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"Gateaux derivative-Linearity and continuity-For example, consider the real-valued function F of two real variables defined by This is Gateaux differentiable at (0,0).\nwith its differential there being However this is continuous but not linear in the arguments (a,b).\nIn infinite dimensions, any discontinuous linea... | large_corpus_distillation |
"SMART Multicast-History and Milestones-SMART supports an MBONE like implementation multicast between sites through the use of dynamically allocated Multicast tunnels. SMART takes advantage of SIMPLE (Self Implementing Multicast Protocol Level Escalation) " | large_corpus_distillation |
proposal, uses Asynchronous ratcheting trees to efficiently improve upon security guarantees over Signal's Double Ratchet." | large_corpus_distillation |
obtained for the gradient with respect to w~Td :||\u25bdw~f(w~Td)||2\u2264(1\u2212\u03bcL)2Td\u03a62(\u03c1(w0)\u2212\u03c1\u2217)+2\u2212Ts\u03b6|bt(0)\u2212at(0)|\u03bc2 , such that the algorithm is guaranteed to converge linearly.\nAlthough the proof stands on the assumption of Gaussian input, it is also shown in e... | large_corpus_distillation |
"Simultaneous eating algorithm-Description-Each item is represented as a loaf of bread (or other food). Initially, each agent goes to their favourite item and starts eating it. It is possible that several agents eat the same item at the same time.\nWhenever an item is fully eaten, each of the agents who ate it goes to ... | large_corpus_distillation |
"Characteristic polynomial-Motivation-In linear algebra, eigenvalues and eigenvectors play a fundamental role, since, given a linear transformation, an eigenvector is a vector whose direction is not changed by the transformation, and the corresponding eigenvalue is the measure of the resulting change of magnitude of th... | large_corpus_distillation |
reasoned, semantic functions are easier to access during comprehension of an L2 and therefore dominate the process: if these are ambiguous, understanding of syntactic information is not facilitated. These suppositions would help explain the results of Scherag et al.'s (2004) study." | large_corpus_distillation |
"Speech processing-Techniques-Hidden Markov models A hidden Markov model can be represented as the simplest dynamic Bayesian network. The goal of the algorithm is to estimate a hidden variable x(t) given a list of observations y(t). By applying the Markov property, the conditional probability distribution of the hidden... | large_corpus_distillation |
"Complexity class-Properties of complexity classes-Each class X that is not closed under negation has a complement class co-X, which consists of the complements of the languages contained in X (i.e. co-X= {L|L\u00af\u2208 X } ). co-NP, for instance, is one important complement complexity class, and sits at the center ... | large_corpus_distillation |
"Quadratic programming-Lagrangian duality-The Lagrangian dual of a QP is also a QP. To see this let us focus on the case where c = 0 and Q is positive definite. We write the Lagrangian function as L(x,\u03bb)=12x\u22a4Qx+\u03bb\u22a4(Ax\u2212b).\nDefining the (Lagrangian) dual function g(\u03bb) as inf xL(x,\u03bb) ,... | large_corpus_distillation |
"Push technology-Examples-With long polling, the client requests information from the server exactly as in normal polling, but with the expectation the server may not respond immediately. If the server has no new information for the client when the poll is received, instead of sending an empty response, the server hold... | large_corpus_distillation |
"Shellcode-Shellcode encoding-Alphanumeric and printable shellcode An alphanumeric shellcode is a shellcode that consists of or assembles itself on execution into entirely alphanumeric ASCII or Unicode characters such as 0\u20139, A-Z and a-z. This type of encoding was created by hackers to hide working machine code in... | large_corpus_distillation |
"File sequence-File scattering-File contiguity is, in most practical applications, \"invisible\" at operating-system or user levels, since all the files in a sequence are always available to applications in the same way, regardless of their physical location on the storage device (due to operating systems hiding the fi... | large_corpus_distillation |
"Bayes error rate-Error determination-In terms of machine learning and pattern classification, the labels of a set of random observations can be divided into 2 or more classes. Each observation is called an instance and the class it belongs to is the label.\nThe Bayes error rate of the data distribution is the probabil... | large_corpus_distillation |
