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to one of those operating systems, because broader adaptations are often the ones that lead to success. If all the above-mentioned points are put under consideration, the business can achieve a frictionless and bottle-neckless mobile business collaboration."
large_corpus_distillation
"Prior-independent mechanism-Single-parametric agents-discuss arbitrary auctions with single-parameter utility agents (not only single-item auctions), and arbitrary auction-mechanisms (not only specific auctions). Based on known results about sample complexity, they show that the number of samples required to approxima...
large_corpus_distillation
"Radio coloring-Radio coloring-The span of a radio coloring is its maximum label, and the radio coloring number of a graph is the smallest possible span of a radio coloring. For instance, the graph consisting of two vertices with a single edge has radio coloring number 3: it has a radio coloring with one vertex labeled...
large_corpus_distillation
"Davis\u2013Putnam algorithm-Overview-The procedure for checking validity of a formula \u03c6 roughly consists of these three parts: put the formula \u00ac\u03c6 in prenex form and eliminate quantifiers generate all propositional ground instances, one by one check if each instance is satisfiable.\nIf some instance is u...
large_corpus_distillation
"KL-ONE-KL-ONE-KL-ONE (pronounced \"kay ell won\") is a knowledge representation system in the tradition of semantic networks and frames; that is, it is a frame language. The system is an attempt to overcome semantic indistinctness in semantic network representations and to explicitly represent conceptual information a...
large_corpus_distillation
other. Mandarin Chinese is an example of such a language. However, other possibilities exist. Serbo-Croatian has alveolar, flat postalveolar and alveolo-palatal affricates whereas Basque has palato-alveolar and laminal and apical alveolar (apico-alveolar) fricatives and affricates (late Medieval peninsular Spanish and ...
large_corpus_distillation
.When trying to minimize this upper bound, we want to pick q that balances/minimizes these two terms. This result illustrates the value of ordering vertices by maximum degree (to minimize |A(j1,\u2026jq)| )."
large_corpus_distillation
"Quadrilateral-Simple quadrilaterals-Parallelogram: a quadrilateral with two pairs of parallel sides. Equivalent conditions are that opposite sides are of equal length; that opposite angles are equal; or that the diagonals bisect each other. Parallelograms include rhombi (including those rectangles called squares) and ...
large_corpus_distillation
clusters are neighboring to each other, is based on two transformations: 1) a vertex is moved from one to another cluster or 2) a pair of vertices is interchanged between two different clusters."
large_corpus_distillation
"Video game programming-Development process-Testing The formal quality assurance testing process, performed by professional game testers, begins well into game development. High-budget titles may begin testing with the first playable alpha, while low-budget and casual games might not enter testing until a release candi...
large_corpus_distillation
W (t)exp( \u2212\u03b1\u02c6 )+ W (t)exp( \u03b1\u02c6 ) (11)\nm\u22121 m m\u22121 m\nt: yt =h(xt;\u03b8\u02c6 m) t: yt\ufffd=h(xt;\u03b8\u02c6 m)\n= (1 \u2212 \ufffd\u02c6 )exp( \u2212\u03b1\u02c6 )+\ufffd\u02c6 exp( \u03b1\u02c6 ) (12)\nm m m m\n\ufffd \ufffd\n\ufffd\u02c6 1 \u2212 \ufffd\u02c6\n= (1 \u2212 \ufffd\u0...
large_corpus_distillation
"Feature (machine learning)-Feature types-Numerical features are continuous values that can be measured on a scale. Examples of numerical features include age, height, weight, and income. Numerical features can be used in machine learning algorithms directly.Categorical features are discrete values that can be grouped ...
large_corpus_distillation
"Charm (programming language)-Grammar-The definition of the Charm grammar in Backus\u2013Naur form along with descriptive examples of Charm constructs is defined on the Charm language page.The language is block structured, with each block being introduced by a language keyword that is descriptive of the operation being...
large_corpus_distillation
"Conditioning (probability)-Conditioning (probability)-Beliefs depend on the available information. This idea is formalized in probability theory by conditioning. Conditional probabilities, conditional expectations, and conditional probability distributions are treated on three levels: discrete probabilities, probabili...
large_corpus_distillation
"Heyting algebra-Alternative definitions-Given a set A with three binary operations \u2192, \u2227 and \u2228, and two distinguished elements \u22a5 and \u22a4 , then A is a Heyting algebra for these operations (and the relation \u2264 defined by the condition that a\u2264b when a\u2192b = \u22a4 ) if and only if t...
large_corpus_distillation
"Nielsen transformation-Applications-Product replacement algorithm In computational group theory, it is important to generate random elements of a finite group. Popular methods of doing this apply markov chain methods to generate random generating sets of the group. The \"product replacement algorithm\" simply uses ran...
large_corpus_distillation
"Silhouette-History-Profile portraits For the depiction of portraits, the profile image has marked advantage over a full-face image in many circumstances, because it depends strongly upon the proportions and relationship of the bony structures of the face (the forehead, nose and chin) making the image is clear and simp...
large_corpus_distillation
"Transshipment problem-Formulation of the problem-A few initial assumptions are required in order to formulate the transshipment problem completely: The system consists of m origins and n destinations, with the following indexing respectively: i=1,\u2026,m , j=1,\u2026,n One uniform good exists which needs to be ship...
large_corpus_distillation
"Newick format-Dialects-For example, if leaf Y is the product of hybridisation (x) between lineages leading to C and D in the tree above, one can express this situation by defining two trees in standard Newick notation (A,B,((C,Y)c,D)e)f; and (A,B,(C,(Y,D)d)e)f; standard Newick, all nodes are named (internal nodes lo...
large_corpus_distillation
"Elliptic curve-The group law-Since the curve is smooth, hence continuous, it can be shown that this point at infinity is the identity element of a group structure whose operation is geometrically described thereafter.\nSince the curve is symmetrical about the x-axis, given any point P, we can take \u2212P to be the po...
large_corpus_distillation
"Tracing just-in-time compilation-History-Whereas the idea of JITs reaches back to the 1960s, tracing JITs have become used more often only recently. The first mention of an idea that is similar to today's idea of tracing JITs was in 1970. It was observed that compiled code could be derived from an interpreter at run-t...
large_corpus_distillation
"Streaming algorithm-Streaming algorithm-In computer science, streaming algorithms are algorithms for processing data streams in which the input is presented as a sequence of items and can be examined in only a few passes, typically just one. These algorithms are designed to operate with limited memory, generally logar...
large_corpus_distillation
"Q&A software-Mechanisms-Motivation for answering: Answering behaviors have raised curiosity among researchers, because there is in general no explicit compensations against the activity. Raban and Harper (2008) asked people who answered questions on social Q&A about the motivation of their answering behavior as we...
large_corpus_distillation
stress.E.g. with sugar or without sugar? (the second sugar is more heavily stressed) Vietnamese Note: There are three main dialects of Vietnamese, a northern one centered on Hanoi, a central one centered on Hu\u1ebf, and a southern one centered on Ho Chi Minh City.\nSpeakers may not produce final consonants since there...
large_corpus_distillation
through the judicious use of operators.\nThe map functional can be especially helpful since it works on more than just ad-hoc monadic functions; so long as a monadic function should work analogously to a predefined operator, map can be used to instantly \"lift\" the simpler operator into a monadic one.\nWith this techn...
large_corpus_distillation
"Wi-Fi-Performance-Throughput Various layer-2 variants of IEEE 802.11 have different characteristics. Across all flavours of 802.11, maximum achievable throughputs are either given based on measurements under ideal conditions or in the layer-2 data rates. This, however, does not apply to typical deployments in which da...
large_corpus_distillation
"Structure theorem for finitely generated modules over a principal ideal domain-Structure theorem for finitely generated modules over a principal ideal domain-In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the f...
large_corpus_distillation
"Injective object-Examples-In the category of abelian groups and group homomorphisms, Ab, an injective object is necessarily a divisible group. Assuming the axiom of choice, the notions are equivalent.\nIn the category of (left) modules and module homomorphisms, R-Mod, an injective object is an injective module. R-Mod ...
large_corpus_distillation
"Processor sharing-Generalized processor sharing-Generalized processor sharing is a multi-class adaptation of the policy which shares service capacity according to positive weight factors to all non-empty job classes at the node, irrespective of the number of jobs of each class present. Often it is assumed that the job...
large_corpus_distillation
"Bowling green-Bowling green-A bowling green is a finely laid, close-mown and rolled stretch of turf for playing the game of bowls."
large_corpus_distillation
"First fundamental form-Definition-Let X(u, v) be a parametric surface. Then the inner product of two tangent vectors is where E, F, and G are the coefficients of the first fundamental form.\nThe first fundamental form may be represented as a symmetric matrix."
large_corpus_distillation
"Branching (version control)-Distributed revision control-Repository clones In distributed revision control, the entire repository, with branches, may be copied and worked on further. Monotone (mtn), Mercurial (hg) and git call it \"clone\"; Bazaar calls it \"branch\".In some distributed revision control systems, such ...
large_corpus_distillation
"N170-Faces or interstimulus variance-In response to this, Rossion and Jacques measured similarity as above for several object categories used in a previous study of the N170. They found that faces elicited a larger N170 than other classes of objects that had similar or higher similarity values, such as houses, cars, a...
large_corpus_distillation
learning Proaftn, a multicriteria classification algorithm "
large_corpus_distillation
"Prosecutor's fallacy-False positive paradox-An example of the base rate fallacy is the false positive paradox (also known as accuracy paradox). This paradox describes situations where there are more false positive test results than true positives. For example, if a facial recognition camera can identify wanted crimina...
large_corpus_distillation
"Map database management-Content of a map database-A map database represents a road network along with associated features. Map providers can choose various models of a road network as a basis to formulate a database. Commonly, such a model comprises basic elements (nodes, links and areas) of the road network and prope...
large_corpus_distillation
"Multiply-with-carry pseudorandom number generator-Choice of multiplier-Following are some maximal values of a for computer applications which satisfy the above safe prime condition, for lag-1 generators: While a safe prime ensures that almost any element of the group has a large order, the period of the generator is s...
large_corpus_distillation
"Year 2038 problem-Year 2038 problem-The problem exists in systems which measure Unix time \u2013 the number of seconds elapsed since the Unix epoch (00:00:00 UTC on 1 January 1970) \u2013 and store it in a signed 32-bit integer. The data type is only capable of representing integers between \u2212(231) and 231 \u2212 ...
large_corpus_distillation
"Geodesic convexity-Definitions-Let (M, g) be a Riemannian manifold.\nA subset C of M is said to be a geodesically convex set if, given any two points in C, there is a unique minimizing geodesic contained within C that joins those two points.\nLet C be a geodesically convex subset of M. A function f:C\u2192R is said t...
large_corpus_distillation
"Context mixing-Application to Data Compression-Suppose that we are given two conditional probabilities, P(X|A) and P(X|B) , and we wish to estimate P(X|A,B) , the probability of event X given both conditions A and B . There is insufficient information for probability theory to give a result. In fact, it is possib...
large_corpus_distillation
"Self-stabilization-Overview-Initial self stabilizing protocols were also presented in the above papers. More efficient reset protocols were presented later, e.g.Additional efficiency was introduced with the notion of time-adaptive protocols. The idea behind these is that when only a small number of errors occurs, the ...
large_corpus_distillation
"Divide-and-conquer eigenvalue algorithm-Conquer-The conquer part of the algorithm is the unintuitive part. Given the diagonalizations of the submatrices, calculated above, how do we find the diagonalization of the original matrix? First, define zT=(q1T,q2T) , where q1T is the last row of Q1 and q2T is the first ro...
large_corpus_distillation
"\uf128 Try It 6.7.20\nSimplify:\n1.\n8p\u22121\n2.\n(8p)\u22121\n3.\n(\u22128p)\u22121\nAnswer\n8\n1.\np\n1\n2.\n8p\n1\n3. \u2212\n8p\n\uf128 Try It 6.7.21\nSimplify:\n1. 11q\u22121\n2. (11q)\u22121\n3. (\u221211q)\u22121\nAnswer\n11\n1.\nq\n1\n2.\n11q\n1\n3. \u2212\n11q\nam\nWith negative exponents, the Quotient Rule...
large_corpus_distillation
"BookScouter.com-Business model-BookScouter's price comparison engine aggregates data from partnering vendors and their offers on a single book, identified by its unique ISBN. BookScouter neither buys books directly from sellers nor sets the prices. All the offers available on the website are set by vendors.BookScouter...
large_corpus_distillation
"Primorial-Characteristics-The sum of the reciprocal values of the primorial converges towards a constant 30 7052301717918 \u2026 The Engel expansion of this number results in the sequence of the prime numbers (See (sequence A064648 in the OEIS))According to Euclid's theorem, p#+1 is used to prove the infinitude of th...
large_corpus_distillation
"Automated information systems security-Risk management-Logical Logical controls (also called technical controls) use software and data to monitor and control access to information and computing systems. Passwords, network and host-based firewalls, network intrusion detection systems, access control lists, and data enc...
large_corpus_distillation
"Propositional calculus-Example 2. Natural deduction system-Negation introduction From (p\u2192q) and (p\u2192\u00acq) , infer \u00acp That is, {(p\u2192q),(p\u2192\u00acq)}\u22a2\u00acp Negation elimination From \u00acp , infer (p\u2192r) That is, {\u00acp}\u22a2(p\u2192r) Double negation elimination From \u00...
large_corpus_distillation
"Cloud database-Cloud database-Database services take care of scalability and high availability of the database. Database services make the underlying software-stack transparent to the user."
large_corpus_distillation
"Constraint grammar-Implementations-CG-3 The VISL project later turned into VISL CG-3, which brought further changes and additions to the grammar format, e.g.: full Unicode support through International Components for Unicode different interpretation of negation (NOT) named relations in addition to plain dependency rel...
large_corpus_distillation
earlier ontology language projects including OIL, DAML and DAML+OIL. OWL is intended to be used over the World Wide Web, and all its elements (classes, properties and individuals) are defined as RDF resources, and identified by URIs.\nOntoUML is a well-founded language for specifying reference ontologies.\nSHACL (RDF S...
large_corpus_distillation
"Lag (video games)-Cloud gaming-There is also much controversy about the lag associated with cloud gaming. In multiplayer games using a client/server network architecture, the player's computer renders the game's graphics locally and only information about the player's in-game actions are sent to the server. For exampl...
large_corpus_distillation
process the moves and display the results to each player before they could enter their next set of orders."
large_corpus_distillation
"Shor's algorithm-Shor's algorithm-Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor. It is one of the few known quantum algorithms with compelling potential applications and strong evidence of superpolynomial speedup c...
large_corpus_distillation
"LLVM-Components-Frontends LLVM was originally written to be a replacement for the existing code generator in the GCC stack, and many of the GCC frontends have been modified to work with it, resulting in the now-defunct LLVM-GCC suite. The modifications generally involve a GIMPLE-to-LLVM IR step so that LLVM optimizers...
large_corpus_distillation
"Darboux's theorem-Statement-Suppose that \u03b8 is a differential 1-form on an n -dimensional manifold, such that d\u03b8 has constant rank p . Then if \u03b8\u2227(d\u03b8)p=0 everywhere, then there is a local system of coordinates (x1,\u2026,xn\u2212p,y1,\u2026,yp) in which if \u03b8\u2227(d\u03b8)p\u22600 e...
large_corpus_distillation
"2\u20133\u20134 tree-Deletion-If the element is not in a leaf node, remember its location and continue searching until a leaf, which will contain the element's successor, is reached. The successor can be either the largest key that is smaller than the one to be removed, or the smallest key that is larger than the one ...
large_corpus_distillation
"Immediate mode GUI-Implementations-is less complex and easier to understand (in terms of fewer implicit assumptions per toolset API call). This usually also results in less functionality.\nis more elaborate to create and manage (typically needs more tool set API calls) if more than a simple widget tree, including layo...
large_corpus_distillation
"Vapnik\u2013Chervonenkis theory-Overview of VC theory in empirical processes-Consider a set of indicator functions IC={1C:C\u2208C} in L1(Q) for discrete empirical type of measure Q (or equivalently for any probability measure Q). It can then be shown that quite remarkably, for r\u22651 :N(\u03b5,IC,Lr(Q))\u2264KV(...
large_corpus_distillation
"Year 2000 problem-Programming solutions-Several very different approaches were used to solve the year 2000 problem in legacy systems. Several of them follow: Date expansion Two-digit years were expanded to include the century (becoming four-digit years) in programs, files, and databases. This was considered the \"pure...
large_corpus_distillation
"Addressing mode-Obsolete addressing modes-Thus, indirect jumps, or jumps through registers, were not supported in the instruction set. Instead, it could be instructed to add the contents of the current memory word to the next instruction. Adding a small value to the next instruction to be executed could, for example, ...
large_corpus_distillation
"Reciprocal pronoun-Variation in the realization of reciprocals-English each other versus one another The other reciprocal pronoun in English is one another. I can be treated exactly the same way as each other. The only difference between the two is the number of antecedent nouns it can encompass. Each other can be use...
large_corpus_distillation
"Morse code-Decoding software-Decoding software for Morse code ranges from software-defined wide-band radio receivers, coupled to the Reverse Beacon Network, which decodes signals and detects CQ messages on ham bands, to smartphone applications."
large_corpus_distillation
"Security engineering-Security engineering-Security engineering is the process of incorporating security controls into an information system so that the controls become an integral part of the system\u2019s operational capabilities. It is similar to other systems engineering activities in that its primary motivation is...
large_corpus_distillation
"Mersenne prime-Theorems about Mersenne numbers-All composite divisors of prime-exponent Mersenne numbers are strong pseudoprimes to the base 2.\nWith the exception of 1, a Mersenne number cannot be a perfect power. That is, and in accordance with Mih\u0103ilescu's theorem, the equation 2m \u2212 1 = nk has no solution...
large_corpus_distillation
the local error.\nAn extension of this idea is to choose dynamically between different methods of different orders (this is called a variable order method). Methods based on Richardson extrapolation, such as the Bulirsch\u2013Stoer algorithm, are often used to construct various methods of different orders.\nOther desir...
large_corpus_distillation
"Free-space bitmap-Free-space bitmap-Free-space bitmaps are one method used to track allocated sectors by some file systems. While the most simplistic design is highly inefficient, advanced or hybrid implementations of free-space bitmaps are used by some modern file systems."
large_corpus_distillation
"1,000,000,000-Selected 10-digit numbers (1,000,000,001\u20139,999,999,999)-7,737,809,375 = 955 7,777,777,777 = repdigit 7,778,742,049 = 49th Fibonacci number.\n7,795,000,000 = Estimated population of the Earth in 2020 according to Worldometers 7,862,958,391 = 32nd Wedderburn\u2013Etherington number.\n8,000,000,000 to ...
large_corpus_distillation
"Miller\u2013Rabin primality test-Deterministic variants-if n < 18,446,744,073,709,551,616 = 264, it is enough to test a = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37.Sorenson and Webster verify the above and calculate precise results for these larger than 64\u2010bit results: if n < 318,665,857,834,031,151,167,461,...
large_corpus_distillation
"Stemloc-Process-Parameter training Another feature of Stemloc is its ability to parameterize probabilistic models like stochastic context-free grammars from data. Stemloc utilizes the Inside-Outside algorithm and stochastic context-free grammars to maximize the likelihood of a training set. This is useful because the ...
large_corpus_distillation
"Order statistic-Probabilistic analysis-One way to understand this is that the unordered sample does have constant density equal to 1, and that there are n! different permutations of the sample corresponding to the same sequence of order statistics. This is related to the fact that 1/n! is the volume of the region 0<u...
large_corpus_distillation
"Student's t-test-Related statistical tests-In the presence of an outlier, the t-test is not robust. For example, for two independent samples when the data distributions are asymmetric (that is, the distributions are skewed) or the distributions have large tails, then the Wilcoxon rank-sum test (also known as the Mann\...
large_corpus_distillation
"Linear regression-Formulation-Care must be taken when interpreting regression results, as some of the regressors may not allow for marginal changes (such as dummy variables, or the intercept term), while others cannot be held fixed (recall the example from the introduction: it would be impossible to \"hold ti fixed\" ...
large_corpus_distillation
OSI Network Layer PDU. In which case, discarding all the following packets of that corrupted PDU sheds an unnecessary network load. However, it would be entirely unacceptable in traffic shaping for a packet that fails the conformance test to affect how long before conformance can next occur, i.e. if the act of testing ...
large_corpus_distillation
"Transversal (combinatorics)-Examples-Another instance of a partition-based transversal occurs when one considers the equivalence relation known as the (set-theoretic) kernel of a function, defined for a function f with domain X as the partition of the domain ker := {{y\u2208X\u2223f(x)=f(y)}\u2223x\u2208X} . which p...
large_corpus_distillation
"Explained variation-Criticism-As the fraction of \"explained variance\" equals the squared correlation coefficient R2 , it shares all the disadvantages of the latter: it reflects not only the quality of the regression, but also the distribution of the independent (conditioning) variables."
large_corpus_distillation
"Text annotation-Functions and applications-Educational applications Educational research in text annotation has examined the role that both private and shared text annotations can play in supporting learning goals and communication. Much educational research examines how students' private annotation of texts supports ...
large_corpus_distillation
"Data Encryption Standard-Description-The Feistel (F) function The F-function, depicted in Figure 2, operates on half a block (32 bits) at a time and consists of four stages: Expansion: the 32-bit half-block is expanded to 48 bits using the expansion permutation, denoted E in the diagram, by duplicating half of the bit...
large_corpus_distillation
"OS 2200-History-There are two priority fields on the @RUN statement. One is used to specify the backlog priority. There are 26 backlog priority levels (A \u2013 Z). The Exec has a configured maximum number of open batch runs. When that level is reached, jobs are then selected from the backlog queues in priority order....
large_corpus_distillation
"Bottom-up parsing-Bottom-up Versus Top-down-The bottom-up name comes from the concept of a parse tree, in which the most detailed parts are at the bottom of the upside-down tree, and larger structures composed from them are in successively higher layers, until at the top or \"root\" of the tree a single unit describes...
large_corpus_distillation
"Hard disk drive-Capacity-Formatting Data is stored on a hard drive in a series of logical blocks. Each block is delimited by markers identifying its start and end, error detecting and correcting information, and space between blocks to allow for minor timing variations. These blocks often contained 512 bytes of usable...
large_corpus_distillation
"Quadratic sieve-Example of basic sieve-For p=2 solve 124 15347 mod 2) to get the solution 15347 124 mod 2) Thus, starting at X=1 and incrementing by 2, each entry will be divisible by 2. Dividing each of those entries by 2 yields 29 139 529 391 1037 647 17191 ] Similarly for the remaining primes p in 17 23 29 } th...
large_corpus_distillation
"Analytical regularization-Method-Analytical regularization proceeds as follows. First, the boundary value problem is formulated as an integral equation. Written as an operator equation, this will take the form GX=Y with Y representing boundary conditions and inhomogeneities, X representing the field of interest, and...
large_corpus_distillation
inside the brackets requires\nno further simplification.\nAre there any exponents? Yes. Simplify exponents.\nIs there any multiplication or division? Yes.\nMultiply.\nIs there any addition of subtraction? Yes.\nAdd.\nAdd."
large_corpus_distillation
coach with higher cornering speed (R) and second class compartment (B), powered by electricity (e), with four axles (second 4), all of which are drive axles (first 4). (This classification cannot apply to any locomotive, as the combination of R and B is not possible with locomotives.) A 3/5: Standard gauge locomotive w...
large_corpus_distillation
"Cross-validation (statistics)-Types-As the number of random splits approaches infinity, the result of repeated random sub-sampling validation tends towards that of leave-p-out cross-validation.\nIn a stratified variant of this approach, the random samples are generated in such a way that the mean response value (i.e. ...
