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"Pfam-Features-Creation of new entries New families come from a range of sources, primarily the PDB and analysis of complete proteomes to find genes with no Pfam hit.For each family, a representative subset of sequences are aligned into a high-quality seed alignment. Sequences for the seed alignment are taken primarily... | large_corpus_distillation |
"\uf128 Exercise 9.3.6\nSuppose X is an uncountable set and Y \u2282X is countably infinite. Prove that X and X\u2212Y have the same cardinality.\nHint\nLet Y =Y 0. If X\u2212Y 0 is an infinite set, then by the previous problem it contains a countably infinite set Y 1. Likewise if\nX\u2212(Y 0 \u222aY 1 ) is infinite i... | large_corpus_distillation |
a C\u2212 for the assignment, while two students who contributed a large quantity of excellent material earned a grade of A+. Other grades ranged from B\u2212 to A." | large_corpus_distillation |
"Insertion sort-Best, worst, and average cases-The simplest worst case input is an array sorted in reverse order. The set of all worst case inputs consists of all arrays where each element is the smallest or second-smallest of the elements before it. In these cases every iteration of the inner loop will scan and shift ... | large_corpus_distillation |
"IBM alignment models-Model 1-In short, the EM algorithm goes as follows:INPUT. a corpus of English-foreign sentence pairs {(e(k),f(k))}k INITIALIZE. matrix of translations probabilities t(ex|fy) .This could either be uniform or random. It is only required that every entry is positive, and for each y , the probabili... | large_corpus_distillation |
space is partially\nordered. We can construct a partial order on the equivalence classes in the domain that are associated with the function.\nS T \u2aaf T f :S\u2192T \u2aaf S\nSuppose that and are sets and that T is a partial order on . Suppose also that . Define the relation S on\nx\u2aaf y f(x)\u2aaf f(y)\nby S if ... | large_corpus_distillation |
2003): The nesC language: A holistic approach to networked embedded systems, David Gay, Philip Levis, J. Robert von Behren, Matt Welsh, Eric Brewer, and David E. Culler 2012 (for 2002): Extended Static Checking for Java, Cormac Flanagan, K. Rustan M. Leino, Mark Lillibridge, Greg Nelson, James B. Saxe, and Raymie Stata... | large_corpus_distillation |
"Coefficient of determination-Coefficient of determination-It is a statistic used in the context of statistical models whose main purpose is either the prediction of future outcomes or the testing of hypotheses, on the basis of other related information. It provides a measure of how well observed outcomes are replicate... | large_corpus_distillation |
"T1 space-Examples-Then given distinct integers x and y :the open set O{x} contains y but not x, and the open set O{y} contains x and not y equivalently, every singleton set {x} is the complement of the open set O{x}, so it is a closed set; so the resulting space is T1 by each of the definitions above. This s... | large_corpus_distillation |
"Multidimensional network-Definition-By convention, the number of links between two nodes in a given dimension is either 0 or 1 in a multidimensional network. However, the total number of links between two nodes across all dimensions is less than or equal to |D| Weighted multilayer networks In the case of a weighted n... | large_corpus_distillation |
"Successive over-relaxation-Convergence-In particular, for \u03c9=1 (Gauss-Seidel) it holds that Jac )2 For the optimal \u03c9 we get \u03c1(C\u03c9)=1\u22121\u2212\u03bc21+1\u2212\u03bc2=\u03bc24+O(\u03bc3) , which shows SOR is roughly four times more efficient than Gauss\u2013Seidel. The last assumption is satis... | large_corpus_distillation |
"Walsh function-Generalizations-For an arbitrary Banach space (X,||\u22c5||) let {Rt}t\u2208D\u2282Aut(X) be a strongly continuous, uniformly bounded faithful action of D on X. For every \u03b3\u2208D^ , consider its eigenspace X\u03b3={x\u2208X:Rtx=\u03b3(t)x} . Then X is the closed linear span of the eigenspaces... | large_corpus_distillation |
"252 3 \u2022 Functions\n...\nHOW TO\nGiven a piecewise function, write the formula and identify the domain for each interval.\n1. Identify the intervals for which different rules apply.\n2. Determine formulas that describe how to calculate an output from an input in each interval.\n3. Use braces and if-statements to w... | large_corpus_distillation |
"Cycle space-Planar graphs-Nowhere-zero flows In planar graphs, colorings with k distinct colors are dual to nowhere-zero flows over the ring Zk of integers modulo k . In this duality, the difference between the colors of two adjacent regions is represented by a flow value across the edge separating the regions. In ... | large_corpus_distillation |