"Distributed algorithmic mechanism design-Classic distributed computing problems-Each agent i then computes \u03a3ni=1 Ni (mod n), and then takes the agent with the Nth highest id in the set to be the leader. (If some agent j does not send i a random number, then i sets its output to Null.)This protocol correctly elect... | large_corpus_distillation |
"Quantum nonlocality-Device independent protocols-Device-independent randomness certification, expansion and amplification Nonlocality can be used to certify that the outcomes of one of the parties in a Bell experiment are partially unknown to an external adversary. By feeding a partially random seed to several non-loc... | large_corpus_distillation |
"Synthetic language-Types of synthetic languages-Swahili is an agglutinating language. For example, distinct morphemes are used in the conjugation of verbs: Ni-na-soma: I-present-read or I am reading U-na-soma: you-present-read or you are reading A-na-soma: s/he-present-read or s/he is reading Fusional languages In fus... | large_corpus_distillation |
"Convolutional sparse coding-Sparse coding paradigm-Theorem 1: (Uniqueness of sparse representations) Consider signal x {\\textstyle \\mathbf {x} } satisfies the (ML-CSC) model for a set of convolutional dictionaries { D i } i = 1 K {\\textstyle \\{\\mathbf {D} _{i}\\}_{i=1}^{K}} with mutual coherence { \u03bc ( D i... | large_corpus_distillation |
"Dancing Links-Implementation-At all times, each node in the matrix will point to the adjacent nodes to the left and right (1's in the same row), above and below (1's in the same column), and the header for its column (described below). Each row and column in the matrix will consist of a circular doubly-linked list of ... | large_corpus_distillation |
than by their actual values. The search for the minimum priority element should always begin at the previous minimum, to avoid priorities that are higher than the minimum but have lower moduli. In particular, this idea can be applied in Dijkstra's algorithm on graphs whose edge lengths are integers in the range from 1 ... | large_corpus_distillation |
"Python syntax and semantics-Literals-Sets (class set) are mutable containers of hashable items of arbitrary types, with no duplicates. The items are not ordered, but sets support iteration over the items. The syntax for set creation uses curly brackets Python sets are very much like mathematical sets, and support oper... | large_corpus_distillation |
"Trace cache-Necessity-Consider these four basic blocks (A, B, C, D) as shown in the figure that correspond to a simple if-else loop. These blocks will be stored contiguously as ABCD in the memory. If the branch D is predicted not-taken, the fetch unit can fetch the basic blocks A, B, C which are placed contiguously. H... | large_corpus_distillation |
"Viola\u2013Jones object detection framework-Components of the framework-A full presentation of the algorithm is in.Consider an image I(x,y) of fixed resolution (M,N) . Our task is to make a binary decision: whether it is a photo of a standardized face (frontal, well-lit, etc) or not.\nViola\u2013Jones is essentially... | large_corpus_distillation |
"Ground truth-Military usage-US military slang uses \"ground truth\" to refer to the facts comprising a tactical situation\u2014as opposed to intelligence reports, mission plans, and other descriptions reflecting the conative or policy-based projections of the industrial\u00b7military complex. The term appears in the t... | large_corpus_distillation |
"Exact coloring-Exact coloring-In graph theory, an exact coloring is a (proper) vertex coloring in which every pair of colors appears on exactly one pair of adjacent vertices.\nThat is, it is a partition of the vertices of the graph into disjoint independent sets such that, for each pair of distinct independent sets in... | large_corpus_distillation |
"Random number generation-Other considerations-Whitening The outputs of multiple independent RNGs can be combined (for example, using a bit-wise XOR operation) to provide a combined RNG at least as good as the best RNG used. This is referred to as software whitening.\nComputational and hardware random number generators... | large_corpus_distillation |
"Automatic summarization-Applications and systems for summarization-In short, the co-occurrence graph will contain densely connected regions for terms that appear often and in different contexts. A random walk on this graph will have a stationary distribution that assigns large probabilities to the terms in the centers... | large_corpus_distillation |
shape parameter +, location parameter , and scale parameter\nc\u2208(0,\u221e)\n.\nX\nThe mean and variance of are\nE(X)=\u03bc\n1.\nvar(X)=c22k+1\n2.\n2k+3\nProof\nX=\u03bc+cZ Z\nThese results follow from the representation where has the standard U-power distribution with shape\nk Z\nparameter , and from the mean and ... | large_corpus_distillation |
