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"ISO/IEC 9797-1-Model-Splitting The padded data D is split into q blocks D1, D2, ... Dq, each of length n, suitable for the block cipher." | large_corpus_distillation |
"Dihedral group of order 6-Summary of group operations-With the generators a and b, we define the additional shorthands c := aba, d := ab and f := ba, so that a, b, c, d, e, and f are all the elements of this group. We can then summarize the group operations in the form of a Cayley table: Note that non-equal non-identi... | large_corpus_distillation |
"Satellite navigation device-Sequential receivers-A sequential GPS receiver tracks the necessary satellites by typically using one or two hardware channels. The set will track one satellite at a time, time tag the measurements and combine them when all four satellite pseudoranges have been measured. These receivers are... | large_corpus_distillation |
"History of photography-Development of digital photography-1975 \u2013 Bryce Bayer of Kodak develops the Bayer filter mosaic pattern for CCD color image sensors 1986 \u2013 Kodak scientists develop the world's first megapixel sensor.The web has been a popular medium for storing and sharing photos ever since the first p... | large_corpus_distillation |
"Attributive verb-English-Interested parties should apply to the office.Sometimes deverbal adjectives additionally take prefixes, as in hand-fed turkeys, uneaten food and meat-eating animals. Some compound adjectives are formed using the plain infinitive form of the verb, as in a no-go area or no-fly zone, and take-awa... | large_corpus_distillation |
"Arf invariant-Arf invariant-In the special case of the 2-element field F2 the Arf invariant can be described as the element of F2 that occurs most often among the values of the form. Two nonsingular quadratic forms over F2 are isomorphic if and only if they have the same dimension and the same Arf invariant. This fact... | large_corpus_distillation |
"Szemer\u00e9di's theorem-Quantitative bounds-It is an open problem to determine the exact growth rate of rk(N). The best known general bounds are exp log log log log log \u2061N)2\u22122k+9, where log \u2061k\u2309 . The lower bound is due to O'Bryant building on the work of Behrend, Rankin, and Elkin. The upper boun... | large_corpus_distillation |
"Code review-Efficiency and effectiveness of reviews-Supporting tools Static code analysis software lessens the task of reviewing large chunks of code on the developer by systematically checking source code for known vulnerabilities and defect types. A 2012 study by VDC Research reports that 17.6% of the embedded softw... | large_corpus_distillation |
"Minimum bounding box algorithms-Three dimensions-In 1985, Joseph O'Rourke published a cubic-time algorithm to find the minimum-volume enclosing box of a 3-dimensional point set. O'Rourke's approach uses a 3-dimensional rotating calipers technique, and is based on lemmas characterizing the minimum enclosing box: There ... | large_corpus_distillation |
"Question-Question formation-Questions may be marked by some combination of word order, morphology, interrogative words, and intonation. Where languages have one or more clause type characteristically used to form questions, they are called interrogative clauses. Open and closed questions are generally distinguished gr... | large_corpus_distillation |
"Dependency hell-Problems-Circular dependencies If application A depends upon and can't run without a specific version of application B, but application B, in turn, depends upon and can't run without a specific version of application A, then upgrading any application will break another. This scheme can be deeper in bra... | large_corpus_distillation |
"Expected shortfall-Formal definition-If X\u2208Lp(F) (an Lp) is the payoff of a portfolio at some future time and 0<\u03b1<1 then we define the expected shortfall as ES VaR \u03b3\u2061(X)d\u03b3 where VaR \u03b3 is the value at risk. This can be equivalently written as ES \u03b1\u2061(X)=\u22121\u03b1(E\u2061[X1{X... | large_corpus_distillation |
"R-matrix-R-matrix-The term R-matrix has several meanings, depending on the field of study." | large_corpus_distillation |
12 ,\u03b7a\u03bc\u03bd\u03b7b\u03bc\u03bd=4\u03b4ab,\u03b7a\u03bc\u03c1\u03b7a\u03bc\u03c3=3\u03b4\u03c1\u03c3.\nThe same holds for \u03b7\u00af except for \u03b7\u00afa\u03bc\u03bd\u03b7\u00afa\u03c1\u03c3=\u03b4\u03bc\u03c1\u03b4\u03bd\u03c3\u2212\u03b4\u03bc\u03c3\u03b4\u03bd\u03c1\u2212\u03f5\u03bc\u03bd\u03c1\u0... | large_corpus_distillation |
