text
stringlengths
1
3.05k
source
stringclasses
4 values
the formula was discovered independently by leonhard euler and colin maclaurin around 1735. euler needed it to compute slowly converging infinite series while maclaurin used it to calculate integrals. it was later generalized to darboux's formula.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in practice, the output from many common prngs exhibit artifacts that cause them to fail statistical pattern - detection tests. these include : shorter - than - expected periods for some seed states ( such seed states may be called " weak " in this context ) ; lack of uniformity of distribution for large quantities of ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in probability theory, the output of the softargmax function can be used to represent a categorical distribution – that is, a probability distribution over k different possible outcomes.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in software development, a mistake or error may be introduced at any stage. bugs arise from oversight or misunderstanding by a software team during specification, design, coding, configuration, data entry or documentation. for example, a relatively simple program to alphabetize a list of words, the design might fail to...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
algorithms which use context - free grammars often rely on some variant of the cyk algorithm, usually with some heuristic to prune away unlikely analyses to save time. ( see chart parsing. ) however some systems trade speed for accuracy using, e. g., linear - time versions of the shift - reduce algorithm. a somewhat re...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
" the sky is blue ", " grass is green ", etc. when there are actually myriad variations in hue, chroma, within these areas. in order to represent objects realistically, painters must look beyond the simplifications of local color. demonstrations of color constancy show how flawed local color assumptions can be when the...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the context of harming privacy, information collection means gathering whatever information can be obtained by doing something to obtain it. examples include surveillance and interrogation. another example is how consumers and marketers also collect information in the business context through facial recognition whic...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
some binary data corresponds to computer instructions, such as the data within processor registers decoded by the control unit along the fetch - decode - execute cycle. computers rarely modify individual bits for performance reasons. instead, data is aligned in groups of a fixed number of bits, usually 1 byte ( 8 bits ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
while there are exponentially - many such cycles, a separation oracle that works in polynomial time can be implemented by just finding an odd cycle of minimum length, which can be done in polynomial time. the dual of the configuration linear program for the bin packing problem. it can be approximated by an lp with a co...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
includes user views and descriptions of how the system is expected to behave. information viewpointmetamodel view – an abstract view that defines information model elements and their structures and relationships. defines the classes of data that are created and managed by the system and the data architecture. informati...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunication, an n - ary code is a code that has n significant conditions, where n is a positive integer greater than 1. the integer substituted for n indicates the specific number of significant conditions, i. e., quantization states, in the code. for example, an 8 - ary code has eight significant conditions a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this paper also introduced concepts from convex geometry, including " elfving sets " and elfving's theorem. being symmetric, elfving sets are formed by the union of a set and its reflection through the origin, βˆ’s βˆͺ s. according to chernoff ( 1999, p. 204 ), elfving was generous in crediting others'results : his paper i...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
{ \ displaystyle m = b ^ { * } b. } a matrix is positive semi - definite if it satisfies similar equivalent conditions where " positive " is replaced by " nonnegative ", " invertible matrix " is replaced by " matrix ", and the word " leading " is removed. positive - definite and positive - semidefinite real matrices ar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
{ \ displaystyle \ sum _ { k = 0 } ^ { \ infty } \ left | \ pr ( s _ { n } = k ) - { \ lambda _ { n } ^ { k } e ^ { - \ lambda _ { n } } \ over k! } \ right | < 2 \ left ( \ sum _ { i = 1 } ^ { n } p _ { i } ^ { 2 } \ right ). } in other words, the sum has approximately a poisson distribution and the above inequality b...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in testing the null hypothesis that the population mean is equal to a specified value ΞΌ0, one uses the statistic t = x βˆ’ ΞΌ 0 s / n { \ displaystyle t = { \ frac { { \ bar { x } } - \ mu _ { 0 } } { s / { \ sqrt { n } } } } } where x { \ displaystyle { \ bar { x } } } is the sample mean, s is the sample standard deviati...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
