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In numerical analysis, different decompositions are used to implement efficient matrix algorithms. For instance, when solving a system of linear equations A x = b {\displaystyle A\mathbf {x} =\mathbf {b} } , the matrix A can be decomposed via the LU decomposition. The LU decomposition factorizes a matrix into a lower t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the context of network theory a scale-free ideal network is a random network with a degree distribution following the scale-free ideal gas density distribution. These networks are able to reproduce city-size distributions and electoral results by unraveling the size distribution of social groups with information the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs. Within an expression containing two or more ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Due to this superposition, measurement of the qubit will "collapse" it into one of its basis states with a given probability. Because of the entanglement, measurement of one qubit will "collapse" the other qubit to a state whose measurement will yield one of two possible values, where the value depends on which Bell's ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In contrast to the steady incremental improvements of the past few decades, the application of deep learning decreased word error rate by 30%. This innovation was quickly adopted across the field. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In metric graph theory, a convex subgraph of an undirected graph G is a subgraph that includes every shortest path in G between two of its vertices. Thus, it is analogous to the definition of a convex set in geometry, a set that contains the line segment between every pair of its points. Convex subgraphs play an import... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In principle, a 64-bit microprocessor can address 16 EiB (16 × 10246 = 264 = 18,446,744,073,709,551,616 bytes, or about 18.4 exabytes) of memory. However, not all instruction sets, and not all processors implementing those instruction sets, support a full 64-bit virtual or physical address space. The x86-64 architectur... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, pentation (or hyper-5) is the next hyperoperation after tetration and before hexation. It is defined as iterated (repeated) tetration (assuming right-associativity), just as tetration is iterated right-associative exponentiation. It is a binary operation defined with two numbers a and b, where a is tetr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In sociology, command hierarchy is seen as the most visible element of a "power network." In this model, social capital is viewed as being mobilized in response to orders that move through the hierarchy leading to the phrase "command and control". | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Later it was demonstrated that all basic mathematical structures either are some kinds of named sets or are built of named sets. According to Anellis, Burgin & Kaloujnine introduced set-theoretical named sets in 1983 and Burgin introduced named sets in the most general form in 1990. Since then Burgin continued to devel... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Two sets have the same cardinality if, and only if, there is a one-to-one correspondence (bijection) between the elements of the two sets. In the case of finite sets, this agrees with the intuitive notion of number of elements. In the case of infinite sets, the behavior is more complex. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the area of modern algebra known as group theory, the Suzuki groups, denoted by Sz(22n+1), 2B2(22n+1), Suz(22n+1), or G(22n+1), form an infinite family of groups of Lie type found by Suzuki (1960), that are simple for n ≥ 1. These simple groups are the only finite non-abelian ones with orders not divisible by 3. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This eliminates noncredible threats, which are threats that a player would not carry out if they were ever called upon to do so. For example, consider a dynamic game with an incumbent firm and a potential entrant to the industry. The incumbent has a monopoly and wants to maintain its market share. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In nonstandard analysis, a branch of mathematics, overspill (referred to as overflow by Goldblatt (1998, p. 129)) is a widely used proof technique. It is based on the fact that the set of standard natural numbers N is not an internal subset of the internal set *N of hypernatural numbers. By applying the induction princ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In this case, the voting circuit can output the correct result, and discard the erroneous version. After this, the internal state of the erroneous replication is assumed to be different from that of the other two, and the voting circuit can switch to a DMR mode. This model can be applied to any larger number of replica... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In statistics, binary data is a statistical data type consisting of categorical data that can take exactly two possible values, such as "A" and "B", or "heads" and "tails". It is also called dichotomous data, and an older term is quantal data. The two values are often referred to generically as "success" and "failure".... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In network theory, the Wiener connector is a means of maximizing efficiency in connecting specified "query vertices" in a network. Given a connected, undirected graph and a set of query vertices in a graph, the minimum Wiener connector is an induced subgraph that connects the query vertices and minimizes the sum of sho... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Early scrambling or encryption methods required a hard line for authorization of receive sites. Today, a digital cellular telephone is sufficient for most situations. C-Band transportable service remains a prevalent source of long-haul transmission because of its immunity to the "rain fade" that Ku band experiences in ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In principle, there can be more than one such code for a given word length, but the term Gray code was first applied to a particular binary code for non-negative integers, the binary-reflected Gray code, or BRGC. Bell Labs researcher George R. Stibitz described such a code in a 1941 patent application, granted in 1943.... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a surjective function (also known as surjection, or onto function ) is a function f such that every element y can be mapped from some element x such that f(x) = y. In other words, every element of the function's codomain is the image of at least one element of its domain. It is not required that x be un... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
. . , n } → { 0 , 1 } {\displaystyle f:\{0,1,...,n\}\rightarrow \{0,1\}} . Symmetric Boolean functions are used to classify Boolean satisfiability problems. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, in the areas of group theory and combinatorics, Hall words provide a unique monoid factorisation of the free monoid. They are also totally ordered, and thus provide a total order on the monoid. This is analogous to the better-known case of Lyndon words; in fact, the Lyndon words are a special case, and ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
As told by Hardy: I remember once going to see him when he was lying ill at Putney. I had ridden in taxi-cab No. 1729, and remarked that the number seemed to be rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In physical theories, a test particle, or test charge, is an idealized model of an object whose physical properties (usually mass, charge, or size) are assumed to be negligible except for the property being studied, which is considered to be insufficient to alter the behavior of the rest of the system. The concept of a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Kernel adaptive filters implement a nonlinear transfer function using kernel methods. In these methods, the signal is mapped to a high-dimensional linear feature space and a nonlinear function is approximated as a sum over kernels, whose domain is the feature space. If this is done in a reproducing kernel Hilbert space... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
A semigroup without an identity element can be easily turned into a monoid by just adding an identity element. Consequently, monoids are studied in the theory of semigroups rather than in group theory. Semigroups should not be confused with quasigroups, which are a generalization of groups in a different direction; the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, probabilistic metric spaces are a generalization of metric spaces where the distance no longer takes values in the non-negative real numbers R ≥ 0, but in distribution functions.Let D+ be the set of all probability distribution functions F such that F(0) = 0 (F is a nondecreasing, left continuous mappin... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In modern news, social media has become a major source of amateur reporting. The Arab Spring is believed to have been aided by citizen journalism that was reported using and disseminated by Facebook and Twitter. The Top 15 Most Popular Social Media Sites range from 15 million users to 900 million users, and as their us... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In particular, this problem arises when we attempt to build a so-called RASP, a "universal machine" (see more at Universal Turing machine) that uses its finite-state machine to interpret a "program of instructions" located in its registers – i.e. we are building what is nowadays called a computer with the von Neumann a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to achieve a precise and effective typestate analysis, it is necessary to address the problem of aliasing. Aliasing occurs when an object has more than one reference or pointer that points to it. For the analysis to be correct, state changes to a given object must be reflected in all references that point to t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The Coordinating Committee admitted that they "wrestled with articulating a business case for implementing RDA", nevertheless the report recommended that RDA be adopted by the three national libraries, contingent on several improvements being made. The earliest possible date for implementation was given as January 2013... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In supervised learning, a random sub-sample of all records is taken and manually classified as either 'fraudulent' or 'non-fraudulent' (task can be decomposed on more classes to meet algorithm requirements). Relatively rare events such as fraud may need to be over sampled to get a big enough sample size. These manually... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the cellular phone industry, mobile phones and their networks sometimes support concatenated short message service (or concatenated SMS) to overcome the limitation on the number of characters that can be sent in a single SMS text message transmission (which is usually 160). Using this method, long messages are split... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In set theory, functions are identified with their function graphs. Using set builder notation, a collection of pairs may be characterized, f := { ⟨ x , y ⟩ ∣ x ∈ A ∧ ψ ( x , y ) } . {\displaystyle f:={\big \{}\langle x,y\rangle \mid x\in A\land \psi (x,y){\big \}}.