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In some older virtual memory operating systems, space in swap backing store is reserved when programs allocate memory for runtime data. Operating system vendors typically issue guidelines about how much swap space should be allocated. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In most legal proceedings, one party has a burden of proof, which requires it to present prima facie evidence for all of the essential facts in its case. If it cannot, its claim may be dismissed without any need for a response by other parties. A prima facie case might not stand or fall on its own; if an opposing party... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
and by Stanley P. Frankel in 1950 for the purpose of automatically solving linear systems on digital computers. Over-relaxation methods had been used before the work of Young and Frankel. An example is the method of Lewis Fry Richardson, and the methods developed by R. V. Southwell. However, these methods were designed... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle, or extended ideal) is a formal product of places of a global field (i.e. an algebraic number field or a global function field). It is used to encode ramification data for abelian extensions of a global field. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 1993 book "Information Coordination: The Management of Information Models, Systems, and Organizations" Veryard gives a snapshot of the state of the art around these subjects. "Maximizing the value of corporate data depends upon being able to manage information models both within and between businesses. A central... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Only call packets from or destined to a phone serviced by the concentrator actually are processed by the concentrator — nonlocal phones' time slots just pass through the concentrator unchanged. If the concentrator malfunctions, a fail-safe relay connects the "in" wires to the "out" wires, and nonlocal phones detect no ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Considering even the simple case of exponentiation as a primitive recursive function, and that the composition of primitive recursive functions is primitive recursive, one can begin to see how quickly a primitive recursive function can grow. And any function that can be computed by a Turing machine in a running time bo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Abstract datatypes are structures of concrete datatypes, with a new name assigned. For example, a list of integers could be called integer_list. In object-oriented jargon, abstract datatypes are called classes. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Even if they are uncorrelated, we cannot tell which factor corresponds to verbal intelligence and which corresponds to mathematical intelligence without an outside argument. The values of the loadings L {\displaystyle L} , the averages μ {\displaystyle \mu } , and the variances of the "errors" ε {\displaystyle \varepsi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The equivalence class of a set A under this relation, then, consists of all those sets which have the same cardinality as A. There are two ways to define the "cardinality of a set": The cardinality of a set A is defined as its equivalence class under equinumerosity. A representative set is designated for each equivalen... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a minimum bottleneck spanning tree (MBST) in an undirected graph is a spanning tree in which the most expensive edge is as cheap as possible. A bottleneck edge is the highest weighted edge in a spanning tree. A spanning tree is a minimum bottleneck spanning tree if the graph does not contain a spanning ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telephony, a service switching point (SSP) is the telephone exchange that initially responds, when a telephone caller dials a number, by sending a query to a central database called a service control point (SCP) so that the call can be handled. The service switching point uses the Signalling System No. 7 (SS7) proto... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and statistics, the arithmetic mean ( arr-ith-MET-ik), arithmetic average, or just the mean or average (when the context is clear) is the sum of a collection of numbers divided by the count of numbers in the collection. The collection is often a set of results from an experiment, an observational study, ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Clustering of machines and parts is one of the most popular production flow analysis methods. The algorithms for machine part grouping include Rank Order Clustering, Modified Rank Order Clustering, and Similarity coefficients. There are also a number of mathematical models and algorithms to aid in planning a cellular m... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In some data exfiltration scenarios, a large amount of aggregated data may be exfiltrated. However, in these and other scenarios, it is likely that certain types of data may be targeted. Types of data that are targeted includes: Usernames, associated passwords, and other system authentication related information Inform... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the 1960s, theoretical research in computer science on regular expressions and finite automata led to the discovery that context-free grammars are equivalent to nondeterministic pushdown automata. These grammars were thought to capture the syntax of computer programming languages. The first high-level computer progr... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple example is the subgroup of invertible 2 × 2 integer matrices of determinant 1 in which the off-diagonal entries are even. More generally, the notion of congruence sub... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a self-descriptive number is an integer m that in a given base b is b digits long in which each digit d at position n (the most significant digit being at position 0 and the least significant at position b−1) counts how many instances of digit n are in m. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In music theory, an inversion is a type of change to intervals, chords, voices (in counterpoint), and melodies. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
