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"ASP.NET AJAX-Web-services and JSON-ASP.NET AJAX framework brings JSONserialization features to the ASP.NET web-services and allows calling web-services from client-side JavaScript, even using third-party JavaScript-libraries like jQuery."
large_corpus_distillation
"Multicategory-Definition-A (non-symmetric) multicategory consists of a collection (often a proper class) of objects; for every finite sequence (Xi)i\u2208n of objects (for von Neumann ordinal n\u2208N ) and object Y, a set of morphisms from (Xi)i\u2208n to Y; and for every object X, a special identity morphism (wit...
large_corpus_distillation
"Witt group-Ring structure-The Witt group of k can be given a commutative ring structure, by using the tensor product of quadratic forms to define the ring product. This is sometimes called the Witt ring W(k), though the term \"Witt ring\" is often also used for a completely different ring of Witt vectors.\nTo discuss ...
large_corpus_distillation
"Stone space-Stone's representation theorem for Boolean algebras-To every Boolean algebra B we can associate a Stone space S(B) as follows: the elements of S(B) are the ultrafilters on B, and the topology on S(B), called the Stone topology, is generated by the sets of the form {F\u2208S(B):b\u2208F}, where b\u22...
large_corpus_distillation
"Kernel (operating system)-Device management-As device management is a very OS-specific topic, these drivers are handled differently by each kind of kernel design, but in every case, the kernel has to provide the I/O to allow drivers to physically access their devices through some port or memory location. Important dec...
large_corpus_distillation
"Cache-oblivious algorithm-Practicality-An empirical comparison of 2 RAM-based, 1 cache-aware, and 2 cache-oblivious algorithms implementing priority queues found that: Cache-oblivious algorithms performed worse than RAM-based and cache-aware algorithms when data fits into main memory.\nThe cache-aware algorithm did no...
large_corpus_distillation
which clearly is less than iS. Likewise, for a short circuit at the output, the amplifier delivers an output current io = Ai ii to the short circuit. However, when the load is a non-zero resistor RL, the current delivered to the load is reduced by current division to the value: iL=RoutRout+RLAiii."
large_corpus_distillation
"Windows NT-Major features-Windows NT 3.1 featured a core kernel providing a system API, running in supervisor mode (ring 0 in x86; referred to in Windows NT as \"kernel mode\" on all platforms), and a set of user-space environments with their own APIs which included the new Win32 environment, an OS/2 1.3 text-mode env...
large_corpus_distillation
"Kernel page-table isolation-Background on KAISER-In 2014, the Linux kernel adopted kernel address space layout randomization (KASLR), which makes it more difficult to exploit other kernel vulnerabilities, which relies on kernel address mappings remaining hidden from user space. Despite prohibiting access to these kern...
large_corpus_distillation
"Function (computer programming)-Optimization of function calls-There is a significant runtime overhead in calling a function, including passing the arguments, branching to the subprogram, and branching back to the caller. The overhead often includes saving and restoring certain processor registers, allocating and recl...
large_corpus_distillation
"Latin alpha-Usage-Although \u27e8\u0251\u27e9 is normally just an allograph of \u27e8a\u27e9, there are instances in which the two letters must be carefully distinguished: In the International Phonetic Alphabet, \u27e8\u0251\u27e9 represents an open back unrounded vowel, while \u27e8a\u27e9 represents an open front un...
large_corpus_distillation
"Blum\u2013Goldwasser cryptosystem-Blum\u2013Goldwasser cryptosystem-Because encryption is performed using a probabilistic algorithm, a given plaintext may produce very different ciphertexts each time it is encrypted. This has significant advantages, as it prevents an adversary from recognizing intercepted messages by ...
large_corpus_distillation
"Tally-Counting-Tally (voting), an unofficial private observation of an election count carried out under Proportional Representation using the Single Transferable Vote Tally counter, a mechanical device used to maintain a linear count Tally for knitting, or row counter for hand knitting, a tally counter for counting ro...
large_corpus_distillation
"Security modes-Dedicated security mode-In this mode of operation, all users must have: Signed NDA for ALL information on the system.\nProper clearance for ALL information on the system.\nFormal access approval for ALL information on the system.\nA valid need to know for ALL information on the system.All users can acce...
