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In other parts of the world, similar concepts have been created to define standards for electronic signatures. In Switzerland, the digital signing standard ZertES has comparable standards that address the conformity and regulation of trust service providers who product digital certificates.In the United States, the NIS... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 17th century, European mathematicians started using infinite numbers and infinite expressions in a systematic fashion. In 1655, John Wallis first used the notation ∞ {\displaystyle \infty } for such a number in his De sectionibus conicis, and exploited it in area calculations by dividing the region into infinite... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the EQP phase of SLQP, the search direction d k {\displaystyle d_{k}} of the step is obtained by solving the following equality-constrained quadratic program: min d f ( x k ) + ∇ f ( x k ) T d + 1 2 d T ∇ x x 2 L ( x k , λ k , σ k ) d s . t . b A k ( x k ) + ∇ b A k ( x k ) T d = 0 c A k ( x k ) + ∇ c A k ( x k ) T ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Each element of the queue is a pair of symbols (terminals or previously defined pairs) that occur consecutively in the sequence. The priority of a pair is given by the number of occurrences of the pair in the remaining sequence. Each time a new pair is created, the priority queue is updated. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In symmetric case, what we want is equal bitrate for the two sources: 5 bits each with separate encoder and joint decoder. We still use linear codes for this system, as we used for asymmetric case. The basic idea is similar, but in this case, we need to do coset partition for both sources, while for a pair of received ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the case of its application to a disjunction, consider the following claim: "it is false that either of A or B is true", which is written as: ¬ ( A ∨ B ) . {\displaystyle \neg (A\lor B).} In that it has been established that neither A nor B is true, then it must follow that both A is not true and B is not true, whic... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Selecting the references can be done manually ( Φ 1 , Φ 2 , Φ 5 , . . . | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
(See also the A-theory and the B-theory of time.) Chalmers also considers negative facts. For example, a statement like "there do not exist nonphysical angels." If in fact true, it does not seem that this logically follows from any of the physical facts by themselves; but, he argues, it would follow if one added a "Tha... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In statistics, a unimodal probability distribution or unimodal distribution is a probability distribution which has a single peak. The term "mode" in this context refers to any peak of the distribution, not just to the strict definition of mode which is usual in statistics. If there is a single mode, the distribution f... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In scores for sporting events, in particular tennis and association football, the number 0 has the very specialized names "love" and "nil". This can cause difficulty for radio and television newsreaders, because the reader must be aware of which name to use, when the score is often written as the digit "0" in the scrip... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In nonlinear programming, the constraints are not necessarily linear. Nonetheless, many of the same principles apply. To ensure that the global maximum of a non-linear problem can be identified easily, the problem formulation often requires that the functions be convex and have compact lower level sets. This is the sig... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the United States, film classification is a voluntary process with the ratings issued by the Motion Picture Association (MPA) via the Classification and Rating Administration (CARA). The system was established in 1968, but the version listed below is the most recent revision, having been in effect since 1990. An unr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
are: write performance increases linearly with the number of connected devices in the cluster. while the storage cluster is partitioned, all parts remain responsive. There is a risk of conflicting updates. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Since the method employs a selector variable (a factor introduced for each element to permit a counting procedure) the method is also known as the Darwin–Fowler method of selector variables. Note that a distribution function is not the same as the probability – cf. Maxwell–Boltzmann distribution, Bose–Einstein distribu... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Folders can be named just as files can (except for the root folder, which often does not have a name). The use of folders makes it easier to organize files in a logical way. When a computer allows the use of folders, each file and folder has not only a name of its own, but also a path, which identifies the folder or fo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the branch of mathematics known as order theory, a semimodular lattice, is a lattice that satisfies the following condition: Semimodular law a ∧ b <: a implies b <: a ∨ b.The notation a <: b means that b covers a, i.e. a < b and there is no element c such that a < c < b. An atomistic semimodular bounded lattice is c... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