"Additive function-Multiplicative functions-From any additive function f(n) it is possible to create a related multiplicative function g(n), which is a function with the property that whenever a and b are coprime then: One such example is g(n)=2f(n)." | large_corpus_distillation |
(17.5.2)\n\u221e b\u2212a\nP[U (a,b)<\u221e]=1 U (a,b)<\u221e a, b\u2208Q a<b\nHence \u221e . Therefore with probability 1, \u221e for every with . By our\nX\ncharacterization of convergence in terms of up-crossings, it follows that there exists a random variable \u221e with values in\nR\u2217=R\u222a{\u2212\u221e,\u22... | large_corpus_distillation |
"Passenger compartment-Passenger compartment-Passenger compartment or passenger cabin may refer to any of these areas designated for passengers in vehicles: In automobile passenger cars, the area of the vehicle physically separated from the engine compartment, trunk or boot, etc., usually including the driver In limous... | large_corpus_distillation |
"Critical Path Institute-Critical Path Institute-Critical Path Institute (C-Path) is a non-profit organization created to improve the drug development process; its consortia include more than 1,600 scientists from government regulatory and research agencies, academia, patient organizations, and bio-pharmaceutical compa... | large_corpus_distillation |
equivalent to consuming 30 gigawatts of power for one year. This is equal to 30\u00d7109 W\u00d7365\u00d724\u00d73600 s = 9.46\u00d71017 J or 262.7 TWh (about 0.1% of the yearly world energy production). The full actual computation \u2013 checking each key to see if a solution has been found \u2013 would consume many t... | large_corpus_distillation |
"Zero-sum game-Solution-If the game matrix does not have all positive elements, add a constant to every element that is large enough to make them all positive. That will increase the value of the game by that constant, and will not affect the equilibrium mixed strategies for the equilibrium.\nThe equilibrium mixed stra... | large_corpus_distillation |
"Lai\u2013Massey scheme-Lai\u2013Massey scheme-The Lai\u2013Massey scheme is a cryptographic structure used in the design of block ciphers. It is used in IDEA and IDEA NXT. The scheme was originally introduced by Xuejia Lai with the assistance of James L. Massey, hence the scheme's name, Lai-Massey." | large_corpus_distillation |
"Lewis's triviality result-Lewis's result-Lewis's proof is as follows. Let a set of events be non-trivial if it contains two possible events, A and B , that are mutually exclusive but do not together exhaust all possibilities, so that P(A)>0 , P(B)>0 , P(A\u2229B)=0 , and P(A\u222aB)<1 . The existence of two such... | large_corpus_distillation |
x =2\n0\n444. Minimum of f(x)= x 2 sinx, closest non-zero\nminimum to x=0 459. f(x)= x 3 +2x+4, x =0\n0\n445. Minimum of f(x)= x 4 +x 3 +3x 2 +12x+6 In the following exercises, consider Kepler\u2019s equation\nregardingplanetaryorbits, M =E\u2212\u03b5sin(E), where M\nFor the following exercises, use the specified meth... | large_corpus_distillation |
"Lucas's theorem-Variations and generalizations-Kummer's theorem asserts that the largest integer k such that pk divides the binomial coefficient (mn) (or in other words, the valuation of the binomial coefficient with respect to the prime p) is equal to the number of carries that occur when n and m \u2212 n are added ... | large_corpus_distillation |
"Sch\u00f6nhage\u2013Strassen algorithm-Sch\u00f6nhage\u2013Strassen algorithm-The Sch\u00f6nhage\u2013Strassen algorithm was the asymptotically fastest multiplication method known from 1971 until 2007. It is asymptotically faster than older methods such as Karatsuba and Toom\u2013Cook multiplication, and starts to out... | large_corpus_distillation |
"Connected space-Formal definition-For a topological space X the following conditions are equivalent: X is connected, that is, it cannot be divided into two disjoint non-empty open sets.\nThe only subsets of X which are both open and closed (clopen sets) are X and the empty set.\nThe only subsets of X with empty bo... | large_corpus_distillation |
"Password Authenticated Key Exchange by Juggling-Security properties-Given that the underlying Schnorr non-interactive zero-knowledge proof is secure, the J-PAKE protocol is proved to satisfy the following properties: Off-line dictionary attack resistance - It does not leak any password verification information to a pa... | large_corpus_distillation |
"Exact coloring-Complete graphs, detachments, and Euler tours-Every graph with an n-color exact coloring may be obtained as a detachment of a complete graph, a graph obtained from the complete graph by splitting each vertex into an independent set and reconnecting each edge incident to the vertex to exactly one of the ... | large_corpus_distillation |
