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events are also represented as terms. the effects of events are given using the predicates initiates and terminates. in particular, i n i t i a t e s ( e, f, t ) { \ displaystyle { \ mathit { initiates } } ( e, f, t ) } means that, if the event represented by the term e is executed at time t, then the fluent f will be ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
our hypothesis might specify the probability distribution of x { \ displaystyle x } precisely, or it might only specify that it belongs to some class of distributions. often, we reduce the data to a single numerical statistic, e. g., t { \ displaystyle t }, whose marginal probability distribution is closely connected t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, a multiset ( or bag, or mset ) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements. the number of instances given for each element is called the multiplicity of that element in the multiset. as a consequence, an infinite number of multiset... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the above moment - cumulant formula e ( x 1 x n ) = Ο b β Ο ΞΊ ( x i : i β b ) { \ displaystyle \ operatorname { e } ( x _ { 1 } \ cdots x _ { n } ) = \ sum _ { \ pi } \ prod _ { b \, \ in \, \ pi } \ kappa ( x _ { i } : i \ in b ) } for joint cumulants, one sums over all partitions of the set { 1,..., n }. if instea... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
1997 nr 89 poz. 555. ) provides means of protecting against self - incrimination, including lack of penalization for refusing to answer any question which would enable law enforcement agencies to obtain access to potential evidence, which could be used against testifying person. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
often the principal components with higher variances ( the ones based on eigenvectors corresponding to the higher eigenvalues of the sample variance - covariance matrix of the explanatory variables ) are selected as regressors. however, for the purpose of predicting the outcome, the principal components with low varian... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
it can be accomplished by planting a significant news story indirectly in the media, or presenting it favorably through press releases or corporate anniversary parties. examples include newspaper and magazine articles, tvs and radio presentations, charitable contributions, speeches, issue advertising, seminars. word of... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in order to handle such conflicts correctly, the pipeline must be provided with extra circuitry or logic that detects them and takes the appropriate action. strategies for doing so include : stalling : every affected stage, such as a, is halted until the dependency is resolved β that is, until the required information ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the definitions provided below, let Ο { \ displaystyle \ omega } denote the set of natural numbers ( n { \ displaystyle \ mathbb { n } } ) and a, b... { \ displaystyle a, b... } denote subsets of Ο { \ displaystyle \ omega }. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
consequently, lawmakers aim to devise definitions and categories which are sufficiently precise, so that they are not open to different interpretations. for this purpose, it is critically important to remove fuzziness, and differences of interpretation are typically resolved through a court ruling based on evidence. al... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the early days of java ( before the hotspot vm was implemented in java 1. 3 in 2000 ) there were some criticisms of performance. benchmarks typically reported java as being about 50 % slower than c ( a language which compiles to native code ). java's performance has improved substantially since the early versions. p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, an axiom of countability is a property of certain mathematical objects that asserts the existence of a countable set with certain properties. without such an axiom, such a set might not provably exist. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
that is, even elements always commute. odd elements, on the other hand, always anticommute. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the false fame experiment, participants are presented with a list of non - famous names. later, they are presented with the same names as before, with new non - famous and famous people. the participants then have to determine which names are famous, and the typical finding is that the old non - famous names are oft... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in symmetric - key schemes, the encryption and decryption keys are the same. communicating parties must have the same key in order to achieve secure communication. the german enigma machine utilized a new symmetric - key each day for encoding and decoding messages. in public - key encryption schemes, the encryption key... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the basic five - bit biquinary code of the univac - larc, 15 combinations are allowed, any one of which may be stored may be stored in any digit position in storage. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the fermat curve is the algebraic curve in the complex projective plane defined in homogeneous coordinates ( x : y : z ) by the fermat equation : x n + y n = z n. { \ displaystyle x ^ { n } + y ^ { n } = z ^ { n }. \ } therefore, in terms of the affine plane its equation is : x n + y n = 1. { \ displays... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in software development, version control is a class of systems responsible for managing changes to computer programs or other collections of information such that revisions have a logical and consistent organization. the following tables include general and technical information on notable version control and software ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in project management, a schedule is a listing of a project's milestones, activities, and deliverables. usually dependencies and resources are defined for each task, then start and finish dates are estimated from the resource allocation, budget, task duration, and scheduled events. a schedule is commonly used in the pr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
