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"Zermelo\u2013Fraenkel set theory-Axioms-8. Axiom of power set By definition, a set z is a subset of a set x if and only if every element of z is also an element of x :(z\u2286x)\u21d4(\u2200q(q\u2208z\u21d2q\u2208x)).\nThe Axiom of Power Set states that for any set x , there is a set y that contains every subset... | large_corpus_distillation |
is built the right way, such as unit tests, component or technical integration tests) or tests that evaluate a product after it was developed (such as security penetration tests)." | large_corpus_distillation |
"Playlist-Computers and the Internet-Several computer playlist formats for multimedia players, such as PLS, can pass a playlist or URL to the player. In the case of radio stations it can also link many audio players directly to the station's live streaming audio, bypassing any need for a web browser. (In that case, the... | large_corpus_distillation |
the system will rise, the process is said to be \"irreversible\", and the work added to the system is not entirely recoverable in the form of work." | large_corpus_distillation |
"String literal-Syntax-Advantages: eliminates text searching (for the delimiter character) and therefore requires significantly less overhead avoids the problem of delimiter collision enables the inclusion of metacharacters that might otherwise be mistaken as commands can be used for quite effective data compression of... | large_corpus_distillation |
"Google Ngram Viewer-Google Ngram Viewer-The Google Ngram Viewer or Google Books Ngram Viewer is an online search engine that charts the frequencies of any set of search strings using a yearly count of n-grams found in printed sources published between 1500 and 2019 in Google's text corpora in English, Chinese (simplif... | large_corpus_distillation |
"Object-based spatial database-Data model representation-Entity\u2013Relationship GraphDB Represents a framework of objects as classes that are partitioned into three kinds of classes: simple classes, link classes, and path classes. Objects of a simple class are on the one hand just like objects in other models. They h... | large_corpus_distillation |
only in terms of prediction errors during task performance: \u2202Etotal(YVP,XSN,xCN,yKN)\u2202ymnSN=xmnCN\u2212bCN\u03b5nmCN+bCN\u2211k(\u03b5knmKN) where Etotal is the total energy function of the neural networks entail, and \u03b5knmKN is the prediction error between the generative model (prior) and posterior chan... | large_corpus_distillation |
"History of mobile phones-Early generations-The high connection speeds of 3G technology enabled a transformation in the industry: for the first time, media streaming of radio (and even television) content to 3G handsets became possible, with companies such as RealNetworks and Disney among the early pioneers in this typ... | large_corpus_distillation |
"Pr\u00eat \u00e0 Voter-Origin-Pr\u00eat \u00e0 Voter was inspired by the earlier, voter-verifiable scheme by David Chaum. It replaces the visual cryptographic encoding the voter's choice in Chaum's scheme by the conceptually and technologically simpler candidate randomization. The Pr\u00eat \u00e0 Voter idea of encodi... | large_corpus_distillation |
by the standard matrix product x\u2192=a\u2192G where the summing operation is done modulo-2.\nFor example, let a\u2192=[1,0,1,1] . Using the generator matrix G from above, we have (after applying modulo 2, to the sum), x\u2192=a\u2192G=(1011)(1000110010010100100110001111)=(1011232)=(1011010) [8,4] Hamming code with... | large_corpus_distillation |
"Stable roommates problem-Algorithm-1 \u2192 3 2 \u2192 6 3 \u2192 2 4 \u2192 5 5 \u2192 3; 3 \u00d7 1 1 \u2192 4 6 \u2192 5; 5 \u00d7 6 6 \u2192 1 So Phase 1 ends with the following reduced preference lists: (for example we cross out 5 for 1: because 1: gets at least 6) 1 : 3 4 2 6 5 2 : 6 5 4 1 3 3 : 2 4 5 1... | large_corpus_distillation |
"Logical form-Importance of argument form-Coco is an animal.\nTherefore, Coco is a dog.Denying the antecedent All cats are animals.\nMissy is not a cat." | large_corpus_distillation |
"Algebraic Eraser-Key establishment protocol-Each party must have a key pair derived from the keyset, consisting of a private key (e.g., in the case of Alice) (mA,Ba) where mA is a randomly selected polynomial of the seed matrix mA=\u2211i=0N\u22121aiM\u2217i and a braid, which is a randomly selected set of conjugat... | large_corpus_distillation |
