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The original, strong, form of the conjecture with exponent 1/2 has never been disproved, although it is no longer believed to be true and the term Hall's conjecture now generally means the version with the ε in it. For example, in 1998, Noam Elkies found the example 4478849284284020423079182 - 58538865167812233 = -1641... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, for given real numbers a and b, the logarithm logb a is a number x such that bx = a. Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm logb a is an integer k such that bk = a. In number theory, the more commonly used term is index: we can write x = indr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In relationally synthesized Odia words, base morphemes (root words) join with bound morphemes to express grammatical function. The Odia language has a tendency for commonly used words to have a 2:1 morpheme-word ratio i.e. on average; there are two morphemes in a single word. Because of this tendency, Odia is said to "... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation. A simpler example is equality. Any number a is equal to itself (reflexive). | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a concrete category is a category that is equipped with a faithful functor to the category of sets (or sometimes to another category, see Relative concreteness below). This functor makes it possible to think of the objects of the category as sets with additional structure, and of its morphisms as struct... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In object-oriented programming, users can inherit the properties and behaviour of a superclass in subclasses. A subclass can override methods of its superclass, substituting its own implementation of the method for the superclass's implementation. Sometimes the overriding method will completely replace the correspondin... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the absence of intervention in the foreign exchange market by national government authorities, the exchange rate of a country's currency is determined, in general, by market forces of supply and demand at a point in time. Government authorities may intervene in the market from time to time to achieve specific policy... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{\displaystyle \mathbf {y} =\mathbf {X} \mathbf {\beta } +\mathbf {\varepsilon } ,\qquad \operatorname {E} =0,\ \operatorname {Cov} =\mathbf {\Omega } .} Here β ∈ R k {\displaystyle \beta \in \mathbb {R} ^{k}} is a vector of unknown constants (known as “regression coefficients”) that must be estimated from the data. Su... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In statically typed languages (such as C++ and Java), the term generic functions refers to a mechanism for compile-time polymorphism (static dispatch), specifically parametric polymorphism. These are functions defined with TypeParameters, intended to be resolved with compile time type information. The compiler uses the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In queueing theory, a discipline within the mathematical theory of probability, a fork–join queue is a queue where incoming jobs are split on arrival for service by numerous servers and joined before departure. The model is often used for parallel computations or systems where products need to be obtained simultaneousl... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and computer science, a shortest-path tree rooted at a vertex v of a connected, undirected graph G is a spanning tree T of G, such that the path distance from root v to any other vertex u in T is the shortest path distance from v to u in G. In connected graphs where shortest paths are well-defined (i.e. ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
These include, among others: the "is greater than", "is equal to", and "divides" relations in arithmetic; the "is congruent to" relation in geometry; the "is adjacent to" relation in graph theory; the "is orthogonal to" relation in linear algebra.A function may be defined as a special kind of binary relation. Binary re... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to identify which transitions must be made, the protocol detects sharing using a special bus line named CopiesExist. All other caches snoop all memory operations and raise the CopiesExist(C) if they detect a "snoop hit", i.e. if they have a copy of the data in their own cache. An arrow that goes from nowhere t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The weights used are usually based on the aggregate input shares either factor earns. This ratio is often quoted as: 33% return to capital and 67% return to labor (in Western nations).In a growing economy, capital is accumulated faster than people are born, so the denominator in the growth function under the MFP calcul... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The problem is to approximate the integral of a function f as the average of the function evaluated at a set of points x1, ..., xN: ∫ s f ( u ) d u ≈ 1 N ∑ i = 1 N f ( x i ) . {\displaystyle \int _{^{s}}f(u)\,{\rm {d}}u\approx {\frac {1}{N}}\,\sum _{i=1}^{N}f(x_{i}).} Since we are integrating over the s-dimensional un... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Values also have types, which can be checked and queried at runtime. Typing of variables also allows polymorphisms to be resolved at compile time. However, this is different from the polymorphism used in object-oriented function calls (referred to as virtual functions in C++) which resolves the call based on the value ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the following soft clustering example, the reference vector Y {\displaystyle Y\,} contains sample categories and the joint probability p ( X , Y ) {\displaystyle p(X,Y)\,} is assumed known. A soft cluster c k {\displaystyle c_{k}\,} is defined by its probability distribution over the data samples x i: p ( c k | x i ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