"Regression dilution-Regression dilution-Consider fitting a straight line for the relationship of an outcome variable y to a predictor variable x, and estimating the slope of the line. Statistical variability, measurement error or random noise in the y variable causes uncertainty in the estimated slope, but not bias: o... | large_corpus_distillation |
"Samsung Galaxy Note II-Specifications-Table of variants Notes The bolded frequencies in connectivities, are to support the released carriers' networks.\nAll frequencies listed are in MHz.\n\"GSM: quad-band\" denotes \"GSM/GPRS/EDGE: 850, 900, 1800, and 1900 Mhz bands\".\n\"UMTS: quad-band\" denotes \"UMTS/HSDPA/HSUPA/... | large_corpus_distillation |
"NP-hardness-NP-naming convention-NP-hard problems do not have to be elements of the complexity class NP.\nAs NP plays a central role in computational complexity, it is used as the basis of several classes: NP Class of computational decision problems for which any given yes-solution can be verified as a solution in pol... | large_corpus_distillation |
"Transitive closure-Properties-The intersection of two transitive relations is transitive.\nThe union of two transitive relations need not be transitive. To preserve transitivity, one must take the transitive closure. This occurs, for example, when taking the union of two equivalence relations or two preorders. To obta... | large_corpus_distillation |
"Mixture model-Structure-Although EM-based parameter updates are well-established, providing the initial estimates for these parameters is currently an area of active research. Note that this formulation yields a closed-form solution to the complete posterior distribution. Estimations of the random variable \u03b8 may... | large_corpus_distillation |
"Stein's example-Sketched proof-Now consider the decision rule d\u2032(x)=x\u2212\u03b1|x|2x, where \u03b1=n\u22122 . We will show that d\u2032 is a better decision rule than d . The risk function is R(\u03b8,d\u2032)=E\u03b8\u2061[|\u03b8\u2212X+\u03b1|X|2X|2] =E\u03b8\u2061[|\u03b8\u2212X|2+2(\u03b8\u2212X)T\u03b1... | large_corpus_distillation |
"Simple Knowledge Organization System-Relationships with other standards-Other semantic web standards SKOS is intended to provide a way to make a legacy of concept schemes available to Semantic Web applications, simpler than the more complex ontology language, OWL. OWL is intended to express complex conceptual structur... | large_corpus_distillation |
"MIPS architecture-Versions-MIPS III removed the Coprocessor 3 (CP3) support instructions, and reused its opcodes for the new doubleword instructions. The remaining coprocessors gained instructions to move doublewords between coprocessor registers and the GPRs. The floating general registers (FGRs) were extended to 64 ... | large_corpus_distillation |
of Bletchley Park: \"I'm worried about Naval Enigma. I've been worried for a long time, but haven't liked to say as much... Turing and Twinn are like people waiting for a miracle, without believing in miracles...\" Schemes for capturing Enigma material were conceived including, in September 1940, Operation Ruthless by ... | large_corpus_distillation |
"Consistency model-Consistency and replication-Local-write protocols In primary-based local-write protocols, primary copy moves between processes willing to perform an update. To update a data item, a process first moves it to its location. As a result, in this approach, successive write operations can be performed loc... | large_corpus_distillation |
"Guided filter-Definition-meanI = fmean(I) meanp = fmean(p) corrI = fmean(I.\u2217I) corrIp = fmean(I.\u2217p) 2.\nvarI = corrI\u2212meanI.\u2217meanI covIp = corrIp\u2212meanI.\u2217meanp 3.\na = covIp./(varI+\u03f5) b = meanp\u2212a.\u2217meanI 4.\nmeana = fmean(a) meanb = fmean(b) 5.\nq = meana.\u2217I+me... | large_corpus_distillation |
picture part, while the first grammar can, both grammars are not strongly equivalent." | large_corpus_distillation |
(for index number) of the file. When the file is accessed, its i-number is used as an index into a system table (the i-list) stored in a known part of the device on which the directory resides. The entry found thereby (the file's i-node) contains the description of the file." | large_corpus_distillation |
"\u221e\nP(X \u2208A\u2223X =x)=\u2211(1\u2212\u03b1)\u03b1nPn(x,A)=(1\u2212\u03b1)R (x,A) (16.2.11)\nN 0 \u03b1\nn=0\nSo (1\u2212\u03b1)R \u03b1 is a transition probability kernel, just as P n is a transition probability kernel, but corresponding to the random time N (with \u03b1\u2208(0,1) as a\nparameter), rather th... | large_corpus_distillation |
"Double coset-Products in the free abelian group on the set of double cosets-If H is normal, so that the H-double cosets are the same as the elements of the quotient group G / H, then the product on Z[H \\ G / H] is the product in the group algebra Z[G / H]. In particular, it is the usual convolution of functions on G ... | large_corpus_distillation |
"Social network analysis-Practical applications-Density refers to the \"connections\" between participants. Density is defined as the number of connections a participant has, divided by the total possible connections a participant could have. For example, if there are 20 people participating, each person could potentia... | large_corpus_distillation |
"Spoken word album-Spoken word album-A spoken word album is a recording of spoken material, a predecessor of the contemporary audiobook genre. Rather than featuring music or songs, the content of spoken word albums include political speeches, dramatic readings of historical documents, dialogue from a film soundtrack, d... | large_corpus_distillation |
"MinHash-Jaccard similarity and minimum hash values-Let h be a hash function that maps the members of U to distinct integers, let perm be a random permutation of the elements of the set U, and for any subset S of U define hmin(S) to be the minimal member of S with respect to h \u2218 perm\u2014that is, the member x of ... | large_corpus_distillation |
in ambiguous or challenging measurement scenarios.\nWithout scoring guidelines, ratings are increasingly affected by experimenter's bias, that is, a tendency of rating values to drift towards what is expected by the rater. During processes involving repeated measurements, correction of rater drift can be addressed thro... | large_corpus_distillation |
"Object detection-Concept-Every object class has its own special features that help in classifying the class \u2013 for example all circles are round." | large_corpus_distillation |
"Bareiss algorithm-History-The general Bareiss algorithm is distinct from the Bareiss algorithm for Toeplitz matrices.\nIn some Spanish-speaking countries, this algorithm is also known as Bareiss-Montante, because of Ren\u00e9 Mario Montante Pardo, a professor of the Universidad Aut\u00f3noma de Nuevo Le\u00f3n, Mexico... | large_corpus_distillation |
"Types of artificial neural networks-Radial basis function (RBF)-RBF networks have the advantage of avoiding local minima in the same way as multi-layer perceptrons. This is because the only parameters that are adjusted in the learning process are the linear mapping from hidden layer to output layer. Linearity ensures ... | large_corpus_distillation |
"Cyclic number-Properties of cyclic numbers-When multiplied by their generating prime, the result is a sequence of b \u2212 1 digits, where b is the base (e.g. 9 in decimal). For example, in decimal, 142857 \u00d7 7 = 999999.\nWhen split into groups of equal length (of two, three, four, etc... digits), and the groups a... | large_corpus_distillation |
approach to achieving those goals.\nRestful Objects A standard for creating a RESTful interface from a domain object model. Though the Restful Objects specification does not state that the interface must be generated reflective from the domain model, that possibility exists." | large_corpus_distillation |
"Rabin\u2013Karp algorithm-The algorithm-Good performance requires a good hashing function for the encountered data. If the hashing is poor (such as producing the same hash value for every input), then line 6 would be executed O(n) times (i.e. on every iteration of the loop). Because character-by-character comparison o... | large_corpus_distillation |
"Overfitting-Statistical inference-With a large set of explanatory variables that actually have no relation to the dependent variable being predicted, some variables will in general be falsely found to be statistically significant and the researcher may thus retain them in the model, thereby overfitting the model. This... | large_corpus_distillation |
"Boolean data type-Language-specific implementations-C++ has a separate Boolean data type bool, but with automatic conversions from scalar and pointer values that are very similar to those of C. This approach was adopted also by many later languages, especially by some scripting languages such as AWK.\nObjective-C also... | large_corpus_distillation |
"Rewriting-Example cases-Arithmetic Term rewriting systems can be employed to compute arithmetic operations on natural numbers.\nTo this end, each such number has to be encoded as a term.\nThe simplest encoding is the one used in the Peano axioms, based on the constant 0 (zero) and the successor function S. For example... | large_corpus_distillation |
