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"Gain (electronics)-Logarithmic units and decibels-Power gain Power gain, in decibels (dB), is defined as follows: gain-db 10 log 10 out in dB , where in is the power applied to the input, out is the power from the output.\nA similar calculation can be done using a natural logarithm instead of a decimal logarithm, re... | large_corpus_distillation |
"Sports rating system-Theory-Sports ratings systems use a variety of methods for rating teams, but the most prevalent method is called a power rating. The power rating of a team is a calculation of the team's strength relative to other teams in the same league or division. The basic idea is to maximize the amount of tr... | large_corpus_distillation |
"Knowledge graph embedding-Definition-A knowledge graph G={E,R,F} is a collection of entities E , relations R , and facts F . A fact is a triple (h,r,t)\u2208F that denotes a link r\u2208R between the head h\u2208E and the tail t\u2208E of the triple. Another notation that is often used in the literature to rep... | large_corpus_distillation |
Mihaly Csikszentmihalyi described this level of maximal involvement in a task as flow. In other words, individuals experiencing flow are \"in the zone\". Coaches play a role in setting an environment that induces flow. This can be achieved through clear and consistent goal-setting. Providing clear and immediate feedbac... | large_corpus_distillation |
"Locality (linguistics)-Where locality is observed-In addition to these principles, it is required that pronouns and reflexives agree with their antecedent in gender. For example, regardless of the consideration of locality, a sentence such as \"[DPJohn]i likes [DPherself]i\", it would be ungrammatical because the two ... | large_corpus_distillation |
"Conditional factor demands-Optimization problem-In the simplest mathematical formulation of this problem, two inputs are used (often labor and capital), and the optimization problem seeks to minimize the total cost (amount spent on factors of production, say labor and physical capital) subject to achieving a given lev... | large_corpus_distillation |
"Tur\u00e1n\u2013Kubilius inequality-Statement of the theorem-This formulation is from Tenenbaum.:\u200a302\u200a Other formulations are in Narkiewicz:\u200a243\u200a and in Cojocaru & Murty.:\u200a45\u201346\u200aSuppose f is an additive complex-valued arithmetic function, and write p for an arbitrary prime and \u03bd... | large_corpus_distillation |
"3.3 Formal Properties of Algorithms" | large_corpus_distillation |
"Linearizability-Examples of linearizability-Counters To demonstrate the power and necessity of linearizability we will consider a simple counter which different processes can increment.\nWe would like to implement a counter object which multiple processes can access. Many common systems make use of counters to keep tr... | large_corpus_distillation |
"Gene duplication-As an evolutionary event-Subfunctionalization can occur through neutral processes in which mutations accumulate with no detrimental or beneficial effects. However, in some cases subfunctionalization can occur with clear adaptive benefits. If an ancestral gene is pleiotropic and performs two functions,... | large_corpus_distillation |
"GSM 02.07-GSM 02.07-The SMG GSM 02.07 Technical Specification (Version 7.1.0 Release 1998) called Digital cellular telecommunications system (Phase 2+); Mobile Stations (MS) features defines Mobile Station (MS) features and to classifies them according to their type and whether they are mandatory or optional. The MS f... | large_corpus_distillation |
"Mental calculation-Methods and techniques-Calculating products: a \u00d7 b Many of these methods work because of the distributive property." | large_corpus_distillation |
induced by the vector p-norm (as above in the Induced Norm section)." | large_corpus_distillation |
"Monomorphism-Examples-It is not true in general, however, that all monomorphisms must be injective in other categories; that is, there are settings in which the morphisms are functions between sets, but one can have a function that is not injective and yet is a monomorphism in the categorical sense. For example, in th... | large_corpus_distillation |
if X and Y are independent from each other, then: Var[X/Y]=E[X2]\u22c5E[1/Y2]\u2212(E[X]\u22c5E[1/Y])2=Var[X]\u22c5Var[1/Y]+Var[X]\u22c5(E[1/Y])2+Var[1/Y]\u22c5(E[X])2 Exponentiation: ln \u2061(X)] where Cov[X,Y]=Cov[Y,X] represents the covariance operator between random variables X and Y The variance of a rando... | large_corpus_distillation |
