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#aviation #wiki
An airplane or aeroplane (informally plane) is a powered , fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller .

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Airplane - Wikipedia
magelink] [emptylink] The first flight of an airplane, the Wright Flyer on December 17, 1903 [imagelink] [emptylink] An All Nippon Airways Boeing 777 -300 taking off from New York JFK Airport . <span>An airplane or aeroplane (informally plane) is a powered , fixed-wing aircraft that is propelled forward by thrust from a jet engine , propeller or rocket engine . Airplanes come in a variety of sizes, shapes, and wing configurations . The broad spectrum of uses for airplanes includes recreation , transportation of goods and people, military , and




Flashcard 1409649085708

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#aviation #wiki
Question
An airplane or aeroplane (informally plane) is a powered , fixed-wing aircraft that is propelled forward by thrust from a [...] or propeller .
Answer
jet engine


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An airplane or aeroplane A (informally plane) is a powered, fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller.

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Airplane - Wikipedia
her uses, see Airplane (disambiguation) and Aeroplane (disambiguation). [imagelink] North American P-51 Mustang, a World War II fighter [imagelink] The first flight of an airplane, the Wright Flyer on December 17, 1903 <span>An airplane or aeroplane A (informally plane) is a powered, fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller. Airplanes come in a variety of sizes, shapes, and wing configurations. The broad spectrum of uses for airplanes includes recreation, transportation of goods and people, military, and re







Flashcard 1409650134284

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#aviation #wiki
Question
An airplane or aeroplane (informally plane) is a powered , fixed-wing aircraft that is propelled forward by thrust from a jet engine or [...] .
Answer
propeller


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An airplane or aeroplane A (informally plane) is a powered, fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller.

Original toplevel document

Airplane - Wikipedia
her uses, see Airplane (disambiguation) and Aeroplane (disambiguation). [imagelink] North American P-51 Mustang, a World War II fighter [imagelink] The first flight of an airplane, the Wright Flyer on December 17, 1903 <span>An airplane or aeroplane A (informally plane) is a powered, fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller. Airplanes come in a variety of sizes, shapes, and wing configurations. The broad spectrum of uses for airplanes includes recreation, transportation of goods and people, military, and re







Flashcard 1428269960460

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#algebra-baldor
Question
El camino recorrido a la derecha o hacia arriba de un punto se desig na con el signo [...] y el camino recorrido a la izquierda o hacia abajo de un punto se representa con el signo [...] .
Answer
+


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El camino recorrido a la derecha o hacia arriba de un punto se desig na con el signo + y el camino recorrido a la izquierda o hacia abajo de un punto se representa con el signo —.

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#analyst-notes #cfa-level-1 #corporate-finance #reading-35-capital-budgeting #study-session-10
Question
Assumptions of capital budgeting are:

  • Capital budgeting decisions must be based on cash flows, not accounting income.

  • Cash flow timing is critical.

  • The opportunity cost should be charged against a project.

  • Expected future cash flows must be measured on an after-tax basis.

  • [...]
Answer
Ignore how the project is financed.


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is on hand does not mean it's free. See below for the definition of opportunity cost. Expected future cash flows must be measured on an after-tax basis. The firm's wealth depends on its usable after-tax funds. <span>Ignore how the project is financed. Interest payments should not be included in the estimated cash flows since the effects of debt financing are reflected in the cost of capital used to discount the cash flows. The existe

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Subject 2. Basic Principles of Capital Budgeting
Capital budgeting decisions are based on incremental after-tax cash flows discounted at the opportunity cost of capital. Assumptions of capital budgeting are: Capital budgeting decisions must be based on cash flows, not accounting income. Accounting profits only measure the return on the invested capital. Accounting income calculations reflect non-cash items and ignore the time value of money. They are important for some purposes, but for capital budgeting, cash flows are what are relevant. Economic income is an investment's after-tax cash flow plus the change in the market value. Financing costs are ignored in computing economic income. Cash flow timing is critical because money is worth more the sooner you get it. Also, firms must have adequate cash flow to meet maturing obligations. The opportunity cost should be charged against a project. Remember that just because something is on hand does not mean it's free. See below for the definition of opportunity cost. Expected future cash flows must be measured on an after-tax basis. The firm's wealth depends on its usable after-tax funds. Ignore how the project is financed. Interest payments should not be included in the estimated cash flows since the effects of debt financing are reflected in the cost of capital used to discount the cash flows. The existence of a project depends on business factors, not financing. Important capital budgeting concepts: A sunk cost is a cash outlay that has already been incurred and which







Flashcard 1479599328524

Tags
#aviation #wiki
Question
An airplane or aeroplane (informally [...]) is a powered , fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller .
Answer
plane


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An airplane or aeroplane (informally plane) is a powered , fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller .

Original toplevel document

Airplane - Wikipedia
sambiguation) and Aeroplane (disambiguation). [imagelink] [emptylink] North American P-51 Mustang, a World War II fighter [imagelink] [emptylink] The first flight of an airplane, the Wright Flyer on December 17, 1903 <span>An airplane or aeroplane (informally plane) is a powered, fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller. Airplanes come in a variety of sizes, shapes, and wing configurations. The broad spectrum of uses for airplanes includes recreation, transportation of goods and people, military, and re







Flashcard 1730169408780

Question
EP uses an iterative approach that leverages [...] of the target distribution.
Answer
the factorization structure


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EP finds approximations to a probability distribution. It uses an iterative approach that leverages the factorization structure of the target distribution.

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Expectation propagation - Wikipedia
Expectation propagation From Wikipedia, the free encyclopedia Jump to: navigation, search Expectation propagation (EP) is a technique in Bayesian machine learning. <span>EP finds approximations to a probability distribution. It uses an iterative approach that leverages the factorization structure of the target distribution. It differs from other Bayesian approximation approaches such as Variational Bayesian methods. References[edit source] Thomas Minka (August 2–5, 2001). "Expectation Propagation







Flashcard 1731460205836

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#matrix
Question
a square matrix A is called diagonalizable if it is similar to [...]
Answer


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In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1 AP is a diagonal matrix.

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Diagonalizable matrix - Wikipedia
Diagonalizable matrix From Wikipedia, the free encyclopedia Jump to: navigation, search This article is about matrix diagonalisation in linear algebra. For other uses, see Diagonalisation. <span>In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1 AP is a diagonal matrix. If V is a finite-dimensional vector space, then a linear map T : V → V is called diagonalizable if there exists an ordered basis of V with respect to which T is represented by a diagona







Flashcard 1731639774476

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#linear-algebra
Question

a linear map is a mapping VW that preserves the operations of [...].

Answer
addition and scalar multiplication


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thematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping V → W between two modules (including vector spaces) that preserves (in the sense defined below) the operations of <span>addition and scalar multiplication. <span><body><html>

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Linear map - Wikipedia
Linear operator) Jump to: navigation, search "Linear transformation" redirects here. For fractional linear transformations, see Möbius transformation. Not to be confused with linear function. <span>In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping V → W between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication. An important special case is when V = W, in which case the map is called a linear operator, [1] or an endomorphism of V. Sometimes the term linear function has the same meaning as li







Flashcard 1731665202444

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#dynamic-programming
Question
memoization saves [...] by storing the results of expensive function calls and returning the cached result when the same inputs occur again.
Answer
computational time


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In computing, memoization or memoisation is an optimization technique used primarily to speed up computer programs by storing the results of expensive function calls and returning the cached result when the same inputs occur again.