note that if x and x1, x2,... are random variables corresponding to these distribution functions, then the helly β bray theorem does not imply that e ( xn ) β e ( x ), since g ( x ) = x is not a bounded function. in fact, a stronger and more general theorem holds. let p and p1, p2,... be probability measures on some se... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in order to guarantee safety ( also called " consistency " ), paxos defines three properties and ensures the first two are always held, regardless of the pattern of failures : validity ( or non - triviality ) only proposed values can be chosen and learned. agreement ( or consistency, or safety ) no two distinct learner... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some languages, string literals may contain placeholders referring to variables or expressions in the current context, which are evaluated ( usually at run time ). this is referred to as variable interpolation, or more generally string interpolation. languages that support interpolation generally distinguish strings... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
thus for s = a β
10 2 n { \ displaystyle s = a \ cdot 10 ^ { 2n } } : s β ( β 190 a + 20 + 10 ) β
10 n { \ displaystyle { \ sqrt { s } } \ approx \ left ( { \ frac { - 190 } { a + 20 } } + 10 \ right ) \ cdot 10 ^ { n } } the floating division need be accurate to only one decimal digit, because the estimate overall is ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
software developers can use these models as a basis for the implementation of software architectures and applications. this approach to domain analysis is sometimes called model - driven engineering. in information science, the term " domain analysis " was suggested in 1995 by birger hjΓΈrland and h. albrechtsen. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the in situ in iscr is just latin for " in place ", signifying that iscr is a chemical reduction reaction that occurs at the site of the contamination. like isco, it is able to decontaminate many compounds, and, in theory, iscr could be more effective in ground water remediation than isco. chemical reduction is one hal... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
important algorithms in computational group theory include : the schreier β sims algorithm for finding the order of a permutation group the todd β coxeter algorithm and knuth β bendix algorithm for coset enumeration the product - replacement algorithm for finding random elements of a grouptwo important computer algebra... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematical logic, fixed - point logics are extensions of classical predicate logic that have been introduced to express recursion. their development has been motivated by descriptive complexity theory and their relationship to database query languages, in particular to datalog. least fixed - point logic was first ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the genitive plural, however is hjartna showing a - breaking instead of u - breaking. some borrowings may exhibit similar behaviour, e. g, singular drama, plural dromu. most of these are words for organs. an almost exhaustive list of neuter weak nouns follows : auga ( eye ) bjuga ( a type of sausage ) eista ( testicle ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, a tamari lattice, introduced by dov tamari ( 1962 ), is a partially ordered set in which the elements consist of different ways of grouping a sequence of objects into pairs using parentheses ; for instance, for a sequence of four objects abcd, the five possible groupings are ( ( ab ) c ) d, ( ab ) ( cd ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematical optimization, the push β relabel algorithm ( alternatively, preflow β push algorithm ) is an algorithm for computing maximum flows in a flow network. the name " push β relabel " comes from the two basic operations used in the algorithm. throughout its execution, the algorithm maintains a " preflow " and... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in practice, many functions of interest are computable by machines that always halt. a machine that uses only finite memory on any particular input can be forced to halt for every input by restricting its flow control capabilities so that no input will ever cause the machine to enter an infinite loop. as a trivial exam... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a positive voltage is applied to the anode. this voltage, combined with the high magnetic field between the tips of the internal and external cathodes allow a plasma to start. ions from the plasma are repelled by the anode electric field. this creates an ion beam. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
