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in mathematics, an ordered vector space or partially ordered vector space is a vector space equipped with a partial order that is compatible with the vector space operations. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the 1980s the rca 1802 was used for many missions β like galileo. this mission and other missions started the trend away from custom built nasa cpus in spacecraft. the exploration of the inner and outer parts of the solar system would have to be done with existing ( civilian and military - aerospace ) cpus. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, a function f : r n β r { \ displaystyle f : \ mathbb { r } ^ { n } \ rightarrow \ mathbb { r } } is said to be closed if for each Ξ± β r { \ displaystyle \ alpha \ in \ mathbb { r } }, the sublevel set { x β dom f | f ( x ) β€ Ξ± } { \ displaystyle \ { x \ in { \ mbox { dom } } f \ vert f ( x ) \ leq \ alp... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematical logic, such concepts as primitive recursive functions and ΞΌ - recursive functions represent integer - valued functions of several natural variables or, in other words, functions on nn. godel numbering, defined on well - formed formulae of some formal language, is a natural - valued function. computabili... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
note that the noise can be either stochastic or deterministic. alternatively the model can be expressed as p Ο ( y ) = p Ο ( m ) + p Ο ( z ), { \ displaystyle p _ { \ omega } ( y ) = p _ { \ omega } ( m ) + p _ { \ omega } ( z ), } where z { \ displaystyle z } is an n Γ n { \ displaystyle n \ times n } matrix with entr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in modern english, there are several conventions for abbreviations, and the choice may be confusing. the only rule universally accepted is that one should be consistent, and to make this easier, publishers express their preferences in a style guide. some questions which arise are shown below. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
+ x 5 5! β x 7 7! | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in telecommunications, the coverage of a radio station is the geographic area where the station can communicate. broadcasters and telecommunications companies frequently produce coverage maps to indicate to users the station's intended service area. coverage depends on several factors, such as orography ( i. e. mountai... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistics, an expectation β maximization ( em ) algorithm is an iterative method to find ( local ) maximum likelihood or maximum a posteriori ( map ) estimates of parameters in statistical models, where the model depends on unobserved latent variables. the em iteration alternates between performing an expectation (... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in regards to implicit / automatic versus explicit proximity search, as of november 2008, most internet search engines only implement an implicit proximity search functionality. that is, they automatically rank those search results higher where the user keywords have a good " overall proximity score " in such results. ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
assume this chain has stationary distribution Ο { \ displaystyle \ pi }. define q ( x, y ) = Ο ( x ) k ( x, y ) { \ displaystyle q ( x, y ) = \ pi ( x ) k ( x, y ) } and for a, b β x { \ displaystyle a, b \ subset x } define q ( a Γ b ) = x β a, y β b q ( x, y ). { \ displaystyle q ( a \ times b ) = \ sum _ { x \ in a,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in strictly horological terms, " rating " a chronometer means that prior to the instrument entering service, the average rate of gaining or losing per day is observed and recorded on a rating certificate which accompanies the instrument. this daily rate is used in the field to correct the time indicated by the instrume... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in number theory, a multiplicative function is an arithmetic function f ( n ) of a positive integer n with the property that f ( 1 ) = 1 and whenever a and b are coprime. an arithmetic function f ( n ) is said to be completely multiplicative ( or totally multiplicative ) if f ( 1 ) = 1 and f ( ab ) = f ( a ) f ( b ) ho... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the decentralized federated learning setting, the nodes are able to coordinate themselves to obtain the global model. this setup prevents single point failures as the model updates are exchanged only between interconnected nodes without the orchestration of the central server. nevertheless, the specific network topo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
this is called the " receiving party pays " model. in china, it was reported that both of its two operators will adopt the caller - pays approach as early as january 2007. one disadvantage of the receiving party pays systems is that phone owners keep their phones turned off to avoid receiving unwanted calls, which resu... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in early days, the user space programs that wanted to use the graphical framebuffer were also responsible for providing the mode - setting operations, and therefore they needed to run with privileged access to the video hardware. in unix - type operating systems, the x server was the most prominent example, and its mod... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in parallel computing, an embarrassingly parallel workload or problem ( also called embarrassingly parallelizable, perfectly parallel, delightfully parallel or pleasingly parallel ) is one where little or no effort is needed to separate the problem into a number of parallel tasks. this is often the case where there is ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the pair type is a special case of the dependent pair type, where the type b may depend on the instance picked from a. in many languages, product types take the form of a record type, for which the components of a tuple can be accessed by label. in languages that have algebraic data types, as in most functional program... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in system high mode of operation, all users must have : signed nda for all information on the system. proper clearance for all information on the system. formal access approval for all information on the system. a valid need to know for some information on the system. all users can access some data, based on their need... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the double null chart for minkowski spacetime, d s 2 = β 2 d u d v + d x 2 + d y 2, β β < u, v, x, y < β { \ displaystyle ds ^ { 2 } = - 2 \, du \, dv + dx ^ { 2 } + dy ^ { 2 }, \ ; \ ; \ ; - \ infty | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in einstein notation, covariant components are denoted with lower indices as in w = w i e i. { \ displaystyle \ mathbf { w } = w _ { i } \ mathbf { e } ^ { i }. } | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
combining 256 consecutive 20 - bit samples can increase the snr by a factor of 16, effectively adding 4 bits to the resolution and producing a single sample with 24 - bit resolution. the number of samples required to get n { \ displaystyle n } bits of additional data precision is number of samples = ( 2 n ) 2 = 2 2 n. ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the area of tax policy, exchange of information is a critical tool in assuring compliance with tax codes. as the economy becomes increasingly globalized taxpayers gain greater freedom to move between countries and regions. tax authorities, however, are restrained by national borders. in order for governments to ensu... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, restriction of scalars ( also known as " weil restriction " ) is a functor which, for any finite extension of fields l / k and any algebraic variety x over l, produces another variety resl / kx, defined over k. it is useful for reducing questions about varieties over large fields to questions about more... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the maximum - minimums identity is a relation between the maximum element of a set s of n numbers and the minima of the 2n β 1 non - empty subsets of s. let s = { x1, x2,..., xn }. the identity states that max { x 1, x 2, β¦, x n } = i = 1 n x i β i < j min { x i, x j } + i < j < k min { x i, x j, x k } ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the context of computational musicology, lda has been used to discover tonal structures in different corpora. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in terms of mathematical optimization, dynamic programming usually refers to simplifying a decision by breaking it down into a sequence of decision steps over time. this is done by defining a sequence of value functions v1, v2,..., vn taking y as an argument representing the state of the system at times i from 1 to n. ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, a semigroup is a nonempty set together with an associative binary operation. a special class of semigroups is a class of semigroups satisfying additional properties or conditions. thus the class of commutative semigroups consists of all those semigroups in which the binary operation satisfies the commut... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
but there are some efforts to characterize nonlinear systems, such as volterra and wiener series using polynomial integrals as the use of those methods naturally extend the signal into multi - dimensions. another example is the empirical mode decomposition method using hilbert transform instead of fourier transform for... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some statically - typed languages such as boo and d, class type checking can be specified to occur at runtime rather than at compile time. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some languages, for example english, there is often a similarity between clauses expressing an action or event in the passive voice and clauses expressing a state. for example, the string of words " the dog is fed " can have the following two different meanings : the dog is fed ( twice a day ). the dog is fed ( so w... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
some auxiliary information is needed in order to break symmetry. a standard assumption is that initially each node has a unique identifier, for example, from the set { 1, 2,..., n }. put otherwise, we assume that we are given an n - coloring. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
it not only connects pots phone lines with the rest of the pstn, but also replaces dsl by connecting directly to ethernet wired into the home. asynchronous transfer mode is often the communications protocol used. cable tv has long carried multiplexed television channels, and late in the 20th century began offering the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, a delannoy number d { \ displaystyle d } describes the number of paths from the southwest corner ( 0, 0 ) of a rectangular grid to the northeast corner ( m, n ), using only single steps north, northeast, or east. the delannoy numbers are named after french army officer and amateur mathematician henri de... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