"Unavoidable pattern-Graph pattern avoidance-Similarly, a vertex coloring c:V\u2192\u0394 matches pattern p if there exists a simple path P=[c1,c2,...,cr] in G such that the sequence c(P) matches p Pattern chromatic number The pattern chromatic number \u03c0p(G) is the minimal number of distinct colors needed fo... | large_corpus_distillation |
"Television encryption-Older television encryption systems-There was also a version that encrypted the audio using a digital audio stream in the horizontal blanking interval like the VCII system. One US network used that for its affiliate feeds and would turn off the analog sub carriers on the satellite feed.\nB-MAC B-... | large_corpus_distillation |
"var(Y \u2223X)=E(Y2\u2223X)\u2212[E(Y \u2223X)]2 .\nProof\nExpanding the square in the definition and using basic properties of conditional expectation, we have\nvar(Y \u2223X) =E(Y2\u22122YE(Y \u2223X)+[E(Y \u2223X)]2\u2223 \u2223X)=E(Y2\u2223X)\u22122E[YE(Y \u2223X)\u2223X]+E([E(Y \u2223X)]2\u2223X) (4.7.25)\n\u2223... | large_corpus_distillation |
"Spatial relation-Relations by class-Reference objects represented by a bounding box or another kind of \"spatial envelope\" that encloses its borders, can be denoted with the maximum number of dimensions of this envelope: '0' for punctual objects, '1' for linear objects, '2' for planar objects, '3' for volumetric obje... | large_corpus_distillation |
"Moment.me-General information-Moment.me claimed to have an image database of over 4.5 billion items and a growth rate of more than 50 million photos per day, relying on cross-app connectivity and a non-dependency approach, plus the ability to take pictures directly from the moment.me app.The company employed textual a... | large_corpus_distillation |
"Oracle attack-Oracle attack-In the field of security engineering, an oracle attack is an attack that exploits the availability of a weakness in a system that can be used as an \"oracle\" to give a simple go/no go indication to inform attackers how close they are to their goals. The attacker can then combine the oracle... | large_corpus_distillation |
polynomials f and g is the polynomial red red lc lm lc lm \u2061(f)gcdg, where lcm and gcd denote respectively the least common multiple and the greatest common divisor of the leading monomials of f and g.\nAs the monomials that are reducible by both f and g are exactly the multiples of lcm, one can deal with all case... | large_corpus_distillation |
"Software development security-Software development challenges-Software, environmental, and hardware controls are required although they cannot prevent problems created from poor programming practice. Using limit and sequence checks to validate users\u2019 input will improve the quality of data. Even though programmers... | large_corpus_distillation |
"CHAPTER OVERVIEW\n14: Differentiation of Functions of Several Variables\nWhen dealing with a function of more than one independent variable, several questions naturally arise. For example, how do we\ncalculate limits of functions of more than one variable? The definition of derivative we used before involved a limit. ... | large_corpus_distillation |
"Cayley table-Permutation matrix generation-This shows us directly that any group of order n is a subgroup of the permutation group Sn, order n!." | large_corpus_distillation |
"Transliteracy-Transliteracy in Education-Transliteracy is making an impact on the classroom setting because of how technologically advanced younger generations are today. In 2012, Adam Marcus, a teacher and librarian at NYCDOE, decided to incorporate transliteracy into his school's public library summer reading progra... | large_corpus_distillation |
"Correlation-Other measures of dependence among random variables-Distance correlation was introduced to address the deficiency of Pearson's correlation that it can be zero for dependent random variables; zero distance correlation implies independence.\nThe Randomized Dependence Coefficient is a computationally efficien... | large_corpus_distillation |
"Group ring-Examples-Notice that the identity element 1G of G induces a canonical embedding of the coefficient ring (in this case C) into C[G]; however strictly speaking the multiplicative identity element of C[G] is 1\u22c51G where the first 1 comes from C and the second from G. The additive identity element is zero.\... | large_corpus_distillation |
"Bug (engineering)-Types-Hardware bug Security Software bug Firmware Security Microcode " | large_corpus_distillation |
