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processor's speed, which may affect the speed of operations, but may or may not make a device noticeably less able, depending on other hardware and desired use." | large_corpus_distillation |
"Choice-supportive bias-Examples-A 50 year study of college grades Many similar studies have been performed, such as a fifty-year study of remembering college grades. In this study one to 54 years after graduating, 276 alumni correctly recalled 3,025 of 3,967 college grades. The number of omission errors increased with... | large_corpus_distillation |
"Electronic dictionary-Information-Most of the early electronic dictionaries were, in effect, print dictionaries made available in digital form: the content was identical, but the electronic editions provided users with more powerful search functions. But soon the opportunities offered by digital media began to be expl... | large_corpus_distillation |
"Electromagnetic attack-Known attacks-While the fact that circuits that emit high-frequency signals may leak secret information was known since 1982 by the NSA, it was classified until 2000, which was right around the time that the first electromagnetic attack against encryption was shown by researchers. Since then, ma... | large_corpus_distillation |
"Cyclic module-Examples-2Z as a Z-module is a cyclic module.\nIn fact, every cyclic group is a cyclic Z-module.\nEvery simple R-module M is a cyclic module since the submodule generated by any non-zero element x of M is necessarily the whole module M. In general, a module is simple if and only if it is nonzero and is g... | large_corpus_distillation |
"Prisma (app)-Reception-On the first day of the Android version release, it received over 1.7 million downloads with 50 million pictures processed by the app." | large_corpus_distillation |
"In-product communication-Variations-In-App Communication In-app communication or in-app messaging is the act of messaging, gathering feedback, or otherwise communicating with users through a software application, either on a mobile phone or tablet device, or through software on a PC. In this mode of communication, a c... | large_corpus_distillation |
"Java ConcurrentMap-ConcurrentMap 1.8 methods-Because Map and ConcurrentMap are interfaces, new methods cannot be added to them without breaking implementations. However, Java 1.8 added the capability for default interface implementations and it added to the Map interface default implementations of some new methods get... | large_corpus_distillation |
"Optimality Theory-Con: the constraint set-Markedness constraints Markedness constraints introduced by Prince & Smolensky (1993) include: Precise definitions in literature vary. Some constraints are sometimes used as a \"cover constraint\", standing in for a set of constraints that are not fully known or important.Some... | large_corpus_distillation |
"Weibull distribution-Properties-Reparametrization tricks Fix some \u03b1>0 . Let (\u03c01,...,\u03c0n) be nonnegative, and not all zero, and let g1,...,gn be independent samples of Weibull (1,\u03b1\u22121) , then arg min Categorical (\u03c0j\u2211i\u03c0i)j min Weibull ((\u2211i\u03c0i)\u2212\u03b1,\u03b1\u22121)... | large_corpus_distillation |
"Computational complexity-Models of computation-The time needed for a computation on N processors is at least the quotient by N of the time needed by a single processor. In fact this theoretically optimal bound can never be reached, because some subtasks cannot be parallelized, and some processors may have to wait a re... | large_corpus_distillation |
"Orienteering map-Map accuracy and map quality-Map accuracy refers to the work of the surveyor (field-worker) and relates not so much to the positional accuracy of the survey but rather to its utility for the competitor. Map quality refers to the quality of the artwork. Many national bodies have a competition in which ... | large_corpus_distillation |
"Finitely generated abelian group-Corollaries-Stated differently the fundamental theorem says that a finitely generated abelian group is the direct sum of a free abelian group of finite rank and a finite abelian group, each of those being unique up to isomorphism. The finite abelian group is just the torsion subgroup o... | large_corpus_distillation |
"Rule 90-Rule 90-Some of the earliest studies of Rule 90 were made in connection with an unsolved problem in number theory, Gilbreath's conjecture, on the differences of consecutive prime numbers.\nThis rule is also connected to number theory in a different way, via Gould's sequence. This sequence counts the number of ... | large_corpus_distillation |
