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"13 / 5\n2\n2.6\n3\n13 % 5\n2\n2.6\n3\n1 // 4\n0\n0.25\n1\n2 % 0\n0\n2\nError\n193 // 100\n193 % 100\nm\nm m" | large_corpus_distillation |
a\ncolumn has a zero entry, expanding by that row or column results in less calculations.\nEXAMPLE3\nEvaluate the determinant of the 3x3 matrix by expanding by minors along the first row\nSolution\nExpand by minors along the first row" | large_corpus_distillation |
"Combinatorial design-Other combinatorial designs-The number of points of an HTS is 3m for some integer m \u2265 2. Nonaffine HTSs exist for any m \u2265 4 and do not exist for m = 2 or 3." | large_corpus_distillation |
"Spray characteristics-Characteristics-Data collection repeatability and accuracy An average value drop size test result is repeatable if the data from individual tests do not deviate by more than \u00b110%; however, this may be larger or smaller depending on several factors. Accuracy requires a primary standard which ... | large_corpus_distillation |
"Password-Factors in the security of a password system-Limits on the number of password guesses An alternative to limiting the rate at which an attacker can make guesses on a password is to limit the total number of guesses that can be made. The password can be disabled, requiring a reset, after a small number of conse... | large_corpus_distillation |
"Inflection-Examples in English-There are eight inflectional affixes in the English language." | large_corpus_distillation |
"Self-reference effect-Self-reference effect-The self-reference effect is a tendency for people to encode information differently depending on whether they are implicated in the information. When people are asked to remember information when it is related in some way to themselves, the recall rate can be improved." | large_corpus_distillation |
just the root mean square (RMS) value of the set of short circuit measurements." | large_corpus_distillation |
"Compound of 5-cube and 5-orthoplex-Construction-The 42 Cartesian coordinates of the vertices of the compound are.\n10: (\u00b12, 0, 0, 0, 0), (0, \u00b12, 0, 0, 0), (0, 0, \u00b12, 0, 0), (0, 0, 0, \u00b12, 0), (0, 0, 0, 0, \u00b12) 32: (\u00b11, \u00b11, \u00b11, \u00b11, \u00b11)The convex hull of the vertices makes... | large_corpus_distillation |
"Lemoine's conjecture-Example-For example, 47 = 13 + 2 \u00d7 17 = 37 + 2 \u00d7 5 = 41 + 2 \u00d7 3 = 43 + 2 \u00d7 2. (sequence A046927 in the OEIS) counts how many different ways 2n + 1 can be represented as p + 2q." | large_corpus_distillation |
"Euler's sum of powers conjecture-Euler's sum of powers conjecture-Euler's conjecture is a disproved conjecture in mathematics related to Fermat's Last Theorem. It was proposed by Leonhard Euler in 1769. It states that for all integers n and k greater than 1, if the sum of n many kth powers of positive integers is itse... | large_corpus_distillation |
[mouse]], [N [cat]], [V [eats]], [D [a]] (counted twice as it appears twice)." | large_corpus_distillation |
"Quantum electrodynamics-Feynman's view of quantum electrodynamics-The rules as regards adding or multiplying, however, are the same as above. But where you would expect to add or multiply probabilities, instead you add or multiply probability amplitudes that now are complex numbers." | large_corpus_distillation |
"Dice notation-Standard notation-Rolling three or more dice gives a probability distribution that is approximately Gaussian, in accordance with the central limit theorem." | large_corpus_distillation |
"Anonymous function-Examples-The specific internal implementation can vary, but the expectation is that a lambda function that captures everything by reference will store the actual stack pointer of the function it is created in, rather than individual references to stack variables. However, because most lambda functio... | large_corpus_distillation |
whom catch up with their peer group after a late start." | large_corpus_distillation |
"KernelCare-Overview-A special KernelCare kernel module applies the patches. It loads the patches into the kernel address space, sets up the relocations (i.e., fixes the references to the original kernel code and data), and safely switches the execution path from the original code to updated code blocks. The code ensur... | large_corpus_distillation |
as well as the psychometric equivalence of the created tests. Empirical results of psychometric quality are favorable overall, and the tests and items are consistent as measured by multiple psychometric indices." | large_corpus_distillation |