"2-factor theorem-Proof-In order to prove this generalized form of the theorem, Petersen first proved that a 4-regular graph can be factorized into two 2-factors by taking alternate edges in a Eulerian trail. He noted that the same technique used for the 4-regular graph yields a factorization of a 2k-regular graph into... | large_corpus_distillation |
"Greatest element and least element-Definitions-This is not required of maximal elements. Maximal elements of (P,\u2264) are not required to be comparable to every element in P.\nThis is because unlike the definition of \"greatest element\", the definition of \"maximal element\" includes an important if statement. ... | large_corpus_distillation |
"Bratteli diagram-Sequence of finite-dimensional algebras-Thus, when we have a sequence of finite-dimensional semisimple algebras An and injective homomorphisms \u03c6n : An' \u2192 An+1: between them, we obtain a Bratteli diagram by putting Vn = the set of simple components of An(each isomorphic to a matrix algebra), ... | large_corpus_distillation |
"CBC-MAC-Attack methods against incorrect use-Another solution (in case protection against message replay attacks is not required) is to always use a zero vector IV. Note that the above formula for M1\u2032 becomes M1\u2032=(P1\u22950\u22950)|P2|\u22ef=P1|P2|\u22ef=M1 . So since M1 and M1\u2032 are the same message... | large_corpus_distillation |
"FSF Free Software Awards-Social benefit award-2014 Reglue which donates refurbished Linux computers to underprivileged children in Austin, TX.\n2015 Library Freedom Project a partnership among librarians, technologists, attorneys, and privacy advocates which aims to make real the promise of intellectual freedom in lib... | large_corpus_distillation |
added system-specific security attributes, or to enhance reflection abilities at runtime, or to provide added binding information for interoperability with other programming languages and runtime systems; these extensions may take parameters between parentheses after the declarator attribute identifier; for ANSI confor... | large_corpus_distillation |
"Stanford marshmallow experiment-Stanford marshmallow experiment-Experiment 2 participants The participants consisted of 32 children from the Bing Nursery School of Stanford University. They ranged in age from 3 years 9 months to 5 years 3 months. The mean age was 4 years and 9 months. Six of the subjects were eliminat... | large_corpus_distillation |
"HTree-PHTree-PHTree (Physically stable HTree) is a derivation intended as a successor. It fixes all the known issues with HTree except for write multiplication. It is used in the Tux3 filesystem." | large_corpus_distillation |
"Journey Through Europe-Description-Gameplay Each player rolls a die for movement to reach the cities needed. Upon reaching a required city, the player discards the relevant city card.Special rules: Only one player is allowed in a city at a time. If one player is already visiting a city, other players must wait for it ... | large_corpus_distillation |
"Certificateless cryptography-Certificateless cryptography-To encrypt a message to another user, three pieces of information are needed: 1) the recipient's public key and 2) identity string, and also 3) the KGC's public information (public key). The identity string and the KGC's public key are used to verify that the r... | large_corpus_distillation |
on the server may cause significant problems for all clients involved. If the server is unable or unwilling to accept packets from clients fast enough and process these in a timely manner, client actions may never be registered. When the server then sends out updates to the clients, they may experience freezing (unresp... | large_corpus_distillation |
"Bin packing problem-Hardness of bin packing-On the other hand, bin packing is solvable in pseudo-polynomial time for any fixed number of bins K, and solvable in polynomial time for any fixed bin capacity B." | large_corpus_distillation |
on patterns and inference instead.\nmachine listening Also computer audition (CA).\nA general field of study of algorithms and systems for audio understanding by machine.\nmachine perception The capability of a computer system to interpret data in a manner that is similar to the way humans use their senses to relate to... | large_corpus_distillation |
"Regulated rewriting-Time Variant Grammars-Basic concepts Definition A Time Variant Grammar is a pair (G,v) where G=(N,T,P,S) is a grammar and v:N\u21922P is a function from the set of natural numbers to the class of subsets of the set of productions." | large_corpus_distillation |