"Quantifier (logic)-Range of quantification-A universally quantified formula over an empty range (like \u2200x\u2208\u2205x\u2260x ) is always vacuously true. Conversely, an existentially quantified formula over an empty range (like \u2203x\u2208\u2205x=x ) is always false." | large_corpus_distillation |
In the hierarchy of digital computing systems ranging from general-purpose processors to fully customized hardware, there is a tradeoff between flexibility and efficiency, with efficiency increasing by orders of magnitude when any given application is implemented higher up that hierarchy. This hierarchy includes genera... | large_corpus_distillation |
"Multiset-Counting multisets-As ((nd)) is a polynomial in n, it and the generating function are well defined for any complex value of n." | large_corpus_distillation |
"Issues relating to iOS-Issues relating to iOS-The iOS mobile operating system developed by Apple Inc. has had a wide range of bugs and security issues discovered throughout its lifespan, including security exploits discovered in most versions of the operating system related to the practice of jailbreaking (to remove A... | large_corpus_distillation |
"Holistic Scoring of Writing-Validation-Holistic scoring is often validated by its outcomes. Consistency among rater scores, or \"rater reliability,\" has been computed by at least eight different formulas, among them percentage of agreement, Pearson's r correlation coefficient, the Spearman-Brown formula, Cronbach's a... | large_corpus_distillation |
"Expectiminimax-Expectiminimax-In the traditional minimax method, the levels of the tree alternate from max to min until the depth limit of the tree has been reached. In an expectiminimax tree, the \"chance\" nodes are interleaved with the max and min nodes. Instead of taking the max or min of the utility values of the... | large_corpus_distillation |
"Lucas primality test-Concepts-Note that if there exists an a < n such that the first equivalence fails, a is called a Fermat witness for the compositeness of n." | large_corpus_distillation |
"Pointer (computer programming)-Support in various programming languages-The void pointer, or void*, is supported in ANSI C and C++ as a generic pointer type. A pointer to void can store the address of any object (not function), and, in C, is implicitly converted to any other object pointer type on assignment, but it m... | large_corpus_distillation |
"43,112,609-In mathematics-43,112,609 is a prime number. Moreover, it is the exponent of the 47th Mersenne prime, equal to M43,112,609 = 243,112,609 \u2212 1, a prime number with 12,978,189 decimal digits. It was discovered on August 23, 2008 by Edson Smith, a volunteer of the Great Internet Mersenne Prime Search. The ... | large_corpus_distillation |
"Traditional grammar-Syntax-French prepositional phrase: sur la table (\"on the table\") Chinese postpositional phrase: \u684c\u5b50\u4e0a (zhu\u014dzi sh\u00e0ng, \"on the table\") Sorani Kurdish circumpostional phrase: la Kurdist\u00e2n' \u00e2 (\"in Kurdistan\")An adverbial consists of either a single adverb, an adv... | large_corpus_distillation |
rate lasers operating at \u2264 1 J per pulse with \u226410 ns pulse length at 60+ Hz rep rate, \u2264 1 mm spot size. The slab laser system operates in the range of 10\u201325 J per pulse with 8\u201325 ns pulse duration at 3\u20135 Hz rep rate, nominal spot sizes of 2\u20135 mm. The commercial systems include rod las... | large_corpus_distillation |
"PageRank-Algorithm-Damping factor The PageRank theory holds that an imaginary surfer who is randomly clicking on links will eventually stop clicking. The probability, at any step, that the person will continue following links is a damping factor d. The probability that they instead jump to any random page is 1 - d. Va... | large_corpus_distillation |
"Morphome (linguistics)-Morphome (linguistics)-The term morphome refers to a function in linguistics which is purely morphological or has an irreducibly morphological component. The term is particularly used by Martin Maiden following Mark Aronoff's identification of morphomic functions and the morphomic level\u2014a l... | large_corpus_distillation |
"Machine learning in earth sciences-Challenge-Limited by data input Machine learning cannot carry out some of the tasks as a human does easily. For example, in the quantification of water inflow in rock tunnel faces by images for Rock Mass Rating system (RMR), the damp and the wet state was not classified by machine le... | large_corpus_distillation |
