text stringlengths 5 1.02k | source stringclasses 1
value |
|---|---|
"Terry R. Payne-Research-He has been conducting research into the Semantic Web since 2000, and was one of the founder members of the OWL-S coalition, jointly responsible for developing the OWL-S ontology within the OWL-based framework of the Semantic Web, that supported the description of Semantic Web Services.\nThe OW... | large_corpus_distillation |
"Paired difference test-Use in reducing confounding-It is possible to reduce, but not necessarily eliminate, the effects of confounding variables by forming \"artificial pairs\" and performing a pairwise difference test. These artificial pairs are constructed based on additional variables that are thought to serve as c... | large_corpus_distillation |
"RSA numbers-RSA-240-RSA-240 has 240 decimal digits (795 bits), and was factored in November 2019 by Fabrice Boudot, Pierrick Gaudry, Aurore Guillevic, Nadia Heninger, Emmanuel Thom\u00e9 and Paul Zimmermann." | large_corpus_distillation |
"Oxygen XML Editor-XML editing features-In addition to tag completion, annotations in the schema will be displayed as tooltips for the elements that those annotations apply.\nFor schema formats that do not have a standard mechanism to bind the schema to the XML file, Oxygen XML provides a processing instruction that in... | large_corpus_distillation |
"Dot distribution map-Types of dot maps-One-to-one (point feature) A one-to-one dot map displays the a large number of point symbols representing the locations individual occurrences of a phenomenon. Many kinds of maps display geographic features as point symbols, such as cities; this category only applies to those tha... | large_corpus_distillation |
"Pool (computer science)-Pool (computer science)-In computer science, a pool is a collection of resources that are kept, in memory, ready to use, rather than the memory acquired on use and the memory released afterwards. In this context, resources can refer to system resources such as file handles, which are external t... | large_corpus_distillation |
"Swiss locomotive and railcar classification-The updated classification system-An example: 1995 delivered as BLS Re 465 004-0 later classified internally as BLS Re 465 | 95 63 0 465 004-0 2009 definitively renumbered as Re 465 | 91 85 4 465 004-0 CH-BLS " | large_corpus_distillation |
"Source lines of code-Measurement methods-Many useful comparisons involve only the order of magnitude of lines of code in a project. Using lines of code to compare a 10,000-line project to a 100,000-line project is far more useful than when comparing a 20,000-line project with a 21,000-line project. While it is debatab... | large_corpus_distillation |
segments on this basis and apply the threefold classification to each segment." | large_corpus_distillation |
"Git-Design-Pluggable merge strategies As part of its toolkit design, Git has a well-defined model of an incomplete merge, and it has multiple algorithms for completing it, culminating in telling the user that it is unable to complete the merge automatically and that manual editing is needed.\nGarbage accumulates until... | large_corpus_distillation |
"Queue management system-Queue management system-A queue management system is used to control queues. Queues of people form in various situations and locations in a queue area. The process of queue formation and propagation is defined as queuing theory." | large_corpus_distillation |
"Camel case-Current usage in computing-Programming and coding The use of medial caps for compound identifiers is recommended by the coding style guidelines of many organizations or software projects. For some languages (such as Mesa, Pascal, Modula, Java and Microsoft's .NET) this practice is recommended by the languag... | large_corpus_distillation |
"Equal detour point-Equal detour point-and the trilinear coordinates are cos cos cos cos cos cos cos cos cos \u206112\u03b3)." | large_corpus_distillation |
"Relational algebra-Common extensions-The full outer join is written as R \u27d7 S where R and S are relations. The result of the full outer join is the set of all combinations of tuples in R and S that are equal on their common attribute names, in addition to tuples in S that have no matching tuples in R and tuples in... | large_corpus_distillation |
"STM8-Changes compared to ST7-The multiply instruction stores the 16-bit product in the specified index register (e.g. X), rather than dividing it between X and A.\nIndirect addressing modes which fetch an 8-bit address from memory (opcodes 92 2x, 92 3x, 92 Bx, 92 6x, 92 Ex, 91 6x, and 91 Ex) have been deleted; all ind... | large_corpus_distillation |
