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in mathematics, an initial algebra is an initial object in the category of f - algebras for a given endofunctor f. this initiality provides a general framework for induction and recursion. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the probability measure is then defined by the function : so the full probability space which defines a fair coin is the triplet ( Ο, f, p ) { \ displaystyle ( \ omega, { \ mathcal { f } }, p ) } as defined above. note that this is not a random variable because heads and tails don't have inherent numerical values like ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the generalized petersen graphs are non - strict unit distance graphs. an unsolved problem of paul erdos asks how many edges a unit distance graph on n { \ displaystyle n } vertices can have. the best known lower bound is slightly above linear in n { \ displaystyle n } β far from the upper bound, proportional to n 4 / ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
if different resulting states can occur, the selection of the respective resulting state can be modeled explicitly as a decision function using logical connectors. functions can be refined into another epc. in this case it is called a hierarchical function. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematical optimization, total dual integrality is a sufficient condition for the integrality of a polyhedron. thus, the optimization of a linear objective over the integral points of such a polyhedron can be done using techniques from linear programming. a linear system a x β€ b { \ displaystyle ax \ leq b }, wher... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in numerical analysis, the weierstrass method or durand β kerner method, discovered by karl weierstrass in 1891 and rediscovered independently by durand in 1960 and kerner in 1966, is a root - finding algorithm for solving polynomial equations. in other words, the method can be used to solve numerically the equation f ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in order to be executed by the system ( such as an operating system, firmware, or boot loader ), an executable file must conform to the system's application binary interface ( abi ). in simple interfaces, a file is executed by loading it into memory and jumping to the start of the address space and executing from there... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
whereas the sieve of eratosthenes marks off each non - prime for each of its prime factors, the sieve of pritchard avoids considering almost all non - prime numbers by building progressively larger wheels, which represent the pattern of numbers not divisible by any of the primes processed thus far. it thereby achieves ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in quantum information theory, a set of bases in hilbert space cd are are said to be mutually unbiased to mean, that, if a system is prepared in an eigen state of one of the bases, then all outcomes of the measurement with respect to the other basis are predicted to occur with an equal probability inexorably equal to 1... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in particular, the corestriction onto the image always exists and it is sometimes simply called the corestriction of f { \ displaystyle f }. more generally, one can consider corestriction of a morphism in general categories with images. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the column assignment shows an assignment of n before entering a subsequent step. this possibly induces a reassignment of the other nodes p, g, u also. if something has been changed by the case, this is shown in the column group after. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
however, in some cases, additional marks fulfil the role of diacritics, to differentiate distinct characters. such additional marks constitute glyphs. some characters such as " Γ¦ " in icelandic and the " Γ " in german may be regarded as glyphs. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in number theory, dixon's factorization method ( also dixon's random squares method or dixon's algorithm ) is a general - purpose integer factorization algorithm ; it is the prototypical factor base method. unlike for other factor base methods, its run - time bound comes with a rigorous proof that does not rely on conj... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in phonology, segments are categorized into natural classes on the basis of their distinctive features. each feature is a quality or characteristic of the natural class, such as voice or manner. a unique combination of features defines a phoneme. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in order theory, arbitrary meets can be expressed in terms of arbitrary joins and vice versa ( for details, see completeness ( order theory ) ). in effect, this means that it is sufficient to require the existence of either all meets or all joins to obtain the class of all complete lattices. as a consequence, some auth... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
m flag ( 1 bit ) 1 means more fragments follow ; 0 means last fragment. identification ( 32 bits ) packet identification value, generated by the source node. needed for reassembly of the original packet. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in phonetics, labiodentals are consonants articulated with the lower lip and the upper teeth. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the ims framework, it is required that once the callee is alerted, the chances of a session failure are minimum. an important source of failure is the inability to reserve network resources to support the session, so these resources should be allocated before the phone rings. however, in the ims, to reserve resource... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
