Edited, memorised or added to reading queue

on 25-Feb-2018 (Sun)

Do you want BuboFlash to help you learning these things? Click here to log in or create user.

Article 1431917694220

The 9 types of inteligence
#has-images #types-of-inteligence

Intelligence is broken down into nine different types, also called the nine domains of intelligence.This categorization of intelligence was first theorized by developmental psychologist Howard Gardner in his 1983 book, Frames of Mind: The Theory of Multiple Intelligences. Since then, the Multiple Intelligences theory been used as one of the primary models for research that has gone on concerning human cognition. Gardner argues that there is no one true way to measure intelligence and that the human brain is wired with a wide range of cognitive abilities. Framing intelligence in the way Gardner does disrupts the old mold of thinking in which intelligence was ultimately a measure of (what Gardner would call) logical-mathematical intelligence. The premise of Gardner’s theory is that someone can be extremely bad at math yet be the best of the best in another field, such as music. Thus limiting the definition of intelligence is detrimental to our understanding of how the human brain works. So without further ado,



Flashcard 1705149336844

Question
Abu al-Hasan Ali ibn Abbas ibn Jurayj (Arabic: أبو الحسن علي بن العباس بن جريج ‎‎), also known as [...] (born Baghdad in 836; died 896), was the son of a Persian mother. By the age of twenty he earned a living from his poetry, which would culminate in his masterpiece Diwan. (Do NOT confuse with the 13C Persian poet)
Answer
Ibn al-Rumi

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
Abu al-Hasan Ali ibn Abbas ibn Jurayj (Arabic: أبو الحسن علي بن العباس بن جريج ‎‎), also known as Ibn al-Rumi (born Baghdad in 836; died 896), was the son of a Persian mother. By the age of twenty he earned a living from his poetry, which would culminate in his masterpiece Diwan. (Do NOT confus

Original toplevel document

Ibn al-Rumi - Wikipedia
rn 21 June 836 [1] Baghdad, Abbasid Caliphate (now in Iraq) Died 13 July 896 (aged 60) [2] Baghdad, Abbasid Caliphate, now Iraq Era Medieval era (Islamic Golden Age) Region Iraq, Arab world, Muslim world Main interests Arabic poetry <span>Abu al-Hasan Ali ibn Abbas ibn Jurayj (Arabic: أبو الحسن علي بن العباس بن جريج‎‎), also known as Ibn al-Rumi (born Baghdad in 836; died 896), was the son of a Persian mother. By the age of twenty he earned a living from his poetry, which would culminate in his masterpiece Diwan. His many political patrons included the Tahirid ruler Ubaydallah ibn Abdallah ibn Tahir, Abbasid Caliph Al-Mu'tamid's minister the Persian Isma'il ibn Bulbul, and the politically influe







Flashcard 1729359645964

Tags
#Borges
Question
Lo que yo encuentro sobre todo malo en los deportes es la idea de que alguien [...] y de que alguien [...] , y de que este hecho suscite [...] .
Answer
gane, pierda, rivalidades

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill
Borges, Jorge Luis sur Twitter : &quot;Lo que yo encuentro sobre todo malo en los deportes es la idea de que alguien gane y de que alguien pierda, y de que este hecho suscite riva… https://t.co/3bP06RPSjB&quot;
Unblock @BorgesJorgeL Report Tweet Add to other Moment Add to new Moment <span>Lo que yo encuentro sobre todo malo en los deportes es la idea de que alguien gane y de que alguien pierda, y de que este hecho suscite rivalidades. Translate from Spanish Translated from Spanish by Bing What I find especially bad at sports is the idea that someone wins an







Flashcard 1729425444108

Question
Bayesian optimization poses the question of finding function optima as a problem in [...]
Answer
sequential decision theory

For this reason it has great potential in reinforcement learning.

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

pdf

cannot see any pdfs







Flashcard 1735998704908

Tags
#stochastics
Question
simple random walk is based on a [...process...]
Answer
Bernoulli process

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
A classic example of a random walk is known as the simple random walk, which is a stochastic process in discrete time with the integers as the state space, and is based on a Bernoulli process, where each iid Bernoulli variable takes either the value positive one or negative one.