based on the philosophical assumption of the strong church - turing thesis, a mathematical criterion for evaluation of evidence has been conjectured, with the criterion having a resemblance to the idea of occam's razor that the simplest comprehensive description of the evidence is most likely correct. it states formall... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the underlying assumption with descriptively close sets is that such sets contain elements that have location and measurable features such as colour and frequency of occurrence. the description of the element of a set is defined by a feature vector. comparison of feature vectors provides a basis for measuring the close... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in single - stage job scheduling problems, there are four main categories of machine environments : 1 : single - machine scheduling. there is a single machine. p : identical - machines scheduling. there are m { \ displaystyle m } parallel machines, and they are identical. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in philosophical ethics, the naturalistic fallacy is the claim that it is possible to give a reductive explanation of good, in terms of natural properties such as pleasant or desirable. the term was introduced by british philosopher g. e. moore in his 1903 book principia ethica. moore's naturalistic fallacy is closely ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistics, additive smoothing, also called laplace smoothing or lidstone smoothing, is a technique used to smooth categorical data. given a set of observation counts x = β¨ x 1, x 2, β¦, x d β© { \ textstyle \ textstyle { \ mathbf { x } \ = \ \ left \ langle x _ { 1 }, \, x _ { 2 }, \, \ ldots, \, x _ { d } \ right \ ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in packed bcd, the number 127 is represented by 0001 0010 0111 1100 ( 127c ) and β127 is represented by 0001 0010 0111 1101 ( 127d ). burroughs systems used 1101 ( d ) for negative, and any other value is considered a positive sign value ( the processors will normalize a positive sign to 1100 ( c ) ). no matter how man... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics and computer science, the syntactic monoid m ( l ) { \ displaystyle m ( l ) } of a formal language l { \ displaystyle l } is the smallest monoid that recognizes the language l { \ displaystyle l }. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in 2001, thinsoft betwin offered a multiseat solution for windows, utilizing multiple graphics cards and peripherals attached to a single host pc. in 2002 a canadian company, userful corporation, released userful multiplier, a multiseat linux software solution that enables up to 10 users to simultaneously share one com... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, an integer matrix is a matrix whose entries are all integers. examples include binary matrices, the zero matrix, the matrix of ones, the identity matrix, and the adjacency matrices used in graph theory, amongst many others. integer matrices find frequent application in combinatorics. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the c0 control characters, being unaffected by the shift state of a 7 - bit code, were to always be represented in an 8 - bit code with the eighth bit unset. the consequently otherwise - unused bytes in the range 0x80 through 0x9f could be used for additional control codes, which would instead be represented as 0x1b 0x... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
it can be proven that if for a transformation g β² { \ displaystyle g ^ { \ prime } }, support set will also lie within g β² g 0 { \ displaystyle g ^ { \ prime } g _ { 0 } }, then signature of i { \ displaystyle i } is invariant with respect to g β² { \ displaystyle g ^ { \ prime } }. this theorem determines the range of ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
only one processor can access a block at a time. the following two algorithms solve the crew and erew problem if p β€ b { \ displaystyle p \ leq b } processors write to the same block simultaneously. a first approach is to serialize the write operations. only one processor after the other writes to the block. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some countries, crash type classification exists for statistical purpose so that a crash is counted in one type or another. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in an attempt to duplicate mills & boon's success in north america, harlequin improved their distribution and marketing system. by choosing to sell their books " where the women are, " they allowed many mass - market merchandisers and even supermarkets to sell the books, all of which were exactly 192 pages. harlequin t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle g _ { i } ( x _ { 0 } ) > 0. } equality constraints are always active. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for example, the following is an instruction for the super harvard architecture single - chip computer ( sharc ). in one cycle, it does a floating - point multiply, a floating - point add, and two autoincrement loads. all of this fits in one 48 - bit instruction : f12 = f0 * f4, f8 = f8 + f12, f0 = dm ( i0, m3 ), f4 = ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the set of prime numbers is not almost n { \ displaystyle \ mathbb { n } }, because there are infinitely many natural numbers that are not prime numbers. the set of transcendental numbers are almost r { \ displaystyle \ mathbb { r } }, because the algebraic real numbers form a countable subset of the set of real number... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in phonology, an idiosyncratic property contrasts with a systematic regularity. while systematic regularities in the sound system of a language are useful for identifying phonological rules during analysis of the forms morphemes can take, idiosyncratic properties are those whose occurrence is not determined by those ru... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistics, sometimes the covariance matrix of a multivariate random variable is not known but has to be estimated. estimation of covariance matrices then deals with the question of how to approximate the actual covariance matrix on the basis of a sample from the multivariate distribution. simple cases, where observ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in software engineering, software aging is the tendency for software to fail or cause a system failure after running continuously for a certain time, or because of ongoing changes in systems surrounding the software. software aging has several causes, including the inability of old software to adapt to changing needs o... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
