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"Minimal instruction set computer-Design weaknesses-The disadvantage of a MISC is that instructions tend to have more sequential dependencies, reducing overall instruction-level parallelism.\nMISC architectures have much in common with some features of some programming languages such as Forth's use of the stack, and th... | large_corpus_distillation |
"Side-channel attack-Examples-Historical analogues to modern side-channel attacks are known. A recently declassified NSA document reveals that as far back as 1943, an engineer with Bell telephone observed decipherable spikes on an oscilloscope associated with the decrypted output of a certain encrypting teletype. Accor... | large_corpus_distillation |
"Bloom filter-Probability of false positives-The true probability of a false positive, without assuming independence, is 1mk(n+1)\u2211i=1miki!(mi){kni} where the {braces} denote Stirling numbers of the second kind.An alternative analysis arriving at the same approximation without the assumption of independence is give... | large_corpus_distillation |
is created based on a hidden internal state that changes as the cipher operates. That internal state is initially set up using the secret key material. RC4 is a widely used stream cipher. Block ciphers can be used as stream ciphers by generating blocks of a keystream (in place of a Pseudorandom number generator) and ap... | large_corpus_distillation |
"Lov\u00e1sz conjecture-General groups-The Lov\u00e1sz conjecture was also established for random generating sets of size log 5\u2061|G|) " | large_corpus_distillation |
combinatorial techniques, resolving the original conjecture in full." | large_corpus_distillation |
can be also represented by a tree of 3/2 or 4/2 adders.\nIt is sometimes combined with Booth encoding." | large_corpus_distillation |
"Publishing-Recent developments-An increasing number of authors are using niche marketing online to sell more books by engaging with their readers online." | large_corpus_distillation |
"Tr\u00e9maux tree-In finite graphs-Related properties If a graph has a Hamiltonian path, then that path (rooted at one of its endpoints) is also a Tr\u00e9maux tree. The undirected graphs for which every Tr\u00e9maux tree has this form are the cycle graphs, complete graphs, and balanced complete bipartite graphs.Tr\u0... | large_corpus_distillation |
M of ? Since the\n9 N\u22121=8df 10.8.1 8df 0.95\nsample size is , there are . From Table you can see that with the probability is that the mean will be\n2.306s \u03bc 1.96s \u03bc 0.95\nwithin M of . The probability that it will be within M of is therefore lower than .\n10.8.2 t 0.086 t\nAs shown in Figure , the \" di... | large_corpus_distillation |
as expressed in terms of the reliability function Fc , still holds for these degenerate cases on (0,\u221e):\nFc(s)Fc(t)=Fc(s+t), s,t\u2208(0,\u221e) (14.2.30)\nWe also need to extend some of results above for a finite number of variables to a countably infinite number of variables. So for the remainder of this discuss... | large_corpus_distillation |
"Drop arm test-Results-A positive test is found if the patient cannot perform this motion of adducting the arm back to the body controllably or if the patient experiences pain while performing this test." | large_corpus_distillation |
has been bootstrapped. This attack dates to Karger & Schell (1974), and was popularized in Thompson's 1984 article, entitled \"Reflections on Trusting Trust\"; it is hence colloquially known as the \"Trusting Trust\" attack. See compiler backdoors, below, for details. Analogous attacks can target lower levels of the sy... | large_corpus_distillation |
"Filter (set theory)-Set theoretic properties and constructions-If \u220fB\u2219 is a filter subbase then the filter on \u220fX\u2219 that it generates is called the filter generated by B\u2219 . If every Bi is a prefilter on Xi then \u220fB\u2219 will be a prefilter on \u220fX\u2219 and moreover, this prefilte... | large_corpus_distillation |
"Interpretation (logic)-First-order logic-This leaves the issue of how to interpret formulas of the form \u2200 x \u03c6(x) and \u2203 x \u03c6(x). The domain of discourse forms the range for these quantifiers. The idea is that the sentence \u2200 x \u03c6(x) is true under an interpretation exactly when every substitut... | large_corpus_distillation |
"Text simplification-Example-Also contributing to the firmness in copper, the analyst noted, was a report by Chicago purchasing agents. The Chicago report precedes the full purchasing agents report. The Chicago report gives an indication of what the full report might hold. The full report is due out today.One approach ... | large_corpus_distillation |