have different levels of other variables. And these other variable, many of which would be unobserved (such as innate ability), also affect earnings. This renders the causal effect of extra years of schooling difficult to identify. The experimentalist approach looks for an instrumental variable that is correlated with ... | large_corpus_distillation |
can be expressed as the product of the full posterior, the ratio of priors and the ratio of evidences: The evidence for the reduced model is obtained by integrating over the parameters of each side of the equation: And by re-arrangement: " | large_corpus_distillation |
"Superscalar processor-Superscalar processor-A superscalar processor is a CPU that implements a form of parallelism called instruction-level parallelism within a single processor. In contrast to a scalar processor, which can execute at most one single instruction per clock cycle, a superscalar processor can execute mor... | large_corpus_distillation |
"Baking-Commercial baking-Every family used to prepare the bread for its own consumption, the trade of baking, not having yet taken shape. Mrs Beeton (1861) Baking eventually developed into a commercial industry using automated machinery which enabled more goods to be produced for widespread distribution. In the United... | large_corpus_distillation |
"AI capability control-Oracle-Because of its limited impact on the world, it may be wise to build an oracle as a precursor to a superintelligent AI. The oracle could tell humans how to successfully build a strong AI, and perhaps provide answers to difficult moral and philosophical problems requisite to the success of t... | large_corpus_distillation |
"Annotation-Annotation-An annotation is extra information associated with a particular point in a document or other piece of information. It can be a note that includes a comment or explanation. Annotations are sometimes presented in the margin of book pages. For annotations of different digital media, see web annotati... | large_corpus_distillation |
"Feedback loop (email)-Criticism-The report spam button is said by some to often be used improperly.\nThe feedback loops fail to meet the generic anti-spam criterion of not generating more email messages. Even if the amount of feedback is just a fraction of the number of messages that an ESP sends out, most ESPs are no... | large_corpus_distillation |
"JIT spraying-JIT spraying-To produce exploit code from JIT, an idea from Dion Blazakis is used. The input program, usually JavaScript or ActionScript, typically contains numerous constant values that can be erroneously executed as code. For example, the XOR operation could be used: JIT then will transform bytecode to ... | large_corpus_distillation |
events generated by the process or group.\nThis representation has a fixed size, and the ordering of events can be inferred by a simple comparison of the vectors.\nTo precisely determine which events are dependent and which are concurrent in a fully peer-to-peer system, the size of the metadata is at least proportional... | large_corpus_distillation |
"English nouns-Nouns versus other lexical categories-Adverbs There is typically little confusion between nouns and adverbs in English because there is no overlap in the inflectional morphology that they take (-s for nouns, -er and -est for adverbs) and they tend to cooccur with different kinds of words (e.g., nouns can... | large_corpus_distillation |
"Software bug-Prevention-Open source development allows anyone to examine source code. A school of thought popularized by Eric S. Raymond as Linus's law says that popular open-source software has more chance of having few or no bugs than other software, because \"given enough eyeballs, all bugs are shallow\". This asse... | large_corpus_distillation |
"Android (operating system)-Security and privacy-Further notable exploits In 2018, Norwegian security firm Promon has unearthed a serious Android security hole which can be exploited to steal login credentials, access messages, and track location, which could be found in all versions of Android, including Android 10. T... | large_corpus_distillation |
"Kosambi\u2013Karhunen\u2013Lo\u00e8ve theorem-Non-Linear approximation in bases-The best non-linear approximation is fM=\u2211k=1M\u27e8f,gmk\u27e9gmk It can also be written as inner product thresholding: fM=\u2211m=0\u221e\u03b8T(\u27e8f,gm\u27e9)gm with T=|\u27e8f,gmM\u27e9|,\u03b8T(x)={x|x|\u2265T0|x|<T The non-lin... | large_corpus_distillation |
"StableUpdate-StableUpdate-StableUpdate is a cross platform library for automatic update of the installed applications on the client side. It supports the automated creation, detection, downloading, installation and removing of the service packs." | large_corpus_distillation |