large_corpus_distillation
assigned. Contrast with Non-androgynous. See also Spacecraft docking and berthing mechanism.\nAssembly Specific arrangement of two or more attached parts. When used in the context of a CBM specification, a CBM \"half\" (either the entire ACBM, or the entire PCBM). See the CMAN Requirements (NASA/ISSP, 2000) \u00a7B.2."
large_corpus_distillation
"Dense set-Dense set-In topology and related areas of mathematics, a subset A of a topological space X is said to be dense in X if every point of X either belongs to A or else is arbitrarily \"close\" to a member of A \u2014 for instance, the rational numbers are a dense subset of the real numbers because every real nu...
large_corpus_distillation
or stem between the cotyledonary node and the first foliage leaves.\nepicuticular wax A layer of crystalline or amorphous wax deposited on the surface of the cuticle.\nepidermis An organ's outermost layer of cells, usually only one cell thick.\nepigynous Borne on the ovary; describes floral parts when attached above th...
large_corpus_distillation
"Geometrothermodynamics-Geometric aspects-The main ingredient of GTD is a (2n + 1)-dimensional manifold T with coordinates ZA={\u03a6,Ea,Ia} , where \u03a6 is an arbitrary thermodynamic potential, Ea , a=1,2,\u2026,n , are the extensive variables, and Ia the intensive variables. It is also possible to introduce i...
large_corpus_distillation
"Fractional Pareto efficiency-Characterization-Maximizing a weighted sum of utilities An allocation is fPO if-and-only-if it maximizes a weighted sum of the agents' utilities. Formally, let w be a vector of size n, assigning a weight wi to every agent i. We say that an allocation z is w-maximal if one of the following ...
large_corpus_distillation
"Rational sieve-Method-Suppose we are trying to factor the composite number n. We choose a bound B, and identify the factor base (which we will call P), the set of all primes less than or equal to B. Next, we search for positive integers z such that both z and z+n are B-smooth \u2014 i.e. all of their prime factors are...
large_corpus_distillation
"Wordfilter-Wordfilter-A wordfilter (sometimes referred to as just \"filter\" or \"censor\") is a script typically used on Internet forums or chat rooms that automatically scans users' posts or comments as they are submitted and automatically changes or censors particular words or phrases.\nThe most basic wordfilters s...
large_corpus_distillation
strange. To state the result succinctly, we will indicate the dependence of the of the probability\nP p\u2208(0,1)\nmeasure on the parameter . First we define\n1 n\nC ={x\u2208[0,1]: \u2211(1\u2212x )\u2192p as n\u2192\u221e} (13.10.6)\np i\nn\ni=1\nC x\u2208[0,1] p\nThus, p is the set of for which the relative frequen...
large_corpus_distillation
or her peers do not agree\", and various other approaches all have their uses. Nevertheless, evaluation of them can help build knowledge of what works or works best."
large_corpus_distillation
"Authenticator-Comparison-Google used the evaluation framework of Bonneau et al. to compare security keys to passwords and one-time passwords. They concluded that security keys are more usable and deployable than one-time passwords, and more secure than both passwords and one-time passwords."
large_corpus_distillation
"Negative raising-Negative raising in other languages-Negative nai 'not' Neg-head raising is also evidenced from the negative nai 'not'. The negative nai 'not' is neg-head raised, but it seems presently to only be raised when with a predicate with some verbal properties, as is shown by the NPI data. The evidence provid...
large_corpus_distillation
"Let expression-Rules for conversion between lambda calculus and let expressions-Example For example, the Y combinator, \u03bbf.(\u03bbx.f(xx))(\u03bbx.f(xx)) is converted to, let let in in \u2061p Conversion from let to lambda expressions These rules reverse the conversion described above. They convert from a let expr...
large_corpus_distillation
are proved by partitioning P\u2032 into pairwise disjoint sets: P\u2032 = (P\u2032\\ P(2)) \u222a (P(2) \\ P(3)) \u222a \u00b7\u00b7\u00b7 \u222a (P(\u221e) \\ P(\u221e + 1)) \u222a \u00b7\u00b7\u00b7 \u222a P(\u03b1). For \u03b2 < \u03b1: since P(\u03b2 + 1) contains the limit points of P(\u03b2), the sets P(\u03b2) \...