"SourceMeter-Features-60+ source code metrics (complexity, coupling, cohesion, inheritance, etc.), on different levels (package, namespace, class, method, etc.) Type-2 duplications regarding syntax boundaries Code duplication metrics (stability, embeddedness, dispersion, etc.) Detecting inconsistent changes of duplicat... | large_corpus_distillation |
HELO identity the result NONE would not help, but for valid host names SPF also protects the HELO identity. This SPF feature was always supported as an option for receivers, and later SPF drafts including the final specification recommend to check the HELO always.\nThis allows receivers to allowlist sending mailers bas... | large_corpus_distillation |
"Computer file-Identifying and organizing-Files (or links to files) can be located in directories. However, more generally, a directory can contain either a list of files or a list of links to files. Within this definition, it is of paramount importance that the term \"file\" includes directories. This permits the exis... | large_corpus_distillation |
"Karger's algorithm-Contraction algorithm-Success probability of the contraction algorithm In a graph G=(V,E) with n=|V| vertices, the contraction algorithm returns a minimum cut with polynomially small probability (n2)\u22121 . Recall that every graph has 2n\u22121\u22121 cuts (by the discussion in the previous se... | large_corpus_distillation |
"Distributed source coding-Practical distributed source coding-In this example, we can use the (7,4,3) binary Hamming Code C , with parity check matrix H . For an input x from source X , only the syndrome given by s=Hx is transmitted, which is 3 bits. With received y and s , suppose there are two inputs x1 and... | large_corpus_distillation |
"Prism (chipset)-Legacy 802.11b products (Prism 2/2.5/3)-The open-source HostAP driver supports the IEEE 802.11b Prism 2/2.5/3 family of chips.\nWireless adaptors which use the Prism chipset are known for compatibility, and are preferred for specialist applications such as packet capture.\nNo win64 drivers are known to... | large_corpus_distillation |
"ICE (cipher)-Structure-ICE is a 16-round Feistel network. Each round uses a 32\u219232 bit F function, which uses 60 bits of key material.\nThe structure of the F function is somewhat similar to DES: The input is expanded by taking overlapping fields, the expanded input is XORed with a key, and the result is fed to a ... | large_corpus_distillation |
"Secure voice-Digital-This has led to the use of Voice Coders (vocoders) to achieve tight bandwidth compression of the speech signals. NSA's STU-III, KY-57 and SCIP are examples of systems that operate over existing voice circuits. The STE system, by contrast, requires wide bandwidth ISDN lines for its normal mode of o... | large_corpus_distillation |
"Symbolic method (combinatorics)-The Flajolet\u2013Sedgewick fundamental theorem-The unlabelled case is done using the function M(f(z),y)=\u2211n\u22650ynZ(Sn)(f(z),f(z2),\u2026,f(zn)) so that M(f(z))=M(f(z),1).\nEvaluating M(f(z),1) we obtain exp \u2061(\u2211\u2113\u22651f(z\u2113)\u2113).\nFor the labelled case we ... | large_corpus_distillation |
"CLAWS (linguistics)-CLAWS (linguistics)-The Constituent Likelihood Automatic Word-tagging System (CLAWS) is a program that performs part-of-speech tagging. It was developed in the 1980s at Lancaster University by the University Centre for Computer Corpus Research on Language. It has an overall accuracy rate of 96-97% ... | large_corpus_distillation |
"JavaFX-History-Support for high performance lazy binding, binding expressions, bound sequence expressions, and partial bind re-evaluation.\nDropping support for JavaFX Mobile.\nOracle announcing its intent to open-source JavaFX." | large_corpus_distillation |
"Transformer (machine learning model)-Architecture-By taking a linear sum, any convolution can also be implemented as linear transformations:for any constants cj . This allows the transformer to take any encoded position and find a linear sum of the encoded locations of its neighbors. This sum of encoded positions, wh... | large_corpus_distillation |
"Database security-Database security-Database security concerns the use of a broad range of information security controls to protect databases (potentially including the data, the database applications or stored functions, the database systems, the database servers and the associated network links) against compromises ... | large_corpus_distillation |
then the probability of getting our sample is: f(1,1,1,0,1) = f(1)f(1)f(1)f(0)f(1) = 0.1\u00d70.1\u00d70.1\u00d70.9\u00d70.1 = 0.00009 We can compute the probability of obtaining our sample over a range of \u03b3 \u2013 this is our likelihood function. The likelihood function for n independent observations in a logit m... | large_corpus_distillation |
