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"XSB-Syntax-XSB supports several standard programming language data types such as Integers, Floating Point numbers, and Atoms.\nIntegers in XSB can be interpreted in multiple bases. By default integers are interpreted in base 10 but can be interpreted in a range of bases from 2 to 36.Atoms are similar to Strings. They ... | large_corpus_distillation |
"Multiplicative group of integers modulo n-Structure-The order of the multiplicative group of integers modulo n is the number of integers in {0,1,\u2026,n\u22121} coprime to n.\nIt is given by Euler's totient function: |(Z/nZ)\u00d7|=\u03c6(n) (sequence A000010 in the OEIS).\nFor prime p, \u03c6(p)=p\u22121 Cyclic c... | large_corpus_distillation |
"Global surveillance by category-Suggested protective measures from surveillance-Encryption In cryptography, encryption is the process of encoding information in such a way that eavesdroppers or hackers cannot read it, but that authorized parties can. According to Snowden's recommendations published by The Guardian Edw... | large_corpus_distillation |
"1 2 1 1 1\nS = + > + =2( )\n2 2 3 2 2 2\n1 2 3 1 1 1 1\nS = + + > + + =3( )\n3 2 3 4 2 2 2 2\n1 2 3 4 1 1 1 1 1\nS = + + + > + + + =4( ).\n4 2 3 4 5 2 2 2 2 2\nFrom this pattern we can see that S k >k(1 2 ) for every integer k. Therefore, S k is unbounded and consequently, diverges.\n\u221e n\nTherefore, the infinite ... | large_corpus_distillation |
that we are sending messages through the channel with index ranging from 1 to M , the number of distinct possible messages. If we encode the M messages to n bits, then we define the rate R as: log \u2061Mn A rate is said to be achievable if there is a sequence of codes so that the maximum probability of error tend... | large_corpus_distillation |
"Salt water chlorination-Benefits and disadvantages-The benefits of salt systems in pools are the convenience and the constant delivery of pure chlorine-based sanitizer. The reduction of irritating chloramines versus traditional chlorinating methods and the \"softening\" effect of electrolysis reducing dissolved alkali... | large_corpus_distillation |
"Reed\u2013Solomon error correction-Applications-Any combination of K codewords received at the other end is enough to reconstruct all of the N codewords. The code rate is generally set to 1/2 unless the channel's erasure likelihood can be adequately modelled and is seen to be less. In conclusion, N is usually 2K, mean... | large_corpus_distillation |
"Cluster analysis-Evaluation and assessment-External evaluation In external evaluation, clustering results are evaluated based on data that was not used for clustering, such as known class labels and external benchmarks. Such benchmarks consist of a set of pre-classified items, and these sets are often created by (expe... | large_corpus_distillation |
"Commitment ordering-The commitment ordering solution for global serializability-Global cycle elimination (here voting-deadlock resolution by atomic commitment) and resulting aborted transactions' re-executions are time-consuming, regardless of concurrency control used. If databases schedule transactions independently,... | large_corpus_distillation |
"Brain Fuck Scheduler-Theoretical design and efficiency-The execution behavior is still a weighted variation of the Round-Robin Scheduler especially when tasks have the same priority below the Isochronous policy.:\u200aln 1193-1195,\u200a334\u2013335\u200a The user tuneable round robin interval (time slice) is 6 millis... | large_corpus_distillation |
"Rainbow table-Defense against rainbow tables-Another technique that helps prevent precomputation attacks is key stretching. When stretching is used, the salt, password, and some intermediate hash values are run through the underlying hash function multiple times to increase the computation time required to hash each p... | large_corpus_distillation |
"Random element-Random element-In probability theory, random element is a generalization of the concept of random variable to more complicated spaces than the simple real line. The concept was introduced by Maurice Fr\u00e9chet (1948) who commented that the \u201cdevelopment of probability theory and expansion of area ... | large_corpus_distillation |
"Influence diagram-Applicability to value of information-Scenario 3: The decision-maker makes their decision without even knowing the Weather Forecast. This corresponds to removing informational arc from Weather Forecast to Vacation Activity in the above influence diagram.Scenario 1 is the best possible scenario for th... | large_corpus_distillation |