"Artin transfer (group theory)-Arithmetical applications-Comparison of various primes Now let p\u2208{3,5,7} and consider complex quadratic fields K(d)=Q(d) with fixed signature (0,1) and p-class groups of type (p,p) . The dominant part of the second p-class groups of these fields populates the top vertices of orde... | large_corpus_distillation |
"Productivity (linguistics)-Examples in other languages-One study, which focuses on the usage of the Dutch suffix -heid (comparable to -ness in English) hypothesizes that -heid gives rise to two kinds of abstract nouns: those referring to concepts and those referring to states of affairs. It shows that the referential ... | large_corpus_distillation |
"Wh-movement-Extraction islands-b. *What did Sam eat [beans] and [__]? \u2013 Extraction fails because it affects just one conjunct.a. Sam ate [beans] and [broccoli].\nb. *What did Sam eat [__] and [broccoli]? \u2013 Extraction fails because it affects just one conjunct.a. Sam [gave a guitar to me] and [loaned a trumpe... | large_corpus_distillation |
"LR parser-Table construction-The transition table for the automaton now looks as follows: Constructing the action and goto tables From this table and the found item sets, the action and goto table are constructed as follows: The columns for nonterminals are copied to the goto table.\nThe columns for the terminals are ... | large_corpus_distillation |
"Flashsort-Flashsort-Flashsort is a distribution sorting algorithm showing linear computational complexity O(n) for uniformly distributed data sets and relatively little additional memory requirement. The original work was published in 1998 by Karl-Dietrich Neubert." | large_corpus_distillation |
"Enterprise integration-Enterprise integration topics-Update the information in real time to reflect the actual state of the enterprise operation: requires not only the up-date of the operational data (information created during the operation), but adapting to environmental changes, which may originate from new custome... | large_corpus_distillation |
"Digital library-Features of digital libraries-Distributed searching typically involves a client sending multiple search requests in parallel to a number of servers in the federation. The results are gathered, duplicates are eliminated or clustered, and the remaining items are sorted and presented back to the client. P... | large_corpus_distillation |
"EDUindex-EDUindex-The EDUindex, as a value, is expressed as a number from 0 to 1.0 with 1.0 representing a perfect match of curricular offering to target need. The value is determined using the Pearson product-moment correlation coefficient (sometimes referred to as the PMCC, and typically denoted by r) as a measure o... | large_corpus_distillation |
"Secure transmission-Secure transmission-Many infrastructures such as banks rely on secure transmission protocols to prevent a catastrophic breach of security. Secure transmissions are put in place to prevent attacks such as ARP spoofing and general data loss. Software and hardware implementations which attempt to dete... | large_corpus_distillation |
"Required navigation performance-Application of performance monitoring and alerting to aircraft-The probability that the TSE of each aircraft exceeds the specified TSE limit (equal to two times the accuracy value) without annunciation is less than 10\u22125.Typically, the 10\u22125 TSE requirement provides a greater re... | large_corpus_distillation |
"Square number-Odd and even square numbers-Every odd perfect square is a centered octagonal number. The difference between any two odd perfect squares is a multiple of 8. The difference between 1 and any higher odd perfect square always is eight times a triangular number, while the difference between 9 and any higher o... | large_corpus_distillation |
key with two subscripts, KA,B, is a symmetric key shared by the two corresponding individuals. A key with one subscript, KA, is the public key of the corresponding individual. A private key is represented as the inverse of the public key.\nThe notation specifies only the operation and not its semantics \u2014 for insta... | large_corpus_distillation |
"Code injection-Preventing problems-To prevent code injection problems, utilize secure input and output handling, such as: Using APIs that, if used properly, are secure against all input characters. Parameterized queries (also known as \"Compiled queries\", \"prepared statements\", \"bound variables\") allows for movin... | large_corpus_distillation |