It is not a cogent and simple way. It is claimed to be precise, but precise for what purpose? | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In software engineering, a software development process is a process of planning and managing software development. It typically involves dividing software development work into smaller, parallel, or sequential steps or sub-processes to improve design and/or product management. It is also known as a software developmen... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In software, a stack buffer overflow or stack buffer overrun occurs when a program writes to a memory address on the program's call stack outside of the intended data structure, which is usually a fixed-length buffer. Stack buffer overflow bugs are caused when a program writes more data to a buffer located on the stack... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order to formulate a classical field theory, the following structures are needed: | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The classes in a class diagram represent both the main elements, interactions in the application, and the classes to be programmed. In the diagram, classes are represented with boxes that contain three compartments: The top compartment contains the name of the class. It is printed in bold and centered, and the first le... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The algorithm performs a series of iterations, each consisting of two basic steps: Authority update: Update each node's authority score to be equal to the sum of the hub scores of each node that points to it. That is, a node is given a high authority score by being linked from pages that are recognized as Hubs for info... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The term generalized inverse is sometimes used as a synonym for pseudoinverse. A common use of the pseudoinverse is to compute a "best fit" (least squares) solution to a system of linear equations that lacks a solution (see below under § Applications). Another use is to find the minimum (Euclidean) norm solution to a s... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the absence of interference, there are two factors at play when recalling a list of items: the recency and the primacy effects. The recency effect occurs when the short-term memory is used to remember the most recent items, and the primacy effect occurs when the long-term memory has encoded the earlier items. The re... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The trade secret law varies from country to country, unlike the case for patents, trademarks and copyright for which there are formal conventions through which subscribing countries grant the same protection to the property as the others; examples of which are the Paris Convention for the Protection of Industrial Prope... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Moreover, many authors qualify as theorems only the most important results, and use the terms lemma, proposition and corollary for less important theorems. In mathematical logic, the concepts of theorems and proofs have been formalized in order to allow mathematical reasoning about them. In this context, statements bec... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Rack (1984 and 2013), for the case n = 3, the explicit values of the optimal (unique and zero-symmetric) 4 interpolation nodes and the explicit value of the minimal Lebesgue constant are known. All arbitrary optimal sets of 4 interpolation nodes in when n = 3 have been explicitly determined, in two different but equiv... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
While Principles of Operation discusses the TLB in general terms, the details are not part of the architecture and vary from model to model. Starting with the 3031, 3032, and 3033 processor complexes, IBM offered a feature called Dual-address Space: 5-13–5-17, Dual-Address-Space Control: 5-17–5-20, DAS Authorization Me... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
10 consecutive 0 bits followed by a 1 bit provide frame synchronization.One frame is sent at the desired sample rate, for a bit rate of 256×48 kHz = 12.288 Mbit/s. This is twice the baud rate used by S/PDIF (3.072 Mbit/s, doubled by biphase coding to 6.144 MBd), but still within the specified 15 Mbaud capacity of the p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics texts it is customary to denote permutations using lowercase Greek letters. Commonly, either α {\displaystyle \alpha } and β , {\displaystyle \beta ,} or σ , τ {\displaystyle \sigma ,\tau } and π {\displaystyle \pi } are used.Permutations can be defined as bijections from a set S onto itself. All permuta... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the following example, the vector p does not escape into g, so it can be allocated on the stack and then removed from the stack before calling g. If, however, we had then either p would need to be allocated on the heap or (if g is known to the compiler when f is compiled, and behaves well) allocated on the stack in ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In subtyping systems, the bottom type is a subtype of all types. It is dual to the top type, which spans all possible values in a system. If a type system is sound, the bottom type is uninhabited and a term of bottom type represents a logical contradiction. In such systems, typically no distinction is drawn between the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, Brun's theorem states that the sum of the reciprocals of the twin primes (pairs of prime numbers which differ by 2) converges to a finite value known as Brun's constant, usually denoted by B2 (sequence A065421 in the OEIS). Brun's theorem was proved by Viggo Brun in 1919, and it has historical importa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
