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In mathematical logic, the De Bruijn notation is a syntax for terms in the λ calculus invented by the Dutch mathematician Nicolaas Govert de Bruijn. It can be seen as a reversal of the usual syntax for the λ calculus where the argument in an application is placed next to its corresponding binder in the function instead... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In 1970, electronic parts were introduced, and the current black-coloured plates were changed to blue. The range of sets was reduced by one with the deletion of the old No. 9 set and the renumbering of the old No. 0 to 8 sets to No. 1 to 9. The No. 10 set remained unchanged. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
However, not every total recursive function is a primitive recursive function—the most famous example is the Ackermann function. Other equivalent classes of functions are the functions of lambda calculus and the functions that can be computed by Markov algorithms. The subset of all total recursive functions with values... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
So how does a state machine move an arbitrarily large constant directly into a register, e.g. MOVE (k, r) (Move constant k to register r)? If huge constants are necessary they must either start out in the registers themselves or be created by the state machine using a finite number of instructions e.g. multiply and add... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the United States, the 100-year flood provides the risk basis for flood insurance rates. Complete information on the National Flood Insurance Program (NFIP) is available here. A regulatory flood or base flood is routinely established for river reaches through a science-based rule-making process targeted to a 100-yea... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The difference of two Moser–de Bruijn numbers, multiplied by two, is never square. Every natural number can be formed in a unique way as the sum of a Moser–de Bruijn number and twice a Moser–de Bruijn number. This representation as a sum defines a one-to-one correspondence between integers and pairs of integers, listed... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The set of k-almost primes is usually denoted by Pk. The smallest k-almost prime is 2k. The first few k-almost primes are: The number πk(n) of positive integers less than or equal to n with exactly k prime divisors (not necessarily distinct) is asymptotic to: π k ( n ) ∼ ( n log n ) ( log log n ) k − 1 ( k − 1 ) ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Let Kp be a boolean variable which indicates whether p is a corner, then the entropy of Kp is used to measure the information of p being a corner. For a set of pixels Q, the total entropy of KQ (not normalized) is: H(Q) = ( c + n ) log2( c + n ) - clog2c - nlog2n where c = |{ i ∈ Q: Ki is true}| (number of corners) whe... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. The number 2p + 1 associated with a Sophie Germain prime is called a safe prime. For example, 11 is a Sophie Germain prime and 2 × 11 + 1 = 23 is its associated safe prime. Sophie Germain primes are named after French mathematician So... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The frame received on port B is then forwarded to ports A and C, the frame received on port C to ports A and B. So, the node on port A receives two copies of its own broadcast frame while the other two copies produced by the loop continue to cycle. Likewise, each broadcast frame entering the system continues to cycle t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, a strong prime is a prime number that is greater than the arithmetic mean of the nearest prime above and below (in other words, it's closer to the following than to the preceding prime). Or to put it algebraically, writing the sequence of prime numbers as (p1, p2, p3, ...) = (2, 3, 5, ...), pn is a st... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, specifically in control theory, subspace identification (SID) aims at identifying linear time invariant (LTI) state space models from input-output data. SID does not require that the user parametrizes the system matrices before solving a parametric optimization problem and, as a consequence, SID methods... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the R5RS standard and also in later reports, the syntax of Scheme can easily be extended via the macro system. The R5RS standard introduced a powerful hygienic macro system that allows the programmer to add new syntactic constructs to the language using a simple pattern matching sublanguage (R5RS sec 4.3). Prior to ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the context of computer science, semantics refers to the meaning behind programming language constructs, distinguishing it from their mere syntax, which is the arrangement of symbols and keywords. This concept is crucial for ensuring that code is not only correctly written in terms of syntax but also logically meani... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In server/client architectures, the program at the other side may not be an authorised client and the client's server may not be an authorised server. Even when they are, a man-in-the-middle attack could compromise communications. Often the easiest way to break the security of a client/server system is not to go head o... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the context of information science, an ontology is a formal representation of knowledge within a domain, using hierarchies of terms including their definitions, attributes, and relations. Ontologies provide a common terminology in a machine-readable framework that facilitates sharing and discovery of data. Having an... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In public-key cryptography and computer security, a root key ceremony is a procedure during which a unique pair of public and private root keys gets generated. Depending on the certificate policy, the generation of the root keys may require notarization, legal representation, witnesses, and "key holders" to be present,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 1967 Black Power, Stokely Carmichael introduces black nationalism. He illustrates the prosperity of the black race in the United States as being dependent on the implementation of black sovereignty. Under his theory, black nationalism in the United States would allow Blacks to socially, economically and politica... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This is the class of functions from A {\displaystyle A} to C {\displaystyle C} in a pure set theory. Below the notation x → y {\displaystyle x\to y} is also used for y x {\displaystyle y^{x}} , for the sake of distinguishing it from ordinal exponentiation. When functions are understood as just function graphs as above,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The trace 1 condition means ∑ j a j ∗ a j = 1. {\displaystyle \sum _{j}a_{j}^{*}a_{j}=1.} Let p i = a i ∗ a i , {\displaystyle p_{i}=a_{i}^{*}a_{i},} and vi be the normalized ai. We see that { p i , v i } {\displaystyle \left\{p_{i},v_{i}\right\}} gives the mixed state ρ. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a proof by infinite descent, also known as Fermat's method of descent, is a particular kind of proof by contradiction used to show that a statement cannot possibly hold for any number, by showing that if the statement were to hold for a number, then the same would be true for a smaller number, leading t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telecommunication networks, the transmission time is the amount of time from the beginning until the end of a message transmission. In the case of a digital message, it is the time from the first bit until the last bit of a message has left the transmitting node. The packet transmission time in seconds can be obtain... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In single-ended signalling, the transmitter generates a single voltage that the receiver compares with a fixed reference voltage, both relative to a common ground connection shared by both ends. In many instances, single-ended designs are not feasible. Another difficulty is the electromagnetic interference that can be ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In object-oriented programming, there is also the concept of a static member variable, which is a "class variable" of a statically defined class, i.e., a member variable of a given class which is shared across all instances (objects), and is accessible as a member variable of these objects. A class variable of a dynami... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical logic, a proof calculus or a proof system is built to prove statements. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the third quarter of 2006, at least 12 billion text messages were sent on AT&T's network, up almost 15% from the preceding quarter. In the U.S., while texting is mainly popular among people from 13–22 years old, it is also increasing among adults and business users. The age that a child receives his/her first cell p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The largest component has logarithmic size. The graph is a pseudoforest. Most of its components are trees: the number of vertices in components that have cycles grows more slowly than any unbounded function of the number of vertices. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Traversing this Eulerian trail generates an orientation D of G such that every point has indegree and outdegree = k. Next, replace every vertex v ϵ V(D) by two vertices v’ and v”, and replace every directed edge uv of the oriented graph by an undirected edge from u’ to v”. Since D has in- and outdegrees equal to k the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and electronics engineering, a binary Golay code is a type of linear error-correcting code used in digital communications. The binary Golay code, along with the ternary Golay code, has a particularly deep and interesting connection to the theory of finite sporadic groups in mathematics. These codes are n... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The model makes the assumption that customers have some idea of what they want and what the standard of the good or service should be. Models of sequential search have been used in many disciplines, including finance and labour economics. Sequential search models are used in labour economics to examine how employees lo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The symbol ( n k ) {\displaystyle {\tbinom {n}{k}}} is usually read as "n choose k" because there are ( n k ) {\displaystyle {\tbinom {n}{k}}} ways to choose an (unordered) subset of k elements from a fixed set of n elements. For example, there are ( 4 2 ) = 6 {\displaystyle {\tbinom {4}{2}}=6} ways to choose 2 element... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Flat addressing is possible by applying multiple instructions, which however leads to slower programs. The memory model concept derives from the setup of the segment registers. For example, in the tiny model CS=DS=SS, that is the program's code, data, and stack are all contained within a single 64 KB segment. In the sm... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
It will also not be perfectly aligned with the directions of the document, causing aliasing. Features smaller than the resolution will also not be reproduced. In addition, human vision is sensitive to luminance contrast ratio. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