So we must sum over all these possibilities: Pr ( Median = v ) = ∑ i = 0 n ∑ k = 0 n N ! i ! ( N − i − k ) ! | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Most computers organize files into hierarchies using folders, directories, or catalogs. The concept is the same irrespective of the terminology used. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively. In mathematical no... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the first version of the above-cited paper, the authors proved the asymptotic time complexity of the algorithm to be O ~ ( log ( n ) 12 ) {\displaystyle {\tilde {O}}(\log(n)^{12})} (using Õ from big O notation)—the twelfth power of the number of digits in n times a factor that is polylogarithmic in the number of d... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the early years of knowledge-based systems the knowledge-bases were fairly small. The knowledge-bases that were meant to actually solve real problems rather than do proof of concept demonstrations needed to focus on well defined problems. So for example, not just medical diagnosis as a whole topic, but medical diagn... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In doctoral mathematics departments, however, only about 58% of statistics course instructors had at least a master’s degree in statistics or biostatistics as their highest degree earned. In master’s-level mathematics departments, the corresponding percentage was near 44%, and in bachelor’s-level departments only 19% o... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In more modern terms, a crypt is most often a stone chambered burial vault used to store the deceased. Placing a corpse into a crypt can be called immurement, and is a method of final disposition, as an alternative to, for example, cremation. Crypts are usually found in cemeteries and under public religious buildings, ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
According to the TCP specification, that first sequence number sent by an endpoint can be any value as decided by that endpoint. As the sequence number is chosen by the sender, returned by the recipient, and has no otherwise-defined internal structure, it can be overloaded to carry additional data. The following descri... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
When using a file transfer protocol, the packets themselves offer their own framing. The packets will always send a continuous stream of data, so the clock cannot "drift" in the same way that it could for data being sent by a user typing on a keyboard. By turning off these framing bits when operating on an error-correc... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In stratigraphic excavation, the goal is to remove some or, preferably, all archaeological deposits and features in the reverse order they were created and construct a Harris matrix as a chronological record or "sequence" of the site. This Harris matrix is used for interpretation and combining contexts into ever larger... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, an edge cycle cover (sometimes called simply cycle cover) of a graph is a family of cycles which are subgraphs of G and contain all edges of G. If the cycles of the cover have no vertices in common, the cover is called vertex-disjoint or sometimes simply disjoint cycle cover. In this case, the set of th... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory, the chain rule (also called the general product rule) describes how to calculate the probability of the intersection of, not necessarily independent, events or the joint distribution of random variables respectively, using conditional probabilities. The rule is notably used in the context of disc... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Thus the number −1,234,567 is 7 digits wide and is encoded as: 0001 0010 0011 0100 0101 0110 0111 1101 1 2 3 4 5 6 7 − Like character strings, the first byte of the packed decimal – that with the most significant two digits – is usually stored in the lowest address in memory, independent of the endianness of the machin... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In programming language theory and type theory, polymorphism is the provision of a single interface to entities of different types or the use of a single symbol to represent multiple different types. The concept is borrowed from a principle in biology where an organism or species can have many different forms or stages... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In recent years, considerable effort has been put into improving the performance of existing algorithms. Among them are CLARANS, and BIRCH. With the recent need to process larger and larger data sets (also known as big data), the willingness to trade semantic meaning of the generated clusters for performance has been i... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Though the transportation network does not depend on the power network to function, the communications network does. Thus the deactivation of a critical number of nodes in either the power network or the communication network can lead to a series of cascading failures across the system with potentially catastrophic rep... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, given two groups, (G, ∗) and (H, ·), a group homomorphism from (G, ∗) to (H, ·) is a function h: G → H such that for all u and v in G it holds that h ( u ∗ v ) = h ( u ) ⋅ h ( v ) {\displaystyle h(u*v)=h(u)\cdot h(v)} where the group operation on the left side of the equation is that of G and on the rig... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telecommunication, attack time is the time between the instant that a signal at the input of a device or circuit exceeds the activation threshold of the device or circuit and the instant that the device or circuit reacts in a specified manner, or to a specified degree, to the input. Attack time occurs in devices suc... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Equipment will search for a bit which has the correct pattern, and will align its framing based on that bit. The pattern sent is 12 bits long, so every group of 12 frames is called a superframe. The pattern used in the 193rd bit is 100011 011100.Each channel sends two bits of call supervision data during each superfram... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The cases (x, y, z) = (n, n, 2) and all its permutations were proven for n ≥ 4 by Darmon and Merel in 1995 following work from Euler and Poonen. The cases (x, y, z) = (n, n, 3) and all its permutations were proven for n ≥ 3 by Édouard Lucas, Bjorn Poonen, and Darmon and Merel. The case (x, y, z) = (2n, 2n, 5) and all i... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The second expression is evaluated prior to each iteration and the loop is terminated if it evaluates to false. The third expression is evaluated after each iteration, prior to deciding whether to perform the next. This for loop is the only looping construct that can not have a continue block, but expr3 is functionally... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In practice, the two coordinate-free definitions described above are rarely used because in virtually all cases, the curl operator can be applied using some set of curvilinear coordinates, for which simpler representations have been derived. The notation ∇ × F has its origins in the similarities to the 3-dimensional cr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the eighth chapter titled "The explanatory power of linguistic theory", Chomsky writes a linguistic theory cannot content itself by just generating valid grammatical sentences. It also has to account for other structural phenomena at different levels of linguistic representation. At a certain linguistic level, there... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ x ∣ P ( x ) } = { x ∣ Q ( x ) } {\displaystyle \{x\mid P(x)\}=\{x\mid Q(x)\}} if and only if P ( x ) ⇔ Q ( x ) . {\displaystyle P(x)\Leftrightarrow Q(x).} | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory, the Doob–Dynkin lemma, named after Joseph L. Doob and Eugene Dynkin, characterizes the situation when one random variable is a function of another by the inclusion of the σ {\displaystyle \sigma } -algebras generated by the random variables. The usual statement of the lemma is formulated in terms... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In public key infrastructure, a validation authority (VA) is an entity that provides a service used to verify the validity or revocation status of a digital certificate per the mechanisms described in the X.509 standard and RFC 5280 (page 69).The dominant method used for this purpose is to host a certificate revocation... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
It shows that it is impossible to express the square root of 2 as a ratio of two integers. Another consequential proof of impossibility was Ferdinand von Lindemann's proof in 1882, which showed that the problem of squaring the circle cannot be solved because the number π is transcendental (i.e., non-algebraic), and tha... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and computing, the hexadecimal (also base-16 or simply hex) numeral system is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Previous studies have been conducted, focusing on priming effects having a rapid rise time and a hasty decay time. For example, an experiment by Donald Foss researched the decay time of semantic facilitation in lists and sentences. Three experiments were conducted and it was found that semantic relationships within wor... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to abstract the concept of orientation on the edges of a graph to sets, one needs the ability to assign "direction" to the elements of a set. The way this achieved is with the following definition of signed sets. A signed set, X {\displaystyle X} , combines a set of objects, X _ {\displaystyle {\underline {X}}... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In multiprocessor systems, a processor may send an interrupt request to another processor via inter-processor interrupts (IPI). | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