"Lexicographic order-Group orders of Zn-Let Zn be the free Abelian group of rank n, whose elements are sequences of n integers, and operation is the addition. A group order on Zn is a total order, which is compatible with addition, that is The lexicographical ordering is a group order on Zn.\nThe lexicographical ... | large_corpus_distillation |
"Gap penalty-Gap penalty-A Gap penalty is a method of scoring alignments of two or more sequences. When aligning sequences, introducing gaps in the sequences can allow an alignment algorithm to match more terms than a gap-less alignment can. However, minimizing gaps in an alignment is important to create a useful align... | large_corpus_distillation |
"Treemapping-Tiling algorithms-Onak and Sidiropoulos proved an upper bound of log 17 ) De-Berg and Onak and Sidiropoulos improve the upper bound to log \u2061n) , and prove a lower bound of O(d) De-Berg and Speckmann and van-der-Weele improve the upper bound to O(d) , matching the theoretical lower bound. (For the ... | large_corpus_distillation |
"Derivative-In higher dimensions-The existence of the total derivative f\u2032(a) is strictly stronger than the existence of all the partial derivatives, but if the partial derivatives exist and are continuous, then the total derivative exists, is given by the Jacobian, and depends continuously on a." | large_corpus_distillation |
no broadcast support.\nIP 192.0.2.1 > 192.0.2.2: OSPFv2, hello IP 192.0.2.2 > 192.0.2.1: OSPFv2, hello IP 192.0.2.1 > 192.0.2.2: OSPFv2, database description IP 192.0.2.2 > 192.0.2.1: OSPFv2, database description Types of Non-broadcast networks: X.25 Public data network Wireguard Serial interface Requires all routers t... | large_corpus_distillation |
"X.509-Certificates-Key Usage, { id-ce 15 }, provides a bitmap specifying the cryptographic operations which may be performed using the public key contained in the certificate; for example, it could indicate that the key should be used for signatures but not for encipherment." | large_corpus_distillation |
"Generative adversarial network-History-In 1991, Juergen Schmidhuber published generative and adversarial neural networks that contest with each other in the form of a zero-sum game, where one network's gain is the other network's loss. The first network is a generative model with stochasticity that models a probabilit... | large_corpus_distillation |
"Matching polytope-Perfect matching polytope-The perfect matching polytope of a graph G, denoted PMP(G), is a polytope whose corners are the incidence vectors of the integral perfect matchings in G.:\u200a274\u200a Obviously, PMP(G) is contained in MP(G); In fact, PMP(G) is the face of MP(G) determined by the equality:... | large_corpus_distillation |
"Huffman coding-Basic technique-In many cases, time complexity is not very important in the choice of algorithm here, since n here is the number of symbols in the alphabet, which is typically a very small number (compared to the length of the message to be encoded); whereas complexity analysis concerns the behavior whe... | large_corpus_distillation |
"Type family-Variations-The TypeFamilies extension in the Glasgow Haskell Compiler supports both type synonym families and data families. Type synonym families are the more flexible (but harder to type-check) form, permitting the types in the codomain of the type function to be any type whatsoever with the appropriate ... | large_corpus_distillation |
"Word embedding-Polysemy and homonymy-Historically, one of the main limitations of static word embeddings or word vector space models is that words with multiple meanings are conflated into a single representation (a single vector in the semantic space). In other words, polysemy and homonymy are not handled properly. F... | large_corpus_distillation |
"Wald's equation-General version-Let (Xn)n\u2208 N be an infinite sequence of real-valued random variables and let N be a nonnegative integer-valued random variable. Assume that: 1. (Xn)n\u2208 N are all integrable (finite-mean) random variables, 2. E[Xn1{N \u2265 n}] = E[Xn] P(N \u2265 n) for every natural number n, ... | large_corpus_distillation |
of n because there are n+1 external paths, representing the intervals between and outside the elements of the array.This problem can similarly be reduced to determining the minimum external path length of all binary trees with n nodes. For all binary trees, the external path length is equal to the internal path leng... | large_corpus_distillation |