All the nodes on average are the same in degree therefore attacking one shouldn't cause anymore damage than attacking another. As the number of attacks go up and more nodes are removed, we observe that S decreases non-linearly and acts as if a threshold exists when a fraction of the nodes (f) has been removed, (f≈.28).... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telecommunication, effective data transfer rate is the average number of units of data, such as bits, characters, blocks, or frames, transferred per unit time from a source and accepted as valid by a sink. Note: The effective data transfer rate is usually expressed in bits, characters, blocks, or frames per second. ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The amount of parallelism that can be extracted in superscalar designs is limited by the number of instructions that the scheduler can examine for interdependencies. Examining a greater number of instructions can improve the chance of finding an instruction that can be run in parallel, but only at the cost of increasin... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The anode is specially designed to dissipate the heat and wear resulting from this intense focused barrage of electrons. The anode is precisely angled at 1-20 degrees off perpendicular to the electron current so as to allow the escape of some of the X-ray photons which are emitted perpendicular to the direction of the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Idle wait is instead not convenient in case of a kernel critical section for device management, present in monolithic kernels only. A microkernel instead falls on just the first two of the above cases. In a multiprocessor system, most of the conflicts are kernel-level conflicts, due to the access to the kernel level cr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In reality, radio propagation changes along with the weather and tropospheric ducting, and occasionally along with other upper-atmospheric phenomena like sunspots and even meteor showers. Thus, while a broadcasting authority might fix the range to an area with exact boundaries (defined as a series of vectors), this is ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Programmable tools vs. ‘fixed function’ tools. Some tools can be altered to get varying amounts of data, at varying times. Some tools have only a fixed function. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In talent scheduling problem, we can prove that is NP-hard by a reduction from the optimal linear arrangement(OLA) problem. And in this problem, even we restrict each actor is needed for just two days and all actors' salaries are 1, it's still polynomially reducible to the OLA problem. Thus, this problem is unlikely to... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The radiographer (also known as a radiologic technologist) is usually responsible for acquiring medical images of diagnostic quality; although other professionals may train in this area, notably some radiological interventions performed by radiologists are done so without a radiographer. As a field of scientific invest... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The physical addresses are 32-bit on the 386, but can be larger on newer processors which support Physical Address Extension. The 80386 also introduced two new general-purpose data segment registers, FS and GS, to the original set of four segment registers (CS, DS, ES, and SS). A 386 CPU can be put back into real mode ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the United Kingdom, the Financial Conduct Authority functions as the national competent authority for the regulation of financial markets; the definition in its Handbook of the term "security" applies only to equities, debentures, alternative debentures, government and public securities, warrants, certificates repre... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Developing enough shared vocabulary to communicate can often take a while. The same knowledge can be included in different domain knowledge. Knowledge which may be applicable across a number of domains is called domain-independent knowledge, for example logics and mathematics. Operations on domain knowledge are perform... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The high-order byte of the instruction specifies the operation. Bits 9 through 15 are the op-code, and bit 8 is the value of the condition code calculation which results in the branch being taken. The low-order byte is a signed word offset relative to the current location of the program counter. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In programming language syntax, spaces are frequently used to explicitly separate tokens. In most languages multiple whitespace characters are treated the same as a single whitespace character (outside of quoted strings); such languages are called free-form. In a few languages, including Haskell, occam, ABC, and Python... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 1970s, most real-time applications did not use operating systems because the latter were perceived as adding too much overhead. Typical computers of the time had barely enough computing power to handle the tasks at hand. Moreover, most software of this type was written in assembly language. As a consequence, rea... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
