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in the configuration model, a giant component ( gc ) exists if ⟨ k 2 ⟩ βˆ’ 2 ⟨ k ⟩ > 0, { \ displaystyle \ langle k ^ { 2 } \ rangle - 2 \ langle k \ rangle > 0, } where ⟨ k ⟩ { \ displaystyle \ langle k \ rangle } and ⟨ k 2 ⟩ { \ displaystyle \ langle k ^ { 2 } \ rangle } are the first and second moments of the degree d...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the early 19th century, carl friedrich gauss observed that non - zero integer solutions to homogeneous polynomial equations with rational coefficients exist if non - zero rational solutions exist. in the 1850s, leopold kronecker formulated the kronecker – weber theorem, introduced the theory of divisors, and made nu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the field of computer science, a pre - topological order or pre - topological ordering of a directed graph is a linear ordering of its vertices such that if there is a directed path from vertex u to vertex v and v comes before u in the ordering, then there is also a directed path from vertex v to vertex u. if the gr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
however, this case is easy to detect and correct. with the modulus out of the way, the asymptotic complexity of the algorithm only depends on the multiplication algorithm used to square s at each step. the simple " grade - school " algorithm for multiplication requires o ( p2 ) bit - level or word - level operations to...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the early days of telegraphy and radiotelegraphy, individual countries, and sometimes individual states, sometimes set their own regulations. for example, in the period around 1909, california required that " messages must, if practicable, be transmitted immediately on and in order of receipt ; if not practicable, t...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
performing this calculation in any software that used the floating - point coprocessor, such as windows calculator, would allow users to discover whether their pentium chip was affected. the correct value of the calculation is : when converted to the hexadecimal value used by the processor, 4, 195, 835 = 0x4005fb and 3...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, in particular in computational algebra, the berlekamp – zassenhaus algorithm is an algorithm for factoring polynomials over the integers, named after elwyn berlekamp and hans zassenhaus. as a consequence of gauss's lemma, this amounts to solving the problem also over the rationals. the algorithm starts ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
every ( conditional ) line has zero or more asserted propositions on the right. in other words, natural deduction and sequent calculus systems are particular distinct kinds of gentzen - style systems. hilbert - style systems typically have a very small number of inference rules, relying more on sets of axioms. gentzen ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
that is, the mapping information exists as set and it has a pair for each element in the domain. of course for any set from some class, there is always the unique element of the singleton 1 { \ displaystyle 1 }, and so merely a chosen range being a set does not suffice to be granted a function set. in summary, in the s...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 1980s, plantronics created a line of cordless products using infrared technology. though the technology utilized was the same one being used by television remote controls, the link did not require a federal communications commission ( fcc ) telecommunications approval. one of the first products used the infrared...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics and statistics, random projection is a technique used to reduce the dimensionality of a set of points which lie in euclidean space. random projection methods are known for their power, simplicity, and low error rates when compared to other methods. according to experimental results, random projection pre...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
when the system is described by a matrix rather than a vector, this problem can be written as min x β€– a x βˆ’ y β€– 2 + Ξ» β€– x β€– 2, { \ displaystyle \ min _ { x } \ | ax - y \ | ^ { 2 } + \ lambda \ | x \ | ^ { 2 }, } where the vector norm enforcing a regularization penalty on x { \ displaystyle x } has been extended to a m...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, the gauss – kuzmin distribution is a discrete probability distribution that arises as the limit probability distribution of the coefficients in the continued fraction expansion of a random variable uniformly distributed in ( 0, 1 ). the distribution is named after carl friedrich gauss, who derived it ar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in probability theory, slutsky ’ s theorem extends some properties of algebraic operations on convergent sequences of real numbers to sequences of random variables. the theorem was named after eugen slutsky. slutsky's theorem is also attributed to harald cramer.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
{ \ displaystyle e \ cdot e = e. } the similarly defined trivial monoid is also a group since its only element is its own inverse, and is hence the same as the trivial group. the trivial group is distinct from the empty set, which has no elements, hence lacks an identity element, and so cannot be a group.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics and especially game theory, the airport problem is a type of fair division problem in which it is decided how to distribute the cost of an airport runway among different players who need runways of different lengths. the problem was introduced by s. c. littlechild and g. owen in 1973. their proposed solu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the fields of computational linguistics and natural language processing ( nlp ), esp. corpus linguistics and machine - learned nlp, it is common to disregard hapax legomena ( and sometimes other infrequent words ), as they are likely to have little value for computational techniques. this disregard has the added ben...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mobile telecommunications, inter - cell interference coordination ( icic ) techniques apply restrictions to the radio resource management ( rrm ) block, improving favorable channel conditions across subsets of users that are severely impacted by the interference, and thus attaining high spectral efficiency. this coo...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in some cases, a file system may not make use of a storage device but can be used to organize and represent access to any data, whether it is stored or dynamically generated ( e. g. procfs ).