machine learning where even its designers cannot explain why an AI arrived at a specific decision. By refining the mental models of users of AI-powered systems and dismantling their misconceptions, XAI promises to help users perform more effectively. XAI may be an implementation of the social right to explanation." | large_corpus_distillation |
RC4, a stream cipher was cracked due to inherent biases and vulnerabilities in the cipher." | large_corpus_distillation |
rate of errors is calculated, and it is expected that a higher rate of error should occur in synesthetic subjects in comparison to non-synesthetic subjects." | large_corpus_distillation |
"66 (number)-66 (number)-66 (sixty-six) is the natural number following 65 and preceding 67.\nUsages of this number include: " | large_corpus_distillation |
"Dynamic positioning-Norwegian Maritime Authority Guidelines-Class 3 Operations where loss of position keeping capability may cause fatal accidents, or severe pollution or damage with major economic consequences.Based on this the type of ship is specified for each operation: Class 1 DP units with equipment class 1 shou... | large_corpus_distillation |
"p\ntypes of the objects in the sample form a sequence of Bernoulli trials, in which the parameter is the proportion of type 1 objects in\nthe population. If the sampling is without replacement, then the successive draws are dependent, so the types of the objects in the\nsample do not form a sequence of Bernoulli trial... | large_corpus_distillation |
"Tetradic Palatini action-Details of calculation-Implying C\u03b1IJ=C\u03b1[IJ].\nFrom the last term of the action we have from varying with respect to C\u03b1IJ, \u03b4SEH=\u03b4\u222bd4xeeM\u03b3eN\u03b2C[\u03b3MKC\u03b2]KN=\u03b4\u222bd4xeeM[\u03b3eN\u03b2]C\u03b3MKC\u03b2KN=\u03b4\u222bd4xeeM[\u03b3eN\u03b2]C\u03... | large_corpus_distillation |
"Tur\u00e1n's theorem-Proofs-Aigner & Ziegler (2018) list five different proofs of Tur\u00e1n's theorem.\nMany of the proofs involve reducing to the case where the graph is a complete multipartite graph, and showing that the number of edges is maximized when there are r parts of size as close as possible to equal.\nIn... | large_corpus_distillation |
"Lehmann\u2013Scheff\u00e9 theorem-Example for when using a non-complete minimal sufficient statistic-However, the following unbiased estimator can be shown to have lower variance: \u03b8^LV=1k2n\u22121n+1+1\u22c5(1\u2212k)X(1)+(1+k)X(n)2.\nAnd in fact, it could be even further improved when using the following estima... | large_corpus_distillation |
"Tree (graph theory)-Definitions-Ordered tree An ordered tree (alternatively, plane tree or positional tree) is a rooted tree in which an ordering is specified for the children of each vertex. This is called a \"plane tree\" because an ordering of the children is equivalent to an embedding of the tree in the plane, wit... | large_corpus_distillation |
f\u2208D and t\u2208[0,\u221e), then P t f\u2208D and the following derivative rules hold with respect to the supremum norm.\n1. P t \u2032f=P t Gf, the Kolmogorov forward equation\n2. P t \u2032f=GP t f, the Kolmogorov backward equation\nProof\nLet f\u2208D. All limits and statements about derivatives and continuity a... | large_corpus_distillation |
"Personal cloud-Home-made clouds-The challenge for the home-made cloud is that in order to set it up a user has to have a certain degree of skills in technology and network setup. This solution is not for novices and average consumers. If this setup is not done by a tech expert the biggest issue will be security and le... | large_corpus_distillation |
"Automorphisms of the symmetric and alternating groups-No other outer automorphisms-No other outer automorphisms of S6 S6 has exactly one (class) of outer automorphisms: Out(S6) = C2." | large_corpus_distillation |
"12 (number)-Mathematical properties-B as the largest maximal subgroup inside F1 . The smallest second generation sporadic group, Janko group J2 , holds standard generators (2A, 3B, 7) that yield 12 .Twelve is the smallest weight for which a cusp form exists. This cusp form is the discriminant \u0394(q) whose Fouri... | large_corpus_distillation |
"Whole language-Underlying premises-semantic: what word one would expect to occur based on the meaning of the sentence so far (see semantics).\nsyntactic: what part of speech or word would make sense based on the grammar of the language (see syntax)." | large_corpus_distillation |