will explore the robustness of the estimation procedures for and .\n8.2.7 https://stats.libretexts.org/@go/page/10201" | large_corpus_distillation |
"Phi coefficient-Machine learning-The coefficient takes into account true and false positives and negatives and is generally regarded as a balanced measure which can be used even if the classes are of very different sizes. The MCC is in essence a correlation coefficient between the observed and predicted binary classif... | large_corpus_distillation |
"Authenticator-Classification-A software-based authenticator (sometimes called a software token) may be implemented on a general-purpose electronic device such as a laptop, a tablet computer, or a smartphone. For example, a software-based authenticator implemented as a mobile app on the claimant's smartphone is a type ... | large_corpus_distillation |
only as a hybrid, the Toyota Prius and the Toyota Aqua.Toyota's hybrid sales in Japan since 1997, including both Toyota and Lexus models, passed the 1 million mark in July 2010, 2 million in October 2012, and topped the 3 million mark in March 2014. As of January 2017, TMC hybrid sales in the country totaled 4,853,000 ... | large_corpus_distillation |
"P-adic number-p-adic series-With these operations, the p-adic numbers form a field, which is an extension field of the rational numbers.\nThe valuation of a nonzero p-adic number x, commonly denoed vp(x) is the exponent of p in the first non zero term of the corresponding normalized series; the valuation of zero is ... | large_corpus_distillation |
"Man-on-the-side attack-Man-on-the-side attack-A man-on-the-side attack is a form of active attack in computer security similar to a man-in-the-middle attack. Instead of completely controlling a network node as in a man-in-the-middle attack, the attacker only has regular access to the communication channel, which allow... | large_corpus_distillation |
"Seventh power-Seventh power-The sequence of seventh powers of integers is: 0, 1, 128, 2187, 16384, 78125, 279936, 823543, 2097152, 4782969, 10000000, 19487171, 35831808, 62748517, 105413504, 170859375, 268435456, 410338673, 612220032, 893871739, 1280000000, 1801088541, 2494357888, 3404825447, 4586471424, 6103515625, 8... | large_corpus_distillation |
"248 3 \u2022 Functions\nYes. For example, the domain and range of the cube root function are both the set of all real numbers.\nFinding Domains and Ranges of the Toolkit Functions\nWe will now return to our set of toolkit functions to determine the domain and range of each.\nFigure13 For theconstant function the domai... | large_corpus_distillation |
word recognition is key to lifelong reading skills\". There are different ways to develop these skills. For example, creating flash cards for words that appear at a high frequency is considered a tool for overcoming dyslexia. It has been argued that prosody, the patterns of rhythm and sound used in poetry, can improve ... | large_corpus_distillation |
"Transportation theory (mathematics)-Solution of the problem-Optimal transportation on the real line For 1\u2264p<\u221e , let Pp(R) denote the collection of probability measures on R that have finite p -th moment. Let \u03bc,\u03bd\u2208Pp(R) and let c(x,y)=h(x\u2212y) , where h:R\u2192[0,\u221e) is a convex fu... | large_corpus_distillation |
"State machine replication-State machine replication-In computer science, state machine replication (SMR) or state machine approach is a general method for implementing a fault-tolerant service by replicating servers and coordinating client interactions with server replicas. The approach also provides a framework for u... | large_corpus_distillation |
"GNU Guix System-Release and stability-Roll-back If a system update leaves users with a broken system, users can easily roll back individual packages as well as the whole system state. This means that the kind of stable channel that is very common in other Linux distributions is no longer needed for users who are willi... | large_corpus_distillation |
could provide more personalized services, and also enriches their systems with real-time data to improve lead routing, to enhance segmentation, and provide intelligence across their entire stack.Usually, the data is delivered via network which is typically cloud-based. \"To this end, organizations may 'buy, sell, or tr... | large_corpus_distillation |