from the universal algebra viewpoint, most structures can be divided into varieties and quasivarieties depending on the axioms used. some axiomatic formal systems that are neither varieties nor quasivarieties, called nonvarieties, are sometimes included among the algebraic structures by tradition. concrete examples of ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the case of one continuous ( or at least with bounded variation ) compactly supported scaling function with orthogonal shifts, one may make a number of deductions. the proof of existence of this class of functions is due to ingrid daubechies. assuming the scaling function has compact support, then v 0 β v β 1 { \ di... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in 1999, mips technologies replaced the previous versions of the mips architecture with two architectures, the 32 - bit mips32 ( based on mips ii with some added features from mips iii, mips iv, and mips v ) and the 64 - bit mips64 ( based on mips v ) for licensing. nippon electric corporation ( nec ), toshiba, and sib... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the hpcc implementation, by default, most ecl constructs will execute in parallel across the hardware being used. many of the primitives also have a local option to specify that the operation is to occur locally on each node. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the system used a third - party service to identify content being distributed illegally. users were then informed that their accounts were being used for possible copyright infringement and were provided with information about ways to get authorized content online. users who received multiple notices of infringement fa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a similar result also holds in some closed networks. examples of product - form networks where the arrival theorem does not hold include reversible kingman networks and networks with a delay protocol. mitrani offers the intuition that " the state of node i as seen by an incoming job has a different distribution from th... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the benchmark visible when ph7cms is on the development mode. better search experiences with the new sise ( smart intuitive search engine ) and better translation are now done. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the iterations converge to the fixed point of the ifs. whenever x0 belongs to the attractor of the ifs, all iterations xk stay inside the attractor and, with probability 1, form a dense set in the latter. the " chaos game " method plots points in random order all over the attractor. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistics a quasi - maximum likelihood estimate ( qmle ), also known as a pseudo - likelihood estimate or a composite likelihood estimate, is an estimate of a parameter ΞΈ in a statistical model that is formed by maximizing a function that is related to the logarithm of the likelihood function, but in discussing the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in online analytical processing ( olap ), data cubes are a common arrangement of business data suitable for analysis from different perspectives through operations like slicing, dicing, pivoting, and aggregation. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
we want to give unit a a 20 % probability of selection, unit b a 40 % probability, and so on up to unit e ( 100 % ). assuming we maintain alphabetical order, we allocate each unit to the following interval : a : 0 to 0. 2 b : 0. 2 to 0. 6 ( = 0. 2 + 0. 4 ) c : 0. 6 to 1. 2 ( = 0. 6 + 0. 6 ) d : 1. 2 to 2. 0 ( = 1. 2 + ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in recent years, searle's main interlocutor on issues of social ontology has been tony lawson. although their accounts of social reality are similar, there are important differences. lawson emphasizes the notion of social totality whereas searle prefers to refer to institutional facts. furthermore, searle believes that... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a boolean function with multiple outputs, f : { 0, 1 } k β { 0, 1 } m { \ displaystyle f : \ { 0, 1 \ } ^ { k } \ to \ { 0, 1 \ } ^ { m } } with m > 1 { \ displaystyle m > 1 } is a vectorial or vector - valued boolean function ( an s - box in symmetric cryptography ). there are 2 2 k { \ displaystyle 2 ^ { 2 ^ { k } } ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in software engineering, a management review is defined by the ieee as : a systematic evaluation of a software acquisition, supply, development, operation, or maintenance process performed by or on behalf of management... to monitor progress, determine the status of plans and schedules, confirm requirements and their s... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
when a process calls fork, it is deemed the parent process and the newly created process is its child. after the fork, both processes not only run the same program, but they resume execution as though both had called the system call. they can then inspect the call's return value to determine their status, child or pare... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in order to implement 802. 11i, one must first make sure both that the router / access point ( s ), as well as all client devices are indeed equipped to support the network encryption. if this is done, a server such as radius, ads, nds, or ldap needs to be integrated. this server can be a computer on the local network,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in patient care, authorised users have the ability to override masking and access restrictions under emergency circumstances. if a patient is in a critical health state and treatment is urgently required, physicians are provided with the right to access all required information within the ehr. this mechanism is known a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in probability and statistics, the parabolic fractal distribution is a type of discrete probability distribution in which the logarithm of the frequency or size of entities in a population is a quadratic polynomial of the logarithm of the rank ( with the largest example having rank 1 ). this can markedly improve the fi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
social media influencers can be defined as " regular " individuals who have accrued a large number of followers across multiple social media platforms as a result of the content they post. for the most part, social media influencers focus their content on one subject area, like food or fashion. social media influencers... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