"Degree of a continuous mapping-Definitions of the degree-Maps from closed region If \u03a9\u2282Rn is a bounded region, f:\u03a9\u00af\u2192Rn smooth, p a regular value of f and p\u2209f(\u2202\u03a9) , then the degree deg \u2061(f,\u03a9,p) is defined by the formula deg := sgn det (Df(y)) where Df(y) is the Ja... | large_corpus_distillation |
"Race condition-In software-Computer security Many software race conditions have associated computer security implications. A race condition allows an attacker with access to a shared resource to cause other actors that utilize that resource to malfunction, resulting in effects including denial of service and privilege... | large_corpus_distillation |
"Method of steepest descent-A simple estimate-Let \u2009f, S : Cn \u2192 C and C \u2282 Cn. If sup x\u2208C\u211c(S(x))<\u221e, where \u211c(\u22c5) denotes the real part, and there exists a positive real number \u03bb0 such that \u222bC|f(x)e\u03bb0S(x)|dx<\u221e, then the following estimate holds: const \u22c5e\u03b... | large_corpus_distillation |
"Comparison of C Sharp and Java-Object-oriented programming-However, not all programmers agree with this stance. James Gosling and others maintain that checked exceptions are useful, and misusing them has caused the problems. Silently catching exceptions is possible, yes, but it must be stated explicitly what to do wit... | large_corpus_distillation |
effectively become social network services by encouraging user pages and portals.\nSocial network search engines Social network search engines are a class of search engines that use social networks to organize, prioritize or filter search results. There are two subclasses of social network search engines: those that us... | large_corpus_distillation |
"TeraScale (microarchitecture)-TeraScale 1 (VLIW)-Unified shaders Previous GPU architectures implemented fixed-pipelines, i.e. there were distinct shader processors for each type of shader. TeraScale leverages many flexible shader processors which can be scheduled to process a variety of shader types, thereby significa... | large_corpus_distillation |
"High-dimensional statistics-Topics in high-dimensional statistics-High-dimensional variable selection. In addition to estimating the underlying parameter in regression models, another important topic is to seek to identify the non-zero coefficients, as these correspond to variables that are needed in a final model. Ea... | large_corpus_distillation |
"Bijection-Inverses-A bijection f with domain X (indicated by f: X \u2192 Y in functional notation) also defines a converse relation starting in Y and going to X (by turning the arrows around). The process of \"turning the arrows around\" for an arbitrary function does not, in general, yield a function, but properties ... | large_corpus_distillation |
"Polyhedron-Alternative usages-Many traditional polyhedral forms are polyhedra in this sense. Other examples include: A quadrant in the plane. For instance, the region of the cartesian plane consisting of all points above the horizontal axis and to the right of the vertical axis: { ( x, y ) : x \u2265 0, y \u2265 0 } .... | large_corpus_distillation |
"Broadcast network-Broadcast network-Streaming media, Internet radio, and webcasting are sometimes considered forms of broadcasting despite the lack of terrestrial stations; its practitioners may also be called \"broadcasters\" or even \"broadcast networks\"." | large_corpus_distillation |
"Perfect map-Examples and properties-A perfect map need not be open. Indeed, consider the map p:[1,2]\u222a[3,4]\u2192[1,3] given by p(x)=x if x\u2208[1,2] and p(x)=x\u22121 if x\u2208[3,4] . This map is closed, continuous (by the pasting lemma), and surjective and therefore is a perfect map (the other condition i... | large_corpus_distillation |
"Processor consistency-Processor Consistency vs. Sequential Consistency-Processor Consistency (PC) relaxes the ordering between older stores and younger loads that is enforced in Sequential consistency (SC). This allows loads to be issued to the cache and potentially complete before older stores, meaning that stores ca... | large_corpus_distillation |
"SCORE Class 5-SCORE Class 5-SCORE Class 5 is described as \"open wheel unlimited Baja Bug class that competes in the SCORE off-road race series races including the Baja 1000, Baja 500, San Felipe 250, Baja Sur 500 and the SCORE Desert Challenge." | large_corpus_distillation |