"Word search-Strategies-If a word list is not provided, a way to find words is to go row by row. First, all the horizontal rows should be read both backwards and forwards, then the vertical, and so on. Sometimes the puzzle itself will help. The puzzles generated by a computer tend to put words in patterns. Furthermore,... | large_corpus_distillation |
the operand into the accumulator. Two memory-destination forms of this operation, XRL address,#data and XRL address,A, are specified by opcodes 0x63 and 0x62.\n7y: MOV operand,#data Move immediate to the operand. Immediate mode (opcode 0x74) specifies the accumulator, MOV A,#data.\n8y: MOV address,operand Move value to... | large_corpus_distillation |
"Degree of a polynomial-Behavior under polynomial operations-For polynomials over an arbitrary ring, the above rules may not be valid, because of cancellation that can occur when multiplying two nonzero constants. For example, in the ring Z/4Z of integers modulo 4, one has that deg deg \u2061(1+2x)=1 , but deg deg \... | large_corpus_distillation |
"Proof\nS k j j\nA procedure that generates the sequences in consists of steps. Step is to select the th coordinate.\nT k i\u22121 n i\u2208{1,2,\u2026,k}\nSuppose that is an ordered tree with depth and that each vertex at level has i children for . Then\nn n \u22efn\nthe number of endpoints of the tree is 1 2 k.\nProo... | large_corpus_distillation |
"Parameter word-Composition-For three given integer parameters n\u2265m\u2265k , it is possible to combine two parameter words, f\u2208A(nm) and g\u2208A(mk) , to produce another parameter word f\u2218g\u2208A(nk) . To do so, simply replace each copy of the i th wildcard symbol in f by the i th character in g .... | large_corpus_distillation |
"Risk-based testing-Assessing risks-Comparing the changes between two releases or versions is key in order to assess risk.\nEvaluating critical business modules is a first step in prioritizing tests, but it does not include the notion of evolutionary risk. This is then expanded using two methods: change-based testing a... | large_corpus_distillation |
"Concurrent data structure-Design and implementation-A key issue with the performance of concurrent data structures is the level of memory contention: the overhead in traffic to and from memory as a result of multiple threads concurrently attempting to access the same locations in memory. This issue is most acute with ... | large_corpus_distillation |
"Null cipher-Definition of a null-A null cipher is technically only a term for hidden letters or words within an otherwise unimportant message, however, it is occasionally used for the entire category of concealment ciphers." | large_corpus_distillation |
"Road collision types-Road collision types-Road traffic collisions generally fall into one of five common types:Lane departure crashes, which occur when a driver leaves the lane they are in and collides with another vehicle or a roadside object. These include head-on collisions and run-off-road collisions.\nCollisions ... | large_corpus_distillation |
"Adversarial machine learning-Attack modalities-In the extreme case, model extraction can lead to model stealing, which corresponds to extracting a sufficient amount of data from the model to enable the complete reconstruction of the model." | large_corpus_distillation |
"RSA (cryptosystem)-RSA (cryptosystem)-RSA (Rivest\u2013Shamir\u2013Adleman) is a public-key cryptosystem, one of the oldest, that is widely used for secure data transmission. The acronym \"RSA\" comes from the surnames of Ron Rivest, Adi Shamir and Leonard Adleman, who publicly described the algorithm in 1977. An equi... | large_corpus_distillation |
"Integer complexity-Upper and lower bounds-For example, when k = 10, x = 2 and the largest integer that can be expressed using ten ones is 22\u200a32 = 36. Its expression is (1 + 1) \u00d7 (1 + 1) \u00d7 (1 + 1 + 1) \u00d7 (1 + 1 + 1).Thus, the complexity of an integer n is at least 3\u200alog3\u200an. The complexity o... | large_corpus_distillation |
"Message precedence-Early telegraphic procedures-In the early days of telegraphy and radiotelegraphy, individual countries, and sometimes individual states, sometimes set their own regulations. For example, in the period around 1909, California required that \"messages must, if practicable, be transmitted immediately o... | large_corpus_distillation |
"Rekeying (cryptography)-Rekeying (cryptography)-In contemporary systems, rekeying is implemented by forcing a new key exchange, typically through a separate protocol like Internet key exchange (IKE). The procedure is handled transparently to the user.A prominent application is Wi-Fi Protected Access (WPA), the extende... | large_corpus_distillation |