"100,000-100,000-100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105." | large_corpus_distillation |
"Cars for wheelchair users-Recent production models-Elbee is a vehicle created by Czech company ZLKL. The vehicle is officially categorised as a \"heavy all-terrain vehicle\" and has a maximum speed of 80 km/h. It uses a unique mechanism to allow the user to roll into or out of the vehicle: the user enters through a do... | large_corpus_distillation |
"Computer security compromised by hardware failure-Computer security compromised by hardware failure-Computer security compromised by hardware failure is a branch of computer security applied to hardware." | large_corpus_distillation |
"Distinguished space-Properties-Every locally convex distinguished space is an H-space." | large_corpus_distillation |
"Shadow heap-Shadow merge-Shadow merge is an algorithm for merging two binary heaps efficiently if these heaps are implemented as arrays. Specifically, the running time of shadow merge on two heaps A and B is min log log log log log \u2061|B|}) Algorithm We wish to merge the two binary min-heaps A and B . The algo... | large_corpus_distillation |
"Tree-depth-Tree-depth-In graph theory, the tree-depth of a connected undirected graph G is a numerical invariant of G , the minimum height of a Tr\u00e9maux tree for a supergraph of G . This invariant and its close relatives have gone under many different names in the literature, including vertex ranking number, or... | large_corpus_distillation |
"Constituent (linguistics)-Tests for constituents in English-Tests for constituents are diagnostics used to identify sentence structure. There are numerous tests for constituents that are commonly used to identify the constituents of English sentences. 15 of the most commonly used tests are listed next: 1) coordination... | large_corpus_distillation |
"SQL syntax-Queries-Subqueries Queries can be nested so that the results of one query can be used in another query via a relational operator or aggregation function. A nested query is also known as a subquery. While joins and other table operations provide computationally superior (i.e. faster) alternatives in many cas... | large_corpus_distillation |
"Bijection, injection and surjection-Bijection, injection and surjection-An injective function need not be surjective (not all elements of the codomain may be associated with arguments), and a surjective function need not be injective (some images may be associated with more than one argument). The four possible combin... | large_corpus_distillation |
"Closed convex function-Properties-If f:Rn\u2192R is a continuous function and dom f is closed, then f is closed." | large_corpus_distillation |
"Design of the FAT file system-Reserved sectors area-If this sector is present on a FAT32 volume, the minimum allowed logical sector size is 512 bytes, whereas otherwise it would be 128 bytes. Some FAT32 implementations support a slight variation of Microsoft's specification by making the FS information sector optional... | large_corpus_distillation |
"Recall (memory)-Factors that affect recall-Motivation Motivation is a factor that encourages a person to perform and succeed at the task at hand. In an experiment done by Roebers, Moga and Schneider (2001), participants were placed in either forced report, free report or free report plus incentive groups. In each grou... | large_corpus_distillation |
"Synthetic media-Branches of synthetic media-Image synthesis Image synthesis is the artificial production of visual media, especially through algorithmic means. In the emerging world of synthetic media, the work of digital-image creation\u2014once the domain of highly skilled programmers and Hollywood special-effects a... | large_corpus_distillation |
"Critical Metrics-Critical Metrics-Streaming audio and YouTube videos were presented with the original recommendations, along with the option to purchase via iTunes or other online retailers. When the site was launched in April 2007, it hosted the streaming music itself. A licensing arrangement with Rhapsody removed th... | large_corpus_distillation |
distribution.\nAs noted in the introduction, the following theorem provides the motivation for the name extreme value distribution.\n(X ,X ,\u2026)\nSuppose that 1 2 is a sequence of independent random variables, each with the standard exponential distribution.\nY =max{X ,X ,\u2026,X }\u2212lnn n\u2192\u221e\nThe distr... | large_corpus_distillation |
"Rubber band experiment-Ideal chain polymer-The free variables are the angles between links in the polymer. The longer the polymer the fewer possible permutations of angles exist resulting in length L. Using the definition of entropy in the ideal chain model ln \u2061\u03a9(L) where KB is the Boltzmann constant and \u... | large_corpus_distillation |
"Security modes-Compartmented security mode-In this mode of operation, all users must have: Signed NDA for ALL information on the system.\nProper clearance for ALL information on the system.\nFormal access approval for SOME information they will access on the system.\nA valid need to know for SOME information on the sy... | large_corpus_distillation |
"Stratagus-Programming-Basing on Lua as their primary scripting language, virtually all the abilities in the engine have been made available to the users of Stratagus for easy modding, removing the need to change the original C/C++ source. Animations are created from a set of .png pictures; this technique was commonly ... | large_corpus_distillation |
"Q-Gaussian distribution-Related distributions-Student's t-distribution While it can be justified by an interesting alternative form of entropy, statistically it is a scaled reparametrization of the Student's t-distribution introduced by W. Gosset in 1908 to describe small-sample statistics. In Gosset's original presen... | large_corpus_distillation |
"Building occupancy classifications-Other Considerations-In places where more than one occupancy may apply, the stricter code is usually enforced. An example of this is a restaurant with seating under 50 which is not addressed in the code as either mercantile or business (this is a technical issue, but could be viewed ... | large_corpus_distillation |
set is considered to be a single label. After transformation a single-label classifier H:X\u2192P(L) is trained where P(L) is the power set of all labels in L . The main drawback of this approach is that the number of label combinations grows exponentially with the number of labels. For example, a multi-label data s... | large_corpus_distillation |
"IEEE 802.2-Operational modes-IEEE 802.2 provides two connectionless and one connection-oriented operational modes: Type 1 is an unacknowledged connectionless mode for a datagram service. It allows for sending frames to a single destination (point-to-point or unicast transfer), to multiple destinations on the same netw... | large_corpus_distillation |
"Bijection, injection and surjection-Properties-For every function f, subset X of the domain and subset Y of the codomain, X \u2282 f\u22121(f(X)) and f(f\u22121(Y)) \u2282 Y. If f is injective, then X = f\u22121(f(X)), and if f is surjective, then f(f\u22121(Y)) = Y.\nFor every function h : X \u2192 Y, one can define ... | large_corpus_distillation |
"Morse code-Representation, timing, and speeds-Morse messages are generally transmitted by a hand-operated device such as a telegraph key, so there are variations introduced by the skill of the sender and receiver \u2014 more experienced operators can send and receive at faster speeds. In addition, individual operators... | large_corpus_distillation |
"Organizationally unique identifier-Individual Address Block-Example of EUI-48 created within an IAB: An EUI-48 identifier is formed by combining the 36-bit IEEE assigned IAB base value with a 12-bit extension identifier assigned by the organization \u2013 e.g., if the IEEE assigned IAB base-16 value is 0x0050C257A and... | large_corpus_distillation |
"Gauss\u2013Newton algorithm-Example-In this example, the Gauss\u2013Newton algorithm will be used to fit a model to some data by minimizing the sum of squares of errors between the data and model's predictions.\nIn a biology experiment studying the relation between substrate concentration [S] and reaction rate in an e... | large_corpus_distillation |
"National Information Assurance Partnership-Purpose-The long-term goal of NIAP is to help increase the level of trust consumers have in their information systems and networks through the use of cost-effective security testing, evaluation, and validation programs. In meeting this goal, NIAP seeks to: Promote the develop... | large_corpus_distillation |
"Retrieval Data Structure-Examples-A retrieval for x\u2208U can be expressed as the bitwise XOR of the rows Zi for all set bits i of h(x) . Furthermore, fast queries require sparse h(x) , thus the problems that need to be solved for this method are finding a suitable hash function and still being able to solve the... | large_corpus_distillation |
"Opportunistic encryption-Windows OS-Many systems also have problems when either side is behind a NAT. This problem is addressed by NAT traversal (NAT-T) and is accomplished by editing a registry item. Using the filtering options provided in MMC, it is possible to tailor the networking to require, request or permit tra... | large_corpus_distillation |
at x=x 0 does not guarantee a local extremum at x=x 0.\nThe same is true for a function of two or more variables. One way this can happen is at a saddle point. An example of a saddle\npoint appears in the following figure.\n14.7.4 https://math.libretexts.org/@go/page/2606" | large_corpus_distillation |
"Simultaneous eating algorithm-Description-For each item, the fraction of that item eaten by each agent is recorded. In the context of random assignments,these fractions are considered as probabilities. Based on these probabilities, a lottery is done. The type of lottery depends on the problem: If each agent is allowed... | large_corpus_distillation |
"Opportunistic mobile social network-Applications-Mobile data offloading An active area of research in the applications of opportunistic mobile social networks is the mobile data offloading. With large number of ever increasing smartphone users, most of the 3G networks are overloaded. Several research works are perform... | large_corpus_distillation |
"TFNP-Notable Subclasses-PPAD PPAD (standing for \"Polynomial time Parity Argument, Directed\") is a restriction of PPA to problems whose solutions are guaranteed by a directed version of the handshake lemma. It is often defined as the set of problems that are polynomial-time reducible to End-of-a-Line: Given circuits ... | large_corpus_distillation |
"Downside risk-Downside risk-Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference.Risk measures typically quantify the downside risk, whereas the standard deviation (an example ... | large_corpus_distillation |
"Security Account Manager-Cryptanalysis-In 2012, it was demonstrated that every possible 8-character NTLM password hash permutation can be cracked in under 6 hours." | large_corpus_distillation |
a time in the codomain. However, the same is not true of the coordinates in the domain. It is true that if f is differentiable at a , then each partial derivative \u2202f/\u2202xi exists at a . The converse does not hold: it can happen that all of the partial derivatives of f at a exist, but f is not differentia... | large_corpus_distillation |
of the pointer that found them, preventing that pointer from running off. (The latter is true independently of the test used, so it would be possible to use the inclusive test only when looking for the first inversion. However, using an inclusive test throughout also ensures that a division near the middle is found whe... | large_corpus_distillation |
"Variable-length code-Advantages-The advantage of a variable-length code is that unlikely source symbols can be assigned longer codewords and likely source symbols can be assigned shorter codewords, thus giving a low expected codeword length. For the above example, if the probabilities of (a, b, c, d) were (12,14,18,1... | large_corpus_distillation |
"Planar separator theorem-Planar separator theorem-In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split into smaller pieces by removing a small number of vertices. Specifically, the removal of O(n) vertices from an n-verte... | large_corpus_distillation |
that any removed node is removed exactly once and in a predictable order, so it can be backtracked appropriately. If the resulting matrix has no columns, then they have all been filled and the selected rows form the solution." | large_corpus_distillation |
"Minimum mean square error-Properties-The MMSE estimator is asymptotically unbiased and it converges in distribution to the normal distribution: MMSE \u2212x)\u2192dN(0,I\u22121(x)), where I(x) is the Fisher information of x . Thus, the MMSE estimator is asymptotically efficient.The orthogonality principle: When x i... | large_corpus_distillation |
"PRESENT-Cryptanalysis-A truncated differential attack on 26 out of 31 rounds of PRESENT was suggested in 2014.Several full-round attacks using biclique cryptanalysis have been introduced on PRESENT.By design all block ciphers with a block size of 64 bit can have problems with block collisions if they are used with lar... | large_corpus_distillation |
M. (1992). Multiplication of distributions and applications to partial differential equations. Longman. ISBN 978-0-582-08733-0. OCLC 682138968.\nMorimoto, M. (1993). An introduction to Sato's hyperfunctions. American Mathematical Society. ISBN 978-0-8218-8767-7.\nDemidov, A.S. (2001). Generalized Functions in Mathemati... | large_corpus_distillation |
0x9a,0x93,0x88,0x81,0xbe,0xb7,0xac,0xa5,0xd2,0xdb,0xc0,0xc9,0xf6,0xff,0xe4,0xed, 0x0a,0x03,0x18,0x11,0x2e,0x27,0x3c,0x35,0x42,0x4b,0x50,0x59,0x66,0x6f,0x74,0x7d, 0xa1,0xa8,0xb3,0xba,0x85,0x8c,0x97,0x9e,0xe9,0xe0,0xfb,0xf2,0xcd,0xc4,0xdf,0xd6, 0x31,0x38,0x23,0x2a,0x15,0x1c,0x07,0x0e,0x79,0x70,0x6b,0x62,0x5d,0x54,0x4f,0x... | large_corpus_distillation |
"Probabilistic classification-Probability calibration-Not all classification models are naturally probabilistic, and some that are, notably naive Bayes classifiers, decision trees and boosting methods, produce distorted class probability distributions. In the case of decision trees, where Pr(y|x) is the proportion of t... | large_corpus_distillation |
"Gateaux derivative-Higher derivatives-There is another candidate for the definition of the higher order derivative, the function that arises naturally in the calculus of variations as the second variation of F, at least in the special case where F is scalar-valued. However, this may fail to have any reasonable prope... | large_corpus_distillation |
"18.657: Mathematics of Machine Learning\nLecturer: Philippe Rigollet Lecture 20\nScribe: Vira Semenova Nov. 23, 2015\nIn this lecture, we talk about the adversarial bandits under limited feedback. Adver-\nsarial bandit is a setup in which the loss function l(a,z) : AxZ is determinitic. Lim-\nited feedback means that t... | large_corpus_distillation |
"Diagnosis code-Diagnosis code-In health care, diagnosis codes are used as a tool to group and identify diseases, disorders, symptoms, poisonings, adverse effects of drugs and chemicals, injuries and other reasons for patient encounters. Diagnostic coding is the translation of written descriptions of diseases, illnesse... | large_corpus_distillation |
, , are pairwise independent.\nA\u2229B C\n2. implies (is a subset of) and hence these events are dependent in the strongest possible sense.\nAnswer\nA\u2229B=A\u2229C=B\u2229C={(3,4)} 1\nNote that , and the probability of the common intersection is . On the other hand,\n36\nP(A)=P(B)=P(C)= 6 = 1\n.\n36 6\nn=2\nIn the ... | large_corpus_distillation |
"Quadratic residue-Distribution of quadratic residues-It is easy to prove that log \u2061q.\nIn fact, log 0.41 0.61.\nMontgomery and Vaughan improved this in 1977, showing that, if the generalized Riemann hypothesis is true then log log \u2061q).\nThis result cannot be substantially improved, for Schur had proved in 19... | large_corpus_distillation |
"Collective operation-Runtime Overview-The complexities stated in the table depend on the latency \u03b1 and the communication cost per word \u03b2 in addition to the number of processing units p and the input message size per node n . The # senders and # receivers columns represent the number of senders and receiv... | large_corpus_distillation |
"Lattice of subgroups-Example-The dihedral group Dih4 has ten subgroups, counting itself and the trivial subgroup. Five of the eight group elements generate subgroups of order two, and the other two non-identity elements both generate the same cyclic subgroup of order four. In addition, there are two subgroups of the f... | large_corpus_distillation |
"Conditional expectation-Examples-The unconditional expectation of A is E[A]=(0+1+0+1+0+1)/6=1/2 , but the expectation of A conditional on B = 1 (i.e., conditional on the die roll being 2, 3, or 5) is E[A\u2223B=1]=(1+0+0)/3=1/3 , and the expectation of A conditional on B = 0 (i.e., conditional on the die roll being ... | large_corpus_distillation |
a data communication, communications occur on one of each pair of wires to indicate the data's bits. In the general case, an m \u00d7 n encoding represent data as m words of base n." | large_corpus_distillation |
"Letter frequency-Relative frequencies of letters in the English language-An analysis of entries in the Concise Oxford dictionary, ignoring frequency of word use, gives an order of \"EARIOTNSLCUDPMHGBFYWKVXZJQ\".The letter-frequency table below is taken from Pavel Mi\u010dka's website, which cites Robert Lewand's Crypt... | large_corpus_distillation |
"Simjacker-Technical information-The attack works by exploiting a vulnerability in a UICC/SIM Card library called the S@T Browser. A specially formatted binary text message is sent to the victim handset, which contains a set of commands to be executed by the S@T Browser environment in the UICC. As the S@T Browser envir... | large_corpus_distillation |
"Phelix-Security-A second cryptanalytic paper on Phelix titled \"Differential Attacks against Phelix\" was published on 26 November 2006 by Hongjun Wu and Bart Preneel. The paper is based on the same attacks assumption as the Differential Attack against Helix. The paper shows that if the cipher is used incorrectly (non... | large_corpus_distillation |
Multimedia redirection for better audio and video performance. Mobile operating systems hosted in the cloud are not limited to Android. Other operating systems like Firefox OS and Ubuntu Mobile can also be used as VM instances depending on uses. Microservers based on existing mobile processors can also used to host Mob... | large_corpus_distillation |
"XML schema-XML schema-There are languages developed specifically to express XML schemas. The document type definition (DTD) language, which is native to the XML specification, is a schema language that is of relatively limited capability, but that also has other uses in XML aside from the expression of schemas. Two mo... | large_corpus_distillation |
"Cycle graph (algebra)-Cycle graph (algebra)-In group theory, a subfield of abstract algebra, a group cycle graph illustrates the various cycles of a group and is particularly useful in visualizing the structure of small finite groups. A cycle is the set of powers of a given group element a, where an, the n-th power o... | large_corpus_distillation |
"Names for sets of chemical elements-Names for sets of chemical elements-Lanthanoids and actinoids are sometimes referred to as lanthanides and actinides respectively.Many other names for sets of elements are in common use, and yet others have been used throughout history. These sets usually do not aim to cover the who... | large_corpus_distillation |
"Plain text-Usage-The purpose of using plain text today is primarily independence from programs that require their very own special encoding or formatting or file format. Plain text files can be opened, read, and edited with ubiquitous text editors and utilities.\nA command-line interface allows people to give commands... | large_corpus_distillation |
"MAJC-Design elements-In reality, scheduling instructions in this fashion turns out to be a very difficult problem. In real-world use, processors that attempt to do this scheduling at runtime encounter numerous events when the data needed is outside the cache, and there is no other instruction in the program that isn't... | large_corpus_distillation |
"Primitive root modulo n-Primitive root modulo n-Gauss defined primitive roots in Article 57 of the Disquisitiones Arithmeticae (1801), where he credited Euler with coining the term. In Article 56 he stated that Lambert and Euler knew of them, but he was the first to rigorously demonstrate that primitive roots exist fo... | large_corpus_distillation |
"Reproducing kernel Hilbert space-Reproducing kernel Hilbert space-In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional. Roughly speaking, this means that if two functions f and g in the ... | large_corpus_distillation |
Machine B 3% \u00d7 300 = 9, and Machine C 1% \u00d7 500 = 5, for a total of 24. Thus, the likelihood that a randomly selected defective item was produced by machine C is 5/24 (~20.83%)." | large_corpus_distillation |
"Primeval number-Base 12-In base 12, the primeval numbers are: (using inverted two and three for ten and eleven, respectively) 1, 2, 13, 15, 57, 115, 117, 125, 135, 157, 1017, 1057, 1157, 1257, 125\u0190, 157\u0190, 167\u0190, ...The number of primes that can be obtained from the primeval numbers is: (written in base 1... | large_corpus_distillation |
"Iterated local search-Perturbation Algorithm-Finding the perturbation algorithm for ILS is not an easy task. The main aim is not to get stuck at the same local minimum and in order to ensure this property, the undo operation is forbidden. Despite this, a good permutation has to consider a lot of values, since there ex... | large_corpus_distillation |
thus forming the set of input-output pairs as a special relation that is subset of A\u00d7F. For a relation to be a function, the special requirement is that each element of the domain of the function must be mapped to one and only one member of the codomain. Thus, the function f itself can be listed as: f = {((0, 0), ... | large_corpus_distillation |
"Timeline of binary prefixes-1970s-1976 DEC RK05/RK05J/RK05F disk drive maintenance manual\"Bit Capacities (unformatted)\" \"25 million\" | \"50 million\" (57,600 bits/ track * 406 | 812 tracks = 23,385,600 | 46,771,200 bits) The Memorex 1976 annual report has 10 instances of the use of megabyte to describe storage dev... | large_corpus_distillation |
remembering that f0(x)=1 . It can be verified that this is the maximal solution by checking that the variation around this solution is always negative." | large_corpus_distillation |
"NTRUEncrypt-Encryption-Alice, who wants to send a secret message to Bob, puts her message in the form of a polynomial m with coefficients in [\u2212p/2,p/2] . In modern applications of the encryption, the message polynomial can be translated in a binary or ternary representation.\nAfter creating the message polynomia... | large_corpus_distillation |
"JOSS-Language-Note that the for applies only to a single statement; if one wants to run multiple statements in a loop, they would be separated to another part and called using do: 1.3 Do part 5 for i=1(1)100.\n5.1 Type \"Hello, Wikipedia!\".\n5.2 Type \"This is JOSS.\".\nAs in BASIC, any of the inputs to the for loop ... | large_corpus_distillation |
from G to D if and only if there is not a homomorphism from P to G " | large_corpus_distillation |
"Computer-aided diagnosis-Applications-Support vector machine is by far the most frequently used classifier in vessel segmentation, up to 90% of cases. SVM is a supervised learning model that belongs to the broader category of pattern recognition technique. The algorithm works by creating a largest gap between distinct... | large_corpus_distillation |
"BTRON-Features-Confirmation that the real body is no longer referenced by deleting a link is done by the reference count method, as in the Unix file system, but since arbitrary structures are allowed, as is well known as a weakness of the reference-counting method, loops can cause the file system to occupy disk space ... | large_corpus_distillation |
written as a binary function, so to avoid the use of the join. In other words, f\u2264Wg if there are two computable maps \u03a6,\u03a8 such that the function p\u21a6\u03a8(p,q) is a realizer for f whenever q is a solution for g(\u03a6(p)) . The maps \u03a6,\u03a8 are often called forward and backward functional... | large_corpus_distillation |
"Rijndael S-box-Inverse S-box-The inverse S-box is simply the S-box run in reverse. For example, the inverse S-box of b816 is 9a16. It is calculated by first calculating the inverse affine transformation of the input value, followed by the multiplicative inverse. The inverse affine transformation is as follows: [b0b1b2... | large_corpus_distillation |
Entity Grouping\" WEBIST 2014 - Barcelona, Spain Proceedings - Proceedings of the 10th International Conference on Web Information Systems and Technologies. ISBN 978-989-758-023-9 Best Paper Award Nan Tian, Yue Xu, Yuefeng Li, Ahmad Abdel-Hafez and Audun Josang. \"Product Feature Taxonomy Learning based on User Reviews... | large_corpus_distillation |
"Nuclear magnetic resonance spectroscopy of proteins-Structure validation-It is important to remember that every experiment has associated errors. Random errors will affect the reproducibility and precision of the resulting structures. If the errors are systematic, the accuracy of the model will be affected. The precis... | large_corpus_distillation |
these fundamental components can combine in non-intuitive ways, such as explaining how there can be no correlation (zero covariance) between two variables despite the variables being connected by a direct non-zero causal effect.The statistical insignificance of an effect estimate indicates the estimate could rather eas... | large_corpus_distillation |
"Software transactional memory-Conceptual advantages and disadvantages-Locking can lead to priority inversion, a phenomenon where a high-priority thread is forced to wait for a low-priority thread holding exclusive access to a resource that it needs.In contrast, the concept of a memory transaction is much simpler, beca... | large_corpus_distillation |
"Pad\u00e9 approximant-Computation-For the [m/n] approximant, one thus carries out the extended euclidean algorithm for r0=xm+n+1,r1=Tm+n(x) and stops it at the last instant that vk has degree n or smaller.\nThen the polynomials P=rk,Q=vk give the [m/n] Pad\u00e9 approximant. If one were to compute all steps of the e... | large_corpus_distillation |
"Java code coverage tools-Java code coverage tools-Java code coverage tools are of two types: first, tools that add statements to the Java source code and require its recompilation. Second, tools that instrument the bytecode, either before or during execution. The goal is to find out which parts of the code are tested ... | large_corpus_distillation |
"Firebase Cloud Messaging-Key Concerns-Security Concerns FCM shortens the design and implementation process for mobile applications. Due to the available functionality of sending test messages through the Notifications Composer in the Firebase console, the testing process is also shortened. Cloud-based messaging soluti... | large_corpus_distillation |
"Infobox-Wikipedia-Machine learning About 44.2% of Wikipedia articles contained an infobox in 2008, and about 33% in 2010. Automated semantic knowledge extraction using machine learning algorithms is used to \"extract machine-processable information at a relatively low complexity cost\". However, the low coverage makes... | large_corpus_distillation |
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