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"Nyquist\u2013Shannon sampling theorem-Introduction-The threshold fs/2 is called the Nyquist frequency and is an attribute of the sampling equipment. All meaningful frequency components of the properly sampled x(t) exist below the Nyquist frequency. The condition described by these inequalities is called the Nyquist ...
large_corpus_distillation
"Programming language specification-Semantics-Formal semantics Formal semantics are grounded in mathematics. As a result, they can be more precise and less ambiguous than semantics given in natural language. However, supplemental natural language descriptions of the semantics are often included to aid understanding of ...
large_corpus_distillation
"Uniform convergence in probability-Sauer\u2013Shelah lemma-The Sauer\u2013Shelah lemma relates the shattering number \u03a0h(m) to the VC Dimension.\nLemma: \u03a0H(m)\u2264(emd)d , where d is the VC Dimension of the concept class H Corollary: \u03a0H(m)\u2264md "
large_corpus_distillation
"S/MIME-Obstacles to deploying S/MIME in practice-Solutions which store private keys on malware scanners so that it can inspect messages content, the encrypted message is then relayed to its destination."
large_corpus_distillation
"Contingency table-Measures of association-C suffers from the disadvantage that it does not reach a maximum of 1.0, notably the highest it can reach in a 2 \u00d7 2 table is 0.707 . It can reach values closer to 1.0 in contingency tables with more categories; for example, it can reach a maximum of 0.870 in a 4 \u00d7 4...
large_corpus_distillation
"Set-theoretic topology-Objects studied in set-theoretic topology-Normal Moore spaces A famous problem is the normal Moore space question, a question in general topology that was the subject of intense research. The answer to the normal Moore space question was eventually proved to be independent of ZFC."
large_corpus_distillation
"Graph realization problem-Graph realization problem-The graph realization problem is a decision problem in graph theory. Given a finite sequence (d1,\u2026,dn) of natural numbers, the problem asks whether there is a labeled simple graph such that (d1,\u2026,dn) is the degree sequence of this graph."
large_corpus_distillation
"Memory-bound function-Using memory-bound functions to prevent spam-Memory-bound functions might be useful in a proof-of-work system that could deter spam, which has become a problem of epidemic proportions on the Internet."
large_corpus_distillation
"Large-file support-Details-In 1996, multiple vendors responded by forming an industry initiative known as the Large File Summit to support large files on POSIX (at the time Windows NT already supported large files on NTFS), an obvious backronym of \"LFS\". The summit was tasked to define a standardized way to switch t...
large_corpus_distillation
"GNU Compiler Collection-Design-Some of these optimizations performed at this level include dead-code elimination, partial-redundancy elimination, global value numbering, sparse conditional constant propagation, and scalar replacement of aggregates. Array dependence based optimizations such as automatic vectorization a...
large_corpus_distillation
"Suzuki HEARTECT platform-Suzuki HEARTECT platform-The HEARTECT platform is an automobile platform that underpins various Suzuki models since 2014."
large_corpus_distillation
"Recursion (computer science)-Time-efficiency of recursive algorithms-The time efficiency of recursive algorithms can be expressed in a recurrence relation of Big O notation. They can (usually) then be simplified into a single Big-O term."
large_corpus_distillation
"Forward anonymity-History-Originally introduced by Whitfield Diffie, Paul van Oorschot, and Michael James Wiener to describe a property of STS (station-to-station protocol) involving a long term secret, either a private key or a shared password."
large_corpus_distillation
"Computational complexity theory-Complexity classes-If a problem X is in C and hard for C, then X is said to be complete for C. This means that X is the hardest problem in C. (Since many problems could be equally hard, one might say that X is one of the hardest problems in C.) Thus the class of NP-complete problems con...
large_corpus_distillation
"Subset sum problem-Subset sum problem-The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S of integers and a target-sum T , and the question is to decide whether any subset of the integers sum to precisely T . The problem is known to be NP-ha...
large_corpus_distillation
"Frequent subtree mining-Challenges-Checking whether a pattern (or a transaction) supports a given subgraph is an NP-complete problem, since it is an NP-complete instance of the subgraph isomorphism problem. Furthermore, due to combinatorial explosion, according to Lei et al., \"mining all frequent subtree patterns bec...