"GEORGE (programming language)-Historical note-In the first version running by May 1957 on an English Electric DEUCE, all values were stored in binary fixed-point form in a 32-bit word, with 16 binary places.\nIn the second version introduced by 1958, values were held in floating-point form, with one value per word: 22... | large_corpus_distillation |
"Semantics-History-In 1922, the concept of semantics is attested in mathematical logic amidst a group of scholars in Poland including Leon Chwistek, Le\u015bniewski, \u0141ukasiewicz, Kotarbinski, Adjukiewicz, and Tarski. According to Allen Walker Read, they had been influenced by French culture; moreover, later, their... | large_corpus_distillation |
"Hardware acceleration-Overview-This reclamation saves time, power and circuit area in computation. The reclaimed resources can be used for increased parallel computation, other functions, communication or memory, as well as increased input/output capabilities. This comes at the cost of general-purpose utility.\nEmergi... | large_corpus_distillation |
"Decimal floating point-IEEE 754-2008 encoding-In the above cases, the value represented is: (\u22121)sign \u00d7 10exponent\u2212101 \u00d7 significandDecimal64 and Decimal128 operate analogously, but with larger exponent continuation and significand fields. For Decimal128, the second encoding form is actually never u... | large_corpus_distillation |
"Lasso (statistics)-Generalizations-The efficient algorithm for minimization is based on piece-wise quadratic approximation of subquadratic growth (PQSQ).\nAdaptive lasso The adaptive lasso was introduced by Zou in 2006 for linear regression and by Zhang and Lu in 2007 for proportional hazards regression." | large_corpus_distillation |
set). Storage was three IBM 7000 series 1301 disk drives, each having two modules of 21.6 million characters apiece." | large_corpus_distillation |
row to appear more than once in the same body.) SQL and the relational model SQL, initially pushed as the standard language for relational databases, deviates from the relational model in several places. The current ISO SQL standard doesn't mention the relational model or use relational terms or concepts. However, it i... | large_corpus_distillation |
"Symbolic artificial intelligence-Techniques and contributions-Natural language processing Natural language processing focuses on treating language as data to perform tasks such as identifying topics without necessarily understanding the intended meaning. Natural language understanding, in contrast, constructs a meanin... | large_corpus_distillation |
"Isomorphism-Examples-Logarithm and exponential Let R+ be the multiplicative group of positive real numbers, and let R be the additive group of real numbers.\nThe logarithm function log :R+\u2192R satisfies log log log \u2061y for all x,y\u2208R+, so it is a group homomorphism. The exponential function exp :R\u21... | large_corpus_distillation |
"Alignment-free sequence analysis-Alignment-free methods-Spaced-word frequencies While most alignment-free algorithms compare the word-composition of sequences, Spaced Words uses a pattern of care and don't care positions. The occurrence of a spaced word in a sequence is then defined by the characters at the match posi... | large_corpus_distillation |
"Downward entailing-Downward entailing-Ladusaw (1980) proposed that downward entailment is the property that licenses polarity items. Indeed, \"Nobody saw anything\" is downward entailing and admits the negative polarity item anything, while *\"I saw anything\" is unacceptable (the upward-entailing context does not lic... | large_corpus_distillation |
"Multiplication-Multiplication in group theory-To see this, consider the set of invertible square matrices of a given dimension over a given field. Here, it is straightforward to verify closure, associativity, and inclusion of identity (the identity matrix) and inverses. However, matrix multiplication is not commutativ... | large_corpus_distillation |
"Reliable multicast-Reliable multicast-A reliable multicast is any computer networking protocol that provides a reliable sequence of packets to multiple recipients simultaneously, making it suitable for applications such as multi-receiver file transfer." | large_corpus_distillation |