MDP also used packet-level forward error correction coding concepts as a repair mechanism. Encoded parity repair packets were generally sent in response to repair requests by receivers. In this way no additional protocol overhead was added above selective retransmission methods. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telecommunications, a channel bank is a device that performs multiplexing or demultiplexing ("demux") of a group of communications channels, such as analog or digital telephone lines, into one channel of higher bandwidth or higher digital bit rate, such as a DS-1 (T1) circuit, so that all the channels can be sent si... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In one of Google's promotional videos for search published in the summer of 2010, the majority of the links available were reported to be produced at content farms. In late February 2011, Google announced it was adjusting search algorithms significantly to "provide better rankings for high-quality sites—sites with orig... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Construct the shortest-path tree using the edges between each node and its parent.The above algorithm guarantees the existence of shortest-path trees. Like minimum spanning trees, shortest-path trees in general are not unique. In graphs for which all edge weights are equal, shortest path trees coincide with breadth-fir... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
There is also Bell's theorem: no physical theory of local hidden variables can ever reproduce all of the predictions of quantum mechanics. While an impossibility assertion in natural science can never be absolutely proved, it could be refuted by the observation of a single counterexample. Such a counterexample would re... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telecommunication, the term terminal equipment has the following meanings: Communications equipment at either end of a communications link, used to permit the stations involved to accomplish the mission for which the link was established. In radio-relay systems, equipment used at points where data are inserted or de... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For the source and destination of every flight i, one adds two nodes to V, node si as the source and node di as the destination node of flight i. One also adds the following edges to E: An edge with capacity between s and each si. An edge with capacity between each di and t. An edge with capacity between each pair o... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a surface is a mathematical model of the common concept of a surface. It is a generalization of a plane, but, unlike a plane, it may be curved; this is analogous to a curve generalizing a straight line. There are several more precise definitions, depending on the context and the mathematical tools that ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
As a result, it is common for researchers working in the majority of languages with only one type or the other to simply use the alveolar symbols indifferently for both types, unless they specifically want to call attention to the distinction. The most common sounds are the stops and . More generally, several kinds ar... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a ternary operation is an n-ary operation with n = 3. A ternary operation on a set A takes any given three elements of A and combines them to form a single element of A. In computer science, a ternary operator is an operator that takes three arguments as input and returns one output. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Thus, in each convolutional layer, each neuron takes input from a larger area in the input than previous layers. This is due to applying the convolution over and over, which takes the value of a pixel into account, as well as its surrounding pixels. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In semantics, the most well-known types of semantic equivalence are dynamic equivalence and formal equivalence (coined by Eugene Nida) are associated with two dissimilar translation approaches that are employed to achieve different levels of literalness between the source and target text, as evidenced in biblical trans... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In software engineering and hardware engineering, serviceability (also known as supportability) is one of the -ilities or aspects (from IBM's RAS(U) (Reliability, Availability, Serviceability, and Usability)). It refers to the ability of technical support personnel to install, configure, and monitor computer products, ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory and statistics, the Zipf–Mandelbrot law is a discrete probability distribution. Also known as the Pareto–Zipf law, it is a power-law distribution on ranked data, named after the linguist George Kingsley Zipf who suggested a simpler distribution called Zipf's law, and the mathematician Benoit Mande... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the UML Superstructure 2.4.1 Specification Document the following definition is given: The notion of power type was inspired by the notion of power set. A power set is defined as a set whose instances are subsets. In essence, then, a power type is a class whose instances are subclasses. == References == | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Complementarily, noncommutative algebra is the study of ring properties that are not specific to commutative rings. This distinction results from the high numb... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In symbols, one writes φ i ( n ) = { φ ( n ) , if i = 1 φ ( φ i − 1 ( n ) ) , if i ≥ 2 {\displaystyle \varphi ^{i}(n)={\begin{cases}\varphi (n),&{\text{ if }}i=1\\\varphi (\varphi ^{i-1}(n)),&{\text{ if }}i\geq 2\end{cases}}} for the iterated totient function. Then if c is the integer such that φ c ( n ) = 2 , {\displa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In software engineering, Canonical Schema is a design pattern, applied within the service-orientation design paradigm, which aims to reduce the need for performing data model transformation when services exchange messages that reference the same data model. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The small Veblen ordinal θ Ω ω ( 0 ) {\displaystyle \theta _{\Omega ^{\omega }}(0)} or ψ ( Ω Ω ω ) {\displaystyle \psi (\Omega ^{\Omega ^{\omega }})} is the limit of ordinals that can be described using a version of Veblen functions with finitely many arguments. It is the ordinal that measures the strength of Kruskal's... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Lovelace went on to write one of history's earliest computer programs that aided Babbage in the design of the Analytical Engine, a machine capable of running programs automatically. Lovelace's work with Babbage positioned her as a significant pioneer in the field of cybersecurity. Kevin Kelly, the co-founder of Wired m... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In a priority interrupt system, the FLIH also (briefly) masks other interrupts of equal or lesser priority. A SLIH completes long interrupt processing tasks similarly to a process. SLIHs either have a dedicated kernel thread for each handler, or are executed by a pool of kernel worker threads. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Extended real-valued function for which the minimization problem is not solved by any one of these three trivial cases are exactly those that are called proper. Many (although not all) results whose hypotheses require that the function be proper add this requirement specifically to exclude these trivial cases. If the p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In quantum information theory, the identity channel is a noise-free quantum channel. That is, the channel outputs exactly what was put in.The identity channel is commonly denoted as I {\displaystyle I} , i d {\displaystyle {\mathsf {id}}} or I {\displaystyle \mathbb {I} } . == References == | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the case of the original Grätzel and O'Regan design, the cell has 3 primary parts. On top is a transparent anode made of fluoride-doped tin dioxide (SnO2:F) deposited on the back of a (typically glass) plate. On the back of this conductive plate is a thin layer of titanium dioxide (TiO2), which forms into a highly p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In principle FSK can be implemented by using completely independent free-running oscillators, and switching between them at the beginning of each symbol period. In general, independent oscillators will not be at the same phase and therefore the same amplitude at the switch-over instant, causing sudden discontinuities i... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
with Since f {\displaystyle f} does not appear explicitly in L , {\displaystyle L,} the first term in the Euler–Lagrange equation vanishes for all f ( x ) {\displaystyle f(x)} and thus, Substituting for L {\displaystyle L} and taking the derivative, Thus for some constant c . {\displaystyle c.} Then where Solving, we g... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical optimization, Bland's rule (also known as Bland's algorithm, Bland's anti-cycling rule or Bland's pivot rule) is an algorithmic refinement of the simplex method for linear optimization. With Bland's rule, the simplex algorithm solves feasible linear optimization problems without cycling.The original sim... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, Brocard's conjecture is the conjecture that there are at least four prime numbers between (pn)2 and (pn+1)2, where pn is the nth prime number, for every n ≥ 2. The conjecture is named after Henri Brocard. It is widely believed that this conjecture is true. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more generally, members of a vector space. For representing a vector, the common typographic convention is lower case, upright boldface type, as in v. The International Organization for S... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The member also has duties to the tax authorities, notably of compliance with the law and the honest presentation of his client's circumstances. It is the taxpayer's responsibility to ensure that returns made to the tax authorities are correct and complete. It is for the member to assist him to decide on the extent and... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
"Phenotypic correlations between psychological traits show significant and substantial genetic mediation." "The heritability of intelligence increases throughout development." "Age-to-age stability is mainly due to genetics." | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This does not allow for full cross-referencing of information and, according to P. Simon and J. Stavo-Debauge, produces the opposite effect by creating a quasi-hierarchy, with foreigners from outside the European Union making up the group with the most difficulties. Paradoxically, a highly aggregated country classifica... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In some text messaging software products, an ellipsis is displayed while the interlocutor is typing characters. The feature has been referred to as a "typing awareness indicator", for which patents have been filed since the 1990s. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, the classification of finite simple groups is a result of group theory stating that every finite simple group is either cyclic, or alternating, or it belongs to a broad infinite class called the groups of Lie type, or else it is one of twenty-six or twenty-seven exceptions, called sporadic. The proof co... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