That provides a clear and structured approach to the description of shared data and the coordination and communication between concurrent processes. This method is flexible in its ability to express timing, and can be used in different ways. In addition, path expressions are useful for process synchronization for two r... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the Bantu languages, attributive verbs are formed by the addition of the "pre-prefix" (or "initial vowel"). For example, in Luganda: Abasajja batambula "The men walk" (predicative) Abasajja abatambula "The men who walk" (attributive)This is similar to the behaviour of attributive adjectives: Abasajja bagagga "The me... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In metadata, a synonym ring or synset, is a group of data elements that are considered semantically equivalent for the purposes of information retrieval. These data elements are frequently found in different metadata registries. Although a group of terms can be considered equivalent, metadata registries store the synon... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a Schur-convex function, also known as S-convex, isotonic function and order-preserving function is a function f: R d → R {\displaystyle f:\mathbb {R} ^{d}\rightarrow \mathbb {R} } that for all x , y ∈ R d {\displaystyle x,y\in \mathbb {R} ^{d}} such that x {\displaystyle x} is majorized by y {\displays... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In UPSR, the data is transmitted in both directions, clock and counter clock wise, at the source ADM. At the destination then, both signals are compared and the best one of the two is selected. If a failure occurs then the destination just needs to switch to the unaffected path. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In telecommunication, a basic exchange telecommunications radio service (BETRS) is a commercial service that can extend telephone service to rural areas by replacing the local loop with radio communications. In the BETRS, non-government ultra high frequency (UHF) and very high frequency (VHF) common carrier and the pri... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Convergence is usually non-monotone, that is, neither the objective function nor the residual or gradient magnitude necessarily decrease with each iteration along a successful convergence toward the solution. If f {\displaystyle f} is a quadratic function with Hessian A {\displaystyle A} , 1 / α L O N G {\displaystyle ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The CP decomposition has found some applications in linguistics and chemometrics. The CP rank was introduced by Frank Lauren Hitchcock in 1927 and later rediscovered several times, notably in psychometrics. The CP decomposition is referred to as CANDECOMP, PARAFAC, or CANDECOMP/PARAFAC (CP). PARAFAC2 rank decomposition... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{\displaystyle \left(\pm a^{\frac {p+1}{4}}\right)^{2}=a^{\frac {p+1}{2}}=a\cdot a^{\frac {p-1}{2}}\equiv a\left({\frac {a}{p}}\right)=a{\bmod {p}}.} This formula only works if it is known in advance that a {\displaystyle a} is a quadratic residue, which can be checked using the law of quadratic reciprocity. The quadra... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In numerical mathematics, artificial precision is a source of error that occurs when a numerical value or semantic is expressed with more precision than was initially provided from measurement or user input. For example, a person enters their birthday as the date 1984-01-01 but it is stored in a database as 1984-01-01T... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Bob proceeds to generate a string of random bits b ′ {\displaystyle b'} of the same length as b {\displaystyle b} and then measures the qubits he has received from Alice, obtaining a bit string a ′ {\displaystyle a'} . At this point, Bob announces publicly that he has received Alice's transmission. Alice then knows she... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In practice, we can construct one specific rank factorization as follows: we can compute B {\textstyle B} , the reduced row echelon form of A {\textstyle A} . Then C {\textstyle C} is obtained by removing from A {\textstyle A} all non-pivot columns (which can be determined by looking for columns in B {\textstyle B} whi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the Unicode standard, a plane is a continuous group of 65,536 (216) code points. There are 17 planes, identified by the numbers 0 to 16, which corresponds with the possible values 00–1016 of the first two positions in six position hexadecimal format (U+hhhhhh). Plane 0 is the Basic Multilingual Plane (BMP), which co... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The network does this by utilising the Authentication Center and is accomplished without transmitting the key directly. Every GSM phone contains a unique identifier (different from the phone number), called the International Mobile Equipment Identity (IMEI). This can be found by dialing *#06#. When a phone contacts the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Concretely, in a linear regression where the errors are identically distributed, the variability of residuals of inputs in the middle of the domain will be higher than the variability of residuals at the ends of the domain: linear regressions fit endpoints better than the middle. This is also reflected in the influence... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