"Challenge\u2013response spam filtering-Criticisms-False positives C/R advocates claim that such systems have a lower rate of false positives than other systems for automatically filtering unsolicited bulk email.Critics argue that typical users of C/R systems still need to review their challenged mail regularly, lookin... | large_corpus_distillation |
"Natural language processing-Common NLP tasks-Natural-language understanding (NLU) Convert chunks of text into more formal representations such as first-order logic structures that are easier for computer programs to manipulate. Natural language understanding involves the identification of the intended semantic from th... | large_corpus_distillation |
a range of lasers within the design range of the device." | large_corpus_distillation |
in Taiwan, and hog weight in Montana, all together. The James\u2013Stein estimator always improves upon the total MSE, i.e., the sum of the expected squared errors of each component. Therefore, the total MSE in measuring light speed, tea consumption, and hog weight would improve by using the James\u2013Stein estimator.... | large_corpus_distillation |
"Stern prime-Stern prime-There also exist odd composite Stern numbers: the only known ones are 5777 and 5993. Goldbach once incorrectly conjectured that all Stern numbers are prime. (See OEIS: A060003 for odd Stern numbers) Christian Goldbach conjectured in a letter to Leonhard Euler that every odd integer is of the fo... | large_corpus_distillation |
"Classic Mac OS memory management-Memory leaks and stale references-Awareness and discipline are also necessary to avoid memory \"leaks\" (failure to deallocate within the scope of the allocation) and to avoid references to stale handles after release (which usually resulted in a hard crash\u2014annoying on a single-ta... | large_corpus_distillation |
"Algorithms for Recovery and Isolation Exploiting Semantics-Recovery-Redo From the DPT, we can compute the minimal Sequence Number of a dirty page. From there, we have to start redoing the actions until the crash, in case they weren't persisted already." | large_corpus_distillation |
"X-inefficiency-X-inefficiency-The difference between the potential and actual cost is known as X-Inefficiency. In normal instances, a firm could have an average cost curve at potential AC, however due to inefficiency, its actual average costs are higher." | large_corpus_distillation |
"Library of Efficient Data types and Algorithms-Technical details-Data types Numerical representations LEDA provides four additional numerical representations alongside those built-in to C++: integer, rational, bigfloat, and real: LEDA's integer type offers an improvement over the built-in int datatype by eliminating t... | large_corpus_distillation |
to the development of artificial intelligence and social bots. And as information and thought see a progressive mass spreading on social media websites, innovative technological advancements are made following the same pattern.Reports of political interferences in recent elections, including the 2016 US and 2017 UK gen... | large_corpus_distillation |
"Linux Unified Key Setup-On-disk format-LUKS1 LUKS2 LUKS2 devices begin with a binary header intended to allow recognition and fast detection by blkid, which also contains information such as checksums. All strings used in a LUKS2 header are null-terminated strings. Directly after the binary header comes the JSON area,... | large_corpus_distillation |
"100,000,000-100,000,000-100,000,000 is also the fourth power of 100 and also the square of 10000." | large_corpus_distillation |
"MIPI Debug Architecture-The term \"debug\"-Stop/step mode debugging In stop/step mode debugging, the core/microcontroller is stopped through the use of breakpoints and then \"single-stepped\" through the code by executing instructions one at a time. If the other cores/microcontrollers of the SoC have finished synchron... | large_corpus_distillation |
"Exception safety-Background-An exception is thrown and control \"bubbles up\", skipping the rest of the operation's code that would restore the invariant The exception is caught and recovered from, or a finally block is entered The data structure with broken invariant is used by code that assumes the invariant, result... | large_corpus_distillation |