large_corpus_distillation
"Sparse dictionary learning-Algorithms-MOD has proved to be a very efficient method for low-dimensional input data X requiring just a few iterations to converge. However, due to the high complexity of the matrix-inversion operation, computing the pseudoinverse in high-dimensional cases is in many cases intractable. Th...
large_corpus_distillation
"Quality engineering-Quality objectives-Quality objectives describe basic requirements for software quality. In quality engineering they often address the quality attributes of availability, security, safety, reliability and performance. With the help of quality models like ISO/IEC 25000 and methods like the Goal Quest...
large_corpus_distillation
"Regularized least squares-Specific examples-Besides feature selection described above, LASSO has some limitations. Ridge regression provides better accuracy in the case n>d for highly correlated variables. In another case, n<d , LASSO selects at most n variables. Moreover, LASSO tends to select some arbitrary varia...
large_corpus_distillation
"HElib-HElib-Homomorphic Encryption library or HElib is a free and open-source cross platform software developed by IBM that implements various forms of homomorphic encryption."
large_corpus_distillation
"Logistic regression-Error and significance of fit-The maximum value of the log-likelihood for the simple model is 8.02988...\nso that the deviance is 11.6661..."
large_corpus_distillation
"Legendre polynomials-Definition by construction as an orthogonal system-In this approach, the polynomials are defined as an orthogonal system with respect to the weight function w(x)=1 over the interval [\u22121,1] . That is, Pn(x) is a polynomial of degree n , such that With the additional standardization conditi...
large_corpus_distillation
maintained by Dmitry Levin. strace gained support for AArch64, ARC, AVR32, Blackfin, Meta, Nios II, OpenSISC 1000, RISC-V, Tile/TileGx, Xtensa architectures since that time."
large_corpus_distillation
"Chomsky normal form-Converting a grammar to Chomsky normal form-To remove it, for each rule B \u2192 X1 ... Xn,where X1 ... Xn is a string of nonterminals and terminals, add rule A \u2192 X1 ... Xnunless this is a unit rule which has already been (or is being) removed. The skipping of nonterminal symbol B in the res...
large_corpus_distillation
"WLAN Authentication and Privacy Infrastructure-WAPI Alliance-A \"WAPI Alliance\" analogous to the Wi-Fi Alliance exists in China."
large_corpus_distillation
together, the effective associativity of the L1 caches is restricted. Another disadvantage of inclusive cache is that whenever there is an eviction in L2 cache, the (possibly) corresponding lines in L1 also have to get evicted in order to maintain inclusiveness. This is quite a bit of work, and would result in a higher...
large_corpus_distillation
"Latent Dirichlet allocation-Model-With plate notation, which is often used to represent probabilistic graphical models (PGMs), the dependencies among the many variables can be captured concisely. The boxes are \"plates\" representing replicates, which are repeated entities. The outer plate represents documents, while ...
large_corpus_distillation
"Generalized linear model-Model components-The GLM consists of three elements: 1. A particular distribution for modeling Y from among those which are considered exponential families of probability distributions, 2. A linear predictor \u03b7=X\u03b2 , and 3. A link function g such that E\u2061(Y\u2223X)=\u03bc=g\u22...
large_corpus_distillation
"VisIt-Summary-VisIt follows a data flow network paradigm where interoperable modules are connected to perform custom analysis. The modules come from VisIt's five primary user interface abstractions and there are many examples of each."
large_corpus_distillation
5.2 is recurrent for p\u22641/2 and transient for p>1/2. For p=1/2,\nthe chain is called null-recurrent, as explained later.\nIn general, we will find that for a recurrent state j, the sequence of subsequent entries to state j, conditional on starting in j, forms\na renewal process. The renewal theorems then specify th...
large_corpus_distillation
"Generating function-Applications-First, we use the binomial transform to write the generating function for the first sum as Since the generating function for the sequence \u27e8 (n + 1)(n + 2)(n + 3) fn \u27e9 is given by we may write the generating function for the second sum defined above in the form In particular, ...