One of the processor actually controls the exchange, but other is synchronized with the former but does not participate in the exchange control. If a fault is detected by the comparator the processors are decoupled and a check-out program is run independently to find faulty processor. This process runs without disturbi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to use Dantzig–Wolfe decomposition, the constraint matrix of the linear program must have a specific form. A set of constraints must be identified as "connecting", "coupling", or "complicating" constraints wherein many of the variables contained in the constraints have non-zero coefficients. The remaining cons... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telecommunications, 6b/8b is a line code that expands 6-bit codes to 8-bit symbols for the purposes of maintaining DC-balance in a communications system.The 6b/8b encoding is a balanced code -- each 8-bit output symbol contains 4 zero bits and 4 one bits. So the code can, like a parity bit, detect all single-bit err... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Thus it can be expressed as the vector ⟨ x 11 , x 22 , x 12 ⟩ {\displaystyle \langle x_{11},x_{22},x_{12}\rangle } .As another example: The stress tensor (in matrix notation) is given as σ = . {\displaystyle {\boldsymbol {\sigma }}=\left.} In Voigt notation it is simplified to a 6-dimensional vector: σ ~ = ( σ x x , σ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the Universal Mobile Telecommunications System (UMTS) and 3GPP Long Term Evolution (LTE), user equipment (UE) is any device used directly by an end-user to communicate. It can be a hand-held telephone, a laptop computer equipped with a mobile broadband adapter, or any other device. It connects to the base station No... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In software engineering, dependency injection is a programming technique in which an object or function receives other objects or functions that it requires, as opposed to creating them internally. Dependency injection aims to separate the concerns of constructing objects and using them, leading to loosely coupled prog... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The geometric mean is often used for a set of numbers whose values are meant to be multiplied together or are exponential in nature, such as a set of growth figures: values of the human population or interest rates of a financial investment over time. It also applies to benchmarking, where it is particularly useful for... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Similarly, a high-priority task has a high priority because it is more likely to be subject to strict time constraints—it may be providing data to an interactive user, or acting subject to real-time response guarantees. Because priority inversion results in the execution of a lower-priority task blocking the high-prior... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the Alpha architecture, a byte is defined as an 8-bit datum (octet), a word as a 16-bit datum, a longword as a 32-bit datum, a quadword as a 64-bit datum, and an octaword as a 128-bit datum. The Alpha architecture originally defined six data types: Quadword (64-bit) integer Longword (32-bit) integer IEEE T-floating-... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For instance, the typeface "Bauer Bodoni" (sample shown here) includes fonts "Roman" (or "Regular"), "Bold" and "Italic"; each of these exists in a variety of sizes. The term "font" is correctly applied to any one of these alone but may be seen used loosely to refer to the whole typeface. When used in computers, each s... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Perhaps the simplest model of distributed computing is a synchronous system where all nodes operate in a lockstep fashion. This model is commonly known as the LOCAL model. During each communication round, all nodes in parallel (1) receive the latest messages from their neighbours, (2) perform arbitrary local computatio... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For example, when viewing content on the Internet (the channel), a web browser (a communicating party) would use the HTTP (the communication protocol) to request a web page from the server (another communicating party), and then render the returned data into its visual form. This is how the request–response messaging p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory and statistics, the Lévy distribution, named after Paul Lévy, is a continuous probability distribution for a non-negative random variable. In spectroscopy, this distribution, with frequency as the dependent variable, is known as a van der Waals profile. It is a special case of the inverse-gamma di... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In most telecommunications organizations, a virtual channel is a method of remapping the program number as used in H.222 Program Association Tables and Program Mapping Tables to a channel number that can be entered as digits on a receiver's remote control. Often, virtual channels are implemented in digital television t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In numerical mathematics, the Uzawa iteration is an algorithm for solving saddle point problems. It is named after Hirofumi Uzawa and was originally introduced in the context of concave programming. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Annotea is part of the W3C Semantic Web efforts. An example implementation of Annotea is W3C's Amaya editor/browser. The current Amaya user interface for annotations is presented in the Amaya documentation. Other projects consists of Plugins for Firefox/Mozilla or Annotatio Client which interacts with most browsers per... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the expressions in this article, is the standard normal probability density function, is the corresponding cumulative distribution function (where erf is the error function), and is Owen's T function. Owen has an extensive list of Gaussian-type integrals; only a subset is given below. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. For instance, a strictly convex function on an open set has no more than one minimum. Even in infinite-dimensional spaces, under suitable additional hypotheses, convex functions continu... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The definition of theorems as sentences of a formal language is useful within proof theory, which is a branch of mathematics that studies the structure of formal proofs and the structure of provable formulas. It is also important in model theory, which is concerned with the relationship between formal theories and stru... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and computer science, the probabilistic automaton (PA) is a generalization of the nondeterministic finite automaton; it includes the probability of a given transition into the transition function, turning it into a transition matrix. Thus, the probabilistic automaton also generalizes the concepts of a Ma... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In modular programming, modularity refers to the compartmentalization and interrelation of the parts of a software package. In software design, modularity refers to a logical partitioning of the "software design" that allows complex software to be manageable for the purpose of implementation and maintenance. The logic ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The limit of 17 planes is due to UTF-16, which can encode 220 code points (16 planes) as pairs of words, plus the BMP as a single word. UTF-8 was designed with a much larger limit of 231 (2,147,483,648) code points (32,768 planes), and would still be able to encode 221 (2,097,152) code points (32 planes) even under the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
After receiving Alice's qubit, operating on the pair and measuring both, Bob obtains two classical bits of information. It is worth stressing that if Alice and Bob do not pre-share entanglement, then the superdense protocol is impossible, as this would violate Holevo's theorem. Superdense coding is the underlying princ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
A black box algorithm is one which uses only these oracles. Hence, straight-line programs for black box groups are black box algorithms. Explicit straight-line programs are given for a wealth of finite simple groups in the online ATLAS of Finite Groups. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In recent years, however, confusion of the term "dollar cost averaging" with what Vanguard call a systematic implementation plan has arisen. The term "dollar cost averaging" is used to describe a delayed and staged investment strategy used in the situation where the investor has a windfall gain such as an insurance pay... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Functional programming languages often allow the subtyping of records. Consequently, simply typed lambda calculus extended with record types is perhaps the simplest theoretical setting in which a useful notion of subtyping may be defined and studied. Because the resulting calculus allows terms to have more than one typ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein a finite number of values are equally likely to be observed; every one of n values has equal probability 1/n. Another way of saying "discrete uniform distribution" would be "a known, finite number of ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Substituting into the first equation relating P ( s 1 ) , P ( s 2 ) {\displaystyle P(s_{1}),\;P(s_{2})}: P ( s 1 ) P ( s 2 ) = e − E ( s 1 ) / k T e − E ( s 2 ) / k T , {\displaystyle {\frac {P(s_{1})}{P(s_{2})}}={\frac {e^{-E(s_{1})/kT}}{e^{-E(s_{2})/kT}}},} which implies, for any state s of the system P ( s ) = 1 Z e... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to get more stable results and use all valuable data for training, a data set can be repeatedly split into several training and a validation datasets. This is known as cross-validation. To confirm the model's performance, an additional test data set held out from cross-validation is normally used. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In packed pixel or chunky framebuffer organization, the bits defining each pixel are clustered and stored consecutively. For example, if there are 16 bits per pixel, each pixel is represented in two consecutive (contiguous) 8-bit bytes in the framebuffer. If there are 4 bits per pixel, each framebuffer byte defines two... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Modularity—the ability to define boundaries around specific domains and problem spaces—is essential for these languages because as stated by Tom Gruber, "Every ontology is a treaty- a social agreement among people with common motive in sharing." There are always many competing and differing views that make any general-... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime numbers, there are also infinitely many semiprimes. Semiprimes are also ca... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In standard multiple regression, each predictor is multiplied by a number that is called the beta weight, regression weight or weighted regression coefficients (denoted βW or BW). The prediction is obtained by adding these products along with a constant. When the weights are chosen to give the best prediction by some c... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
All matrices are assumed to have coefficients in the complex numbers. For the equation to make sense, the matrices must have appropriate sizes, for example they could all be square matrices of the same size. But more generally, A and B must be square matrices of sizes n and m respectively, and then X and C both have n ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In some settings it is natural to consider primitive recursive functions that take as inputs tuples that mix numbers with truth values (that is t for true and f for false), or that produce truth values as outputs. This can be accomplished by identifying the truth values with numbers in any fixed manner. For example, it... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This is used in order to create input at exactly a specific time, seen as how one can find a particular moment simply by checking every frame at one's leisure. Glitch An unintentional feature in a game — usually considered an error. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Related to the diatonic modes are the eight church modes or Gregorian modes, in which authentic and plagal forms of scales are distinguished by ambitus and tenor or reciting tone. Although both diatonic and gregorian modes borrow terminology from ancient Greece, the Greek tonoi do not otherwise resemble their mediaeval... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the United States, anonymous work is legally defined as "a work on the copies or phonorecords of which no natural person is identified as author." | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In one rearrangement proof, two squares are used whose sides have a measure of a + b {\displaystyle a+b} and which contain four right triangles whose sides are a, b and c, with the hypotenuse being c. In the square on the right side, the triangles are placed such that the corners of the square correspond to the corners... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{\displaystyle ~\operatorname {\mathbb {P} } \left(\mathbf {x} \right)_{0}=N!\,\prod _{i=1}^{k}{\frac {\pi _{i}^{x_{i}}}{x_{i}!}}~.} The significance probability for the test is the probability of occurrence of the data set observed, or of a data set less likely than that observed, if the null hypothesis is true. Using... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In this way, the tester determines whether the particular device under test meets the device specifications. While packaged as a wafer, automatic test equipment (ATE) can connect to the individual units using a set of microscopic needles. Once the chips are sawn apart and packaged, test equipment can connect to the chi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
These maximal hypotheses essentially constitute a (optimistic) claim that the true concept is defined just by the negative data already observed: Thus, if a novel (never-before-seen) data point is observed, it should be assumed to be positive. (I.e., if data has not previously been ruled out, then it's ruled in.) Thus,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a filter or order filter is a special subset of a partially ordered set (poset), describing "large" or "eventual" elements. Filters appear in order and lattice theory, but also topology, whence they originate. The notion dual to a filter is an order ideal. Special cases of filters include ultrafilters, ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In older literature on mathematical logic, the period glyph used to indicate how expressions should be bracketed (see Glossary of Principia Mathematica). | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
It was characteristic of logical positivism to consider a scientific theory to be nothing more than a set of sentences, subdivided into the class of theoretical sentences, the class of observational sentences, and the class of mixed sentences. The first class contains terms which refer to theoretical entities, that is ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The deterministic behavior is desired and expected in compiling programming languages. In natural language processing, it was thought for a long time that deterministic parsing is impossible due to ambiguity inherent in natural languages (many sentences have more than one plausible parse). Thus, non-deterministic appro... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For example, the inverse heat equation, deducing a previous distribution of temperature from final data, is not well-posed in that the solution is highly sensitive to changes in the final data. Continuum models must often be discretized in order to obtain a numerical solution. While solutions may be continuous with res... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In plain English, a hierarchy can be thought of as a set in which: No element is superior to itself, and One element, the (apex or hierarch), is superior to all of the other elements in the set.The first requirement is also interpreted to mean that a hierarchy can have no circular relationships; the association between... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In predicate logic, existential instantiation (also called existential elimination) is a rule of inference which says that, given a formula of the form ( ∃ x ) ϕ ( x ) {\displaystyle (\exists x)\phi (x)} , one may infer ϕ ( c ) {\displaystyle \phi (c)} for a new constant symbol c. The rule has the restrictions that the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the MixColumns step, the four bytes of each column of the state are combined using an invertible linear transformation. The MixColumns function takes four bytes as input and outputs four bytes, where each input byte affects all four output bytes. Together with ShiftRows, MixColumns provides diffusion in the cipher. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables onto a real number intuitively representing some "cost" associated with the event. An optimization problem seeks to minimize a ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In predicate calculus, a Henkin witness for a sentence ∃ x φ ( x ) {\displaystyle \exists x\,\varphi (x)} in a theory T is a term c such that T proves φ(c) (Hinman 2005:196). The use of such witnesses is a key technique in the proof of Gödel's completeness theorem presented by Leon Henkin in 1949. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Moreover, it's worth mentioning that if we carry forward the same line of thinking, something fascinating emerges. When we take infinity and divide it by a regular number like 10, the result still holds true: it's infinity. This adds another layer of insight to our mathematical journey, underscoring the depth of what w... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Thus the total demand for page file-backed virtual memory must exceed 250% of the computer's physical memory before the page file will expand. The fragmentation of the page file that occurs when it expands is temporary. As soon as the expanded regions are no longer in use (at the next reboot, if not sooner) the additio... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In fact, a stronger result is true: the number of permutations of length n with major index k and i inversions is the same as the number of permutations of length n with major index i and k inversions, that is, the two statistics are equidistributed. For example, the number of permutations of length 4 with given major ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In social psychology, signed graphs have been used to model social situations, with positive edges representing friendships and negative edges enmities between nodes, which represent people. Then, for example, a positive 3-cycle is either three mutual friends, or two friends with a common enemy; while a negative 3-cycl... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the context of networks, social capital exists where people have an advantage because of their location in a network. Contacts in a network provide information, opportunities and perspectives that can be beneficial to the central player in the network. Most social structures tend to be characterized by dense cluster... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In social cataloging much like social bookmarking, this software is aimed towards academics. It allows the user to post a citation for an article found on the internet or a website, online database like Academic Search Premier or LexisNexis Academic University, a book found in a library catalog and so on. These citatio... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The Wasserstein distance between two measures is, roughly speaking, the cost of transporting one to the other. The set of all m by n matrices over some field is a metric space with respect to the rank distance d ( A , B ) = r a n k ( B − A ) {\displaystyle d(A,B)=\mathrm {rank} (B-A)} . The Helly metric in game theory ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
From this definition the following standard definition of a let expression, as used in a functional language may be derived. x ∉ FV ( y ) ⟹ ( let x: x = y in z ) = z = ( λ x . z ) y {\displaystyle x\not \in \operatorname {FV} (y)\implies (\operatorname {let} x:x=y\operatorname {in} z)=z=(\lambda x.z)\ y} For sim... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Investigations into home primes make up a minor side issue in number theory. Its questions have served as test fields for the implementation of efficient algorithms for factoring composite numbers, but the subject is really one in recreational mathematics. The outstanding computational problem as of 2016 is whether HP(... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Line 2: Second matrix-valued set of conditional probabilities. By definition p ( y i | c k ) = ∑ j p ( y i | x j ) p ( x j | c k ) = ∑ j p ( y i | x j ) p ( x j , c k ) / p ( c k ) = ∑ j p ( y i | x j ) p ( c k | x j ) p ( x j ) / p ( c k ) {\displaystyle {\begin{aligned}p(y_{i}|c_{k})&=\sum _{j}p(y_{i}|x_{j})p(x_{j}|c... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Traditional single-dispatch OO languages make it trivial to add new datatypes but not new functions; traditional functional languages tend to have the opposite effect, and multiple dispatch, if implemented correctly, allows both. It is desirable for an implementation of multiple dispatch to have the following propertie... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
An examination of the development in artificial intelligence that has followed reveals that the learning machine did take the abstract path suggested by Turing as in the case of Deep Blue, a chess playing computer developed by IBM and one which defeated the world champion Garry Kasparov (though, this too is controversi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, the Johnson–Lindenstrauss lemma is a result named after William B. Johnson and Joram Lindenstrauss concerning low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space. The lemma states that a set of points in a high-dimensional space can be embedded into a space of ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the C, C++, and D programming languages, a type qualifier is a keyword that is applied to a type, resulting in a qualified type. For example, const int is a qualified type representing a constant integer, while int is the corresponding unqualified type, simply an integer. In D these are known as type constructors, b... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In some contexts one considers the more general notion of order-indiscernibles, and the term sequence of indiscernibles often refers implicitly to this weaker notion. In our example of binary formulas, to say that the triple (a, b, c) of distinct elements is a sequence of indiscernibles implies ( ∨ ) ∧ ( ∨ ) . {\di... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This is because models which depend linearly on their unknown parameters are easier to fit than models which are non-linearly related to their parameters and because the statistical properties of the resulting estimators are easier to determine. Linear regression has many practical uses. Most applications fall into one... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The improved coloring with ColorSort algorithm takes in consideration the above observation. Each vertex is assigned to a color class Ck. If k < |Qmax| − |Q| + 1 the vertex is moved to R (behind the last vertex in R). | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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