"Cromwell's rule-Bayesian divergence (pessimistic)-An example of Bayesian divergence of opinion is based on Appendix A of Sharon Bertsch McGrayne's 2011 book. Tim and Susan disagree as to whether a stranger who has two fair coins and one unfair coin (one with heads on both sides) has tossed one of the two fair coins or... | large_corpus_distillation |
Also there is the concept of a specification precondition \u2013 the before section establishes the preconditions that the specification is based on." | large_corpus_distillation |
"Weibull distribution-Related distributions-A Weibull distribution is a generalized gamma distribution with both shape parameters equal to k." | large_corpus_distillation |
"Machine epsilon-Values for standard hardware arithmetics-The following table lists machine epsilon values for standard floating-point formats. Each format uses round-to-nearest." | large_corpus_distillation |
"The Cambridge Handbook of Phonology-The Cambridge Handbook of Phonology-The Cambridge Handbook of Phonology is a 2007 book edited by Paul de Lacy in which the authors deal with different aspects of phonological research in the generative grammar. Michael Kenstowicz, Sabine Zerbian and Jennifer L. Smith have reviewed t... | large_corpus_distillation |
"Feature scaling-Methods-Rescaling (min-max normalization) Also known as min-max scaling or min-max normalization, rescaling is the simplest method and consists in rescaling the range of features to scale the range in [0, 1] or [\u22121, 1]. Selecting the target range depends on the nature of the data. The general form... | large_corpus_distillation |
classifiers: kNN, C4.5 and SVM RBF Kernel. This set achieves better performance than each basic classifier taken separately. It is compared with two other sets of classifiers: one-against-all (OAA) multiclass SVM with Hybrid kernels and the set of classifiers which consists of the following two basic classifiers: C5.0 ... | large_corpus_distillation |
"Suffix tree clustering-Suffix tree clustering-Suffix Tree Clustering, often abbreviated as STC is an approach for clustering that uses suffix trees. A suffix tree cluster keeps track of all n-grams of any given length to be inserted into a set word string, while simultaneously allowing differing strings to be inserted... | large_corpus_distillation |
"Spectre (security vulnerability)-Spectre (security vulnerability)-Spectre refers to one of the two original transient execution CPU vulnerabilities (the other being Meltdown), which involve microarchitectural timing side-channel attacks. These affect modern microprocessors that perform branch prediction and other form... | large_corpus_distillation |
"Cache replacement policies-Policies-In the TLRU algorithm, when a piece of content arrives, a cache node calculates the local TTU value based on the TTU value assigned by the content publisher. The local TTU value is calculated by using a locally defined function. Once the local TTU value is calculated the replacement... | large_corpus_distillation |
"Coverage data-Industry Terminology: GIS format-Early GIS systems were often characterised as either 'raster' or 'vector' systems, depending on the underlying approach to handling geometry. Raster GIS could be interpreted as using a regular discrete coverage model, while Vector GIS are more feature-oriented. The term \... | large_corpus_distillation |
"Anti-unification (computer science)-First-order syntactical anti-unification-Plotkin has given an algorithm to compute the lgg of two given terms.\nIt presupposes an injective mapping \u03d5:T\u00d7T\u27f6V , that is, a mapping assigning each pair s,t of terms an own variable \u03d5(s,t) , such that no two pairs sh... | large_corpus_distillation |
sequence as long as they are connected to the system." | large_corpus_distillation |
"Matching pennies-Laboratory experiments-Human players do not always play the equilibrium strategy. Laboratory experiments reveal several factors that make players deviate from the equilibrium strategy, especially if matching pennies is played repeatedly: Humans are not good at randomizing. They may try to produce \"ra... | large_corpus_distillation |
"Cache (computing)-Buffer vs. cache-A buffer is a temporary memory location that is traditionally used because CPU instructions cannot directly address data stored in peripheral devices. Thus, addressable memory is used as an intermediate stage. Additionally, such a buffer may be feasible when a large block of data is ... | large_corpus_distillation |