"Agile learning-Background-Scrum is a framework for project and product management, in particular for agile software development. Scrum employs an iterative, incremental approach to optimize predictability and control risk. It has been developed from the experience that many development projects are too complex to be i... | large_corpus_distillation |
"Slide rule-Comparison to electronic digital calculators-The typical arithmetic precision of a slide rule is about three significant digits, compared to many digits on digital calculators. As order of magnitude gets the greatest prominence when using a slide rule, users are less likely to make errors of false precision... | large_corpus_distillation |
"Linear code-Definition and parameters-A linear code of length n and dimension k is a linear subspace C with dimension k of the vector space Fqn where Fq is the finite field with q elements. Such a code is called a q-ary code. If q = 2 or q = 3, the code is described as a binary code, or a ternary code respectively. ... | large_corpus_distillation |
"Dynamic dispatch-Dynamic dispatch mechanisms-Some languages offer a hybrid approach.\nDynamic dispatch will always incur an overhead so some languages offer static dispatch for particular methods.\nC++ implementation C++ uses early binding and offers both dynamic and static dispatch. The default form of dispatch is st... | large_corpus_distillation |
"IP exchange-Status-GSMA is open to support further trials on demand." | large_corpus_distillation |
"Backpropagation-Matrix multiplication-Multiplying starting from \u2207aLC \u2013 propagating the error backwards \u2013 means that each step simply multiplies a vector ( \u03b4l ) by the matrices of weights (Wl)T and derivatives of activations (fl\u22121)\u2032 . By contrast, multiplying forwards, starting from the... | large_corpus_distillation |
"Plotting algorithms for the Mandelbrot set-Advanced plotting algorithms-Further, separate interpolation of both real axis points and imaginary axis points should provide both an upper and lower bound for the point being calculated. If both results are the same (i.e. both escape or do not escape) then the difference \... | large_corpus_distillation |
"Windows Vista I/O technologies-SuperFetch-SuperFetch is a technology that pre-loads commonly used applications into memory to reduce their load times. It is extended from the \"prefetcher\" function in Windows XP. SuperFetch attempts to load commonly used libraries and application components into memory before they ar... | large_corpus_distillation |
"Line graph of a hypergraph-Line graphs of k-uniform linear hypergraphs, k \u2265 3-The complexity of recognizing line graphs of linear k-uniform hypergraphs without any constraint on minimum degree (or minimum edge-degree) is not known. For k = 3 and minimum degree at least 19, recognition is possible in polynomial ti... | large_corpus_distillation |
"Square packing in a square-Square packing in a circle-Square packing in a circle is a related problem of packing n unit squares into a circle with radius as small as possible. For this problem, good solutions are known for n up to 35. Here are minimum solutions for n up to 12: " | large_corpus_distillation |
"Symmetrical voice-Properties-The patient voice affix may agree only with patient nominal phrases.\nKapampangan Tagalog The sentences in (b) are ungrammatical because the agent nominal phrase is marked as the subject, even though the verb bears the patient voice affix. The sentences in (c) are ungrammatical because, in... | large_corpus_distillation |
"Function field sieve-Function field sieve-The discrete logarithm problem in a finite field consists of solving the equation ax=b for a,b\u2208Fpn , p a prime number and n an integer. The function f:Fpn\u2192Fpn,x\u21a6ax for a fixed a\u2208Fpn is a one-way function used in cryptography. Several cryptographic met... | large_corpus_distillation |
"Search engine indexing-Indexing-Challenges in parallelism A major challenge in the design of search engines is the management of serial computing processes. There are many opportunities for race conditions and coherent faults. For example, a new document is added to the corpus and the index must be updated, but the in... | large_corpus_distillation |
"Bijective numeration-The bijective base-10 system-The bijective base-10 system is a base ten positional numeral system that does not use a digit to represent zero. It instead has a digit to represent ten, such as A." | large_corpus_distillation |
"Dependency grammar-Dependency vs. phrase structure-The distinction between dependency and phrase structure grammars derives in large part from the initial division of the clause. The phrase structure relation derives from an initial binary division, whereby the clause is split into a subject noun phrase (NP) and a pre... | large_corpus_distillation |
"Regular expression-Formal language theory-Regular expressions describe regular languages in formal language theory. They have the same expressive power as regular grammars.\nFormal definition Regular expressions consist of constants, which denote sets of strings, and operator symbols, which denote operations over thes... | large_corpus_distillation |
for encoding n+1 given values unambiguously by using variable-length sequences of binary values. In this interpretation, the code for a value is given by the sequence of left and right steps from a parent to the child on the path from the root to a leaf in the tree (e.g. with 0 for left and 1 for right). Unlike standa... | large_corpus_distillation |
"Dijkstra\u2013Scholten algorithm-Dijkstra\u2013Scholten algorithm-The Dijkstra\u2013Scholten algorithm (named after Edsger W. Dijkstra and Carel S. Scholten) is an algorithm for detecting termination in a distributed system. The algorithm was proposed by Dijkstra and Scholten in 1980.First, consider the case of a simp... | large_corpus_distillation |
"Oxygen XML Editor-XML editing features-Also, the program has support for XML catalogs. An XML catalog is an XML file of a specific format that maps a schema definition string to an actual file name on the disk or web. Using catalogs allows the user to specify a web address for a schema but allows oXygen to find a file... | large_corpus_distillation |
"SAPS II-Calculation-The calculation method results in a predicted mortality, that is pure statistics. It does not tell the individual patient's chance of survival. The main purpose of this calculation is to provide a value that can be averaged for a group of patients, since it gives very unprecise values to calculate ... | large_corpus_distillation |
"Shortest-path tree-Shortest-path tree-Construct the shortest-path tree using the edges between each node and its parent.The above algorithm guarantees the existence of shortest-path trees. Like minimum spanning trees, shortest-path trees in general are not unique.\nIn graphs for which all edge weights are equal, short... | large_corpus_distillation |
"Interquartile range-Algorithm-The IQR of a set of values is calculated as the difference between the upper and lower quartiles, Q3 and Q1. Each quartile is a median calculated as follows.\nGiven an even 2n or odd 2n+1 number of values first quartile Q1 = median of the n smallest values third quartile Q3 = median of th... | large_corpus_distillation |
"Polynomial greatest common divisor-General definition-The greatest common divisor of p and q is usually denoted \"gcd(p, q)\".\nThe greatest common divisor is not unique: if d is a GCD of p and q, then the polynomial f is another GCD if and only if there is an invertible element u of F such that f=ud and d=u\u22121f... | large_corpus_distillation |
"Syntactic parsing (computational linguistics)-Dependency parsing-Grammar-based A chart-based dynamic programming approach to projective dependency parsing was proposed by Michael Collins in 1996 and further optimised by Jason Eisner in the same year. This is an adaptation of CKY (previously mentioned for constituency ... | large_corpus_distillation |
say\" that there are two objects located at the same spacetime region. (Sider 2001:189) How can one predicate temporal properties of these momentary temporal parts? It is here that the C-relation comes in play. Sider proposed the sentence: \"Ted was once a boy.\" The truth condition of this sentence is that \"there exi... | large_corpus_distillation |
"Constraint satisfaction dual problem-Join graphs and join trees-Finding a join tree, if any, can be done exploiting the following property: if a dual graph has a join tree, then the maximal-weight spanning trees of the graph are all join trees, if edges are weighted by the number of variables the corresponding constra... | large_corpus_distillation |
"Subobject classifier-Further examples-Sheaves of sets The category of sheaves of sets on a topological space X has a subobject classifier \u03a9 which can be described as follows: For any open set U of X, \u03a9(U) is the set of all open subsets of U. The terminal object is the sheaf 1 which assigns the singleton {*} ... | large_corpus_distillation |
equation given up is K\u00d7(N+M). For the new approach of using spatial division, the total number of values in PCA/EOF representation is \u2211i=1nKi(M+Ni)=Ki\u2032N+M\u2211i=1nKi where Ki\u2032=\u2211i=1nKiNiN." | large_corpus_distillation |
"Scannerless parsing-Disadvantages-Since the lexical scanning and syntactic parsing are combined, the resulting parser tends to be more complicated and thus harder to understand and debug. The same will hold for the associated grammar, if a grammar is used to generate the parser.\nThe resulting parser tends to be signi... | large_corpus_distillation |
"Linear complementarity problem-Linear complementarity problem-In mathematical optimization theory, the linear complementarity problem (LCP) arises frequently in computational mechanics and encompasses the well-known quadratic programming as a special case. It was proposed by Cottle and Dantzig in 1968." | large_corpus_distillation |
"Output-sensitive algorithm-Examples-Computational geometry Convex hull algorithms for finding the convex hull of a finite set of points in the plane require \u03a9(n log n) time for n points; even relatively simple algorithms like the Graham scan achieve this lower bound. If the convex hull uses all n points, this is ... | large_corpus_distillation |
"Quantitative comparative linguistics-Types of analysis-Computerised mass comparison A method that has been suggested for initial inspection of a set of languages to see if they are related was mass comparison. However, this has been severely criticised and fell into disuse. Recently Kessler has resurrected a computeri... | large_corpus_distillation |
"Matrix splitting-Regular splittings-We seek to solve the matrix equation where A is a given n \u00d7 n non-singular matrix, and k is a given column vector with n components. We split the matrix A into where B and C are n \u00d7 n matrices. If, for an arbitrary n \u00d7 n matrix M, M has nonnegative entries, we write M... | large_corpus_distillation |
"Error detection and correction-Types of error detection-There are also other bit-grouping techniques.\nChecksum A checksum of a message is a modular arithmetic sum of message code words of a fixed word length (e.g., byte values). The sum may be negated by means of a ones'-complement operation prior to transmission to ... | large_corpus_distillation |
FOR NPV Number of false negatives Number of true negatives Number of false negatives Number of false negatives Number of negative calls Although sometimes used synonymously, a negative predictive value generally refers to what is established by control groups, while a negative post-test probability rather refers to a p... | large_corpus_distillation |
"Linear regression-Extensions-General linear models The general linear model considers the situation when the response variable is not a scalar (for each observation) but a vector, yi. Conditional linearity of E(y\u2223xi)=xiTB is still assumed, with a matrix B replacing the vector \u03b2 of the classical linear regre... | large_corpus_distillation |
problem in the virtual environment, it is often more cost-effective to just modify the scenario to be more tractable. If pathfinding gets bogged down over a specific obstacle, a developer may just end up moving or deleting the obstacle. In Half-Life (1998), the pathfinding algorithm sometimes failed to find a reasonabl... | large_corpus_distillation |
"Advanced level mathematics-Advanced level mathematics-Like other A-level subjects, mathematics has been assessed in a modular system since the introduction of Curriculum 2000, whereby each candidate must take six modules, with the best achieved score in each of these modules (after any retake) contributing to the fina... | large_corpus_distillation |
A proof of this identity is given below: p\u21aeq=(p\u2227\u00acq)\u2228(\u00acp\u2227q)=((p\u2227\u00acq)\u2228\u00acp)\u2227((p\u2227\u00acq)\u2228q)=((p\u2228\u00acp)\u2227(\u00acq\u2228\u00acp))\u2227((p\u2228q)\u2227(\u00acq\u2228q))=(\u00acp\u2228\u00acq)\u2227(p\u2228q)=\u00ac(p\u2227q)\u2227(p\u2228q) It is som... | large_corpus_distillation |
"Clustered file system-Distributed file systems-There are many peer-to-peer network protocols for open-source distributed file systems for cloud or closed-source clustered file systems, e. g.: 9P, AFS, Coda, CIFS/SMB, DCE/DFS, WekaFS, Lustre, PanFS, Google File System, Mnet, Chord Project.\nExamples" | large_corpus_distillation |
for itself what news needs to be out front, the blogging has its limitations as well. Because anyone can blog and can do so without editing from above with professional standards from the trade-craft, filtering the information down to its most essential components is often overlooked. Differences between traditional jo... | large_corpus_distillation |
"Indistinguishability obfuscation-History-Candidate constructions Barak et al. (2001) proved that an inefficient indistinguishability obfuscator exists for circuits; that is, the lexicographically first circuit that computes the same function. If P = NP holds, then an indistinguishability obfuscator exists, even though... | large_corpus_distillation |
So \u2212(0) is \u22120, but the sign of 0\u22120 depends on the rounding mode.\nscalb(y, N) logb(x) finite(x) a predicate for \"x is a finite value\", equivalent to \u2212Inf < x < Inf isnan(x) a predicate for \"x is a NaN\", equivalent to \"x \u2260 x\" x <> y, which turns out to have different behavior than NOT(x = ... | large_corpus_distillation |
"Generic programming-Programming language support for genericity-Kind-indexed types are types indexed over kinds, defined by giving a case for both * and k \u2192 k'. Instances are obtained by applying the kind-indexed type to a kind.\nGeneric definitions can be used by applying them to a type or kind. This is called g... | large_corpus_distillation |
terms to the entire chain.\nx\u2208S P(x,x)>0 x x\nSuppose that . If then (and hence the equivalence class of ) is aperiodic.\nProof\n1\u2208{n\u2208N :Pn(x,x)>0}\nBy assumption, + and hence the greatest common divisor of this set is 1.\nThe converse is not true, of course. A simple counterexample is given below.\nThe ... | large_corpus_distillation |
regression.\n...\nHOW TO\nGiven data of input and corresponding outputs from a linear function, find the best fit line using linear\nregression.\n1. Enter the input in List 1 (L1).\n2. Enter the output in List 2 (L2).\n3. On a graphing utility, select Linear Regression (LinReg).\nEXAMPLE4\nFinding a Least Squares Regre... | large_corpus_distillation |
gives confidence intervals for the distribution standard\n\u03c3\ndeviation .\nUse variance estimation experiment to explore the procedure. Select the normal distribution. Use various parameter values,\nconfidence levels, sample sizes, and interval types. For each configuration, run the experiment 1000 time. As the sim... | large_corpus_distillation |
( or ), also order 4, and finally the central group [2+,2+] ( or ) of order 2." | large_corpus_distillation |
"Toffoli gate-Background-An input-consuming logic gate L is reversible if it meets the following conditions: L(x) = y is a gate where for any output y, there is a unique input x.\nThe gate L is reversible if there is a gate L\u2032(y) = x which maps y to x.\nFrom common logic gates, NOT is reversible, as can be seen fr... | large_corpus_distillation |
"Opportunistic mobile social network-Opportunism in social networks-The GSMA estimates that as of January 2019, more than 5 billion people worldwide use mobile phones. That is more than half of the world's population. Most of the mobile phones in the current era are equipped with Wi-Fi, Bluetooth, cameras, sensors, and... | large_corpus_distillation |
relevance of brain size to intelligence hinge on the assumption that complex behavior requires a complex (and therefore intelligent) brain; however, this connection has not been consistently demonstrated.The surface area of a cat's cerebral cortex is approximately 83 cm2 (13 in2); furthermore, a theoretical cat weighin... | large_corpus_distillation |
reminded that this approach is of very limited applicability and may be quite misleading." | large_corpus_distillation |
"Matrix 2 of 5-Encoding-Matrix 2 of 5 is a subset of two-out-of-five codes family and uses wide and narrow elements for encoding. Unlike previously developed Industrial 2 of 5 it uses both black bars and white spaces for data encoding. However, it has lower density then Interleaved 2 of 5 code, because it is discrete s... | large_corpus_distillation |
quad-core) Four AMD K10 cores L1 cache: 64 KB instructions and 64 KB data per core L2 cache: 512 KB per core, full-speed L3 cache: 6 MB shared between all cores. The 800 series have 2 MB of its L3 Cache disabled due to defects." | large_corpus_distillation |
"Barrier transfer machine-Permanent locations-Moveable barriers are in permanent use in such cities as " | large_corpus_distillation |
"Bar product-Bar product-In information theory, the bar product of two linear codes C2 \u2286 C1 is defined as C1\u2223C2={(c1\u2223c1+c2):c1\u2208C1,c2\u2208C2}, where (a | b) denotes the concatenation of a and b. If the code words in C1 are of length n, then the code words in C1 | C2 are of length 2n.\nThe bar produc... | large_corpus_distillation |
"Distributed file system for cloud-Architectures-For that, the following hypotheses must be taken into account: High availability: the cluster can contain thousands of file servers and some of them can be down at any time A server belongs to a rack, a room, a data center, a country, and a continent, in order to precise... | large_corpus_distillation |