hence r = s = β
. { \ displaystyle { \ mathcal { r } } \ neq { \ mathcal { s } } = \ emptyset \ ;. } | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics there is the concept of proof of impossibility referring to problems impossible to solve. the difference between this impossibility and that of the no - go theorems is : a proof of impossibility states a category of logical proposition that may never be true ; a no - go theorem instead presents a sequenc... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in most multiprocessor systems, each processor schedules and controls itself, therefore there's no " supervisor " processor, and kernel data structures are globally shared ; sections of code that access those shared data structures are critical sections. this design choice is made to improve scaling, reliability and mo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle + : =. } β
: =. { \ displaystyle \ cdot : =. } | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the chart below, the carian letter is given, followed by the transcription. where the transcription differs from ipa, the phonetic value is given in brackets. many carian phonemes were represented by multiple letter forms in various locations. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
sr shows that these concepts are all different aspects of the same physical quantity in much the same way that it shows space and time to be interrelated. consequently, another modification is the concept of the center of mass of a system, which is straightforward to define in classical mechanics but much less obvious ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the united kingdom a migration authorisation code ( mac ) was a 17 to 19 - character unique identifier code used by dsl customers when they wish to switch internet service provider ( isp ). a mac is generated by the actual telecommunication provider ( most commonly bt ), identifies the local loop ( telephone line ) ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
typically an algorithm which solves a problem in polylogarithmic time in the network size is considered efficient in this model. another commonly used measure is the total number of bits transmitted in the network ( cf. communication complexity ). the features of this concept are typically captured with the congest ( b... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for ill - structured problems, on the other hand, it is not clear what steps need to be taken, i. e. there is no clear formula that would lead to success if followed correctly. in this case, the solution may sometimes come in a flash of insight in which the problem is suddenly seen in a new light. another way to catego... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in structural complexity theory, the berman β hartmanis conjecture is an unsolved conjecture named after leonard c. berman and juris hartmanis that states that all np - complete languages look alike, in the sense that they can be related to each other by polynomial time isomorphisms. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the aerospace industry, equipment on - board aircraft must be tested in situ, or in place, to confirm everything functions properly as a system. individually, each piece may work but interference from nearby equipment may create unanticipated problems. special test equipment is available for this in situ testing. it... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
this enables training very deep recurrent neural networks with a very long time span t. a later lstm version published in 2000 modulates the identity lstm connections by so - called forget gates such that their weights are not fixed to 1. 0 but can be learned. in experiments, the forget gates were initialized with posi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
hypergraphs can be viewed as incidence structures. in particular, there is a bipartite " incidence graph " or " levi graph " corresponding to every hypergraph, and conversely, every bipartite graph can be regarded as the incidence graph of a hypergraph when it is 2 - colored and it is indicated which color class corres... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the 1980s, charles forgy developed a successor to the rete algorithm named rete ii. unlike the original rete ( which is public domain ) this algorithm was not disclosed. rete ii claims better performance for more complex problems ( even orders of magnitude ), and is officially implemented in clips / r2, a c / + + im... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the internet engineering task force, two working groups in the operations & maintenance area deal with aspects of performance. the interprovider performance measurement ( ippm ) group focuses, as its name would suggest, on operational measurement of services. performance measurements on single routers, or narrowly d... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
an alternative direction is to aggregate word embeddings, such as those returned by word2vec, into sentence embeddings. the most straightforward approach is to simply compute the average of word vectors, known as continuous bag - of - words ( cbow ). however, more elaborate solutions based on word vector quantization h... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in probability theory, a nonlinear expectation is a nonlinear generalization of the expectation. nonlinear expectations are useful in utility theory as they more closely match human behavior than traditional expectations. the common use of nonlinear expectations is in assessing risks under uncertainty. generally, nonli... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