large_corpus_distillation
"Cornish\u2013Fisher expansion-Example-Let X be a random variable with mean 10, variance 25, skew 5, and excess kurtosis of 2. We can use the first two bracketed terms above, which depend only on skew and kurtosis, to estimate quantiles of this random variable. For the 95th percentile, the value for which the standard ...
large_corpus_distillation
techniques such as principal components analysis (PCA). The distinction between feature selection and feature extraction is that the resulting features after feature extraction has taken place are of a different sort than the original features and may not easily be interpretable, while the features left after feature s...
large_corpus_distillation
"Either\u2013or topology-Either\u2013or topology-In mathematics, the either\u2013or topology is a topological structure defined on the closed interval [\u22121, 1] by declaring a set open if it either does not contain {0} or does contain (\u22121, 1)."
large_corpus_distillation
5 resulted in serious injuries and 6 resulted in fatalities.:\u200a7\u200a The most commonly-reported damage location was the front of the ADAS-equipped vehicle.:\u200a8 "
large_corpus_distillation
"Restricted randomization-Split-plot designs-As a result, the treatment combinations might be randomized such that those treatment runs corresponding to one level of the concentration (\u22121) are run first. Each copper strip is individually plated, meaning only one strip at a time is placed in the solution for a give...
large_corpus_distillation
"Gross substitutes (indivisible items)-Definitions-Given a utility function u and a price vector p , a set X is called a demand if it maximizes the net utility of the agent: u(X)\u2212p\u22c5X The demand set D(u,p) is the set of all demands.The GS property means that when the price of some items increases, the dem...
large_corpus_distillation
p[], []p or ]p[, p[2]1 or p[1]p. The symmetry is isomorphic to the cyclic group, order p. The subgroups of p[] are any whole divisor d, d[], where d\u22652."
large_corpus_distillation
31 pure vowels, not counting its additional variation by vowel length, by varying the phonation. As regards consonant phonemes, Puinave and the Papuan language Tauade each have just seven, and Rotokas has only six. !X\u00f3\u00f5, on the other hand, has somewhere around 77, and Ubykh 81. The English language uses a rat...
large_corpus_distillation
polynomials will work in the usual fashion with results of a multiplication reduced mod \u03a6(x). For this presentation a typical polynomial is expressed as: a(x)=a0+a1x+a2x2+\u2026+an\u22123xn\u22123+an\u22122xn\u22122+an\u22121xn\u22121 The field Zq has its representative elements in the set { -(q-1)/2, ...-1, 0, 1,...
large_corpus_distillation
"Encrypted key exchange-Encrypted key exchange-Encrypted Key Exchange (also known as EKE) is a family of password-authenticated key agreement methods described by Steven M. Bellovin and Michael Merritt. Although several of the forms of EKE in this paper were later found to be flawed, the surviving, refined, and enhance...
large_corpus_distillation
"Longest common subsequence problem-Solution for two sequences-LCS(R1, C2) is determined by comparing G and G. They match, so G is appended to the upper left sequence, LCS(R0, C1), which is (\u03b5), giving (\u03b5G), which is (G).\nFor LCS(R1, C3), G and C do not match. The sequence above is empty; the one to the left...
large_corpus_distillation
"Skip list-Description-A skip list is built in layers. The bottom layer 1 is an ordinary ordered linked list. Each higher layer acts as an \"express lane\" for the lists below, where an element in layer i appears in layer i+1 with some fixed probability p (two commonly used values for p are 1/2 or 1/4 ). On aver...
large_corpus_distillation
"Pipeline (computing)-Pipeline (computing)-Graphics pipelines, found in most graphics processing units (GPUs), which consist of multiple arithmetic units, or complete CPUs, that implement the various stages of common rendering operations (perspective projection, window clipping, color and light calculation, rendering, ...
large_corpus_distillation
"Binary search tree-Binary search tree-In computer science, a binary search tree (BST), also called an ordered or sorted binary tree, is a rooted binary tree data structure with the key of each internal node being greater than all the keys in the respective node's left subtree and less than the ones in its right subtre...
large_corpus_distillation
"Dereference operator-Support in various programming languages-However, an exception to this is from using the IntPtr structure, which is a memory managed equivalent to int*, and does not require the unsafe keyword nor the CompilerServices assembly. This type is often returned when using methods from the System.Runtime...
large_corpus_distillation
"RSA numbers-RSA-230-RSA-230 has 230 decimal digits (762 bits), and was factored by Samuel S. Gross on August 15, 2018.\nRSA-230 = 1796949159794106673291612844957324615636756180801260007088891883553172646034 1490933493372247868650755230855864199929221814436684722874052065257937495694 34838926317115252252565441098081917...
large_corpus_distillation
"Knome-Technology-Knome developed technologies that automated many of the manual tasks involved in interpreting whole human genomes. These technologies were designed to address the informatics and workflow bottlenecks that typically hinder whole genome interpretation. The company\u2019s core technology, kGAP, was devel...
large_corpus_distillation
"Glossary of artificial intelligence-S-semantic query Allows for queries and analytics of associative and contextual nature. Semantic queries enable the retrieval of both explicitly and implicitly derived information based on syntactic, semantic and structural information contained in data. They are designed to deliver...
large_corpus_distillation
"palindrome(word.strip(word[0]))\n\"madamm\"\ncount() 0\nlist_num = [1, 3, 3, 4] list_num.count(3) 2\npermu_check()\nlist_num = [1, 7, 99, 2]\nother_list = [99, 7, 1, 2]\nTrue\nFalse\nlist_num = [22, 9, 15, 17, 15]\nother_list = [17, 9, 22, 22, 15]\nTrue\nFalse\nhonors_list = [\"Bo\", \"Joe\", \"Sandy\"]\nfirst_names_o...
large_corpus_distillation
"Password strength-Password policy-A password policy is a guide to choosing satisfactory passwords. It is intended to: assist users in choosing strong passwords ensure the passwords are suited to the target population Provide recommendations for users concerning the handling of their passwords impose a recommendation t...
large_corpus_distillation
"Open-world assumption-Logical implication-Heuristically, the open-world assumption applies when we represent knowledge within a system as we discover it, and where we cannot guarantee that we have discovered or will discover complete information. In the OWA, statements about knowledge that are not included in or infer...
large_corpus_distillation
"Inflection-Inflection-Languages that have some degree of inflection are synthetic languages. These can be highly inflected (such as Latin, Greek, Biblical Hebrew, and Sanskrit), or slightly inflected (such as English, Dutch, Persian). Languages that are so inflected that a sentence can consist of a single highly infle...
large_corpus_distillation
"Kriging-Main principles-For simplicity, we define C(xi,xj)=C(Z(xi),Z(xj)) and \u03b3(xi,xj)=\u03b3(Z(xi),Z(xj)) This hypothesis allows one to infer those two measures \u2013 the variogram and the covariogram: \u03b3(h)=12|N(h)|\u2211(i,j)\u2208N(h)(Z(xi)\u2212Z(xj))2, C(h)=1|N(h)|\u2211(i,j)\u2208N(h)(Z(xi)\u2212m(h...
large_corpus_distillation
"Computational complexity of matrix multiplication-Related problems-Problems that have the same asymptotic complexity as matrix multiplication include determinant, matrix inversion, Gaussian elimination (see next section). Problems with complexity that is expressible in terms of \u03c9 include characteristic polynomia...
large_corpus_distillation
and the algorithm terminates by returning Jaro similarity score 0."
large_corpus_distillation
"Data Encryption Standard-History-The introduction of DES is considered to have been a catalyst for the academic study of cryptography, particularly of methods to crack block ciphers. According to a NIST retrospective about DES, The DES can be said to have \"jump-started\" the nonmilitary study and development of encry...
large_corpus_distillation
i\nb. Generalize a) to a k by k block of a Jordan form. Note that the nth power of an entire Jordan form is composed of these\nblocks along the diagonal of the matrix.\nc. Let [P] be a stochastic matrix represented by a Jordan form [J] as [P]=U\u22121[J][U] and consider [U][P][U\u22121]=[J].\nShow that any repeated eig...
large_corpus_distillation
"Feature selection-Correlation feature selection-The correlation feature selection (CFS) measure evaluates subsets of features on the basis of the following hypothesis: \"Good feature subsets contain features highly correlated with the classification, yet uncorrelated to each other\". The following equation gives the m...