"Commutator-Ring theory-Identities (ring theory) The commutator has the following properties: Lie-algebra identities [A+B,C]=[A,C]+[B,C] [A,A]=0 [A,B]=\u2212[B,A] [A,[B,C]]+[B,[C,A]]+[C,[A,B]]=0 Relation (3) is called anticommutativity, while (4) is the Jacobi identity." | large_corpus_distillation |
"Failure assessment-Example of FMEA worksheet-Incorrect. An erroneous indication to an operator due to the malfunction or failure of an indicator (i.e., instruments, sensing devices, visual or audible warning devices, etc.).PERFORM DETECTION COVERAGE ANALYSIS FOR TEST PROCESSES AND MONITORING (From ARP4761 Standard): T... | large_corpus_distillation |
"STM8-Instruction set-STM8 instructions consist of an optional prefix byte (7216, 9016, 9116, or 9216), an opcode byte, and a few (up to four, but rarely more than two) bytes of operands. Prefix bytes mostly modify the addressing mode used to specify the memory operand, but in some cases, prefixes 72 and 90 perform a d... | large_corpus_distillation |
"Answer\nf(p,x)=6(3)px+1(1\u2212p)4\u2212x p\u2208[0,1] x\u2208{0,1,2,3,4}\n1. x for and\nh(0)=h(3)= 1 h(1)=h(2)= 3\n2. , .\n5 10\ng(p\u22230)=30p(1\u2212p)4 g(p\u22231)=60p2(1\u2212p)3 g(p\u22232)=60p3(1\u2212p)2 g(p\u22233)=30p4(1\u2212p) p\u2208[0,1]\n3. , , , , in each case for\nCompare the box of coins experiment ... | large_corpus_distillation |
"Rotation distance-Definition-There are two variations of this operation, a right rotation in which y begins as the left child of x and x ends as the right child of y, and a left rotation in which y begins as the right child of x and x ends as the left child of y.Any two trees that have the same left-to-right sequence ... | large_corpus_distillation |
"Timed event system-Behaviors and Languages of Timed Event System-Given a timed event system =< Z,Q,Q0,QA,\u0394> , the set of its behaviors is called its language depending on the observation time length. Let t be the observation time length." | large_corpus_distillation |
be constructed from the standard variable. The following result is a simple\ngeneralization of the connection between the basic Weibull distribution and the exponential distribution.\nk, b\u2208(0,\u221e)\nSuppose that .\nX Y =bX1/k\n1. If has the standard exponential distribution (parameter 1), then has the Weibull di... | large_corpus_distillation |
"Parity game-Recursive algorithm for solving parity games-Zielonka's algorithm is based on the notation of attractors. Let U\u2286V be a set of nodes and i=0,1 be a player. The i-attractor of U is the least set of nodes Attri(U) containing U such that i can force a visit to U from every node in Attri(U) . It can be... | large_corpus_distillation |
"Chomsky normal form-Converting a grammar to Chomsky normal form-This does not change the grammar's produced language.:\u200a92 BIN: Eliminate right-hand sides with more than 2 nonterminals Replace each rule A \u2192 X1 X2 ... Xnwith more than 2 nonterminals X1,...,Xn by rules A \u2192 X1 A1, A1 \u2192 X2 A2, ... , A... | large_corpus_distillation |
"Forth (programming language)-Facilities-Multitasking, most commonly cooperative round-robin scheduling, is normally available (although multitasking words and support are not covered by the ANSI Forth Standard). The word PAUSE is used to save the current task's execution context, to locate the next task, and restore i... | large_corpus_distillation |
"Mereotopology-Preferred approach of Casati & Varzi-Let parthood be the defining primitive binary relation of the underlying mereology, and let the atomic formula Pxy denote that \"x is part of y\". We assume that P is a partial order. Call the resulting minimalist mereological theory M.\nIf x is part of y, we postulat... | large_corpus_distillation |
"Transformational grammar-Core concepts-The use of such intuitive judgments permitted generative syntacticians to base their research on a methodology in which studying language through a corpus of observed speech became downplayed since the grammatical properties of constructed sentences were considered appropriate da... | large_corpus_distillation |
"False equivalence-Examples-\"They are both Felidae, mammals in the order Carnivora, therefore there's little difference between having a pet cat and a pet jaguar.\" The \"false equivalence\" is in an oversimplification of the factors that make an animal a suitable pet." | large_corpus_distillation |
"Primitive data type-Common primitive data types-Many languages (e.g. Java, Pascal and Ada) implement booleans adhering to the concept of boolean as a distinct logical type. Some languages, though, may implicitly convert booleans to numeric types at times to give extended semantics to booleans and boolean expressions o... | large_corpus_distillation |
Example 1.7.31\n1\nEvaluate x+ when\n3\n1\n1. x=\u2212\n3\n1.7.10 https://math.libretexts.org/@go/page/15122" | large_corpus_distillation |