let a = ( a 1, …, a k βˆ’ 1 ) { \ displaystyle \ mathbf { a } = ( a _ { 1 }, \ ldots, a _ { k - 1 } ) } be a vector of positive integers and v { \ displaystyle v } be an n { \ displaystyle n } - element vertex set. we say that a family of partitions p = p ( k βˆ’ 1, a ) = { p ( 1 ) …, p ( k βˆ’ 1 ) } { \ displaystyle { \ mat...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, in the area of abstract algebra known as group theory, an a - group is a type of group that is similar to abelian groups. the groups were first studied in the 1940s by philip hall, and are still studied today. a great deal is known about their structure.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the linux kernel, configfs and sysfs provide files that can be used to query the kernel for information and configure entities in the kernel. procfs maps processes and, on linux, other operating system structures into a filespace.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this is exactly the situation in computers with cache memory, one of the earliest commercial examples of which was the ibm system / 360 model 85. in the model 85 all addresses were real addresses referring to the main core store. a semiconductor cache store, invisible to the user, held the contents of parts of the main...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the validation sample is used to construct a classification matrix which contains the number of correctly classified and incorrectly classified cases. the percentage of correctly classified cases is called the hit ratio. plot the results on a two dimensional map, define the dimensions, and interpret the results.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in music, pieces or sections which confound expectations and may be or are interpreted simultaneously in different ways are ambiguous, such as some polytonality, polymeter, other ambiguous meters or rhythms, and ambiguous phrasing, or ( stein 2005, p. 79 ) any aspect of music. the music of africa is often purposely amb...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 1950s, attempts started to apply computers to the recognition, interpretation and translation of natural languages, such as english and russian. this requires a machine - readable description of the phrase structure of sentences, that can be used to parse and interpret them, and to generate them. context - free ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
such an element is called a modular element. even more generally, the modular law may hold for any a and a fixed pair ( x, b ). such a pair is called a modular pair, and there are various generalizations of modularity related to this notion and to semimodularity. modular lattices are sometimes called dedekind lattices ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
" memoryless " means that if x { \ displaystyle x } is a random variable with such a distribution, then for any numbers 0 < y < x { \ displaystyle 0 x x > y ) = pr ( x > x βˆ’ y ) { \ displaystyle \ pr ( x > x \ mid x > y ) = \ pr ( x > x - y ) }. verification of conditions of characterization theorems in practice is pos...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the method of casting out nines offers a quick check of decimal arithmetic computations performed by hand. it is based on modular arithmetic modulo 9, and specifically on the crucial property that 10 ≑ 1 ( mod 9 ). arithmetic modulo 7 is used in algorithms that determine the day of the week for a given date. in particu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
mobile ui context includes signal cues from user activity, such as the location where or the time when the device is in use, that can be observed from user interactions within a mobile app. such context clues can be used to provide automatic suggestions when scheduling an appointment or activity or to filter a list of ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the owner has a distributive right to exclude others ( i. e. the right to command a " fair share " of personal property ). private property is a social relationship between the owner and persons deprived, i. e. not a relationship between person and thing. private property may include artifacts, factories, mines, dams, ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
however, this heuristic can also produce errors. when people are asked whether there are more english words with k in the first position or with k in the third position, they use the same process. it is easy to think of words that begin with k, such as kangaroo, kitchen, or kept.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in philosophy, the term formal ontology is used to refer to an ontology defined by axioms in a formal language with the goal to provide an unbiased ( domain - and application - independent ) view on reality, which can help the modeler of domain - or application - specific ontologies ( information science ) to avoid pos...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics, the order of a kernel is the degree of the first non - zero moment of a kernel.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in some languages, allophonic palatalization developed into phonemic palatalization by phonemic split. in other languages, phonemes that were originally phonetically palatalized changed further : palatal secondary place of articulation developed into changes in manner of articulation or primary place of articulation. p...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
measurement of productivity is at its most accurate in business because of the availability of all elementary data of the quantities and prices of the inputs and the output in production. the more comprehensive the entity we want to analyse by measurements, the more data need to be aggregated. in productivity measureme...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the beginning, the tree is first created in time ΞΈ ( k ). in each step of merging, only the games on the path from the new element to the root need to be replayed. in each layer, only one comparison is needed.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunications, a carrier wave, carrier signal, or just carrier, is a waveform ( usually sinusoidal ) that is modulated ( modified ) with an information - bearing signal ( called the message signal or modulation signal ) for the purpose of conveying information. this carrier wave usually has a much higher freque...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, the rearrangement inequality states that for every choice of real numbers and every permutation y Οƒ ( 1 ), …, y Οƒ ( n ) { \ displaystyle y _ { \ sigma ( 1 ) }, \ ldots, y _ { \ sigma ( n ) } } of y 1, …, y n. { \ displaystyle y _ { 1 }, \ ldots, y _ { n }. } if the numbers x 1, …, x n { \ displaystyle x...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a moment matrix is a special symmetric square matrix whose rows and columns are indexed by monomials. the entries of the matrix depend on the product of the indexing monomials only ( cf. hankel matrices. ) moment matrices play an important role in polynomial fitting, polynomial optimization ( since posi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