"Logistic regression-Maximum entropy-The Lagrangian will be expressed as a function of the probabilities pnk and will minimized by equating the derivatives of the Lagrangian with respect to these probabilities to zero. An important point is that the probabilities are treated equally and the fact that they sum to unity ... | large_corpus_distillation |
"Degeneracy (graph theory)-k-Cores-The concept of a k-core was introduced to study the clustering structure of social networks and to describe the evolution of random graphs. It has also been applied in bioinformatics, network visualization, and resilience of networks in ecology. A survey of the topic, covering the mai... | large_corpus_distillation |
"Szemer\u00e9di regularity lemma-Statement-To state Szemer\u00e9di's regularity lemma formally, we must formalize what the edge distribution between parts behaving 'almost randomly' really means. By 'almost random', we're referring to a notion called \u03b5-regularity. To understand what this means, we first state some... | large_corpus_distillation |
"Post's theorem-Proof of Post's theorem-Bk is the 1-ary symbol for the Turing machine state after k steps. In particular, B0=qI , the initial state of the Turing machine." | large_corpus_distillation |
"Inter-Asterisk eXchange-Drawbacks-Vulnerability: Older implementations of IAX2 were vulnerable to resource exhaustion DoS attacks that are available to the public. While no solutions existed for these issues, the best practices included limiting UDP port access to specific trusted IP addresses. Internet-facing IAX2 po... | large_corpus_distillation |
"Mobile reporting-Technology-Mobile Reporting makes use of a content repurposing platform. This is a platform that supports services that let content owners and users create, share and publish multimedia content whenever and wherever, regardless of format or device. A mobile reporting platform takes care of the compati... | large_corpus_distillation |
"Mobile Location Protocol-Background-The MLP can be used by a location-based application to request mobile station location information from a location server (GMLC/MPC or other entity in the wireless network). This protocol has been prepared by Location Interoperability Forum (LIF: Open Mobile Alliance in nowadays) to... | large_corpus_distillation |
possible salt value. This becomes infeasible if the salt has a big enough range, say a 32-bit number. Unfortunately, many authentication systems in common use do not employ salts and rainbow tables are available on the Internet for several such systems." | large_corpus_distillation |
above, these conditions can be independent of one another." | large_corpus_distillation |
"Multi-stage continuous integration-Recommended practices-Changes propagate as rapidly as possible, stopping only when there is a problem. Ideally, changes make it to the main integration area just as frequently as when doing mainline development. The difference is that fewer problems make it all the way to the main in... | large_corpus_distillation |
"Clustered file system-Design considerations-Avoiding single point of failure The failure of disk hardware or a given storage node in a cluster can create a single point of failure that can result in data loss or unavailability. Fault tolerance and high availability can be provided through data replication of one sort ... | large_corpus_distillation |
"Invex function-Type I invex functions-g(x)\u22640 where f:Rn\u2192R and g:Rn\u2192Rm are differentiable functions. Let F={x\u2208Rn|g(x)\u22640} denote the feasible region of this program. The function f is a Type I objective function and the function g is a Type I constraint function at x0 with respect to \u03... | large_corpus_distillation |
"Fork\u2013join queue-Stationary distribution-In general the stationary distribution of the number of jobs at each queue is intractable. Flatto considered the case of two servers (N=2) and derived the stationary distribution for the number of jobs at each queue via uniformization techniques. Pinotsi and Zazanis show th... | large_corpus_distillation |
"ID3 algorithm-The ID3 metrics-Entropy Entropy H(S) is a measure of the amount of uncertainty in the (data) set S (i.e. entropy characterizes the (data) set S ).\nlog 2\u2061p(x) Where, S \u2013 The current dataset for which entropy is being calculated This changes at each step of the ID3 algorithm, either to a subs... | large_corpus_distillation |
"Email tracking-Email marketing and tracking-Some email marketing tools include tracking as a feature. Such email tracking is usually accomplished using standard web tracking devices known as cookies and web beacons. When an email message is sent, if it is a graphical HTML message (not a plain text message) the email m... | large_corpus_distillation |
"Qualitative variation-Metrics used-Its statistical properties were examined by Sanchez et al. who recommended a bootstrap procedure to estimate confidence intervals when testing for differences between samples.\nOther metrics Let A=\u2211xij B=\u2211xik min (xij,xjk) where min(x,y) is the lesser value of the pair x an... | large_corpus_distillation |
"Fermat pseudoprime-Weak pseudoprimes-If we require n > b, they are (for b = 1, 2, ...) 4, 341, 6, 6, 10, 10, 14, 9, 12, 15, 15, 22, 21, 15, 21, 20, 34, 25, 38, 21, 28, 33, 33, 25, 28, 27, 39, 36, 35, 49, 49, 33, 44, 35, 45, 42, 45, 39, 57, 52, 82, 66, 77, 45, 55, 69, 65, 49, 56, 51, ... (sequence A239293 in the OEIS)C... | large_corpus_distillation |
"Balloon-Applications-Party Balloons Party balloons are mostly made of a natural latex tapped from rubber trees, and can be filled with air, helium, water, or any other suitable liquid or gas. The rubber's elasticity makes the volume adjustable.\nOften the term \"party balloon\" will refer to a twisting balloon or penc... | large_corpus_distillation |
"Count-distinct problem-Solving the weighted count-distinct problem-Any extreme order statistics estimator (min/max sketches) for the unweighted problem can be generalized to an estimator for the weighted problem ." | large_corpus_distillation |
"Glitch-Computer glitch-A computer glitch is the failure of a system, usually containing a computing device, to complete its functions or to perform them properly. It frequently refers to an error which is not detected at the time it occurs but shows up later in data errors or incorrect human decisions. Situations whic... | large_corpus_distillation |
"Authenticator-Examples-A FIDO2 authenticator, also called a WebAuthn authenticator, uses public-key cryptography to interoperate with a WebAuthn client, that is, a conforming web user agent that implements the WebAuthn JavaScript API. The authenticator may be a platform authenticator, a roaming authenticator, or some ... | large_corpus_distillation |
"LLVM-Derivatives-Due to its permissive license, many vendors release their own tuned forks of LLVM. This is officially recognized by LLVM's documentation, which suggests against using version numbers in feature checks for this reason. Some of the vendors include: AMD's AMD Optimizing C/C++ Compiler is based on LLVM, C... | large_corpus_distillation |
"Aharonov\u2013Jones\u2013Landau algorithm-Representing-Given a braind B\u2208Bn let Btr be the link attained by identifying the bottom of the diagram with its top like in the definition of a Markov trace, and let VBtr be the result link's Jones polynomial. The following relation holds: tr \u2061(\u03c1A(B)) where ... | large_corpus_distillation |
"Gaussian quadrature-Other forms-Error estimates The error of a Gaussian quadrature rule can be stated as follows. For an integrand which has 2n continuous derivatives, for some \u03be in (a, b), where pn is the monic (i.e. the leading coefficient is 1) orthogonal polynomial of degree n and where In the important speci... | large_corpus_distillation |
"Nonlinear dimensionality reduction-Applications of NLDR-Consider a dataset represented as a matrix (or a database table), such that each row represents a set of attributes (or features or dimensions) that describe a particular instance of something. If the number of attributes is large, then the space of unique possib... | large_corpus_distillation |
group is made responsible for each member... even though it may seem manifestly unfair to make the group suffer for the individual." | large_corpus_distillation |
"Join-based tree algorithms-Join-based algorithms-Build The algorithm for building a tree can make use of the union algorithm, and use the divide-and-conquer scheme: function build(A[], n) if n = 0 return nil else if n = 1 return Node(nil, A[0], nil) else l' := build(A, n/2) || r' := (A+n/2, n-n/2) return union(L, R) T... | large_corpus_distillation |
context and lexicogrammar. Semantics transforms experience and interpersonal relationships into linguistic meaning, and lexicogrammar transforms this meaning into words\"." | large_corpus_distillation |
"Connection form-Vector bundles-Connection forms The connection form arises when applying the exterior connection to a particular frame e. Upon applying the exterior connection to the e\u03b1, it is the unique k \u00d7 k matrix (\u03c9\u03b1\u03b2) of one-forms on M such that De\u03b1=\u2211\u03b2=1ke\u03b2\u2297\u03c9... | large_corpus_distillation |