These are set on objects by the higher-level storage systems that use the OSD for persistent storage. For example, attributes might be used to classify objects, or to capture relationships among different objects stored on different OSDs. A list command returns a list of identifiers for objects within a partition, opti... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the following, we have n kinds of items, a 1 {\displaystyle a_{1}} through a n {\displaystyle a_{n}} and m kinds of bins b 1 {\displaystyle b_{1}} through b m {\displaystyle b_{m}} . Each bin b i {\displaystyle b_{i}} is associated with a budget t i {\displaystyle t_{i}} . For a bin b i {\displaystyle b_{i}} , each ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
OpenSocial Markup Language (OSML Markup) is a new set of standardized tags to accomplish common tasks or safely perform normally unsafe operations within templates. OSML is extensible. Developers can create a library of their own custom tags. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
There are two ways to give consent: explicit consent or implied consent. Explicit consent is when a patient clearly communicates to a healthcare worker, verbally or in writing or in some other way, that relevant confidential information can be shared. Implied consent, means that a patient's consent to share personal co... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Subsequences can contain consecutive elements which were not consecutive in the original sequence. A subsequence which consists of a consecutive run of elements from the original sequence, such as ⟨ B , C , D ⟩ , {\displaystyle \langle B,C,D\rangle ,} from ⟨ A , B , C , D , E , F ⟩ , {\displaystyle \langle A,B,C,D,E,F\... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the case of integrating supplemental data source, KG(Knowledge graph) formally represents the meaning involved in information by describing concepts, relationships between things, and categories of things. These embedded semantics with the data offer significant advantages such as reasoning over data and dealing wit... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In number theory, the Chinese hypothesis is a disproven conjecture stating that an integer n is prime if and only if it satisfies the condition that 2 n − 2 {\displaystyle 2^{n}-2} is divisible by n—in other words, that an integer n is prime if and only if 2 n ≡ 2 mod n {\displaystyle 2^{n}\equiv 2{\bmod {n}}} . It is ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Now if the domain is a set, the function comprehension principle, also called axiom of unique choice or non-choice, says that a function as a set, with some codomain, exists well. (And this principle is valid in a theory like C Z F {\displaystyle {\mathsf {CZF}}} . Also compare with the Replacement axiom.) | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In 1912, British engineer Arthur Pollen developed the first electrically powered mechanical analogue computer (called at the time the Argo Clock). It was used by the Imperial Russian Navy in World War I. The alternative Dreyer Table fire control system was fitted to British capital ships by mid-1916. Mechanical devices... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In robot motion planning, a Pfaffian constraint is a set of k linearly independent constraints linear in velocity, i.e., of the form One source of Pfaffian constraints is rolling without slipping in wheeled robots. == References == | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a relative scalar (of weight w) is a scalar-valued function whose transform under a coordinate transform, on an n-dimensional manifold obeys the following equation where that is, the determinant of the Jacobian of the transformation. A scalar density refers to the w = 1 {\displaystyle w=1} case. Relativ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In 1969 Frank DeRemer invented the LALR and Simple LR parsers, both based on the LR parser and having greatly reduced memory requirements at the cost of less language recognition power. The LALR parser was the stronger alternative. These two parsers have since been widely used in compilers of many computer languages. R... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Branching processes can also be used to model other systems with similar dynamics, e.g., the spread of surnames in genealogy or the propagation of neutrons in a nuclear reactor. A central question in the theory of branching processes is the probability of ultimate extinction, where no individuals exist after some finit... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, a translation plane is a projective plane which admits a certain group of symmetries (described below). Along with the Hughes planes and the Figueroa planes, translation planes are among the most well-studied of the known non-Desarguesian planes, and the vast majority of known non-Desarguesian planes ar... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and computer science, currying is the technique of translating the evaluation of a function that takes multiple arguments into evaluating a sequence of functions, each with a single argument. For example, currying a function f {\displaystyle f} that takes three arguments creates a nested unary function g... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical analysis, the maximum and minimum of a function are, respectively, the largest and smallest value taken by the function. Known generically as extremum, they may be defined either within a given range (the local or relative extrema) or on the entire domain (the global or absolute extrema) of a function. ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In socio-hydrology, it is often assumed that societies build flood memory after extreme events. Flood memory is considered as a primary mechanism explaining the emergence of levee effects. It is hyphosised to be built after flooding and proportional to associated losses. Flood memory does decay over time. It is very di... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