"IA-64-IA-64-IA-64 (Intel Itanium architecture) is the instruction set architecture (ISA) of the Itanium family of 64-bit Intel microprocessors. The basic ISA specification originated at Hewlett-Packard (HP), and was subsequently implemented by Intel in collaboration with HP. The first Itanium processor, codenamed Merc... | large_corpus_distillation |
(a 16-bit Unicode code unit), and System.DateTime (identifies a specific point in time with nanosecond precision). Other examples are enum (enumerations) and struct (user defined structures)." | large_corpus_distillation |
"OS/VS2 (SVS)-Storage Management-When a program check occurs with an interrupt code of 16 or 17, SVS checks whether a page has been assigned to the virtual address. If it has, SVS will assign a page frame and read the contents of the page into it. If no page has been assigned, SVS causes an Abnormal End (ABEND) with th... | large_corpus_distillation |
example, most software systems reuse code, and determining which (if any) reused code to include is important when reporting a measure." | large_corpus_distillation |
"Genus\u2013differentia definition-Differentiation and Abstraction-For instance, consider the following: a square: a quadrilateral that has interior angles which are all right angles, and that has bounding sides which all have the same length.A part of that definition may be singled out (using parentheses here): a squa... | large_corpus_distillation |
"JFFS-Sources-Woodhouse, David (2003-07-09). \"JFFS2: The Journalling Flash File System, version 2\". SourceWare.org. Retrieved 2022-10-03." | large_corpus_distillation |
"Base-orderable matroid-The property in context-All bases A and B of a matroid satisfy the symmetric basis exchange property, which is that for every a\u2208A\u2216B , there exists some f(a)\u2208B\u2216A , such that both (A\u2216{a})\u222a{f(a)} and (B\u2216{f(a)})\u222a{a} are bases. However, it is not guarante... | large_corpus_distillation |
"Product defect-Product defect-A product defect is any characteristic of a product which hinders its usability for the purpose for which it was designed and manufactured.\nProduct defects arise most prominently in legal contexts regarding product safety, where the term is applied to \"anything that renders the product ... | large_corpus_distillation |
of vector bundles, it is not possible to combine the families of kernels and cokernels of Dt into a vector bundle. However, in the K-theory of X , formal differences of vector bundles may be taken, and associated to the family Dt is an element ind ker coker Dt]\u2208K(X)." | large_corpus_distillation |
cost prediction methods: Efficiency: parametric estimating requires less time and a lower degree of project definition for supporting the estimates." | large_corpus_distillation |
"Pickle (app)-Pickle (app)-The concept behind Pickle is to provide a streamlined, peer-to-peer platform that allows users to complete jobs for one another, while challenging the stigma of seeking help by incorporating social media. Users can negotiate how tasks are completed as well as payment, which is processed throu... | large_corpus_distillation |
risk functional can be written as a linear combination of the kernel function evaluated at the training points. This is a practically useful result as it effectively simplifies the empirical risk minimization problem from an infinite dimensional to a finite dimensional optimization problem." | large_corpus_distillation |
"Vacuous truth-Vacuous truth-Such statements are considered vacuous truths, because the fact that the antecedent is false prevents using the statement to infer anything about the truth value of the consequent. In essence, a conditional statement, that is based on the material conditional, is true when the antecedent (\... | large_corpus_distillation |
"Minimax eversion-Explanation-Rob Kusner proposed optimal eversions using the Willmore energy on the space of all immersions of the sphere S2 in R3 The round sphere and the inside-out round sphere are the unique global minima for Willmore energy, and a minimax eversion is a path connecting these by passing over a sad... | large_corpus_distillation |
"Factory method pattern-Examples-Example implementations C# In the above code you can see the creation of one interface called IPerson and two implementations called Villager and CityPerson. Based on the type passed into the PersonFactory object, we are returning the original concrete object as the interface IPerson.\n... | large_corpus_distillation |
