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electrical systems of nuclear facilities IEC/TC 57, Power systems management and associated information exchange IEC/TC 65, Industrial-process measurement, control and automation IEC Advisory Committee on Information security and data privacy (ACSEC)Some organizations external to ISO or IEC that collaborate with or are... | large_corpus_distillation |
"Network science-Network analysis-PageRank PageRank works by randomly picking \"nodes\" or websites and then with a certain probability, \"randomly jumping\" to other nodes. By randomly jumping to these other nodes, it helps PageRank completely traverse the network as some webpages exist on the periphery and would not ... | large_corpus_distillation |
"Semidefinite embedding-Semidefinite embedding-Maximum Variance Unfolding (MVU), also known as Semidefinite Embedding (SDE), is an algorithm in computer science that uses semidefinite programming to perform non-linear dimensionality reduction of high-dimensional vectorial input data.It is motivated by the observation t... | large_corpus_distillation |
"Proximity problems-Proximity problems-A common trait for many of these problems is the possibility to establish the \u0398(n log n) lower bound on their computational complexity by reduction from the element uniqueness problem basing on an observation that if there is an efficient algorithm to compute some kind of min... | large_corpus_distillation |
"Sequential space-Sequential closure/interior-Sequentially closed and open sets A set S is sequentially closed if scl \u2061(S) ; equivalently, for all s\u2219\u2286S and x\u2208X such that s\u2219\u2192\u03c4x, we must have x\u2208S.\nA set S is defined to be sequentially open if its complement is sequentially ... | large_corpus_distillation |
"Lambda calculus-Reduction strategies-Call by name As normal order, but no reductions are performed inside abstractions. For example, \u03bbx.(\u03bby.y)x is in normal form according to this strategy, although it contains the redex (\u03bby.y)x.Strategies with sharing reduce computations that are \"the same\" in parall... | large_corpus_distillation |
are quite specific and, once plans are signed off, building a new home is relatively predictable. However, during renovation projects, flexibility is often required from renovation companies to respond to unexpected issues that arise. Renovations usually require all of the sub-trades that are needed for the constructio... | large_corpus_distillation |
"Cardinal number-History-The notion of cardinality, as now understood, was formulated by Georg Cantor, the originator of set theory, in 1874\u20131884. Cardinality can be used to compare an aspect of finite sets. For example, the sets {1,2,3} and {4,5,6} are not equal, but have the same cardinality, namely three. This ... | large_corpus_distillation |
"Beaufort cipher-Using the cipher-In the above example in the column with \"m\" on top one would find in the reciprocal \"d\" row the ciphertext \"K\". The same is true for decryption where ciphertext \"K\" combined with key \"m\" results in plaintext \"d\" as well as combining \"K\" with \"d\" results in \"m\". This r... | large_corpus_distillation |
"Mercer's theorem-Generalizations-The next generalization deals with representations of measurable kernels.\nLet (X, M, \u03bc) be a \u03c3-finite measure space. An L2 (or square-integrable) kernel on X is a function K\u2208L\u03bc\u2297\u03bc2(X\u00d7X).\nL2 kernels define a bounded operator TK by the formula \u27e8TK... | large_corpus_distillation |
"Network eavesdropping-Types of attacks-Types of network eavesdropping include intervening in the process of decryption of messages on communication systems, attempting to access documents stored in a network system, and listening on electronic devices. Types include electronic performance monitoring and control system... | large_corpus_distillation |
"Java performance-History of performance improvements-Replace the existing concurrent low-pause garbage collector (also called concurrent mark-sweep (CMS) collector) by a new collector called Garbage First (G1) to ensure consistent pauses over time." | large_corpus_distillation |
"Bilingual lexical access-In word recognition-Word priming task: Participants are presented with a prime word before they respond to each target word. The prime words are either lexically related or unrelated to the target words, and the effect of the prime on target word processing will be measured. A target word that... | large_corpus_distillation |
"Signature forgery-Signature forgery-Signature forgery refers to the act of falsely replicating another person's signature." | large_corpus_distillation |