haxe uses structural typing, but classes are not structurally subtyped. in languages which support subtype polymorphism, a similar dichotomy can be formed based on how the subtype relationship is defined.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the notion was introduced by george e. collins in 1975, together with an algorithm for computing it. collins'algorithm has a computational complexity that is double exponential in n. this is an upper bound, which is reached on most entries.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
it is possible to construct a unit distance graph efficiently, given its points. finding all unit distances has applications in pattern matching, where it can be a first step in finding congruent copies of larger patterns. however, determining whether a given graph can be represented as a unit distance graph is np - ha...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
constructed languages have been included in standardized tests such as the sat, where they were used to test the applicant's ability to infer and apply grammatical rules. by the same token, a constructed language might also be used to restrict thought, as in george orwell's newspeak, or to simplify thought, as in toki ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable ( often called the'outcome'or'response'variable, or a'label'in machine learning parlance ) and one or more independent variables ( often called'predictors ','covariates ','explana...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the early 1990s, mips began to license their designs to third - party vendors. this proved fairly successful due to the simplicity of the core, which allowed it to have many uses that would have formerly used much less able complex instruction set computer ( cisc ) designs of similar gate count and price ; the two a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in some programming languages, an assignment statement returns a value, while in others it does not. in most expression - oriented programming languages ( for example, c ), the assignment statement returns the assigned value, allowing such idioms as x = y = a, in which the assignment statement y = a returns the value o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mechanical engineering, a key is a machine element used to connect a rotating machine element to a shaft. the key prevents relative rotation between the two parts and may enable torque transmission. for a key to function, the shaft and rotating machine element must have a keyway and a keyseat, which is a slot and po...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in numerical analysis, order of accuracy quantifies the rate of convergence of a numerical approximation of a differential equation to the exact solution. consider u { \ displaystyle u }, the exact solution to a differential equation in an appropriate normed space ( v, | | | | ) { \ displaystyle ( v, | | \ | | ) }. con...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this algorithm for apr is required for some but not all forms of consumer debt in the eu. for example, this eu directive is limited to agreements of €50, 000 and below and excludes all mortgages. in the netherlands the formula above is also used for mortgages. in many cases the mortgage is not always paid back complete...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the english verb is to krige, and the most common noun is kriging. the word is sometimes capitalized as kriging in the literature. though computationally intensive in its basic formulation, kriging can be scaled to larger problems using various approximation methods.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics and computer programming, index notation is used to specify the elements of an array of numbers. the formalism of how indices are used varies according to the subject. in particular, there are different methods for referring to the elements of a list, a vector, or a matrix, depending on whether one is wr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
section 230 of the communications decency act gives protection from any liability as a result from the publication provided by another party. common issues include defamation, but many courts have expanded it to include other claims as well. online communities of various kinds ( social networking sites, blogs, media sh...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a ridge function is any function f : r d β†’ r { \ displaystyle f : \ mathbb { r } ^ { d } \ rightarrow \ mathbb { r } } that can be written as the composition of a univariate function with an affine transformation, that is : f ( x ) = g ( x β‹… a ) { \ displaystyle f ( { \ boldsymbol { x } } ) = g ( { \ bo...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, specifically abstract algebra, a square class of a field f { \ displaystyle f } is an element of the square class group, the quotient group f Γ— / f Γ— 2 { \ displaystyle f ^ { \ times } / f ^ { \ times 2 } } of the multiplicative group of nonzero elements in the field modulo the square elements of the fi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in professional typography, the term typeface is not interchangeable with the word font ( originally " fount " in british english, and pronounced " font " ), because the term font has historically been defined as a given alphabet and its associated characters in a single size. for example, 8 - point caslon italic was o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