Original toplevel document

Stochastic process - Wikipedia
ere are other various types of random walks, defined so their state spaces can be other mathematical objects, such as lattices and groups, and in general they are highly studied and have many applications in different disciplines. [69] [71] <span>A classic example of a random walk is known as the simple random walk, which is a stochastic process in discrete time with the integers as the state space, and is based on a Bernoulli process, where each iid Bernoulli variable takes either the value positive one or negative one. In other words, the simple random walk takes place on the integers, and its value increases by one with probability, say, p {\displaystyle p}







Flashcard 1737346649356

Tags
#numpy
Question
Fancy indexing passes [...] to access multiple array elements at once.
Answer
an array of indices

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
Fancy indexing is conceptually simple: it means passing an array of indices to access multiple array elements at once.

Original toplevel document

Fancy Indexing | Python Data Science Handbook
is like the simple indexing we've already seen, but we pass arrays of indices in place of single scalars. This allows us to very quickly access and modify complicated subsets of an array's values. Exploring Fancy Indexing¶ <span>Fancy indexing is conceptually simple: it means passing an array of indices to access multiple array elements at once. For example, consider the following array: In [1]: import numpy as np rand = np.random.RandomState(42) x = rand.randint(100, size=10) print(x)







Flashcard 1737361067276

Question
functional programming is a style of building [...] of computer programs
Answer
the structure and elements

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
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

Original toplevel document

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 1737949580556

Question
hidden Markov model has [...] latent variables.
Answer
discrete

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
Here we focus on the two most important examples of state space models, namely the hid- den Markov model, in which the latent variables are discrete, and linear dynamical systems, in which the latent variables are Gaussian. Both models are described by di- rected graphs having a tree structure (no loops) for which inference can be p

Original toplevel document (pdf)

cannot see any pdfs







Flashcard 1738476752140

Tags
#spanish
Question
Las fuentes le han dicho a ESPN FC que Arsenal [...] inicialmente en 49.5 millones de dólares por Sánchez
Answer
cotizaba

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
Las fuentes le han dicho a ESPN FC que Arsenal cotizaba inicialmente en 49.5 millones de dólares (£ 35 millones) por Sánchez en el período de transferencias de enero, a pesar de que el delantero tiene solo seis meses restantes en su contrato

Original toplevel document

Mourinho: Alexis no llegó al Manchester United por dinero
Te gustan las de arriba. "Esas son muy agradables, tan naranjas, tan redondas, tan llenas de jugo, pero no puedes llegar allí, así que dices: 'No quiero ir allí' o 'No me gustaron, prefiero las otras'. ' Me recuerda esa historia ". <span>Las fuentes le han dicho a ESPN FC que Arsenal cotizaba inicialmente en 49.5 millones de dólares (£ 35 millones) por Sánchez en el período de transferencias de enero, a pesar de que el delantero tiene solo seis meses restantes en su contrato. Al final, United no pagó una tarifa después de aceptar y permitir que Mkhitaryan se mude al Emirates. Sánchez ha firmado un contrato de cuatro años y medio en Old Trafford por valor de







Flashcard 1738564832524

Tags
#measure-theory #stochastics
Question
This Cantor distribution attributes [...probability...] to each of the intervals removed
Answer
probability zero

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
This distribution attributes probability zero to each of the intervals removed, and the lengths of these intervals add up to one. So all of the probability is concentrated on the Cantor set C ∞ , which is what the measure-theoretic

Original toplevel document (pdf)

cannot see any pdfs







Flashcard 1738867084556

Tags
#metric-space
Question
Let (X, d) be a non-empty complete metric space with a contraction mapping T : XX. Then T admits [...]
Answer
a unique fixed-point x* in X

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
Banach Fixed Point Theorem. Let (X, d) be a non-empty complete metric space with a contraction mapping T : X → X. Then T admits a unique fixed-point x* in X (i.e. T(x*) = x*). Furthermore, x* can be found as follows: start with an arbitrary element x 0 in X and define a sequence {x n } by x n = T(x n−1 ), then x n → x* . <

Original toplevel document

Banach fixed-point theorem - Wikipedia
x ) , T ( y ) ) ≤ q d ( x , y ) {\displaystyle d(T(x),T(y))\leq qd(x,y)} for all x, y in X. <span>Banach Fixed Point Theorem. Let (X, d) be a non-empty complete metric space with a contraction mapping T : X → X. Then T admits a unique fixed-point x* in X (i.e. T(x*) = x*). Furthermore, x* can be found as follows: start with an arbitrary element x 0 in X and define a sequence {x n } by x n = T(x n−1 ), then x n → x*. Remark 1. The following inequalities are equivalent and describe the speed of convergence: d







