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"Multiple kernel learning-Algorithms-These methods have been used successfully in applications such as protein fold recognition and protein homology problems Boosting approaches Boosting approaches add new kernels iteratively until some stopping criteria that is a function of performance is reached. An example of this ...
large_corpus_distillation
"BackupAssist-Reception-4.5/5 Stars Download.com 10 / 10 toptenreviews.com "
large_corpus_distillation
"Synchronous dynamic random-access memory-Command interactions-When a bank is open, there are four commands permitted: read, write, burst terminate, and precharge. Read and write commands begin bursts, which can be interrupted by following commands."
large_corpus_distillation
"Algebraic independence-Algebraic matroids-Given a field extension L/K which is not algebraic, Zorn's lemma can be used to show that there always exists a maximal algebraically independent subset of L over K . Further, all the maximal algebraically independent subsets have the same cardinality, known as the transcen...
large_corpus_distillation
"Inflation hedge-Inflation hedge-An inflation hedge is an investment intended to protect the investor against\u2014hedge\u2014a decrease in the purchasing power of money\u2014inflation. There is no investment known to be a successful hedge in all inflationary environments, just as there is no asset class guaranteed to ...
large_corpus_distillation
"Labyrinth 2-Reception-Labyrinth 2 received positive reviews. TouchArcade rated the game 4.5 out of 5 stars, praising the game's level editor. Metacritic gave the game a score of 89 out of 100 based on reviews from 8 critics, indicating \"generally favorable reviews\"."
large_corpus_distillation
"Interrupt flag-Privilege level-In systems that support privileged mode, only privileged applications (usually the OS kernel) may modify the Interrupt flag. In an x86 system this only applies to protected mode code (Real mode code may always modify the Interrupt flag). CLI and STI are privileged instructions, which cau...
large_corpus_distillation
descriptors, file seeking, physical reading, and physical writing.\nProgrammers create processes through a relatively simple interface that in turn executes a relatively complicated low-level interface.\nProgrammers perform date/time arithmetic through a relatively simple interface that in turn executes a relatively co...
large_corpus_distillation
expectation is only 10 such values, is unlikely with a fair die."
large_corpus_distillation
"Exact division-Existence-Consider now the case k=2 and arbitrary weights. Stromquist and Woodall proved that there exists an exact division of a pie (a circular cake) in which each piece contains at most n-1 intervals; hence, at most 2n-2 cuts are needed. See Stromquist\u2013Woodall theorem. The number of cuts is esse...
large_corpus_distillation
"Ku\u1e6d\u1e6daka-Aryabha\u1e6da's formulation of the problem-The problem that can supposedly be solved by the Ku\u1e6d\u1e6daka method was not formulated by Aryabha\u1e6da as a problem of solving the linear Diophantine equation. Aryabha\u1e6da considered the following problems all of which are equivalent to the probl...
large_corpus_distillation
to encode X . In other words, two isolated sources can compress data as efficiently as if they were communicating with each other. The whole system is operating in an asymmetric way (compression rate for the two sources are asymmetric).This bound has been extended to the case of more than two correlated sources by Tho...
large_corpus_distillation
"Supersingular elliptic curve-Classification-Birch & Kuyk (1975) give a table of all j-invariants of supersingular curves for primes up to 307. For the first few primes the supersingular elliptic curves are given as follows. The number of supersingular values of j other than 0 or 1728 is the integer part of (p\u22121)/...
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"Dynamic defence-Dynamic or randomized defence-In order to out-compete the erratic moving attacker the defender has two options: Adopt a denial strategy (akin to concept of sea denial): The defender creates areas under surveillance or fire that become no-go-zones for a would-be attacker."
large_corpus_distillation
"Academic grading in the Netherlands-Overview-The grading scale with labels: 10 (Outstanding) 9 (Very good) 8 (Good) 7 (More than satisfactory) 6 (Satisfactory) 5 (Almost satisfactory) 4 (Unsatisfactory) 3 (Very unsatisfactory) 2 (Poor) 1 (Very poor)The lowest pass mark is decided upon by the educational institute. It ...
large_corpus_distillation
"Cryptanalysis of the Enigma-World War II-Alan Turing decided to take responsibility for German naval Enigma because \"no one else was doing anything about it and I could have it to myself\". He established Hut 8 with Peter Twinn and two \"girls\". Turing used the indicators and message settings for traffic from 1\u201...
large_corpus_distillation
GEDCOM uses the same alphabet as crypt, which is \"./0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz\".\nbcrypt hashes are designed to be used in the same way as traditional crypt(3) hashes, but bcrypt's alphabet is in a different order than crypt's. bcrypt uses the alphabet \"./ABCDEFGHIJKLMNOPQRSTUVWXY...
large_corpus_distillation
"Candlepin bowling-Game play-In the tenth box, play is similar, except that a player scoring a strike is granted two additional balls, scoring a spare earns one additional ball. Three balls are rolled in the tenth box regardless.In league play, a bowler may roll two or five boxes at a time, depending on the rules of th...
large_corpus_distillation
"Convolutional neural network-Distinguishing features-Also, such network architecture does not take into account the spatial structure of data, treating input pixels which are far apart in the same way as pixels that are close together. This ignores locality of reference in data with a grid-topology (such as images), b...
large_corpus_distillation
"LOKI97-LOKI97-It was the first published candidate in the Advanced Encryption Standard competition, and was quickly analysed and attacked. An analysis of some problems with the LOKI97 design, which led to its rejection when shortlisting candidates, is given in a paper (Rijmen & Knudsen 1999). It was found to be suscep...
large_corpus_distillation
or actors in the network all of whom share one of several different kinds of connectivity relation. Many of these generalized notions of cliques can also be found by constructing an undirected graph whose edges represent related pairs of actors from the social network, and then applying an algorithm for the clique prob...
large_corpus_distillation
"Edge cycle cover-Properties and applications-Minimum-Weight Cycle Cover For a weighted graph, the Minimum-Weight Cycle Cover Problem (MWCCP) is the problem to find a cycle cover with minimal sum of weights of edges in all cycles of the cover.\nFor bridgeless planar graphs the MWCCP can be solved in polynomial time."
large_corpus_distillation
"Cryptography standards-U.S. Government Federal Information Processing Standards (FIPS)-FIPS PUB 186-2 Digital Signature Standard (DSS) 2000 FIPS PUB 190 Guideline for the Use of Advanced Authentication Technology Alternatives 1994 FIPS PUB 191 Guideline for the Analysis of local area network Security 1994 FIPS PUB 19...
large_corpus_distillation
"Test stub-Example-Several testing frameworks are available, as is software that generates test stubs based on existing source code and testing requirements. Stubs and Drivers are two types of test harness. Test harnesses are the collection of software and test data which is configured so that one can test a program un...
large_corpus_distillation
"Trading room-Software equipment-A typical usage of program trading is to generate buy or sell orders on a given stock as soon as its price reaches a given threshold, upwards or downwards. A wave of stop sell orders has been largely incriminated, during the 1987 financial crises, as the main cause of acceleration of th...
large_corpus_distillation
"Python syntax and semantics-Exceptions-Python supports (and extensively uses) exception handling as a means of testing for error conditions and other \"exceptional\" events in a program.\nPython style calls for the use of exceptions whenever an error condition might arise. Rather than testing for access to a file or r...
large_corpus_distillation
Update that are considered optional are no longer automatically downloaded and installed in their devices. Users can access them on Settings > Update & Security > Windows Update > View optional update.Updates can cause compatibility or other problems; a Microsoft troubleshooter program allows bad updates to be uninstal...
large_corpus_distillation
"Social media reach-Social media reach-Social media reach is a media analytics metric that refers to the number of users who have come across a particular content on a social platform such as Facebook, Instagram or Twitter. Social media platforms including Facebook, Twitter, YouTube, Instagram, Spotify and many more ha...
large_corpus_distillation
"Visual networking-Other applications-Mobile video Proliferation of multi-function mobile devices, particularly those with built-in digital cameras and/or video cameras is making it easier for individuals to share first person photos and videos in real-time with their friends Interactive TV Interactive television repre...
large_corpus_distillation
"Microsoft-specific exception handling mechanisms-Structured Exception Handling-Implementation IA-32 Each thread of execution in Windows IA-32 edition or the WoW64 emulation layer for the x86-64 version has a link to an undocumented _EXCEPTION_REGISTRATION_RECORD list at the start of its Thread Information Block. The _...
large_corpus_distillation
results in the following lemma.\nLemma 6.2.3 Consider an irreducible Markov process with a recurrent embedded Markov chain starting in X 0 =i. Then with\n1\nprobability 1, the limiting time average in state j is given by p j ???= . This is also the limit, as t\u2192\u221e, of\n\u03bd W\u00af\u00af\u00af\u00af\u00af(j)\...
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"Client to Authenticator Protocol-Standard-The protocol uses the CBOR binary data serialization format.\nThe standard was adopted as ITU-T Recommendation X.1278."
large_corpus_distillation
"Universal Coded Character Set-Universal Coded Character Set-The original edition of the UCS defined UTF-16, an extension of UCS-2, to represent code points outside the BMP. A range of code points in the S (Special) Zone of the BMP remains unassigned to characters. UCS-2 disallows use of code values for these code poin...
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"Vincent's theorem-Bisection methods-In line 1 Budan's \"0_1 roots test\" is applied.\nExample of VCA(p, (a,b)) Given the polynomial porig(x) = x3 \u2212 7x + 7 and considering as an upper bound on the values of the positive roots ub = 4 the arguments of the VCA method are: p(x) = 64x3 \u2212 28x + 7 and (a, b) = (0, 4...
large_corpus_distillation
"Faculty Scholarly Productivity Index-Faculty Scholarly Productivity Index-The index is based on a set of statistical algorithms developed by Lawrence B. Martin and Anthony Olejniczak. It measures the annual amount and impact of faculty scholarly work in several areas, including: Publications (how many books and peer-r...
large_corpus_distillation
"Protected mode-Operating systems-Windows 3.0 was able to run real mode programs in 16-bit protected mode; when switching to protected mode, it decided to preserve the single privilege level model that was used in real mode, which is why Windows applications and DLLs can hook interrupts and do direct hardware access. T...
large_corpus_distillation
"Blumberg theorem-Blumberg spaces-More generally, a Blumberg space is a topological space X for which any function f:X\u2192R admits a continuous restriction on a dense subset of X.\nThe Blumberg theorem therefore asserts that R (equipped with its usual topology) is a Blumberg space.\nIf X is a metric space then ...
large_corpus_distillation
"Bound variable pronoun-Semantics: quantifier interpretation-Semantics is the branch of linguistics that examines the meaning of natural language, the notion of reference and denotation, and the concept of possible worlds. One concept used in the study of semantics is predicate logic, which is a system that uses symbol...
large_corpus_distillation
"OFFSystem-Anonymity-OFFS derives its anonymity from the following: No source file content is stored in the block cache, only blocks that consist of probably random data.\nNo source file content is searched for on the network.\nNo source file content is transmitted over the network.\n(No block in the cache is copyright...
large_corpus_distillation
only arises for components that have no further sub-structure that XML needs to be aware of (attributes do support multiple tokens, such as multiple IDREF values, which can be considered a slight exception). Attributes typically represent information associated with the entirety of the element on which they occur, whil...
large_corpus_distillation
which divide the order of the friendly giant, the largest sporadic group: five first generation Mathieu groups, seven second generation subquotients of the Leech lattice, and eight third generation subgroups of the friendly giant. The remaining six sporadic groups do not divide the order of the friendly giant, which ar...
large_corpus_distillation
"Automated essay scoring-Criteria for success-Percent agreement is a simple statistic applicable to grading scales with scores from 1 to n, where usually 4 \u2264 n \u2264 6. It is reported as three figures, each a percent of the total number of essays scored: exact agreement (the two raters gave the essay the same sco...
large_corpus_distillation
"Latent Dirichlet allocation-Overview-Computing probabilities allows a \"generative\" process by which a collection of new \u201csynthetic documents\u201d can be generated that would closely reflect the statistical characteristics of the original collection.\nUnlike LDA, pLSA is vulnerable to overfitting especially whe...
large_corpus_distillation
"Tree (descriptive set theory)-Definitions-Terminal nodes A finite sequence that belongs to a tree T is called a terminal node if it is not a prefix of a longer sequence in T . Equivalently, \u27e8x0,x1,\u2026,xn\u22121\u27e9\u2208T is terminal if there is no element x of X such that that \u27e8x0,x1,\u2026,xn\u2...
large_corpus_distillation
"One-time pad-Perfect secrecy-Mathematically, this is expressed as {\\textstyle \\mathrm {H} (M)=\\mathrm {H} (M|C)} , where {\\textstyle \\mathrm {H} (M)} is the information entropy of the plaintext and {\\textstyle \\mathrm {H} (M|C)} is the conditional entropy of the plaintext given the ciphertext C. (Here, \u039...
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than light, in accordance to the no communication theorem."
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"Algebraic structure-Introduction-Addition and multiplication are prototypical examples of operations that combine two elements of a set to produce a third element of the same set. These operations obey several algebraic laws. For example, a + (b + c) = (a + b) + c and a(bc) = (ab)c are associative laws, and a + b = b ...
large_corpus_distillation
"Socialist millionaire problem-Motivation-A passive attacker simply spying on the messages Alice and Bob exchange learns nothing about x and y , not even whether x=y Even if one of the parties is dishonest and deviates from the protocol, that person cannot learn anything more than if x=y An active attacker capable ...
large_corpus_distillation
"Online machine learning-Statistical view of online learning-The complexity for n steps of this algorithm is O(nd2) , which is an order of magnitude faster than the corresponding batch learning complexity. The storage requirements at every step i here are to store the matrix \u0393i , which is constant at O(d2) . ...
large_corpus_distillation
"Linear combination-Operad theory-From this point of view, we can think of linear combinations as the most general sort of operation on a vector space \u2013 saying that a vector space is an algebra over the operad of linear combinations is precisely the statement that all possible algebraic operations in a vector spac...
large_corpus_distillation
a true negative result because the negative sample gets correctly identified by the classifier."
large_corpus_distillation
"Leapfrog filter-Synthesis-Manipulate the signal-flow graph so that the gains feeding each summing node have the same signs. This is done as an implementation convenience. At the completion of this step, typically, all the feedback gains in the signal-flow graph will be +1 and the signs of the gain blocks in the forwar...
large_corpus_distillation
"Six-bit character code-Types of six-bit codes-DEC SIXBIT code A popular six-bit code was DEC SIXBIT. This is simply the ASCII character codes from 32 to 95 coded as 0 to 63 by subtracting 32 (i.e., columns 2, 3, 4, and 5 of the ASCII table (16 characters to a column), shifted to columns 0 through 3, by subtracting 2 f...
large_corpus_distillation
"Exponentiation-History of the notation-Etymology The term power (Latin: potentia, potestas, dignitas) is a mistranslation of the ancient Greek \u03b4\u03cd\u03bd\u03b1\u03bc\u03b9\u03c2 (d\u00fanamis, here: \"amplification\") used by the Greek mathematician Euclid for the square of a line, following Hippocrates of Chi...
large_corpus_distillation
full processor slice. This allows an IO bound task to get processor time ahead of a processor bound task on the same declared priority."
large_corpus_distillation
the two rows are separated by the addition of a complete 5g18 subshell, they could be considered analogues of each other as well.As an example from the late superactinides, element 156 is expected to exhibit mainly the +2 oxidation state, on account of its electron configuration with easily removed 7d2 electrons over a...
large_corpus_distillation
"Connected relation-Properties-The edge relation E of a tournament graph G is always a connected relation on the set of G 's vertices.\nIf a strongly connected relation is symmetric, it is the universal relation.\nA relation is strongly connected if, and only if, it is connected and reflexive.\nA connected relation ...
large_corpus_distillation
"Encryption-Encryption-In cryptography, encryption is the process of encoding information. This process converts the original representation of the information, known as plaintext, into an alternative form known as ciphertext. Ideally, only authorized parties can decipher a ciphertext back to plaintext and access the o...
large_corpus_distillation
"World War II cryptography-United States-Magic (cryptography) Signals Intelligence Service US Army, see also Arlington Hall OP-20-G US Navy Signals Intelligence group Elizebeth Smith Friedman William Friedman Frank Rowlett Abraham Sinkov Genevieve Grotjan Feinstein Leo Rosen Joseph Rochefort, leader of the effort to cr...
large_corpus_distillation
"Linguistic performance-Utterance planning hypothesis-Vp (prepositional verbs): can take an NP object or an immediately following PP with no NP object 5a. Pat VP[wrote NP[something about Chris] PP[ [on the blackboard]]."
large_corpus_distillation
"Monte Carlo tree search-History-Such methods were then explored and successfully applied to heuristic search in the field of automated theorem proving by W. Ertel, J. Schumann and C. Suttner in 1989, thus improving the exponential search times of uninformed search algorithms such as e.g. breadth-first search, depth-fi...
large_corpus_distillation
"Arithmetic mean-Definition-The arithmetic mean can be similarly defined for vectors in multiple dimensions, not only scalar values; this is often referred to as a centroid. More generally, because the arithmetic mean is a convex combination (meaning its coefficients sum to 1 ), it can be defined on a convex space, no...
large_corpus_distillation
"Stochastic multicriteria acceptability analysis-Description-This means that criteria and preference information can be uncertain, inaccurate or partially missing. Incomplete information is represented in SMAA using suitable probability distributions. The method is based on stochastic simulation by drawing random value...
large_corpus_distillation
"Pathfinder network-Overview-Network pruning aims to highlight the more important links between elements represented in a network. It helps to simplify the collection of connections involved which is valuable in data visualization and in comprehending essential relations among the elements represented in the network."
large_corpus_distillation
"Switch statement-Alternative uses-Ruby In Ruby, due to its handling of === equality, the statement can be used to test for variable\u2019s class: Ruby also returns a value that can be assigned to a variable, and doesn\u2019t actually require the case to have any parameters (acting a bit like an else if statement): Ass...
large_corpus_distillation
"SAS language-SAS language-The SAS language is a computer programming language used for statistical analysis, created by Anthony James Barr at North Carolina State University. It can read in data from common spreadsheets and databases and output the results of statistical analyses in tables, graphs, and as RTF, HTML an...
large_corpus_distillation
"Routing loop-Routing loop-Thus, whenever traffic for C arrives at either A or B, it will loop endlessly between A and B, unless some mechanism exists to prevent that behaviour."
large_corpus_distillation
"Nested radical-Two nested square roots-Thus for some rational number \u03b2.\nThe uniqueness of the decomposition over 1 and c implies thus that the considered equation is equivalent with It follows by Vieta's formulas that x and y must be roots of the quadratic equation its \u0394=a2\u2212c=d2>0 (\u2260 0, otherwi...
large_corpus_distillation
"Modality (linguistics)-Formal semantics-Recent work has departed from this picture in a variety of ways. In dynamic semantics, modals are analyzed as tests which check whether their prejacent is compatible with (or follows from) the information in the conversational common ground. Probabilistic approaches motivated by...
large_corpus_distillation
"Cryptography-History-Language letter frequencies may offer little help for some extended historical encryption techniques such as homophonic cipher that tend to flatten the frequency distribution. For those ciphers, language letter group (or n-gram) frequencies may provide an attack."
large_corpus_distillation
"Social network analysis-Practical applications-Social network analysis is used extensively in a wide range of applications and disciplines. Some common network analysis applications include data aggregation and mining, network propagation modeling, network modeling and sampling, user attribute and behavior analysis, c...
large_corpus_distillation
surface, R(t) , over the vector space of the stress variables.If failure barrier crossings are assumed to comply with the Poisson counting process an expression for maximum probable failure can be developed for each stress variable. The overall probability of failure is obtained by averaging (that is, integrating) ove...
large_corpus_distillation
"Heap (mathematics)-Examples-Two element heap Turn H={a,b} into the cyclic group C2 , by defining a the identity element, and bb=a . Then it produces the following heap: [a,a,a]=a,[a,a,b]=b,[b,a,a]=b,[b,a,b]=a, [a,b,a]=b,[a,b,b]=a,[b,b,a]=a,[b,b,b]=b.\nDefining b as the identity element and aa=b would have given ...
large_corpus_distillation
"Program slicing-Dynamic slicing-Dynamic slicing makes use of information about a particular execution of a program. A dynamic slice contains all statements that actually affect the value of a variable at a program point for a particular execution of the program rather than all statements that may have affected the val...
large_corpus_distillation
"Condorcet method-Circular ambiguities-As noted above, sometimes an election has no Condorcet winner because there is no candidate who is preferred by voters to all other candidates. When this occurs the situation is known as a 'Condorcet cycle', 'majority rule cycle', 'circular ambiguity', 'circular tie', 'Condorcet p...
large_corpus_distillation
"Division (mathematics)-Division in different contexts-\"Division\" in the sense of \"cancellation\" can be done in any magma by an element with the cancellation property. Examples include matrix algebras and quaternion algebras. A quasigroup is a structure in which division is always possible, even without an identity...
large_corpus_distillation
"Breadth-first search-Analysis-Note that O(|E|) may vary between O(1) and O(|V|2) , depending on how sparse the input graph is.When the number of vertices in the graph is known ahead of time, and additional data structures are used to determine which vertices have already been added to the queue, the space complexit...
large_corpus_distillation
"Great conjunction-Great conjunction-The spacing between the planets varies from conjunction to conjunction with most events being 0.5 to 1.3 degrees (30 to 78 arcminutes, or 1 to 2.5 times the width of a full moon). Very close conjunctions happen much less frequently (though the maximum of 1.3\u00b0 is still close by ...
large_corpus_distillation
"Minimalist program-Criticisms-Prakash Mondal has published a book-length critique of the Minimalist model of grammar, arguing that there are a number of contradictions, inconsistencies and paradoxes within the formal structure of the system. In particular, his critique examines the consequences of adopting some rather...
large_corpus_distillation
"Orders of magnitude (bit rate)-Orders of magnitude (bit rate)-The decimal SI prefixes kilo, mega etc., are powers of 10. The power of two equivalents are the binary prefixes kibi, mebi, etc.Accordingly: 1 kB (kilobyte) = 1000 bytes = 8000 bits 1 KiB (kibibyte) = 210 bytes = 1024 bytes = 8192 bits 1 kbit (kilobit) = 12...
large_corpus_distillation
the second (in-order), or after the second child node is finished (post-order) -- assuming the tree is binary, for simplicity of exposition. The call stack (of the recursive traversal function invocations) corresponds to the stack that would be iterated over with the explicit LIFO structure manipulation mentioned above...
large_corpus_distillation
"Input/Output Supervisor-Program sections-The secondary program sections (also CSECTs), termed Error Recovery Procedures (ERPs), are, with but one exception, located on external storage, and are brought into main storage for recovery from the abnormal execution of channel programs. In the early instances of the OS, the...
large_corpus_distillation
"Free independence-Sources-James A. Mingo, Roland Speicher: Free Probability and Random Matrices. Fields Institute Monographs, Vol. 35, Springer, New York, 2017."
large_corpus_distillation
"Resource Description Framework-Overview-The RDF data model is similar to classical conceptual modeling approaches (such as entity\u2013relationship or class diagrams). It is based on the idea of making statements about resources (in particular web resources) in expressions of the form subject\u2013predicate\u2013objec...
large_corpus_distillation
"Nonnegative matrix-Nonnegative matrix-In mathematics, a nonnegative matrix, written X\u22650, is a matrix in which all the elements are equal to or greater than zero, that is, xij\u22650\u2200i,j."
large_corpus_distillation
"X Macro-Implementation-Expansion(s) of the list to generate fragments of declarations or statements.The list is defined by a macro or header file (named, LIST) which generates no code by itself, but merely consists of a sequence of invocations of a macro (classically named \"X\") with the elements' data. Each expansio...
large_corpus_distillation
"Moore\u2013Penrose inverse-Construction-The Cholesky decomposition may be computed without forming A\u2217A explicitly, by alternatively using the QR decomposition of A=QR , where Q has orthonormal columns, Q\u2217Q=I , and R is upper triangular. Then so R is the Cholesky factor of A\u2217A The case of full row...
large_corpus_distillation
"Periodic table-Future extension beyond the seventh period-The most recently named elements \u2013 nihonium (113), moscovium (115), tennessine (117), and oganesson (118) \u2013 completed the seventh row of the periodic table. Future elements would have to begin an eighth row. These elements may be referred to either by...
large_corpus_distillation
"Canonical S-expressions-Comparisons to other encodings-csexp vs. XML csexp and XML differ in that csexp is a data-representation format, while XML includes a data-representation format and also a schema mechanism. Thus, XML can be \"configured\" for particular kinds of data, which conform to some grammar (say, HTML, A...
large_corpus_distillation
"Capelli's identity-Generalizations-The Caracciolo\u2013Sportiello\u2013Sokal identity for Manin matrices Consider two matrices M and Y over some associative ring which satisfy the following condition [Mij,Ykl]=\u2212\u03b4jkQil for some elements Qil. Or \u201din words\u201d: elements in j-th column of M commute with e...
large_corpus_distillation
"Probabilistic context-free grammar-Weighted context-free grammar-A weighted context-free grammar (WCFG) is a more general category of context-free grammar, where each production has a numeric weight associated with it. The weight of a specific parse tree in a WCFG is the product (or sum ) of all rule weights in the tr...
large_corpus_distillation
forms to a cashier and been given a duplicate of their marked form, and paid their wager) 20 balls are drawn. Some of the balls drawn may match some or all of the balls selected by the player. Generally speaking, the more hits (balls drawn that match player numbers selected) the greater the payoff."
large_corpus_distillation
"Cocountability-Cocountability-In mathematics, a cocountable subset of a set X is a subset Y whose complement in X is a countable set. In other words, Y contains all but countably many elements of X. Since the rational numbers are a countable subset of the reals, for example, the irrational numbers are a cocountable su...
large_corpus_distillation
"Spectre (security vulnerability)-History-According to Amazon Germany, Cyberus Technology, SYSGO, and Colin Percival (FreeBSD), Intel revealed details on the third Spectre-NG variant CVE-2018-3665 (Lazy FP State Restore, Intel SA-00145) on 13 June 2018. It is also known as Lazy FPU state leak (abbreviated \"LazyFP\") a...
large_corpus_distillation
"Gadget (computer science)-Restricted reductions-Agrawal et al. (1997) considered what they called \"a radically simple form of gadget reduction\", in which each bit describing part of a gadget may depend only on a bounded number of bits of the input, and used these reductions to prove an analogue of the Berman\u2013Ha...
large_corpus_distillation
"3.3: The Matrix Representation\nThe matrix [P] of transition probabilities of a Markov chain is called a stochastic matrix; that is, a stochastic matrix is a square\nmatrix of nonnegative terms in which the elements in each row sum to 1. We first consider the n step transition probabilities\nPn\nin\nij\nterms of [P] ....
large_corpus_distillation
"Claw-free graph-Matchings-Faudree, Flandrin & Ryj\u00e1\u010dek (1997) list several related results, including the following: (r \u2212 1)-connected K1,r-free graphs of even order have perfect matchings for any r \u2265 2; claw-free graphs of odd order with at most one degree-one vertex may be partitioned into an odd ...
large_corpus_distillation
"Pearls in Graph Theory-Topics-The \"pearls\" of the title include theorems, proofs, problems, and examples in graph theory. The book has ten chapters; after an introductory chapter on basic definitions, the remaining chapters material on graph coloring; Hamiltonian cycles and Euler tours; extremal graph theory; subgra...
large_corpus_distillation
"HLA-A31-HLA-A31-A31 is a split antigen of the broad antigen serotype A19. A31 is a sister serotype of A29, A30, A32, A33, and A74.\nA31 is more common in South and Central America."
large_corpus_distillation
"Lexicon-Lexicon-A lexicon (plural: lexicons, rarely lexica) is the vocabulary of a language or branch of knowledge (such as nautical or medical). In linguistics, a lexicon is a language's inventory of lexemes. The word lexicon derives from Greek word \u03bb\u03b5\u03be\u03b9\u03ba\u03cc\u03bd (lexikon), neuter of \u03...
large_corpus_distillation