or the delete-all-but-2 Hodges\u2013Lehmann estimator, overcome this problem for the medians and quantiles by relaxing the smoothness requirements for consistent variance estimation." | large_corpus_distillation |
"Syntax (programming languages)-Levels of syntax-The levels generally correspond to levels in the Chomsky hierarchy. Words are in a regular language, specified in the lexical grammar, which is a Type-3 grammar, generally given as regular expressions. Phrases are in a context-free language (CFL), generally a determinist... | large_corpus_distillation |
"Subtract a square-Mis\u00e8re game-Subtract-a-square can also be played as a mis\u00e8re game, in which the player to make the last subtraction loses. The recursive algorithm to determine 'hot' and 'cold' numbers for the mis\u00e8re game is the same as that for the normal game, except that for the mis\u00e8re game the... | large_corpus_distillation |
"Line code-Disparity-Use a scrambler. For example, the scrambler specified in RFC 2615 for 64b/66b encoding." | large_corpus_distillation |
"Secure transmission-Secure transmission-In computer science, secure transmission refers to the transfer of data such as confidential or proprietary information over a secure channel. Many secure transmission methods require a type of encryption. The most common email encryption is called PKI. In order to open the encr... | large_corpus_distillation |
"Low-discrepancy sequence-Construction of low-discrepancy sequences-In more than one dimension, separate quasirandom numbers are needed for each dimension. A convenient set of values that are used, is the square roots of primes from two up, all taken modulo 1: 11 ,\u2026 However, a set of values based on the generalise... | large_corpus_distillation |
for a are chosen to have large prime factors of similar size so that they cannot be factored by any publicly known method in a useful time period on any available computer system or computer cluster such as supercomputers and computer grids. The largest cryptography-grade number that has been factored is RSA-250, a 250... | large_corpus_distillation |
be referred to as \u201cUbiquitin-dependent\" or \u201cUbiquitin-independent\"." | large_corpus_distillation |
"Stack (abstract data type)-Applications of stacks-Almost all calling conventions\u200d\u2014\u200cthe ways in which subroutines receive their parameters and return results\u200d\u2014\u200cuse a special stack (the \"call stack\") to hold information about procedure/function calling and nesting in order to switch to th... | large_corpus_distillation |
"CAR and CDR-CAR and CDR-In computer programming, CAR (car) (listen) and CDR (cdr) ( (listen) or (listen)) are primitive operations on cons cells (or \"non-atomic S-expressions\") introduced in the Lisp programming language. A cons cell is composed of two pointers; the car operation extracts the first pointer, and the ... | large_corpus_distillation |
"Dragon protocol-Transitions-Bus-initiated transitions Based on the current state of the block and the transaction initiated by the bus, the cache block undergoes one of the following state transitions: If the cache block is in Modified, and a Bus Read (BusRd) is issued, a Flush is issued to update the main memory and ... | large_corpus_distillation |
"Random number generator attack-Attacks-State compromise extension attacks when the internal secret state of the RNG is known at some time, use this to predict future output or to recover previous outputs. This can happen when a generator starts up and has little or no entropy (especially if the computer has just been ... | large_corpus_distillation |
"SPECint-SPECint-SPECint is a computer benchmark specification for CPU integer processing power. It is maintained by the Standard Performance Evaluation Corporation (SPEC). SPECint is the integer performance testing component of the SPEC test suite. The first SPEC test suite, CPU92, was announced in 1992. It was follow... | large_corpus_distillation |
etc. Auxiliary information plays a significant role in a variety of aspects. Explicit social links, as a reliable representative of trust or friendship, is always employed in similarity calculation to find similar persons who share interest with the target user. The interaction-associated information \u2013 tags \u2013... | large_corpus_distillation |
"Drink mixer-Caffeinated beverages-Caffeine, a stimulant, masks some of the depressant effects of alcohol.\nCoffee Energy drinks \u2013 Red Bull, etc.\nIced tea, sweetened \u2013 Lipton BRISK, Nestea, etc." | large_corpus_distillation |