more formally, a relatively well - defined usage refers to a conditional statement ( or a universal conditional statement ) with a false antecedent. one example of such a statement is " if tokyo is in france, then the eiffel tower is in bolivia ". such statements are considered vacuous truths, because the fact that the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in morphology, taxonomy and other descriptive disciplines in which a term for such shapes is necessary, terms such as trapezoidal or trapeziform commonly are useful in descriptions of particular organs or forms. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the case of semigroups, since the binary operation is required to satisfy only the associativity property the problem of classification is considered extremely difficult. descriptions of structures have been obtained for certain special classes of semigroups. for example, the structure of the sets of idempotents of ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in number theory, a gaussian integer is a complex number whose real and imaginary parts are both integers. the gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as z { \ displaystyle \ mathbf { z } } or z. { \ displaystyle \ mathbb { z }. } gaussia... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in probability theory, a poisson process is a stochastic process of which the simplest case involves " occurrences " at random times, the waiting time until the next occurrence having a memoryless exponential distribution, and the number of " occurrences " in any time interval having a poisson distribution whose expect... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in natural language processing, brown clustering or ibm clustering is a form of hierarchical clustering of words based on the contexts in which they occur, proposed by peter brown, william a. brown, vincent della pietra, peter de souza, jennifer lai, and robert mercer of ibm in the context of language modeling. the int... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the lehmer mean of a tuple x { \ displaystyle x } of positive real numbers, named after derrick henry lehmer, is defined as : l p ( x ) = k = 1 n x k p k = 1 n x k p β 1. { \ displaystyle l _ { p } ( \ mathbf { x } ) = { \ frac { \ sum _ { k = 1 } ^ { n } x _ { k } ^ { p } } { \ sum _ { k = 1 } ^ { n } ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
so while these ad - hoc manufacturer - specific solutions were effective, they were not standardized, and there were no provisions for providing interoperability. this drew the attention of the vesa consortium and resulted in a proposal for a voluntary and royalty - free local bus standard in 1992. an additional benefi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in regression analysis, it is also of interest to characterize the variation of the dependent variable around the regression function which can be described by a probability distribution. many techniques for carrying out regression analysis have been developed. familiar methods, such as linear regression, are parametri... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
then let f : x Γ y β r βͺ { + β } { \ displaystyle f : x \ times y \ to \ mathbb { r } \ cup \ { + \ infty \ } } be a perturbation function such that f ( x, 0 ) = f ( x ) { \ displaystyle f ( x, 0 ) = f ( x ) }. the duality gap is the difference given by inf x β x β sup y β β y β { \ displaystyle \ inf _ { x \ in x } - ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Ξ± = sup h β h 0 p ( test rejects h 0 h ). { \ displaystyle \ alpha = \ sup _ { h \ in h _ { 0 } } p ( { \ text { test rejects } } h _ { 0 } \ mid h ). } a test is said to have significance level Ξ± { \ displaystyle \ alpha } if its size is less than or equal to Ξ± { \ displaystyle \ alpha }. in many cases the size and le... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
code elements 4 and 5 are transmitted by keys 4 and 5, and these are operated by the first two fingers of the left hand. " baudot's code became known as the international telegraph alphabet no. 1 ( ita1 ). it is no longer used. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in numerical linear algebra, the cuthill β mckee algorithm ( cm ), named after elizabeth cuthill and james mckee, is an algorithm to permute a sparse matrix that has a symmetric sparsity pattern into a band matrix form with a small bandwidth. the reverse cuthill β mckee algorithm ( rcm ) due to alan george and joseph l... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in recursive implementations of d & c algorithms, one must make sure that there is sufficient memory allocated for the recursion stack, otherwise, the execution may fail because of stack overflow. d & c algorithms that are time - efficient often have relatively small recursion depth. for example, the quicksort algorith... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the fair cake - cutting problem, the partners often have different entitlements. for example, the resource may belong to two shareholders such that alice holds 8 / 13 and george holds 5 / 13. this leads to the criterion of weighted proportionality ( wpr ) : there are several weights w i { \ displaystyle w _ { i } } ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
using the load balancer, user can create systems that are responsive to user actions. apps in the cloud are run independently of each other. this allows multiple versions support of the same app and " soft migration " set up for moving users to updated versions of products. apps can be tested in the cloud by in an isol... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a common case of the aba problem is encountered when implementing a lock - free data structure. if an item is removed from the list, deleted, and then a new item is allocated and added to the list, it is common for the allocated object to be at the same location as the deleted object due to mru memory allocation. a poi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