"12.1: Introduction to Finite Sampling Models\nBasic Theory\nSampling Models\nD m\nSuppose that we have a population of objects. The population could be a deck of cards, a set of people, an urn full of balls, or\nm D={1,2,\u2026,m}\nany number of other collections. In many cases, we simply label the objects from 1 to ,... | large_corpus_distillation |
"Symbols and Pictographs Extended-A-Symbols and Pictographs Extended-A-Symbols and Pictographs Extended-A is a Unicode block containing emoji characters. It extends the set of symbols included in the Supplemental Symbols and Pictographs block.\nAll of the characters in the Symbols and Pictographs Extended-A block are e... | large_corpus_distillation |
"Fair random assignment-Fair random assignment-In general, a fair assignment may be impossible to attain. For example, if Alice and Batya both prefer the eastern room to the western room, only one of them will get it and the other will be envious. In the random assignment setting, fairness is attained using a lottery. ... | large_corpus_distillation |
"Style sheet (web development)-Benefits-Portability The deferment of presentational details until the time of presentation means that a document can be easily re-purposed for an entirely different presentation medium with merely the application of a new style sheet already prepared for the new medium and consistent wit... | large_corpus_distillation |
"MIPS architecture-Versions-MIPS V MIPS V added a new data type, the Paired Single (PS), which consisted of two single-precision (32-bit) floating-point numbers stored in the existing 64-bit floating-point registers. Variants of existing floating-point instructions for arithmetic, compare and conditional move were adde... | large_corpus_distillation |
"Integer-valued polynomial-Fixed prime divisors-Integer-valued polynomials may be used effectively to solve questions about fixed divisors of polynomials. For example, the polynomials P with integer coefficients that always take on even number values are just those such that P/2 is integer valued. Those in turn are th... | large_corpus_distillation |
"86 (number)-In mathematics-86 is: nontotient and a noncototient.\nthe 25th distinct semiprime and the 13th of the form (2.q).\ntogether with 85 and 87, forms the middle semiprime in the 2nd cluster of three consecutive semiprimes; the first comprising 33, 34, 35.\nan Erd\u0151s\u2013Woods number, since it is possible ... | large_corpus_distillation |
"Clausius\u2013Duhem inequality-Clausius\u2013Duhem inequality in terms of the specific entropy-The Clausius\u2013Duhem inequality can be expressed in integral form as ddt(\u222b\u03a9\u03c1\u03b7dV)\u2265\u222b\u2202\u03a9\u03c1\u03b7(un\u2212v\u22c5n)dA\u2212\u222b\u2202\u03a9q\u22c5nTdA+\u222b\u03a9\u03c1sTdV." | large_corpus_distillation |
"For loop-For loop-Various keywords are used to indicate the usage of a for loop: descendants of ALGOL use \"for\", while descendants of Fortran use \"do\". There are other possibilities, for example COBOL which uses PERFORM VARYING." | large_corpus_distillation |
"Hyperpersonal model-Conditions and key components-Key components Senders This component refers to \"selective self-presentation\". In CMC, message senders have a greater opportunity to optimize their self-presentation. Walther argues, \"[CMC participants] were better able to plan, and had increased opportunity to self... | large_corpus_distillation |
"Unified Code Count-Utility-Difference in languages: consider two applications that provide the same functionality (screens, reports, databases). One of the applications is written in C++ and the other application written in a language like COBOL. The number of function points would be exactly the same, but aspects of ... | large_corpus_distillation |
"Euclid number-Generalization-A Euclid number of the second kind (also called Kummer number) is an integer of the form En = pn\u2009# \u2212\u20091, where pn\u2009# is the nth primorial. The first few such numbers are: 1, 5, 29, 209, 2309, 30029, 510509, 9699689, 223092869, 6469693229, 200560490129, ... (sequence A0575... | large_corpus_distillation |
"Centrality-Important limitations-Complex networks have heterogeneous topology. To the extent that the optimal measure depends on the network structure of the most important vertices, a measure which is optimal for such vertices is sub-optimal for the remainder of the network." | large_corpus_distillation |
"Augmented map-Interface-aug_project (g\u2032,f\u2032,m,k1,k2) : returns g\u2032(aug_range(m,k1,k2)) . Here g\u2032:A\u21a6B , f\u2032:B\u00d7B\u21a6B . It requires (B,f\u2032,g\u2032(I)) to be a monoid and f\u2032(g\u2032(a),g\u2032(b))=g\u2032(f(a,b)) . This function is useful when the augmented valuesare themse... | large_corpus_distillation |