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Memoization - Wikipedia
dia, the free encyclopedia Jump to: navigation, search Not to be confused with Memorization. "Tabling" redirects here. For the parliamentary procedure, see Table (parliamentary procedure). <span>In computing, memoization or memoisation is an optimization technique used primarily to speed up computer programs by storing the results of expensive function calls and returning the cached result when the same inputs occur again. Memoization has also been used in other contexts (and for purposes other than speed gains), such as in simple mutually recursive descent parsing [1] . Although related to caching, memoi







Flashcard 1731674901772

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#dynamic-programming
Question
dynamic programming aims to solve each subproblems [...] and storing their solutions.
Answer
just once


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ter science, mathematics, management science, economics and bioinformatics, dynamic programming (also known as dynamic optimization) is a method for solving a complex problem by breaking it down into a collection of simpler subproblems, <span>solving each of those subproblems just once, and storing their solutions. The next time the same subproblem occurs, instead of recomputing its solution, one simply looks up the previously computed solution, thereby saving c

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Dynamic programming - Wikipedia
This article's factual accuracy is disputed. Relevant discussion may be found on the talk page. Please help to ensure that disputed statements are reliably sourced. (November 2015) (Learn how and when to remove this template message) <span>In computer science, mathematics, management science, economics and bioinformatics, dynamic programming (also known as dynamic optimization) is a method for solving a complex problem by breaking it down into a collection of simpler subproblems, solving each of those subproblems just once, and storing their solutions. The next time the same subproblem occurs, instead of recomputing its solution, one simply looks up the previously computed solution, thereby saving computation time at the expense of a (hopefully) modest expenditure in storage space. (Each of the subproblem solutions is indexed in some way, typically based on the values of its input parameters, so as to facilitate its lookup.) The technique of storing solutions to subproblems instead of recomputing them is called "memoization". Dynamic programming algorithms are often used for optimization. A dyna







Flashcard 1731723398412

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#stochastics
Question
In a martingale, the expectation of the next value in the sequence equals to [...]
Answer
the present observed value

even given knowledge of all prior observed values.


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In probability theory, a martingale is a sequence of random variables (i.e., a stochastic process) for which, at a particular time in the realized sequence, the expectation of the next value in the sequence is equal to the present observed value even given knowledge of all prior observed values. <body><html>

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Martingale (probability theory) - Wikipedia
h For the martingale betting strategy, see martingale (betting system). [imagelink] Stopped Brownian motion is an example of a martingale. It can model an even coin-toss betting game with the possibility of bankruptcy. <span>In probability theory, a martingale is a sequence of random variables (i.e., a stochastic process) for which, at a particular time in the realized sequence, the expectation of the next value in the sequence is equal to the present observed value even given knowledge of all prior observed values. Contents [hide] 1 History 2 Definitions 2.1 Martingale sequences with respect to another sequence 2.2 General definition 3 Examples of martingales 4 Submartingales, super







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#stochastics
Question
interpreted as a random element in a function space, a stochastic process can also be called a [...]
Answer
random function


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The term random function is also used to refer to a stochastic or random process, [25] [26] because a stochastic process can also be interpreted as a random element in a function space. <

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Stochastic process - Wikipedia
are considered the most important and central in the theory of stochastic processes, [1] [4] [23] and were discovered repeatedly and independently, both before and after Bachelier and Erlang, in different settings and countries. [21] [24] <span>The term random function is also used to refer to a stochastic or random process, [25] [26] because a stochastic process can also be interpreted as a random element in a function space. [27] [28] The terms stochastic process and random process are used interchangeably, often with no specific mathematical space for the set that indexes the random variables. [27] [29]







Flashcard 1737364213004

Question
functional programming avoids [...]
Answer
changing-state and mutable data


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span> In computer science, functional programming is a programming paradigm—a style of building the structure and elements of computer programs—that treats computation as the evaluation of mathematical functions and avoids <span>changing-state and mutable data <span><body><html>

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Functional programming - Wikipedia
ithic) Object-oriented Actor-based Class-based Concurrent Prototype-based By separation of concerns: Aspect-oriented Role-oriented Subject-oriented Recursive Value-level (contrast: Function-level) Quantum programming v t e <span>In computer science, functional programming is a programming paradigm—a style of building the structure and elements of computer programs—that treats computation as the evaluation of mathematical functions and avoids changing-state and mutable data. It is a declarative programming paradigm, which means programming is done with expressions [1] or declarations [2] instead of statements. In functional code, the output value of a fu







Flashcard 1741142494476

Tags
#measure-theory #stochastics
Question
The smallest sigma-algebra is [...].
Answer
{∅, Ω}


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The smallest sigma-algebra is {∅, Ω}. It must contain Ω by definition, and it must contain ∅ because it is Ω c . Unions and intersections of Ω and ∅ give us the same sets back, no new sets.

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Flashcard 1741151931660

Tags
#measure-theory #stochastics
Question
the elements of a sigma-algebra \(\mathcal{A}\) are called [...].
Answer
measurable sets


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A set Ω equipped with a sigma-algebra is called a measurable space and usually denoted as a pair . In this context, the elements of are called measurable sets.

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Flashcard 1741240536332

Tags
#poisson-process #stochastics
Question
In a homogeneous Poisson point process with , is [...] and is [...]
Answer
Lebegues measure, constant


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If a Poisson point process has a parameter of the form , where is Lebegues measure, and is a constant, then the point process is called a homogeneous or stationary Poisson point process.

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Poisson point process - Wikipedia
edit source] For all the different settings of the Poisson point process, the two key properties [b] of the Poisson distribution and complete independence play an important role. [25] [45] Homogeneous Poisson point process[edit source] <span>If a Poisson point process has a parameter of the form Λ = ν λ {\displaystyle \textstyle \Lambda =\nu \lambda } , where ν {\displaystyle \textstyle \nu } is Lebegues measure, which assigns length, area, or volume to sets, and λ {\displaystyle \textstyle \lambda } is a constant, then the point process is called a homogeneous or stationary Poisson point process. The parameter, called rate or intensity, is related to the expected (or average) number of Poisson points existing in some bounded region, [49] [50] where rate is usually used when the







Flashcard 1744165539084

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#lebesgue-integration
Question
the Banach-Tarski paradox suggests that picking out [...] is an essential prerequisite.
Answer
a suitable class of measurable subsets

The choice of unmeasurable sets can lead to the Banach-Tarski paradox


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er set theory developments showed (see non-measurable set), it is actually impossible to assign a length to all subsets of ℝ in a way that preserves some natural additivity and translation invariance properties. This suggests that picking out <span>a suitable class of measurable subsets is an essential prerequisite. <span><body><html>

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Lebesgue integration - Wikipedia
a useful abstraction of the notion of length of subsets of the real line—and, more generally, area and volume of subsets of Euclidean spaces. In particular, it provided a systematic answer to the question of which subsets of ℝ have a length. <span>As later set theory developments showed (see non-measurable set), it is actually impossible to assign a length to all subsets of ℝ in a way that preserves some natural additivity and translation invariance properties. This suggests that picking out a suitable class of measurable subsets is an essential prerequisite. The Riemann integral uses the notion of length explicitly. Indeed, the element of calculation for the Riemann integral is the rectangle [a, b] × [c, d], whose area is calculated to be







Flashcard 1744236317964

Tags
#lebesgue-integration
Question
the domain of integration in Lebesgue integration is defined as a [...]
Answer
set


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A technical issue in Lebesgue integration is that the domain of integration is defined as a set (a subset of a measure space), with no notion of orientation.