large_corpus_distillation
"Hopfield network-Human memory-Rizzuto and Kahana (2001) were able to show that the neural network model can account for repetition on recall accuracy by incorporating a probabilistic-learning algorithm. During the retrieval process, no learning occurs. As a result, the weights of the network remain fixed, showing that...
large_corpus_distillation
"Chain of events (accident analysis)-Chain of events (accident analysis)-In accident analysis, a chain of events (or error chain) consists of the contributing factors leading to an undesired outcome."
large_corpus_distillation
"Property testing-Definition and variants-A property testing algorithm is said be non-adaptive if it performs all its queries before it \"observes\" any answers to previous queries. Such an algorithm can be viewed as operating in the following manner. First the algorithm receives its input. Before looking at the input,...
large_corpus_distillation
"Proebsting's paradox-Statement of the paradox-The paradox is that the total bet, 0.25 + 0.225 = 0.475, is larger than the 0.4 Kelly bet if the 5 to 1 odds are offered from the beginning. It is counterintuitive that you bet more when some of the bet is at unfavorable odds. Todd Proebsting emailed Ed Thorp asking about ...
large_corpus_distillation
"Fuzzy extractor-Improving error tolerance via relaxed notions of correctness-Computationally bounded errors This model differs from the input-dependent model by having errors that depend on both the input w and the secure sketch, and an adversary is limited to polynomial-time algorithms for introducing errors. Since ...
large_corpus_distillation
"Drift (data science)-Data configuration decay-Another important area is software engineering, where three types of data drift affecting data fidelity may be recognized. Changes in the software environment (\"infrastructure drift\") may invalidate software infrastructure configuration. \"Structural drift\" happens when...
large_corpus_distillation
"IEEE 754-2008 revision-Summary of the revisions-Extended and extendable formats allow for arithmetic at other precisions and ranges.\nClause 4: Attributes and rounding This clause has been changed to encourage the use of static attributes for controlling floating-point operations, and (in addition to required rounding...
large_corpus_distillation
"Binary relation-Particular relations-An algebraic statement required for a Ferrers type relation R is If any one of the relations R,R\u00af,RT is of Ferrers type, then all of them are.\nContact Suppose B is the power set of A, the set of all subsets of A. Then a relation g is a contact relation if it satisfies three ...
large_corpus_distillation
steps to counter misleading campaigns ahead of the 2020 US Election. Twitter's new temporary update encouraged users to \"add their own commentary\" before retweeting a tweet, by making 'quoting tweet' a mandatory feature instead of optional. The social network giant aimed at generating context and encouraging the circ...
large_corpus_distillation
"Structured kNN-Training-Like a regular kNN, the second part of the training of SkNN consists only of storing the elements of trained sequence in special way. Each element of training sequences is stored in node related to the class of previous element in sequence. Every first element is stored in node `START`."
large_corpus_distillation
"Chinese Library Classification-Other classifications-University of Leeds Classification of Books in Chinese, UK (36 pages of Catalog in PDF) Harvard-Yenching Classification System New Classification Scheme for Chinese Libraries (commonly used in Taiwan, Hong Kong and Macau) "
large_corpus_distillation
"Heap (data structure)-Operations-The common operations involving heaps are: Basicfind-max (or find-min): find a maximum item of a max-heap, or a minimum item of a min-heap, respectively (a.k.a. peek) insert: adding a new key to the heap (a.k.a., push) extract-max (or extract-min): returns the node of maximum value fro...
large_corpus_distillation
"Kahn process networks-Properties-A real application can not have unbounded FIFOs and therefore scheduling and maximum capacity of FIFOs must be designed into a practical implementation. The maximum capacity of FIFOs can be handled in several ways: FIFO bounds can be mathematically derived in design to avoid FIFO overf...
large_corpus_distillation
"Data cooperative-Challenges-Regulations and policies Current policies and regulations regarding privacy, data reuse and deletion, data interoperability, and portability enable a select group of stakeholders to dominate data ownership. The challenge here is that in order for these regulations and policies to change (sp...
large_corpus_distillation
"Bluetooth-Health concerns-Bluetooth uses the radio frequency spectrum in the 2.402 GHz to 2.480 GHz range, which is non-ionizing radiation, of similar bandwidth to that used by wireless and mobile phones. No specific harm has been demonstrated, even though wireless transmission has been included by IARC in the possibl...