"Mixture model-Examples-House prices Assume that we observe the prices of N different houses. Different types of houses in different neighborhoods will have vastly different prices, but the price of a particular type of house in a particular neighborhood (e.g., three-bedroom house in moderately upscale neighborhood) wi... | large_corpus_distillation |
"Polish notation-Evaluation algorithm-The above sketched stack manipulation works\u2014with mirrored input\u2014also for expressions in reverse Polish notation." | large_corpus_distillation |
"Letter frequency-Background-Accurate average letter frequencies can only be gleaned by analyzing a large amount of representative text. With the availability of modern computing and collections of large text corpora, such calculations are easily made. Examples can be drawn from a variety of sources (press reporting, r... | large_corpus_distillation |
"Linguistic performance-Errors in linguistic performance-Ambiguity or Garden Path Sentences: The horse raced past the barn fellWhen a speaker makes an utterance they must translate their ideas into words, then syntactically proper phrases with proper pronunciation. The speaker must have prior world knowledge and an und... | large_corpus_distillation |
"Esri TIN-Optional files-tndcs.abf - Statistic of tag usage Contains an array of 24 byte big data set, one for each used tag. The data set contains the tag and the number of points with that tag. Each data set is structured as follows: tnval.abf - Point tag file Contains are array of 4 byte integer value, one for each ... | large_corpus_distillation |
"Punctuation-Other languages-In Georgian, three dots, \u27e8\u10fb\u27e9, were formerly used as a sentence or paragraph divider. It is still sometimes used in calligraphy." | large_corpus_distillation |
"XML retrieval-Queries-Most XML retrieval approaches do so based on techniques from the information retrieval (IR) area, e.g. by computing the similarity between a query consisting of keywords (query terms) and the document. However, in XML-Retrieval the query can also contain structural hints. So-called \"content and ... | large_corpus_distillation |
"GUIDO music notation-Sources-Holger H. Hoos, Keith A. Hamel, Kai Renz, and J\u00fcrgen Kilian: Representing Score-Level Music Using the GUIDO Music-Notation Format. Computing in Musicology, Vol 12, MIT Press, 2001.\nHolger H. Hoos, Keith A. Hamel, Kai Renz, J\u00fcrgen Kilian: The GUIDO Music Notation Format - A Novel... | large_corpus_distillation |
BMI, the data for all of the study variables were \u201cself-reported\u201d by the parents. The study used a cross-sectional design,\nwhich cannot be relied upon to provide conclusive evidence of causal relationships.\nDescriptions of Variables\n20.19.1\nTable : Description of Variables\nVARIABLE DESCRIPTION\nPresence ... | large_corpus_distillation |
"Motion sickness-Cause-Dizziness due to spinning When one spins and stops suddenly, fluid in the inner ear continues to rotate causing a sense of continued spinning while one's visual system no longer detects motion." | large_corpus_distillation |
"NoScript-Features-On November 14, 2017, Giorgio Maone announced NoScript 10, which will be \"very different\" from 5.x versions, and will use WebExtension technology, making it compatible with Firefox Quantum. On November 20, 2017, Maone released version 10.1.1 for Firefox 57 and above. NoScript is available for Firef... | large_corpus_distillation |
"Hazard (computer architecture)-Eliminating hazards-Other techniques Memory latency is another factor that designers must attend to, because the delay could reduce performance. Different types of memory have different accessing time to the memory. Thus, by choosing a suitable type of memory, designers can improve the p... | large_corpus_distillation |
declined back to 500 points. In 2001, the index slightly decreased and with the help of the influence of the September 11, 2001 attacks reached bottom on 17 September with 320 points. In 2002, the index slowly increased back to 500 points. In 2003 the index was rising, and ended the year with 659 points. With the help ... | large_corpus_distillation |
"Backpropagation-Derivation-Finding the derivative of the error Calculating the partial derivative of the error with respect to a weight wij is done using the chain rule twice: In the last factor of the right-hand side of the above, only one term in the sum net j depends on wij , so that If the neuron is in the firs... | large_corpus_distillation |