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Lebesgue integration - Wikipedia
1 ] ) = 0 , {\displaystyle \int _{[0,1]}1_{\mathbf {Q} }\,\mathrm {d} \mu =\mu (\mathbf {Q} \cap [0,1])=0,} because Q is countable. Domain of integration[edit source] <span>A technical issue in Lebesgue integration is that the domain of integration is defined as a set (a subset of a measure space), with no notion of orientation. In elementary calculus, one defines integration with respect to an orientation: ∫ b a







Flashcard 1744237890828

Tags
#lebesgue-integration
Question
the domain of integration in Lebesgue integration has no notion of [...].
Answer
orientation

Is this why positive and negative part are dealt with separately?


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A technical issue in Lebesgue integration is that the domain of integration is defined as a set (a subset of a measure space), with no notion of orientation.

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Lebesgue integration - Wikipedia
1 ] ) = 0 , {\displaystyle \int _{[0,1]}1_{\mathbf {Q} }\,\mathrm {d} \mu =\mu (\mathbf {Q} \cap [0,1])=0,} because Q is countable. Domain of integration[edit source] <span>A technical issue in Lebesgue integration is that the domain of integration is defined as a set (a subset of a measure space), with no notion of orientation. In elementary calculus, one defines integration with respect to an orientation: ∫ b a







Flashcard 1744254930188

Tags
#linear-algebra
Question
the cross product is [...123...].


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In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space (R 3 ) and is denoted by the symbol ×. Given two linearly independent vectors a and b, the cross product, a × b, is a vector that is perpendicular to both a and b and thus normal to the plane

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Cross product - Wikipedia
edia, the free encyclopedia Jump to: navigation, search This article is about the cross product of two vectors in three-dimensional Euclidean space. For other uses, see Cross product (disambiguation). <span>In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space (R 3 ) and is denoted by the symbol ×. Given two linearly independent vectors a and b, the cross product, a × b, is a vector that is perpendicular to both a and b and thus normal to the plane containing them. It has many applications in mathematics, physics, engineering, and computer programming. It should not be confused with dot product (projection product). If two vectors have the same







Flashcard 1744294251788

Tags
#lebesgue-integration
Question

To assign a value to [...], the only reasonable choice is to set:

Answer
the integral of the indicator function 1S of a measurable set S consistent with the given measure μ

Notice that the result may be equal to +∞ , unless μ is a finite measure.
Trick: just read the expression from left to right


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To assign a value to the integral of the indicator function 1 S of a measurable set S consistent with the given measure μ, the only reasonable choice is to set: Notice that the result may be equal to +∞ , unless μ is a finite measure.

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Lebesgue integration - Wikipedia
x ) {\displaystyle \int _{E}f\,\mathrm {d} \mu =\int _{E}f\left(x\right)\,\mathrm {d} \mu \left(x\right)} for measurable real-valued functions f defined on E in stages: Indicator functions: <span>To assign a value to the integral of the indicator function 1 S of a measurable set S consistent with the given measure μ, the only reasonable choice is to set: ∫ 1 S d μ = μ ( S ) . {\displaystyle \int 1_{S}\,\mathrm {d} \mu =\mu (S).} Notice that the result may be equal to +∞, unless μ is a finite measure. Simple functions: A finite linear combination of indicator functions ∑ k a







Flashcard 1748756204812

Tags
#borel-algebra #measure-theory
Question
any measure defined on the open sets of a space, or on the closed sets of a space, must also be defined on [...].
Answer
all Borel sets of that space


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Borel sets are important in measure theory, since any measure defined on the open sets of a space, or on the closed sets of a space, must also be defined on all Borel sets of that space.

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Borel set - Wikipedia
or a topological space X, the collection of all Borel sets on X forms a σ-algebra, known as the Borel algebra or Borel σ-algebra. The Borel algebra on X is the smallest σ-algebra containing all open sets (or, equivalently, all closed sets). <span>Borel sets are important in measure theory, since any measure defined on the open sets of a space, or on the closed sets of a space, must also be defined on all Borel sets of that space. Any measure defined on the Borel sets is called a Borel measure. Borel sets and the associated Borel hierarchy also play a fundamental role in descriptive set theory. In some contexts







Flashcard 1748768525580

Tags
#measure-theory #probability-measure
Question
if you know what a probability measure does on [...], then you know what it does on all the Borel sets.
Answer
every interval


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One thing that makes the Borel sets so powerful is that if you know what a probability measure does on every interval, then you know what it does on all the Borel sets.

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Flashcard 1748770622732

Tags
#measure-theory #probability-measure
Question
if you know what a probability measure does on every interval, then you know what it does on [...].
Answer
all the Borel sets


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One thing that makes the Borel sets so powerful is that if you know what a probability measure does on every interval, then you know what it does on all the Borel sets.

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Flashcard 1749098827020

Question
A Hilbert space is an abstract vector space possessing the structure of [...] that allows length and angle to be measured.
Answer


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A Hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured.

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Hilbert space - Wikipedia
e state of a vibrating string can be modeled as a point in a Hilbert space. The decomposition of a vibrating string into its vibrations in distinct overtones is given by the projection of the point onto the coordinate axes in the space. <span>The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions. A Hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured. Furthermore, Hilbert spaces are complete: there are enough limits in the space to allow the techniques of calculus to be used. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as infinite-dimensional function spaces. The earliest Hilbert spaces were studied from this point o







Flashcard 1749126352140

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#matrix-decomposition
Question
By the spectral theorem, real symmetric matrices and complex Hermitian matrices have an [...]
Answer


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By the spectral theorem, real symmetric matrices and complex Hermitian matrices have an eigenbasis

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Matrix (mathematics) - Wikipedia
x. In complex matrices, symmetry is often replaced by the concept of Hermitian matrices, which satisfy A ∗ = A, where the star or asterisk denotes the conjugate transpose of the matrix, that is, the transpose of the complex conjugate of A. <span>By the spectral theorem, real symmetric matrices and complex Hermitian matrices have an eigenbasis; that is, every vector is expressible as a linear combination of eigenvectors. In both cases, all eigenvalues are real. [29] This theorem can be generalized to infinite-dimensional situations related to matrices with infinitely many rows and columns, see below. Invertible matrix and its inverse[edit s







#inner-product-space
In a normed space, the statement of the parallelogram law is an equation relating norms:

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Parallelogram law - Wikipedia
2 {\displaystyle BD^{2}+AC^{2}=2a^{2}+2b^{2}} Q.E.D. The parallelogram law in inner product spaces[edit source] [imagelink] Vectors involved in the parallelogram law. <span>In a normed space, the statement of the parallelogram law is an equation relating norms: 2 ‖ x ‖ 2 + 2 ‖ y ‖




Flashcard 1752701472012

Tags
#inner-product-space
Question
In a normed space, the statement of the parallelogram law is [...]:
Answer
an equation relating norms


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In a normed space, the statement of the parallelogram law is an equation relating norms:

Original toplevel document

Parallelogram law - Wikipedia
2 {\displaystyle BD^{2}+AC^{2}=2a^{2}+2b^{2}} Q.E.D. The parallelogram law in inner product spaces[edit source] [imagelink] Vectors involved in the parallelogram law. <span>In a normed space, the statement of the parallelogram law is an equation relating norms: 2 ‖ x ‖ 2 + 2 ‖ y ‖







Flashcard 1753096785164

Question
A question about confidence regarding what you do;
Answer
What would it take for you to be confident that we'll meet your requirements?