large_corpus_distillation
"Generalized assignment problem-Greedy approximation algorithm-For the problem variant in which not every item must be assigned to a bin, there is a family of algorithms for solving the GAP by using a combinatorial translation of any algorithm for the knapsack problem into an approximation algorithm for the GAP.Using a...
large_corpus_distillation
"Flatness (systems theory)-Definition-A nonlinear system Rank \u2202f(x,u)\u2202u=m is flat, if there exists an output y(t)=(y1(t),...,ym(t)) that satisfies the following conditions: The signals yi,i=1,...,m are representable as functions of the states xi,i=1,...,n and inputs ui,i=1,...,m and a finite number of deri...
large_corpus_distillation
"FEAL-FEAL-In response, the designers introduced a variable-round cipher, FEAL-N (Miyaguchi, 1990), where \"N\" was chosen by the user, together with FEAL-NX, which had a larger 128-bit key. Biham and Shamir's differential cryptanalysis (1991) showed that both FEAL-N and FEAL-NX could be broken faster than exhaustive s...
large_corpus_distillation
"External sorting-External merge sort-Run a first merge pass combining 25\u00d7100 MB chunks at a time, resulting in 20\u00d72.5 GB sorted chunks."
large_corpus_distillation
larger numbers of colors; the equitable chromatic threshold of G is the smallest k such that G has equitable colorings for any number of colors greater than or equal to k.The Hajnal\u2013Szemer\u00e9di theorem, posed as a conjecture by Paul Erd\u0151s (1964) and proven by Andr\u00e1s Hajnal and Endre Szemer\u00e9di (19...
large_corpus_distillation
"Boyer\u2013Moore\u2013Horspool algorithm-Description-Like Boyer\u2013Moore, Boyer\u2013Moore\u2013Horspool preprocesses the pattern to produce a table containing, for each symbol in the alphabet, the number of characters that can safely be skipped. The preprocessing phase, in pseudocode, is as follows (for an alphabet...
large_corpus_distillation
"42 (number)-Mathematics-42 is the largest number n such that there exist positive integers p, q, r with 1 = 1/n + 1/p + 1/q + 1/r 42 is the smallest number k such that for every Riemann surface C of genus g\u22652 , #Aut(C) \u2264 k deg(KC) = k(2g \u2212 2) (Hurwitz's automorphisms theorem) 42 is the sum of the first...
large_corpus_distillation
locally for 14 days. If a user tests positive for infection, the last 14 days of their daily encryption keys can be uploaded to a central server, where it is then broadcast to all devices on the network. The method through which daily encryption keys are transmitted to the central server and broadcast is defined by ind...
large_corpus_distillation
"Cache performance measurement and metric-Cache performance measurement and metric-A CPU cache is a piece of hardware that reduces access time to data in memory by keeping some part of the frequently used data of the main memory in a 'cache' of smaller and faster memory."
large_corpus_distillation
\u2260 ba. Let the orders of a and b be N and M respectively.\nAlice chooses two random numbers n < N and m < M and sends u = ambn to Bob.\nBob picks two random numbers r < N and s < M and sends v = arbs to Alice.\nThe common key shared by Alice and Bob is K = am + rbn + s.\nAlice computes the key by K = amvbn.\nBob co...
large_corpus_distillation
"Cyclically ordered group-Cyclically ordered group-In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order."
large_corpus_distillation
"Binary-to-text encoding-Encoding standards-The table below compares the most used forms of binary-to-text encodings. The efficiency listed is the ratio between the number of bits in the input and the number of bits in the encoded output.\nThe 95 isprint codes 32 to 126 are known as the ASCII printable characters.\nSom...
large_corpus_distillation
the mean should still be approximately valid. On the\n9.2.7 https://stats.libretexts.org/@go/page/10212"
large_corpus_distillation
"Proximity problems-Problems on points-Closest pair of points: Given N points, find two with the smallest distance between them Closest point query / nearest neighbor query: Given N points, find one with the smallest distance to a given query point All nearest neighbors problem (construction of the nearest-neighbor gra...
large_corpus_distillation
"Instruction set architecture-Classification of ISAs-An ISA may be classified in a number of different ways. A common classification is by architectural complexity. A complex instruction set computer (CISC) has many specialized instructions, some of which may only be rarely used in practical programs. A reduced instruc...
large_corpus_distillation
"Evolution of a random network-Conditions for emergence of a giant component-In the Erd\u0151s\u2013R\u00e9nyi model, the average degree \u27e8k\u27e9 of a graph with n vertices and N edges is given by \u27e8k\u27e9=2Nn The condition for the emergence of a giant component is: \u27e8k\u27e9=1 Thus, one link is suffici...
large_corpus_distillation
"Race condition-In software-A program must be correctly synchronized to avoid the kinds of counterintuitive behaviors that can be observed when code is reordered. The use of correct synchronization does not ensure that the overall behavior of a program is correct. However, its use does allow a programmer to reason abou...
large_corpus_distillation
of 100p%, then on repeated applications of this computation, the future observation Xn+1 will fall in the predicted interval 100p% of the time.\nNotice that this prediction distribution is more conservative than using the estimated mean X\u00af and known variance 1, as this uses variance 1+(1/n) , hence yields wider...
large_corpus_distillation
(for a total of 140 non-ASCII characters): Adds 44 more pre-composed uppercase letters, bringing them to the same count as the lowercase Does this by replacing 12 ASCII control characters and allocating 32 graphical characters to the C1 control area, breaking ISO 2022 compatibilityConversion from VSCII-3 to VSCII-2 or ...
large_corpus_distillation
that X is\nthe predictor variable, Y is the response variable, and that (g 1 ,g 2 ,\u2026,g n ) is a sequence of real-valued functions. We can apply the results of this section to find the\nlinear function of (g 1 (X),g 2 (X),\u2026,g n (X)) that is closest to Y in the mean square sense. We just replace X i with g i (X...
large_corpus_distillation
Can he spend 6 hours on Chemistry and 18 hours on Algebra?\n\uf128 Exercise 5.6E.45\nJocelyn is pregnant and needs to eat at least 500 more calories a day than usual. When buying groceries one day with a budget\nof $15 for the extra food, she buys bananas that have 90 calories each and chocolate granola bars that have ...
large_corpus_distillation
"Matroid oracle-Algorithms-Many problems on matroids are known to be solvable in polynomial time, by algorithms that access the matroid only through an independence oracle or another oracle of equivalent power, without need of any additional assumptions about what kind of matroid has been given to them. These polynomia...
large_corpus_distillation
"Null (SQL)-Null (SQL)-In SQL, null or NULL is a special marker used to indicate that a data value does not exist in the database. Introduced by the creator of the relational database model, E. F. Codd, SQL null serves to fulfil the requirement that all true relational database management systems (RDBMS) support a repr...
large_corpus_distillation
predicting the probability of failure of a given process, system or product. It is also used in marketing applications such as prediction of a customer's propensity to purchase a product or halt a subscription, etc. In economics, it can be used to predict the likelihood of a person ending up in the labor force, and a b...
large_corpus_distillation
"k\u2208N M X M\nfor every +. Hence \u221e is a tail random variable for the IID sequence . From the Kolmogorov 0-1 law, \u221e must be a constant.\nE(M )=\u03bc n M =\u03bc\nFinally, convergence in mean implies that the means converge, and since n for each , it follows that \u221e .\nExchangeable Variables\n(\u03a9,F,...
large_corpus_distillation
"f has a local minimum at \u22122 and a local maximum at 3.\n\uf00c Example 4.5.2: Using the First Derivative Test\nUse the first derivative test to find the location of all local extrema for\nf(x)=5x1/3\u2212x5/3.\nUse a graphing utility to confirm\nyour results.\nSolution\nStep 1. The derivative is\n5 5 5 5x2/3 5\u22...
large_corpus_distillation
"Security-Enhanced Linux-Adoption-SELinux has been implemented in Android since version 4.3.Among free community-supported Linux distributions, Fedora was one of the earliest adopters, including support for it by default since Fedora Core 2. Other distributions include support for it such as Debian as of version 9 Stre...
large_corpus_distillation
"Delta-matroid-Delta-matroid-An alternative and equivalent definition is that a family of sets forms a delta-matroid when the convex hull of its indicator vectors (the analogue of a matroid polytope) has the property that every edge length is either one or the square root of two.\nDelta-matroids were defined by Andr\u0...
large_corpus_distillation
"Maximum flow problem-Integral flow theorem-The integral flow theorem states that If each edge in a flow network has integral capacity, then there exists an integral maximal flow.The claim is not only that the value of the flow is an integer, which follows directly from the max-flow min-cut theorem, but that the flow o...
large_corpus_distillation
"Deletion (genetics)-Causes-Causes include the following: Losses from translocation Chromosomal crossovers within a chromosomal inversion Unequal crossing over Breaking without rejoining "
large_corpus_distillation
"Scope (logic)-Scope (logic)-In logic, the scope of a quantifier or a quantification is the range in the formula where the quantifier \"engages in\". It is put right after the quantifier, often in parentheses. Some authors describe this as including the variable put right after the forall or exists symbol. In the formu...
large_corpus_distillation
"Poisson distribution-Properties-The lower bound can be proved by noting that P(X\u2212Y\u22650\u2223X+Y=i) is the probability that {\\textstyle Z\\geq {\\frac {i}{2}},} where Bin {\\textstyle Z\\sim \\operatorname {Bin} \\left(i,{\\frac {\\lambda }{\\lambda +\\mu }}\\right),} which is bounded below by 0.5 {\\texts...
large_corpus_distillation
"Gr\u00f6bner basis-Example and counterexample-Let R=Q[x,y] be the ring of bivariate polynomials with rational coefficients and consider the ideal I=\u27e8f,g\u27e9 generated by the polynomials f=x2\u2212y ,g=x3\u2212x .By reducing g by f, one obtains a new polynomial k such that I=\u27e8f,k\u27e9: k=g\u2212xf=xy\u2...
large_corpus_distillation
developed that normally gave double precision results within one unit in the last place (ULP) at high speed."
large_corpus_distillation
"Minimum bottleneck spanning tree-Camerini's algorithm for undirected graphs-Pseudocode The procedure has two input parameters. G is a graph, w is a weights array of all edges in the graph G."
large_corpus_distillation
"Tracing just-in-time compilation-Technical details-These steps are explained in detail in the following: Profiling phase The goal of profiling is to identify hot loops. This is often done by counting the number of iterations for every loop. After the count of a loop exceeds a certain threshold, the loop is considered ...
large_corpus_distillation
"Co-training-Uses-Co-training has been used to classify web pages using the text on the page as one view and the anchor text of hyperlinks on other pages that point to the page as the other view. Simply put, the text in a hyperlink on one page can give information about the page it links to. Co-training can work on \"u...
large_corpus_distillation
"Reliability engineering-Reliability testing-The purpose of reliability testing is to discover potential problems with the design as early as possible and, ultimately, provide confidence that the system meets its reliability requirements.\nReliability testing may be performed at several levels and there are different t...
large_corpus_distillation
reduction of available hopping channels and backward compatibility with legacy Bluetooth devices was resolved in version 1.2 of the Bluetooth Standard (2003). Such a situation can often happen in the scenarios that use unlicensed spectrum.\nIn addition, dynamic radio frequency interference is expected to occur in the s...
large_corpus_distillation
"Latency oriented processor architecture-Implementation techniques-Superscalar execution A super-scalar instruction pipeline pulls in multiple instructions in every clock cycle, as opposed to a simple scalar pipeline. This increases Instruction level parallelism (ILP) as many times as the number of instructions fetched...
large_corpus_distillation
"Program counter-Program counter-The program counter (PC), commonly called the instruction pointer (IP) in Intel x86 and Itanium microprocessors, and sometimes called the instruction address register (IAR), the instruction counter, or just part of the instruction sequencer, is a processor register that indicates where ...
large_corpus_distillation
"Unix-Impact-Making the command interpreter an ordinary user-level program, with additional commands provided as separate programs, was another Multics innovation popularized by Unix. The Unix shell used the same language for interactive commands as for scripting (shell scripts \u2013 there was no separate job control ...
large_corpus_distillation
"Application Interface Specification-Backward compatibility-As an exception to the previous rule, new enum values, flag values, or union fields can be added to an existing enum, flag, or union type without changing the type name, as long as the size of the enum, flag, or union type does not change.\nAIS implementers mu...
large_corpus_distillation
"Coh-Metrix-Coh-Metrix-Coh-Metrix is a computational tool that produces indices of the linguistic and discourse representations of a text. Developed by Arthur C. Graesser and Danielle S. McNamara, Coh-Metrix analyzes texts on many different features."
large_corpus_distillation
smile is the same as the miserable smile,\nb. the miserable smile is the same as the neutral control, and\nc. the false smile is different from the neutral control.\nThis apparent contradiction is avoided if you are careful not to accept the null hypothesis when you fail to reject it. The finding that\nthe false smile ...
large_corpus_distillation
"Multiplication table-In abstract algebra-Tables can also define binary operations on groups, fields, rings, and other algebraic systems. In such contexts they are called Cayley tables. Here are the addition and multiplication tables for the finite field Z5: for every natural number n, there are also addition and multi...
large_corpus_distillation
"Generalized context-free grammar-Linear Context-free Rewriting Systems (LCFRSs)-On the other hand, LCFRSs are strictly more expressive than linear-indexed grammars and their weakly equivalent variant tree adjoining grammars (TAGs). Head grammar is another example of an LCFRS that is strictly less powerful than the cla...
large_corpus_distillation
are set using an E2PROM. The output registers can be preloaded into a potentially invalid state for testing by a GAL22V10 programmer. Inputs and outputs include active pull-ups and are transistor-transistor logic compatible due to high-impedance buffers.A user electronic signature section is included for details such a...
large_corpus_distillation
"Planned obsolescence-Variants-Where older versions of software contain unpatched security vulnerabilities, such as banking and payment apps, deliberate lock out may be a risk-based response to prevent the proliferation of malware in those older versions. If the original vendor of the software is no longer in business,...
large_corpus_distillation
"Decision tree learning-Metrics-Algorithms for constructing decision trees usually work top-down, by choosing a variable at each step that best splits the set of items. Different algorithms use different metrics for measuring \"best\". These generally measure the homogeneity of the target variable within the subsets. S...
large_corpus_distillation
"ST200 family-ST200 family-The ST200 is a family of very long instruction word (VLIW) processor cores based on technology jointly developed by Hewlett-Packard Laboratories and STMicroelectronics under the name Lx. The main application of the ST200 family is embedded media processing."
large_corpus_distillation
"Knapsack problem-Solving-0-1 knapsack problem A similar dynamic programming solution for the 0-1 knapsack problem also runs in pseudo-polynomial time. Assume w1,w2,\u2026,wn,W are strictly positive integers. Define m[i,w] to be the maximum value that can be attained with weight less than or equal to w using items u...
large_corpus_distillation
"Return type-Returning a value from a method-Any method declared void doesn't return a value. It does not need to contain a return statement, but it may do so. In such a case, a return statement can be used to branch out of a control flow block and exit the method and is simply used like this: return; If you try to ret...
large_corpus_distillation
which will be written as Ind HG or in short Ind .\nAccording to the Frobenius reciprocity, these two homomorphisms are adjoint with respect to the bilinear forms \u27e8\u22c5,\u22c5\u27e9H and \u27e8\u22c5,\u22c5\u27e9G.\nFurthermore, the formula Ind Res Ind (\u03c6)\u22c5\u03c8 shows that the image of Ind :R(H)\...
large_corpus_distillation
"Shell account-Shell account-A shell account is a user account on a remote server, traditionally running under the Unix operating system, which gives access to a shell via a command-line interface protocol such as telnet, SSH, or over a modem using a terminal emulator."
large_corpus_distillation
"Android Team Awareness Kit-Commercial Licensing-ATAK PR OBJECT CODE LICENSE GRANT: YOU ARE GRANTED A PERPETUAL, NON-EXCLUSIVE, NO-CHARGE, ROYALTY-FREE RIGHT TO USE, COPY, PUBLISH, AND/OR DISTRIBUTE THE ATAK PR SOFTWARE IN OBJECT CODE FORMAT, AND TO PERMIT PERSONS TO WHOM THE SOFTWARE IS FURNISHED TO DO SO. YOU ARE NOT...
large_corpus_distillation
"K-d tree-Open source implementations-ALGLIB has C# and C++ implementations of k-d tree based nearest neighbor and approximate nearest neighbor algorithms CGAL the Computational Algorithms Library, has an implementations of k-d tree based nearest neighbor, approximate nearest neighbor as well as range search algorithms...
large_corpus_distillation
"n\u2208N\nFind the probability density function of the difference between the number of successes and the number of failures in\np\u2208[0,1]\nBernoulli trials with success parameter\nAnswer\nf(k)=( n )p(n+k)/2(1\u2212p)(n\u2212k)/2 k\u2208{\u2212n,2\u2212n,\u2026,n\u22122,n}\n(n+k)/2 for\nThe Poisson Distribution\nt\...
large_corpus_distillation
"Man-on-the-side attack-Definition-Since man-on-the-side attack requires a strong timing advantage, a reason to why people use Man-on-the-side attack may be explained through their psychological behaviour. Faculty Member from the University of Stavanger, Maria Kjaerland, conducted an exploration study to examine the re...
large_corpus_distillation
"Python (programming language)-Syntax and semantics-Python makes a distinction between lists and tuples. Lists are written as [1, 2, 3], are mutable, and cannot be used as the keys of dictionaries (dictionary keys must be immutable in Python). Tuples, written as (1, 2, 3), are immutable and thus can be used as keys of ...
large_corpus_distillation
Socket: FP6.\nAll the CPUs support DDR4-3200 or LPDDR4-4266 in dual-channel mode.\nL1 cache: 64 KB (32 KB data + 32 KB instruction) per core.\nL2 cache: 512 KB per core.\nAll the CPUs support 16 PCIe 3.0 lanes.\nIncludes integrated GCN 5th generation GPU.\nFabrication process: TSMC 7nm FinFET.\nEmbedded CPUs Server CPU...
large_corpus_distillation
"No-broadcasting theorem-No-Local-Broadcasting Theorem-The second theorem states that local broadcasting is only possible when the state is a classical probability distribution. This means that a state can only be broadcast locally if it does not have any quantum correlations. Luo reconciled this theorem with the gener...
large_corpus_distillation
"Set identification-Example: missing data-This example is due to Tamer (2010). Suppose there are two binary random variables, Y and Z. The econometrician is interested in P(Y=1) . There is a missing data problem, however: Y can only be observed if Z=1 By the law of total probability, P(Y=1)=P(Y=1\u2223Z=1)P(Z=1)+P(Y=...
large_corpus_distillation
"Miscellaneous Symbols and Arrows-Emoji-The Miscellaneous Symbols and Arrows block contains seven emoji: U+2B05\u2013U+2B07, U+2B1B\u2013U+2B1C, U+2B50 and U+2B55.The block has fourteen standardized variants defined to specify emoji-style (U+FE0F VS16) or text presentation (U+FE0E VS15) for the seven emoji."
large_corpus_distillation
"Fr\u00e9chet inequalities-Quantum Fr\u00e9chet bounds-Similar bounds hold also in quantum mechanics in the case of separable quantum systems and that entangled states violate these bounds. Consider a composite quantum system. In particular, we focus on a composite quantum system AB made by two finite subsystems denote...
large_corpus_distillation
"Centered hexagonal number-Properties-In base 10 one can notice that the hexagonal numbers' rightmost (least significant) digits follow the pattern 1\u20137\u20139\u20137\u20131 (repeating with period 5).\nThis follows from the last digit of the triangle numbers (sequence A008954 in the OEIS) which repeat 0-1-3-1-0 whe...
large_corpus_distillation
list.firstNode == null list.firstNode := newNode list.lastNode := newNode newNode.prev := null newNode.next := null else insertBefore(list, list.firstNode, newNode) A symmetric function inserts at the end: function insertEnd(List list, Node newNode) if list.lastNode == null insertBeginning(list, newNode) else insertAft...
large_corpus_distillation
"Google Cloud Storage-Features-Access Control - Google Cloud Storage uses access control lists (ACLs) to manage object and bucket access. An ACL consists of one or more entries, each granting a specific permission to a scope. Permissions define what someone can do with an object or bucket (for example, READ or WRITE). ...
large_corpus_distillation
"Location-based advertising-Concerns-Perception of spam Another major concern for LBA is spam; consumers can easily perceive LBA as spam if it is done inappropriately. According to Fuller, spam is defined as \u201cany unsolicited marketing message sent via electronic mail or to a mobile phone\u201d. In short, spam is a...
large_corpus_distillation