"Joint Information Environment-Joint Information Environment-The organization evolving the JIE includes the Joint Chiefs of Staff (JCS), Office of the Deputy Chief Management Officer (DCMO), DoD CIO, Joint Staff J6, United States Cyber Command, military services, intelligence community, and National Guard. The JCS chai... | large_corpus_distillation |
"Cyclic code-Cyclic codes on Fourier transform-Thus, cyclic codes can also be defined as Given a set of spectral indices, A=(j1,....,jn\u2212k) , whose elements are called check frequencies, the cyclic code C is the set of words over GF(q) whose spectrum is zero in the components indexed by j1,...,jn\u2212k . Any s... | large_corpus_distillation |
"Network motif-History-The study of network motifs was pioneered by Holland and Leinhardt who introduced the concept of a triad census of networks. They introduced methods to enumerate various types of subgraph configurations, and test whether the subgraph counts are statistically different from those expected in rando... | large_corpus_distillation |
"Index calculus algorithm-Description-Roughly speaking, the discrete log problem asks us to find an x such that mod n) , where g, h, and the modulus n are given." | large_corpus_distillation |
"Sequent-Introduction-One sees here again a symmetry because of the disjunctive semantics on the right hand side. If the left side is empty, then one or more right-side propositions must be true. If the right side is empty, then one or more of the left-side propositions must be false.\nThe doubly extreme case ' \u22a2 ... | large_corpus_distillation |
"Wireless sensor network-Other concepts-Sensor data calibration and fault tolerance Sensors and devices used in wireless sensor networks are state-of-the-art technology with the lowest possible price. The sensor measurements we get from these devices are therefore often noisy, incomplete and inaccurate. Researchers stu... | large_corpus_distillation |
"Timing attack-Avoidance-Many cryptographic algorithms can be implemented (or masked by a proxy) in a way that reduces or eliminates data-dependent timing information, a constant-time algorithm. Consider an implementation in which every call to a subroutine always returns in exactly x seconds, where x is the maximum ti... | large_corpus_distillation |
"Computational complexity theory-Machine models and complexity measures-Best, worst and average case complexity The best, worst and average case complexity refer to three different ways of measuring the time complexity (or any other complexity measure) of different inputs of the same size. Since some inputs of size n m... | large_corpus_distillation |
"Information flow (information theory)-Declassification-var l, h flow H \u227a L in l := h When A when declassification policy regulates when the information can be released. Policies of this kind can be used to verify programs that implement, for example, controlled release of secret information after payment, or enc... | large_corpus_distillation |
Finished message.\nThe client performs the same decryption and verification procedure as the server did in the previous step.\nApplication phase: at this point, the \"handshake\" is complete and the application protocol is enabled, with content type of 23. Application messages exchanged between client and server will a... | large_corpus_distillation |
two values for \u03bb will allow F n to satisfy this equation.\nc. Consider the two solutions from part b.: \u03bb 1 and \u03bb 2. Let F n =c 1 \u03bbn 1 +c 2 \u03bbn 2 . Use the initial conditions F 0 and F 1 to\ndetermine the values for the constants c 1 and c 2 and write the closed formula F n.\n3. Use the answer in... | large_corpus_distillation |
"Strigi-Features-SHA-1 hash for every file indexed to find duplicates As of July, 2007 Strigi supports indexing the contents of plain text, PDF, MP3, archives, Debian and RPM packages, and OASIS OpenDocument text (odt), spreadsheet (ods) and presentation (odp) files D-Bus and socket support for communication between th... | large_corpus_distillation |
"Singleton bound-Proof-First observe that the number of q -ary words of length n is qn , since each letter in such a word may take one of q different values, independently of the remaining letters." | large_corpus_distillation |
"Proofs involving ordinary least squares-Maximum likelihood approach-Maximum likelihood estimation is a generic technique for estimating the unknown parameters in a statistical model by constructing a log-likelihood function corresponding to the joint distribution of the data, then maximizing this function over all pos... | large_corpus_distillation |