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Flashcard 1753099144460

Question
Confirm what they want.
Answer
most of the work on the ...... will be done on..... Is that what you want?


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Flashcard 1753100979468

Question
A time question.
Answer
How much time would we have to prepare ....?


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Flashcard 1753103338764

Question
You can do what they want, ask for some commitments?
Answer
We won't have any problem with the ...... Are you ready to make some commitments?


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Flashcard 1753108843788

Question
When you ask about commitments and they ask; What do you mean? Say;
Answer
I'm ready to make some commitments if you are.


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Flashcard 1753111203084

Question
If prospect makes a comment, ask;
Answer
Is that something y ou want to talk about now?


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Flashcard 1753113562380

Question
What are some good questions to ask to make certain that you have uncovered everything that is important to the prospect regarding your discussion?
Answer
Is there anything else we should discuss? Are you satisfied we've covered all of your concerns?


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Flashcard 1753115921676

Question
What is a good action confirming question?
Answer
Are you sure this is what you want to do?


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Flashcard 1753118280972

Question
(To buyer)
Answer
Are you willing to release the order to us tomorrow?


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Flashcard 1753120640268

Question
I'll need the Purchasing Manager's signature on the first order because it's so large, and because we're depending on you for a critical delivery schedule.
Answer
Will the Purchasing Manager be in tomorrow?


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Flashcard 1753122999564

Question
A confirming question about any additional information that should be added to the issue at hand?
Answer
Is there anything else we should know or discuss today about the (the issue at hand)...?


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Flashcard 1753126145292

Question
Thanks for your prompt attention.
Answer
VP: You're welcome.


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Flashcard 1753128504588

Question
Asking about future opportunity to work them;
Answer
Will we have the opportunity to work with you on,,,, when the time is right?


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High Probability Selling teaches that selling is the art of Agreement and Commitment. Only High Probability Prospects - those who are willing to commit step-by-step to the buying process - are worth the salesperson's time, energy and resources.

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In High Probability Selling, the basic idea is to disqualify prospects who don't fit certain criteria, and that can happen at any point in the process

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Selling is reaching a series of agreements with those prospects who first acknowledge that they need, want and can afford what we're selling, and commit to buy from us at a specified time if we fulfill their Conditions of Satisfaction.

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What most salespeople don't realize is they're wasting a lot of good selling opportunities by seeing too many of the wrong prospects. That wastes time, talent, energy, emotional strength and company resources

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Flashcard 1753143184652

Question
How do you know whether you have a good prospect?
Answer
Here's how we categorize them: 1. Some prospects already need, want, and can afford what we sell. That group is happy to buy from us. 2. Some prospects need and can afford what we sell but do not want it. 3. Some prospects need and want what we sell but can't afford it. 4. Some prospects need, want and can afford what we sell, but won't buy from us. Like prospects who want what we sell, but prefer another brand or source. Obviously, we should be spending most of our time and resources talking to prospects in category one.


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How do you know whether you have a good prospect? Here's how we categorize them: 1. Some prospects already need, want, and can afford what we sell. That group is happy to buy from us. 2. Some prospects need and can afford what we sell but do not want it. 3. Some prospects need and want what we sell but can't afford it. 4. Some prospects need, want and can afford what we sell, but won't buy from us. Like prospects who want what we sell, but prefer another brand or source. Obviously, we should be spending most of our time and resources talking to prospects in category one.

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Most prospects make up their minds about an offer in the first minute. That's about all the time worth spending when you're prospecting.

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Aggressive salespeople create defensive prospects. Persistence breeds annoyance. Those approaches and other things salespeople do to manipulate prospects in order to get an appointment are what cause "sales resistance."

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Millions of people were taught sales techniques based on a model that most salespeople found difficult to learn and uncomfortable to apply. This technology was based on the idea that you could use psychology to make almost anyone buy almost anything.

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We've discovered that what works in sales is very different from what we were taught traditionally. And what we've learned fits into a pattern that is governed by certain basic principles, which is why High Probability Selling is called a technology.

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Some sales systems tell you to keep asking for the order until the prospect throws you out. We never ask for the order.

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We don't waste time trying to sell prospects who probably won't buy from us. Why waste the effort?

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It's better to be seeing five High Probability Prospects, who've already told you that they need, want and can afford what you're selling and will buy from you now if you can meet certain criteria?

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You have to eliminate sales resistance in the prospects you contact.

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We don't handle objections. In a High Probability Selling environment, the prospect is involved in the process of reaching agreement with you, not trying to resist being convinced. "Objections" don't surface as arguments or reasons why the prospect won't buy. They surface as points that have to be addressed, discussed and negotiated

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With the five-step model - Attention, Interest, Desire, Conviction, and Action (Closing), the whole approach is very manipulative and adversarial. It also takes a lot of time, a lot of energy and a ton of practice. It's also difficult to do without offending the prospect. And what's most offensive to prospects is that the salesperson does almost all of the talking. In this play, the customer's only role is answering yes to rhetorical questions.

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Attention If you have to do something unusual to get a prospect's attention, you don't have a very good prospect; certainly not a High Probability Prospect. Disqualifying a prospect like that prevents you from wasting your time. When you're offering people something they want, they naturally pay attention.

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Interest A lot of time is wasted trying to get uninterested people interested, and in boring people who are already interested. More importantly, there are a lot of interested people who won't act. The prospect's level of interest is meaningless. What counts is whether your prospect wants what you have to sell.

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Desire Rather than creating desire for your product or service by telling prospects about its features and benefits, you should be showing them how your product satisfies the desires they already have. But that should only be done after they've made a conditional commitment to buy.

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Conviction By the time you get to this step, you're in the "Can You Top This" mode. While you're showing, telling and proving, the prospect has yet to either set the limits for his satisfaction or make any commitment.

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Action If you don't close until the end of your presentation you've put out too much effort for an uncertain result. That invites crushing disappointment. In High Probability Selling, the entire process is the close.

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Learning High Probability Selling requires effort and lots of practice. But once you learn it, selling becomes easier and more natural and you'll increase your sales. And it's not a matter of concentration. Once you learn it, you own it. It becomes part of you.