primitive ideals are prime. the quotient of a ring by a left primitive ideal is a left primitive ring. for commutative rings the primitive ideals are maximal, and so commutative primitive rings are all fields. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in orthogonal range searching, the set s consists of n { \ displaystyle n } points in d { \ displaystyle d } dimensions, and the query consists of intervals in each of those dimensions. thus, the query consists of a multi - dimensional axis - aligned rectangle. with an output size of k { \ displaystyle k }, jon bentley... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics and computer science, a stack - sortable permutation ( also called a tree permutation ) is a permutation whose elements may be sorted by an algorithm whose internal storage is limited to a single stack data structure. the stack - sortable permutations are exactly the permutations that do not contain the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a set of intervals j is called a covering of p if each point in p is contained in at least one interval of q. the rainbow covering problem is the problem of finding a rainbow set q that is a covering of p. the problem is np - hard ( by reduction from linear sat ). a more general notion is conflict - free covering. in t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the beginning of a scenario, one might calculate the probability of a certain event. however, as soon as one gains more information about the scenario, one may need to re - calculate the probability accordingly. for example, when being told that a woman has two children, one might be interested in knowing if either ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
if bob measures in the computational basis, his only possible measurement is | Ο 00 β© { \ displaystyle | \ psi _ { 00 } \ rangle }. this outcome is clearly consistent with the state having been | Ο 00 β© { \ displaystyle | \ psi _ { 00 } \ rangle }, but it would also be a possible outcome if the state had been | Ο 01 β© ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the most common example of a host is a pc but some cell phones and pdas also can be hosts. the hid protocol makes implementation of devices very simple. devices define their data packets and then present a " hid descriptor " to the host. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some languages, like english, palatalization is allophonic. some phonemes have palatalized allophones in certain contexts, typically before front vowels and unpalatalized allophones elsewhere. because it is allophonic, palatalization of this type does not distinguish words and often goes unnoticed by native speakers... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in our initial formulation, introduce a binary variable x i { \ displaystyle x _ { i } } for i = 1, β¦, n { \ displaystyle i = 1, \ dots, n }, where x i = 1 { \ displaystyle x _ { i } = 1 } if facility i { \ displaystyle i } is open, and x i = 0 { \ displaystyle x _ { i } = 0 } otherwise. further introduce the variable ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in order to maintain the structure of the tango tree ( auxiliary trees correspond to preferred paths ), we must do some updating work whenever preferred children change as a result of searches. when a preferred child changes, the top part of a preferred path becomes detached from the bottom part ( which becomes its own... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the very first attempt to devise an algorithmic language was undertaken in 1948 by k. zuse. his notation was quite general, but the proposal never attained the consideration it deserved. unable to continue building computers β which was also forbidden by the allied powers β zuse devoted his time to the development of a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
reading accuracy is sometimes a problem with goniometers. issues with the intra - measure ( between measures ) and inter - tester ( between clinicians ) reliability may increase as the experience of the examiner decreases. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
vehicles that carry commodities are further subdivided by number of axles and number of units, including both power and trailer units. the united states environmental protection agency ( us epa ) has developed a classification scheme used to compare fuel economy among similar vehicles. passenger vehicles are classified... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
note that the example below uses the c # null coalescing operator to guarantee error free invocation, where it could also have used a more mundane if... then... else. the following example only works when you do not care the existence of null, or you treat null and empty string the same. the assumption may not hold in ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the early days of computing, a few experimental soviet computers were built with balanced ternary instead of binary, the most famous being the setun, built by nikolay brusentsov and sergei sobolev. the notation has a number of computational advantages over traditional binary and ternary. particularly, the plus β min... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the visitor1 class implements the operation ( visitelementb ( e : elementb ) ). the uml sequence diagram shows the run - time interactions : the client object traverses the elements of an object structure ( elementa, elementb ) and calls accept ( visitor ) on each element. first, the client calls accept ( visitor ) on ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, set a is a subset of a set b if all elements of a are also elements of b ; b is then a superset of a. it is possible for a and b to be equal ; if they are unequal, then a is a proper subset of b. the relationship of one set being a subset of another is called inclusion ( or sometimes containment ). a is... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
common mathematical expressions for a characterization of x in terms of p include " p is necessary and sufficient for x ", and " x holds if and only if p ". it is also common to find statements such as " property q characterizes y up to isomorphism ". the first type of statement says in different words that the extensi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the following compilation, m is the length of the pattern, n the length of the searchable text, and k = | Ο | is the size of the alphabet. 1. ^ asymptotic times are expressed using o, Ο, and ΞΈ notation. 2. ^ used to implement the memmem and strstr search functions in the glibc and musl c standard libraries. 3. ^ can... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistical applications, many problems can be formulated in the following way. one is interested in the expectation of a response function g : r d β r { \ displaystyle g : \ mathbb { r } ^ { d } \ rightarrow \ mathbb { r } } applied to some random vector ( x 1, β¦, x d ) { \ displaystyle ( x _ { 1 }, \ dots, x _ { d... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
written multiplication is also based on the distributive law. second example ( with variables ) third example ( with two sums ) here the distributive law was applied twice, and it does not matter which bracket is first multiplied out. fourth examplehere the distributive law is applied the other way around compared to t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in software engineering, software durability means the solution ability of serviceability of software and to meet user's needs for a relatively long time. software durability is important for user's satisfaction. for a software security to be durable, it must allow an organization to adjust the software to business nee... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, liouville's theorem, originally formulated by joseph liouville in 1833 to 1841, places an important restriction on antiderivatives that can be expressed as elementary functions. the antiderivatives of certain elementary functions cannot themselves be expressed as elementary functions. these are called n... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the hilbert space viewpoint, one considers an h { \ displaystyle h } - valued random element x { \ displaystyle x }, where h { \ displaystyle h } is a separable hilbert space such as the space of square - integrable functions l 2 { \ displaystyle l ^ { 2 } }. under the integrability condition that e β x β l 2 2 = e ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in terms of independence, a finite matroid m { \ displaystyle m } is a pair ( e, i ) { \ displaystyle ( e, { \ mathcal { i } } ) }, where e { \ displaystyle e } is a finite set ( called the ground set ) and i { \ displaystyle { \ mathcal { i } } } is a family of subsets of e { \ displaystyle e } ( called the independen... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
nevil maskelyne, the newly appointed astronomer royal who was on the board of longitude, started with mayer's tables and after his own experiments at sea trying out the lunar distance method, proposed annual publication of pre - calculated lunar distance predictions in an official nautical almanac for the purpose of fi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the set of all possible feature vectors constitutes a feature space. a common example of feature vectors appears when each image point is to be classified as belonging to a specific class. assuming that each image point has a corresponding feature vector based on a suitable set of features, meaning that each class is w... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in producing, people must continually maintain their assets, replace assets, and consume things but they also can create more beyond those requirements, assuming sufficient productivity of labour. this social surplus product can be : destroyed, or wasted held in reserve, or hoarded consumed traded or otherwise transfer... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some situations, there is a risk of losing track of block boundaries. this is often seen in large sections of code containing many compound statements nested to many levels of indentations. by the time the programmer scrolls to the bottom of a huge set of nested statements, they may have lost track of which control ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the validity of an argument is not a guarantee of the truth of its conclusion. a valid argument may have false premises that render it inconclusive : the conclusion of a valid argument with one or more false premises may be true or false. logic seeks to discover the forms that make arguments valid. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the envy - free cake - cutting problem, a " cake " ( a heterogeneous divisible resource ) has to be divided among n partners with different preferences over parts of the cake. the cake has to be divided to n pieces such that : ( a ) each partner receives a single connected piece, and ( b ) each partner believes that... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