"Ambiguity-Linguistic forms-Ambiguity in human language is argued to reflect principles of efficient communication. Languages that communicate efficiently will avoid sending information that is redundant with information provided in the context. This can be shown mathematically to result in a system which is ambiguous ... | large_corpus_distillation |
"Phrase-Heads and dependents-In the following phrases the head-word, or head, is bolded: too slowly \u2014 Adverb phrase (AdvP); the head is an adverb very happy \u2014 Adjective phrase (AP); the head is an adjective the massive dinosaur \u2014 Noun phrase (NP); the head is a noun (but see below for the determiner phra... | large_corpus_distillation |
"Technology integration-Examples of activities-WebQuests It is an inquiry oriented activity in which most or all of the information used by the learners which are drawn out by the internet/web. It is designed to use learner 'time well', to focus on using information rather than on looking for it and to support the lear... | large_corpus_distillation |
"Jakarta Servlet-Life cycle of a servlet-Finally, the web container calls the destroy() method that takes the servlet out of service. The destroy() method, like init(), is called only once in the lifecycle of a servlet.The following is a typical user scenario of these methods.\nAssume that a user requests to visit a UR... | large_corpus_distillation |
"Continuous integration-Rationale-The longer development continues on a branch without merging back to the mainline, the greater the risk of multiple integration conflicts and failures when the developer branch is eventually merged back. When developers submit code to the repository they must first update their code to... | large_corpus_distillation |
"Book collecting-Sources-New books are readily available from bookstores and online." | large_corpus_distillation |
"Rapid application development-Disadvantages-Poor design. The focus on prototypes can be taken too far in some cases resulting in a \"hack and test\" methodology where developers are constantly making minor changes to individual components and ignoring system architecture issues that could result in a better overall de... | large_corpus_distillation |
"Merkle tree-Uses-Hash trees can be used to verify any kind of data stored, handled and transferred in and between computers. They can help ensure that data blocks received from other peers in a peer-to-peer network are received undamaged and unaltered, and even to check that the other peers do not lie and send fake bl... | large_corpus_distillation |
this time gap equivalence is commonly a distance 7.5 seconds away at the design speed. Longer gaps are required for trucks and buses, and for multilane roads. Generally, the public right-of-way should include and maintain this line-of-sight." | large_corpus_distillation |
or enclosed school sponsored events for grades K-12. (12) Retail establishments, excluding restaurants, except areas in retail establishments not open to the public. (13) Lobbies, hallways, and other common areas in multiple-unit commercial facilities. (b) If a smoking area is designated, existing physical barriers and... | large_corpus_distillation |
"Map analysis-Map analysis-A map analysis is a study regarding map types, i.e. political maps, military maps, contour lines etc., and the unique physical qualities of a map, i.e. scale, title, legend etc.\nIt is also a way of decoding the message and symbols of the map and placing it within its proper spatial and cultu... | large_corpus_distillation |
"Propositional formula-Propositional connectives-Arbitrary propositional formulas are built from propositional variables and other propositional formulas using propositional connectives. Examples of connectives include: The unary negation connective. If \u03b1 is a formula, then \u00ac\u03b1 is a formula.\nThe classi... | large_corpus_distillation |
"Controlled vocabulary-Indexing languages-There are three main types of indexing languages." | large_corpus_distillation |
"Bipartite dimension-Computing the bipartite dimension-Here, for a family S={S1,\u2026,Sn} of subsets of a finite set U a set basis for S is another family of subsets B={B1,\u2026,B\u2113} of U , such that every set Si can be described as the union of some basis elements from B . The set basis problem is now giv... | large_corpus_distillation |