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If you want to sell as many prospects as you can within the time you have available, it's much more efficient to start with prospects who already want your product or service. With that in mind, we skip the first four steps and begin with the "Action" (close) step. That's where you want a prospect's attention. But, we don't use traditional closing techniques. We have too much respect for people to manipulate them. After you learn more about High Probability Prospecting, you'll see that we're always closing.

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High Probability Selling is a totally different approach. Traditional selling does try to get the prospect to do something, whether he wants to or not. Our object is to determine whether you and the prospect have a mutually beneficial basis for doing business, and if not, to go your separate ways. If there isn't mutual agreement and mutual commitment at any point in the discussion, the process stops. We continuously give the prospect every opportunity to disqualify himself, early and often, from beginning to end. As a result, if you and the prospect get through the three phases of the process, there's a very high level of assurance that both of you will get the result that you each want.

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The three phases of High Probability Selling are:
High Probability Prospecting
High Probability Selling
High Probability Closing

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In High Probability Selling, I think you'll decide that it's worthwhile to give up the struggle and save the effort and frustration.

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High Probability Selling will make a difference in your career. Your commissions really take off. You will be more relaxed at work and feel better about yourself, have more dignity and self-esteem, and be more in control of the selling process.

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You are correct in not using the company's resources in a no-win activity. Most prospects respect that kind of no-nonsense approach.

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If the prospect shows an unwillingness to have a frank and open discussion end the meeting.

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There is a value in questions and a value in not going forward when you don't get clear and honest answers to them.

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High Probability Selling is really a method of inquiry. The inquiry is designed to arrive at a meeting of the minds and result in mutual commitments between the salesperson and the prospect by determining whether: A. The prospect needs, wants, and can afford our product; B. The prospect is willing to define his Conditions of Satisfaction which, if met, will result in the purchase of our product; and, C. The commitment the prospect makes with regard to his Conditions of Satisfaction is specific as to all the necessary particulars and is absolute and unequivocal.

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"On what basis, if any, would you be willing to have us supply some of your packaging materials - as a second source supplier?" The prospect asked what she meant by that, and she said, "Would the right price, or fast delivery, or guaranteed top quality be a deciding factor?"

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#vector-space
a norm is a function that assigns a strictly positive length or size to each vector (bar zero vector) in a vector space

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Norm (mathematics) - Wikipedia
analysis. For field theory, see Field norm. For ideals, see Ideal norm. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional analysis, and related areas of mathematics, <span>a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero. A seminorm, on the other hand, is allowed to assign zero length to some non-zero vectors (in addition to the zero vector).




Flashcard 1753207409932

Tags
#vector-space
Question
a norm is a [...] that assigns a strictly positive length or size to each vector in a vector space
Answer
function


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a norm is a function that assigns a strictly positive length or size to each vector in a vector space

Original toplevel document

Norm (mathematics) - Wikipedia
analysis. For field theory, see Field norm. For ideals, see Ideal norm. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional analysis, and related areas of mathematics, <span>a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero. A seminorm, on the other hand, is allowed to assign zero length to some non-zero vectors (in addition to the zero vector).







Flashcard 1753209769228

Tags
#vector-space
Question
a norm is a function that assigns a [...] to each vector in a vector space
Answer
nonnegative length or size


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a norm is a function that assigns a strictly positive length or size to each vector (bar zero vector) in a vector space

Original toplevel document

Norm (mathematics) - Wikipedia
analysis. For field theory, see Field norm. For ideals, see Ideal norm. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional analysis, and related areas of mathematics, <span>a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero. A seminorm, on the other hand, is allowed to assign zero length to some non-zero vectors (in addition to the zero vector).







#incremental-reading

The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading.

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FAQ: Incremental reading
ng and 10% of your time on adding most important findings to SuperMemo, your reading speed will actually decline only by some 10%, while the retention of the most important pieces will be as high as programmed in SuperMemo (up to 99%). <span>The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading. It is worth noting that the learning speed limit in high-retention learning is imposed by your memory. If one-book-per-year sounds like a major disappointment, the roots of this lay




#incremental-reading
The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention.

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The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditio

Original toplevel document

FAQ: Incremental reading
ng and 10% of your time on adding most important findings to SuperMemo, your reading speed will actually decline only by some 10%, while the retention of the most important pieces will be as high as programmed in SuperMemo (up to 99%). <span>The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading. It is worth noting that the learning speed limit in high-retention learning is imposed by your memory. If one-book-per-year sounds like a major disappointment, the roots of this lay




#incremental-reading
With incremental reading, you ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable to traditional book reading.

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The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading.

Original toplevel document

FAQ: Incremental reading
ng and 10% of your time on adding most important findings to SuperMemo, your reading speed will actually decline only by some 10%, while the retention of the most important pieces will be as high as programmed in SuperMemo (up to 99%). <span>The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading. It is worth noting that the learning speed limit in high-retention learning is imposed by your memory. If one-book-per-year sounds like a major disappointment, the roots of this lay




Flashcard 1753273208076

Tags
#incremental-reading
Question
incremental reading helps balance [...] and [...]
Answer
speed and retention


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The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention.

Original toplevel document

FAQ: Incremental reading
ng and 10% of your time on adding most important findings to SuperMemo, your reading speed will actually decline only by some 10%, while the retention of the most important pieces will be as high as programmed in SuperMemo (up to 99%). <span>The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading. It is worth noting that the learning speed limit in high-retention learning is imposed by your memory. If one-book-per-year sounds like a major disappointment, the roots of this lay







Flashcard 1753276353804

Tags
#incremental-reading
Question
With incremental reading, you ensure high-retention of [...]
Answer
the most important pieces of text


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With incremental reading, you ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable to typical of traditional book reading.

Original toplevel document

FAQ: Incremental reading
ng and 10% of your time on adding most important findings to SuperMemo, your reading speed will actually decline only by some 10%, while the retention of the most important pieces will be as high as programmed in SuperMemo (up to 99%). <span>The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading. It is worth noting that the learning speed limit in high-retention learning is imposed by your memory. If one-book-per-year sounds like a major disappointment, the roots of this lay







Flashcard 1753278713100

Tags
#incremental-reading
Question
With incremental reading, the majority of time should still be spent on reading at [...].
Answer
normal speed


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With incremental reading, you ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable to traditional book reading.

Original toplevel document

FAQ: Incremental reading
ng and 10% of your time on adding most important findings to SuperMemo, your reading speed will actually decline only by some 10%, while the retention of the most important pieces will be as high as programmed in SuperMemo (up to 99%). <span>The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading. It is worth noting that the learning speed limit in high-retention learning is imposed by your memory. If one-book-per-year sounds like a major disappointment, the roots of this lay







Flashcard 1753280285964

Tags
#incremental-reading
Question
With incremental reading, [...how much...] time will be spent reading at speeds comparable to traditional book reading.
Answer
a large proportion


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With incremental reading, you ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable to traditional book reading.