"Potentially all pairwise rankings of all possible alternatives-A simple demonstration of the PAPRIKA method-2nd 122: 0 + 4 + 3 = 7 points (or 0 + 44.4 + 33.3 = 77.8 points normalized) 3rd 221: 2 + 4 + 0 = 6 points (or 22.2 + 44.4 + 0 = 66.7 points normalized) 4th 212: 2 + 0 + 3 = 5 points (or 22.2 + 0 + 33.3 = 55.6 po... | large_corpus_distillation |
"Bfloat16 floating-point format-Examples-3f80 = 0 01111111 0000000 = 1 c000 = 1 10000000 0000000 = \u22122 7f7f = 0 11111110 1111111 = (28 \u2212 1) \u00d7 2\u22127 \u00d7 2127 \u2248 3.38953139 \u00d7 1038 (max finite positive value in bfloat16 precision) 0080 = 0 00000001 0000000 = 2\u2212126 \u2248 1.175494351 \u00d... | large_corpus_distillation |
"Mathematical induction-Relationship to the well-ordering principle-For any natural number n, n +\u20091 is greater than n.\nFor any natural number n, no natural number is between n and n +\u20091.\nNo natural number is less than zero.It can then be proved that induction, given the above-listed axioms, implies the well... | large_corpus_distillation |
"Object Process Methodology-Syntax and semantics-Condition state-specified consumption link: A condition state-specified consumption link is a condition consumption link that originates from a specified state of an object and terminates at a process, meaning that if an object instance exists in the specified state and ... | large_corpus_distillation |
reduction in functionality and responsiveness (client-side scripting can be much faster than server-side scripting because it does not need to connect to a remote server and the page or frame does not need to be reloaded). Another problem with script blocking is that many users do not understand it, and do not know how... | large_corpus_distillation |
"Session Initiation Protocol-Encryption-Concerns about the security of calls via the public Internet have been addressed by encryption of the SIP protocol for secure transmission. The URI scheme SIPS is used to mandate that SIP communication be secured with Transport Layer Security (TLS). SIPS URIs take the form sips:u... | large_corpus_distillation |
"AKS primality test-Importance-AKS is the first primality-proving algorithm to be simultaneously general, polynomial-time, deterministic, and unconditionally correct. Previous algorithms had been developed for centuries and achieved three of these properties at most, but not all four. The AKS algorithm can be used to ... | large_corpus_distillation |
"Variable-length code-Classes of variable-length codes-Variable-length codes can be strictly nested in order of decreasing generality as non-singular codes, uniquely decodable codes and prefix codes. Prefix codes are always uniquely decodable, and these in turn are always non-singular: Non-singular codes A code is non-... | large_corpus_distillation |
"Quantum secret sharing-Protocol-The presence of either an outside eavesdropper or a dishonest receiver (either Bob or Charlie) can be detected without the secret being revealed.Alice initiates the protocol by sharing with each of Bob and Charlie one particle from a GHZ triplet in the (standard) Z-basis, holding onto t... | large_corpus_distillation |
"Kernel methods for vector output-Notation-\u2020 It is possible, though non-trivial, to show that a representer theorem also holds for Tikhonov regularization in the vector-valued setting.Note, the matrix-valued kernel K can also be defined by a scalar kernel R on the space X\u00d7{1,\u2026,D} . An isometry exists ... | large_corpus_distillation |
the publics of the services and products offered, instructions needed for best outcomes, and other useful information. Technical and medical writers also make sure appropriate and accurate records are kept for internal and external accountability and regulation. An important part of their roles is to prepare reports fo... | large_corpus_distillation |
"Skewness-Other measures of skewness-Medcouple The medcouple is a scale-invariant robust measure of skewness, with a breakdown point of 25%. It is the median of the values of the kernel function h(xi,xj)=(xi\u2212xm)\u2212(xm\u2212xj)xi\u2212xj taken over all couples (xi,xj) such that xi\u2265xm\u2265xj , where xm i... | large_corpus_distillation |
"Multiprocessing-Multiprocessing-Multiprocessing is the use of two or more central processing units (CPUs) within a single computer system. The term also refers to the ability of a system to support more than one processor or the ability to allocate tasks between them. There are many variations on this basic theme, and... | large_corpus_distillation |
"Primitive ideal-Primitive ideal-In mathematics, specifically ring theory, a left primitive ideal is the annihilator of a (nonzero) simple left module. A right primitive ideal is defined similarly. Left and right primitive ideals are always two-sided ideals.\nPrimitive ideals are prime. The quotient of a ring by a left... | large_corpus_distillation |