β 2 { \ displaystyle \ ell _ { 2 } } ) counted with their multiplicities, augmented by adding a countable infinity of points of the diagonal { ( x, y ) β r 2 : x = y } { \ displaystyle \ { ( x, y ) \ in \ mathbb { r } ^ { 2 } : x = y \ } }. the matching distance between β 1 { \ displaystyle \ ell _ { 1 } } and β 2 { \ ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in n { \ displaystyle n } - dimensional space r n { \ displaystyle \ mathbb { r } ^ { n } }, uniform scaling by a factor v { \ displaystyle v } is accomplished by scalar multiplication with v { \ displaystyle v }, that is, multiplying each coordinate of each point by v { \ displaystyle v }. as a special case of linear ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in number theory, moessner's theorem or moessner's magic is related to an arithmetical algorithm to produce an infinite sequence of the exponents of positive integers 1 n, 2 n, 3 n, 4 n,, { \ displaystyle 1 ^ { n }, 2 ^ { n }, 3 ^ { n }, 4 ^ { n }, \ cdots ~, } with n β₯ 1, { \ displaystyle n \ geq 1 ~, } by recursively... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the category of sets, an exponential object z y { \ displaystyle z ^ { y } } is the set of all functions y β z { \ displaystyle y \ to z }. the map e v a l : ( z y Γ y ) β z { \ displaystyle \ mathrm { eval } \ colon ( z ^ { y } \ times y ) \ to z } is just the evaluation map, which sends the pair ( f, y ) { \ displ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in that time, the linux console project also proposed an idea to use multiple independent consoles and then multiple independent keyboards and mice in a project called " backstreet ruby ". backstreet ruby is a kernel patch for the linux kernel. it is a back port to linux - 2. 4 of the ruby kernel tree. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the nks framework, these themselves should be simple programs, and subject to the same goals and methodology. an extension of this idea is that the human mind is itself a computational system, and hence providing it with raw data in as effective a way as possible is crucial to research. wolfram believes that program... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in probability theory, dirichlet processes ( after the distribution associated with peter gustav lejeune dirichlet ) are a family of stochastic processes whose realizations are probability distributions. in other words, a dirichlet process is a probability distribution whose range is itself a set of probability distrib... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some cases, a high - privilege application assumes that it would only be provided with input matching its interface specification, thus doesn't validate this input. then, an attacker may be able to exploit this assumption, in order to run unauthorized code with the application's privileges : some windows services ar... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the lp phase of slqp, the following linear program is solved : min d f ( x k ) + β f ( x k ) t d s. t. b ( x k ) + β b ( x k ) t d β₯ 0 c ( x k ) + β c ( x k ) t d = 0. { \ displaystyle { \ begin { array } { rl } \ min \ limits _ { d } & f ( x _ { k } ) + \ nabla f ( x _ { k } ) ^ { t } d \ \ \ mathrm { s. t. } & b (... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in order to increase the decimal division accuracy add as many zeros as required to the right of the dividend but still input it right justified and then proceed as with an integer division. it is important to know where the decimal point is, when you read the quotient ( some markers, first ivory and then metal, were u... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the preconditioner matrix m has to be symmetric positive - definite and fixed, i. e., cannot change from iteration to iteration. if any of these assumptions on the preconditioner is violated, the behavior of the preconditioned conjugate gradient method may become unpredictable. an example of a commonly used preconditio... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the calculus of constructions, denoted as Ξ»c in the cube or as Ξ»pΟ, : 130 these four features cohabit, so that both types and terms can depend on types and terms. the clear border that exists in Ξ»β between terms and types is somewhat abolished, as all types except the universal { \ displaystyle \ square } are themse... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the cases below where n is an exponent, multiples of n are also proven, since a kn - th power is also an n - th power. where solutions involving a second power are alluded to below, they can be found specifically at fermat β catalan conjecture # known solutions. all cases of the form ( 2, 3, n ) or ( 2, n, 3 ) have ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in terms of kripke semantics, s5 is characterized by models where the accessibility relation is an equivalence relation : it is reflexive, transitive, and symmetric. determining the satisfiability of an s5 formula is an np - complete problem. the hardness proof is trivial, as s5 includes the propositional logic. member... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
by subtracting 1 2 i = 1 n v i { \ displaystyle { \ frac { 1 } { 2 } } \ sum _ { i = 1 } ^ { n } v _ { i } } from each possible subsum ( that is, by changing the origin and then scaling by a factor of 2 ), the littlewood β offord problem is equivalent to the problem of determining the number of sums of the form i = 1 n... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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