} The axiom of replacement in Zermelo–Fraenkel set the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This notation has been retained in operating systems that were directly or indirectly derived from CP/M, including DR-DOS, MS-DOS, OS/2 and Windows. On Linux systems, the command hexcat produces this classic output format too. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the fields of databases and transaction processing (transaction management), a schedule (or history) of a system is an abstract model to describe execution of transactions running in the system. Often it is a list of operations (actions) ordered by time, performed by a set of transactions that are executed together ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order of increasing strength, i.e., decreasing sets of pairs, three of the possible partial orders on the Cartesian product of two partially ordered sets are (see Fig.4): the lexicographical order: (a, b) ≤ (c, d) if a < c or (a = c and b ≤ d); the product order: (a, b) ≤ (c, d) if a ≤ c and b ≤ d; the reflexive clo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, particularly in functional analysis and topology, closed graph is a property of functions. A function f: X → Y between topological spaces has a closed graph if its graph is a closed subset of the product space X × Y. A related property is open graph.This property is studied because there are many theore... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Attack - An attempt by a player to win a point by hitting the ball over the net. Attack line - In indoor volleyball, a line three metres from the net which marks the limit for where a back-row player may advance to hit a ball from above the net. Back-row player - In indoor volleyball, any of three players positioned at... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Army used in for tactical group messaging in its Force Battle Command Brigade and Below (FBCB2) system.Several other approaches to reliable multicast were being developed at approximately the same time, and in April 1999, the IETF chartered the Reliable Multicast Transport Working Group (RMTWG) to standardize reliable ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability and statistics, Student's t-distribution (or simply the t-distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution that generalizes the standard normal distribution. Like the latter, it is symmetric around zero and bell-shaped. However, t ν {\displaystyle t_{\nu }} has heavier ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, the Fermat quotient of an integer a with respect to an odd prime p is defined as q p ( a ) = a p − 1 − 1 p , {\displaystyle q_{p}(a)={\frac {a^{p-1}-1}{p}},} or δ p ( a ) = a − a p p {\displaystyle \delta _{p}(a)={\frac {a-a^{p}}{p}}} .This article is about the former; for the latter see p-derivation.... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The challenge is to reduce the number of colors from n to, e.g., Δ + 1. The more colors are employed, e.g. O(Δ) instead of Δ + 1, the fewer communication rounds are required.A straightforward distributed version of the greedy algorithm for (Δ + 1)-coloring requires Θ(n) communication rounds in the worst case − informat... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 1993 film Jurassic Park, Connection Machines (non-functioning dummies) are visible in the park's control room, programmer Dennis Nedry mentions "eight Connection Machines" and a video about dinosaur cloning mentions "Thinking Machines supercomputers". In the 1996 film Mission Impossible, Luther Stickell asks Fra... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers R {\displaystyle \mathbb {R} } , sometimes called the continuum. It is an infinite cardinal number and is denoted by c {\displaystyle {\mathfrak {c}}} (lowercase Fraktur "c") or | R | {\displaystyle |\mathbb {R} |} .... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a Gödel numbering for sequences provides an effective way to represent each finite sequence of natural numbers as a single natural number. While a set theoretical embedding is surely possible, the emphasis is on the effectiveness of the functions manipulating such representations of sequences: the opera... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical finite group theory, the uniqueness case is one of the three possibilities for groups of characteristic 2 type given by the trichotomy theorem. The uniqueness case covers groups G of characteristic 2 type with e(G) ≥ 3 that have an almost strongly p-embedded maximal 2-local subgroup for all primes p who... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
However, since only Alice knows b {\displaystyle b} , it makes it virtually impossible for either Bob or Eve to distinguish the states of the qubits. Also, after Bob has received the qubits, we know that Eve cannot be in possession of a copy of the qubits sent to Bob, by the no-cloning theorem, unless she has made meas... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In regards to issues with connectivity, it is important to consider the musical score of composite films. Much like visual repetition or thematic similarities, the score offers another medium through which stories can be linked. Rather than leaving viewers with content to process, decode, intellectualize and then react... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In other words, a "sum" s 1 {\displaystyle s_{1}} with only one term evaluates to that one term, while a "sum" s 0 {\displaystyle s_{0}} with no terms evaluates to 0. Allowing a "sum" with only 1 or 0 terms reduces the number of cases to be considered in many mathematical formulas. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a weighing matrix of order n {\displaystyle n} and weight w {\displaystyle w} is a matrix W {\displaystyle W} with entries from the set { 0 , 1 , − 1 } {\displaystyle \{0,1,-1\}} such that: W W T = w I n {\displaystyle WW^{\mathsf {T}}=wI_{n}} Where W T {\displaystyle W^{\mathsf {T}}} is the transpose o... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For example, a model might be selected by maximizing its performance on some set of training data, and yet its suitability might be determined by its ability to perform well on unseen data; then over-fitting occurs when a model begins to "memorize" training data rather than "learning" to generalize from a trend. As an ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, Carmichael's theorem, named after the American mathematician R. D. Carmichael, states that, for any nondegenerate Lucas sequence of the first kind Un(P, Q) with relatively prime parameters P, Q and positive discriminant, an element Un with n ≠ 1, 2, 6 has at least one prime divisor that does not divid... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the context of primitive recursive functions, it is convenient to have a means to represent finite sequences of natural numbers as single natural numbers. One such method, Gödel's encoding, represents a sequence of positive integers ⟨ n 0 , n 1 , n 2 , … , n k ⟩ {\displaystyle \langle n_{0},n_{1},n_{2},\ldots ,n_{k}... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the following example, statement b explicitly negates statement a: Statements can also be mutually exclusive, without explicitly negating each other as in the following example: | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the classic problem the fuel in the jeep and at fuel dumps is treated as a continuous quantity. More complex variations on the problem have been proposed in which the fuel can only be left or collected in discrete amounts.In the camel and bananas problem, the merchant has n units of bananas. The camel can carry at m... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Another square-difference-free set is obtained by doubling the Moser–de Bruijn sequence. The best known upper bound on the size of a square-difference-free set of numbers up to n {\displaystyle n} is only slightly sublinear, but the largest known sets of this form are significantly smaller, of size ≈ n 0.733412 {\displ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In signal processing, pre-emphasis is a technique to protect against anticipated noise. The idea is to boost (and hence distort) the frequency range that is most susceptible to noise beforehand, so that after a noisy process (transmission over cable, tape recording...) more information can be recovered from that freque... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In protected mode, the segment_part is replaced by a 16-bit selector, in which the 13 upper bits (bit 3 to bit 15) contain the index of an entry inside a descriptor table. The next bit (bit 2) specifies whether the operation is used with the GDT or the LDT. The lowest two bits (bit 1 and bit 0) of the selector are comb... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{\displaystyle x|(y\mid (x\mid z))=((z\mid y)\mid y)\mid x.} In 1973, Padmanabhan and Quackenbush demonstrated a method that, in principle, would yield a 1-basis for Boolean algebra. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, the rational sieve is a general algorithm for factoring integers into prime factors. It is a special case of the general number field sieve. While it is less efficient than the general algorithm, it is conceptually simpler. It serves as a helpful first step in understanding how the general number field ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, numerical analysis, and numerical partial differential equations, domain decomposition methods solve a boundary value problem by splitting it into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. A coarse problem with one or few unknowns... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In neural networks, each neuron receives input from some number of locations in the previous layer. In a convolutional layer, each neuron receives input from only a restricted area of the previous layer called the neuron's receptive field. Typically the area is a square (e.g. 5 by 5 neurons). Whereas, in a fully connec... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
According to Kunegis, Blattner, and Moser several online networks follow a non-linear preferential attachment model. Communication networks and online contact networks are sub-linear while interaction networks are super-linear. The co-author network among scientists also shows the signs of sub-linear preferential attac... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In social systems, deterministic chaos is infrequent, because the elements of the system include individuals whose values, awareness, will, foresight, and fallibility, affect the dynamic behavior of the system. However, this does not completely exclude any notional possibility of deterministic chaos in social systems. ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The classification efficiency is usually indicated by Receiver operating characteristics. In the original SIMCA method, the ends of the hyper-plane of each class are closed off by setting statistical control limits along the retained principal components axes (i.e., score value between plus and minus 0.5 times score st... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This is not to say that all software data ought to be manipulated as graphs, but rather that they can be exchanged as graphs. It can be used to represent instance data as well as schemas for describing the structure of the data. Moreover, the schema can be explicitly stated along with instance data. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the Hindley–Milner type system, expressions can be given multiple types through parametric polymorphism. But naively giving multiple types to references breaks type safety. The following are typing rules for references and related operators in ML-like languages. r e f: ∀ α . | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In markup languages and the digital humanities, overlap occurs when a document has two or more structures that interact in a non-hierarchical manner. A document with overlapping markup cannot be represented as a tree. This is also known as concurrent markup. Overlap happens, for instance, in poetry, where there may be ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, a kth root of unity modulo n for positive integers k, n ≥ 2, is a root of unity in the ring of integers modulo n; that is, a solution x to the equation (or congruence) x k ≡ 1 ( mod n ) {\displaystyle x^{k}\equiv 1{\pmod {n}}} . If k is the smallest such exponent for x, then x is called a primitive kt... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem, which states that every odd prime p divides 2p − 1 − 1. Wieferich primes were first described by Arthur Wieferich in 1909 in works pertaining to Fermat's Last Theorem,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Very often, and in this article, the coefficients of the equations are real or complex numbers and the solutions are searched in the same set of numbers, but the theory and the algorithms apply for coefficients and solutions in any field. For solutions in an integral domain like the ring of the integers, or in other al... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In simple terms, software verification is: "Assuming we should build X, does our software achieve its goals without any bugs or gaps?" On the other hand, software validation is: "Was X what we should have built? Does X meet the high-level requirements?" | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
A bijective proof. Two sets are shown to have the same number of members by exhibiting a bijection, i.e. a one-to-one correspondence, between them.The term "combinatorial proof" may also be used more broadly to refer to any kind of elementary proof in combinatorics. However, as Glass (2003) writes in his review of Benj... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Supercritical p > ( 1 + ε ) / n {\displaystyle p>(1+\varepsilon )/n} There is a single giant component containing a linear number of vertices. For large values of p {\displaystyle p} its size approaches the whole graph: | C 1 | ≈ y n {\displaystyle |C_{1}|\approx yn} where y {\displaystyle y} is the positive solution t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For example, if x 5 {\displaystyle x_{5}} is non-basic and its coefficient in r {\displaystyle r} is positive, then increasing it above 0 may make z {\displaystyle z} larger. If it is possible to do so without violating other constraints, then the increased variable becomes basic (it "enters the basis"), while some bas... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The concept is not unlike the limited licensing approach for computer software, which places rigid restrictions on resale and reproduction. The intent is to make users understand that the content of any textbook is the intellectual property of the author and/or the publisher, and that as such, subject to copyright. Obv... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{\displaystyle M^{\text{T}}\Omega M=\Omega .} Under a change of basis, represented by a matrix A, we have Ω ↦ A T Ω A {\displaystyle \Omega \mapsto A^{\text{T}}\Omega A} M ↦ A − 1 M A . {\displaystyle M\mapsto A^{-1}MA.} One can always bring Ω {\displaystyle \Omega } to either the standard form given in the introductio... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In personality pathology, dimensional models of personality disorders (also known as the dimensional approach to personality disorders, dimensional classification, and dimensional assessments) conceptualize personality disorders as quantitatively rather than qualitatively different from normal personality. They consist... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a map or mapping is a function in its general sense. These terms may have originated as from the process of making a geographical map: mapping the Earth surface to a sheet of paper.The term map may be used to distinguish some special types of functions, such as homomorphisms. For example, a linear map i... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, Euclid numbers are integers of the form En = pn # + 1, where pn # is the nth primorial, i.e. the product of the first n prime numbers. They are named after the ancient Greek mathematician Euclid, in connection with Euclid's theorem that there are infinitely many prime numbers. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the Japanese encodings ISO 646-JP (a 7-bit code based on ASCII), JIS X 0201 (an 8-bit code), and Shift JIS (a multi-byte encoding which is 8-bit for ASCII), the code point 0x5C that would be used for backslash in ASCII is instead rendered as a yen sign ¥. Due to extensive use of the 005C code point to represent the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In most computer programming languages a do while loop is a control flow statement that executes a block of code and then either repeats the block or exits the loop depending on a given boolean condition. The do while construct consists of a process symbol and a condition. First the code within the block is executed. T... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 1980s, the Graphical Kernel System (GKS) library, based on a 1970s specification with a similar basic geometry and command structure to NAPLPS, was widely implemented on microcomputers, and became the basis of Digital Research's GSX graphics system used in their GEM GUI. GKS was later extended into a 3D version,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