"Polyconvex function-Polyconvex function-In mathematics, the notion of polyconvexity is a generalization of the notion of convexity for functions defined on spaces of matrices. Let Mm\u00d7n(K) denote the space of all m \u00d7 n matrices over the field K, which may be either the real numbers R, or the complex numbers C... | large_corpus_distillation |
a variety of indexing options and the ability to simultaneously use multiple, differently configured indexes in the same query using Apache Lucene, a high-performance, full-featured text search engine The Connectors: The performance of search such as full-text search and faceted search can be vastly improved via the co... | large_corpus_distillation |
"Interactive Application System-Performance-The system can be operated in one of three modes: Real-Time, Multi-User, and Timesharing.Multi-User shares the system with Real-Time tasks; Timesharing adds effective concurrent use of batch processing alongside \"noncritical real-time tasks\" and interactive users.:\u200app.... | large_corpus_distillation |
"Scaled agile framework-Challenges of scaling agile principles and practices-Coping with longer planning horizons Development teams typically refine their backlog up to two to three iterations ahead, but in larger organizations the product marketing team needs to plan further ahead for their commitments to market and d... | large_corpus_distillation |
"Burroughs B6x00-7x00 instruction set-Scan operators-SWFD Scan while false, destructive SISO String isolate SWTD Scan while true, destructive SWTU Scan while true, update SLSD Scan while less, destructive SLSU Scan while less, update SGED Scan while greater or equal, destructive SGEU Scan while greater or equal, update... | large_corpus_distillation |
"ElGamal signature scheme-Correctness-The algorithm is correct in the sense that a signature generated with the signing algorithm will always be accepted by the verifier.\nThe computation of s during signature generation implies mod p\u22121).\nSince g is relatively prime to p mod mod mod p)." | large_corpus_distillation |
"VND Index-Criteria-Nominal VND Index: based on nominal exchange rates and calculated on monthly basic.\nReal VND Index: based on real exchange rates and calculated on daily basic.Both real and nominal VND Indexes started 100 point in the beginning of 2009." | large_corpus_distillation |
"Question answering-Question answering methods-Keyword extraction is the first step in identifying the input question type. In some cases, words clearly indicate the question type, e.g., \"Who\", \"Where\", \"When\", or \"How many\"\u2014these words might suggest to the system that the answers should be of type \"Perso... | large_corpus_distillation |
"Highly composite number-Highly composite number-A highly composite number, also known as an anti-prime, is a positive integer with more divisors than any smaller positive integer has. A related concept is that of a largely composite number, a positive integer which has at least as many divisors as any smaller positive... | large_corpus_distillation |
"Boolean data type-Language-specific implementations-C, C++, Objective-C, AWK Initial implementations of the language C (1972) provided no Boolean type, and to this day Boolean values are commonly represented by integers (ints) in C programs. The comparison operators (>, ==, etc.) are defined to return a signed integer... | large_corpus_distillation |
deciding the truth of a statement in Presburger arithmetic requires even more time. Fischer and Rabin proved in 1974 that every algorithm that decides the truth of Presburger statements of length n has a runtime of at least 22cn for some constant c. Hence, the problem is known to need more than exponential run time. E... | large_corpus_distillation |
"Parts cleaning-Elements and their interactions-All cleaning steps are characterized by media and applied temperatures and their individual agitation/application (mechanical impact). There is a wide range of different methods and combinations of these methods: Blasting Boiling under pressure Carbon dioxide cleaning Cir... | large_corpus_distillation |
"Degree of a polynomial-Degree of a polynomial-In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. Fo... | large_corpus_distillation |
annual growth factor (or CAGR - Compound Annual Growth Rate). The crux of the Crosby-Wood model, and that which sets it apart from the customary DCF, is that the growth factor is derived by means of formula, as a function of the rate of return and the All Risks Yield. For example, if the rate of return is 10% per annum... | large_corpus_distillation |