large_corpus_distillation
"Operating system-Components-In both segmentation and paging, certain protected mode registers specify to the CPU what memory address it should allow a running program to access. Attempts to access other addresses trigger an interrupt, which causes the CPU to re-enter supervisor mode, placing the kernel in charge. This...
large_corpus_distillation
one can derive a bootstrap confidence interval for the purpose of hypothesis testing."
large_corpus_distillation
"IOS 13-App features-Maps The Maps app features a redesigned maps UI, featuring more detailed maps, and Look Around, a street level imagery implementation similar to Google Street View.\nReminders Redesigned and rebuilt from the ground up with new features such as the ability to suggest when a reminder should be delive...
large_corpus_distillation
the stock photo industry.In 2022, Fotor added an AI Image Generator to its platform, which allows users to create images from text."
large_corpus_distillation
locally distinct networks and to remote networks through another gateway."
large_corpus_distillation
"Azure DevOps Server-Team Build-The build process can be configured for various types of builds including scheduled builds, continuous integration, gated check-in and rolling builds. A gated check-in build will shelve code that a developer checks in, perform a \"get latest\" on the server code and perform a build. If t...
large_corpus_distillation
in standard position, form a right angle\n(Figure 12.3.3). We can formalize this result into a theorem regarding orthogonal (perpendicular) vectors.\nFigure 12.3.3: (a) An acute angle has 0<cos\u03b8<1. (b) An obtuse angle has \u22121<cos\u03b8<0. (c) A straight line has cos\u03b8=\u22121.\n(d) If the vectors have the ...
large_corpus_distillation
"9.8: Rational Exponents\n\uf5dc Learning Objectives\nBy the end of this section, you will be able to:\nSimplify expressions with a n 1\nSimplify expressions with\nam\nn\nUse the Laws of Exponents to simply expressions with rational exponents\n\uf128 Be Prepared\nBefore you get started, take this readiness quiz.\n1. Ad...
large_corpus_distillation
"Multiplicative digital root-Literature-Guy, Richard K. (2004). Unsolved problems in number theory (3rd ed.). Springer-Verlag. pp. 398\u2013399. ISBN 978-0-387-20860-2. Zbl 1058.11001."
large_corpus_distillation
Because these are all transverse (i.e. projected to the spatial hyperplane elements orthogonal to our timelike unit vector field), they can be represented as linear operators on three-dimensional vectors, or as three by three real matrices. They are respectively symmetric, traceless, and symmetric (6,8,6 linearly indep...
large_corpus_distillation
"Sparse matrix-Sparse matrix-When storing and manipulating sparse matrices on a computer, it is beneficial and often necessary to use specialized algorithms and data structures that take advantage of the sparse structure of the matrix. Specialized computers have been made for sparse matrices, as they are common in the ...
large_corpus_distillation
"Single instruction, multiple threads-Single instruction, multiple threads-The processors, say a number p of them, seem to execute many more than p tasks. This is achieved by each processor having multiple \"threads\" (or \"work-items\" or \"Sequence of SIMD Lane operations\"), which execute in lock-step, and are analo...
large_corpus_distillation
"Denial-of-service attack-Attack techniques-R-U-Dead-Yet? (RUDY) RUDY attack targets web applications by starvation of available sessions on the web server. Much like Slowloris, RUDY keeps sessions at halt using never-ending POST transmissions and sending an arbitrarily large content-length header value.\nSACK Panic Ma...
large_corpus_distillation
"Self-balancing binary search tree-Self-balancing binary search tree-In computer science, a self-balancing binary search tree (BST) is any node-based binary search tree that automatically keeps its height (maximal number of levels below the root) small in the face of arbitrary item insertions and deletions.\nThese oper...
large_corpus_distillation
"UMTS-Features-UMTS supports maximum theoretical data transfer rates of 42 Mbit/s when Evolved HSPA (HSPA+) is implemented in the network. Users in deployed networks can expect a transfer rate of up to 384 kbit/s for Release '99 (R99) handsets (the original UMTS release), and 7.2 Mbit/s for High-Speed Downlink Packet A...