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FAQ: Incremental reading
ng and 10% of your time on adding most important findings to SuperMemo, your reading speed will actually decline only by some 10%, while the retention of the most important pieces will be as high as programmed in SuperMemo (up to 99%). <span>The concept of incremental reading introduced in SuperMemo 2000 provides you with a precise tool for finding the optimum balance between speed and retention. You will ensure high-retention of the most important pieces of text, while a large proportion of time will be spent reading at speeds comparable or higher than those typical of traditional book reading. It is worth noting that the learning speed limit in high-retention learning is imposed by your memory. If one-book-per-year sounds like a major disappointment, the roots of this lay







#calculus
Euler's formula establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

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Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for any real number x e i x = cos ⁡ x + i sin ⁡ x , {\displaystyle e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imagina

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Euler's formula - Wikipedia
s formula half-lives exponential growth and decay Defining e proof that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e <span>Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for any real number x e i x = cos ⁡ x + i sin ⁡ x , {\displaystyle e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively, with the argument x given in radians. This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid if x is a complex number, and so some authors refer to the more




#calculus

Euler's formula states that with the argument x given in radians.

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span> Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for any real number x e i x = cos ⁡ x + i sin ⁡ x , {\displaystyle e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively, with the argument x given in radians. <span><body><html>

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Euler's formula - Wikipedia
s formula half-lives exponential growth and decay Defining e proof that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e <span>Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for any real number x e i x = cos ⁡ x + i sin ⁡ x , {\displaystyle e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively, with the argument x given in radians. This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid if x is a complex number, and so some authors refer to the more




Flashcard 1753285790988

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#calculus
Question
Euler's formula establishes the fundamental relationship between the trigonometric functions and [...]


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Euler's formula establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

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Euler's formula - Wikipedia
s formula half-lives exponential growth and decay Defining e proof that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e <span>Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for any real number x e i x = cos ⁡ x + i sin ⁡ x , {\displaystyle e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively, with the argument x given in radians. This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid if x is a complex number, and so some authors refer to the more







Flashcard 1753288150284

Tags
#calculus
Question

Euler's formula states that [...], with the argument x given in radians

Answer


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Euler's formula states that with the argument x given in radians.

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Euler's formula - Wikipedia
s formula half-lives exponential growth and decay Defining e proof that e is irrational representations of e Lindemann–Weierstrass theorem People John Napier Leonhard Euler Related topics Schanuel's conjecture v t e <span>Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for any real number x e i x = cos ⁡ x + i sin ⁡ x , {\displaystyle e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively, with the argument x given in radians. This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid if x is a complex number, and so some authors refer to the more







#fourier-analysis
the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis.

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Fourier analysis - Wikipedia
, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, <span>the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. For example, determining what component frequencies are present in a musical note would involve computing the Fourier transform of a sampled musical note. One could then re-synthesize t




#fourier-analysis
the original concept of Fourier analysis has been extended to apply to more and more abstract and general situations, and is often known as harmonic analysis.

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Fourier analysis - Wikipedia
ions. The decomposition process itself is called a Fourier transformation. Its output, the Fourier transform, is often given a more specific name, which depends on the domain and other properties of the function being transformed. Moreover, <span>the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis. Each transform used for analysis (see list of Fourier-related transforms) has a corresponding inverse transform that can be used for synthesis. Contents [hide] 1 Application




Flashcard 1753296276748

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#fourier-analysis
Question
The reverse of Fourier analysis is known as [...].
Answer
Fourier synthesis


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the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis.

Original toplevel document

Fourier analysis - Wikipedia
, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, <span>the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. For example, determining what component frequencies are present in a musical note would involve computing the Fourier transform of a sampled musical note. One could then re-synthesize t







Flashcard 1753298636044

Tags
#fourier-analysis
Question
Fourier analysis has been extended to [...].
Answer
harmonic analysis


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the original concept of Fourier analysis has been extended to apply to more and more abstract and general situations, and is often known as harmonic analysis.

Original toplevel document

Fourier analysis - Wikipedia
ions. The decomposition process itself is called a Fourier transformation. Its output, the Fourier transform, is often given a more specific name, which depends on the domain and other properties of the function being transformed. Moreover, <span>the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis. Each transform used for analysis (see list of Fourier-related transforms) has a corresponding inverse transform that can be used for synthesis. Contents [hide] 1 Application







#metric #metric-space #topological-space
In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance.

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Metric space - Wikipedia
her, are called a metric on the set. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces. The most familiar metric space is 3-dimensional Euclidean space. <span>In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line segment connecting them. Other metric spaces occur for example in elliptic geometry and h




[unknown IMAGE 1753305451788]
#has-images
Euclid's parallel postulate:
If the sum of the interior angles α and β is less than 180°, the two straight lines, produced indefinitely, meet on that side.

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Parallel postulate - Wikipedia
Parallel postulate - Wikipedia Parallel postulate From Wikipedia, the free encyclopedia Jump to: navigation, search [imagelink] If the sum of the interior angles α and β is less than 180°, the two straight lines, produced indefinitely, meet on that side. In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It




Flashcard 1753308335372

[unknown IMAGE 1753305451788]
Tags
#has-images
Question
Euclid's parallel postulate:
If [...], the two straight lines, produced indefinitely, meet on that side.
Answer
the sum of the interior angles α and β is less than 180°


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Euclid's parallel postulate: If the sum of the interior angles α and β is less than 180°, the two straight lines, produced indefinitely, meet on that side.

Original toplevel document

Parallel postulate - Wikipedia
Parallel postulate - Wikipedia Parallel postulate From Wikipedia, the free encyclopedia Jump to: navigation, search [imagelink] If the sum of the interior angles α and β is less than 180°, the two straight lines, produced indefinitely, meet on that side. In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It







Flashcard 1753310694668

Tags
#metric-space #topological-space
Question
"metric" is a generalization of [...]
Answer
the Euclidean distance


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In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance.

Original toplevel document

Metric space - Wikipedia
her, are called a metric on the set. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces. The most familiar metric space is 3-dimensional Euclidean space. <span>In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line segment connecting them. Other metric spaces occur for example in elliptic geometry and h







#elliptic-geometry
Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold.

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Elliptic geometry - Wikipedia
Jyeṣṭhadeva Descartes Pascal Minggatu Euler Sakabe Aida 1700s–1900s Gauss Lobachevsky Bolyai Riemann Klein Poincaré Hilbert Minkowski Cartan Veblen Coxeter Present day Atiyah Gromov [imagelink] Geometry portal v t e <span>Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold. Elliptic geometry is studied in two, three, or more dimensions. The appearance of this geometry in the nineteenth century stimulated the development of non-Euclidean geometry generally,




Flashcard 1753316461836

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#elliptic-geometry
Question
Elliptic geometry is a geometry in which [...] does not hold.
Answer


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Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold.

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Elliptic geometry - Wikipedia
Jyeṣṭhadeva Descartes Pascal Minggatu Euler Sakabe Aida 1700s–1900s Gauss Lobachevsky Bolyai Riemann Klein Poincaré Hilbert Minkowski Cartan Veblen Coxeter Present day Atiyah Gromov [imagelink] Geometry portal v t e <span>Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold. Elliptic geometry is studied in two, three, or more dimensions. The appearance of this geometry in the nineteenth century stimulated the development of non-Euclidean geometry generally,







Flashcard 1753318034700

Tags
#elliptic-geometry
Question
[...] is a geometry in which Euclid's parallel postulate does not hold.
Answer
Elliptic geometry


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Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold.