"Lexical analysis-Obstacles-Typically, lexical tokenization occurs at the word level. However, it is sometimes difficult to define what is meant by a \"word\". Often a tokenizer relies on simple heuristics, for example: Punctuation and whitespace may or may not be included in the resulting list of tokens.\nAll contiguo... | large_corpus_distillation |
"Computer program-Functional categories-The program pregion stores machine instructions. Since machine instructions do not change, the program pregion may be shared by many processes of the same executable.\nTo save time and memory, the kernel may load only blocks of execution instructions from the disk drive, not the ... | large_corpus_distillation |
"Coding best practices-Coding standards-Commenting Due to time restrictions or enthusiastic programmers who want immediate results for their code, commenting of code often takes a back seat. Programmers working as a team have found it better to leave comments behind since coding usually follows cycles, or more than one... | large_corpus_distillation |
"Priority queue-Libraries-The Standard Template Library (STL), and the C++ 1998 standard, specifies std::priority_queue as one of the STL container adaptor class templates. However, it does not specify how two elements with same priority should be served, and indeed, common implementations will not return them accordin... | large_corpus_distillation |
"Walking city-Walking city-A walking city is a type of city that is created to avoid internal transportation, and therefore be small enough that a person can use walking to navigate the city. It is characterized by narrow, often winding streets. Its transport system is inherently egalitarian, with no one being disadvan... | large_corpus_distillation |
"Zero element-Additive identities-An additive identity is the identity element in an additive group. It corresponds to the element 0 such that for all x in the group, 0 + x = x + 0 = x. Some examples of additive identity include: The zero vector under vector addition: the vector of length 0 and whose components are all... | large_corpus_distillation |
"Sample mean and covariance-Unbiasedness-The maximum likelihood estimate of the covariance qjk=1N\u2211i=1N(xij\u2212x\u00afj)(xik\u2212x\u00afk) for the Gaussian distribution case has N in the denominator as well. The ratio of 1/N to 1/(N \u2212 1) approaches 1 for large N, so the maximum likelihood estimate approxima... | large_corpus_distillation |
objects, index document support and error document support." | large_corpus_distillation |
"Author-level metrics-List of metrics-h2 Three additional metrics have been proposed: h2 lower, h2 center, and h2 upper, to give a more accurate representation of the distribution shape. The three h2 metrics measure the relative area within a scientist's citation distribution in the low impact area, h2 lower, the area ... | large_corpus_distillation |
states occur when the decompressor: successfully decompresses a packet fails to decompress several packets " | large_corpus_distillation |
"Webshots-History-On October 2, 2012, American Greetings sold Webshots to Threefold Photos, Inc. The image hosting service was shut down on December 1, 2012. Webshots relaunched as a photo sharing service called Smile by Webshots; however, the service no longer exists. In May 2013, Threefold Photos introduced Webshots ... | large_corpus_distillation |
"Logogen model-Other models to consider-verification model \u2013 The model was developed by Curtis Becker in 1970. The main idea is that a small number of candidates that are activated in parallel are subject to a serial-verification process. This model starts the word-recognition process with a basic representation o... | large_corpus_distillation |
"Automated guided vehicle-Navigation-Geoguidance A geoguided AGV recognizes its environment to establish its location. Without any infrastructure, the forklift equipped with geoguidance technology detects and identifies columns, racks and walls within the warehouse. Using these fixed references, it can position itself,... | large_corpus_distillation |
"Table of prime factors-Properties-A Ruth-Aaron pair is two consecutive numbers (x, x+1) with a0(x) = a0(x+1). The first (by x value): 5, 8, 15, 77, 125, 714, 948, 1330, 1520, 1862, 2491, 3248 (sequence A039752 in the OEIS), another definition is the same prime only count once, if so, the first (by x value): 5, 24, 49,... | large_corpus_distillation |
"Table of years in music-1600s in music-1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 16191620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 16391640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 16... | large_corpus_distillation |