"Experimental uncertainty analysis-Table of selected uncertainty equations-Type I bias, absolute.........................................................................Eq(2.1) \u0394z\u2248abeb\u03bc\u0394x Type I bias, relative (fractional).........................................................Eq(2.2) \u0394zz\u224... | large_corpus_distillation |
"Reciprocity (network science)-Reciprocity (network science)-In network science, reciprocity is a measure of the likelihood of vertices in a directed network to be mutually linked. Like the clustering coefficient, scale-free degree distribution, or community structure, reciprocity is a quantitative measure used to stud... | large_corpus_distillation |
"Variety of finite semigroups-Definition-Two equivalent definitions are now given.\nAlgebraic definition A variety V of finite (ordered) semigroups is a class of finite (ordered) semigroups that: is closed under division.\nis closed under taking finite Cartesian products.The first condition is equivalent to stating tha... | large_corpus_distillation |
"Semidefinite programming-Motivation and definition-Initial motivation A linear programming problem is one in which we wish to maximize or minimize a linear objective function of real variables over a polytope. In semidefinite programming, we instead use real-valued vectors and are allowed to take the dot product of ve... | large_corpus_distillation |
"Type inference-Types in programming languages-Frequently, however, degenerate type-inference algorithms are used that cannot backtrack and instead generate an error message in such a situation. This behavior may be preferable as type inference may not always be neutral algorithmically, as illustrated by the prior floa... | large_corpus_distillation |
1 with a probability as above. The probability of all of them being 1, which would cause the algorithm to erroneously claim that the element is in the set, is often given as \u03b5=(1\u2212[1\u22121m]kn)k\u2248(1\u2212e\u2212kn/m)k.\nThis is not strictly correct as it assumes independence for the probabilities of each ... | large_corpus_distillation |
"Guard tour patrol system-System composition-In software, we set up the Patrol Department, Patrol Route, Guard, Checkpoint, Event and Patrol Plan in general, depending on the software purchased. The software will then have specific tours set for officers to complete, being able to indicate whether the inspection was co... | large_corpus_distillation |
"Disk encryption theory-Problem definition-These three properties do not provide any assurance of disk integrity; that is, they don't tell you whether an adversary has been modifying your ciphertext. In part, this is because an absolute assurance of disk integrity is impossible: no matter what, an adversary could alway... | large_corpus_distillation |
the advantages (see above) can lead to problems. For example, the simplicity in tagging can result in poorly applied tags. Further, while controlled vocabularies are exclusionary by nature, tags are often ambiguous and overly personalized. Users apply tags to documents in many different ways and tagging systems also of... | large_corpus_distillation |
"Public-key cryptography-Weaknesses-For example, the certificate authority issuing the certificate must be trusted by all participating parties to have properly checked the identity of the key-holder, to have ensured the correctness of the public key when it issues a certificate, to be secure from computer piracy, and ... | large_corpus_distillation |
"Semantic holism-Holism and compositionality-There is also a second relation P, which applies to two expressions just in case the first is part of the second. So, (\"brown, \"brown cow\") belongs to the extension of P. Two more relations, \"Left\" and \"Right\", are required: L(\u03b1,\u03b2,\u03b3)\u2194P(\u03b1,\u03b... | large_corpus_distillation |
trees rooted at the three vertices of the exterior face." | large_corpus_distillation |
"German conjugation-German conjugation-German verbs are conjugated depending on their use: as in English, they are modified depending on the persons (identity) and number of the subject of a sentence, as well as depending on the tense and mood." | large_corpus_distillation |
"Dotted note-Notation-If the note to be dotted is on a space, the dot also goes on the space, while if the note is on a line, the dot goes on the space above (this also goes for notes on ledger lines).\nThe placement of dots gets more complicated for adjacent-note chords and for lower voices, as shown below.\nThe dots ... | large_corpus_distillation |