there are several different ways to express reciprocity laws. the early reciprocity laws found in the 19th century were usually expressed in terms of a power residue symbol ( p / q ) generalizing the quadratic reciprocity symbol, that describes when a prime number is an nth power residue modulo another prime, and gave ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the context of algorithms that run over the very long term ( servers, cloud... ), the computer architecture evolves over time. however, it is preferable not to have to design a new algorithm each time. an extremely important parameter of a load balancing algorithm is therefore its ability to adapt to scalable hardwa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
each guard for which the condition is true and the input channel is ready is successful. one of the successful alternatives is selected for execution. example : alt count1 < 100 & c1? | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
recall the definition of svd : s v d ( t ) = u Ξ» v t { \ displaystyle \ mathrm { svd } ( { \ mathcal { t } } ) = u \ lambda v ^ { t } } it is the decomposition of the transformation, t { \ displaystyle { \ mathcal { t } } }, into a rotation in the source domain ( i. e. the ellipsoid surface ), v t { \ displaystyle v ^ ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
through various implementations, the mpic was included in powerpc reference designs and some retail computers. ibm used a mpic based on openpic 1. 0 in their rs / 6000 f50 and one based on openpic 1. 2 in their rs / 6000 s70. both of these systems also used a dual 8259 on their pci - isa bridges. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the tensor product ( tp ) model transformation was proposed by baranyi and yam as key concept for higher - order singular value decomposition of functions. it transforms a function ( which can be given via closed formulas or neural networks, fuzzy logic, etc. ) into tp function form if such a transforma... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the case where each n i { \ displaystyle \ textstyle { n } _ { i } } is a poisson point process, then the resulting process n { \ displaystyle \ textstyle { n } } is also a poisson point process with mean intensity Ξ» = i = 1 β Ξ» i. { \ displaystyle \ lambda = \ sum \ limits _ { i = 1 } ^ { \ infty } \ lambda _ { i }... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in practice, the class means and covariances are not known. they can, however, be estimated from the training set. either the maximum likelihood estimate or the maximum a posteriori estimate may be used in place of the exact value in the above equations. although the estimates of the covariance may be considered optima... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the compilation of high - level programming languages, pathwidth arises in the problem of reordering sequences of straight - line code ( that is, code with no control flow branches or loops ) in such a way that all the values computed in the code can be placed in machine registers instead of having to be spilled int... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in much the same way as the ia is difficult to define, it can be utilised in a range of contexts by the information professional, from complying with freedom of information legislation to identifying any existing gaps, duplications, bottlenecks or other inefficiencies in information flows and to understand how existing... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistical test theory, the notion of a statistical error is an integral part of hypothesis testing. the test goes about choosing about two competing propositions called null hypothesis, denoted by h0 and alternative hypothesis, denoted by h1. this is conceptually similar to the judgement in a court trial. the null... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, especially in the area of algebra known as group theory, the term z - group refers to a number of distinct types of groups : in the study of finite groups, a z - group is a finite group whose sylow subgroups are all cyclic. in the study of infinite groups, a z - group is a group which possesses a very g... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in planar directed graphs, the feedback arc set problem obeys a min - max theorem : the minimum size of a feedback arc set equals the maximum number of edge - disjoint directed cycles that can be found in the graph. this is not true for some other graphs ; for instance the first illustration shows a directed version of... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle = efg. } the relation above shows that / ef equals the number g of prime factors of p in ol. by the orbit - stabilizer formula this number is also equal to | g | / | dpj | for every j, where dpj, the decomposition group of pj, is the subgroup of elements of g sending a given pj to itself. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in principle, exact recovery can be solved in its feasible range using maximum likelihood, but this amounts to solving a constrained or regularized cut problem such as minimum bisection that is typically np - complete. hence, no known efficient algorithms will correctly compute the maximum - likelihood estimate in the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the uspa protocol for training students is called the " integrated student program " ( isp ). the isp is separated into categories, each with targeted learning objectives that must be met before the student progresses to the next level. static line, aff, and tandem progression all follow the same categories, but use di... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the above example, each vertex of h has exactly 2 preimages in c. hence c is a 2 - fold cover or a double cover of h. for any graph g, it is possible to construct the bipartite double cover of g, which is a bipartite graph and a double cover of g. the bipartite double cover of g is the tensor product of graphs g Γ k... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in processor mode cores are on and executing code from the system memory and programmed i / o ( inputs and outputs ) through the system which is connected to the system board fpga. loading memory and configuring the processor for bootstrapping ( sustaining after the initial load ) is currently done by software running ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle ( \ phi, \ psi ) \ cdot f = \ psi ^ { - 1 } \ circ f \ circ \ phi. } under this action we see that the map germs f, g : ( m, x ) β ( n, y ) { \ displaystyle f, g : ( m, x ) \ to ( n, y ) } are a { \ displaystyle { \ mathcal { a } } } - equivalent if, and only if, g { \ displaystyle g } lies in the orbi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
call this number Ο r ( s 1 ) { \ displaystyle \ ; \ omega _ { r } ( s _ { 1 } ) }. by assumption, the combined system ( of the system we are interested in and the reservoir ) is isolated, so all microstates are equally probable. therefore, for instance, if Ο r ( s 1 ) = 2 Ο r ( s 2 ) { \ displaystyle \ ; \ omega _ { r ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for many distributions, the kernel can be written in closed form, but not the normalization constant. an example is the normal distribution. its probability density function is p ( x | ΞΌ, Ο 2 ) = 1 2 Ο Ο 2 e β ( x β ΞΌ ) 2 2 Ο 2 { \ displaystyle p ( x | \ mu, \ sigma ^ { 2 } ) = { \ frac { 1 } { \ sqrt { 2 \ pi \ sigma ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
these evaluations are then transferred to the linguistic feature. an observer's attention may be drawn to a target as a result of certain general features of that target. these features include : general object attributes β vivid colors, object's proximity to observer difference between object attribute and its immedia... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in regression analysis, plotting is a more natural way to view the overall trend of the whole data. the mean of the distance from each point to the predicted regression model can be calculated, and shown as the mean squared error. the squaring is critical to reduce the complexity with negative signs. to minimize mse, t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
first, define a modified greedy algorithm, that selects the set s i { \ displaystyle s _ { i } } that has the best ratio of weighted uncovered elements to cost. second, among covers of cardinality 1, 2,.. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the longer, e. g. a sentence ( measured in terms of the number of clauses ) the shorter the clauses ( measured in terms of the number of words ), or : the longer a word ( in syllables or morphs ) the shorter the syllables or words in sounds ). law of diversification : if linguistic categories such as parts - of - speec... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the theorem is named for the greek philosopher pythagoras, born around 570 bc. the theorem has been proved numerous times by many different methods β possibly the most for any mathematical theorem. the proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
this yields one scalar equation for x 1 { \ displaystyle x _ { 1 } } : as such, we find : the implementation in dev - c + + without preserving the coefficient vectors : in both cases the auxiliary systems to be solved are genuinely tri - diagonal, so the overall computational complexity of solving system a x = d { \ di... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in telecommunication, the term can be defined as : the ability to provide services to and accept services from other systems, and to use the services exchanged to enable them to operate effectively together. itu - t provides standards for international telecommunications. the condition achieved among communications - e... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in numerical computation, pseudocode often consists of mathematical notation, typically from set and matrix theory, mixed with the control structures of a conventional programming language, and perhaps also natural language descriptions. this is a compact and often informal notation that can be understood by a wide ran... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the analysis of algorithms on graphs, the distinction between a graph and its complement is an important one, because a sparse graph ( one with a small number of edges compared to the number of pairs of vertices ) will in general not have a sparse complement, and so an algorithm that takes time proportional to the n... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistics, a latent class model ( lcm ) relates a set of observed ( usually discrete ) multivariate variables to a set of latent variables. it is a type of latent variable model. it is called a latent class model because the latent variable is discrete. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in number theory, a branch of mathematics, the special number field sieve ( snfs ) is a special - purpose integer factorization algorithm. the general number field sieve ( gnfs ) was derived from it. the special number field sieve is efficient for integers of the form re Β± s, where r and s are small ( for instance mers... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in penetration testing, black - box testing refers to a method where an ethical hacker has no knowledge of the system being attacked. the goal of a black - box penetration test is to simulate an external hacking or cyber warfare attack. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the concept hierarchy derivation step, the ol system tries to arrange the extracted concepts in a taxonomic structure. this is mostly achieved with unsupervised hierarchical clustering methods. because the result of such methods is often noisy, a supervision step, e. g., user evaluation, is added. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