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the first step, messages are passed inwards : starting at the leaves, each node passes a message along the ( unique ) edge towards the root node. the tree structure guarantees that it is possible to obtain messages from all other adjoining nodes before passing the message on. this continues until the root has obtain...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this can also be seen as a methodology for writing and structuring large theories : start with a theory, t 0 { \ displaystyle t _ { 0 } }, that is known ( or assumed ) to be consistent, and successively build conservative extensions t 1 { \ displaystyle t _ { 1 } }, t 2 { \ displaystyle t _ { 2 } },... of it. recently,...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in some models ( standard linear regression, in particular ), the equations for each of the data points i = 1,..., n are stacked together and written in vector form as y = x Ξ² + Ξ΅, { \ displaystyle \ mathbf { y } = \ mathbf { x } { \ boldsymbol { \ beta } } + { \ boldsymbol { \ varepsilon } }, \, } where y = ( y 1 y 2 ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the independent variables.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in multi - exponential fitting, the time - resolved curves are fitted with an exponential decay model to determine the decay constants. while this method is straightforward, it has low accuracy.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
although named after joseph - louis lagrange, who published it in 1795, the method was first discovered in 1779 by edward waring. it is also an easy consequence of a formula published in 1783 by leonhard euler. uses of lagrange polynomials include the newton – cotes method of numerical integration, shamir's secret shar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in signal processing, multidimensional signal processing covers all signal processing done using multidimensional signals and systems. while multidimensional signal processing is a subset of signal processing, it is unique in the sense that it deals specifically with data that can only be adequately detailed using more...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics and natural language processing, a topic model is a type of statistical model for discovering the abstract " topics " that occur in a collection of documents. topic modeling is a frequently used text - mining tool for discovery of hidden semantic structures in a text body. intuitively, given that a docume...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, the hamiltonian cycle polynomial of an nΓ—n - matrix is a polynomial in its entries, defined as ham ( a ) = Οƒ ∈ h n i = 1 n a i, Οƒ ( i ) { \ displaystyle \ operatorname { ham } ( a ) = \ sum _ { \ sigma \ in h _ { n } } \ prod _ { i = 1 } ^ { n } a _ { i, \ sigma ( i ) } } where h n { \ displaystyle h _ ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics, a k - th percentile, also known as percentile score or centile, is a score below which a given percentage k of scores in its frequency distribution falls ( " exclusive " definition ) or a score at or below which a given percentage falls ( " inclusive " definition ). percentiles are expressed in the same ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the improvements included magnetic ( non - mercury ) core memory of 2000 to 10000 words, uniservo ii tape drives, which could use either the old univac i metal tapes or the new pet film tapes, and some circuits that were transistorized ( although it was still a vacuum - tube computer ). it was fully compatible with exi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
x { \ displaystyle \ exists! x } means " there exists exactly one x ". in any case ( for any function ), the following holds : x ∈ x,! y ∈ y such that y = f ( x ). { \ displaystyle \ forall x \ in x, \ exists! y \ in y { \ text { such that } } y = f ( x ). } an injective function need not be surjective ( not all elemen...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in phonetics, a tilde is used as a diacritic that is placed above a letter, below it or superimposed onto the middle of it : a tilde above a letter indicates nasalization, e. g.,. a tilde superimposed onto the middle of a letter indicates velarization or pharyngealization, e. g.,. if no precomposed unicode character ex...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in proof theory, a branch of mathematical logic, proof mining ( or proof unwinding ) is a research program that studies or analyzes formalized proofs, especially in analysis, to obtain explicit bounds, ranges or rates of convergence from proofs that, when expressed in natural language, appear to be nonconstructive. thi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in 2015, the ietf upgraded its weak " informational " recommendation of 1998, that datagram switching nodes perform active queue management ( aqm ), to make it a stronger and more detailed " best current practice " recommendation. while the initial datagram queueing model was simple to implement and needed no more tuni...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
that is, for any property p ( k ) { \ displaystyle p ( k ) } of the integer k { \ displaystyle k }, one can rewrite the restricted sum k : p ( k ) f ( k ) { \ displaystyle \ sum _ { k : p ( k ) } f ( k ) } in the unrestricted form k f ( k ) β‹… { \ displaystyle \ sum _ { k } f ( k ) \ cdot }. with this convention, f ( k ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this was demonstrated more formally and in greater detail by xavier defago, et al. a fundamental result in distributed computing is that achieving consensus in asynchronous systems in which even one crash failure can occur is impossible in the most general case. this was shown in 1985 by michael j. fischer, nancy lynch...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
thus, the inventory is grouped into three categories ( a, b, and c ) in order of their estimated importance.'a'items are very important for an organization.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the case of queries that read data from the database, the sparql language specifies four different query variations for different purposes. select query used to extract raw values from a sparql endpoint, the results are returned in a table format. construct query used to extract information from the sparql endpoint ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the commodore 64 used x5c ( ascii : \ ) while the oric used x5f ( ascii : _ ). ibm's ebcdic code page 037 uses xb1 for the Β£ while its code page 285 uses x5b. icl's 1900 - series mainframes used a six - bit ( 64 - position character set ) encoding for characters, loosely based on bs 4730, with the Β£ symbol represented ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
r is the perpendicular distance between the rotational axis and the farthest point in the section ( at the outer surface ). β„“ is the length of the object to or over which the torque is being applied. Ο† ( phi ) is the angle of twist in radians. g is the shear modulus, also called the modulus of rigidity, and is usually ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, the jessen – wintner theorem, introduced by jessen and wintner ( 1935 ), asserts that a random variable of jessen – wintner type, meaning the sum of an almost surely convergent series of independent discrete random variables, is of pure type.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the celtic languages there is a distinction between the so - called substantive verb, used when the predicate is an adjective phrase or prepositional phrase, and the so - called copula, used when the predicate is a noun. the conjugation of the old irish and middle welsh verbs is as follows : the forms of the old iri...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in musical tuning theory, a pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. for instance, the perfect fifth with ratio 3 / 2 ( equivalent to 31 / 21 ) and the perfect fourth with ratio 4 / 3 ( equivalent to 22 / 31 ) are pythagorean i...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in probability theory, a normalizing constant is a constant by which an everywhere non - negative function must be multiplied so the area under its graph is 1, e. g., to make it a probability density function or a probability mass function.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics and machine learning, double descent is the phenomenon where a statistical model with a small number of parameters and a model with an extremely large number of parameters have a small error, but a model whose number of parameters is about the same as the number of data points used to train the model will...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
19. specifying a series of logical operators or inferential system which captures all or most cases to which the concept applies ( algorithm ). 20.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematical statistics, the fisher information ( sometimes simply called information ) is a way of measuring the amount of information that an observable random variable x carries about an unknown parameter ΞΈ of a distribution that models x. formally, it is the variance of the score, or the expected value of the ob...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
a sticking knife scores points. the thrower must be standing at least a set distance away from the target, with higher distances for more challenging events. ikthof keeps a ranking of its members based on their performance during these sponsored competitions. eurothrowers maintains a register of the world records, and ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in terms of sieve theory the turan sieve is of combinatorial type : deriving from a rudimentary form of the inclusion – exclusion principle. the result gives an upper bound for the size of the sifted set. let a be a set of positive integers ≀ x and let p be a set of primes. for each p in p, let ap denote the set of ele...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunication, the term means a record of both completed and attempted accesses and service, or data forming a logical path linking a sequence of events, used to trace the transactions that have affected the contents of a record. in information or communications security, information audit means a chronological ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this choice is motivated by their status as the driving force behind the development of algebraic number theory. since the late nineteenth century, binary quadratic forms have given up their preeminence in algebraic number theory to quadratic and more general number fields, but advances specific to binary quadratic for...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in nonstandard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part. a hyperinteger may be either finite or infinite. a finite hyperinteger is an ordinary integer. an example of an infinite hyperinteger is given by the class of the sequence ( 1, 2, 3,... ) in the ultrapower constructio...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
scarf's fixed - point method was a break - through in the mathematics of computation generally, and specifically in optimization and computational economics. later researchers continued to develop iterative methods for computing fixed - points, both for topological models like scarf's and for models described by functi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the early days of computational discourse, the study of discourse relations was closely entangled with the study of discourse structure, so that theories such as rst and sdrt effectively postulate tree structures. ( sdrt permits relations between independent nodes in a tree, but the tree still defines accessibility ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in systems design, a fail - fast system is one which immediately reports at its interface any condition that is likely to indicate a failure. fail - fast systems are usually designed to stop normal operation rather than attempt to continue a possibly flawed process. such designs often check the system's state at severa...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
although the pigeonhole principle appears as early as 1624 in a book attributed to jean leurechon, it is commonly called dirichlet's box principle or dirichlet's drawer principle after an 1834 treatment of the principle by peter gustav lejeune dirichlet under the name schubfachprinzip ( " drawer principle " or " shelf ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in some covering problems, the covering should satisfy some additional requirements. in particular, in the rainbow covering problem, each of the original objects has a " color ", and it is required that the covering contains exactly one ( or at most one ) object of each color. rainbow covering was studied e. g. for cov...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in some theories of formal semantics, including david dowty's, stative verbs have a logical form that is the lambda expression Ξ» ( x ) : { \ displaystyle \ lambda ( x ) : \ } apart from dowty, z. vendler and c. s. smith have also written influential work on aspectual classification of verbs.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunications, bit inversion means the changing of the state of a bit to the opposite state, i. e. the changing of a 0 bit to 1 or of a 1 bit to 0. it also refers to the changing of a state representing a given bit to the opposite state. source : federal standard 1037c and mil - std - 188
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
if they have the representation i ≑ ⟨ f 1, …, f p ⟩ { \ displaystyle i \ equiv \ langle f _ { 1 }, \ ldots, f _ { p } \ rangle } and j ≑ ⟨ g 1, …, g q ⟩, { \ displaystyle j \ equiv \ langle g _ { 1 }, \ ldots, g _ { q } \ rangle, } f i { \ displaystyle f _ { i } }, g j ∈ d { \ displaystyle g _ { j } \ in { \ mathcal { ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a logical matrix may be described as d - disjunct and / or d - separable. these concepts play a pivotal role in the mathematical area of non - adaptive group testing. in the mathematical literature, d - disjunct matrices may also be called super - imposed codes or d - cover - free families. according to...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in order to ensure that cdss are of high quality, multiple quality assurance ( qa ) tests are performed ( table 1 ). all tests are performed following the annotation comparison step of each ccds build and are independent of individual annotation group qa tests performed prior to the annotation comparison. annotations t...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the statement has a short proof in a more powerful system : in fact the proof given in the previous paragraph is a proof in the system of peano arithmetic plus the statement " peano arithmetic is consistent " ( which, per the incompleteness theorem, cannot be proved in peano arithmetic ). in this argument, peano arithm...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the simulation presumed a complete graph with random relations having a random unbalanced triad selected for transformation. the evolution of the signed graph with n nodes under this process is studied and simulated to describe the stationary density of friendly links. balance theory has been severely challenged, espec...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a twisted polynomial is a polynomial over a field of characteristic p { \ displaystyle p } in the variable Ο„ { \ displaystyle \ tau } representing the frobenius map x ↦ x p { \ displaystyle x \ mapsto x ^ { p } }. in contrast to normal polynomials, multiplication of these polynomials is not commutative,...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this is famous as the molloy - reed criterion. the intuition behind this criterion is that if the giant component ( gc ) exists, then the average degree of a randomly chosen vertex i { \ displaystyle i } in a connected component should be at least 2. molloy - reed criterion can also be expressed as : i k i ( k i βˆ’ 2 ) ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