"Tokenization (data security)-The tokenization process-The new token is provided to the application for further use.Tokenization systems share several components according to established standards. Token Generation is the process of producing a token using any means, such as mathematically reversible cryptographic fun... | large_corpus_distillation |
"Longest common subsequence problem-Complexity-For the general case of an arbitrary number of input sequences, the problem is NP-hard. When the number of sequences is constant, the problem is solvable in polynomial time by dynamic programming.\nGiven N sequences of lengths n1,...,nN , a naive search would test each o... | large_corpus_distillation |
"Point release-Point release-A point release (also a dot release, or hotfix) is a patch release of a software project, especially one intended to fix bugs or do small cleanups rather than add significant features. Often, there are too many bugs to be fixed in a single major or minor release, creating a need for a point... | large_corpus_distillation |
"Summer learning loss-Vulnerable learners-High-achieving students are much less affected than others by the school year. High-achieving students maintain approximately the same steady rate of skill growth regardless of whether school is in session, whereas average students grow faster during the school year and plateau... | large_corpus_distillation |
"OCaml-Code examples-Option The option type constructor in OCaml, similar to the Maybe type in Haskell, augments a given data type to either return Some value of the given data type, or to return None. This is used to express that a value might or might not be present.This is an example of a function that either extrac... | large_corpus_distillation |
"Form and document creation-The Structure and Organization-topic: this is based on the reader's needs, since the reader is the one expected to act on the information.\ntarget group: this should be a specific group described either by demographic variables or communicative predispositions.\norganizational goal: this is ... | large_corpus_distillation |
a time interval \u0394t as recorded by a clock at A, then they reach B separated by the same time interval \u0394t as recorded by a clock at B." | large_corpus_distillation |
order in which it and other datagrams are sent or received. In fact, many datagrams in the same group can travel along different paths before reaching the same destination." | large_corpus_distillation |
"Capacitive deionization-Constant voltage vs. constant current operation mode-A CDI cell can be operated in either the constant voltage or the constant current mode." | large_corpus_distillation |
"Bayes classifier-Definition-Suppose a pair (X,Y) takes values in Rd\u00d7{1,2,\u2026,K} , where Y is the class label of X . Assume that the conditional distribution of X, given that the label Y takes the value r is given by (X\u2223Y=r)\u223cPr for r=1,2,\u2026,K where \" \u223c \" means \"is distributed as\", an... | large_corpus_distillation |
"Balanced salt solution-Balanced salt solution-In medicine, balanced salt solutions can be used as an irrigation solution such as during intraocular surgery and to replace intraocular fluids." | large_corpus_distillation |
the least-squares fit is improved markedly, with ms residual decreasing to 0.000086 cm\u22121. The calculated data are shown in the columns labelled with (2)." | large_corpus_distillation |
"11.8 \u2022 Solving Systems with Cramer's Rule 1135\n59. Your garden produced two 60. At a market, the three most 61. At the same market, the\ntypes of tomatoes, one popular vegetables make three most popular fruits\ngreen and one red. The red up 53% of vegetable sales. make up 37% of the total\nweigh 10 oz, and the g... | large_corpus_distillation |
"One-time password-Generation-Time-synchronized A time-synchronized OTP is usually related to a piece of hardware called a security token (e.g., each user is given a personal token that generates a one-time password). It might look like a small calculator or a keychain charm, with an LCD that shows a number that change... | large_corpus_distillation |
"Projective space-Synthetic geometry-Finite projective spaces and planes A finite projective space is a projective space where P is a finite set of points. In any finite projective space, each line contains the same number of points and the order of the space is defined as one less than this common number. For finite p... | large_corpus_distillation |
"Gradient-Relationship with derivative-Computationally, given a tangent vector, the vector can be multiplied by the derivative (as matrices), which is equal to taking the dot product with the gradient: Differential or (exterior) derivative The best linear approximation to a differentiable function at a point x in Rn ... | large_corpus_distillation |