"The National Lottery Draws-Incidents-On 7 November 2015, the Lotto draw machine failed to release all the balls, causing the draw to be postponed. The draw later took place off air, and the results were posted on the website." | large_corpus_distillation |
"Segment descriptor-Segment descriptor-In memory addressing for Intel x86 computer architectures, segment descriptors are a part of the segmentation unit, used for translating a logical address to a linear address. Segment descriptors describe the memory segment referred to in the logical address.\nThe segment descript... | large_corpus_distillation |
"CryptoGraf-CryptoGraf-Medium trust for Crypto Contacts received via High trust contacts." | large_corpus_distillation |
"Requirements analysis-Requirements analysis issues-Stakeholder issues Steve McConnell, in his book Rapid Development, details a number of ways users can inhibit requirements gathering: Users do not understand what they want or users do not have a clear idea of their requirements Users will not commit to a set of writt... | large_corpus_distillation |
"Logistic regression-Example-The values of \u03b20 and \u03b21 which maximize \u2113 and L using the above data are found to be: 4.1 1.5 which yields a value for \u03bc and s of: 2.7 0.67 Predictions The \u03b20 and \u03b21 coefficients may be entered into the logistic regression equation to estimate the probabilit... | large_corpus_distillation |
over bitcoin transactions as legitimate keys' owners had, using the same exploit that was used to reveal the PS3 signing key on some Android app implementations, which use Java and rely on ECDSA to authenticate transactions.This issue can be prevented by an unpredictable generation of k , e.g., a deterministic procedu... | large_corpus_distillation |
"Errors and residuals-Introduction-One can standardize statistical errors (especially of a normal distribution) in a z-score (or \"standard score\"), and standardize residuals in a t-statistic, or more generally studentized residuals." | large_corpus_distillation |
"X86 memory segmentation-Real mode-In real mode or V86 mode, the size of a segment can range from 1 byte up to 65,536 bytes (using 16-bit offsets)." | large_corpus_distillation |
"Community structure-Algorithms for finding communities-A popular modularity maximization approach is the Louvain method, which iteratively optimizes local communities until global modularity can no longer be improved given perturbations to the current community state." | large_corpus_distillation |
"Wi-Fi Protected Access-WPA terminology-Different WPA versions and protection mechanisms can be distinguished based on the target end-user(such as wep, wpa, wpa2, wpa3) (according to the method of authentication key distribution), and the encryption protocol used." | large_corpus_distillation |
"Lambda calculus-Lambda calculus and programming languages-Parallelism and concurrency The Church\u2013Rosser property of the lambda calculus means that evaluation (\u03b2-reduction) can be carried out in any order, even in parallel. This means that various nondeterministic evaluation strategies are relevant. However, ... | large_corpus_distillation |
larger or smaller part when magnified or reduced to the same size." | large_corpus_distillation |
"Community search-Community search-Discovering communities in a network, known as community detection/discovery, is a fundamental problem in network science, which attracted much attention in the past several decades. In recent years, with the tremendous studies on big data, another related but different problem, calle... | large_corpus_distillation |
"Vapnik\u2013Chervonenkis theory-Overview of VC theory in empirical processes-Consider a collection C of subsets of the sample space X . C is said to pick out a certain subset W of the finite set S={x1,\u2026,xn}\u2282X if W=S\u2229C for some C\u2208C . C is said to shatter S if it picks out each of its 2n subs... | large_corpus_distillation |
"FreeRADIUS-Features-Modules included with the server core support LDAP, MySQL, PostgreSQL, Oracle, and many other databases. It supports all popular EAP authentication types, including PEAP and EAP-TTLS. More than 100 vendor dictionaries are included, ensuring compatibility with a wide range of NAS devices.\nVersion 2... | large_corpus_distillation |
the relationship between signs and their users, while semantics tends to focus on the actual objects or ideas to which a word refers, and syntax (or \"syntactics\") examines relationships among signs or symbols. Semantics is the literal meaning of an idea whereas pragmatics is the implied meaning of the given idea." | large_corpus_distillation |