"RRQR factorization-RRQR factorization-An RRQR factorization or rank-revealing QR factorization is a matrix decomposition algorithm based on the QR factorization which can be used to determine the rank of a matrix. The singular value decomposition can be used to generate an RRQR, but it is not an efficient method to do... | large_corpus_distillation |
include some form of ring protection, although the Windows NT operating system, like Unix, does not fully utilize this feature. OS/2 does to some extent, using three rings: ring 0 for kernel code and device drivers, ring 2 for privileged code (user programs with I/O access permissions), and ring 3 for unprivileged code... | large_corpus_distillation |
"Flood control-Purposes-Reducing the impacts of floods Flooding has many impacts. It damages property and endangers the lives of humans and other species. Rapid water runoff causes soil erosion and concomitant sediment deposition elsewhere (such as further downstream or down a coast). The spawning grounds for fish and ... | large_corpus_distillation |
"Rules of chess-Competition rules-Piece displacement If a player knocks over pieces, it is the same player's responsibility to restore them to their correct positions, on that player's time. If it is discovered that an illegal move has been made, or that pieces have been displaced, the game is restored to the position ... | large_corpus_distillation |
"MapReduce-Overview-A MapReduce framework (or system) is usually composed of three operations (or steps): Map: each worker node applies the map function to the local data, and writes the output to a temporary storage. A master node ensures that only one copy of the redundant input data is processed.\nShuffle: worker no... | large_corpus_distillation |
"Composite number-Composite number-A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself. Every positive integer is composite, prime, or the unit 1, so the composite numbers a... | large_corpus_distillation |
"Banker's algorithm-Resources-P1 is unable to acquire enough B resources P2 is unable to acquire enough B resources P3 is unable to acquire enough B resources No process can acquire enough resources to terminate, so this state is not safe Since the state is unsafe, deny the request " | large_corpus_distillation |
"Google matrix-Spectrum and eigenstates of G matrix-For 0<\u03b1<1 there is only one maximal eigenvalue \u03bb=1 with the corresponding right eigenvector which has non-negative elements Pi which can be viewed as stationary probability distribution. These probabilities ordered by their decreasing values give the Page... | large_corpus_distillation |
"Intel Core (microarchitecture)-Steppings-The Core microarchitecture uses several stepping levels (steppings), which unlike prior microarchitectures, represent incremental improvements, and different sets of features like cache size and low power modes. Most of these steppings are used across brands, typically by disab... | large_corpus_distillation |
"Subset sum problem-Polynomial time approximation algorithms-Kellerer, Mansini, Pferschy and Speranza and Kellerer, Pferschy and Pisinger present other FPTAS-s for subset sum." | large_corpus_distillation |
"Delta neutral-Theory-where C\u2032(s)=\u0394 (delta) and C\u2033(s)=\u0393 (gamma); see Greeks (finance).For any small change in the underlier, we can ignore the second-order term and use the quantity \u0394 to determine how much of the underlier to buy or sell to create a hedged portfolio. However, when the change... | large_corpus_distillation |
"Condorcet paradox-Implications-When a Condorcet method is used to determine an election, the voting paradox of cyclical societal preferences implies that the election has no Condorcet winner: no candidate who can win a one-on-one election against each other candidate. There will still be a smallest group of candidates... | large_corpus_distillation |
"LL grammar-Formal definition-Simple deterministic languages A context-free grammar is called simple deterministic, or just simple, if it is in Greibach normal form (i.e. each rule has the form Z\u2192aY1\u2026Yn,n\u22650 ), and different right hand sides for the same nonterminal Z always start with different termina... | large_corpus_distillation |