Flashcard 1739068411148

Tags
#d-separation
Question
The idea of d-separation is complicated by defining exactly what is a [...], given that the edges are directed and some variables are already measured.
Answer
connecting path

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
nce" with "connectedness" (i.e., the existence of a connecting path) and "independence" with "unconnected-ness" or "separation". The only twist on this simple idea is to define what we mean by <span>"connecting path", given that we are dealing with a system of directed arrows in which some vertices (those residing in Z) correspond to measured variables, whose values are known precisely. To account f

Original toplevel document

Unknown title
d-SEPARATION WITHOUT TEARS (At the request of many readers) Introduction d-separation is a criterion for deciding, from a given a causal graph, whether a set X of variables is independent of another set Y, given a third set Z. <span>The idea is to associate "dependence" with "connectedness" (i.e., the existence of a connecting path) and "independence" with "unconnected-ness" or "separation". The only twist on this simple idea is to define what we mean by "connecting path", given that we are dealing with a system of directed arrows in which some vertices (those residing in Z) correspond to measured variables, whose values are known precisely. To account for the orientations of the arrows we use the terms "d-separated" and "d-connected" (d connotes "directional"). We start by considering separation between two singleton variables, x and y; the extension to sets of variables is straightforward (i.e., two sets are separated if and only if each el







Flashcard 1739187686668

Tags
#linear-algebra
Question
a bilinear form on a vector space V is a bilinear map V × VK , where K is [...]
Answer
the field of scalars.

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map V × V → K , where K is the field of scalars.

Original toplevel document

Bilinear form - Wikipedia
Bilinear form - Wikipedia Bilinear form From Wikipedia, the free encyclopedia Jump to: navigation, search In mathematics, more specifically in abstract algebra and linear algebra, a bilinear form on a vector space V is a bilinear map V × V → K, where K is the field of scalars. In other words, a bilinear form is a function B : V × V → K that is linear in each argument separately: B(u + v, w) = B(u, w) + B(v, w) and B(λu, v) = λB(u, v) B(u, v + w) = B(u, v) + B(u, w) and B(u, λv) = λB(u, v) The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms. When K is the field of complex numbers C, one







Flashcard 1753278713100

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

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
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 1753296276748

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

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
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 1757993372940

Question

In operator theory, multiplication operator is an operator Tf defined on [...spaces...]

Answer
some function space

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
In operator theory, a multiplication operator is an operator T f defined on some vector space of functions and whose value at a function φ is given by multiplication by a fixed function f . That is, for all φ in the domain of T f , and all x in the domain of φ (which is the sam

Original toplevel document

Multiplication operator - Wikipedia
This article does not cite any sources. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (December 2009) (Learn how and when to remove this template message) <span>In operator theory, a multiplication operator is an operator T f defined on some vector space of functions and whose value at a function φ is given by multiplication by a fixed function f. That is, T f φ ( x ) = f ( x ) φ ( x ) {\displaystyle T_{f}\varphi (x)=f(x)\varphi (x)\quad } for all φ in the domain of T f , and all x in the domain of φ (which is the same as the domain of f). This type of operators is often contrasted with composition operators. Multiplication operators generalize the notion of operator given by a diagonal matrix. More precisely, one of th







Flashcard 1758278847756

Tags
#calculus-of-variations
Question
the necessary condition of functional extremum is [...description...]
Answer
functional derivative equals zero.

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
the necessary condition of extremum is functional derivative equal zero. the weak formulation of the necessary condition of extremum is an integral with an arbitrary function δf .

Original toplevel document

Fundamental lemma of calculus of variations - Wikipedia
pedia Jump to: navigation, search In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not a single point. <span>Accordingly, the necessary condition of extremum (functional derivative equal zero) appears in a weak formulation (variational form) integrated with an arbitrary function δf. The fundamental lemma of the calculus of variations is typically used to transform this weak formulation into the strong formulation (differential equation), free of the integration with arbitrary function. The proof usually exploits the possibility to choose δf concentrated on an interval on which f keeps sign (positive or negative). Several versions of the lemma are in use. Basic version







short open tag
statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

pdf

cannot see any pdfs




Flashcard 1759678434572

Tags
#spectral-analysis
Question

In mathematics, [...] defined on some function space is any non-zero function f in that space that satisfies for some scalar eigenvalue λ.

