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"Mini-grid-Risks-Social risks Implementing a mini-grid into a community takes meticulous planning and cooperation between the people living in the area as well as the technicians installing the devices. There also needs to be communication among the community with regards to allotted energy quotas. Each user is typical...
large_corpus_distillation
"Part-of-speech tagging-Principle-Tag sets Schools commonly teach that there are 9 parts of speech in English: noun, verb, article, adjective, preposition, pronoun, adverb, conjunction, and interjection. However, there are clearly many more categories and sub-categories. For nouns, the plural, possessive, and singular ...
large_corpus_distillation
"Stack overflow-Causes-A function like the example above on the left would not be a problem in an environment supporting tail-call optimization; however, it is still possible to create a recursive function that may result in a stack overflow in these languages. Consider the example below of two simple integer exponenti...
large_corpus_distillation
"Integer-Algebraic properties-The lack of multiplicative inverses, which is equivalent to the fact that Z is not closed under division, means that Z is not a field. The smallest field containing the integers as a subring is the field of rational numbers. The process of constructing the rationals from the integers can...
large_corpus_distillation
"Fiat\u2013Shamir heuristic-Fiat\u2013Shamir heuristic-The heuristic was originally presented without a proof of security; later, Pointcheval and Stern proved its security against chosen message attacks in the random oracle model, that is, assuming random oracles exist. This result was generalized to the quantum-access...
large_corpus_distillation
"OPTICS algorithm-Basic idea-Like DBSCAN, OPTICS requires two parameters: \u03b5, which describes the maximum distance (radius) to consider, and MinPts, describing the number of points required to form a cluster. A point p is a core point if at least MinPts points are found within its \u03b5-neighborhood N\u03b5(p) (i...
large_corpus_distillation
"Morphism of schemes-Types of morphisms-Etale A morphism of schemes f:X\u2192Y is called \u00e9tale if it is flat and unramfied. These are the algebro-geometric analogue of covering spaces. The two main examples to think of are covering spaces and finite separable field extensions. Examples in the first case can be co...
large_corpus_distillation
level evaluation, for example to check a single function, and derive results from the tests to enhance the products power and usability on the whole."
large_corpus_distillation
"Usability lab-Lab-based testing environment-The number of users to test is also an important consideration when recruiting participants. Usability tests cost money and resources which is unfortunately very limited, especially with smaller-scaled projects. One effective approach is to consider using five participants. ...
large_corpus_distillation
"CWTS Leiden Ranking-Indicators-The Leiden Ranking ranks universities by the following indicators: Citation impact MCS \u2013 mean citation score. The average number of citations of the publications of a university.\nMNCS \u2013 mean normalized citation score. The average number of citations of the publications of a un...
large_corpus_distillation
"Braille pattern dots-346-Braille pattern dots-346-The Braille pattern dots-346 ( \u282c ) is a 6-dot braille cell with the top right and both bottom dots raised, or an 8-dot braille cell with the top right and both lower-middle dots raised. It is represented by the Unicode code point U+282c, and in Braille ASCII with ...
large_corpus_distillation
"Self-modifying code-Self-modifying code-throughout execution (\"on the fly\") \u2013 based on particular program states that have been reached during the executionIn either case, the modifications may be performed directly to the machine code instructions themselves, by overlaying new instructions over the existing on...
large_corpus_distillation
"Integer sorting-General considerations-Sorting versus integer priority queues A priority queue is a data structure for maintaining a collection of items with numerical priorities, having operations for finding and removing the item with the minimum priority value. Comparison-based priority queues such as the binary he...
large_corpus_distillation
"Visual Cloud-Cloud Graphics-Compute-intensive visual workloads in the cloud graphics segment include computer graphics technologies such as ray and raster rendering, 3D design, 3D modeling, and visual simulation. The graphics workload is manipulated in the cloud, with final rendering to the client device. Examples of ...
large_corpus_distillation
"Pick operating system-Overview-The Pick Operating System consists of a database, dictionary, query language, procedural language (PROC), peripheral management, multi-user management, and a compiled BASIC Programming language.The database is a \"hash-file\" data management system. A hash-file system is a collection of ...
large_corpus_distillation
"Factorion-Factorions for SFDb-b = (k \u2212 1)! Let k be a positive integer and the number base b=(k\u22121)! . Then: n1=kb+1 is a factorion for SFD b for all k.\nn2=kb+2 is a factorion for SFD b for all k b = k! \u2212 k + 1 Let k be a positive integer and the number base b=k!\u2212k+1 . Then: n1=b+k is a fac...
large_corpus_distillation
"Latin-1 Supplement-Subheadings-The C1 Controls and Latin-1 Supplement block has four subheadings within its character collection: C1 controls, Latin-1 Punctuation and Symbols, Letters, and Mathematical operator(s).\nC1 controls The C1 controls subheading contains 32 supplementary control codes inherited from ISO/IEC 8...
large_corpus_distillation
generators output only connected chemical graphs. Thus, the connectivity check is one of the mandatory intermediate steps in structure generation because the aim is to generate fully saturated molecules. A molecule is saturated if all its atoms are saturated."
large_corpus_distillation
in situations where they are fast). It uses distribution-based techniques to accomplish this, first locating the minimum and maximum value in the list, and then dividing the region between them into n/c equal-sized bins."
large_corpus_distillation
"Bayesian inference-Inference over exclusive and exhaustive possibilities-General formulation Suppose a process is generating independent and identically distributed events En,n=1,2,3,\u2026 , but the probability distribution is unknown. Let the event space \u03a9 represent the current state of belief for this proces...
large_corpus_distillation
of the (pseudo) remainders ri obtained by replacing the instruction := rem \u2061(ri\u22121,ri) of Euclid's algorithm by := prem \u2061(ri\u22121,ri)\u03b1, where \u03b1 is an element of Z that divides exactly every coefficient of the numerator. Different choices of \u03b1 give different pseudo-remainder sequences, w...
large_corpus_distillation
"Constraint logic programming-Terms and conditions-Finite domains The third class of constraints used in constraint logic programming is that of finite domains. Values of variables are in this case taken from a finite domain, often that of integer numbers. For each variable, a different domain can be specified: X::[1.....
large_corpus_distillation
"CPU cache-Address translation-For the purposes of the present discussion, there are three important features of address translation: Latency: The physical address is available from the MMU some time, perhaps a few cycles, after the virtual address is available from the address generator.\nAliasing: Multiple virtual ad...
large_corpus_distillation
"Loss function-Example-Two-parameter loss function Specially in trading, where there is a range in between any price is correct, this range been called spread, and the \"correct\" value can be anywhere between bid and ask, including them, and ask (sell price) being higher than bid, is it as follows: L=abs(x\u2212a)+abs...
large_corpus_distillation
"Job Control Language-Job Entry Control Language-On IBM mainframe systems Job Entry Control Language or JECL is the set of command language control statements that provide information for the spooling subsystem \u2013 JES2 or JES3 on z/OS or VSE/POWER for z/VSE. JECL statements may \"specify on which network computer t...
large_corpus_distillation
"Learning to rank-Evaluation measures-Recently, there have been proposed several new evaluation metrics which claim to model user's satisfaction with search results better than the DCG metric: Expected reciprocal rank (ERR); Yandex's pfound.Both of these metrics are based on the assumption that the user is more likely ...
large_corpus_distillation
"Conversation opener-Conversation opener-Judy Ringer's We Have to Talk: A Step-By-Step Checklist for Difficult Conversations points out that an entirely different set of openers may be used for sensitive conversations, e.g. about employee performance, in which a main goal may be to avoid putting the person on the defen...
large_corpus_distillation
"Lumia imaging apps-Lumia Selfie-Lumia Selfie (previously Nokia Glam Me) is a \"selfie\"-based application that can use both the front and the main camera, it offers facial recognition (but has trouble recognising faces wearing eyeglasses) and can edit \"selfies\" by giving the user a bigger smile, whiter teeth, enlarg...
