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#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,

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Ibn al-Rumi

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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

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

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#Borges

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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 **[...]** .

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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

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Bayesian optimization poses the question of finding function optima as a problem in **[...]**

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sequential decision theory

*For this reason it has great potential in reinforcement learning.*

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#stochastics

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Bernoulli process

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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.

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}

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#numpy

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Fancy indexing passes [...] to access multiple array elements at once.

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an array of indices

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

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)

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the structure and elements

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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

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

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hidden Markov model has [...] latent variables.

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discrete

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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

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#spanish

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Las fuentes le han dicho a ESPN FC que Arsenal [...] inicialmente en 49.5 millones de dólares por Sánchez

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cotizaba

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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

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

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#measure-theory #stochastics

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This Cantor distribution attributes [...probability...] to each of the intervals removed

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probability zero

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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

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#metric-space

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Let (*X*, *d*) be a non-empty complete metric space with a contraction mapping *T* : *X* → *X*. Then *T* admits *[...]*

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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* . <

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

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#d-separation

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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.

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connecting path

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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

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

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#linear-algebra

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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.

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

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#incremental-reading

Question

With incremental reading, the majority of time should still be spent on reading at [...].

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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.

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

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#fourier-analysis

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The reverse of Fourier analysis is known as **[...]**.

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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.

, 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

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In operator theory, **multiplication operator** is an operator *T*_{f} defined on [...spaces...]

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some function space

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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

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

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#calculus-of-variations

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the necessary condition of functional extremum is **[...description...]**

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functional derivative equals zero.

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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 .

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

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#spectral-analysis

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

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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.

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

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#hilbert-space

Question

The effect of Linear operators on a Hilbert space can be understood by the study of **[...]**.

Answer

their spectrum.

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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.

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

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#fourier-analysis

Question

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

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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

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

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#fourier-analysis

Question

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

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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

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.

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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

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#elliptic-geometry

Question

In elliptic geometry, two lines **[...]** must intersect.

Answer

perpendicular to a given line

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

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

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A spon- taneous process occurs without the input of additional energy from outside the system.

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Question

Type een short tag

Answer

[default - edit me]

<% %>

<% %>

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for

Answer

[default - edit me]

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