... point is that one or two degrees is about the experience that we have had in the last 10,000 years, the era of human civilization. There haven't been—globally averaged, we're talking—fluctuations of more than a degree or so. So we're actually getting into uncharted territory from the point of view of the relativel... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In simple electromagnetic analysis (SEMA) attacks, the attacker deduces the key directly by observing the trace. It is very effective against asymmetric cryptography implementations. Typically, only a few traces are needed, though the attacker needs to have a strong understanding of the cryptographic device and of the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Then for any function f: A → B {\displaystyle f:A\to B} , the restriction f | S: S → B {\displaystyle f|_{S}:S\to B} of a function f {\displaystyle f} onto S {\displaystyle S} can be defined as the composition f | S = f ∘ i S {\displaystyle f|_{S}=f\circ i_{S}} . Analogously, for an inclusion i T: T ↪ B {\displaystyle ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to apply control theory tools to the analysis of behavior trees, they can be defined as three-tuple. T i = { f i , r i , Δ t } , {\displaystyle T_{i}=\{f_{i},r_{i},\Delta t\},} where i ∈ N {\displaystyle i\in \mathbb {N} } is the index of the tree, f i: R n → R n {\displaystyle f_{i}:\mathbb {R} ^{n}\rightarro... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Variants of the functional predicate definition using apartness relations on setoids have been defined as well. It is a metatheorem for theories containing B C S T {\displaystyle {\mathsf {BCST}}} that adding a function symbol for a provenly total class function is a conservative extension, despite this changing the sc... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, economics, and computer science, the stable matching polytope or stable marriage polytope is a convex polytope derived from the solutions to an instance of the stable matching problem. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a divisor of an integer n {\displaystyle n} , also called a factor of n {\displaystyle n} , is an integer m {\displaystyle m} that may be multiplied by some integer to produce n {\displaystyle n} . In this case, one also says that n {\displaystyle n} is a multiple of m . {\displaystyle m.} An integer n ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
We can further define a programming language in which we can ensure that even more sophisticated functions always halt. For example, the Ackermann function, which is not primitive recursive, nevertheless is a total computable function computable by a term rewriting system with a reduction ordering on its arguments (Ohl... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
}{\prod _{j=0}^{k}n_{j}!}}} If any q i = 0 {\displaystyle q_{i}=0} , then the vector q → {\displaystyle {\vec {q}}} is shared in common between orthants. Because of this, the multiplying factor on the permutation must be adjusted from 2 N {\displaystyle 2^{N}} to be 2 N − n 0 {\displaystyle 2^{N-n_{0}}} Multiplying the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
n 2 ! ⋅ ( N − n 1 − n 2 ) ! ( N − n 1 − n 2 − n 3 ) ! | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
If a = b, then b = a (symmetric). If a = b and b = c, then a = c (transitive). Each equivalence relation provides a partition of the underlying set into disjoint equivalence classes. Two elements of the given set are equivalent to each other if and only if they belong to the same equivalence class. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The original Highway Network paper not only introduced the basic principle for very deep feedforward networks, but also included experimental results with 20, 50, and 100 layers networks, and mentioned ongoing experiments with up to 900 layers. Networks with 50 or 100 layers had lower training error than their plain ne... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the context of his theory of numberings, Ershov showed that Kleene's recursion theorem holds for any precomplete numbering. A Gödel numbering is a precomplete numbering on the set of computable functions so the generalized theorem yields the Kleene recursion theorem as a special case.Given a precomplete numbering ν ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Apple's Garage Band even purveys digital music lessons using the very same iTunes account as used for the iOS App Store, they are all part of the same App Store. Electronic bookstores such as Kindle, Barnes and Noble or Kobo are further examples of successful electronic distribution using the App Store concept. For the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order for consistency in data to be maintained and to attain scalable processor systems where every processor has its own memory, the processor consistency model was derived. All processors need to be consistent in the order in which they see writes done by one processor and in the way they see writes by different p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Under the assumption of stationary statistics, at a given position, the normalized correlation function is g ( 2 ) = ⟨ E ^ − ( 0 ) E ^ − ( τ ) E ^ + ( τ ) E ^ + ( 0 ) ⟩ ⟨ E ^ − ( 0 ) E ^ + ( 0 ) ⟩ ⟨ E ^ − ( τ ) E ^ + ( τ ) ⟩ {\displaystyle g^{(2)}={\frac {\langle {\hat {E}}^{-}(0){\hat {E}}^{-}(\tau ){\hat {E}}^{+}(\ta... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
332, 149 S.E. 541 (1929). "In assessing statutory language, unless words have acquired a peculiar meaning, by virtue of statutory definition or judicial construction, they are to be construed in accordance with their common usage." | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