associative operations are abundant in mathematics ; in fact, many algebraic structures ( such as semigroups and categories ) explicitly require their binary operations to be associative. however, many important and interesting operations are non - associative ; some examples include subtraction, exponentiation, and th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the choice of syntax is affected by both linguistic and computational concerns ; for instance some parsing systems use lexical functional grammar, but in general, parsing for grammars of this type is known to be np - complete. head - driven phrase structure grammar is another linguistic formalism which has been popular...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
characterization is not unique to mathematics, but since the science is abstract, much of the activity can be described as " characterization ". for instance, in mathematical reviews, as of 2018, more than 24, 000 articles contain the word in the article title, and 93, 600 somewhere in the review. in an arbitrary conte...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, injections, surjections, and bijections are classes of functions distinguished by the manner in which arguments ( input expressions from the domain ) and images ( output expressions from the codomain ) are related or mapped to each other. a function maps elements from its domain to elements in its codom...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunications, point - to - multipoint communication ( p2mp, ptmp or pmp ) is communication which is accomplished via a distinct type of one - to - many connection, providing multiple paths from a single location to multiple locations. point - to - multipoint telecommunications is typically used in wireless int...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics the cramer – von mises criterion is a criterion used for judging the goodness of fit of a cumulative distribution function f βˆ— { \ displaystyle f ^ { * } } compared to a given empirical distribution function f n { \ displaystyle f _ { n } }, or for comparing two empirical distributions. it is also used as...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics, an outlier is a data point that differs significantly from other observations. an outlier may be due to a variability in the measurement, an indication of novel data, or it may be the result of experimental error ; the latter are sometimes excluded from the data set. an outlier can be an indication of ex...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
it is still possible to check gcc - style assembly for clobber mistakes with knowledge of the instruction set. gnat ( ada language frontend of the gcc suite ), and llvm uses the gcc syntax. the d programming language uses a dsl similar to the msvc extension officially for x86 _ 64, but the llvm - based ldc also provide...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation ( a measure of statistical dispersion ) of a population of values, in such a way that the expected value of the calculation equals ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
instead of using all the elements contained in the selected clusters, the researcher randomly selects elements from each cluster. constructing the clusters is the first stage. deciding what elements within the cluster to use is the second stage.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in general, however, catalan is an svo language. sentences can be simple or compound, depending on whether they contain just one verb or more than one. in the sentences with more than one verb, they can be on an equal footing ( juxtaposition or coordination ), or there may be one main verb and other subordinate ones.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
" the concept of alt - metrics was introduced in 2009 by cameron neylon and shirly wu as article - level metrics. in contrast with the focus of leading metrics on journals ( impact factor ) or, more recently, on individual researchers ( h - index ), the article - level metrics makes it possible to track the circulation...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
square - free factorization is the first step of the polynomial factorization algorithms that are implemented in computer algebra systems. therefore, the algorithm of square - free factorization is basic in computer algebra. over a field of characteristic 0, the quotient of f { \ displaystyle f } by its gcd with its de...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the fair item allocation problem, there are n items and k people, each of which assigns a possibly different value to each item. the goal is to partition the items among the people in as fair way as possible. the natural generalization of the greedy number partitioning algorithm is the envy - graph algorithm.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
one important principle is that if two sets x and y have the same finite number of elements, and a function f : x β†’ y is known to be injective, then it is also surjective, and vice versa. a related fact is known as the pigeonhole principle, which states that if two sets x and y have finite numbers of elements n and m w...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in response to enterprise environment needs, opensocial added support for advanced mashup scenarios. it enabled gadgets to " securely message each other in a loosely coupled manner. " this new feature was called inter - gadget communication.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
step 2 : collect " similar " classes into'bundles': these above collections can be put into a " binary relation " ( comparing for ) similarity by " equinumerosity ", symbolized here by β‰ˆ, i. e. one - one correspondence of the elements, and thereby create russellian classes of classes or what russell called " bundles "....