" having arisen from the fields of knowledge representation, description logic and formal ontology, semantic web languages have a closer relationship to philosophical ontology than do conventional programming languages such as java or python. accordingly, the nature of metaclasses is informed by philosophical notions s...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in metadata, a vocabulary - based transformation ( vbt ) is a transformation aided by the use of a semantic equivalence statements within a controlled vocabulary. many organizations today require communication between two or more computers. although many standards exist to exchange data between computers such as html o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in order to sterilize items effectively, it is important to use optimal parameters when running an autoclave cycle. a 2017 study performed by the johns hopkins hospital biocontainment unit tested the ability of pass - through autoclaves to decontaminate loads of simulated biomedical waste when run on the factory defaul...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, 0. 999... ( also written as 0. 9 or 0.. 9 ) denotes the repeating decimal consisting of an unending sequence of 9s after the decimal point. this repeating decimal represents the smallest number no less than every decimal number in the sequence ( 0. 9, 0. 99, 0. 999,... ) ; that is, the supremum of this ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, property b is a certain set theoretic property. formally, given a finite set x, a collection c of subsets of x has property b if we can partition x into two disjoint subsets y and z such that every set in c meets both y and z. the property gets its name from mathematician felix bernstein, who first intr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
otherwise, the jurisdiction must vote to update its code and bring its inspectors up to date on the changes being made to the code. most jurisdictions update their codes regularly to avoid backlash from architects and building contractors who respond to outdated codes by seeking variances to permit the use of more effi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in terrestrial radio and television broadcasting, centralcasting refers to the use of systems automation by which customised signals for broadcast by multiple individual stations may be created at one central facility.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
hartmanis'model – quite similar to melzak's ( 1961 ) model – uses two and three - register adds and subtracts and two parameter copies ; cook and reckhow's model reduce the number of parameters ( registers called out in the program instructions ) to one call - out by use of an accumulator " ac ". the solution in a nuts...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the japanese kantenji braille, the standard 8 - dot braille patterns 3578, 13578, 34578, and 134578 are the patterns related to braille pattern dots - 2346, since the two additional dots of kantenji patterns 02346, 23467, and 023467 are placed above the base 6 - dot cell, instead of below, as in standard 8 - dot bra...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
femtocells are an alternative way to deliver the benefits of fixed – mobile convergence ( fmc ). the distinction is that most fmc architectures require a new dual - mode handset which works with existing unlicensed spectrum home / enterprise wireless access points, while a femtocell - based deployment will work with ex...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, in particular functional analysis, the singular values, or s - numbers of a compact operator t : x β†’ y { \ displaystyle t : x \ rightarrow y } acting between hilbert spaces x { \ displaystyle x } and y { \ displaystyle y }, are the square roots of the ( necessarily non - negative ) eigenvalues of the se...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the course of time many network queueing disciplines have been developed. each of these provides specific reordering or dropping of network packets inside various transmit or receive buffers. queuing disciplines are commonly used as attempts to compensate for various networking conditions, like reducing the latency ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the diagrams, p is used for n ’ s parent, g for the grandparent, and u will denote n ’ s uncle. the diagrams show the parent node p as the left child of its parent g even though it is possible for p to be on either side. the sample code covers both possibilities by means of the side variable dir. n is the insertion ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this made it harder to interface other processors. upgrading to a more powerful processor would subtly change the timings, and timing restraints were not always tightly specified. nor were electrical parameters and physical dimensions.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in reality, initial exponential growth is often not sustained forever. after some period, it will be slowed by external or environmental factors. for example, population growth may reach an upper limit due to resource limitations. in 1845, the belgian mathematician pierre francois verhulst first proposed a mathematical...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the total time for his algorithm is o ( m log m ). for planar graphs with maximum degree Ξ΄ β‰₯ 7, the optimal number of colors is again exactly Ξ΄. with the stronger assumption that Ξ΄ β‰₯ 9, it is possible to find an optimal edge coloring in linear time ( cole & kowalik 2008 ). for d - regular graphs which are pseudo - rand...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the first rsa numbers generated, from rsa - 100 to rsa - 500, were labeled according to their number of decimal digits. later, beginning with rsa - 576, binary digits are counted instead. an exception to this is rsa - 617, which was created before the change in the numbering scheme. the numbers are listed in increasing...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in most cases, elm is used as a single hidden layer feedforward network ( slfn ) including but not limited to sigmoid networks, rbf networks, threshold networks, fuzzy inference networks, complex neural networks, wavelet networks, fourier transform, laplacian transform, etc. due to its different learning algorithm impl...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