"Identical particles-Quantum mechanical description-Clearly, P2=1 (the identity operator), so the eigenvalues of P are +1 and \u22121. The corresponding eigenvectors are the symmetric and antisymmetric states: P|n1,n2;S\u27e9=+|n1,n2;S\u27e9 P|n1,n2;A\u27e9=\u2212|n1,n2;A\u27e9 In other words, symmetric and antisymmet... | large_corpus_distillation |
"Remote Differential Compression-Remote Differential Compression-Since comparing large files could imply making large numbers of signature comparisons, the algorithm is recursively applied to the hash sets to detect which blocks of hashes have changed or moved around, significantly reducing the amount of data that need... | large_corpus_distillation |
"Secret sharing-Trivial secret sharing-When space efficiency is not a concern, trivial t = n schemes can be used to reveal a secret to any desired subsets of the players simply by applying the scheme for each subset. For example, to reveal a secret s to any two of the three players Alice, Bob and Carol, create three ( ... | large_corpus_distillation |
"MacPaint-MacPaint-MacPaint is a raster graphics editor developed by Apple Computer and released with the original Macintosh personal computer on January 24, 1984. It was sold separately for US$195 with its word processing counterpart, MacWrite. MacPaint was notable because it could generate graphics that could be used... | large_corpus_distillation |
"Proof by contradiction-Proof by contradiction-In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction.\nAlthough it is quite freely used in mathematical proofs, not every school of mat... | large_corpus_distillation |
added in the new version, certainly nothing that automatically renders the first edition obsolete. Owners of the first edition can safely skip the second and spend their money elsewhere, perhaps on a copy of the GURPS Psionics game.\"GURPS Horror, Fourth Edition won the 2012 Silver Ennie Award for \"Best Supplement\" a... | large_corpus_distillation |
"Duck typing-Example-This simple example in Python 3 demonstrates how any object may be used in any context until it is used in a way that it does not support.\nOutput: If it can be assumed that anything that can swim is a duck because ducks can swim, a whale could be considered a duck; however, if it is also assumed t... | large_corpus_distillation |
"Problem book-Problem book-Problem books are textbooks, usually at advanced undergraduate or post-graduate level, in which the material is organized as a series of problems, each with a complete solution given. Problem books are distinct from workbooks in that the problems are designed as a primary means of teaching, n... | large_corpus_distillation |
"Object Process Methodology-Syntax and semantics-Event links Triggering a process initiates an attempt to execute the process, but it does not guarantee success of this attempt. The triggering event forces an evaluation of the process' precondition for satisfaction, which, if and only if satisfied, allows process execu... | large_corpus_distillation |
"Anagrams (game)-Variations-National Scrabble Association The National Scrabble Association has published a set of rules for competitive Anagrams play in tournament setting. On a player's turn, after revealing a tile, they have a ten-second window during which only they can call a word. If a player calls a word on thei... | large_corpus_distillation |
"Data modeling-Topics-Therefore, the need to define data from a conceptual view has led to the development of semantic data modeling techniques. That is, techniques to define the meaning of data within the context of its interrelationships with other data. As illustrated in the figure the real world, in terms of resour... | large_corpus_distillation |
clusters, this will significantly damage the social networks on the original game." | large_corpus_distillation |
"ABO blood group system-Genetics-Subgroups The A blood type contains about 20 subgroups, of which A1 and A2 are the most common (over 99%). A1 makes up about 80% of all A-type blood, with A2 making up almost all of the rest. These two subgroups are not always interchangeable as far as transfusion is concerned, as some ... | large_corpus_distillation |
implication process; the andMethod and orMethod attribute define, respectively, the and and or algorithm to use by default. In order to define the single rule the <Rule> tag is used. The attributes used by the <Rule> tag are: name, connector, operator and weight. The name attribute permits to identify the rule; connect... | large_corpus_distillation |
"Initialization vector-Motivation-To hide patterns in encrypted data while avoiding the re-issuing of a new key after each block cipher invocation, a method is needed to randomize the input data. In 1980, the NIST published a national standard document designated Federal Information Processing Standard (FIPS) PUB 81, w... | large_corpus_distillation |
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