excessive paging. This condition, known as thrashing, usually renders the computer unusable until some programs are closed or the machine is rebooted. Due to these reasons, an out-of-memory message is rarely encountered by applications with modern computers.It is, however, still possible to encounter an OOM condition w... | large_corpus_distillation |
"Tornado-Intensity and damage-The Fujita scale and the Enhanced Fujita Scale rate tornadoes by damage caused. The Enhanced Fujita (EF) Scale was an update to the older Fujita scale, by expert elicitation, using engineered wind estimates and better damage descriptions. The EF Scale was designed so that a tornado rated o... | large_corpus_distillation |
"Morphology (linguistics)-Fundamental concepts-Prosodic word vs. morphological word Here are examples from other languages of the failure of a single phonological word to coincide with a single morphological word form. In Latin, one way to express the concept of 'NOUN-PHRASE1 and NOUN-PHRASE2' (as in \"apples and orang... | large_corpus_distillation |
"Specified complexity-Specificity-According to Dembski, the number of such \"replicational resources\" can be bounded by \"the maximal number of bit operations that the known, observable universe could have performed throughout its entire multi-billion year history\", which according to Lloyd is 10120." | large_corpus_distillation |
"Mobile marketing-Privacy concerns-Mobile advertising has become more and more popular. However, some mobile advertising is sent without a required permission from the consumer causing privacy violations. It should be understood that irrespective of how well advertising messages are designed and how many additional pos... | large_corpus_distillation |
"7.2 \u2022 Systems of Linear Equations: Three Variables 831\n7.2 SECTION EXERCISES\nVerbal\n1. Can a linear system of three 2. If a given ordered triple 3. If a given ordered triple\nequations have exactly two solves the system of does not solve the system of\nsolutions? Explain why or equations, is that solution equa... | large_corpus_distillation |
Retrieved 14 February 2013.\nSmith, Barry. \"Universal Core Semantic Layer\" Presentation, National Center for Ontological Research, University at Buffalo, 11 October 2009. Retrieved 14 February 2013." | large_corpus_distillation |
each other and allowed to diverge from each other radically. For example, in a text editor, the model might best be a piece table (instead of, say, a gap buffer or a linked list of lines). But, the user interface should present the final resting state of the edits on the file, not some direct information-overload prese... | large_corpus_distillation |
"\u266fP-completeness of 01-permanent-Ben-Dor and Halevi's proof-A=[2\u22122\u221221] Perm 6.\nHere, n=2 , \u03bc=2 , and \u03bcn=4 , so 17 . Thus mod 15 15 1].\nNote how the elements are non-negative because of the modular arithmetic. It is simple to compute the permanent Perm 15 15 227 so 227 mod 17=6 . Then P<... | large_corpus_distillation |
"452 5 \u2022 Polynomial and Rational Functions\nEXAMPLE9\nUsing the Intermediate Value Theorem\nShow that the function has at least two real zeros between and\nSolution\nAs a start, evaluate at the integer values and SeeTable 2.\n1 2 3 4\n5 0 \u20133 2\nTable2\nWe see that one zero occurs at Also, since is negative an... | large_corpus_distillation |
"Proper linear model-Proper linear model-In statistics, a proper linear model is a linear regression model in which the weights given to the predictor variables are chosen in such a way as to optimize the relationship between the prediction and the criterion. Simple regression analysis is the most common example of a p... | large_corpus_distillation |
with patches and updates leaves more than 87% of active Android devices vulnerable." | large_corpus_distillation |
"HEAAN-Algorithms-The CKKS scheme basically consists of those algorithms: key Generation, encryption, decryption, homomorphic addition and multiplication, and rescaling. For a positive integer q , let := R/qR be the quotient ring of R modulo q . Let \u03c7s , \u03c7r and \u03c7e be distributions over R which ou... | large_corpus_distillation |
the set of all prime ideals that contain a fixed ideal." | large_corpus_distillation |
"Naive Bayes classifier-Parameter estimation and event models-Gaussian naive Bayes When dealing with continuous data, a typical assumption is that the continuous values associated with each class are distributed according to a normal (or Gaussian) distribution. For example, suppose the training data contains a continuo... | large_corpus_distillation |