"Error correction code-Error correction code-The maximum proportion of errors or missing bits that can be corrected is determined by the design of the ECC, so different forward error correcting codes are suitable for different conditions. In general, a stronger code induces more redundancy that needs to be transmitted ... | large_corpus_distillation |
and that the concern at Microsoft had more to do with the possible malicious code that could be redistributed with certified Microsoft updates.\"Kaladis revealed in the AutoPatcher Blog that his biggest concern after the project was shut down by Microsoft was that \"people around the globe [would] start writing their o... | large_corpus_distillation |
and \u03bd2 degrees of freedom respectively, then (X1/\u03bd1)/(X2/\u03bd2) is an F(\u03bd1, \u03bd2) random variable.\nIf X is a standard normal random variable and U is an independent chi-squared random variable with \u03bd degrees of freedom, then X(U/\u03bd) is a Student's t(\u03bd) random variable." | large_corpus_distillation |
"Condorcet method-Circular ambiguities-The method used to resolve circular ambiguities is the main difference between the various Condorcet methods. There are countless ways in which this can be done, but every Condorcet method involves ignoring the majorities expressed by voters in at least some pairwise matchings. So... | large_corpus_distillation |
"Planck constant-Value-As an illustration of this, suppose the decision of making h to be exact was taken in 2010, when its measured value was 6.62606957\u00d710\u221234 J\u22c5s, thus the present definition of kilogram was also enforced. In the future, the value of one kilogram must be refined to 6.62607015/6.62606957... | large_corpus_distillation |
"Open Document Architecture-Format-The documents have both logical and layout structures. Logically the text can be partitioned into chapters, footnotes and other subelements akin to HTML, and the layout fill a function similar to Cascading Style Sheets in the web world. The binary transport format for an ODA-conforman... | large_corpus_distillation |
sequence have shifted significantly towards conceptual probing for deeper understanding. Analyzing carefully kept records from the pre-JiTT early 1990s until the present, one finds that despite the increasingly more challenging questions, the scores have held steady and even improved in some semesters." | large_corpus_distillation |
yielding ab=q0+1q1+1q2+r2r1.\nThe final ratio of remainders rk/rk\u22121 can always be replaced using the next equation in the series, up to the final equation. The result is a continued fraction ab=q0+1q1+1q2+1\u22f1+1qN=[q0;q1,q2,\u2026,qN].\nIn the worked example above, the gcd(1071, 462) was calculated, and the quo... | large_corpus_distillation |
"Procedural memory-Drugs-Alcohol While the effects of alcohol have been studied immensely, even with respect to memory, there is limited research examining the effects of alcohol on procedural memory. Research conducted by Pitel A. L. et al. suggests that alcoholism impairs the ability to acquire semantic concepts. In ... | large_corpus_distillation |
"Constant folding-Constant folding and cross compilation-In implementing a cross compiler, care must be taken to ensure that the behaviour of the arithmetic operations on the host architecture matches that on the target architecture, as otherwise enabling constant folding will change the behaviour of the program. This ... | large_corpus_distillation |
"5.7: Detail- Efficient Source Code\nSometimes source coding and compression for communication systems of the sort shown in Figure 5.1 are done together (it is an\nopen question whether there are practical benefits to combining source and channel coding). For sources with a finite number of\nsymbols, but with unequal p... | large_corpus_distillation |
"Exponential time hypothesis-Implications-Communication complexity In the three-party set disjointness problem in communication complexity, three subsets of the integers in some range [1,m] are specified, and three communicating parties each know two of the three subsets. The goal is for the parties to transmit as few... | large_corpus_distillation |
of models. Between iterations (d) and (e) the algorithm decided, that it needs three Gaussian models for the 'best' fit." | large_corpus_distillation |
recurrence and invariant distributions for the reliability chains.\nRead the discussion of positive recurrence and limiting distributions for the birth-death chain.\nRead the discussion of positive recurrence and for the queuing chains.\nRead the discussion of positive recurrence and limiting distributions for the rand... | large_corpus_distillation |