When the commutative diagrams of a category are interpreted as a typed equational theory whose objects are the types, a codiscrete posetal category corresponds to an inconsistent theory understood as one satisfying the axiom x = y at all types. Viewing a 2-category as an enriched category whose hom-objects are categori... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory and statistics, the normal-gamma distribution (or Gaussian-gamma distribution) is a bivariate four-parameter family of continuous probability distributions. It is the conjugate prior of a normal distribution with unknown mean and precision. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
s . {\displaystyle \mathbb {E} \left=0,a.s.} | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a dyadic rational or binary rational is a number that can be expressed as a fraction whose denominator is a power of two. For example, 1/2, 3/2, and 3/8 are dyadic rationals, but 1/3 is not. These numbers are important in computer science because they are the only ones with finite binary representations... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Subshells are usually identified by their n {\displaystyle n} - and ℓ {\displaystyle \ell } -values. n {\displaystyle n} is represented by its numerical value, but ℓ {\displaystyle \ell } is represented by a letter as follows: 0 is represented by 's', 1 by 'p', 2 by 'd', 3 by 'f', and 4 by 'g'. For instance, one may sp... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the first prime number, 2. The multiples of a given prime are generated as a sequence of numb... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
. ( ( ( ( ( P + P ) + P ) + P ) + … ) ⋯ + P ) + P = P + P + ⋯ + P + P {\displaystyle (....(((((P+P)+P)+P)+\dots )\dots +P)+P=P+P+\dots +P+P} . Note that, this simple algorithm takes at most 2l steps and each step consists of a doubling and (if ki ≠ 0) adding two points. So, this is one of the reasons why ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, an associative algebra A is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field K. The addition and multiplication operations together give A the structure of a ring; the addition and scalar mult... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In statistics, the Lehmann–Scheffé theorem is a prominent statement, tying together the ideas of completeness, sufficiency, uniqueness, and best unbiased estimation. The theorem states that any estimator which is unbiased for a given unknown quantity and that depends on the data only through a complete, sufficient stat... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In nonlinear optimization, quasiconvex programming studies iterative methods that converge to a minimum (if one exists) for quasiconvex functions. Quasiconvex programming is a generalization of convex programming. Quasiconvex programming is used in the solution of "surrogate" dual problems, whose biduals provide quasic... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
It takes inspiration from NUSAP, a method used to qualify the worth (quality) of quantitative information with the generation of `Pedigrees' of numbers. Likewise, sensitivity auditing has been developed to provide pedigrees of models and model-based inferences. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The notion of a replicating portfolio is fundamental to rational pricing, which assumes that market prices are arbitrage-free – concretely, arbitrage opportunities are exploited by constructing a replicating portfolio. In practice, replicating portfolios are seldom, if ever, exact replications. Most significantly, unle... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the context of biometric systems, presentation attacks may also be called "spoofing attacks". As per the recent ISO/IEC 30107 standard, presentation attacks are defined as "presentation to the biometric capture subsystem with the goal of interfering with the operation of the biometric system". These attacks can be e... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and computer science, a class of objects or methods exhibits recursive behavior when it can be defined by two properties: A simple base case (or cases) — a terminating scenario that does not use recursion to produce an answer A recursive step — a set of rules that reduces all successive cases toward the ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the early 2000s, scholars noted a lack of theory and conceptual frameworks to inform and guide research and teacher preparation in technology integration. The classic definition of PCK proposed by Shulman included one dynamic and complex relationship between two different knowledge bodies: content knowledge and peda... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 1970s and early 1980s, the cost of making a phone call decreased and more business communication was done by phone. As corporations grew and labor rates increased, the ratio of secretaries to employees decreased. The initial solution to the phone communication problem for businesses was the “message center.” A m... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In planar graphs, the maximum independent set may be approximated to within any approximation ratio c < 1 in polynomial time; similar polynomial-time approximation schemes exist in any family of graphs closed under taking minors. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to fully specify the Bayesian network and thus fully represent the joint probability distribution, it is necessary to specify for each node X the probability distribution for X conditional upon X's parents. The distribution of X conditional upon its parents may have any form. It is common to work with discrete... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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