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in operating - system - level virtualization, a physical server is virtualized at the operating system level, enabling multiple isolated and secure virtualized servers to run on a single physical server. the " guest " operating system environments share the same running instance of the operating system as the host syst...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the depth may also be given as the number of memory elements v in the polynomial or the maximum possible number of states of the encoder ( typically : 2 v { \ displaystyle 2 ^ { v } } ). convolutional codes are often described as continuous. however, it may also be said that convolutional codes have arbitrary block len...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the beginning of the covid - 19 pandemic, former us president donald trump delivered a very dangerous message to the public on the use of disinfectants, which was immediately rejected and refuted by health professionals. in essence, and as mentioned above, virucides are usually toxic depending on concentrations, mix...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the tikhonov regularization setting, the filter function for rls is described below. as shown in, in this setting, c = ( k + n Ξ» i ) βˆ’ 1 y { \ displaystyle c = ( k + n \ lambda i ) ^ { - 1 } y }. thus, c = ( k + n Ξ» i ) βˆ’ 1 y = q ( Οƒ + n Ξ» i ) βˆ’ 1 q t y = i = 1 n 1 Οƒ i + n Ξ» < q i, y > q i. { \ displaystyle c = ( k ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
when mozilla redirected funding away from the project in 2020, it was forked by its original developers as coqui stt using the same open - source license. google gboard supports speech recognition on all android applications. it can be activated through the microphone icon. the commercial cloud based speech recognition...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in superintuitionistic and modal logics, a logic is structurally complete if every admissible rule is derivable. = = references = =
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, and more specifically in graph theory, a directed graph ( or digraph ) is a graph that is made up of a set of vertices connected by directed edges, often called arcs.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistical classification, bayes error rate is the lowest possible error rate for any classifier of a random outcome ( into, for example, one of two categories ) and is analogous to the irreducible error. a number of approaches to the estimation of the bayes error rate exist. one method seeks to obtain analytical b...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the ganz factory in 1884 shipped the world's first five high - efficiency ac transformers. this first unit had been manufactured to the following specifications : 1, 400 w, 40 hz, 120 : 72 v, 11. 6 : 19. 4 a, ratio 1. 67 : 1, one - phase, shell form. the zbd patents included two other major interrelated innovations : o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
additionally, a family of sets may be defined as a function from a set i { \ displaystyle i }, known as the index set, to f { \ displaystyle f }, in which case the sets of the family are indexed by members of i { \ displaystyle i }. in some contexts, a family of sets may be allowed to contain repeated copies of any giv...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
often an adjective is added for specifying the operation, such as in additive inverse, multiplicative inverse, and functional inverse. in this case ( associative operation ), an invertible element is an element that has an inverse. in a ring, an invertible element, also called a unit, is an element that is invertible u...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the euclidean space, the angle ΞΈ between two euclidean vectors u and v is related to their dot product and their lengths by the formula this formula supplies an easy method to find the angle between two planes ( or curved surfaces ) from their normal vectors and between skew lines from their vector equations.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
between any two real numbers a < b, no matter how close they are to each other, there are always infinitely many other real numbers, and cantor showed that they are as many as those contained in the whole set of real numbers. in other words, the open interval ( a, b ) is equinumerous with r. { \ displaystyle \ mathbb {...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
many of these plants do not survive long, as they are often vandalized. an estimated 10, 000 plants are mutilated each week by cutting off the lower leaves for barbacoa or destroying them completely to look for the edible white grubs or ant eggs that can inhabit them. a recent series of pbs travel shows feature pulque ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