with the advent of multicore architectures, network processors can be used for higher layer ( l4 - l7 ) processing. additionally, traffic management, which is a critical element in l2 - l3 network processing and used to be executed by a variety of co - processors, has become an integral part of the network processor ar... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
advances in lte and other technologies are rapidly improving the ability to transfer information over a wireless link at various combinations of speeds, distances, and non - line - of - sight conditions. " mobile service provisions " refers in part to the ability of subscribers to purchase mobile phone like services, a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the " reserves first " model of money creation, a given reserve is lent out by a bank, then deposited at a bank ( possibly different ), which is then lent out again, the process repeating and the ultimate result being a geometric series. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the 19th century, philologists devised a now classic classification of languages according to their morphology. some languages are isolating, and have little to no morphology ; others are agglutinative whose words tend to have many easily separable morphemes ( such as turkic languages ) ; others yet are inflectional... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics β specifically, in probability theory β the concentration dimension of a banach space - valued random variable is a numerical measure of how " spread out " the random variable is compared to the norm on the space. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the field of wi - fi ( wireless local area networks using the ieee 802. 11b and 802. 11g specification ), the term beacon signifies a specific data transmission from the wireless access point ( ap ), which carries the ssid, the channel number and security protocols such as wired equivalent privacy ( wep ) or wi - fi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistics and information geometry, statistical distances measure the degree of difference between two probability distributions. there are many kinds of statistical distances, typically formalized as divergences ; these allow a set of probability distributions to be understood as a geometrical object called a stat... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in proof theory, an area of mathematical logic, proof compression is the problem of algorithmically compressing formal proofs. the developed algorithms can be used to improve the proofs generated by automated theorem proving tools such as sat solvers, smt - solvers, first - order theorem provers and proof assistants. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
these systems, however, gave a very poor sound quality. the first microphone that enabled proper voice telephony was the ( loose - contact ) carbon microphone. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in sound, smartphones and feature phones vary little. some audio - quality enhancing features, such as voice over lte and hd voice, have appeared and are often available on newer smartphones. sound quality can remain a problem due to the design of the phone, the quality of the cellular network and compression algorithm... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the van der corput inequality is a corollary of the cauchy β schwarz inequality that is useful in the study of correlations among vectors, and hence random variables. it is also useful in the study of equidistributed sequences, for example in the weyl equidistribution estimate. loosely stated, the van d... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in practice, a large data set leads to a large k, and storing k may become a problem. one way to deal with this is to perform clustering on the dataset, and populate the kernel with the means of those clusters. since even this method may yield a relatively large k, it is common to compute only the top p eigenvalues and... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some models of phonology as well as morphophonology in the field of linguistics, the underlying representation ( ur ) or underlying form ( uf ) of a word or morpheme is the abstract form that a word or morpheme is postulated to have before any phonological rules have been applied to it. in contrast, a surface repres... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
+ 4! = 19. regardless of the parity of n, the last ( nth ) summand, n!, is given a positive sign, the ( n β 1 ) th summand is given a negative sign, and the signs of the lower - indexed summands are alternated accordingly. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
compilers were updated to take advantage of these instructions. the benefits of semantically rich instructions with compact encodings can be seen in modern processors as well, particularly in the high - performance segment where caches are a central component ( as opposed to most embedded systems ). this is because the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle fg = \ lambda ( f, g ) + \ lambda ( g, f ). } for any appropriate functions f { \ displaystyle f } and h { \ displaystyle h } with h ( 0 ) = 0 { \ displaystyle h ( 0 ) = 0 }, it is the case that h ( f ) = Ξ» ( f, h β² ( f ) ) { \ displaystyle h ( f ) = \ lambda ( f, h'( f ) ) }. it should satisfy some fo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in telecommunications, radio silence or emissions control ( emcon ) is a status in which all fixed or mobile radio stations in an area are asked to stop transmitting for safety or security reasons. the term " radio station " may include anything capable of transmitting a radio signal. a single ship, aircraft, spacecraf... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