, {\displaystyle I(r,\lambda )=\sum _{y=r}^{\infty }{\frac {e^{-\lambda }\lambda ^{y}}{y! }},} where s is the integral part of r. The motivation given by Staff is that the ratio of successive probabilities in the Poisson distribution (that is P ( X = n ) / P ( X = n − 1 ) {\displaystyle P(X=n)/P(X=n-1)} ) is given by λ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This evolution has resulted in more complex and more flexible ICs being created. The newer circuits are programmable and thus allow a single hardware IC design to undertake a number of different functions, where the appropriate software is installed. Network processors are used in the manufacture of many different type... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Note that the mask constraint relates to the effects and not the causes like the other constraints. The graph's direction is as follows: Causes --> intermediate nodes --> Effects The graph can always be rearranged so there is only one node between any input and any output. See conjunctive normal form and disjunctive no... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a matrix factorization of a polynomial is a technique for factoring irreducible polynomials with matrices. David Eisenbud proved that every multivariate real-valued polynomial p without linear terms can be written as a AB = pI, where A and B are square matrices and I is the identity matrix. Given the po... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In regression, mean response (or expected response) and predicted response, also known as mean outcome (or expected outcome) and predicted outcome, are values of the dependent variable calculated from the regression parameters and a given value of the independent variable. The values of these two responses are the same... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical logic and computer science, a general recursive function, partial recursive function, or μ-recursive function is a partial function from natural numbers to natural numbers that is "computable" in an intuitive sense – as well as in a formal one. If the function is total, it is also called a total recursi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a nowhere commutative semigroup is a semigroup S such that, for all a and b in S, if ab = ba then a = b. A semigroup S is nowhere commutative if and only if any two elements of S are inverses of each other. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Some writers on probability call this the "conditional covariance formula" or use other names. Note: The conditional expected values E( X | Z ) and E( Y | Z ) are random variables whose values depend on the value of Z. Note that the conditional expected value of X given the event Z = z is a function of z. If we write E... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical analysis, in particular the subfields of convex analysis and optimization, a proper convex function is an extended real-valued convex function with a non-empty domain, that never takes on the value − ∞ {\displaystyle -\infty } and also is not identically equal to + ∞ . {\displaystyle +\infty .} In conve... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a subset R of the integers is called a reduced residue system modulo n if: gcd(r, n) = 1 for each r in R, R contains φ(n) elements, no two elements of R are congruent modulo n.Here φ denotes Euler's totient function. A reduced residue system modulo n can be formed from a complete residue system modulo n... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
However, when the code is inserted into a compiler, the compiler may ignore the Bidi char and process the characters in a different order than visually displayed. When the compiler is finished, it could potentially execute code that visually appeared to be non-executable. Formatting marks can be combined multiple times... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The ordinal series are based on ordinal numbers such as the English first, second, third (for numbers higher than 2, the ordinal forms are also used for fractions; only the fraction 1⁄2 has special forms). For the hundreds, there are competing forms: those in -gent-, from the original Latin, and those in -cent-, derive... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In memory errors, the faulting program accesses memory that it should not access. Examples include: Attempting to write to a read-only portion of memory Attempting to execute bytes in memory which are not designated as instructions Attempting to read as data bytes in memory which are designated as instructions Other mi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In packed BCD (or simply packed decimal), each nibble represent a decimal digit. Packed BCD has been in use since at least the 1960s and is implemented in all IBM mainframe hardware since then. Most implementations are big endian, i.e. with the more significant digit in the upper half of each byte, and with the leftmos... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In physics, the no-deleting theorem of quantum information theory is a no-go theorem which states that, in general, given two copies of some arbitrary quantum state, it is impossible to delete one of the copies. It is a time-reversed dual to the no-cloning theorem, which states that arbitrary states cannot be copied. T... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The idea originated with the Scottish physicist Alexander Crichton Mitchell, who was helped by the Royal Navy at HMS Tarlair. He had shown that the passage of a submarine past a cable formed an induction loop which induced a voltage of approximately a millivolt, detectable by a sensitive galvanometer. Voltages were als... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For example, while the word representation properly designates a group homomorphism from a group G to GL(V), where V is a vector space, it is common to call V "a representation of G". Another common abuse of language consists in identifying two mathematical objects that are different, but canonically isomorphic. Other ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