accept as complying with their definitions of free software and open-source software respectively. The Open Source Initiative considers almost all free software licenses to also be open source and way around. These include the latest versions of the FSF's three main licenses, the GPLv3, the Lesser General Public Licens... | large_corpus_distillation |
"Luhn mod N algorithm-Limitation-Outcome The algorithm will neither detect all single-digit errors nor all transpositions of adjacent digits if an N is used that is not divisable by 2. As these detection capabilities are the algorithm's primary strengths, the algorithm is weakened almost entirely by this limitation. Th... | large_corpus_distillation |
"Mercer's theorem-Generalizations-A recent generalization replaces these conditions by the following: the set X is a first-countable topological space endowed with a Borel (complete) measure \u03bc. X is the support of \u03bc and, for all x in X, there is an open set U containing x and having finite measure. Then essen... | large_corpus_distillation |
"MLDesigner-Domains-The Multi-Domain-Simulator MLDesigner supports among others the following domains: SDF-Domain (Synchronous Data Flow) The SDF domain is a data driven, statically scheduled domain in MLDesigner. It is used to model time discrete systems, as for example digital signal processing, general or special pu... | large_corpus_distillation |
"Orthogonal polynomials-Properties-Orthogonal polynomials of one variable defined by a non-negative measure on the real line have the following properties.\nRelation to moments The orthogonal polynomials Pn can be expressed in terms of the moments mn=\u222bxnd\u03b1(x) as follows: det [m0m1m2\u22efmnm1m2m3\u22efmn+1\u2... | large_corpus_distillation |
"CdmaOne-Protocol details-Layer 2 Once a call is established, a mobile is restricted to using the traffic channel. A frame format is defined in the MAC for the traffic channel that allows the regular voice (vocoder) or data (RLP) bits to be multiplexed with signaling message fragments. The signaling message fragments a... | large_corpus_distillation |
"Optimal apportionment-Minimizing the largest unfairneses-Burt and Harris (1963) suggested to minimize max i,j=1n|qi/ai\u2212qj/aj| Minimizing max i=1nqi/ai leads to Adams's method.\nMinimizing max i=1nai/qi leads to Jefferson's method.\nIt is also possible to maximize min i=1n(ai\u2212qi) , or equivalently, minimi... | large_corpus_distillation |
"Dangling pointer-Dangling pointer detection-To expose dangling pointer errors, one common programming technique is to set pointers to the null pointer or to an invalid address once the storage they point to has been released. When the null pointer is dereferenced (in most languages) the program will immediately termin... | large_corpus_distillation |
"CSS hack-Alternatives-Feature deletion JavaScript feature detection Multiple JavaScript libraries exist to detect what features are available in a particular browser so that CSS rules can be written to target them. Libraries such as Modernizr add classes to the html element, allowing for CSS rules such as .cssgradient... | large_corpus_distillation |
"Semantic wiki-Semantic wiki-A semantic wiki is a wiki that has an underlying model of the knowledge described in its pages. Regular, or syntactic, wikis have structured text and untyped hyperlinks. Semantic wikis, on the other hand, provide the ability to capture or identify information about the data within pages, an... | large_corpus_distillation |
"7.2 \u2022 Systems of Linear Equations: Three Variables 825\nis always true, such as Graphically, an infinite number of solutions represents a line or coincident plane\nthat serves as the intersection of three planes in space.\n\u2022 Systems that have no solution are those that, after elimination, result in a stateme... | large_corpus_distillation |
"Memory corruption-Memory corruption-Using non-owned memory: It is common to use pointers to access and modify memory. If such a pointer is a null pointer, dangling pointer (pointing to memory that has already been freed), or to a memory location outside of current stack or heap bounds, it is referring to memory that i... | large_corpus_distillation |
therefore recommends that the DoD take three policy-level actions to help promote optimum DoD use of FOSS:Create a \"Generally Recognized As Safe\" FOSS list. This list would provide quick official recognition of FOSS applications that are (a) commercially supported, (b) widely used, and (c) have proven track records o... | large_corpus_distillation |
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