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"Omega and agemo subgroup-Examples-The quaternion group of order 8, H, satisfies \u03a9(H) = \u2127(H) = Z(H) = [ H, H ] = \u03a6(H) = Soc(H) is the unique subgroup of order 2, normally realized as the subgroup containing only 1 and \u22121." | large_corpus_distillation |
"1.1E: Exercises for Section 1.1\nFor exercises 1 - 6, (a) determine the domain and the range of each relation, and (b) state whether the relation is a function.\n1)\nx y x y\n-3 9 1 1\n-2 4 2 4\n-1 1 3 9\n0 0\nAnswer\na. Domain = {\u22123,\u22122,\u22121,0,1,2,3}, Range = {0,1,4,9}\nb. Yes, a function\n2)\nx y x y\n-3... | large_corpus_distillation |
"IBM Db2-History-Traditional transaction processing databases were not able to provide the insight business leaders needed to make data-informed decisions. A new approach was needed to aggregate and analyze data from multiple transactional sources to deliver new insights, uncover patterns and find hidden relationships ... | large_corpus_distillation |
"Version control-Overview-Moreover, in software development, legal and business practice, and other environments, it has become increasingly common for a single document or snippet of code to be edited by a team, the members of which may be geographically dispersed and may pursue different and even contrary interests. ... | large_corpus_distillation |
"CFS (file format)-Technical Information-Unicode file names All file names and the system ID and volume ID fields of the supplementary volume descriptor are encoded as UCS-2, big-endian.\nFile name lengths are limited by the 8 bit file record size to 110 16 bit characters." | large_corpus_distillation |
calculation cannot) that under this squared-loss function the consequence of underestimating large values of \u03c32 is more costly in squared-loss terms than that of overestimating small values of \u03c32." | large_corpus_distillation |
"Memory access pattern-Examples-Sequential The simplest extreme is the sequential access pattern, where data is read, processed, and written out with straightforward incremented/decremented addressing. These access patterns are highly amenable to prefetching.\nStrided Strided or simple 2D, 3D access patterns (e.g., ste... | large_corpus_distillation |
"Maximum inner-product search-Maximum inner-product search-Maximum inner-product search (MIPS) is a search problem, with a corresponding class of search algorithms which attempt to maximise the inner product between a query and the data items to be retrieved. MIPS algorithms are used in a wide variety of big data appli... | large_corpus_distillation |
"Representation theory of finite groups-Definition-A basis of V can be indexed by the elements of X.\nThe permutation representation is the group homomorphism GL (V) given by \u03c1(s)ex=es.x for all s\u2208G,x\u2208X.\nAll linear maps \u03c1(s) are uniquely defined by this property.\nExample. Let X={1,2,3} and ... | large_corpus_distillation |
is the set E of all the elements of the matroid. An equivalent definition is that a coatom is a subset of E that does not span M, but such that adding any other element to it does make a spanning set.The family H of hyperplanes of a matroid has the following properties, which may be taken as yet another axiomatizatio... | large_corpus_distillation |
"K-stability-Alternative Notions-Filtration K-Stability Work of Apostolov\u2013Calderbank\u2013Gauduchon\u2013T\u00f8nnesen-Friedman shows the existence of a manifold which does not admit any extremal metric, but does not appear to be destabilised by any test configuration. This suggests that the definition of K-stabil... | large_corpus_distillation |
"One-way compression function-One-way compression function-One-way compression functions are for instance used in the Merkle\u2013Damg\u00e5rd construction inside cryptographic hash functions.\nOne-way compression functions are often built from block ciphers." | large_corpus_distillation |
"KeY-Additional features-Symbolic Execution Debugger The Symbolic Execution Debugger visualizes the control flow of a program as a symbolic execution tree that contains all feasible execution paths through the program up to a certain point. It is provided as a plugin to the Eclipse development platform.\nTest Case Gene... | large_corpus_distillation |
actionable in software, automating their application on user's request." | large_corpus_distillation |
"Constituent (linguistics)-Tests for constituents in English-(a) Who would put off the customers? (Who \u2194 Drunks) (b) Who would drunks put off? (Who \u2194 the customers) (c) What would drunks do? (What...do \u2194 put off the customers)These examples suggest that Drunks, the customers, and put off the customers ar... | large_corpus_distillation |
so\n\u2207 \u21c0 f(x,y) =f (x,y)^i+f (x,y)^j\nx y\n=(2x\u2212y)^i+(\u2212x+6y)^j.\nb. f x (x,y)=3cos3xcos3y and f y (x,y)=\u22123sin3xsin3y, so\n\u2207 \u21c0 f(x,y) =f (x,y)^i+f (x,y)^j\nx y\n=(3cos3xcos3y)^i\u2212(3sin3xsin3y)^j.\n\uf128 Exercise 14.6.2\n\u21c0\nx2\u22123y2\nFind the gradient \u2207f(x,y) of f(x,y)=... | large_corpus_distillation |
"Probable prime-Variations-An Euler probable prime to base a is an integer that is indicated prime by the somewhat stronger theorem that for any prime p, a(p\u22121)/2 equals (ap) modulo p, where (ap) is the Jacobi symbol. An Euler probable prime which is composite is called an Euler\u2013Jacobi pseudoprime to base a... | large_corpus_distillation |
"Indexing software-Features-Tagging allows indexing codes to be embedded in the text after the indexing is complete. The indexer inserts numbered dummy tags in the files, and then builds the index separately Many word processors and desktop publishing software have integrated automated indexing functions. These tools b... | large_corpus_distillation |
"Linear regression-Extensions-Heteroscedastic models Various models have been created that allow for heteroscedasticity, i.e. the errors for different response variables may have different variances. For example, weighted least squares is a method for estimating linear regression models when the response variables may ... | large_corpus_distillation |
"Reactive armour-Explosive reactive armour-To be effective against kinetic energy projectiles, ERA must use much thicker and heavier plates and a correspondingly thicker explosive layer. Such heavy ERA, such as the Soviet-developed Kontakt-5, can break apart a penetrating rod that is longer than the ERA is deep, again ... | large_corpus_distillation |
"SuperMemo-Algorithms-5: Correct response with perfect recall.The following algorithm is then applied to update the three variables associated with the card: algorithm SM-2 is input: user grade q repetition number n easiness factor EF interval I output: updated values of n, EF, and I if q \u2265 3 (correct response) th... | large_corpus_distillation |
taking into account all of its structures without specifying an individual structure." | large_corpus_distillation |
"Mobile deep linking-Deferred deep linking-Deferred deep linking is one aspect of mobile deep linking. It describes the principle of deep linking into an app that is not yet installed. In this case, deep linking will be \"deferred\" until the application is installed by the user. This implies that clicking (or otherwis... | large_corpus_distillation |
"Traffic collision-Causes-Common features designed to improve safety include thicker pillars, safety glass, interiors with no sharp edges, stronger bodies, other active or passive safety features, and smooth exteriors to reduce the consequences of an impact with pedestrians.\nThe UK Department for Transport publish roa... | large_corpus_distillation |
"Cold boot attack-Circumventing full disk encryption-There are two potential areas in modern x86 processors for storing keys: the SSE registers which could in effect be made privileged by disabling all SSE instructions (and necessarily, any programs relying on them), and the debug registers which were much smaller but ... | large_corpus_distillation |
"Interpersonal ties-Social networks-Further research is needed to examine the ways in which types of information, numbers of ties, quality of ties, and trust levels interact to affect the spreading of information." | large_corpus_distillation |
"Hypergeometric distribution-Properties-Working example The classical application of the hypergeometric distribution is sampling without replacement. Think of an urn with two colors of marbles, red and green. Define drawing a green marble as a success and drawing a red marble as a failure (analogous to the binomial dis... | large_corpus_distillation |
"Population protocol-Model-Protocols are often designed to minimize the convergence time or the amount of memory required per node or both." | large_corpus_distillation |
"Tate\u2013Shafarevich group-Cassels\u2013Tate pairing-The Cassels\u2013Tate pairing is a bilinear pairing \u0428(A) \u00d7 \u0428(\u00c2) \u2192 Q/Z, where A is an abelian variety and \u00c2 is its dual. Cassels introduced this for elliptic curves, when A can be identified with \u00c2 and the pairing is an alternating... | large_corpus_distillation |
"Computational learning theory-Overview-Theoretical results in machine learning mainly deal with a type of inductive learning called supervised learning. In supervised learning, an algorithm is given samples that are labeled in some useful way. For example, the samples might be descriptions of mushrooms, and the labels... | large_corpus_distillation |
source code that varies with each computer environment." | large_corpus_distillation |
"Control flow-Loops-The following example is done in Ada which supports both early exit from loops and loops with test in the middle. Both features are very similar and comparing both code snippets will show the difference: early exit must be combined with an if statement while a condition in the middle is a self-conta... | large_corpus_distillation |
"Software project management-Software development process-Maintenance and update is the process where Requirements and customer needs are always involving. They will undoubtedly find bugs, may request new features and ask for different functionality and more updates. So, all of these requests need to check and fulfill ... | large_corpus_distillation |
"Geographical feature-Types of features-Landforms A landform comprises a geomorphological unit and is largely defined by its surface form and location in the landscape, as part of the terrain, and as such is typically an element of topography. Landforms are categorized by features such as elevation, slope, orientation,... | large_corpus_distillation |
"Multiplication-Multiplication of different kinds of numbers-Alternatively, in trigonometric form, if cos sin cos sin \u2061\u03d52) , then cos sin {\\textstyle z_{1}z_{2}=r_{1}r_{2}(\\cos(\\phi _{1}+\\phi _{2})+i\\sin(\\phi _{1}+\\phi _{2})).} Further generalizations See Multiplication in group theory, above, and mul... | large_corpus_distillation |
"f. Show that Pr{\u22c2\u221e n=1 A n }=lim n\u2192\u221e Pr{\u22c2n i=1 A i }. Hint: Remember deMorgan\u2019s equali ties.\nAnswer\n\uf128 Exercise 1.5\nConsider a sample space of 8 equiprobable sample points and let A 1 ,A 2 ,A 3 be three events each of probability 1/2 such that\nPr{A\n1\nA\n2\nA\n3\n}=Pr{A\n1\n}Pr{A... | large_corpus_distillation |
"Elementary comparison testing-Example-This example shows ETC applied to a holiday booking system. The discount system offers reduced-price vacations. The offered discounts are 20 % for members or for expensive vacations, 10 % for moderate vacations with workday departures, and 0% otherwise. The example shows the cr... | large_corpus_distillation |
working path by some threshold (e.g., an order of magnitude better BER). Consecutively, any case of failure drops in SNCP's decision mechanism." | large_corpus_distillation |
"Stein's lemma-More general statement-Isserlis' theorem is equivalently stated aswhere (X1,\u2026Xn) is a zero-mean multivariate normal random vector.\nSuppose X is in an exponential family, that is, X has the density exp \u2061(\u03b7\u2032T(x)\u2212\u03a8(\u03b7))h(x).\nSuppose this density has support (a,b) where ... | large_corpus_distillation |
"Lexicology-Semantics-The subfield of semantics that pertains especially to lexicological work is called lexical semantics. In brief, lexical semantics contemplates the significance of words and their meanings through several lenses, including synonymy, antonymy, hyponymy, and polysemy, among others. Semantic analysis ... | large_corpus_distillation |
more likely to be the correct one. If a key is reused, it will noticeably be the only key that produces sensible plaintexts from both ciphertexts (the chances of some random incorrect key also producing two sensible plaintexts are very slim)." | large_corpus_distillation |
"Immortality-Physical immortality-Research on neural correlates of consciousness is yet inconclusive on this issue. Whatever the route to mind upload, persons in this state could then be considered essentially immortal, short of loss or traumatic destruction of the machines that maintained them." | large_corpus_distillation |
"Document-oriented database-Documents-The central concept of a document-oriented database is the notion of a document. While each document-oriented database implementation differs on the details of this definition, in general, they all assume documents encapsulate and encode data (or information) in some standard forma... | large_corpus_distillation |
data, which, while having a larger number of outliers, he still believes has reasonable accuracy for use." | large_corpus_distillation |
"Conditional entropy-Properties-Conditional entropy equals zero H(Y|X)=0 if and only if the value of Y is completely determined by the value of X Conditional entropy of independent random variables Conversely, H(Y|X)=H(Y) if and only if Y and X are independent random variables." | large_corpus_distillation |
"Prior-independent mechanism-Single-item auctions-For a 1\u2212\u03f5 -approximation of the optimal expected revenue, when the bidders are i.i.d OR when there is an unlimited supply of items (digital goods), the sample-complexity is O(1/\u03f52) when the agents' distributions have monotone hazard rate, and O(1/\u03f... | large_corpus_distillation |
"Extreme project management-Extreme vs traditional project management-Extreme projects are characterized by: Low possibility of failure Short deadlines Paramount innovation Important quality of lifeTraditional project management utilizes the \"waterfall method\", whose purpose is to plan project activity in a straight... | large_corpus_distillation |
"Audioshield-Reception-Audioshield got generally favorable reviews from critics, with an 81/100 score on Metacritic. Some praised Audioshield for its innovative approach to the music game genre, while others opined that the game lacked replayability, even with a large variety of songs." | large_corpus_distillation |
"Hypergraph removal lemma-Proof idea for 3-uniform hypergraphs-In addition to this, we need to further regularize G1(2),\u2026,Gl(2) via a partition of the vertex set. As a result, we have the total data of hypergraph regularity as follows: a partition of E(Kn) into graphs such that G(3) sits pseudorandomly on top; ... | large_corpus_distillation |
(4.8.13)\nNext is the fundamental result that L(Y \u2223X) is the affine function of X that is closest to Y in the mean square sense.\nSuppose that U\u2208Rn is an affine function of X. Then\n1. E(\u2225Y\u2212L(Y \u2223X)\u22252)\u2264E(\u2225Y\u2212U\u22252)\n2. Equality holds in (a) if and only if U=L(Y \u2223X) wit... | large_corpus_distillation |
"239 (number)-239 (number)-239/169 is a convergent of the continued fraction of the square root of 2, so that 2392 = 2 \u00b7 1692 \u2212 1.\nRelated to the above, \u03c0/4 rad = 4 arctan(1/5) \u2212 arctan(1/239) = 45\u00b0.\n239 \u00b7 4649 = 1111111, so 1/239 = 0.0041841 repeating, with period 7.\n239 can be written... | large_corpus_distillation |
channel meets its bandwidth, latency, and other quality-of-service requirements. Packets interleaved in this fashion are treated as indivisible, and are not interleaved on the fragment level." | large_corpus_distillation |
x {\\textstyle x} is the original image, x \u2032 {\\textstyle x^{\\prime }} is the adversarial image, d {\\textstyle d} is a distance function between images, c \u2217 {\\textstyle c^{*}} is the target label, and C {\\textstyle C} is the model's classification class label function: To solve this problem, the attac... | large_corpus_distillation |
"Dimension (vector space)-Properties-If W is a linear subspace of V then dim dim \u2061(V).\nTo show that two finite-dimensional vector spaces are equal, the following criterion can be used: if V is a finite-dimensional vector space and W is a linear subspace of V with dim dim \u2061(V), then W=V.\nThe space R... | large_corpus_distillation |
"Strong prime-Application of strong primes in cryptography-Discrete-logarithm-based cryptosystems It is shown by Stephen Pohlig and Martin Hellman in 1978 that if all the factors of p \u2212 1 are less than logc p, then the problem of solving discrete logarithm modulo p is in P. Therefore, for cryptosystems based on di... | large_corpus_distillation |
"SNAP (programming language)-Example-If it does find a word-breaking character, it jumps to BACKUP, which backs up one character to skip the punctuation it just examined. It then naturally falls through to the OUTPUT ACTION. That code prints out the string between the starting position in I to the current position in J... | large_corpus_distillation |
is that the entire data-structure can be kept under critical section so that only one operation is handled at a time. Another method is locking the node in use under critical section, so that other operations do not use the same node. Using critical section, thus, ensures that the code provides expected outputs." | large_corpus_distillation |
log|B\u00af| s|b|2\nIE(cid:20)max|Z\nb\n|(cid:21) \u2264 logXIE[exp(sZ\nb\n)] \u2264 + 2,\nb\u2208B s s 2n\nb\u2208B\u00af\nwhere in the last inequality, we used (4.2). Optimizing over s > 0 yields the desired\nresult.\n30" | large_corpus_distillation |
"Bicircular matroid-Minors-Unlike transversal matroids in general, bicircular matroids form a minor-closed class; that is, any submatroid or contraction of a bicircular matroid is also a bicircular matroid, as can be seen from their description in terms of biased graphs (Zaslavsky 1991). Here is a description of delet... | large_corpus_distillation |
"Convolutional sparse coding-Sparse coding paradigm-Algorithm 1: 1D CSC via local iterative soft-thresholding.\nInput: D L {\\textstyle \\mathbf {D} _{L}} : Local Dictionary, y {\\textstyle \\mathbf {y} } : observation, \u03bb {\\textstyle \\lambda } : Regularization parameter, c {\\textstyle c} : step size for ISTA, t... | large_corpus_distillation |
"Near-field (mathematics)-Classification-As mentioned above, Zassenhaus proved that all finite near fields either arise from a construction of Dickson or are one of seven exceptional examples. We will describe this classification by giving pairs (A,M) where A is an abelian group and M is a group of automorphisms of ... | large_corpus_distillation |
"Simulation hypothesis-In physics-In physics, the view of the universe and its workings as the ebb and flow of information was first observed by Wheeler. Consequently, two views of the world emerged: the first one proposes that the universe is a quantum computer, while the other one proposes that the system performing ... | large_corpus_distillation |
of addressing modes leads to a profusion of slightly different instructions. Considering a one-address ISA, for even a single instruction, ADD, we now have many possible \"addressing modes\": Immediate (constant): ADD.C constant 1 \u2014 adds the constant value to the result in the accumulator Direct address: ADD.A add... | large_corpus_distillation |
S N(t)+1 is the epoch of the first arrival strictly after time t.\nWe want to show intuitively why the slope N(t)/t in the figure approaches 1/X\u00af as t\u2192\u221e. As t increases, we would guess that\nN(t) increases without bound, i.e., that for each arrival, another arrival occurs eventually. Assuming this, the l... | large_corpus_distillation |
"Suffix tree-External construction-Though linear, the memory usage of a suffix tree is significantly higher than the actual size of the sequence collection. For a large text, construction may require external memory approaches.\nThere are theoretical results for constructing suffix trees in external memory.\nThe algori... | large_corpus_distillation |
"Windows Mobile-Features-Most versions of Windows Mobile have a standard set of features, such as multitasking and the ability to navigate a file system similar to that of Windows 9x and Windows NT, including support for many of the same file types. Similarly to its desktop counterpart, it comes bundled with a set of a... | large_corpus_distillation |
where x is distributed according to some unknown distribution D. The learner's goal is to output a hypothesis function h such that h(x)=c(x) with high probability when x is drawn according to D. The learner has to be able to produce such an 'approximately correct' h for every D and every target concept c in its concept... | large_corpus_distillation |
"SHA-2-Cryptanalysis and validation-Official validation Implementations of all FIPS-approved security functions can be officially validated through the CMVP program, jointly run by the National Institute of Standards and Technology (NIST) and the Communications Security Establishment (CSE). For informal verification, a... | large_corpus_distillation |
"Universal hashing-Introduction-Given a family with the uniform distance property, one can produce a pairwise independent or strongly universal hash family by adding a uniformly distributed random constant with values in [m] to the hash functions. (Similarly, if m is a power of two, we can achieve pairwise independen... | large_corpus_distillation |
"Computationally bounded adversary-Comparison to other models-Worst-case model At first glance, the worst-case model seems intuitively ideal. The guarantee that an algorithm will succeed no matter what is, of course, highly alluring. However, it demands too much. A real-life adversary cannot spend an indefinite amount ... | large_corpus_distillation |
"Predicate functor logic-Kuhn's formalization-This section is built around the primitive predicate functors and a few defined ones. The alethic functors can be axiomatized by any set of axioms for sentential logic whose primitives are negation and one of \u2227 or \u2228. Equivalently, all tautologies of sentential log... | large_corpus_distillation |
"Cost-based anti-spam systems-Proof-of-work systems-Proof-of-work systems such as hashcash and Penny Black require that a sender pay a computational cost by performing a calculation that the receiver can later verify. Verification must be much faster than performing the calculation, so that the computation slows down a... | large_corpus_distillation |
p-group (not necessarily elementary) onto which G surjects." | large_corpus_distillation |
"Comparison of free software for audio-Trackers-These music sequencer programs allow users to arrange notes (pitch-shifted sound samples) on a timeline: see tracker (music software)." | large_corpus_distillation |
"Chinese remainder theorem-Computation-On the current example (which has only three moduli), both strategies are identical and work as follows.\nB\u00e9zout's identity for 3 and 4 is 1." | large_corpus_distillation |
"Charactorama-Design principle-Story reinforcement - Choose proper character toy based on characters\u2019 personality and characteristics in the story.\nStory telling - Add narration to prepared story and show it on a big screen. Evaluate each other and choose the greatest story. Lastly share the lesson learned from s... | large_corpus_distillation |
the unaffected cables take over its load and continue to provide service. Primary feeder outages, as well as limiters and network protectors cleared because of previous faults, cause changes in load flow that are not readily detected, so their statuses may require a periodic inspection. The inherent system redundancy g... | large_corpus_distillation |
of generating 4 possible single bases on the right B\u2192SS bifurcation with a probability of 1 S\u2192W start with a probability of 1 E\u2192\u03f5 end with a probability of 1The model has 6 possible states and each state grammar includes different types of secondary structure probabilities of the non-terminals. The ... | large_corpus_distillation |
"Power set-Representing subsets as functions-This equivalence can be applied to the example above, in which S = {x, y, z}, to get the isomorphism with the binary representations of numbers from 0 to 2n \u2212 1, with n being the number of elements in the set S or |S| = n. First, the enumerated set { (x, 1), (y, 2), (z,... | large_corpus_distillation |
"Intensity of preference-Intensity of preference-This term is used in economics, politics, marketing, management science and other areas in which methods to derive the consensus ranking are developed.In an analysis of voting, for example, the intensity of preference is a measure of an individual voter's (or group of vo... | large_corpus_distillation |
"Reproducing kernel Hilbert space-Moore\u2013Aronszajn theorem-This shows that f=fH in G and concludes the proof." | large_corpus_distillation |
"Activity selection problem-Optimal solution-Once the greedy choice is made, the problem reduces to finding an optimal solution for the subproblem. If A is an optimal solution to the original problem S containing the greedy choice, then A\u2032=A\u2216{1} is an optimal solution to the activity-selection problem S\u20... | large_corpus_distillation |
"Centered hexagonal number-Recurrence and generating function-The centered hexagonal numbers H(n) satisfy the recurrence relation H(n+1)=H(n)+6n.\nFrom this we can calculate the generating function F(x)=\u2211n\u22650H(x)xn . The generating function satisfies F(x)=x+xF(x)+\u2211n\u226526nxn.\nThe latter term is the T... | large_corpus_distillation |
"The National Lottery Draws-Current shows-Lottery update On BBC One on Saturday nights straight after the BBC Weekend News (previously Match of the Day), a segment known as Lottery update is broadcast showing the results of the day's Lotto and Thunderball draws and also how many winners there are. The same thing is als... | large_corpus_distillation |
"Well-being contributing factors-Personal factors-Researchers found support for the notion of age changes inside the individual that affect happiness." | large_corpus_distillation |
"Cold start (recommender systems)-Systems affected-New user The new user case refers to when a new user enrolls in the system and for a certain period of time the recommender has to provide recommendation without relying on the user's past interactions, since none has occurred yet.\nThis problem is of particular import... | large_corpus_distillation |
"Rook's graph-Other properties-Perfection A rook's graph can also be viewed as the line graph of a complete bipartite graph Kn,m \u2014 that is, it has one vertex for each edge of Kn,m, and two vertices of the rook's graph are adjacent if and only if the corresponding edges of the complete bipartite graph share a commo... | large_corpus_distillation |
"Prism cover test-Advantages-Provides complete dissociation that gives the maximum angle of deviation Provides a comparison of distance and near deviations " | large_corpus_distillation |
"Nicholas J. Belkin-Works-Nicholas Belkin has approached information retrieval from the so-called cognitive models , that is, those focused on users who access document systems. Belkin approached his research from 3 basic lines: Empirical studies on the behavior of the user who searches information.\nThe creation of ex... | large_corpus_distillation |
"Market data-Technology solutions-Feed handlers A typical usage can be a \"feed handler\" solution. Applications (sources) receive data from specific feed and connect to a server (authority) which accepts connections from clients (destinations) and redistributes data further. When a client (Destination) wants to subscr... | large_corpus_distillation |
"Drama annotation-Drama across media and genres-The first attempts at attaching content metadata to media concerned text documents and were carried out by using markup languages, such as XML, which allow embedding content tags into the document text. With the advent of the Semantic Web project, descriptive tools have e... | large_corpus_distillation |
"OpenBSD security features-Memory protection-Developed by Hiroaki Etoh, ProPolice is a GCC extension designed to protect applications from stack-smashing attacks. It does this through a number of operations: local stack variables are reordered to place buffers after pointers, protecting them from corruption in case of ... | large_corpus_distillation |
"WASP-60-WASP-60-WASP-60 is a F-type main-sequence star about 1420 light-years away. The stars age is much younger than the Sun's at 1.7\u00b10.5 billion years. WASP-60 is enriched in heavy elements, having 180% of the solar abundance of iron. The star does not have noticeable starspot activity, an unexpected observati... | large_corpus_distillation |
"Non-malleable code-Application over tampering functions-With FBIT we denote the family which contains all tampering functions that tamper every bit independently. Formally, this family contains all functions fi:{0,1}n\u2192{0,1}n that are defined by n functions fi:{0,1}\u2192{0,1} (for i=1...n) as f(c1..cn)=f1(c1).... | large_corpus_distillation |
"ChucK-Language features-The ChucK programming language is a loosely C-like object-oriented language, with strong static typing.\nChucK is distinguished by the following characteristics: Direct support for real-time audio synthesis A powerful and simple concurrent programming model A unified timing mechanism for multi-... | large_corpus_distillation |
"Invariant factor-Invariant factor-The invariant factors of a matrix over a PID occur in the Smith normal form and provide a means of computing the structure of a module from a set of generators and relations." | large_corpus_distillation |
over the rational numbers, then the number \u03b11\u03b21\u03b12\u03b22\u22ef\u03b1n\u03b2n is transcendental." | large_corpus_distillation |
"Group (mathematics)-Basic concepts-Then there is a unique group law on G/N for which the map G\u2192G/N sending each element g to gN is a homomorphism.\nExplicitly, the product of two cosets gN and hN is (gh)N , the coset eN=N serves as the identity of G/N , and the inverse of gN in the quotient group is (g... | large_corpus_distillation |
"Exercise 6.18. Suppose a Markov chain with transition probabilities {P ij } is reversible. Suppose we change the transition\nprobabilities out of state 0 from {P 0j ;j\u22650} to {P 0 \u2032 j ;j\u22650}. Assuming that all P ij for i\u22600 are unchanged, what is the most\ngeneral way in which we can choose {P\u2032 ;... | large_corpus_distillation |
"Paxos (computer science)-Generalized Paxos-| | | | | | | | <ReadA, WriteB, ReadB> | | | | | | | | | | | | | | | | !! More conflicting proposals X-----------?|-----?|-?|-?| | | Propose(WriteA) | X--------?|-----?|-?|-?| | | Propose(ReadA) | | | | | | | | | | X------X-------------->|->| Accepted(N+1,<WriteA> . <ReadA>) ... | large_corpus_distillation |
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