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Elliptic geometry - Wikipedia
Jyeṣṭhadeva Descartes Pascal Minggatu Euler Sakabe Aida 1700s–1900s Gauss Lobachevsky Bolyai Riemann Klein Poincaré Hilbert Minkowski Cartan Veblen Coxeter Present day Atiyah Gromov [imagelink] Geometry portal v t e <span>Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold. Elliptic geometry is studied in two, three, or more dimensions. The appearance of this geometry in the nineteenth century stimulated the development of non-Euclidean geometry generally,







#metric-space #topological-space
A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces.

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In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces.

Original toplevel document

Metric space - Wikipedia
Metric space - Wikipedia Metric space From Wikipedia, the free encyclopedia Jump to: navigation, search In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces. The most familiar metric space is 3-dimensional Euclidean space. In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known propertie




Flashcard 1753321180428

Tags
#metric-space #topological-space
Question
A metric on a space induces [...] like open and closed sets
Answer
topological properties


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A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces.

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Metric space - Wikipedia
Metric space - Wikipedia Metric space From Wikipedia, the free encyclopedia Jump to: navigation, search In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces. The most familiar metric space is 3-dimensional Euclidean space. In fact, a "metric" is the generalization of the Euclidean metric arising from the four long-known propertie







#topology
The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined.

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Open set - Wikipedia
set can be open (called the discrete topology), or no set can be open but the space itself and the empty set (the indiscrete topology). In practice, however, open sets are usually chosen to be similar to the open intervals of the real line. <span>The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined. Once a choice of open sets is made, the properties of continuity, connectedness, and compactness, which use notions of nearness, can be defined using these open sets. Each choice of o




Flashcard 1753325899020

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#topology
Question
The notion of an [...] provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined.
Answer
open set


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The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined.

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Open set - Wikipedia
set can be open (called the discrete topology), or no set can be open but the space itself and the empty set (the indiscrete topology). In practice, however, open sets are usually chosen to be similar to the open intervals of the real line. <span>The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined. Once a choice of open sets is made, the properties of continuity, connectedness, and compactness, which use notions of nearness, can be defined using these open sets. Each choice of o







Flashcard 1753327471884

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#topology
Question
The notion of an open set provides a fundamental way to speak of [...] in a topological space, without explicitly having a concept of distance defined.
Answer
nearness of points


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The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined.

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Open set - Wikipedia
set can be open (called the discrete topology), or no set can be open but the space itself and the empty set (the indiscrete topology). In practice, however, open sets are usually chosen to be similar to the open intervals of the real line. <span>The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined. Once a choice of open sets is made, the properties of continuity, connectedness, and compactness, which use notions of nearness, can be defined using these open sets. Each choice of o







Flashcard 1753329044748

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#topology
Question
The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of [...] defined.
Answer
distance


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The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined.

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Open set - Wikipedia
set can be open (called the discrete topology), or no set can be open but the space itself and the empty set (the indiscrete topology). In practice, however, open sets are usually chosen to be similar to the open intervals of the real line. <span>The notion of an open set provides a fundamental way to speak of nearness of points in a topological space, without explicitly having a concept of distance defined. Once a choice of open sets is made, the properties of continuity, connectedness, and compactness, which use notions of nearness, can be defined using these open sets. Each choice of o







#topological-properties
In topology, a homeomorphism is a continuous function between topological spaces that has a continuous inverse function.

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In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preserve all the topological properties of a given space. Two spaces with a

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Homeomorphism - Wikipedia
formation between a coffee mug and a donut (torus) illustrating that they are homeomorphic. But there need not be a continuous deformation for two spaces to be homeomorphic — only a continuous mapping with a continuous inverse function. <span>In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same. The word homeomorphism comes from the Greek words ὅμοιος (homoios) = similar or same (French pareil) and μορφή (morphē) = shape, form, introduced to mathematics by Henri Poincaré in 189




Flashcard 1753332976908

Tags
#topological-properties
Question
In topology, a [...] is a continuous function between topological spaces that has a continuous inverse function.
Answer
homeomorphism


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In topology, a homeomorphism is a continuous function between topological spaces that has a continuous inverse function.

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Homeomorphism - Wikipedia
formation between a coffee mug and a donut (torus) illustrating that they are homeomorphic. But there need not be a continuous deformation for two spaces to be homeomorphic — only a continuous mapping with a continuous inverse function. <span>In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same. The word homeomorphism comes from the Greek words ὅμοιος (homoios) = similar or same (French pareil) and μορφή (morphē) = shape, form, introduced to mathematics by Henri Poincaré in 189







#topology
The definition of a topological space relies only upon set theory

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The definition of a topological space relies only upon set theory and is the most general notion of a mathematical space that allows for the definition of concepts such as continuity, connectedness, and convergence.

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Topological space - Wikipedia
, search In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods. <span>The definition of a topological space relies only upon set theory and is the most general notion of a mathematical space that allows for the definition of concepts such as continuity, connectedness, and convergence. [1] Other spaces, such as manifolds and metric spaces, are specializations of topological spaces with extra structures or constraints. Being so general, topological spaces are a centra




Flashcard 1753336122636

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#topology
Question
The definition of a topological space relies only upon [...]
Answer
set theory


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The definition of a topological space relies only upon set theory

Original toplevel document

Topological space - Wikipedia
, search In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods. <span>The definition of a topological space relies only upon set theory and is the most general notion of a mathematical space that allows for the definition of concepts such as continuity, connectedness, and convergence. [1] Other spaces, such as manifolds and metric spaces, are specializations of topological spaces with extra structures or constraints. Being so general, topological spaces are a centra







#investopedia
A proxy statement is a document containing the information the SEC requires companies to provide to shareholders so shareholders can make informed decisions about matters that will be brought up at an annual or special stockholder meeting.

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A proxy statement is a document containing the information the Securities and Exchange Commission (SEC) requires companies to provide to shareholders so shareholders can make informed decisions about matters that will be brought up at an annual or special stockholder meeting. Issues covered in a proxy statement can include proposals for new additions to the board of directors, information on directors' salaries, information on bonus and options plans for di

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Proxy Statement
[imagelink] <span>What is a 'Proxy Statement' A proxy statement is a document containing the information the Securities and Exchange Commission (SEC) requires companies to provide to shareholders so shareholders can make informed decisions about matters that will be brought up at an annual or special stockholder meeting. Issues covered in a proxy statement can include proposals for new additions to the board of directors, information on directors' salaries, information on bonus and options plans for directors, and any declarations made by the company's management. BREAKING DOWN 'Proxy Statement' A proxy statement must be filed by a publicly traded company before shareholder meetings, and it discloses material




#investopedia

Issues covered in a proxy statement can include proposals for new additions to the board of directors, information on directors' salaries, information on bonus and options plans for directors, and any declarations made by the company's management.