"133 (number)-In mathematics-133 is an n whose divisors (excluding n itself) added up divide \u03c6(n). It is an octagonal number and a happy number.133 is a Harshad number, because it is divisible by the sum of its digits.\n133 is a repdigit in base 11 (111) and base 18 (77), whilst in base 20 it is a cyclic number fo... | large_corpus_distillation |
"Pseudoconvex function-Formal definition-Consider a differentiable function f:X\u2286Rn\u2192R , defined on a (nonempty) convex open set X of the finite-dimensional Euclidean space Rn . This function is said to be pseudoconvex if the following property holds: Equivalently: Here \u2207f is the gradient of f , defin... | large_corpus_distillation |
"Gradient-Motivation-More generally, if the hill height function H is differentiable, then the gradient of H dotted with a unit vector gives the slope of the hill in the direction of the vector, the directional derivative of H along the unit vector." | large_corpus_distillation |
"Intentional programming-Programming Example-By contrast, in an IP system, all definitions not only assign symbolic names, but also unique private identifiers to objects. This means that in the IP development environment, every reference to a variable or procedure is not just a name \u2013 it is a link to the original ... | large_corpus_distillation |
"Euler\u2013Maclaurin formula-The formula-The remainder term has an exact expression in terms of the periodized Bernoulli functions Pk(x). The Bernoulli polynomials may be defined recursively by B0(x) = 1 and, for k \u2265 1, The periodized Bernoulli functions are defined as where \u230ax\u230b denotes the largest inte... | large_corpus_distillation |
"Google Cloud Messaging-Technical details-Google Cloud Messaging functions using server APIs and SDKs, both maintained by Google. The GCM has the ability to send push notifications, deep-linking commands, and application data. Larger messages can be sent with up to 4 KB of payload data.Upon allowing the application per... | large_corpus_distillation |
to 32. There is also an ILP32 version called N32, which uses 32-bit pointers for smaller code, analogous to the x32 ABI. Both run under the 64-bit mode of the CPU. The N32 and N64 ABIs pass the first eight arguments to a function in the registers $a0-$a7; subsequent arguments are passed on the stack. The return value (... | large_corpus_distillation |
"Short code-Regional differences-Chile Codes are three and four digits in length." | large_corpus_distillation |
"Pentagonal number theorem-Relation with partitions-The identity implies a recurrence for calculating p(n) , the number of partitions of n: p(n)=p(n\u22121)+p(n\u22122)\u2212p(n\u22125)\u2212p(n\u22127)+\u22ef or more formally, p(n)=\u2211k\u22600(\u22121)k\u22121p(n\u2212gk) where the summation is over all nonzero in... | large_corpus_distillation |
"IEEE 802.11i-2004-Key hierarchy-PRF-n - Pseudo-random function producing n bits of output, there are the 128, 192, 256, 384 and 512 versions, each of these output these number of bits.The pairwise key hierarchy utilizes PRF-384 or PRF-512 to derive session-specific keys from a PMK, generating a PTK, which gets partiti... | large_corpus_distillation |
"Glossary of category theory-F-filtered 1. A filtered category (also called a filtrant category) is a nonempty category with the properties (1) given objects i and j, there are an object k and morphisms i \u2192 k and j \u2192 k and (2) given morphisms u, v: i \u2192 j, there are an object k and a morphism w: j \u2192 ... | large_corpus_distillation |
of individual organisms.Degree distribution: the degree distribution of an ecological network is the cumulative distribution for the number of links each species has. The degree distributions of food webs have been found to display the same universal functional form. The degree distribution can be split into its two co... | large_corpus_distillation |
"Estimation of signal parameters via rotational invariance techniques-General description-System model The model under investigation is the following (1-D version): This model describes some system which is fed with {\\textstyle K} inputs signals {\\textstyle x_{k}[t]\\in \\mathbb {C} } , with {\\textstyle k=1,\\ldo... | large_corpus_distillation |
"Training, validation, and test data sets-Training data set-A training data set is a data set of examples used during the learning process and is used to fit the parameters (e.g., weights) of, for example, a classifier.For classification tasks, a supervised learning algorithm looks at the training data set to determine... | large_corpus_distillation |
"Biolinguistics-Recent Developments-It becomes more clear that neither of these two systems can exist alone with regards to human language when we look at the phenomenon of 'labeling'. This phenomenon refers to how we classify the grammatical category of phrases, where the grammatical category of the phrase is dependen... | large_corpus_distillation |