as otherwise unexplained alternations between palatals and velars in e.g. segi [\u02c8seij\u026a] ('[I] say') vs. sag\u00f0i [\u02c8sa\u0263\u00f0\u026a] ('[I] said'; assuming that [j] and [\u0263] are taken as allophones of palatal and velar stops, respectively). On the other hand, the number of such alternations is n... | large_corpus_distillation |
"Neighbourhood (graph theory)-Neighbourhood of a set-A set A of vertices in a graph is said to be a module if every vertex in A has the same set of neighbours outside of A. Any graph has a uniquely recursive decomposition into modules, its modular decomposition, which can be constructed from the graph in linear time; m... | large_corpus_distillation |
nodes are critical in triggering cascades, and if the network is relatively dense, the distribution shows a bimodal form, in which nodes with average degree show more importance by serving as triggers." | large_corpus_distillation |
and the expected time for the search is log log \u2061(1\u2212p)) . Therefore, for a fixed value of p, the search operation is expected to take O(log n) time using O(log n) messages." | large_corpus_distillation |
"IDistance-Indexing-Building the iDistance index has two steps: A number of reference points in the data space are chosen. There are various ways of choosing reference points. Using cluster centers as reference points is the most efficient way. Succinctly, the data points are partitioned into Voronoi cells based on wel... | large_corpus_distillation |
"Support vector machine-Linear SVM-This can be rewritten as We can put this together to get the optimization problem: minimize subject to yi(w\u22a4xi\u2212b)\u22651\u2200i\u2208{1,\u2026,n} The w and b that solve this problem determine our classifier, sgn \u2061(wTx\u2212b) where sgn \u2061(\u22c5) is the sign fun... | large_corpus_distillation |
backward (1 point each).\nLanguage is assessed using a three-item confrontation naming task with low-familiarity animals (lion, camel, rhinoceros; 3 points), repetition of two syntactically complex sentences (2 points), and the aforementioned fluency task.\nAbstract reasoning is assessed using a describe-the-similarity... | large_corpus_distillation |
"Semantic data model-Applications-A semantic data model can be used to serve many purposes. Some key objectives include: Planning of data resources: A preliminary data model can be used to provide an overall view of the data required to run an enterprise. The model can then be analyzed to identify and scope projects to... | large_corpus_distillation |
Compare aggregate fruit.\nmuricate Covered with short, hard protuberances." | large_corpus_distillation |
"JOSS-History-JOSS-2 use By the end of 1966 the new JOSS-2 system was fully functional and turned over to JOSS use 24/7. The new machine offered about 30 times the computational speed, five times the storage space per user, and many new features in the language itself. The new platform could ultimately support up to 10... | large_corpus_distillation |
"Comparison of application virtualization software-Comparison of virtual machines-Ahead-of-time compilation (AOT) refers to the more classic method of using a precompiler to generate a set of native instructions which do not change during the runtime of the program. Because aggressive compiling and optimizing can take ... | large_corpus_distillation |
"Subtraction-Subtraction-Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because 0 is the additiv... | large_corpus_distillation |
on the magnitudes of each of the frequency components. The bicoherence includes a normalization factor that removes the magnitude dependence." | large_corpus_distillation |
"Quadratic pseudo-Boolean optimization-Algorithm-When constructing the graph, the set of vertices V contains the source and sink nodes s and t , and a pair of nodes p and p\u2032 for each variable. After re-parametrising the function to normal form, a pair of edges is added to the graph for each term w for each t... | large_corpus_distillation |
"Waring's problem-The number G(k)-68578904422 is the last known number that requires 9 fifth powers (Integer sequence S001057, Tony D. Noe, Jul 04 2017), 617597724 is the last number less than 1.3\u00d7109 that requires 10 fifth powers, and 51033617 is the last number less than 1.3\u00d7109 that requires 11.\nThe upper... | large_corpus_distillation |