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ntaining the information the Securities and Exchange Commission (SEC) requires companies to provide to shareholders so shareholders can make informed decisions about matters that will be brought up at an annual or special stockholder meeting. <span>Issues covered in a proxy statement can include proposals for new additions to the board of directors, information on directors' salaries, information on bonus and options plans for directors, and any declarations made by the company's management. <span><body><html>

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Proxy Statement
[imagelink] <span>What is a 'Proxy Statement' A proxy statement is a document containing the information the Securities and Exchange Commission (SEC) requires companies to provide to shareholders so shareholders can make informed decisions about matters that will be brought up at an annual or special stockholder meeting. Issues covered in a proxy statement can include proposals for new additions to the board of directors, information on directors' salaries, information on bonus and options plans for directors, and any declarations made by the company's management. BREAKING DOWN 'Proxy Statement' A proxy statement must be filed by a publicly traded company before shareholder meetings, and it discloses material




Flashcard 1753346870540



Tags
#has-images #reading-megafono
Question

Who is responsible for the form and content pf the financial statements?

Answer
Management


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#bascula-session #has-images #reading-embudo
Under IFRS, the income statement may be presented as a separate statement followed by a statement of comprehensive income that begins with the profit or loss from the income statement or as a section of a single statement of comprehensive income.

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Under IFRS , the income statement may be presented as a separate statement followed by a statement of comprehensive income that begins with the profit or loss from the income statement or as a section of a single statement of comprehensive income. US GAAP permit the same alternative presentation formats.2 This reading focuses on the income statement, but also discusses comprehensive income (profit or loss from the income statem

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Reading 24  Understanding Income Statements Intro
The income statement presents information on the financial results of a company’s business activities over a period of time. The income statement communicates how much revenue the company generated during a period and what costs it incurred in connection with generating that revenue. The basic equation underlying the income statement, ignoring gains and losses, is Revenue minus Expenses equals Net income. The income statement is also sometimes referred to as the “statement of operations,” “statement of earnings,” or “profit and loss (P&L) statement.” Under International Financial Reporting Standards (IFRS), the income statement may be presented as a separate statement followed by a statement of comprehensive income that begins with the profit or loss from the income statement or as a section of a single statement of comprehensive income.1 US generally accepted accounting principles (US GAAP) permit the same alternative presentation formats.2 This reading focuses on the income statement, but also discusses comprehensive income (profit or loss from the income statement plus other comprehensive income). Investment analysts intensely scrutinize companies’ income statements.3 Equity analysts are interested in them because equity markets often reward relatively high- or low-earnings growth companies with above-average or below-average valuations, respectively, and because inputs into valuation models often include estimates of earnings. Fixed-income analysts examine the components of income statements, past and projected, for information on companies’ abilities to make promised payments on their debt over the course of the business cycle. Corporate financial announcements frequently emphasize information reported in income statements, particularly earnings, more than information reported in the other financial statements. This reading is organized as follows: Section 2 describes the components of the income statement and its format. Section 3 describes basic principles and selected applicati





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US GAAP permit the same alternative presentation formats.2 This reading focuses on the income statement, but also discusses comprehensive income (profit or loss from the income statement plus other comprehensive income).

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IFRS , the income statement may be presented as a separate statement followed by a statement of comprehensive income that begins with the profit or loss from the income statement or as a section of a single statement of comprehensive income. <span>US GAAP permit the same alternative presentation formats.2 This reading focuses on the income statement, but also discusses comprehensive income (profit or loss from the income statement plus other comprehensive income). <span><body><html>

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Reading 24  Understanding Income Statements Intro
The income statement presents information on the financial results of a company’s business activities over a period of time. The income statement communicates how much revenue the company generated during a period and what costs it incurred in connection with generating that revenue. The basic equation underlying the income statement, ignoring gains and losses, is Revenue minus Expenses equals Net income. The income statement is also sometimes referred to as the “statement of operations,” “statement of earnings,” or “profit and loss (P&L) statement.” Under International Financial Reporting Standards (IFRS), the income statement may be presented as a separate statement followed by a statement of comprehensive income that begins with the profit or loss from the income statement or as a section of a single statement of comprehensive income.1 US generally accepted accounting principles (US GAAP) permit the same alternative presentation formats.2 This reading focuses on the income statement, but also discusses comprehensive income (profit or loss from the income statement plus other comprehensive income). Investment analysts intensely scrutinize companies’ income statements.3 Equity analysts are interested in them because equity markets often reward relatively high- or low-earnings growth companies with above-average or below-average valuations, respectively, and because inputs into valuation models often include estimates of earnings. Fixed-income analysts examine the components of income statements, past and projected, for information on companies’ abilities to make promised payments on their debt over the course of the business cycle. Corporate financial announcements frequently emphasize information reported in income statements, particularly earnings, more than information reported in the other financial statements. This reading is organized as follows: Section 2 describes the components of the income statement and its format. Section 3 describes basic principles and selected applicati




Don't waste your resources on Low Probability Prospects

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Keep in mind that the intangible emotional drain on the salesperson of working with a low probability prospect is a hidden, but very considerable, additional cost.

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In a traditional sales situation, the salesperson and the customer are adversaries. It's hard to have a sincere relationship with your enemy. In High Probability Selling the object is to build a relationship based on mutual trust and respect. In order to do that it's necessary to find out who the prospect really is. The salesperson gets ripped off with anything less. If the prospect isn't open and honest with us, we don't deal with him.

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High Probability Selling is very different. First, we clarify what it is the prospect wants, and we both agree on exactly what those wants are. We call those wants the prospect's Conditions Of Satisfaction. Second, assuming we can fulfill those Conditions Of Satisfaction profitably, we negotiate mutual commitments. In other words, we get crystal clear on what each of us promises to do. When you're negotiating commitments, you're into what you've always called the "close.

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We should be almost always asking instead of telling. You should frame most of what you have to say in the form of a question. The prospect should do most of the talking, primarily answering your questions. The more the prospect talks, the more both of you win.

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The more you try to convince the prospect that your product or service is the best, the more resistance you create.

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Understand this, almost anything you say can be phrased as a question. As long as you're asking questions, the prospect remains involved in the conversation.

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Do you prefer to have...?

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Yes, is that what you want?

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Are you willing to pay more for top quality and on-time delivery of service?

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When you're focusing on what the prospect has to say, your ideas on how to serve him are welcomed, especially when those ideas are phrased as questions.

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What else do you want?

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Gathering information isn't closing.

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The entire High Probability Selling process is a closing process.

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The web is the ultimate merit-based marketplace: If you have what they want, they’ll buy it.

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you can literally be up and running with a full-featured web site for well under $100.

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create a product for next to no money and for just a little bit of your time

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You don’t need big blocks of time to get a six-figure second income. All you need is scraps of time here and there.

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people can get things done on their own without being told what to do and when to do it. Are you one of these people?

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The real trick is to know your very next step to take and to take small actions regularly.

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some people out there are ready-and- willing buyers right now. It’s a matter of finding them

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we’re living in a society where the pace of new good ideas is getting quicker

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Most people are collectors of things. They don’t buy just one book but lots of them. They don’t have one cat but several. They don’t stop with one screwdriver, casserole recipe, or dog leash, but they own many.

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Everywhere you look, the old model of big, slow, and one-size-fits-all, is giving way to fast, agile, and just-the-way-you-want-it. This is wonderful news for the micromanufacturer and micromarketer you’ll become

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Can you turn on your computer and use a mouse? Can you read plain text on the screen? Okay then, you’re good to go.

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