Answer
an eigenfunction of a linear operator D

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that for some scalar eigenvalue λ.

Original toplevel document

Eigenfunction - Wikipedia
ected from Eigenfunction expansion) Jump to: navigation, search [imagelink] This solution of the vibrating drum problem is, at any point in time, an eigenfunction of the Laplace operator on a disk. <span>In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue. As an equation, this condition can be written as D f = λ f {\displaystyle Df=\lambda f} for some scalar eigenvalue λ. [1] [2] [3] The solutions to this equation may also be subject to boundary conditions that limit the allowable eigenvalues and eigenfunctions. An eigenfunction is a type of eigenvect







Flashcard 1759717494028

Tags
#hilbert-space
Question
The effect of Linear operators on a Hilbert space can be understood by the study of [...].
Answer
their spectrum.

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
Linear operators on a Hilbert space are likewise fairly concrete objects: in good cases, they are simply transformations that stretch the space by different factors in mutually perpendicular directions in a sense that is made precise by the study of their spectrum.

Original toplevel document

Hilbert space - Wikipedia
is countably infinite, this means that the Hilbert space can also usefully be thought of in terms of the space of infinite sequences that are square-summable. The latter space is often in the older literature referred to as the Hilbert space. <span>Linear operators on a Hilbert space are likewise fairly concrete objects: in good cases, they are simply transformations that stretch the space by different factors in mutually perpendicular directions in a sense that is made precise by the study of their spectrum. Contents [hide] 1 Definition and illustration 1.1 Motivating example: Euclidean space 1.2 Definition 1.3 Second example: sequence spaces 2 History 3 Examples 3.1 Lebesgu







Flashcard 1760022629644

Tags
#fourier-analysis
Question

The functions f and g are orthogonal when [...inner product...]

Answer

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
When a function space has an interval as the domain, the integral of the product of functions as the bilinear form The functions f and g are orthogonal when this integral is zero

Original toplevel document

Orthogonal functions - Wikipedia
Orthogonal functions - Wikipedia Orthogonal functions From Wikipedia, the free encyclopedia Jump to: navigation, search In mathematics, orthogonal functions belong to a function space which is a vector space (usually over R) that has a bilinear form. When the function space has an interval as the domain, the bilinear form may be the integral of the product of functions over the interval: ⟨ f , g ⟩ = ∫ f ( x ) ¯ g ( x ) d x . {\displaystyle \langle f,g\rangle =\int {\overline {f(x)}}g(x)\,dx.} The functions f and g are orthogonal when this integral is zero: ⟨ f , g ⟩ = 0. {\displaystyle \langle f,\ g\rangle =0.} As with a basis of vectors in a finite-dimensional space, orthogonal functions can form an infinite basis for a function space. Suppose {f n }, n = 0, 1, 2, … is a sequence of ort







Energy-rich molecules, such as glucose, are metabolized by a series of oxidation reactions ultimately yielding CO2 and water (Figure 6.6). The metabolic intermediates of these reactions donate electrons to specific coenzymes—nicotinamide adenine dinucleotide (NAD + ) and flavin adenine dinucleotide (FAD)—to form the energy-rich reduced coen- zymes, NADH and FADH 2 . These reduced coenzymes can, in turn, each donate a pair of electrons to a specialized set of electron carriers, collectively called the electron transport chain, described in this section. As electrons are passed down the electron transport chain, they lose much of their free energy. Part of this energy can be captured and stored by the production of ATP from ADP and inorganic phosphate (Pi). This process is called oxidative phosphorylation and is described on p. 77. The remainder of the free energy not trapped as ATP is used to drive ancillary reactions such as Ca 2+ transport into mitochondria, and to generate heat
statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

pdf

cannot see any pdfs




Cytochromes: The remaining members of the electron transport chain are cytochromes. Each contains a heme group (a porphyrin ring plus iron). Unlike the heme groups of hemoglobin, the cytochrome iron is reversibly converted from its ferric (Fe 3+ ) to its ferrous (Fe 2+ ) form as a normal part of its function as a reversible carrier of electrons. Electrons are passed along the chain from CoQ to cytochromes
statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

pdf

cannot see any pdfs




Flashcard 1764896148748

Tags
#fourier-analysis
Question

the inner product of functions can be represented as an integral as [...]