indeed, type t need not even have an implementation ; it might be a purely abstract class. as another case in point, type stack above is a behavioral subtype of type bag even if type bag's implementation exhibits fifo behavior : what matters is that type bag's specification does not specify which element is removed by ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the end result of this process is to calculate a threshold value ( of squared error ) whereby observations with a squared error smaller than this threshold should be kept and observations with a squared error larger than this value should be removed ( i. e., as an outlier ). because peirce's criterion does not take obs...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematical optimization, the perturbation function is any function which relates to primal and dual problems. the name comes from the fact that any such function defines a perturbation of the initial problem. in many cases this takes the form of shifting the constraints. in some texts the value function is called ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the following example, the four bytes represent a klv set where the key is one byte, the length field is one byte ( or possibly ber - you cannot tell from the example ), and the value is two bytes : a zero and a three. in your application you would have previously agreed to a ) use one - byte keys and b ) use one - ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the united states, biomedical research containing human subjects is governed by a baseline standard of ethics known as the common rule, which aims to protect a subject's privacy by requiring " identifiers " such as name or address to be removed from collected data. a 2012 report by the presidential commission for th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
f ( x x ) ). { \ displaystyle { \ textsf { y } } = \ lambda f. \ ( \ lambda x. f \ ( x \ x ) ) \ ( \ lambda x. f \ ( x \ x ) ) \. } : 131 in functional programming, the y combinator can be used to formally define recursive functions in a programming language that does not support recursion.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in number theory, fermat's last theorem ( sometimes called fermat's conjecture, especially in older texts ) states that no three positive integers a { \ displaystyle a }, b { \ displaystyle b }, and c { \ displaystyle c } can satisfy the equation a n + b n = c n { \ displaystyle a ^ { n } + b ^ { n } = c ^ { n } } for ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in static typing, all expressions have their types determined before a program executes, typically at compile - time. for example, 1 and ( 2 + 2 ) are integer expressions ; they cannot be passed to a function that expects a string or stored in a variable that is defined to hold dates. statically - typed languages can b...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in software development, a signal can mean synchronous events ( sequences of samples, video frames, etc., with constant sample rate or frame rate ) rather than asynchronous events, while the word event and data flow is often used for asynchronous event queues, but this is by no means universal. this language was create...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
those are the only two " tenses " in arabic ( not counting Ψ§Ω…Ψ± amr, command or imperative, which is traditionally considered as denoting future events. ) to explicitly mark aspect, arabic uses a variety of lexical and syntactic devices. contemporary arabic dialects are another matter.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the correspondence had been described, in a rather different form, much earlier by robinson ( robinson 1938 ), in an attempt to prove the littlewood – richardson rule. the correspondence is often referred to as the robinson – schensted algorithm, although the procedure used by robinson is radically different from the s...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the compartments are not described, though it is implied that each compartment is greater than the previous one and is joined based on one's merit. the first compartment is for jewish martyrs, the second for those who drowned, the third for " rabbi johanan ben zakkai and his disciples, " the fourth for those whom the c...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics, alternative hypothesis is often denoted as ha or h1. hypotheses are formulated to compare in a statistical hypothesis test. in the domain of inferential statistics two rival hypotheses can be compared by explanatory power and predictive power.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the concept of f - statistics was developed during the 1920s by the american geneticist sewall wright, who was interested in inbreeding in cattle. however, because complete dominance causes the phenotypes of homozygote dominants and heterozygotes to be the same, it was not until the advent of molecular genetics from th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the japanese kantenji braille, the standard 8 - dot braille patterns 25678, 125678, 245678, and 1245678 are the patterns related to braille pattern dots - 13456, since the two additional dots of kantenji patterns 013456, 134567, and 0134567 are placed above the base 6 - dot cell, instead of below, as in standard 8 -...
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. bob proceeds to generate a string of random bits b β€² { \ displaystyle b'} of the same length as b { \ displaystyle b }, and uses those bits for his choice of basis when...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, the max – min inequality is as follows : for any function f : z Γ— w β†’ r, { \ displaystyle \ f : z \ times w \ to \ mathbb { r } \, } sup z ∈ z inf w ∈ w f ( z, w ) ≀ inf w ∈ w sup z ∈ z f ( z, w ). { \ displaystyle \ sup _ { z \ in z } \ inf _ { w \ in w } f ( z, w ) \ leq \ inf _ { w \ in w } \ sup _ {...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus