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"Chan's algorithm-Algorithm-Overview A single pass of the algorithm requires a parameter m which is between 0 and n (number of points of our set P ). Ideally, m=h but h , the number of vertices in the output convex hull, is not known at the start. Multiple passes with increasing values of m are done which then te...
large_corpus_distillation
"Traitor tracing-Watermarking-Websites offering subscriber downloads may embed a digital watermark in the download, usually in a way that is not readily apparent to the user. For example, an identification number may be embedded in an image, or in metadata such as the date of a file. It is also possible to watermark mu...
large_corpus_distillation
"Shell script-Capabilities-Here, the first line uses a shebang to indicate which interpreter should execute the rest of the script, and the second line makes a listing with options for file format indicators, columns, all files (none omitted), and a size in blocks. The LC_COLLATE=C sets the default collation order to n...
large_corpus_distillation
"Cryptography-History-Extensive open academic research into cryptography is relatively recent, beginning in the mid-1970s. In the early 1970s IBM personnel designed the Data Encryption Standard (DES) algorithm that became the first federal government cryptography standard in the United States. In 1976 Whitfield Diffie ...
large_corpus_distillation
"Billion laughs attack-Variations-Enterprise software like Kubernetes has been affected by this attack through its YAML parser. For this reason, either a parser with intentionally limited capabilities is preferred (like StrictYAML) or file formats that do not allow references are often preferred for data arriving from ...
large_corpus_distillation
"Bell triangle-Combinatorial interpretation-For instance, the number 3 in the middle of the third row of the triangle would be labeled, in their notation, as A3,2, and counts the number of partitions of {1, 2, 3, 4} in which 3 is the largest singleton element. There are three such partitions: {1}, {2, 4}, {3} {1, 4}, {...
large_corpus_distillation
"Exponentiation-Integer powers in algebra-Order of elements play a fundamental role in group theory. For example, the order of an element in a finite group is always a divisor of the number of elements of the group (the order of the group). The possible orders of group elements are important in the study of the structu...
large_corpus_distillation
of conditional independence.\nDecision trees Decision tree learning is a powerful classification technique. The tree tries to infer a split of the training data based on the values of the available features to produce a good generalization. The algorithm can naturally handle binary or multiclass classification problems...
large_corpus_distillation
"Generalized integer gamma distribution-Definition-Then the random variable Y defined by Y = \u2211 j = 1 p X j Y=\\sum _{j=1}^{p}X_{j} has a GIG (generalized integer gamma) distribution of depth p p with shape parameters r j r_{j}\\! and rate parameters \u03bb j \\lambda _{j}\\! ( j = 1 , \u2026 , p ) (j=1,\\dots ,...
large_corpus_distillation
another reduction that proved useful in the IP = PSPACE proof where no more than one universal quantifier is placed between each variable's use and the quantifier binding that variable. This was critical in limiting the number of products in certain subexpressions of the arithmetization."
large_corpus_distillation
"Shoe tree (device)-Boot trees-A boot shaper, on the other hand, has wooden or plastic formers with centre support or wedge that expands to provide the ideal tension for your boots. Some boot shapers come with a trigger that allows easy fitting and hanging."
large_corpus_distillation
"Suffix-Derivation-Derivational suffixes can be divided into two categories: class-changing derivation and class-maintaining derivation. In English, they include -ise/-ize (usually changes nouns into verbs) -fy (usually changes nouns into verbs) -ly (usually changes adjectives into adverbs, but also some nouns into adj...
large_corpus_distillation
"Text-to-image model-Architecture and training-Text-to-image models are trained on large datasets of (text, image) pairs, often scraped from the web. With their 2022 Imagen model, Google Brain reported positive results from using a large language model trained separately on a text-only corpus (with its weights subseque...
large_corpus_distillation
"Long line (topology)-Properties-The closed long ray L=\u03c91\u00d7[0,1) consists of an uncountable number of copies of [0,1) 'pasted together' end-to-end. Compare this with the fact that for any countable ordinal \u03b1 , pasting together \u03b1 copies of [0,1) gives a space which is still homeomorphic (and orde...
large_corpus_distillation
"Differential entropy-Differential entropy-In terms of measure theory, the differential entropy of a probability measure is the negative relative entropy from that measure to the Lebesgue measure, where the latter is treated as if it were a probability measure, despite being unnormalized."
large_corpus_distillation
"Eigenface-Generation-Calculate the eigenvectors and eigenvalues of the covariance matrix S. Each eigenvector has the same dimensionality (number of components) as the original images, and thus can itself be seen as an image. The eigenvectors of this covariance matrix are therefore called eigenfaces. They are the direc...
large_corpus_distillation
"Tile tracking-Technology-The introduction of Scrabble for computers saw the practical application of automated score-keeping, but the rapid technological advances brought about by computers and the internet seemed only to serve the wider distribution of pre-printed tracking grids via downloads in terms of new tile-tra...
large_corpus_distillation
"Wine cocktail-List of wine cocktails-Agua de Valencia Black Velvet Death in the Afternoon Flirtini Prince of Wales Sangria Mulled wine (Gl\u00f6gg) Wine cooler One-Balled Dictator \u2014 5 parts German Liebfraumilch, 1 part French Champagne, briefly but violently shaken, then poured into a rocks glass containing one c...
large_corpus_distillation
"Data Mining and Knowledge Discovery-Academic status-Since its founding in 1997, this journal has become the most influential academic journal in the field. Each year, it currently publishes about 60 articles in six issues. It has one of the highest index ratings and is considered authoritative academically."
large_corpus_distillation
a setup phase, which may only be secure against a computationally bounded adversary."
large_corpus_distillation
"Literature circle-Background of literature circles-Literature circles are not to be confused with book discussion clubs, currently popular in some circles. While both book clubs and literature circles focus on discussion of books in small group settings, book clubs have a more loosely structured agenda for discussions...
large_corpus_distillation
"Pseudorandom graph-Sparse pseudorandomness-If \u03bb\u2264d\u22122 , G is d edge-connected. If n is even, G contains a perfect matching.:\u200a32\u200a The maximum cut of G is at most n(d+\u03bb)4 .:\u200a33\u200a The largest independent subset of a subset U\u2282V(G) in G is of size at least ln \u2061(|U|(d...
large_corpus_distillation
"Grill (cryptology)-Grill-A: c\u2194k B: f\u2192x C: D: h\u2194y E: t\u2192f F: g\u2190t \u2193 \u2193 \u2191 * \u2191 \u2191 \u2191 * * \u2191 c k i x n j h y u i g u \u2193 \u2193 \u2191 \u2191 \u2191 \u2191 \u2191 \u2191 \u2191 \u2191 \u2191 \u2191 Q: j\u2194m j\u2194m j\u2194m j\u2194m j\u2194m j\u2194m knowing (tu...
large_corpus_distillation
"PreonVM-PreonVM-PreonVM is an implementation of the Java virtual machine developed by Virtenio. The PreonVM was initially developed to run on the Atmel AVR ATmega256, but has been ported to ARM Cortex-M3 systems. Therefore the VM can run on a microcontroller with 8 kB RAM and 256 kB ROM at a minimum. The PreonVM requi...
large_corpus_distillation
"Commutative diagram-Examples-Example 1 In the left diagram, which expresses the first isomorphism theorem, commutativity of the triangle means that f=f~\u2218\u03c0 . In the right diagram, commutativity of the square means h\u2218f=k\u2218g Example 2 In order for the diagram below to commute, three equalities must b...
large_corpus_distillation
"Job control (Unix)-Overview-This creates at least three processes: one for grep, one for sort, and one for less. Job control allows the shell to control these related processes as one entity, and when a user issues the appropriate key combination (usually Control+Z), the entire group of processes gets suspended.\nJobs...
large_corpus_distillation
"Review site-Criticism-Most review sites make little or no attempt to restrict postings, or to verify the information in the reviews. Critics point out that positive reviews are sometimes written by the businesses or individuals being reviewed, while negative reviews may be written by competitors, disgruntled employees...
large_corpus_distillation
"High-level language computer architecture-Disadvantages-The fundamental problem is that HLLCAs only simplify the code generation step of compilers, which is typically a relatively small part of compilation, and a questionable use of computing power (transistors and microcode). At the minimum tokenization is needed, an...
large_corpus_distillation
"Cost distance analysis-Least-cost-path algorithm-Repeat the procedure until all cells are assigned."
large_corpus_distillation
and let max i\u2211S\u220bif^(S)2 . Suppose that \u2211S\u2260\u2205f^(S)2\u22641 . Then |Ex\u223c{\u22121,1}n\u2061[\u03c8(f(x))]\u2212Eg\u223cN(0,I)\u2061[\u03c8(f(g))]|=O(k9k\u03b5).\nBy choosing appropriate \u03c8 , this implies that the distributions of f under both measures are close in CDF distance, which is ...
large_corpus_distillation
"Private language argument-Notes-Remarks in Part I of Investigations are preceded by the symbol \"\u00a7\". Remarks in Part II are referenced by their Roman numeral or their page number in the third edition."
large_corpus_distillation
"Jokosher-GStreamer-Jokosher needs either the latest version of GStreamer and Gnonlin installed, or a Concurrent Versions System (CVS) checkout of GStreamer and Gnonlin compiled. This is because the newer versions of Gstreamer have features of which Jokosher is taking advantage. It also introduces many bug fixes that p...
large_corpus_distillation
"Rank-maximal allocation-Example-Three items, x y and z, have to be divided among three agents whose rankings are: Alice: x > y > z Bob: x > y > z Carl: y > x > zIn the allocation (x, y, z), Alice gets her 1st choice (x), Bob gets his 2nd choice (y), and Carl gets his 3rd choice (z). The rank-vector is thus (1,1,1)."
large_corpus_distillation
Stated another way, the recommendations were based on available content and on the user's taste profile.As well as discovery, the Jinni website included internet television, the online streaming of film and television, mostly for titles available in the United States. Jinni also linked to other sites that rented or sol...
large_corpus_distillation
the sample would be judged significantly positive at any significance level 109 13 0.0133 . The paradox is that, if \u03b1 is between 109 13 and 55 12 , then decreasing an insignificant sample causes it to appear significantly positive."
large_corpus_distillation
"Conjugate prior-Practical example-{\\textstyle \\lambda ={\\frac {3+4+1}{3}}\\approx 2.67.} Using this maximum likelihood estimate, we can compute the probability that there will be at least one car available on a given day: 2.67 2.67 2.67 2.67 0.93 {\\textstyle p(x>0|\\lambda \\approx 2.67)=1-p(x=0|\\lambda \\approx...
large_corpus_distillation
pc \u2264 pb \u2264 pa when (c, b, a) is a cyclic permutation of (1, 2, 3).All different values of p1, p2, p3 ordered as above are obtained with u running in the range u \u2265 1. The values u < 1 are brought into this range according to In the generalized solution, the form corresponding to eq. 2 applies only to the a...
large_corpus_distillation
"Entropic vector-Definition-Shannon's information entropy of a random variable X is denoted H(X) For a tuple of random variables X1,X2,\u2026,Xn , we denote the joint entropy of a subset Xi1,Xi2,\u2026,Xik as H(Xi1,Xi2,\u2026,Xik) , or more concisely as H(XI) , where I={i1,i2,\u2026,ik} . Here XI can be unders...
large_corpus_distillation
"Sect\u00e9ra Secure Module-Sect\u00e9ra Secure Module-The Sect\u00e9ra Secure Module is a device that can provide encryption of both voice and data. It is used in the Sect\u00e9ra Wireline Terminal for use with standard PSTN devices and has been incorporated into a slim module to use with a Motorola GSM cell phone. Th...
large_corpus_distillation
"Keep in mind that in realistic situations, you only know the ratings and not the \"true\" interval scale that underlies them. If you\nknew the interval scale, you would use it.\nThis page titled 1.9: Measurements is shared under a Public Domain license and was authored, remixed, and/or curated by David Lane via source...
large_corpus_distillation
"Integer set library-Integer set library-isl (integer set library) is a portable C library for manipulating sets and relations of integer points bounded by linear constraints.The following operations are supported: intersection, union, set difference emptiness check convex hull (integer) affine hull integer projection ...
large_corpus_distillation
"Plurality block voting-Casting and counting ballots-Block voting In a block voting election, all candidates run against each other for m number of positions, where m is commonly called the district magnitude. Each voter selects up to m candidates on the ballot. Each of the voters have m votes, and are able to cast no ...
large_corpus_distillation
"Hierarchical clustering-Divisive clustering-The basic principle of divisive clustering was published as the DIANA (DIvisive ANAlysis clustering) algorithm. Initially, all data is in the same cluster, and the largest cluster is split until every object is separate.\nBecause there exist O(2n) ways of splitting each clu...
large_corpus_distillation
"Kite balloon-Design and development-Developed in Germany from 1893 by Parseval and Sigsfeld, the main component of a kite balloon is its tubular-shaped envelope, similar to that of a non-rigid airship, giving it its British and French nicknames of \"sausage\". This was inclined at a nose up angle to about 30\u201340\u...
large_corpus_distillation
"Higher residuosity problem-Applications-The semantic security of the Benaloh cryptosystem and the Naccache\u2013Stern cryptosystem rests on the intractability of this problem."
large_corpus_distillation
"Contextual image classification-Applications-Present the pixel: A pixel is denoted as x0 The neighbourhood of each pixel x0 is a vector and denoted as N(x0) The values in the neighbourhood vector is denoted as f(xi) Each pixel is presented by the vector \u03be=(f(x0),f(x1),\u2026,f(xk)) xi\u2208N(x0);i=1,\u2026,k ...
large_corpus_distillation
"Automated exception handling-Advantages-This mechanism enables the automated handling of software errors independent of the application source code and of its developers. It is a direct artifact of the runtime engine paradigm and it enables unique advantages to the software lifecycle that were unavailable before."
large_corpus_distillation
"Latent Dirichlet allocation-Inference-Let nj,ri be the number of word tokens in the jth document with the same word symbol (the rth word in the vocabulary) assigned to the ith topic. So, nj,ri is three dimensional. If any of the three dimensions is not limited to a specific value, we use a parenthesized point (\...
large_corpus_distillation
"Reed\u2013Solomon error correction-Constructions (encoding)-Once it has been found, it is evaluated at the other points ak+1,\u2026,an of the field.\nThe alternative encoding function C:Fk\u2192Fn for the Reed\u2013Solomon code is then again just the sequence of values: Since the first k entries of each codeword C...
large_corpus_distillation
"Call gate (Intel)-Usage-Assuming a call gate has been set up already by the operating system kernel, code simply does a CALL FAR with the necessary segment selector (the offset field is ignored). The processor will perform a number of checks to make sure the entry is valid and the code was operating at sufficient priv...
large_corpus_distillation
"Model selection-Two directions of model selection-In line with the two different objectives, model selection can also have two directions: model selection for inference and model selection for prediction. The first direction is to identify the best model for the data, which will preferably provide a reliable character...
large_corpus_distillation
trees are labeled with actual numbers for failure probabilities, computer programs can calculate failure probabilities from fault trees. When a specific event is found to have more than one effect event, i.e. it has impact on several subsystems, it is called a common cause or common mode. Graphically speaking, it means...
large_corpus_distillation
The posteriors we need are\np(i|t) = P (X(t) = i|y ,...,y ) (16)\n1 n\np(i,j|t) = P (X(t) = i,X(t +1) = j|y ,...,y ) (17)\n1 n\nCite as: Tommi Jaakkola, course materials for 6.867 Machine Learning, Fall 2006. MIT OpenCourseWare\n(http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]...
large_corpus_distillation
"Unit fraction-Applications-Probability and statistics In a uniform distribution on a discrete space, all probabilities are equal unit fractions. Due to the principle of indifference, probabilities of this form arise frequently in statistical calculations.Unequal probabilities related to unit fractions arise in Zipf's ...
large_corpus_distillation
"Elliptic curve primality-Atkin\u2013Morain elliptic curve primality test (ECPP)-If s satisfies the inequality, and its prime factors satisfy the above, then N is prime.\nSo in our case, we choose s = m = 143. Thus our possible pi 's are 11 and 13. First, it is clear that 143 167 1/4+1)2 , and so we need only check t...
large_corpus_distillation
"String (computer science)-String (computer science)-In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable. The latter may allow its elements to be mutated and the length changed, or it may be fixed (after creation). A string is generally c...
large_corpus_distillation
"Temporal expressions-Approaches-Similarly to NER systems, temporal expression taggers have been created either using linguistic grammar-based techniques or statistical models. Hand-crafted grammar-based systems typically obtained better results, but at the cost of months of work by experienced linguists. There are man...
large_corpus_distillation
"6.867 Machine learning, lecture 11 (Jaakkola) 1\nLecture topics: model selection criteria\n\u2022 Minimum description length (MDL)\n\u2022 Feature (subset) selection\nModel selection criteria: Minimum description length (MDL)\nThe minimum description length criterion (MDL) turns the model selection problem into a\ncom...
large_corpus_distillation
"Euclidean distance-Properties-The Euclidean distance is the prototypical example of the distance in a metric space, and obeys all the defining properties of a metric space: It is symmetric, meaning that for all points p and q , d(p,q)=d(q,p) . That is (unlike road distance with one-way streets) the distance between...
large_corpus_distillation
"Affinity propagation-Algorithm-Let x1 through xn be a set of data points, with no assumptions made about their internal structure, and let s be a function that quantifies the similarity between any two points, such that s(i, j) > s(i, k) iff xi is more similar to xj than to xk. For this example, the negative squared d...
large_corpus_distillation
time is likely to affect the synapses rather than the organization of VIP circuits."
large_corpus_distillation
"Secure Network Programming-Secure Network Programming-SNP's secure sockets support both stream and datagram semantics with security guarantees (i.e., data origin authenticity, data destination authenticity, data integrity, and data confidentiality). Many of the ideas and design choices in SNP can be found in subsequen...
large_corpus_distillation
"Fuzzy retrieval-Paice model-The Paice model is a general extension to the MMM model. In comparison to the MMM model that considers only the minimum and maximum weights for the index terms, the Paice model incorporates all of the term weights when calculating the similarity: S(D,Q)=\u2211i=1nri\u22121\u2217wdi\u2211j=1...
large_corpus_distillation
leads to another issue of finding experts and people qualified enough to conduct this evaluation. However, if you have close resources of experts and qualified evaluators, this wouldn\u2019t pose an issue. In addition, because the evaluations are more just personal observations, there\u2019s no hard data in the results...
large_corpus_distillation
"Stability (learning theory)-Stability (learning theory)-Stability can be studied for many types of learning problems, from language learning to inverse problems in physics and engineering, as it is a property of the learning process rather than the type of information being learned. The study of stability gained impor...
large_corpus_distillation
"Stropping (syntax)-Similar techniques-These names may be interpreted by the compiler and have some effect, though this is generally done at the semantic analysis phase, not the tokenization phase. For example, in Python, a single leading underscore is a weak private indicator, and affects which identifiers are importe...
large_corpus_distillation
"Montecito (processor)-Architectural Features and Attributes-Eliminates the hardware-based x86 instruction emulation circuitry, in favor of the more efficient software-based IA-32 Execution Layer.[2]On October 25, 2005 Intel announced that the first dual-core Itanium processor would be delayed until \"the middle of nex...
large_corpus_distillation
"Affirmation and negation-Negation-Negation of other elements Negation can be applied not just to whole verb phrases, clauses or sentences, but also to specific elements (such as adjectives and noun phrases) within sentences. This contrast is usually labeled sentential negation versus constituent negation. Ways in whic...
large_corpus_distillation
"Fast syndrome-based hash-Description of the hash function-The basis of this function consists of a (randomly chosen) binary r\u00d7n matrix H which acts on a message of n bits by matrix multiplication. Here we encode the log \u2061(n/w) -bit message as a vector in (F2)n , the n -dimensional vector space over the...
large_corpus_distillation
"8.R: Chapter 8 Review Exercises\nTrue or False? Justify your answer with a proof or a counterexample.\n1) The differential equation\ny\u2032 =3x2y\u2212cos(x)y\u2032\u2032\nis linear.\n2) The differential equation y\u2032 =x\u2212y is separable.\nAnswer\nF\n3) You can explicitly solve all first-order differential equa...
large_corpus_distillation
the product.\nAgain, consider an example with real numbers.\nIt is important to note that neither subtraction nor division is commutative. For example, is not the same as\nSimilarly,\nAssociative Properties\nTheassociative property of multiplicationtells us that it does not matter how we group numbers when multiplying....
large_corpus_distillation
"Mass media-Professions involving mass media-News-oriented journalism is sometimes described as the \"first rough draft of history\" (attributed to Phil Graham), because journalists often record important events, producing news articles on short deadlines. While under pressure to be first with their stories, news media...
large_corpus_distillation
"OFFSystem-Functional Principle-Store Procedure In order to store a file into the local OFFS storage, resp. block cache, choose the tuple size t (default 3), split the source file s into blocks si of size 128 KiB (pad with random data to fit) and for each, do the following: Select t\u22121 blocks for use as randomi...
large_corpus_distillation
"Benford's law-Statistical tests-Although the chi-squared test has been used to test for compliance with Benford's law it has low statistical power when used with small samples."
large_corpus_distillation
"Sentence extraction-Procedure-Usually, a combination of heuristics is used to determine the most important sentences within the document. Each heuristic assigns a (positive or negative) score to the sentence. After all heuristics have been applied, the highest-scoring sentences are included in the summary.\nThe indivi...
large_corpus_distillation
"Diagnosis code-Weaknesses in diagnostic coding-Focusing a code on one purpose lets other purposes unsatisfied. This has to be taken into account when advertising for any coding concept. The operability of coding is generally bound to purpose. Inter-referring must be subject of evolutionary development, as code structu...
large_corpus_distillation
"Instruction-level parallelism-Discussion-Speculative execution which allows the execution of complete instructions or parts of instructions before being certain whether this execution should take place. A commonly used form of speculative execution is control flow speculation where instructions past a control flow ins...
large_corpus_distillation
"Sprachbund-Examples-Many languages in the region are of the isolating (or analytic) type, with mostly monosyllabic morphemes and little use of inflection or affixes, though a number of Mon\u2013Khmer languages have derivational morphology.\nShared syntactic features include classifiers, object\u2013verb order and topi...
large_corpus_distillation
"Glasgow Haskell Compiler-Language-GHC complies with the language standards, both Haskell 98 and Haskell 2010.\nIt also supports many optional extensions to the Haskell standard: for example, the software transactional memory (STM) library, which allows for Composable Memory Transactions.\nExtensions to Haskell Many ex...
large_corpus_distillation
"Substitution cipher-In popular culture-Sherlock Holmes breaks a substitution cipher in \"The Adventure of the Dancing Men\". There, the cipher remained undeciphered for years if not decades; not due to its difficulty, but because no one suspected it to be a code, instead considering it childish scribblings.\nThe Al Bh...
large_corpus_distillation
"Presto (SQL query engine)-Architecture-Presto's architecture is very similar to other database management systems using cluster computing, sometimes called massively parallel processing (MPP). One coordinator works in sync with multiple workers. Clients submit SQL statements that are parsed and planned, following whic...
large_corpus_distillation
"Graphics Core Next-Microarchitectures-Every SIMD-VU has room for 512 scalar registers and 256 vector registers.\nCU scheduler The CU scheduler is the hardware functional block, choosing which wavefronts the SIMD-VU executes. It picks one SIMD-VU per cycle for scheduling. This is not to be confused with other hardware ...
large_corpus_distillation
"Data remanence-Complications-Advanced storage systems Data storage systems with more sophisticated features may make overwrite ineffective, especially on a per-file basis. For example, journaling file systems increase the integrity of data by recording write operations in multiple locations, and applying transaction-l...
large_corpus_distillation
"21 (number)-In science-The atomic number of scandium.\nIt is very often the day of the solstices in both June and December, though the precise date varies by year."
large_corpus_distillation
"Safe and Sophie Germain primes-Properties-Modular restrictions With the exception of 7, a safe prime q is of the form 6k \u2212 1 or, equivalently, q \u2261 5 (mod 6) \u2013 as is p > 3. Similarly, with the exception of 5, a safe prime q is of the form 4k \u2212 1 or, equivalently, q \u2261 3 (mod 4) \u2014 trivially ...
large_corpus_distillation
the type of the second \u03b1 is four higher than the type of the first (two higher if a type level pair is used). The assertion which is true and provable in NFU is that the order type of the natural order on the ordinals less than \u03b1 is T4(\u03b1) for any ordinal \u03b1 , where T(\u03b1) is the order type of...
large_corpus_distillation
"2.7 \u2022 Linear Inequalities and Absolute Value Inequalities 193\nEXAMPLE3\nDemonstrating the Addition Property\nIllustrate the addition property for inequalities by solving each of the following:\n1. \u24d0\n2. \u24d1\n3. \u24d2\nSolution\nThe addition property for inequalities states that if an inequality exists, ...
large_corpus_distillation
"Intersection (set theory)-Nullary intersection-However, when restricted to the context of subsets of a given fixed set X , the notion of the intersection of an empty collection of subsets of X is well-defined. In that case, if M is empty, its intersection is for all A\u2208\u2205} . Since all x\u2208X vacuously ...
large_corpus_distillation
"Read-copy-update-Detailed description-The first state shows a global pointer named gptr that is initially NULL, colored red to indicate that it might be accessed by a reader at any time, thus requiring updaters to take care. Allocating memory for a new structure transitions to the second state. This structure has inde...
large_corpus_distillation
"Google Cloud Print-Privacy-Documents printed via Google Cloud Print were sent to Google's servers for transmission to the printer. Google stated that they stored each document queued for printing, \"but only for so long as the printing job is active and not complete\". And: \"Documents you send to print are your perso...
large_corpus_distillation
"Training, validation, and test data sets-Confusion in terminology-Testing is trying something to find out about it (\"To put to the proof; to prove the truth, genuineness, or quality of by experiment\" according to the Collaborative International Dictionary of English) and to validate is to prove that something is va...
large_corpus_distillation
"Public key certificate-Types of certificate-TLS/SSL client certificate Client certificates authenticate the client connecting to a TLS service, for instance to provide access control. Because most services provide access to individuals, rather than devices, most client certificates contain an email address or personal...
large_corpus_distillation
"Salt tolerance of crops-Augmenting tolerance-Presently a considerable amount of research is undertaken to develop agricultural crops with a higher salt tolerance to enhance crop cultivation in salinity stricken regions."
large_corpus_distillation
program must load the full word, mask off the old value of that code point, shift the new value into place, merge the values, and store the full word back: sll $r1, $r1, 16 # Shift the new value left by 16 lhi $r5, 0x00FF # Construct a constant mask to select the third byte nor $r5, $r5, $zero # Flip the mask so that i...
large_corpus_distillation
"220 3 \u2022 Functions\n...\nHOW TO\nGiven the formula for a function, evaluate.\n1. Substitute the input variable in the formula with the value provided.\n2. Calculate the result.\nEXAMPLE6\nEvaluating Functions at Specific Values\nEvaluate at:\n\u24d0 \u24d1 \u24d2 \u24d3 Now evaluate\nSolution\nReplace the in the f...
large_corpus_distillation
"MCST-R1000-MCST-R1000-The MCST R1000 (Russian: \u041c\u0426\u0421\u0422 R1000) is a 64-bit microprocessor developed by Moscow Center of SPARC Technologies (MCST) and fabricated by TSMC.During development this microprocessor was designated as MCST-4R."
large_corpus_distillation
"Catastrophic cancellation-Catastrophic cancellation-For example, if there are two studs, one 253.5 cm long and the other 252.5 cm long, and they are measured with a ruler that is good only to the centimeter, then the approximations could come out to be 254 cm and 252 cm These may be good approximations, in relativ...
large_corpus_distillation
"Exception safety-Example-Consider a smart vector type, such as C++'s std::vector or Java's ArrayList. When an item x is added to a vector v, the vector must actually add x to the internal list of objects and update a count field that says how many objects are in v. It may also need to allocate new memory if the existi...
large_corpus_distillation
"Computational geometry-Combinatorial computational geometry-Dynamic problems Yet another major class is the dynamic problems, in which the goal is to find an efficient algorithm for finding a solution repeatedly after each incremental modification of the input data (addition or deletion input geometric elements). Algo...
large_corpus_distillation
"Latency oriented processor architecture-Implementation techniques-Out-of-order execution Not all instructions in a thread take the same amount of time to execute. Superscalar pipelines usually have multiple possible paths for instructions depending upon current state and the instruction type itself. Hence, to increase...
large_corpus_distillation