"Joint probability distribution-Joint density function or mass function-The definition extends naturally to more than two random variables: Again, since these are probability distributions, one has \u222bx\u222byfX,Y(x,y)dydx=1 respectively \u222bx1\u2026\u222bxnfX1,\u2026,Xn(x1,\u2026,xn)dxn\u2026dx1=1 Mixed case The ... | large_corpus_distillation |
"Dialogue journal-Thinking and learning-While personal journal writing has a long history in education settings as a way to promote reflective thinking, interactive writing in a dialogue journal, with a teacher, promotes not only personal reflection but also reflection with another person, who is often more knowledgeab... | large_corpus_distillation |
using traditional benchmarks for service and application performance, as the time period and location in which the benchmark is performed can result in widely varied results. This observation has led in turn to research efforts to make cloud computing applications intrinsically aware of changes in the infrastructure so... | large_corpus_distillation |
"Fr\u00e9chet filter-Fr\u00e9chet filter-In mathematics, the Fr\u00e9chet filter, also called the cofinite filter, on a set X is a certain collection of subsets of X (that is, it is a particular subset of the power set of X ).\nA subset F of X belongs to the Fr\u00e9chet filter if and only if the complement of F ... | large_corpus_distillation |
"Solvable group-Related concepts-If we restrict ourselves to finitely generated groups, we can consider the following arrangement of classes of groups: cyclic < abelian < nilpotent < supersolvable < polycyclic < solvable < finitely generated group.\nVirtually solvable groups A group G is called virtually solvable if it... | large_corpus_distillation |
"Randomized algorithm-Early history-Sorting Quicksort was discovered by Tony Hoare in 1959, and subsequently published in 1961. In the same year, Hoare published the quickselect algorithm, which finds the median element of a list in linear expected time. It remained open until 1973 whether a deterministic linear-time a... | large_corpus_distillation |
"Randomization-Applications-Randomization is used in statistics and in gambling." | large_corpus_distillation |
blocking) can include: Access failure caused by the issuing of a system blocking signal by a communications system that does not have a camp-on busy signal feature.\nAccess failure caused by exceeding the maximum access time and nominal system access time fraction during an access attempt." | large_corpus_distillation |
"Chatbot-Application-Toys Chatbots have also been incorporated into devices not primarily meant for computing, such as toys.Hello Barbie is an Internet-connected version of the doll that uses a chatbot provided by the company ToyTalk, which previously used the chatbot for a range of smartphone-based characters for chil... | large_corpus_distillation |
next, while the sequencer attempts to reorder instructions for best possible performance within each thread." | large_corpus_distillation |
at least, use the inter-community language so extensively that they are more at home in it than in the emblematic language of the community." | large_corpus_distillation |
"Hartley transform-Definition-One can use cos sin instead of cos sin as the kernel." | large_corpus_distillation |
"1000 (number)-Selected numbers in the range 1001\u20131999-1338 = Mertens function zero 1339 = First 4 digit number to appear twice in the sequence of sum of cubes of primes dividing n 1340 = k such that 5 \u00d7 2k - 1 is prime 1341 = First mountain number with 2 jumps of more than one." | large_corpus_distillation |
2006 (v1.0) [MS-SLXV]: Silverlight XAML Vocabulary Specification 2008 (Draft v0.9) Robotics Decentralized Software Services Protocol \u2013 DSSP/1.0 Synchronization FeedSync v1.0, v1.0.1 Windows Rally Technologies Windows Connect Now \u2013 UFD and Windows Vista Windows Connect Now \u2013 UFD for Windows XP Published p... | large_corpus_distillation |
"Matrix unit-Properties-When multiplied by another matrix, it isolates a specific row or column in arbitrary position. For example, for any 3-by-3 matrix A: 23 31 32 33 000].\n23 12 22 32 ]." | large_corpus_distillation |
"Brute-force attack-Unbreakable codes-Certain types of encryption, by their mathematical properties, cannot be defeated by brute force. An example of this is one-time pad cryptography, where every cleartext bit has a corresponding key from a truly random sequence of key bits. A 140 character one-time-pad-encoded string... | large_corpus_distillation |