"Wing configuration-Number and position of main planes-Fixed-wing aircraft can have different numbers of wings: Monoplane: one wing plane. Since the 1930s most aeroplanes have been monoplanes. The wing may be mounted at various positions relative to the fuselage: Low wing: mounted near or below the bottom of the fusela... | large_corpus_distillation |
"Ed Baig-Publications-He has written a software book called Mac for Dummies." | large_corpus_distillation |
"PDF-File format-Objects may be either direct (embedded in another object) or indirect. Indirect objects are numbered with an object number and a generation number and defined between the obj and endobj keywords if residing in the document root. Beginning with PDF version 1.5, indirect objects (except other streams) ma... | large_corpus_distillation |
divide by zero, so the domain is the set of real numbers x such that x\u2260\u22122/5. To find the range, we\nneed to find the values y for which there exists a real number x such that\n1.2.11 https://math.libretexts.org/@go/page/2477" | large_corpus_distillation |
"Calgary corpus-Benchmarks-The Calgary corpus was a commonly used benchmark for data compression in the 1990s. Results were most commonly listed in bits per byte (bpb) for each file and then summarized by averaging. More recently, it has been common to just add the compressed sizes of all of the files. This is called a... | large_corpus_distillation |
"Wild branch-Wild branch-In computer programming, a wild branch is a GOTO instruction where the target address is indeterminate, random or otherwise unintended. It is usually the result of a software bug causing the accidental corruption of a pointer or array index. It is \"wild\" in the sense that it cannot be predict... | large_corpus_distillation |
"Unspecified behavior-Examples-Order of evaluation of subexpressions Many programming languages do not specify the order of evaluation of the sub-expressions of a complete expression. This non-determinism can allow optimal implementations for specific platforms e.g. to utilise parallelism. If one or more of the sub-exp... | large_corpus_distillation |
"Natural language processing-Common NLP tasks-Syntactic analysis Grammar induction Generate a formal grammar that describes a language's syntax.\nSentence breaking (also known as \"sentence boundary disambiguation\") Given a chunk of text, find the sentence boundaries. Sentence boundaries are often marked by periods or... | large_corpus_distillation |
"Inter-server-Protocols-Protocols that have inter-server functions as well as the regular client\u2013server communications include the following: IPsec, secure network protocol that can be used to secure a host-to-host connection The domain name system (DNS), which uses an inter-server protocol for zone transfers; Th... | large_corpus_distillation |
none of the period 8 elements has been discovered yet, and it is also possible, due to drip instabilities, that only the lower period 8 elements, up to around element 128, are physically possible. No attempts at synthesis have been made for any heavier alkali metals: due to their extremely high atomic number, they woul... | large_corpus_distillation |
"Monoid ring-Universal property-Given R and G, there is a ring homomorphism \u03b1: R \u2192 R[G] sending each r to r1 (where 1 is the identity element of G), and a monoid homomorphism \u03b2: G \u2192 R[G] (where the latter is viewed as a monoid under multiplication) sending each g to 1g (where 1 is the multiplicative... | large_corpus_distillation |
"Expected value-Definition-Any definition of expected value may be extended to define an expected value of a multidimensional random variable, i.e. a random vector X. It is defined component by component, as E[X]i = E[Xi]. Similarly, one may define the expected value of a random matrix X with components Xij by E[X]ij =... | large_corpus_distillation |
"Inversion (discrete mathematics)-Inversion (discrete mathematics)-In computer science and discrete mathematics, an inversion in a sequence is a pair of elements that are out of their natural order." | large_corpus_distillation |
"Floating-point unit-Floating-point library-Some floating-point hardware only supports the simplest operations: addition, subtraction, and multiplication. But even the most complex floating-point hardware has a finite number of operations it can support \u2013 for example, no FPUs directly support arbitrary-precision a... | large_corpus_distillation |
may also be granted permission to \"do what they like with\" their own images." | large_corpus_distillation |
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