"It\u00f4 calculus-Existence of the integral-This is extended to all simple predictable processes by the linearity of H \u00b7 X in H.\nFor a Brownian motion B, the property that it has independent increments with zero mean and variance Var(Bt) = t can be used to prove the It\u00f4 isometry for simple predictable integ... | large_corpus_distillation |
7, 2019, and 24-core processors were launched in November.The Ryzen Threadripper 3990X, part of Castle Peak generation of CPUs, has currently the world's largest number of both cores and threads available in consumer-oriented CPUs - 64 and 128, respectively. The competing Intel Core i9-10980XE processor has only 18 cor... | large_corpus_distillation |
"Higher residuosity problem-Problem statement-Given an integer n = pq where p and q are unknown, an integer d such that d divides p-1, and an integer x < n, it is infeasible to determine whether x is a dth power (equivalently dth residue) modulo n.\nNotice that if p and q are known it is easy to determine whether x is ... | large_corpus_distillation |
"Exponential distribution-Random variate generation-A conceptually very simple method for generating exponential variates is based on inverse transform sampling: Given a random variate U drawn from the uniform distribution on the unit interval (0, 1), the variate has an exponential distribution, where F\u22121 is the q... | large_corpus_distillation |
"Heteroskedasticity-consistent standard errors-Solution-Instead of accounting for the heteroskedastic errors, most linear models can be transformed to feature homoskedastic error terms (unless the error term is heteroskedastic by construction, e.g. in a Linear probability model). One way to do this is using Weighted le... | large_corpus_distillation |
"Archetype-Archetype-The concept of an archetype (; from Ancient Greek \u1f04\u03c1\u03c7\u03c9 (\u00e1rkh\u014d) 'to begin', and \u03c4\u1fe0\u0301\u03c0\u03bf\u03c2 (t\u00fapos) 'sort, type') appears in areas relating to behavior, historical psychology, and literary analysis.\nAn archetype can be any of the following... | large_corpus_distillation |
to cause even more damage to compromised systems." | large_corpus_distillation |
"Simultaneous multithreading-Modern commercial implementations-The Oracle Corporation SPARC T3 has eight fine-grained threads per core; SPARC T4, SPARC T5, SPARC M5, M6 and M7 have eight fine-grained threads per core of which two can be executed simultaneously.\nFujitsu SPARC64 VI has coarse-grained Vertical Multithrea... | large_corpus_distillation |
in soil classification but more computationally expensive to train than support-vector machine (SVM) learning. The application of machine learning has been popular in recent decades, as the development of other technologies such as unmanned aerial vehicles (UAVs), ultra-high resolution remote sensing technology and hig... | large_corpus_distillation |
a clustering algorithm to the dataset Dh . The entries of Mh are defined as follows: if points i and j belong to the same cluster otherwise Let Ih be the N\u00d7N identicator matrix where the (i,j) -th entry is equal to 1 if points i and j are in the same perturbed dataset Dh , and 0 otherwise. The indicator ma... | large_corpus_distillation |
"Sound velocity probe-Theory of operation-Firstly, the main three variables that affect sound velocity may be measured using a Conductivity, Temperature & Depth Probe (CTD Probe). This instrument can determine the salinity, temperature and pressure variables, and then calculate the sound velocity of the water using one... | large_corpus_distillation |
"Doob's martingale inequality-Statement of the inequality-Informally, Doob's inequality states that the expected value of the process at some final time controls the probability that a sample path will reach above any particular value beforehand. As the proof uses very direct reasoning, it does not require any restrict... | large_corpus_distillation |
"Control key-Similar concepts-Generally, the Command key, labeled with the \u2318 symbol on Apple Macintosh computers, performs the equivalent functions in classic Mac OS and macOS applications (for example, \u2318C copies, while \u2318P prints; the same holds for saving, cutting, and pasting)." | large_corpus_distillation |
"Moment (mathematics)-Significance of the moments-The kurtosis can be positive without limit, but \u03ba must be greater than or equal to \u03b32 + 1; equality only holds for binary distributions. For unbounded skew distributions not too far from normal, \u03ba tends to be somewhere in the area of \u03b32 and 2\u03b32.... | large_corpus_distillation |
"Rational ignorance-Applications-Because the cost/benefit ratio increases with increasing costs or decreasing the benefit, the same effect can occur when politicians protect their policy decisions from the preferences of the public. To the degree that the electorate perceives their individual votes to count for less, t... | large_corpus_distillation |