. , k − 1 {\displaystyle 1,2,...,k-1} , find the best cover that does not violate the budget. Call this cover H 1 {\displaystyle H_{1}} . | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In quantum mechanics, different possibilities can cancel. In probability theory with a finite number of states, the probabilities can always be multiplied by a positive number to make their sum equal to one. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the Germanic languages, a strong verb is a verb that marks its past tense by means of changes to the stem vowel. The majority of the remaining verbs form the past tense by means of a dental suffix, and are known as weak verbs. In modern English, strong verbs include sing (present I sing, past I sang, past participle... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Next is that the errors in behavior suggest internal plans for what will be done later. Also, the time to initiate a movement sequence can increase with the length or complexity of the sequence. The next line is the properties of movements occurring early in a sequence can anticipate later features. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, especially in order theory, a maximal element of a subset S of some preordered set is an element of S that is not smaller than any other element in S. A minimal element of a subset S of some preordered set is defined dually as an element of S that is not greater than any other element in S. The notions ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In music theory, the scale degree is the position of a particular note on a scale relative to the tonic—the first and main note of the scale from which each octave is assumed to begin. Degrees are useful for indicating the size of intervals and chords and whether an interval is major or minor. In the most general sense... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, informally speaking, Euclid's orchard is an array of one-dimensional "trees" of unit height planted at the lattice points in one quadrant of a square lattice. More formally, Euclid's orchard is the set of line segments from (x, y, 0) to (x, y, 1), where x and y are positive integers. The trees visible f... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
For this problem: Auletta, De Prisco, Penna and Persiano presented a 4-approximation monotone algorithm, which runs in polytime when the number of machines is fixed. Ambrosio and Auletta proved that the Longest Processing Time algorithm is monotone whenever the machine speeds are powers of some c ≥ 2, but not when c ≤ ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the first and second editions of A Dictionary of Modern English Usage Fowler uses the heading false scent to explain writing that causes the reader to second-guess: because the writer knows what is coming ahead, he may forget that his reader does not, and unwittingly "lay false scent" by writing something ambiguous ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
This can be compared with the classical discrete Fourier transform, which takes O ( n 2 n ) {\displaystyle O(n2^{n})} gates (where n {\displaystyle n} is the number of bits), which is exponentially more than O ( n 2 ) {\displaystyle O(n^{2})} . The quantum Fourier transform acts on a quantum state vector (a quantum reg... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In order for the conditions for atomic broadcast to be satisfied, the participants must effectively "agree" on the order of receipt of the messages. Participants recovering from failure, after the other participants have "agreed" an order and started to receive the messages, must be able to learn and comply with the ag... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical finite group theory, a group of GF(2)-type is a group with an involution centralizer whose generalized Fitting subgroup is a group of symplectic type (Gorenstein 1982, definition 1.45). As the name suggests, many of the groups of Lie type over the field with 2 elements are groups of GF(2)-type. Also 16 ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematical optimization, the cutting-plane method is any of a variety of optimization methods that iteratively refine a feasible set or objective function by means of linear inequalities, termed cuts. Such procedures are commonly used to find integer solutions to mixed integer linear programming (MILP) problems, a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In probability theory, conditional independence describes situations wherein an observation is irrelevant or redundant when evaluating the certainty of a hypothesis. Conditional independence is usually formulated in terms of conditional probability, as a special case where the probability of the hypothesis given the un... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In queueing theory, a discipline within the mathematical theory of probability, a heavy traffic approximation (sometimes heavy traffic limit theorem or diffusion approximation) is the matching of a queueing model with a diffusion process under some limiting conditions on the model's parameters. The first such result wa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the basic SIP specification, only requests and final responses (i.e. 2XX response codes) are transmitted reliably, this is, they are retransmitted by the sender until the acknowledge message arrives (i.e. the corresponding response code to a request, or the ACK request corresponding to a 2XX response code). This mec... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Two regularization parameters are used in this framework: λ {\displaystyle \lambda } for the estimation of C ^ Y X π , C ^ X X π = Υ D Υ T {\displaystyle {\widehat {\mathcal {C}}}_{YX}^{\pi },{\widehat {\mathcal {C}}}_{XX}^{\pi }={\boldsymbol {\Upsilon }}\mathbf {D} {\boldsymbol {\Upsilon }}^{T}} and λ ~ {\displaystyle... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