our modified model requires us to add two more instructions to the 7 post β turing instructions. the abbreviations that we will use are : in the cases of r, l, e, p0, and p1 after doing its task the machine continues on to the next instruction in numerical sequence ; ditto for the jumps if their tests fail. but, for br... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in more technical terms, let us assume that we have a theory described by a certain function z { \ displaystyle z } of the state variables { s i } { \ displaystyle \ { s _ { i } \ } } and a certain set of coupling constants { j k } { \ displaystyle \ { j _ { k } \ } }. this function may be a partition function, an acti... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
on the other hand, an outcome of | Ο 11 β© { \ displaystyle | \ psi _ { 11 } \ rangle } cannot possibly be observed from a qubit in state | Ο 01 β© { \ displaystyle | \ psi _ { 01 } \ rangle }. thus in the case that bob measures in the hadamard basis and observes state | Ο 11 β© { \ displaystyle | \ psi _ { 11 } \ rangle ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
nelder ( 1990 ) described continuous counts, continuous ratios, count ratios, and categorical modes of data. see also chrisman ( 1998 ), van den berg ( 1991 ). the issue of whether or not it is appropriate to apply different kinds of statistical methods to data obtained from different kinds of measurement procedures is... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
sprint reviews can be seen as a powerful method to improve external correspondence whilst they help to share data about the features and prerequisite conditions between partners or stakeholders. agile practices also assist in building trust between various teams associated with the process by stimulating consistent com... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the multiplication axiom for integers defined this way is ( x p, x m ) Γ ( y p, y m ) = ( x p Γ y p + x m Γ y m, x p Γ y m + x m Γ y p ). { \ displaystyle ( x _ { p }, \, x _ { m } ) \ times ( y _ { p }, \, y _ { m } ) = ( x _ { p } \ times y _ { p } + x _ { m } \ times y _ { m }, \ ; x _ { p } \ times y _ { m } + x _ ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a hash table to keep track of already defined pairs. this table is updated each time a new pair is created or removed. since the hash table and the priority queue refer to the same elements ( pairs ), they can be implemented by a common data structure called pair with pointers for the hash table ( h _ next ) and the pr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, an embedding ( or imbedding ) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup. when some object x { \ displaystyle x } is said to be embedded in another object y { \ displaystyle y }, the embedding is given by some injective and struct... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
timestamps and vector clocks are often used to detect concurrency between updates. some people use " first writer wins " in situations where " last writer wins " is unacceptable. reconciliation of concurrent writes must occur sometime before the next read, and can be scheduled at different instants : read repair : the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in most philosophical languages, words are constructed from a limited set of morphemes that are treated as " elemental " or " fundamental ". " philosophical language " is sometimes used synonymously with " taxonomic language ". vocabularies of oligosynthetic languages are made of compound words, which are coined from a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the super - logarithm is one of the two inverse functions of tetration. just as exponentiation has two inverse functions, roots and logarithms, tetration has two inverse functions, super - roots and super - logarithms. there are several ways of interpreting super - logarithms : as the abel function of e... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
it can respond to people touching it. it's very satisfying, although we obviously have a long way to go yet. " in his opinion, it may be possible to build an android that is indistinguishable from a human, at least during a brief encounter. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle f ( x ) \ cdot g ( x ) = \ sum _ { k = 0 } ^ { \ infty } \ left ( \ sum _ { i = 0 } ^ { k } a _ { i } b _ { k - i } \ right ) x ^ { k }. } in particular, we write f 2 = f ( x ) β
f ( x ) { \ displaystyle f ^ { 2 } = f ( x ) \ cdot f ( x ) }, f 3 = f ( x ) β
f ( x ) β
f ( x ) { \ displaystyle f ^ { 3 } ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