"F-score-Criticism-David Hand and others criticize the widespread use of the F1 score since it gives equal importance to precision and recall. In practice, different types of mis-classifications incur different costs. In other words, the relative importance of precision and recall is an aspect of the problem.According ... | large_corpus_distillation |
"Guarded Command Language-Selection: if-Examples Simple In pseudocode: if a < b then set c to True else set c to False In guarded command language: if a < b \u2192 c := true \u25a1 a \u2265 b \u2192 c := false fi Use of skip In pseudocode: if error is True then set x to 0 In guarded command language: if error \u2192 x ... | large_corpus_distillation |
"Dining philosophers problem-Solutions-Chandy/Misra solution In 1984, K. Mani Chandy and J. Misra proposed a different solution to the dining philosophers problem to allow for arbitrary agents (numbered P1, ..., Pn) to contend for an arbitrary number of resources, unlike Dijkstra's solution. It is also completely distr... | large_corpus_distillation |
processing needs These include accurate and reproducible transactions performed in high volumes, data warehousing for the support of management information systems (and potential data mining), repetitive periodic reporting, ad hoc reporting, and support of various organizational initiatives as required (i.e. annual bud... | large_corpus_distillation |
"Regularization by spectral filtering-Implementation of algorithms-Each algorithm in the class of spectral regularization algorithms is defined by a suitable filter function, denoted here by G\u03bb(\u22c5) . If the Kernel matrix is denoted by K , then \u03bb should control the magnitude of the smaller eigenvalues o... | large_corpus_distillation |
"Augmented Lagrangian method-Alternating direction method of multipliers-Though this change may seem trivial, the problem can now be attacked using methods of constrained optimization (in particular, the augmented Lagrangian method), and the objective function is separable in x and y. The dual update requires solving a... | large_corpus_distillation |
and is seen by some as a deliberate ploy to make consumers switch to CDs, which were more profitable for the record companies." | large_corpus_distillation |
"MOS:EL-MOS:EL-MOS:EL has no article.\nIn Wikipedia editing, the intended destination might be one of these guideline or Manual of Style pages: Wikipedia:External links (WP:EL) Wikipedia:Manual of Style/Embedded lists Wikipedia:Manual of Style/Layout#External links (summary version) Wikipedia:Manual of Style/Linking#Ex... | large_corpus_distillation |
"Algorithm characterizations-1881 John Venn's negative reaction to W. Stanley Jevons's Logical Machine of 1870-In early 1870 W. Stanley Jevons presented a \"Logical Machine\" (Jevons 1880:200) for analyzing a syllogism or other logical form e.g. an argument reduced to a Boolean equation. By means of what Couturat (1914... | large_corpus_distillation |
"Support function-Properties-It follows that hA is a convex function. It is crucial in convex geometry that these properties characterize support functions: Any positive homogeneous, convex, real valued function on Rn is the support function of a nonempty compact convex set. Several proofs are known one is using the... | large_corpus_distillation |
"RSA numbers-RSA-1024-RSA-1024 has 309 decimal digits (1,024 bits), and has not been factored so far. $100,000 was previously offered for factorization.\nRSA-1024 = 135066410865995223349603216278805969938881475605667027524485143851526510604 859533833940287150571909441798207282164471551373680419703964191743046496589 274... | large_corpus_distillation |
more concrete acceptance criteria for the containment, which should be able to prevent \"significant rupture or hazardous distortion of the engine casing and the expulsion of blades through or beyond the edge of the engine case or shield.\"Amendment 10 to the Airworthiness Standards was published by the Federal Aviatio... | large_corpus_distillation |
"SKI combinator calculus-SKI expressions-As the SKI calculus is complete, it is also possible to express NOT, OR and AND as prefix operators: NOT = S(SI(KF))(KT) (as S(SI(KF))(KT)x = SI(KF)x(KTx) = Ix(KFx)T = xFT) OR = SI(KT) (as SI(KT)xy = Ix(KTx)y = xTy) AND = SS(K(KF)) (as SS(K(KF))xy = Sx(K(KF)x)y = xy(KFy) = xyF) ... | large_corpus_distillation |
"Group with operators-Category-theoretic remarks-A morphism in this category is a natural transformation between two functors (i.e., two groups with operators sharing same operator domain M). Again we recover the definition above of a homomorphism of groups with operators (with f the component of the natural transforma... | large_corpus_distillation |
"Bibliogram-Other methods-Similar but different methods are used in data clustering and data mining. Google Sets does also create list of associated terms to a given set of terms." | large_corpus_distillation |
"Meshedness coefficient-Definition-The meshedness coefficient is used to compare the general cycle structure of a connected planar graph to two extreme relevant references. In one end, there are trees, planar graphs with no cycle. The other extreme is represented by maximal planar graphs, planar graphs with the highest... | large_corpus_distillation |
"Differential of a function-General formulation-A consistent notion of differential can be developed for a function f : Rn \u2192 Rm between two Euclidean spaces. Let x,\u0394x \u2208 Rn be a pair of Euclidean vectors. The increment in the function f is If there exists an m \u00d7 n matrix A such that in which the vect... | large_corpus_distillation |
"Piece table-Operations-Index Definition: Index(i): return the character at position iTo retrieve the i-th character, the appropriate entry in a piece table is read.\nExample Given the following buffers and piece table: To access the i-th character, the appropriate entry in the piece table is looked up." | large_corpus_distillation |
"Set packing-Related problems-Other related problems In the set cover problem, we are given a family S of subsets of a universe U , and the goal is to determine whether we can choose t sets that together contain every element of U . These sets may overlap. The optimization version finds the minimum number of such se... | large_corpus_distillation |
"Expander graph-Applications and useful properties-More formally, let E(S, T) denote the number of edges between S and T. If the two sets are not disjoint, edges in their intersection are counted twice, that is, E(S,T)=2|E(G[S\u2229T])|+E(S\u2216T,T)+E(S,T\u2216S).\nThen the expander mixing lemma says that the followin... | large_corpus_distillation |
"Max-flow min-cut theorem-Application-Cederbaum's maximum flow theorem The maximum flow problem can be formulated as the maximization of the electrical current through a network composed of nonlinear resistive elements. In this formulation, the limit of the current \u2009Iin between the input terminals of the electrica... | large_corpus_distillation |
"Run-time type information-C++ \u2013 typeid-The typeid keyword is used to determine the class of an object at run time. It returns a reference to std::type_info object, which exists until the end of the program. The use of typeid, in a non-polymorphic context, is often preferred over dynamic_cast<class_type> in situat... | large_corpus_distillation |
"Zilog Z8-Zilog Z8-Signifying features of the architecture are up to 4,096 fast on-chip registers which may be used as accumulators, pointers, or as ordinary random-access memory (RAM). A 16-bit address space for between 1 kibibyte (KB) and 64 KB of either programmable read-only memory (PROM, OTP), read-only memory (RO... | large_corpus_distillation |
"NinJo-Description-NinJo is a client-server system with interactive displays on the client side fed by batch applications implemented on the server. The system is programmed entirely in JAVA and can easily be extended by further layers and applications according to user-specific requirements. The workstation fed by the... | large_corpus_distillation |
"Digital obsolescence-Examples of digital obsolescence-Software Over the past several decades, there have been a number of various, once industry-standard file formats and application platforms for data, images, and text that have been repeatedly replaced and superseded by newer iterations of software formats and appli... | large_corpus_distillation |
"Correlation swap-Payoff Definition-Most correlation swaps trade using equal weights, in which case the realized correlation formula simplifies to: realized =2n(n\u22121)\u2211i>j\u03c1i,j The specificity of correlation swaps is somewhat counterintuitive, as the protection buyer pays the fixed, unlike in usual swaps." | large_corpus_distillation |
"Protocol engineering-Methods and tools-Tools for the activities of protocol verification, entity implementation and test suite development can be developed when the protocol specification is written in a formalized language which can be understood by the tool. As mentioned, formal specification languages have been pro... | large_corpus_distillation |
"Multiplication table-Patterns in the tables-For example, to recall all the multiples of 7: Look at the 7 in the first picture and follow the arrow.\nThe next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.\nThe next number in the direction of the arrow is 1... | large_corpus_distillation |
"9 \u2022 Introduction 885\n9 SEQUENCES, PROBABILITY, AND COUNTING THEORY\n(credit: Robert Couse-Baker, Flickr.)\nChapter Outline\n9.1Sequences and Their Notations\n9.2Arithmetic Sequences\n9.3Geometric Sequences\n9.4Series and Their Notations\n9.5Counting Principles\n9.6Binomial Theorem\n9.7Probability\nIntroduction t... | large_corpus_distillation |
the number of people dying in a short interval starting at age x, divided by \u2113x and also divided by the length of the interval.Another common variable is mx This symbol refers to central rate of mortality. It is approximately equal to the average force of mortality, averaged over the year of age." | large_corpus_distillation |
"Object\u2013subject word order-Object-initial word order-In a 1979 study, Desmond C. Derbyshire and Geoffrey K. Pullum reported that predominant object-initial word order only occurs in the Amazonian language area. Amazonian languages with object-initial order include Hixkaryana, Urubu, Apurin\u00e3, Xavante, and Nad\... | large_corpus_distillation |
with the important special case C\u2216(C\u2216A)=(C\u2229A) demonstrating that intersection can be expressed using only the relative complement operation.\n(B\u2216A)\u2229C=(B\u2229C)\u2216A=B\u2229(C\u2216A).\n(B\u2216A)\u222aC=(B\u222aC)\u2216(A\u2216C).\nA\u2216A=\u2205.\n\u2205\u2216A=\u2205.\nA\u2216\u2205=A.\n... | large_corpus_distillation |
"Intel 8255-Function-The 8255 gives a CPU or digital system access to programmable parallel I/O.\nThe 8255 has 24 input/output pins. These are divided into three 8-bit ports (A, B, C). Port A and port B can be used as 8-bit input/output ports. Port C can be used as an 8-bit input/output port or as two 4-bit input/outpu... | large_corpus_distillation |
"Generalized algebraic data type-History-Type inference in the absence of any programmer supplied type annotations is undecidable and functions defined over GADTs do not admit principal types in general. Type reconstruction requires several design trade-offs and is an area of active research (Peyton Jones, Washburn & W... | large_corpus_distillation |
"Storage virtualization-Block virtualization-Due to the nature of virtualization, the mapping of logical to physical requires some processing power and lookup tables. Therefore, every implementation will add some small amount of latency." | large_corpus_distillation |
"Fermium-Fermium-Fermium is a synthetic element with the symbol Fm and atomic number 100. It is an actinide and the heaviest element that can be formed by neutron bombardment of lighter elements, and hence the last element that can be prepared in macroscopic quantities, although pure fermium metal has not yet been prep... | large_corpus_distillation |
of behavior and variation in cognitive ability, performance, and personality." | large_corpus_distillation |
"Balance theory-Balance theory-Structural balance theory in social network analysis is the extension proposed by Frank Harary and Dorwin Cartwright. It was the framework for the discussion at a Dartmouth College symposium in September 1975." | large_corpus_distillation |
"WxWidgets-RAD tools and IDEs for wxWidgets-There are many Rapid Application Development (RAD) and Integrated Development Environment (IDE) tools available. Notable tools include: Code::Blocks (via wxSmith plugin) CodeLite (via wxCrafter plugin) wxFormBuilder " | large_corpus_distillation |
"Log-linear model-Log-linear model-A log-linear model is a mathematical model that takes the form of a function whose logarithm equals a linear combination of the parameters of the model, which makes it possible to apply (possibly multivariate) linear regression. That is, it has the general form exp \u2061(c+\u2211iwif... | large_corpus_distillation |
"Matrix multiplication algorithm-Matrix multiplication algorithm-Because matrix multiplication is such a central operation in many numerical algorithms, much work has been invested in making matrix multiplication algorithms efficient. Applications of matrix multiplication in computational problems are found in many fie... | large_corpus_distillation |
one year in the 7980-year Julian Period. Scaliger determined that 1 BC or year 0 was Julian Period (JP) 4713. He knew that 1 BC or 0 had the character 9 of the solar cycle, 1 of the lunar cycle, and 3 of the indiction cycle. By inspecting a 532-year Paschal cycle with 19 solar cycles (each year numbered 1\u201328) and ... | large_corpus_distillation |
"FREELANG Dictionary-Services-Dictionary Various language modules make up the core of the FREELANG dictionary. Language modules may be accessed through either the on-line interface page or off-line FREELANG dictionary program. While the on-line interface page accommodates all platforms, the off-line dictionary program ... | large_corpus_distillation |
"Greedoid-Definitions-(Note: Some people reserve the term exchange property for a condition on the bases of a greedoid, and prefer to call the above condition the \u201caugmentation property\u201d.) A basis of a greedoid is a maximal feasible set, meaning it is a feasible set but not contained in any other one. A basis... | large_corpus_distillation |
"Ring of integers-Ring of integers-In mathematics, the ring of integers of an algebraic number field K is the ring of all algebraic integers contained in K . An algebraic integer is a root of a monic polynomial with integer coefficients: xn+cn\u22121xn\u22121+\u22ef+c0 . This ring is often denoted by OK or OK . Si... | large_corpus_distillation |
"Product (mathematics)-Products in linear algebra-The cross product can also be expressed as the formal determinant: u\u00d7v=|ijku1u2u3v1v2v3| Composition of linear mappings A linear mapping can be defined as a function f between two vector spaces V and W with underlying field F, satisfying f(t1x1+t2x2)=t1f(x1)+t2f(x2... | large_corpus_distillation |
"C13orf46-mRNA-Eight different transcript variants have been identified for C13orf46. These transcript variants are alternatively spliced to include variations of 11 different exons. Depending on the different transcript variant that is translated, 5 different possible protein isoforms are encoded by C13orf46. The most... | large_corpus_distillation |
be very forgiving and try to use context to guess their intent. The result is still invalid markup, which makes the document less accessible to other browsers and to other user agents that may try to parse the document for search and indexing purposes for example." | large_corpus_distillation |
"FLOW-MATIC-Sample program-A sample FLOW-MATIC program: (0) INPUT INVENTORY FILE-A PRICE FILE-B ; OUTPUT PRICED-INV FILE-C UNPRICED-INV FILE-D ; HSP D .\n(1) COMPARE PRODUCT-NO (A) WITH PRODUCT-NO (B) ; IF GREATER GO TO OPERATION 10 ; IF EQUAL GO TO OPERATION 5 ; OTHERWISE GO TO OPERATION 2 .\n(2) TRANSFER A TO D .\n(3... | large_corpus_distillation |
"Co-occurrence network-Methods and development-Individual terms are, within the context of text mining, symbolically represented as text strings. In the real world, the entity identified by a term normally has several symbolic representations. It is therefore useful to consider terms as being represented by one primary... | large_corpus_distillation |
"Cryptography-Modern cryptography-Public-key cryptography Symmetric-key cryptosystems use the same key for encryption and decryption of a message, although a message or group of messages can have a different key than others. A significant disadvantage of symmetric ciphers is the key management necessary to use them sec... | large_corpus_distillation |
"Growing self-organizing map-Growing self-organizing map-A growing self-organizing map (GSOM) is a growing variant of a self-organizing map (SOM). The GSOM was developed to address the issue of identifying a suitable map size in the SOM. It starts with a minimal number of nodes (usually 4) and grows new nodes on the bo... | large_corpus_distillation |
"Rate (mathematics)-Properties and examples-A set of sequential indices may be used to enumerate elements (or subsets) of a set of ratios under study. For example, in finance, one could define I by assigning consecutive integers to companies, to political subdivisions (such as states), to different investments, etc. Th... | large_corpus_distillation |
"Java Optimized Processor-Java Optimized Processor-Java Optimized Processor (JOP) is a Java processor, an implementation of Java virtual machine (JVM) in hardware.\nJOP is free hardware under the GNU General Public License, version 3.\nThe intention of JOP is to provide a small hardware JVM for embedded real-time syste... | large_corpus_distillation |
as a quotient of natural logarithms, the new base,\nWe rewrite the log as a quotient using the change-of-base formula. The numerator of the quotient will be the natural log\nwith argument 3. The denominator of the quotient will be the natural log with argument 5.\nTRY IT #13 Change to a quotient of natural logarithms.\... | large_corpus_distillation |
"Estimation of signal parameters via rotational invariance techniques-General description-In the next sections we will use the following matrices: {\\textstyle \\mathbf {A} _{1}=\\mathbf {J} _{1}\\mathbf {A} } {\\textstyle \\mathbf {A} _{2}=\\mathbf {J} _{2}\\mathbf {A} } Here, A1 contains the first M\u22121 rows of ... | large_corpus_distillation |
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