They are the with-carry analog of m-sequences or maximum length sequences. There are efficient algorithms for FCSR synthesis. This is the problem: given a prefix of a sequence, construct a minimal length FCSR that outputs the sequence. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, the Littlewood–Richardson rule is a combinatorial description of the coefficients that arise when decomposing a product of two Schur functions as a linear combination of other Schur functions. These coefficients are natural numbers, which the Littlewood–Richardson rule describes as counting certain skew... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory, Dudley's theorem is a result relating the expected upper bound and regularity properties of a Gaussian process to its entropy and covariance structure. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In some languages, including a number of Chinese varieties, many of the words that serve as prepositions can also be used as verbs. For instance, in Standard Chinese, 到 dào can be used in either a prepositional or a verbal sense: 我到北京去 wǒ dào Běijīng qù ("I go to Beijing"; qù, meaning "to go", is the main verb, dào is ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Although the general principles underlying binomial nomenclature are common to these two codes, there are some differences in the terminology they use and their particular rules. In modern usage, the first letter of the generic name is always capitalized in writing, while that of the specific epithet is not, even when ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
These kinds of contemporary features help gain citizen a new level of technology. Majority of space in the chip has been made available for the private sector to use for their products and services. It might appear expensive for the private sector to use this card initially but once the number of citizens having critic... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In multitasking computing an operating system can handle several programs, both native applications or emulated software, that are running independent, parallel, together in the same time in the same device, using separated or shared resources and/or data, executing their tasks separately or together, while a user can ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
When the value of a large quantity of items has a Zipf's law distribution, the total value of the n most-valuable items is proportional to the n-th harmonic number. This leads to a variety of surprising conclusions regarding the long tail and the theory of network value. The Bertrand-Chebyshev theorem implies that, exc... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, the Fréchet distance is a measure of similarity between curves that takes into account the location and ordering of the points along the curves. It is named after Maurice Fréchet. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, integer factorization is the decomposition, of a positive integer into a product of integers. If the factors are further restricted to be prime numbers, the process is called prime factorization, and includes the test whether the given integer is prime (in this case, one has a "product" of a single fa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The newly created package provided a standard collection of common numerical operations on top of the Numeric array data structure. Shortly thereafter, Fernando Pérez released IPython, an enhanced interactive shell widely used in the technical computing community, and John Hunter released the first version of Matplotli... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In sociology a social rule refers to any social convention commonly adhered to in a society. These rules are not written in law or otherwise formalized. In social constructionism there is a great focus on social rules. It is argued that these rules are socially constructed, that these rules act upon every member of a s... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801. A familiar use of modular ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The coefficient field is called the base field. If constructive and algorithmic methods are the main issue it is Q ( x , y ) {\displaystyle \mathbb {Q} (x,y)} . The respective ring of differential operators is denoted by D = Q ( x , y ) {\displaystyle {\mathcal {D}}=\mathbb {Q} (x,y)} or D = F {\displaystyle {\mathca... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The conditioning event is interpreted as evidence for the conditioned event. That is, P(A) is the probability of A before accounting for evidence E, and P(A|E) is the probability of A after having accounted for evidence E or after having updated P(A). This is consistent with the frequentist interpretation, which is the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Such strings may be translated into English by using "and", "while", "(in order) to" or other connectives, but some may have a more compact translation, as in the following example (from Hayao Miyazaki's Mononoke Hime) in which the actions of "following" and "coming" are simultaneous: The following sentence from Mandar... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the category of algebraic varieties, the product is given by the Segre embedding. In the category of semi-abelian monoids, the product is given by the history monoid. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical logic, the Hilbert–Bernays provability conditions, named after David Hilbert and Paul Bernays, are a set of requirements for formalized provability predicates in formal theories of arithmetic (Smith 2007:224). These conditions are used in many proofs of Kurt Gödel's second incompleteness theorem. They a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In several interesting cases, the functor G {\displaystyle G} is an inclusion of a full subcategory not admitting a left adjoint. For example, the codensity monad of the inclusion of FinSet into Set is the ultrafilter monad associating to any set M {\displaystyle M} the set of ultrafilters on M . {\displaystyle M.} Thi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Anagrams of words whose letters are different are also permutations: the letters are already ordered in the original word, and the anagram is a reordering of the letters. The study of permutations of finite sets is an important topic in the fields of combinatorics and group theory. Permutations are used in almost every... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The solution of eq. 108 has the form where la, ma, ρ, are arbitrary functions of coordinates x, y bound by condition eq. 110 derived from eq. 107. To find higher terms of this decomposition, it is convenient to write the matrix of required quantities γab in the form where the symbol ~ means matrix transposition. Matrix... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In most major handicapping systems, a golfer does not use their exact handicap (or handicap index) directly, but use it to produce their playing or course handicap. For some systems, this means simply rounding the exact handicap to the nearest whole number; however, systems that use slope ratings require a more complex... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
If tests are developed without an understanding of what the business considers to be an acceptable level of risk, it is possible to have a release candidate that passes all the available tests, but which the business leaders would not consider to be ready for release. For the test results to accurately indicate whether... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the field of statistical learning theory, matrix regularization generalizes notions of vector regularization to cases where the object to be learned is a matrix. The purpose of regularization is to enforce conditions, for example sparsity or smoothness, that can produce stable predictive functions. For example, in t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the NFS games Underground 2 to Carbon, the network (as Cingular) was shown as the mobile internet provider in the ingame voice/text message. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In matroid theory, a mathematical discipline, the girth of a matroid is the size of its smallest circuit or dependent set. The cogirth of a matroid is the girth of its dual matroid. Matroid girth generalizes the notion of the shortest cycle in a graph, the edge connectivity of a graph, Hall sets in bipartite graphs, ev... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Most mobile phone operators had charged for such calls previously, with Orange being the final major network to introduce such charges during December 2005. Certain helplines, such as those in the 0808 80x xxxx series had remained free from most networks on a voluntary basis and some niche operators, such as Giffgaff a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mechanical typewriters, the shift key functions by mechanically shifting some component so an alternate row of characters on typebars hits the paper. In an electronic system, by contrast, there is no necessary connection between the code points of unshifted and shifted values, though implementation is simpler if the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In practice, implementations of Optimality Theory often make use of many concepts of phonological theories of representations, such as the syllable, the mora, or feature geometry. Completely distinct from these, there are sub-theories which have been proposed entirely within Optimality Theory, such as positional faithf... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
If the tactic is applied to the second case, then the resulting partition can be considered as the standard partition for that operator. Stocks and Carrington in (Stocks & Carrington 1996) illustrate this situation with R ⊕ G = ( dom G ⋪ R ) ∪ G {\displaystyle R\oplus G=({\text{dom }}G\ntriangleleft R)\cup G} , where ⋪... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For example, a common weighting scheme consists in giving each neighbor a weight of 1/d, where d is the distance to the neighbor.The neighbors are taken from a set of objects for which the class (for k-NN classification) or the object property value (for k-NN regression) is known. This can be thought of as the training... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability and statistics, the Dirichlet distribution (after Peter Gustav Lejeune Dirichlet), often denoted Dir ( α ) {\displaystyle \operatorname {Dir} ({\boldsymbol {\alpha }})} , is a family of continuous multivariate probability distributions parameterized by a vector α {\displaystyle {\boldsymbol {\alpha }}}... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Its powers have poles of order 4 , 6 {\displaystyle 4,6} and so on. Therefore, such a P {\displaystyle P} has the gap sequence 1 , 3 , 5 , … , 2 g − 1. {\displaystyle 1,3,5,\dots ,2g-1.} | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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