"Lists of stars-By name-List of proper names of stars List of Arabic star names Chinese star names Stars named after people " | large_corpus_distillation |
"Ra\u00fal Rabad\u00e1n-Career-Rabadan is an expert on mathematical approaches to biological systems, genomics of cancer and infectious diseases. He received his PhD in string theory phenomenology, specifically the physics of string compactifications and intersecting D-brane configurations in the Universidad Autonoma d... | large_corpus_distillation |
the letter frequency distribution for the counted letters." | large_corpus_distillation |
"LP-type problem-Algorithms-Clarkson Clarkson (1995) defines two algorithms, a recursive algorithm and an iterative algorithm, for linear programming based on random sampling techniques, and suggests a combination of the two that calls the iterative algorithm from the recursive algorithm. The recursive algorithm repeat... | large_corpus_distillation |
"Arithmetic circuit complexity-Definitions-An arithmetic circuit C over the field F and the set of variables x1,\u2026,xn is a directed acyclic graph as follows. Every node in it with indegree zero is called an input gate and is labeled by either a variable xi or a field element in F.\nEvery other gate is labeled ... | large_corpus_distillation |
"Commuting matrices-Characterizations and properties-Two Hermitian matrices commute if their eigenspaces coincide. In particular, two Hermitian matrices without multiple eigenvalues commute if they share the same set of eigenvectors. This follows by considering the eigenvalue decompositions of both matrices. Let A and... | large_corpus_distillation |
"Differential form-Concept-Since any vector v is a linear combination \u03a3 vjej of its components, df is uniquely determined by dfp(ej) for each j and each p \u2208 U, which are just the partial derivatives of f on U. Thus df provides a way of encoding the partial derivatives of f. It can be decoded by noticing that ... | large_corpus_distillation |
"With high probability-Applications-Some examples where this term is used are: Miller\u2013Rabin primality test: a probabilistic algorithm for testing whether a given number n is prime or composite. If n is composite, the test will detect n as composite WHP. There is a small chance that we are unlucky and the test will... | large_corpus_distillation |
"Pythagorean triple-Elementary properties of primitive Pythagorean triples-Any odd number of the form 2m+1, where m is an integer and m>1, can be the odd leg of a primitive Pythagorean triple [PPT]. See almost-isosceles PPT section below. However, only even numbers divisible by 4 can be the even leg of a PPT. This is b... | large_corpus_distillation |
"Round-off error-Accumulation of roundoff error-Ill-conditioned problems Even if a stable algorithm is used, the solution to a problem may still be inaccurate due to the accumulation of roundoff error when the problem itself is ill-conditioned." | large_corpus_distillation |
"Distribution (differential geometry)-Special classes of distributions-Involutive distributions Given a distribution \u0394 , its sections consist of the vector fields which are tangent to \u0394\u2282TM , and they form a vector subspace \u0393(\u0394)\u2286\u0393(TM)=X(M) of the space of all vector fields on M . A... | large_corpus_distillation |
"Heapsort-Variations-Bottom-up heapsort instead finds the path of largest children to the leaf level of the tree (as if it were inserting \u2212\u221e) using only one comparison per level. Put another way, it finds a leaf which has the property that it and all of its ancestors are greater than or equal to their sibling... | large_corpus_distillation |
"Predictive text-Disambiguation failure and misspelling-Textonyms are not the only issue limiting the effectiveness of predictive text implementations. Another significant problem are words for which the disambiguation produces a single, incorrect response. The system may, for example, respond with Blairf upon input of... | large_corpus_distillation |
"De Bruijn\u2013Erd\u0151s theorem (graph theory)-Definitions and statement-An undirected graph is a mathematical object consisting of a set of vertices and a set of edges that link pairs of vertices. The two vertices associated with each edge are called its endpoints. The graph is finite when its vertices and edges fo... | large_corpus_distillation |
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