"Backpropagation-Adjoint graph-For more general graphs, and other advanced variations, backpropagation can be understood in terms of automatic differentiation, where backpropagation is a special case of reverse accumulation (or \"reverse mode\")." | large_corpus_distillation |
"2\n( d E (h(X)))\nd\u03b8 \u03b8\nvar (h(X))\u2265 (7.5.17)\n\u03b8\nnE (l2(X,\u03b8))\n\u03b8\nThe following theorem give the third version of the Cram\u00e9r-Rao lower bound for unbiased estimators of a parameter, specialized\nfor random samples.\n\u03bb(\u03b8) h(X) \u03bb\nSuppose now that is a parameter of intere... | large_corpus_distillation |
"Conjunctive query-Formal properties-An important generalization of acyclicity is the notion of bounded hypertree-width, which is a measure of how close to acyclic a hypergraph is, analogous to bounded treewidth in graphs. Conjunctive queries of bounded tree-width have LOGCFL combined complexity.Unrestricted conjunctiv... | large_corpus_distillation |
are recalled faster than the rest of the items in their \"group\"." | large_corpus_distillation |
"Szemer\u00e9di regularity lemma-Statement-Definition 3. A partition of V into k sets P={V1,\u2026,Vk} is called an \u03b5 -regular partition if not -regular |Vi||Vj|\u2264\u03b5|V(G)|2 Now we can state the lemma: Szemer\u00e9di's Regularity Lemma. For every \u03b5 > 0 and positive integer m there exists an intege... | large_corpus_distillation |
"Pocklington primality test-Pocklington criterion-The basic version of the test relies on the Pocklington theorem (or Pocklington criterion) which is formulated as follows: Let N>1 be an integer, and suppose there exist natural numbers a and p such that Then N is prime.Note: Equation (1) is simply a Fermat primality t... | large_corpus_distillation |
"Automated information systems security-Risk management-In the personal sector, one label such as Financial. This includes activities related to managing money, such as online banking.All employees in the organization, as well as business partners, must be trained on the classification schema and understand the require... | large_corpus_distillation |
"Mobile harassment-Raising Awareness-In November 2009, LG Mobile Phones launched an advertising campaign in the United States that used humor aimed to encourage teens to think before they text. The campaign, produced by DiGennaro Communications, featured James Lipton and carried the tagline \"Before you text, give it a... | large_corpus_distillation |
"Upper ontology-Available upper ontologies-DOLCE-Ultralite, designed by Aldo Gangemi and colleagues at the Semantic Technology Lab of National Research Council (Italy) is the Web Ontology Language (OWL) version of DOLCE. It simplifies some modal axioms of DOLCE, and extends it to cover the Descriptions and Situations f... | large_corpus_distillation |
"PARI/GP-System overview-The PARI/GP system is a package that is capable of doing formal computations on recursive types at high speed; it is primarily aimed at number theorists. Its three main strengths are its speed, the possibility of directly using data types that are familiar to mathematicians, and its extensive a... | large_corpus_distillation |
"Claw-free graph-Independent sets-Sbihi's algorithm recreates the blossom contraction step of Edmonds' algorithm and adds a similar, but more complicated, clique contraction step. Minty's approach is to transform the problem instance into an auxiliary line graph and use Edmonds' algorithm directly to find the augmentin... | large_corpus_distillation |
"Bubble sort-Analysis-Performance Bubble sort has a worst-case and average complexity of O(n2) , where n is the number of items being sorted. Most practical sorting algorithms have substantially better worst-case or average complexity, often log \u2061n) . Even other O(n2) sorting algorithms, such as insertion sort... | large_corpus_distillation |
"Hardware description language-Motivation-Due to the exploding complexity of digital electronic circuits since the 1970s (see Moore's law), circuit designers needed digital logic descriptions to be performed at a high level without being tied to a specific electronic technology, such as ECL, TTL or CMOS. HDLs were crea... | large_corpus_distillation |
of the consequent, so: The lift for Rule 1 is (3/4)/(4/7) = (3*7)/(4 * 4) = 21/16 \u2248 1.31 The lift for Rule 2 is (2/3)/(3/7) = (2*7)/(3 * 3) = 14/9 \u2248 1.56 lift \u2061(A\u21d20)=P(0\u2223A)P(0)=P(A\u22270)P(A)P(0) lift \u2061(B\u21d21)=P(1\u2223B)P(1)=P(B\u22271)P(B)P(1) If some rule had a lift of 1, it would i... | large_corpus_distillation |
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