On the other hand, to each continuous map there is associated both a direct image functor, taking sheaves and their morphisms on the domain to sheaves and morphisms on the codomain, and an inverse image functor operating in the opposite direction. These functors, and certain variants of them, are essential parts of she... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
As an example, the greatest common divisor of 15 and 69 is 3, and 3 can be written as a combination of 15 and 69 as 3 = 15 × (−9) + 69 × 2, with Bézout coefficients −9 and 2. Many other theorems in elementary number theory, such as Euclid's lemma or the Chinese remainder theorem, result from Bézout's identity. A Bézout... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In other words, each quantifier is a family of properties on dom(A), so each is called a monadic quantifier. Any quantifier defined as an n > 0-ary relation between properties on dom(A) is called monadic. Lindström introduced polyadic ones that are n > 0-ary relations between relations on domains of structures. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics in general, a characterization theorem says that a particular object – a function, a space, etc. – is the only one that possesses properties specified in the theorem. A characterization of a probability distribution accordingly states that it is the only probability distribution that satisfies specified ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
While this allows non-standard interpretations of symbols such as + {\displaystyle +} , one can restrict their meaning by providing additional axioms. The satisfiability modulo theories problem considers satisfiability of a formula with respect to a formal theory, which is a (finite or infinite) set of axioms. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In non-relational systems, hierarchical databases, the distant counterpart of a table is a structured file, representing the rows of a table in each row of the file and each column in a row. This structure implies that a row can have repeating information, generally in the child data segments. Data are stored in sequen... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In the field of retrieval systems, established approaches include: Data retrieval systems, such as database management systems, are well suitable for the storage and retrieval of structured data. Information retrieval systems, such as web search engines, are very effective in finding the relevant documents or web pages... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
Most such devices include a tiny postage-stamp-sized LCD screen for viewing simplified ladder logic (only a very small portion of the program being visible at a given time) and status of I/O points, and typically these screens are accompanied by a 4-way rocker push-button plus four more separate push-buttons, similar t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics and geographic information science, a shortest-path graph is an undirected graph defined from a set of points in the Euclidean plane. The shortest-path graph is proposed with the idea of inferring edges between a point set such that the shortest path taken over the inferred edges will roughly align with ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
There are also examples for which the minimal number of cells is doubly exponential, showing that every general algorithm for cylindrical algebraic decomposition has a double exponential complexity. CAD provides an effective version of quantifier elimination over the reals that has a much better computational complexit... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{\displaystyle \textstyle {\frac {n!}{k!(n-k)!}}} whenever k ≤ n {\displaystyle k\leq n} , and which is zero when k > n {\displaystyle k>n} . This formula can be derived from the fact that each k-combination of a set S of n members has k ! | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In practice, Wilson's theorem is useless as a primality test because computing (n − 1)! modulo n for large n is computationally complex, and much faster primality tests are known (indeed, even trial division is considerably more efficient).Used in the other direction, to determine the primality of the successors of lar... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In mathematics, and in particular game theory, Sion's minimax theorem is a generalization of John von Neumann's minimax theorem, named after Maurice Sion. It states: Let X {\displaystyle X} be a compact convex subset of a linear topological space and Y {\displaystyle Y} a convex subset of a linear topological space. If... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
In set theory, #S is one possible notation for the cardinality or size of the set S, instead of | S | {\displaystyle |S|} . That is, for a set S = { s 1 , s 2 , s 3 , … , s n } {\displaystyle S=\{s_{1},s_{2},s_{3},\dots ,s_{n}\}} , in which all s i {\displaystyle s_{i}} are mutually distinct, # S = n = | S | . {\displa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
The same argument repeated (by symmetry of the problem) is valid when ω {\displaystyle \omega } starts with a negative rotation about the z axis, or a rotation about the x axis. This shows that if ω {\displaystyle \omega } is given by a non-trivial word in A and B, then ω ≠ e {\displaystyle \omega \neq e} . Therefore, ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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