first, geometric structures such as that of a differentiable manifold or a scheme can be expressed in terms of a sheaf of rings on the space. in such contexts, several geometric constructions such as vector bundles or divisors are naturally specified in terms of sheaves. second, sheaves provide the framework for a very... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in addition to their abstract properties, group theorists also study the different ways in which a group can be expressed concretely, both from a point of view of representation theory ( that is, through the representations of the group ) and of computational group theory. a theory has been developed for finite groups,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in telecommunications and computer networking, connection - oriented communication is a communication protocol where a communication session or a semi - permanent connection is established before any useful data can be transferred. the established connection ensures that data is delivered in the correct order to the up... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in probability theory, a chernoff bound is an exponentially decreasing upper bound on the tail of a random variable based on its moment generating function. the minimum of all such exponential bounds forms the chernoff or chernoff - cramer bound, which may decay faster than exponential ( e. g. sub - gaussian ). it is e... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
algol's key ideas were continued, producing algol 68 : syntax and semantics became even more orthogonal, with anonymous routines, a recursive typing system with higher - order functions, etc. ; not only the context - free part, but the full language syntax and semantics were defined formally, in terms of van wijngaarde... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
there were also around 188 million axe lines in place or on order in 117 countries. telecom and chip companies worked in the 1990s to provide internet access over mobile telephones. early versions such as wireless application protocol ( wap ) used packet data over the existing gsm network, in a form known as gprs ( gen... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the absence of empirical algorithmics, analyzing the complexity of an algorithm can involve various theoretical methods applicable to various situations in which the algorithm may be used. memory and cache considerations are often significant factors to be considered in the theoretical choice of a complex algorithm,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the morphisms take one from one object to another, and form a dependent family of types, thus morphisms might be typed g : a β b { \ displaystyle g : a \ rightarrow b }, h : b β c { \ displaystyle h : b \ rightarrow c }, say. composition is then a total function : β : ( b β c ) β ( a β b ) β a β c { \ displaystyle \ ci... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
there is no undisputed winner by only looking at the pairwise differences here. now the strongest paths have to be identified. to help visualize the strongest paths, the set of pairwise preferences is depicted in the diagram on the right in the form of a directed graph. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
this is related to the rearrangement of the elements of s in which each element s is replaced by the corresponding f ( s ). for example, the permutation ( 3, 1, 2 ) mentioned above is described by the function Ξ± { \ displaystyle \ alpha } defined as Ξ± ( 1 ) = 3, Ξ± ( 2 ) = 1, Ξ± ( 3 ) = 2 { \ displaystyle \ alpha ( 1 ) =... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, chebyshev distance ( or tchebychev distance ), maximum metric, or lβ metric is a metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension. it is named after pafnuty chebyshev. it is also known as chessboard distance, sinc... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the case of a wholly textual search, the first step in classifying web pages is to find an β index item β that might relate expressly to the β search term. β in the past, search engines began with a small list of urls as a so - called seed list, fetched the content, and parsed the links on those pages for relevant i... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the early 1950s, alick glennie developed autocode, possibly the first compiled programming language, at the university of manchester. in 1954, a second iteration of the language, known as the " mark 1 autocode, " was developed for the mark 1 by r. a. brooker. brooker, with the university of manchester, also develope... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
if the other developers check out the new code without being aware of the problem, their work may grind to a halt while they wait for the problem to be fixed ( or try to fix it themselves, which can be even more problematic, if multiple developers attempt to fix the issue at the same time ). this naturally can result i... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the cramer β wold theorem in measure theory states that a borel probability measure on r k { \ displaystyle \ mathbb { r } ^ { k } } is uniquely determined by the totality of its one - dimensional projections. it is used as a method for proving joint convergence results. the theorem is named after haral... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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