they help to describe frequency ratios of musical intervals, appear in formulas counting prime numbers or approximating factorials, inform some models in psychophysics, and can aid in forensic accounting. the concept of logarithm as the inverse of exponentiation extends to other mathematical structures as well. however... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, a directed set ( or a directed preorder or a filtered set ) is a nonempty set a { \ displaystyle a } together with a reflexive and transitive binary relation β€ { \ displaystyle \, \ leq \, } ( that is, a preorder ), with the additional property that every pair of elements has an upper bound. in other wo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, and more specifically in order theory, several different types of ordered set have been studied. they include : cyclic orders, orderings in which triples of elements are either clockwise or counterclockwise lattices, partial orders in which each pair of elements has a greatest lower bound and a least up... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in particular, given a graph g { \ displaystyle g } and a specific community partition Ο : v ( g ) β { 1,..., b } { \ displaystyle \ sigma : v ( g ) \ rightarrow \ { 1,..., b \ } } ( an assignment of a community - index Ο ( v ) { \ displaystyle \ sigma ( v ) } ( here taken as an integer from 1 { \ displaystyle 1 } to b... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in telecommunication, bipolar encoding is a type of return - to - zero ( rz ) line code, where two nonzero values are used, so that the three values are +, β, and zero. such a signal is called a duobinary signal. standard bipolar encodings are designed to be dc - balanced, spending equal amounts of time in the + and β ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle f _ { x, y } ( x, y ) = f _ { x } ( x ) f _ { y } ( y ). } that is, the joint distribution is equal to the product of the marginal distributions. unless it is not clear in context, in practice the modifier " mutual " is usually dropped so that independence means mutual independence. a statement such as... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
other types of grammatical features, by contrast, may be relevant to semantics ( morphosemantic features ), such as tense, aspect and mood, or may only be relevant to morphology ( morphological features ). inflectional class ( a word's membership of a particular verb class or noun class ) is a purely morphological feat... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in symbolic logic, the universal quantifier symbol { \ displaystyle \ forall } ( a turned " a " in a sans - serif font, unicode u + 2200 ) is used to indicate universal quantification. it was first used in this way by gerhard gentzen in 1935, by analogy with giuseppe peano's { \ displaystyle \ exists } ( turned e ) not... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for example : an isometry is an isomorphism of metric spaces. a homeomorphism is an isomorphism of topological spaces. a diffeomorphism is an isomorphism of spaces equipped with a differential structure, typically differentiable manifolds. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a variety of these ways have been triedfor storing objects in a database. some products have approached the problem from the application programming end, by making the objects manipulated by the program persistent. this typically requires the addition of some kind of query language, since conventional programming langu... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in sparse direct solvers, pivoting may be needed, where ultimately the resulting matrix has 2x2 blocks on the diagonal, rather than a working towards a completely pure llh cholesky decomposition for positive definite symmetric or hermitian systems. pivoting may result in unpredictable memory usage increases. for iterat... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the context of the ttf a testing tactic is a means to partition any test class of any operation. however, some of the testing tactics used in practice actually do not always generate a partition of some test classes. some testing tactics originally proposed for the ttf are the following : disjunctive normal form ( d... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the formal language of first - order logic, set a { \ displaystyle a } has the property of being inhabited if z. ( z β a ). { \ displaystyle \ exists z. ( z \ in a ). } | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some countries, text messages can be used to contact emergency services. in the uk, text messages can be used to call emergency services only after registering with the emergency sms service. this service is primarily aimed at people who, because of disability, are unable to make a voice call. it has recently been p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
( indeed, the lower bound is easy to see : the multiset containing n β 1 copies of 0 and n β 1 copies of 1 contains no n - subset summing to a multiple of n. ) this result is known as the erdos β ginzburg β ziv theorem after its discoverers. it may also be deduced from the cauchy β davenport theorem. more general resul... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
if the bottom type is inhabited, its terms typically correspond to error conditions such as undefined behavior, infinite recursion, or unrecoverable errors. in bounded quantification with bottom, pierce says that " bot " has many uses : in a language with exceptions, a natural type for the raise construct is raise β ex... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the transition at np = 1 from giant component to small component has analogs for these graphs, but for lattices the transition point is difficult to determine. physicists often refer to study of the complete graph as a mean field theory. thus the erdos β renyi process is the mean - field case of percolation. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
bloomfield's " sign base " morpheme hypothesis : as morphemes, they are dualistic signs, since they have both ( phonological ) form and meaning. bloomfield's " lexical morpheme " hypothesis : morphemes, affixes and roots alike are stored in the lexicon. morpheme - based morphology comes in two flavours, one bloomfieldi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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