"Arrangement of lines-Definition-Intuitively, any finite set of lines in the plane cuts the plane into two-dimensional polygons (cells), one-dimensional line segments or rays, and zero-dimensional crossing points. This can be formalized mathematically by classifying the points of the plane according to which side of ea... | large_corpus_distillation |
resistance might only be possible at an early phase of research and development. The theoretical and computational tools needed for hydrogen bomb design are closely related to those needed for inertial confinement fusion, but have very little in common with magnetic confinement fusion." | large_corpus_distillation |
"Literature circle-Assessment and evaluation-Extension projects Extension projects can take the form of numerous creative and artistic student products, from book jackets to visual media or printed forms. Projects provide readers with \"additional ways to revisit what they've read, continue the conversations (and the d... | large_corpus_distillation |
"English grammar-Word classes and phrases-Most verbs have three or four inflected forms in addition to the base form: a third-person singular present tense form in -(e)s (writes, botches), a present participle and gerund form in -ing (writing), a past tense (wrote), and \u2013 though often identical to the past tense f... | large_corpus_distillation |
"Average-Miscellaneous types-However, this method for generating means is not general enough to capture all averages. A more general method for defining an average takes any function g(x1, x2, ..., xn) of a list of arguments that is continuous, strictly increasing in each argument, and symmetric (invariant under permut... | large_corpus_distillation |
"Partition matroid-Clique complexes-A clique complex is a family of sets of vertices of a graph G that induce complete subgraphs of G . A clique complex forms a matroid if and only if G is a complete multipartite graph, and in this case the resulting matroid is a partition matroid. The clique complexes are exactly t... | large_corpus_distillation |
"LCP array-LCP array-In computer science, the longest common prefix array (LCP array) is an auxiliary data structure to the suffix array. It stores the lengths of the longest common prefixes (LCPs) between all pairs of consecutive suffixes in a sorted suffix array.\nFor example, if A := [aab, ab, abaab, b, baab] is a s... | large_corpus_distillation |
"Cumulative process-Cumulative process-Wicksell's main thesis, the disequilibrium engendered by real changes leads endogenously to an increase in the demand for money \u2013 and, simultaneously, its supply as banks try to accommodate it perfectly. Given full employment (a constant Y) and payments structure (constant V)... | large_corpus_distillation |
"Term logic-Aristotle's system-Following this tradition then, let: a = belongs to everye = belongs to noi = belongs to someo = does not belong to someCategorical sentences may then be abbreviated as follows: AaB = A belongs to every B (Every B is A)AeB = A belongs to no B (No B is A)AiB = A belongs to some B (Some B is... | large_corpus_distillation |
"Isolating language-Explanation-Although historically, languages were divided into three basic types (isolating, inflectional, agglutinative), the traditional morphological types can be categorized by two distinct parameters: morpheme per word ratio (how many morphemes there are per word) degree of fusion between morph... | large_corpus_distillation |
"Cartesian product-Most common implementation (set theory)-(A\u00d7B)\u00d7C\u2260A\u00d7(B\u00d7C) If for example A = {1}, then (A \u00d7 A) \u00d7 A = {((1, 1), 1)} \u2260 {(1, (1, 1))} = A \u00d7 (A \u00d7 A).\nIntersections, unions, and subsets The Cartesian product satisfies the following property with respect to ... | large_corpus_distillation |
density function of each of\nthe following random variables:\nY =\u230aT\u230b\n1.\nZ=\u2308T\u2309\n2.\nAnswer\nP(Y =n)=e\u2212rn(1\u2212e\u2212r) n\u2208N\n1. for\nP(Z=n)=e\u2212r(n\u22121)(1\u2212e\u2212r) n\u2208N\n2. for\n3.7.16 https://stats.libretexts.org/@go/page/10147" | large_corpus_distillation |
"Nutrition facts label-United States-Alcohol In the United States, alcoholic beverages are regulated by the Alcohol and Tobacco Tax and Trade Bureau (TTB). As of 2012, the TTB does not require alcoholic beverage packaging to have a nutrition facts label. Since at least 2003, consumer groups have lobbied the TTB to requ... | large_corpus_distillation |
number and 70 the second). It is also the eleventh nontotient (with 50 the fifth).90 is the third unitary perfect number (like 60), since it is the sum of its unitary divisors excluding itself, and because it is equal to the sum of a subset of its divisors, it is also a semiperfect number.The members of the first prime... | large_corpus_distillation |
"Test-driven development-Limitations-A high number of passing unit tests may bring a false sense of security, resulting in fewer additional software testing activities, such as integration testing and compliance testing." | large_corpus_distillation |
"Ridge detection-Definition of ridges and valleys in N dimensions-In its broadest sense, the notion of ridge generalizes the idea of a local maximum of a real-valued function. A point x0 in the domain of a function f:Rn\u2192R is a local maximum of the function if there is a distance \u03b4>0 with the property that ... | large_corpus_distillation |
"Power of two-Selected powers of two-2229 = 862,718,293,348,820,473,429,344,482,784,628,181,556,388,621,521,298,319,395,315,527,974,912 2229 is the largest known power of two containing the least number of zeros relative to its power. It is conjectured by Metin Sariyar that every digit 0 to 9 is inclined to appear an e... | large_corpus_distillation |
"Open-source software development-Tools-Bug trackers and task lists Most large-scale projects require a bug tracking system to keep track of the status of various issues in the development of the project." | large_corpus_distillation |
"Collective Induction-Do groups perform better than individuals?-The first researchers to test if group performance is better than individual performance were Laughlin and Shippy in 1983. They found that groups performed better than individuals, proposing more plausible hypotheses and finding the correct rule with fewe... | large_corpus_distillation |
"Assignment problem-Algorithms-A naive solution for the assignment problem is to check all the assignments and calculate the cost of each one. This may be very inefficient since, with n agents and n tasks, there are n! (factorial of n) different assignments. Fortunately, there are many algorithms for solving the proble... | large_corpus_distillation |
"One-time pad-Example-Suppose Alice wishes to send the message hello to Bob. Assume two pads of paper containing identical random sequences of letters were somehow previously produced and securely issued to both. Alice chooses the appropriate unused page from the pad. The way to do this is normally arranged for in adva... | large_corpus_distillation |
"Polynomial-Equations-The special case where all the polynomials are of degree one is called a system of linear equations, for which another range of different solution methods exist, including the classical Gaussian elimination." | large_corpus_distillation |
"Wisdom of the crowd-Wisdom of the crowd-The wisdom of the crowd is the collective opinion of a diverse independent group of individuals rather than that of a single expert. This process, while not new to the Information Age, has been pushed into the mainstream spotlight by social information sites such as Quora, Reddi... | large_corpus_distillation |
if and . If and then\nx\u2aafy y\u2aafz x\u2aafz x=z x\u2aafy y\u2aafx x=y x\u2260z\nand , and so . On the other hand, if then and so , a contradiction. Hence and so\nx\u227az \u227a x\u227ay x\u2260y \u227a\n. Therefore is transitive. If then by definition, so is irreflexive.\n\u227a S \u2aaf x\u2aafy x\u227ay\nConver... | large_corpus_distillation |
"Hadamard code-Constructions-where yi\u2208{0,1}k is the i -th binary vector in lexicographical order.\nFor example, the generator matrix for the Hadamard code of dimension k=3 is: G=[000011110011001101010101].\nThe matrix G is a (k\u00d72k) -matrix and gives rise to the linear operator Had :{0,1}k\u2192{0,1}2k T... | large_corpus_distillation |
"Bop It-Sister products-Torx The Torx is an audio game developed by Big Monster Toys under Hasbro that was released in 2000. The game has two twistable circles and two bendable arms that can bend in different angles 90 degrees. The game has four modes: Follow My Command, Find My Shape, Torx Says and Pass Torx. In Follo... | large_corpus_distillation |
"Fowler\u2013Noll\u2013Vo hash function-Non-cryptographic hash-Diffusion \u2013 The ideal secure hash function is one in which each byte of input has an equally-complex effect on every bit of the hash. In the FNV hash, the ones place (the rightmost bit) is always the XOR of the rightmost bit of every input byte. This c... | large_corpus_distillation |
Composite Functions\nConsider the function f with domain A and range B, and the function g with domain D and range E. If B is a subset of D,\nthen the composite function (g\u2218f)(x) is the function with domain A such that\n(g\u2218f)(x)=g(f(x))\nA composite function g\u2218f can be viewed in two steps. First, the fun... | large_corpus_distillation |