"Ebook-Public domain books-Public domain books are those whose copyrights have expired, meaning they can be copied, edited, and sold freely without restrictions. Many of these books can be downloaded for free from websites like the Internet Archive, in formats that many e-readers support, such as PDF, TXT, and EPUB. Bo... | large_corpus_distillation |
"Japanese adjectives-Inflection-Adjectival verbs do actually have a full verb inflection paradigm created through contraction with the former copular verb \u3042\u308a (ari), consisting of six verb bases, that obeys the grammar surrounding verbs in Japanese. The usage of the full inflection is more limited in Modern Ja... | large_corpus_distillation |
nor a binary mebibyte (MiB). Hence, these disks hold 1.47 MB or 1.41 MiB. Usable data capacity is a function of the disk format used, which in turn is determined by the FDD controller and its settings. Differences between such formats can result in capacities ranging from approximately 1,300 to 1,760 KiB (1.80 MB) on a... | large_corpus_distillation |
"Preprocessor-Syntactic preprocessors-The MetaOCaml preprocessor/language provides similar features for external DSLs. This preprocessor takes the description of the semantics of a language (i.e. an interpreter) and, by combining compile-time interpretation and code generation, turns that definition into a compiler to ... | large_corpus_distillation |
"Transversality theorem-Infinite-dimensional version-The infinite-dimensional version of the transversality theorem takes into account that the manifolds may be modeled in Banach spaces.\nFormal statement Suppose F:X\u00d7S\u2192Y is a Ck map of C\u221e -Banach manifolds. Assume: (i) X,S and Y are non-empty, metri... | large_corpus_distillation |
"Longest common subsequence problem-Code for the dynamic programming solution-i\u22121 and 1..\nj , or 1..\ni and 1..\nj\u22121 " | large_corpus_distillation |
"Locally decodable code-Applications-Consider L limited to only length t inputs. Then we can see L as a binary string of length 2t , where each bit is L(x) for each x\u2208{0,1}t . We can use a polynomial length locally decodable code C with polylogarithmic query complexity that tolerates some constant fraction ... | large_corpus_distillation |
similarity of other domain-specific aspects are important as well; these can \u2014 and should be combined with relational structural-context similarity for an overall similarity measure.\nFor example, for Web pages SimRank can be combined with traditional textual similarity; the same idea applies to scientific papers ... | large_corpus_distillation |
"Reliability (computer networking)-Real-time systems-There is, however, a problem with the definition of reliability as \"delivery or notification of failure\" in real-time computing. In such systems, failure to deliver the real-time data will adversely affect the performance of the systems, and some systems, e.g. safe... | large_corpus_distillation |
"Tur\u00e1n's theorem-Proofs-In particular, given a Kr+1 -free graph, the following steps are applied: If u,v are non-adjacent vertices and u has a higher degree than v , replace v with a copy of u . Repeat this until all non-adjacent vertices have the same degree.\nIf u,v,w are vertices with u,v and v,w non-a... | large_corpus_distillation |
"Edge coloring-Relation to matching-A matching in a graph G is a set of edges, no two of which are adjacent; a perfect matching is a matching that includes edges touching all of the vertices of the graph, and a maximum matching is a matching that includes as many edges as possible. In an edge coloring, the set of edges... | large_corpus_distillation |
"Square-free integer-Erd\u0151s squarefree conjecture-The central binomial coefficient (2nn) is never squarefree for n > 4. This was proven in 1985 for all sufficiently large integers by Andr\u00e1s S\u00e1rk\u00f6zy, and for all integers > 4 in 1996 by Olivier Ramar\u00e9 and Andrew Granville." | large_corpus_distillation |
"Client-side prediction-Client-side prediction-Client-side prediction is a network programming technique used in video games intended to conceal negative effects of high latency connections. The technique attempts to make the player's input feel more instantaneous while governing the player's actions on a remote server... | large_corpus_distillation |
"Certificate Transparency-Certificate Transparency-RFC 9162 is a standard defining a system of public logs that seek to eventually record all certificates issued by publicly trusted certificate authorities, allowing efficient identification of mistakenly or maliciously issued certificates." | large_corpus_distillation |
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