large_corpus_distillation
"X86 assembly language-Registers-The x86 registers can be used by using the MOV instructions. For example, in Intel syntax: "
large_corpus_distillation
"Polar decomposition-Properties-The positive-semidefinite matrix P is always unique, even if A is singular, and is denoted aswhere A\u2217 denotes the conjugate transpose of A . The uniqueness of P ensures that this expression is well-defined. The uniqueness is guaranteed by the fact that A\u2217A is a positive-semi...
large_corpus_distillation
"Threading Building Blocks-Overview-oneTBB implements work stealing to balance a parallel workload across available processing cores in order to increase core utilization and therefore scaling. Initially, the workload is evenly divided among the available processor cores. If one core completes its work while other core...
large_corpus_distillation
"Kernelization-Kernelization-Kernelization is often achieved by applying a set of reduction rules that cut away parts of the instance that are easy to handle. In parameterized complexity theory, it is often possible to prove that a kernel with guaranteed bounds on the size of a kernel (as a function of some parameter a...
large_corpus_distillation
"Multiple subset sum-Max-sum and max-min MSSP-When m is variable (a part of the input), both problems are strongly NP-hard, by reduction from 3-partition. This means that they have no fully polynomial-time approximation scheme (FPTAS) unless P=NP.\nEven when m=2, the problems do not have an FPTAS unless P=NP. This can ...
large_corpus_distillation
"Axiom-Mathematical logic-Examples Propositional logic In propositional logic it is common to take as logical axioms all formulae of the following forms, where \u03d5 , \u03c7 , and \u03c8 can be any formulae of the language and where the included primitive connectives are only \" \u00ac \" for negation of the immed...
large_corpus_distillation
"Adaptive Huffman coding-Algorithms-There are a number of implementations of this method, the most notable are FGK (Faller-Gallager-Knuth) and Vitter algorithm."
large_corpus_distillation
claim for the origin of the term \"K correction\" is Edwin Hubble, who supposedly arbitrarily chose K to represent the reduction factor in magnitude due to this same effect and who may not have been aware / given credit to the earlier work. The K-correction can be defined as follows log 10 \u2061DL\u22121)\u2212KCorr ...
large_corpus_distillation
"Prefix code-Prefix code-The variable-length Huffman codes, country calling codes, the country and publisher parts of ISBNs, the Secondary Synchronization Codes used in the UMTS W-CDMA 3G Wireless Standard, and the instruction sets (machine language) of most computer microarchitectures are prefix codes.\nPrefix codes a...
large_corpus_distillation
length of the repeated sequence and/or the mode of multiplication."
large_corpus_distillation
"Intent log-Intent log-An intent log is a mechanism used to make computer operations more resilient in the event of failures. They are used in database software, transaction managers, and some file systems. In database area, transaction log is widely used. In file system area, intent log is used more often.Before perfo...
large_corpus_distillation
"Integer complexity-Example-The complexities of the numbers 1, 2, 3, ... are 1, 2, 3, 4, 5, 5, 6, 6, 6, 7, 8, 7, 8, 8, 8, 8, 9, 8, ... (sequence A005245 in the OEIS)The smallest numbers with complexity 1, 2, 3, ... are 1, 2, 3, 4, 5, 7, 10, 11, 17, 22, 23, 41, 47, ... (sequence A005520 in the OEIS) "
large_corpus_distillation
"Anagram-History-Latin continued to influence letter values (such as I = J, U = V and W = VV). There was an ongoing tradition of allowing anagrams to be \"perfect\" if the letters were all used once, but allowing for these interchanges. This can be seen in a popular Latin anagram against the Jesuits: Societas Jesu turn...
large_corpus_distillation
"Similarity measure-Use in sequence alignment-Amino acid similarity matrices are more complicated, because there are 20 amino acids coded for by the genetic code, and so a larger number of possible substitutions. Therefore, the similarity matrix for amino acids contains 400 entries (although it is usually symmetric). T...
large_corpus_distillation
"Inequalities in information theory-Lower bounds for the Kullback\u2013Leibler divergence-A great many important inequalities in information theory are actually lower bounds for the Kullback\u2013Leibler divergence. Even the Shannon-type inequalities can be considered part of this category, since the interaction inform...
large_corpus_distillation