"Highly composite number-Prime factorization-Roughly speaking, for a number to be highly composite it has to have prime factors as small as possible, but not too many of the same. By the fundamental theorem of arithmetic, every positive integer n has a unique prime factorization: n=p1c1\u00d7p2c2\u00d7\u22ef\u00d7pkck(... | large_corpus_distillation |
"Lubin\u2013Tate formal group law-Generating ramified extensions-A Lubin\u2013Tate extension of a local field K is an abelian extension of K obtained by considering the p-division points of a Lubin\u2013Tate group. If g is an Eisenstein polynomial, f(t) = t g(t) and F the Lubin\u2013Tate formal group, let \u03b8n denot... | large_corpus_distillation |
"XUnit-xUnit architecture-All xUnit frameworks share the following basic component architecture, with some varied implementation details.\nTest runner A test runner is an executable program that runs tests implemented using an xUnit framework and reports the test results.\nTest case A test case is the most elemental cl... | large_corpus_distillation |
"K (programming language)-Examples-> returns the indices that would sort a list of values in descending order.\n@ uses the integer values on the right to index into the original list of strings.A function to determine if a number is prime can be written as: The function is evaluated from right to left: !x enumerate the... | large_corpus_distillation |
"Figure 14.6.2: Finding the directional derivative in a given direction \u21c0u at a given point on a surface. The plane is tangent to the\nsurface at the given point (\u22121,2,15).\nAn easier approach to calculating directional derivatives that involves partial derivatives is outlined in the following theorem.\n\uf08... | large_corpus_distillation |
"Synchronization (computer science)-Minimizing synchronization-Barriers Barriers are simple to implement and provide good responsiveness. They are based on the concept of implementing wait cycles to provide synchronization. Consider three threads running simultaneously, starting from barrier 1. After time t, thread1 re... | large_corpus_distillation |
"Password Authenticated Key Exchange by Juggling-Description-In practice, it is more likely to implement J-PAKE in three flows since one party shall normally take the initiative. This can be done trivially without loss of security. Suppose Alice initiates the communication by sending to Bob: gx1,gx2 and Zero-knowledge... | large_corpus_distillation |
"Commonsense reasoning-Commonsense in intelligent tasks-In 1961, Bar Hillel first discussed the need and significance of practical knowledge for natural language processing in the context of machine translation. Some ambiguities are resolved by using simple and easy to acquire rules. Others require a broad acknowledgem... | large_corpus_distillation |
"Group testing-Formalisation of combinatorial group testing-In fact, the information lower bound can be generalised to the case where there is a non-zero probability that the algorithm makes an error. In this form, the theorem gives us an upper bound on the probability of success based on the number of tests. For any g... | large_corpus_distillation |
"Eventing-National competition-Ev70: 1500 m to 2200 m cross country course, 15-20 efforts, 70 cm maximum height, 80 cm maximum drop, ridden at 420 metres per minute; Show jumping at 75 cm maximum height, ridden at 325 metres per minute.\nEv80: 1800 m to 2400 m cross country course, 18-24 efforts, 80 cm maximum height, ... | large_corpus_distillation |
when the CPU is reset. The first memory location the CPU tries to execute is known as the reset vector. In the case of a hard reboot, the northbridge will direct this code fetch (request) to the BIOS located on the system flash memory. For a warm boot, the BIOS will be located in the proper place in RAM and the northbr... | large_corpus_distillation |
"Gramps (software)-Languages-Gramps is available in 45 languages (December 2014)." | large_corpus_distillation |
"6.8 \u2022 Fitting Exponential Models to Data 765\na. Select \u201cExpReg\u201d from theSTATthenCALCmenu.\nb. Use the values returned foraandbto record the model,\n4. Graph the model in the same window as the scatterplot to verify it is a good fit for the data.\nEXAMPLE1\nUsing Exponential Regression to Fit a Model to... | large_corpus_distillation |
"Insertion sort-Variants-D.L. Shell made substantial improvements to the algorithm; the modified version is called Shell sort. The sorting algorithm compares elements separated by a distance that decreases on each pass. Shell sort has distinctly improved running times in practical work, with two simple variants requiri... | large_corpus_distillation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.