"Frequent subtree mining-TreeMiner-Scope-list representation TreeMiner performs depth first candidate generation using scope-list representation of sub-trees to facilitate faster support counting. A k-sub-tree S can be representation by a triplet (t,m,s) where t is the tree id the sub-tree comes from, m is the prefix m... | large_corpus_distillation |
packet is treated independently, and because the network maintains no state based on the path of prior packets, different packets may be routed to the same destination via different paths, resulting in out-of-order delivery to the receiver." | large_corpus_distillation |
"Singular value decomposition-SVD and spectral decomposition-In general, the SVD is unique up to arbitrary unitary transformations applied uniformly to the column vectors of both U and V spanning the subspaces of each singular value, and up to arbitrary unitary transformations on vectors of U and V spanning the kernel ... | large_corpus_distillation |
"Rock (processor)-Unconventional features-In August 2007, Sun confirmed that Rock would be the first production processor to support transactional memory. To provide the functionality, two new instructions were introduced (chkpt, commit) with one new status register (cps). The instruction chkpt <fail_pc> is used to beg... | large_corpus_distillation |
"Helly family-Formal definition-More formally, a Helly family of order k is a set system (V, E), with E a collection of subsets of V, such that, for every finite G \u2286 E with \u22c2X\u2208GX=\u2205, we can find H \u2286 G such that \u22c2X\u2208HX=\u2205 and |H|\u2264k." | large_corpus_distillation |
"Minifloat-Example 8-bit float-At these small sizes other bias values may be interesting, for instance a bias of -2 will make the numbers 0-15 have the same bit representation as the integers 0-15, with the loss that no non-integer values can be represented.\nNumbers in a different base are marked as ...base, for examp... | large_corpus_distillation |
"Lanczos algorithm-The algorithm-Input a Hermitian matrix A of size n\u00d7n , and optionally a number of iterations m (as default, let m=n ).\nStrictly speaking, the algorithm does not need access to the explicit matrix, but only a function v\u21a6Av that computes the product of the matrix by an arbitrary vector.... | large_corpus_distillation |
"Nehalem (microarchitecture)-Variants-Lynnfield processors feature 16 PCIe lanes, which can be used in 1x16 or 2x8 configuration.\n1 6500 series scalable up to 2 sockets, 7500 series scalable up to 4/8 sockets.\nServer and desktop processors Intel states the Gainestown processors have six memory channels. Gainestown pr... | large_corpus_distillation |
"Multiply-with-carry pseudorandom number generator-Choice of multiplier-If p = abr \u2212 1 is prime, then Fermat's little theorem guarantees that the order of any element must divide p \u2212 1 = abr \u2212 2, so one way to ensure a large order is to choose a such that p is a \"safe prime\", that is both p and (p \u22... | large_corpus_distillation |
and we also know that the\nmaximum and minimum must occur at an endpoint, at a point at which the derivative is zero, or at a point where the derivative\nis undefined. Since the derivative is never undefined, that possibility is removed.\nc f\u2032(c)=0\nIf the maximum or minimum occurs at a point , other than an endpo... | large_corpus_distillation |
"Churning (cipher)-Algorithm-Ten static K bits are generated from the key: K1 = (X1\u00d7P13\u00d7P14) + (X2\u00d7P13\u00d7not P14) + (X7\u00d7not P13\u00d7P14) + (X8\u00d7not P13\u00d7not P14) K2 = (X3\u00d7P15\u00d7P16) + (X4\u00d7P15\u00d7not P16) + (X5\u00d7not P15\u00d7P16) + (X6\u00d7not P15\u00d7not P16) K3 = (K... | large_corpus_distillation |
"Present weather sensor-Limitations-The detail of mixed precipitation is not generally possible as the sensor is giving only the dominant one. The report is only valid at the sensor position, it will thus miss precipitation further afield that can be significant. Finally, it cannot by itself distinguish showers from co... | large_corpus_distillation |
"Vancouver system-Sample usage-General rules for names: List names in the order they appear in the text Enter surname (family or last name) first for each author Capitalize surnames and enter spaces within surnames as they appear in the document cited on the assumption that the author approved the form used. For exampl... | large_corpus_distillation |
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