paradigm of unsupervised learning are in general estimation problems; the applications include clustering, the estimation of statistical distributions, compression and filtering." | large_corpus_distillation |
"OpenPuff-Deniable steganography-There will always be a non-negligible probability of being detected, even if the hidden stream behaves like a \u201cnatural container\u201d (unpredictable side-effects, being caught in Flagrante delicto, etc.). Resisting these unpredictable attacks is also possible, even when the user i... | large_corpus_distillation |
"Q&A software-Classification-Change of Q&A community features Community Q&A sites involved everyday users in answering questions \u2013 it largely increased the number of contributors. One of the problems of these communities is that it is hard to control the quality of answers compared with \"ask an expert service... | large_corpus_distillation |
"The sampling distribution of a statistic is the relative frequency distribution of that statistic that is approached as the number of\n5,000\nsamples (not the sample size!) approaches infinity. To approximate a sampling distribution, click the \" samples\" button\nseveral times. The bottom graph is then a relative fre... | large_corpus_distillation |
"File system-Aspects of file systems-File systems allocate space in a granular manner, usually multiple physical units on the device. The file system is responsible for organizing files and directories, and keeping track of which areas of the media belong to which file and which are not being used. For example, in Appl... | large_corpus_distillation |
"ALTQ-ALTQ-CoDel \u2014 Controlled Delay. Attempts to combat bufferbloat.\nfairq \u2014 Fair Queuing. Attempts to fairly distribute bandwidth among all connections.\nhfsc \u2014 Hierarchical Fair Service Curve. Queues attached to an interface build a tree, thus each queue can have further child queues. Each queue can h... | large_corpus_distillation |
"Backpressure routing-How it works-Distributed backpressure Note that once the transmission rates (\u03bcab(t)) have been selected, the routing decision variables \u03bcab(c)(t) can be computed in a simple distributed manner, where each node only requires knowledge of queue backlog differentials between itself and its... | large_corpus_distillation |
"Storage violation-Detection of storage violations-Storage violations can be difficult to detect as a program can often run for a period of time after the violation before it crashes. For example, a pointer to a freed area of memory can be retained and later reused causing an error. As a result, efforts focus on detect... | large_corpus_distillation |
"Grothendieck inequality-Variants of the Grothendieck inequality-The parameter \u03d1 is known as the Lov\u00e1sz theta function of the complement of G L^p Grothendieck inequality In the application of the Grothendieck inequality for approximating the cut norm, we have seen that the Grothendieck inequality answers th... | large_corpus_distillation |
with probability 1. This is a powerful theorem in more advanced work, but it is not quite as useful\nas it appears, since the restriction E[|Z n |]\u2264M is more than a technical restriction; for example it is not satisfied by a zero-mean\nrandom walk. We prove the theorem with the additional restriction that there is... | large_corpus_distillation |
"Divide-and-conquer eigenvalue algorithm-Divide-and-conquer eigenvalue algorithm-Divide-and-conquer eigenvalue algorithms are a class of eigenvalue algorithms for Hermitian or real symmetric matrices that have recently (circa 1990s) become competitive in terms of stability and efficiency with more traditional algorithm... | large_corpus_distillation |
"Advanced Train Control System-Advanced Train Control System-The Base Communications Packages (BCP) interface the ground segment to the RF segment of the communications system. Mobile Communications Packages (MCP) interface clients to the RF segment of the communications system or (optionally) to the ground system dire... | large_corpus_distillation |
"Comparability graph-Definitions and characterization-Equivalently, a comparability graph is a graph that has a transitive orientation, an assignment of directions to the edges of the graph (i.e. an orientation of the graph) such that the adjacency relation of the resulting directed graph is transitive: whenever there ... | large_corpus_distillation |
"938 7 \u2022 Exercises\n7.7Solving Systems with Inverses\n\u2022 An identity matrix has the property SeeExample 1.\n\u2022 An invertible matrix has the property SeeExample 2.\n\u2022 Use matrix multiplication and the identity to find the inverse of a matrix. SeeExample 3.\n\u2022 The multiplicative inverse can be foun... | large_corpus_distillation |