Answer

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
When a function space has an interval as the domain, the integral of the product of functions as the bilinear form The functions f and g are orthogonal when this integral is zero

Original toplevel document

Orthogonal functions - Wikipedia
Orthogonal functions - Wikipedia Orthogonal functions From Wikipedia, the free encyclopedia Jump to: navigation, search In mathematics, orthogonal functions belong to a function space which is a vector space (usually over R) that has a bilinear form. When the function space has an interval as the domain, the bilinear form may be the integral of the product of functions over the interval: ⟨ f , g ⟩ = ∫ f ( x ) ¯ g ( x ) d x . {\displaystyle \langle f,g\rangle =\int {\overline {f(x)}}g(x)\,dx.} The functions f and g are orthogonal when this integral is zero: ⟨ f , g ⟩ = 0. {\displaystyle \langle f,\ g\rangle =0.} As with a basis of vectors in a finite-dimensional space, orthogonal functions can form an infinite basis for a function space. Suppose {f n }, n = 0, 1, 2, … is a sequence of ort







#elliptic-geometry
In elliptic geometry, two lines perpendicular to a given line must intersect.
statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

Elliptic geometry - Wikipedia
son with Euclidean geometry 3 Elliptic space 4 Higher-dimensional spaces 4.1 Hyperspherical model 4.2 Projective elliptic geometry 4.3 Stereographic model 5 Self-consistency 6 See also 7 Notes 8 References Definitions[edit source] <span>In elliptic geometry, two lines perpendicular to a given line must intersect. In fact, the perpendiculars on one side all intersect at the absolute pole of the given line. The perpendiculars on the other side also intersect at a point, which is different from the




Flashcard 1764908731660

Tags
#elliptic-geometry
Question
In elliptic geometry, two lines [...] must intersect.
Answer
perpendicular to a given line

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

Parent (intermediate) annotation

Open it
In elliptic geometry, two lines perpendicular to a given line must intersect.

Original toplevel document

Elliptic geometry - Wikipedia
son with Euclidean geometry 3 Elliptic space 4 Higher-dimensional spaces 4.1 Hyperspherical model 4.2 Projective elliptic geometry 4.3 Stereographic model 5 Self-consistency 6 See also 7 Notes 8 References Definitions[edit source] <span>In elliptic geometry, two lines perpendicular to a given line must intersect. In fact, the perpendiculars on one side all intersect at the absolute pole of the given line. The perpendiculars on the other side also intersect at a point, which is different from the







The energy change of the system is defined as the difference between the heat (q) absorbed by the system from the surroundings and work (w) done by the system on the surroundings.
statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

pdf

cannot see any pdfs




Classical thermodynamics applies pri- marily to reversible processes in isolated systems (which cannot exchange mat- ter or energy with their surroundings) or in closed systems (which can only exchange energy). An isolated system inevitably reaches equilibrium. For exam- ple, if its reactants are in excess, the forward reaction will proceed faster than the reverse reaction until equilibrium is attained (∆G = 0), at which point the forward and reverse reactions exactly balance each other. In contrast, open sys- tems, which exchange both matter and energy with their surroundings, can reach equilibrium only after the flow of matter and energy has stopped. Living organisms, which take up nutrients, release waste products, and gener- ate work and heat, are open systems and therefore can never be at equilibrium. They continuously ingest high-enthalpy, low-entropy nutrients, which they convert to low-enthalpy, high-entropy waste products. The free energy released in this process powers the cellular activities that produce the high degree of organiza- tion characteristic of life. If this process is interrupted, the system ultimately reaches equilibrium, which for living things is synonymous with death.
statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

pdf

cannot see any pdfs




A spon- taneous process occurs without the input of additional energy from outside the system.
statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

pdf

cannot see any pdfs




Flashcard 1764956704012

Question
Type een short tag
Answer
[default - edit me]
<% %>

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

pdf

cannot see any pdfs







Flashcard 1764959325452

Question
for
Answer
[default - edit me]

statusnot learnedmeasured difficulty37% [default]last interval [days]               
repetition number in this series0memorised on               scheduled repetition               
scheduled repetition interval               last repetition or drill

pdf

cannot see any pdfs