large_corpus_distillation
"Kernelization-Kernelizability and fixed-parameter tractability are equivalent-A problem is fixed-parameter tractable if and only if it is kernelizable and decidable.\nThat a kernelizable and decidable problem is fixed-parameter tractable can be seen from the definition above: First the kernelization algorithm, which r...
large_corpus_distillation
"Interlinear gloss-History-More modern 19th- and 20th-century approaches took to glossing vertically, aligning the same sort of word-by-word content in such a way that the metalanguage terms were placed vertically below the source language terms. In this style, the given example might be rendered thus (here English glo...
large_corpus_distillation
features1 would be treated in the classification method,\nit may be best not to include them. Here we assume that we have no prior knowledge of\nwhich features might be useful for solving the classification task and instead have to provide\nan automated solution. This is a type of model selection problem, where the mod...
large_corpus_distillation
"K-approximation of k-hitting set-The algorithm-For each set j in S is maintained a price, pj , which is initially 0. For an element a in T, let S(a) be the collection of sets from S containing a. During the algorithm the following invariant is kept \u2200a\u2208T:\u2211j\u2208S(a)pj\u2264W(a)."
large_corpus_distillation
"Greibach normal form-Greibach normal form-Every context-free grammar can be transformed into an equivalent grammar in Greibach normal form. Various constructions exist. Some do not permit the second form of rule and cannot transform context-free grammars that can generate the empty word. For one such construction the ...
large_corpus_distillation
"n\nY =\u2211X , n\u2208N (17.4.46)\nn i\ni=1\nY\nFrom the Introduction we know that is a martingale. A simple application of the maximal inequality gives the following result,\nwhich is known as Kolmogorov's inequality, named for Andrei Kolmogorov.\nn\u2208N U =max{|Y |:i\u2208N }\nFor , let n i n . Then\n1 1 n\nP(U \...
large_corpus_distillation
"Fibonacci prime-Fibonacci prime-A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime.\nThe first Fibonacci primes are (sequence A005478 in the OEIS): 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, ...."
large_corpus_distillation
"Advance-fee scam-Common elements-Anonymous communication Since the scammer's operations must be untraceable to avoid identification, and because the scammer is often impersonating someone else, any communication between the scammer and his victim must be done through channels that hide the scammer's true identity. The...
large_corpus_distillation
"Network motif-Motif discovery algorithms-Using a hierarchical structure called an expansion tree, the MODA algorithm is able to extract NMs of a given size systematically and similar to FPF that avoids enumerating unpromising sub-graphs; MODA takes into consideration potential queries (or candidate sub-graphs) that wo...
large_corpus_distillation
"While loop-Overview-Note that it is possible, and in some cases desirable, for the condition to always evaluate to true, creating an infinite loop. When such a loop is created intentionally, there is usually another control structure (such as a break statement) that controls termination of the loop.\nFor example: "
large_corpus_distillation
"Intelligent vehicle technologies-Wireless communications-Bluetooth detection Bluetooth is an accurate and inexpensive way to transmit position from a vehicle in motion. Bluetooth devices in passing vehicles are detected by sensing devices along the road. If these sensors are interconnected they are able to calculate t...
large_corpus_distillation
"Chondrite-Chondrite classification-A synthesis of the various classification schemes is provided in the table below."
large_corpus_distillation
"Control flow-Loops-Condition-controlled loops Most programming languages have constructions for repeating a loop until some condition changes. Some variations test the condition at the start of the loop; others test it at the end. If the test is at the start, the body may be skipped completely; if it is at the end, th...
large_corpus_distillation
"Web query-Characteristics-Most commercial web search engines do not disclose their search logs, so information about what users are searching for on the Web is difficult to come by. Nevertheless, research studies started to appear in 1998. A 2001 study, which analyzed the queries from the Excite search engine, showed ...
large_corpus_distillation
"Graph Query Language-Extending existing graph query languages-Querying with visual path patterns Cypher uses compact fixed- and variable-length patterns which combine visual representations of node and relationship (edge) topologies, with label existence and property value predicates. (These patterns are usually refer...
large_corpus_distillation