"Sublinear function-Properties-Every sublinear function is a convex function: For 0\u2264t\u22641, If p:X\u2192R is a sublinear function on a vector space X then for every x\u2208X, which implies that at least one of p(x) and p(\u2212x) must be nonnegative; that is, for every x\u2208X, Moreover, when p:X\u2192... | large_corpus_distillation |
"Tiger (hash function)-Usage-Tiger is frequently used in Merkle hash tree form, where it is referred to as TTH (Tiger Tree Hash). TTH is used by many clients on the Direct Connect and Gnutella file sharing networks, and can optionally be included in the BitTorrent metafile for better content availability.\nTiger was co... | large_corpus_distillation |
"Local language (formal language)-Properties-The family of local languages over A is closed under intersection and Kleene star, but not complement, union or concatenation.\nEvery regular language not containing the empty string is the image of a local language under a strictly alphabetic morphism." | large_corpus_distillation |
"Latent semantic analysis-Mathematics of LSI-Note that this rank reduction is essentially the same as doing Principal Component Analysis (PCA) on the matrix A, except that PCA subtracts off the means. PCA loses the sparseness of the A matrix, which can make it infeasible for large lexicons." | large_corpus_distillation |
"Function problem-Reductions and complete problems-It is therefore possible to define FNP-complete problems analogous to the NP-complete problem: A problem \u03a0R is FNP-complete if every problem in FNP can be reduced to \u03a0R . The complexity class of FNP-complete problems is denoted by FNP-C or FNPC. Hence the p... | large_corpus_distillation |
"Proofs involving ordinary least squares-Maximum likelihood approach-Finite-sample distribution Since we have assumed in this section that the distribution of error terms is known to be normal, it becomes possible to derive the explicit expressions for the distributions of estimators \u03b2^ and \u03c3^2 :\u03b2^=(X\... | large_corpus_distillation |
"Inline expansion-Compiler support-Typically, compiler developers keep the above performance issues in mind, and incorporate heuristics into their compilers that choose which functions to inline so as to improve performance, rather than worsening it, in most cases." | large_corpus_distillation |
"Traditional grammar-Accidence-This partial table includes only two tenses (present and preterite) and one mood (indicative) in addition to the infinitive. A more complete conjugation table for Latin would also include the subjunctive and imperative moods and the imperfect indicative, which indicates imperfective aspec... | large_corpus_distillation |
"Probability-Mathematical treatment-Inverse probability In probability theory and applications, Bayes' rule relates the odds of event A1 to event A2, before (prior to) and after (posterior to) conditioning on another event B." | large_corpus_distillation |
powerful, and simple method of leveraging Hypertext Transfer Protocol (HTTP) as a Web service in its own right\"." | large_corpus_distillation |
examined only 400-level courses and conclusions regarding grade inflation should not be generalized to courses at other levels." | large_corpus_distillation |
"\u039b-ring-Examples-The ring \u039bZ of symmetric functions is a \u03bb-ring. On the integer coefficients the \u03bb-operations are defined by binomial coefficients as above, and if e1, e2, ... denote the elementary symmetric functions, we set \u03bbn(e1) = en. Using the axioms for the \u03bb-operations, and the fact... | large_corpus_distillation |
P(15<X<20)\u22480.3221\n1. ,\nx =21.605 x \u224822.044\n2. 0.75 , 0.75\nThis page titled 5.9: Chi-Square and Related Distribution is shared under a CC BY 2.0 license and was authored, remixed, and/or curated by Kyle\nSiegrist (Random Services) via source content that was edited to the style and standards of the LibreTe... | large_corpus_distillation |
"Adele ring-The adele ring-Now select s\u2208Z such that \u03b1\u221e\u2212r\u2212s\u2208[\u221212,12].\nThen \u03b1\u2212(r+s)\u2208W.\nThe continuous projection \u03c0:W\u2192AQ/Q is surjective, therefore AQ/Q, as the continuous image of a compact set, is compact.\nCorollary. Let E be a finite-dimensional vecto... | large_corpus_distillation |
"Decision tree learning-Metrics-To find \u03c6(s\u2223t) of the feature savings, we need to note the quantity of each value. The original data contained three low's, three medium's, and two high's. Out of the low's, one had a good credit risk while out of the medium's and high's, 4 had a good credit risk. Assume a can... | large_corpus_distillation |
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