large_corpus_distillation
"Unsupervised learning-Probabilistic methods-In particular, the method of moments is shown to be effective in learning the parameters of latent variable models. Latent variable models are statistical models where in addition to the observed variables, a set of latent variables also exists which is not observed. A highl...
large_corpus_distillation
"Process mining-Process mining-Process mining is a family of techniques relating the fields of data science and process management to support the analysis of operational processes based on event logs. The goal of process mining is to turn event data into insights and actions. Process mining is an integral part of data ...
large_corpus_distillation
"MSN Chat-Authentication-It wasn't until around 2018 that the user JD noticed that the various keys from zmic's reverse engineering were likely derivatives of another key, and he was able to find the plain text key - before finding the algorithm used. Upon sharing this information with Sky, they quickly discovered the ...
large_corpus_distillation
"Hidden Markov model-Extensions-An extension of the previously described hidden Markov models with Dirichlet priors uses a Dirichlet process in place of a Dirichlet distribution. This type of model allows for an unknown and potentially infinite number of states. It is common to use a two-level Dirichlet process, simila...
large_corpus_distillation
"Authorized Program Analysis Report-System Improvement/Difficulty Report-SIDR was Xerox's acronym, covering APAR and PTF.\nThe acronym referred to: System Improvement / Difficulty Report."
large_corpus_distillation
"Quantitative comparative linguistics-Types of analysis-Bootstrapping (a statistical resampling strategy) is used to provide branch support values. The technique randomly picks characters from the input data matrix and then the same analysis is used. The support value is the fraction of the runs with that bipartition i...
large_corpus_distillation
"Lambda calculus-Informal description-The notation := r] indicates substitution of r for x in t in a capture-avoiding manner. This is defined so that: := r]=r ; with r substituted for x , x becomes r := r]=y if x\u2260y ; with r substituted for x , y (which is not x ) remains y (t := := := r]) ; substitut...
large_corpus_distillation
"Binomial distribution-Properties-For p=0 only f(0) has a nonzero value with f(0)=1 . For p=1 we find f(n)=1 and f(k)=0 for k\u2260n . This proves that the mode is 0 for p=0 and n for p=1 Let 0<p<1 . We find f(k+1)f(k)=(n\u2212k)p(k+1)(1\u2212p) .From this follows k>(n+1)p\u22121\u21d2f(k+1)<f(k)k=(n+1)p\u22...
large_corpus_distillation
"Aggregate project plan-Aggregate project plan-Another benefit is the creation of an organizational form for each project type. This creates a focus on the generation of competence and builds the speed and productivity of individuals as well as the organization itself."
large_corpus_distillation
"Complexity function-Related concepts-If x is an irrational number then p(x,b,n) \u2265 n+1; if x is rational then p(x,b,n) \u2264 C for some constant C depending on x and b. It is conjectured that for algebraic irrational x the complexity is bn (which would follow if all such numbers were normal) but all that is known...
large_corpus_distillation
"ANSI/ISO C Specification Language-Syntax-Consider the following example for the prototype of a function named incrstar: The contract is given by the comment which starts with /*@. Its meaning is as follows: the first line is a precondition: it states that function incrstar must be called with a pointer p that points t...
large_corpus_distillation
"Determinantal variety-Definition-Given m and n and r < min(m, n), the determinantal variety Y r is the set of all m \u00d7 n matrices (over a field k) with rank \u2264 r. This is naturally an algebraic variety as the condition that a matrix have rank \u2264 r is given by the vanishing of all of its (r + 1) \u00d7 (r +...
large_corpus_distillation
"English phrasal verbs-Types-Verb + preposition (prepositional verbs) Many verbs can be complemented by a prepositional phrase that functions adverbially: a. Don't stand on the table.This construction is sometimes also taught as a phrasal verb, but only when the combination of verb and preposition is not intuitive to ...
large_corpus_distillation
"Multiplication-Multiplication with set theory-The product of non-negative integers can be defined with set theory using cardinal numbers or the Peano axioms. See below how to extend this to multiplying arbitrary integers, and then arbitrary rational numbers. The product of real numbers is defined in terms of products ...
large_corpus_distillation
"Artificial neural network-History-Transformers have increasingly become the model of choice for natural language processing. Many modern large language models such as ChatGPT, GPT-4, and BERT use it. Transformers are also increasingly being used in computer vision.In 1991, Juergen Schmidhuber also published adversaria...
large_corpus_distillation
"LCP array-Applications-The LCP array is also an essential part of compressed suffix trees which provide full suffix tree functionality like suffix links and lowest common ancestor queries. Furthermore, it can be used together with the suffix array to compute the Lempel-Ziv LZ77 factorization in O(n) time.The longest ...
large_corpus_distillation
"Shadow Copy-Overview-The core component of shadow copy is the Volume Shadow Copy service, which initiates and oversees the snapshot creation process. The components that perform all the necessary data transfer are called providers. While Windows comes with a default System Provider, software and hardware vendors can c...
large_corpus_distillation
"Generative adversarial network-Applications-Video games In 2018, GANs reached the video game modding community, as a method of up-scaling low-resolution 2D textures in old video games by recreating them in 4k or higher resolutions via image training, and then down-sampling them to fit the game's native resolution (wit...
large_corpus_distillation
"Electronic authentication-Other applications-Apart from government services, e-authentication is also widely used in other technology and industries. These new applications combine the features of authorizing identities in traditional database and new technology to provide a more secure and diverse use of e-authentica...
large_corpus_distillation
"Lexicographic code-Construction-For example, F4 code (n=4,d=2,m=3), extended Hamming code (n=8,d=4,m=4) and especially Golay code (n=24,d=8,m=12) shows exceptional compactness compared to neighbors.\nAll odd d-bit lexicode distances are exact copies of the even d+1 bit distances minus the last dimension, so an odd-dim...
large_corpus_distillation
"Executable-Generation of executable files-Executable files typically also include a runtime system, which implements runtime language features (such as task scheduling, exception handling, calling static constructors and destructors, etc.) and interactions with the operating system, notably passing arguments, environm...
large_corpus_distillation
"p Y <n U =1\u22c50+ 1 \u22c51= 1\nwhich simplifies to n. If n then 2 2 .\nY <n U 1\nIf we observe n then n gives the correct answer 2 . This certainly makes sense since we know that we do not have the two-\nY =n p\nheaded coin. On the other hand, if we observe n then we are not certain which coin we have, and the Baye...
large_corpus_distillation
"Structure (mathematical logic)-Homomorphisms and embeddings-A homomorphism h from A to B is typically denoted as h:A\u2192B , although technically the function h is between the domains |A| , |B| of the two structures A , B For every signature \u03c3 there is a concrete category \u03c3-Hom which has \u03c3-struc...
large_corpus_distillation
"Bluetooth Low Energy-History-In 2001, researchers at Nokia determined various scenarios that contemporary wireless technologies did not address. The company began developing a wireless technology adapted from the Bluetooth standard which would provide lower power usage and cost while minimizing its differences from Bl...
large_corpus_distillation
over the years, as they have usually done in the past. That is often done by simply extrapolating past trends, but some models exist to account for the evolution of mortality, like the Lee\u2013Carter model.As discussed above, on an individual basis, some factors correlate with longer life. Factors that are associated ...
large_corpus_distillation
b, ATy \u2265 c, cTx \u2265 bTy, x \u2265 0, y \u2265 0If the combined LP has a feasible solution (x,y), then by weak duality, cTx = bTy. So x must be a maximal solution of the primal LP and y must be a minimal solution of the dual LP. If the combined LP has no feasible solution, then the primal LP has no feasible solu...
large_corpus_distillation
"Online algorithm-Online algorithm-Note that the final result of an insertion sort is optimum, i.e., a correctly sorted list. For many problems, online algorithms cannot match the performance of offline algorithms. If the ratio between the performance of an online algorithm and an optimal offline algorithm is bounded, ...
large_corpus_distillation
and logical truth are specified in terms of syntax or semantics."
large_corpus_distillation
"Basque verbs-Periphrastic conjugation-The auxiliaries adopt all the argument indices (for subject, direct object and/or indirect object as the case may be, as well as the allocutive where applicable) that correspond to the verb within its clause.\nThe above diagram illustrates the patterns with auxiliaries in the pres...
large_corpus_distillation
"Equivalent circuit-Examples-Th\u00e9venin and Norton equivalents One of linear circuit theory's most surprising properties relates to the ability to treat any two-terminal circuit no matter how complex as behaving as only a source and an impedance, which have either of two simple equivalent circuit forms: Th\u00e9veni...
large_corpus_distillation
"Most vexing parse-Solutions-The required interpretation of these ambiguous declarations is rarely the intended one. Function types in C++ are usually hidden behind typedefs and typically have an explicit reference or pointer qualifier. To force the alternate interpretation, the typical technique is a different object ...
large_corpus_distillation
"Memory protection-Methods-Most computer architectures which support paging also use pages as the basis for memory protection."
large_corpus_distillation
"SIM lock-Unlocking technology-A handset can be unlocked by entering a code provided by the network operator. Alternative mechanisms include software running on the handset or a computer attached to the handset, hardware devices that connect to the handset or over-the-air by the carrier. Usually the unlock process is p...
large_corpus_distillation
"Gestational age-Uses-Gestational age is used for example for: The events of prenatal development, which usually occur at specific gestational ages. Hence, the gestational timing of a fetal toxin exposure, fetal drug exposure or vertically transmitted infection can be used to predict the potential consequences to the f...
large_corpus_distillation
"Google Play-Google Play-Applications are available through Google Play either for free or at a cost. They can be downloaded directly on an Android device through the proprietary Google Play Store mobile app or by deploying the application to a device from the Google Play website. Applications utilizing the hardware ca...
large_corpus_distillation
other algorithms which do not require known prime factorization.\nm is a divisor of n (also called m divides n, or n is divisible by m) if all prime factors of m have at least the same multiplicity in n.The divisors of n are all products of some or all prime factors of n (including the empty product 1 of no prime facto...
large_corpus_distillation
"Matroid-Additional terminology-A matroid that cannot be written as the direct sum of two nonempty matroids, or equivalently that has no proper separators, is called connected or irreducible. A matroid is connected if and only if its dual is connected.\nA maximal irreducible submatroid of M is called a component of M. ...
large_corpus_distillation
"Haskell-Code examples-An implementation of an algorithm similar to quick sort over lists, where the first element is taken as the pivot: "
large_corpus_distillation
"LLVM-LLVM-LLVM is written in C++ and is designed for compile-time, link-time, run-time, and \"idle-time\" optimization. Originally implemented for C and C++, the language-agnostic design of LLVM has since spawned a wide variety of frontends: languages with compilers that use LLVM (or which do not directly use LLVM but...
large_corpus_distillation
"Container method-Graph container algorithm-We first describe a method for showing strong upper bounds on the number of independent sets in a graph; this exposition is adapted from a survey of Samotij about the graph container method, originally employed by Kleitman-Winston and Sapozhenko.\nNotation We use the followin...
large_corpus_distillation
"Geometry and topology-Distinction between geometry and topology-The space of homotopy classes of maps is discrete, so studying maps up to homotopy is topology.\nSimilarly, differentiable structures on a manifold is usually a discrete space, and hence an example of topology, but exotic R4s have continuous moduli of dif...
large_corpus_distillation
"Multifit algorithm-The algorithm-The input to the algorithm is a set S of numbers, and a parameter n. The required output is a partition of S into n subsets, such that the largest subset sum (also called the makespan) is as small as possible."
large_corpus_distillation
"Fermat's factorization method-Basic method-One tries various values of a, hoping that a2\u2212N=b2 , a square."
large_corpus_distillation
"The term lexicographic comes from the way that we order words alphabetically: We look at the first letter; if these are different, we\nknow how to order the words. If the first letters are the same, we look at the second letter; if these are different, we know how to order\nthe words. We continue in this way until we ...
large_corpus_distillation
"Digital imaging-Criticisms-Critics of digital imaging cite several negative consequences. An increased \"flexibility in getting better quality images to the readers\" will tempt editors, photographers and journalists to manipulate photographs. In addition, \"staff photographers will no longer be photojournalists, but ...
large_corpus_distillation
"Sieve of Pritchard-Implementation-In the same model, the space complexity is O(N) words, i.e., log \u2061N) bits.\nThe sieve of Eratosthenes requires only 1 bit for each candidate in the range 2 through N , so its space complexity is lower at O(N) bits.\nNote that space needed for the primes is not counted, since ...
large_corpus_distillation
for data centers and cloud computing, based on the LoongArch instruction set architecture."
large_corpus_distillation
treewidth have arbitrarily large grid minors. Seese also conjectured that every family of graphs with a decidable MSO1 satisfiability problem must have bounded clique-width. This has not been proven, but a weakening of the conjecture that extends MSO1 with modular counting predicates is true."
large_corpus_distillation
"IP (complexity)-IP (complexity)-In computational complexity theory, the class IP (interactive proof) is the class of problems solvable by an interactive proof system. It is equal to the class PSPACE. The result was established in a series of papers: the first by Lund, Karloff, Fortnow, and Nisan showed that co-NP had ...
large_corpus_distillation
"Conditional dependence-Conditional dependence-In probability theory, conditional dependence is a relationship between two or more events that are dependent when a third event occurs. For example, if A and B are two events that individually increase the probability of a third event C, and do not directly affect each...
large_corpus_distillation
"Classical capacity-Achievability using sequential decoding-We briefly review the HSW coding theorem (the statement of the achievability of the Holevo information rate I(X;B) for communicating classical data over a quantum channel). We first review the minimal amount of quantum mechanics needed for the theorem. We the...
large_corpus_distillation
"DICING-DICING-In cryptography, DICING is a stream cypher algorithm developed by Li An-Ping. It has been submitted to the eSTREAM Project of the eCRYPT network."
large_corpus_distillation
"Dependency network (graphical model)-Definition-A consistent dependency network for a set of random variables {\\textstyle \\mathbf {X} =(X_{1},\\ldots ,X_{n})} with joint distribution p(x) is a pair (G,P) where G is a cyclic directed graph, where each of its nodes corresponds to a variable in X , and P is a set...
large_corpus_distillation
"Academic year-By country-However, there is little evidence supporting this, with 19th-century rural schools more typically favoring a summer academic term and more vacation time during spring and autumn.Summer is still a popular time for family vacations, and most have a two or three-month summer vacation. The academi...
large_corpus_distillation
"Cayley\u2013Hamilton theorem-Proofs-Thus, the identity from the first proof can be viewed as one involving a multiplication of elements in M(n,R)[t] At this point, it is tempting to simply set t equal to the matrix A, which makes the first factor on the left equal to the zero matrix, and the right hand side equal to ...
large_corpus_distillation
"Scottish Gaelic grammar-Verbs-'Verbal nouns' play a crucial role in the verbal system, being used in periphrastic verbal constructions preceded by a preposition where they act as the sense verb, and a stative verb conveys tense, aspect and mood information, in a pattern that is familiar from other Indo-European langua...
large_corpus_distillation
"Planted motif search-Algorithms-Generate the set of all l-mers in each input string. Let Ci correspond to the l-mers of si, for 1\u2264i\u2264n.\nFor each l-mer u in Ci (1 < i < n), generate Bd(u). Let Li be a collection of all of these neighbors (corresponding to all the l-mers of si).\nSort Li (using radix sort) and...
large_corpus_distillation
"Independent component analysis-Methods for blind source separation-This equals to the probability density at x , since s=Wx Thus, if we wish to find a W that is most likely to have generated the observed mixtures x from the unknown source signals s with pdf ps then we need only find that W which maximizes the l...
large_corpus_distillation
time even though only one is ever executing in any given instant. This method of multitasking is sometimes termed \"time-sharing\" since each program is allocated a \"slice\" of time in turn.Before the era of inexpensive computers, the principal use for multitasking was to allow many people to share the same computer. ...
large_corpus_distillation
y\u2208(0,1)\n2. for\ny\u2208(0,1) g(x\u2223y)=\u2212 1 x\u2208(y,1)\n3. For , for .\nxlny\nX Y\n4. and are dependent.\nX g g(x)=3x2 x\u2208(0,1)\nSuppose that has probability density function defined by for . The conditional probability density function\nY X=x h(y\u2223x)=\n3y2\ny\u2208(0,x)\nof given is for .\nx3\n(X...
large_corpus_distillation
"Chain of trust-Computer security-In computer security, digital certificates are verified using a chain of trust. The trust anchor for the digital certificate is the root certificate authority (CA).\nThe certificate hierarchy is a structure of certificates that allows individuals to verify the validity of a certificate...
large_corpus_distillation
"Collocation-Collocation-There are about seven main types of collocations: adjective + noun, noun + noun (such as collective nouns), noun + verb, verb + noun, adverb + adjective, verbs + prepositional phrase (phrasal verbs), and verb + adverb.\nCollocation extraction is a computational technique that finds collocations...
large_corpus_distillation
"Delta-matroid-Delta-matroid-Algorithms for matroid intersection and the matroid parity problem can be extended to some cases of delta-matroids.Delta-matroids have also been used to study constraint satisfaction problems. As a special case, an even delta-matroid is a delta-matroid in which either all sets have even num...
large_corpus_distillation
"Information dimension-Discrete-Continuous Mixture Distributions-0.5 The normalized right part of the zero-mean Gaussian distribution has entropy log 2\u2061(2\u03c0e\u03c32)\u22121 , hence 0.5 0.5 log 0.5 0.5 log log bit(s) "
large_corpus_distillation
"System on a chip-Structure-Digital signal processors Digital signal processor (DSP) cores are often included on SoCs. They perform signal processing operations in SoCs for sensors, actuators, data collection, data analysis and multimedia processing. DSP cores typically feature very long instruction word (VLIW) and sin...
large_corpus_distillation
"Enumeration reducibility-Definitions-In the definitions provided below, let \u03c9 denote the set of natural numbers ( N ) and A,B...\ndenote subsets of \u03c9 . Let lower case letters n,x...\nand f,g..."
large_corpus_distillation
"Particle filter-Genealogical trees and Unbiasedness properties-In addition, for any x\u2a7e0 sup log \u2061(n)N)>1\u2212e\u2212x for some finite constants c1,c2 related to the asymptotic bias and variance of the particle estimate, and for some finite constant c. The same type of bias and variance estimates hold for ...
large_corpus_distillation
"SQL injection-Mitigation-An SQL injection is a well known attack and easily prevented by simple measures. After an apparent SQL injection attack on TalkTalk in 2015, the BBC reported that security experts were stunned that such a large company would be vulnerable to it.\nObject relational mappers Developers can use OR...
large_corpus_distillation
"Lamport's distributed mutual exclusion algorithm-Lamport's distributed mutual exclusion algorithm-Lamport's Distributed Mutual Exclusion Algorithm is a contention-based algorithm for mutual exclusion on a distributed system."
large_corpus_distillation
"RSA (cryptosystem)-Operation-In addition, for some operations it is convenient that the order of the two exponentiations can be changed and that this relation also implies RSA involves a public key and a private key. The public key can be known by everyone and is used for encrypting messages. The intention is that mes...
large_corpus_distillation
"Employee Developer Employee Developer\nupdate_codebase() \"Employee has updated the codebase\"\nDeveloper python_dev print_company() update_codebase()\nPolygon Rectangle Square\nPolygon p_disp() \"object is a Polygon\"\nRectangle Polygon r_disp() \"object is a\nRectangle\"\nSquare Rectangle s_disp() \"object is a\nSqu...
large_corpus_distillation
"Faro shuffle-Description-A right-handed practitioner holds the cards from above in the left hand and from below in the right hand. The deck is separated into two preferably equal parts by simply lifting up half the cards with the right thumb slightly and pushing the left hand's packet forward away from the right hand....
large_corpus_distillation