As a result, it is often considered to be a more intuitive, but a less systematic approach to divisions – where the efficiency is highly dependent upon one's numeracy skills. To calculate the whole number quotient of dividing a large number by a small number, the student repeatedly takes away "chunks" of the large numb... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
And symmetrically (when Xk is a sub-martingale): P ( X N − X 0 ≤ − ϵ ) ≤ exp ( − ϵ 2 2 ∑ k = 1 N c k 2 ) . {\displaystyle {\text{P}}(X_{N}-X_{0}\leq -\epsilon )\leq \exp \left({-\epsilon ^{2} \over 2\sum _{k=1}^{N}c_{k}^{2}}\right).} If X is a martingale, using both inequalities above and applying the union bound all... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
As in discrete percolation, a common research focus of continuum percolation is studying the conditions of occurrence for infinite or giant components. Other shared concepts and analysis techniques exist in these two types of percolation theory as well as the study of random graphs and random geometric graphs. Continuu... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, Light's associativity test is a procedure invented by F. W. Light for testing whether a binary operation defined in a finite set by a Cayley multiplication table is associative. The naive procedure for verification of the associativity of a binary operation specified by a Cayley table, which compares th... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For example, the proton spin puzzle, the EMC effect, the distributions of electric charges inside the nucleons, as found by Hofstadter in 1956, and the ad hoc CKM matrix elements. When the term "preon" was coined, it was primarily to explain the two families of spin-1/2 fermions: quarks and leptons. More recent preon m... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 20th century, following the development of formal logic, the ampersand became a commonly used logical notation for the binary operator or sentential connective AND. This usage was adopted in computing. Many languages with syntax derived from C, including C++, Perl, and more differentiate between: & for bitwise A... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the US, the CDC recommends essential components of AMS programs (ASP) for acute care hospitals, small and critical access hospitals, resource-limited facilities, long-term care facilities, and outpatient facilities.As of 2014, thirteen internet-based institutional ASP resources in US academic medical centers had bee... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
An arrow from the node representing a candidate X to the one representing a candidate Y is labelled with d. To avoid cluttering the diagram, an arrow has only been drawn from X to Y when d > d (i.e. the table cells with light green background), omitting the one in the opposite direction (the table cells with light red ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical logic, a formal theory is a set of sentences expressed in a formal language. A formal system (also called a logical calculus, or a logical system) consists of a formal language together with a deductive apparatus (also called a deductive system). The deductive apparatus may consist of a set of transform... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
These directories contain files with names such as "ABCD1234.JPG" that consist of four alphanumeric characters (often "100_", "DSC0", "DSCF", "IMG_", "MOV_", or "P000"), followed by a number. Handling of directories with possibly user-created duplicate numbers may vary among camera firmwares. DCF 2.0 adds support for D... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In structure mining, a graph kernel is a kernel function that computes an inner product on graphs. Graph kernels can be intuitively understood as functions measuring the similarity of pairs of graphs. They allow kernelized learning algorithms such as support vector machines to work directly on graphs, without having to... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In statistical analysis of binary classification, the F-score or F-measure is a measure of a test's accuracy. It is calculated from the precision and recall of the test, where the precision is the number of true positive results divided by the number of all positive results, including those not identified correctly, an... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to measure the information of a string relative to another there is the need to rely on relative semi-distances (NRC). These are measures that do not need to respect symmetry and triangle inequality distance properties. Although the NCD and the NRC seem very similar, they address different questions. The NCD m... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
According to the Curry–Howard isomorphism, lambda calculus on its own can express theorems in intuitionistic logic only, and several classical logical theorems can't be written at all. However with these new operators one is able to write terms that have the type of, for example, Peirce's law. Semantically these operat... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a binary relation associates elements of one set, called the domain, with elements of another set, called the codomain. A binary relation over sets X and Y is a new set of ordered pairs (x, y) consisting of elements x in X and y in Y. It is a generalization of the more widely understood idea of a unary ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Unlike Schoof's algorithm, the SEA algorithm is typically implemented as a probabilistic algorithm (of the Las Vegas type), so that root-finding and other operations can be performed more efficiently. Its computational complexity is dominated by the cost of computing the modular polynomials Ψ ℓ ( X , Y ) {\displaystyle... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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