ultimately, the consistency of all of mathematics could be reduced to basic arithmetic. godel's incompleteness theorems, published in 1931, showed that hilbert's program was unattainable for key areas of mathematics. in his first theorem, godel showed that any consistent system with a computable set of axioms which is ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
factorization may also refer to more general decompositions of a mathematical object into the product of smaller or simpler objects. for example, every function may be factored into the composition of a surjective function with an injective function. matrices possess many kinds of matrix factorizations. for example, ev...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, if a { \ displaystyle a } is a subset of b, { \ displaystyle b, } then the inclusion map ( also inclusion function, insertion, or canonical injection ) is the function ΞΉ { \ displaystyle \ iota } that sends each element x { \ displaystyle x } of a { \ displaystyle a } to x, { \ displaystyle x, } treated...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 2005 star trek : enterprise episode " the aenar ", it was used in the aenar city.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
one downside to the risc design was that the programs that run on them tend to be larger. this is because compilers must generate longer sequences of the simpler instructions to perform the same results. since these instructions must be loaded from memory anyway, the larger code offsets some of the risc design's fast m...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in psycholinguistics, semantic processing is the stage of language processing that occurs after one hears a word and encodes its meaning : the mind relates the word to other words with similar meanings. once a word is perceived, it is placed in a context mentally that allows for a deeper processing. therefore, semantic...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
2 ( 2 ). in computer science terms, programming in the large can refer to programming code that represents the high - level state transition logic of a system. this logic encodes information such as when to wait for messages, when to send messages, when to compensate for failed non - acid transactions, etc. a language ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
conversely, a group of participants can atomically broadcast messages by achieving consensus regarding the first message to be received, followed by achieving consensus on the next message, and so forth until all the messages have been received. thus, atomic broadcast reduces to consensus.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the northeast caucasian languages, such as tsez, the dative also takes the functions of the lative case in marking the direction of an action. by some linguists, they are still regarded as two separate cases in those languages, although the suffixes are exactly the same for both cases. other linguists list them sepa...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the early days of computing, cpu time was expensive, and peripherals were very slow. when the computer ran a program that needed access to a peripheral, the central processing unit ( cpu ) would have to stop executing program instructions while the peripheral processed the data. this was usually very inefficient. th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
these scores, based on a normal curve, are known as " scaled " scores. because of their grounding in this model, scaled mat scores of 500 - 600 are extremely rare, as they would be more than four standard deviations above the norm of 400.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the order of a hypergraph ( x, e ) { \ displaystyle ( x, e ) } is the number of vertices in x { \ displaystyle x }. the size of the hypergraph is the number of edges in e { \ displaystyle e }. the order of an edge e = ( d, c ) { \ displaystyle e = ( d, c ) } in a directed hypergraph is | e | = ( | d |, | c | ) { \ disp...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the new networks have higher download speeds, with a peak speed of 10 gigabits per second ( gbit / s ) when there is only one user in the network. 5g has higher bandwidth to deliver faster speeds than 4g and can thus connect more different devices, improving the quality of internet services in crowded areas. due to the...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
then, the distances between consecutive occurrences of the strings are likely to be multiples of the length of the keyword. thus finding more repeated strings narrows down the possible lengths of the keyword, since we can take the greatest common divisor of all the distances. the reason this test works is that if a rep...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
every surjective function has a right inverse assuming the axiom of choice, and every function with a right inverse is necessarily a surjection. the composition of surjective functions is always surjective. any function can be decomposed into a surjection and an injection.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
read before write, read after read and write before write ordering is still preserved in this model. the processor consistency model is similar to the pram consistency model with a stronger condition that defines all writes to the same memory location must be seen in the same sequential order by all other processes. pr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus