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communication is that responses from servers must be marked as cacheable or non-cacheable.\nAn effective cache can reduce the number of client-server interactions, which contributes positively to the performance of the system. At least, from a user\u2019s point of view." | large_corpus_distillation |
"Piece table-Operations-For the buffers and piece table given above, the following text is shown: Lorem ipsum dolor sit amet Insert Inserting characters to the text consists of: Appending characters to the \"add file\" buffer, and Updating the entry in piece table (breaking an entry into two or three) Delete Single cha... | large_corpus_distillation |
"Lambda calculus-Informal description-Alpha equivalence A basic form of equivalence, definable on lambda terms, is alpha equivalence. It captures the intuition that the particular choice of a bound variable, in an abstraction, does not (usually) matter.\nFor instance, \u03bbx.x and \u03bby.y are alpha-equivalent lamb... | large_corpus_distillation |
balances the two terms in the display above, is given as follows: set k\u2217=\u230aBn4d+4\u230b , for i=1,2,\u2026,k\u2217 and for i=k\u2217+1,\u2026,n With optimal weights the dominant term in the asymptotic expansion of the excess risk is O(n\u22124d+4) . Similar results are true when using a bagged nearest ne... | large_corpus_distillation |
"Asclepios Project-Asclepios program-Asclepios II Currently in the early stages of organization." | large_corpus_distillation |
"Twin-width-Algorithms-Approximation algorithms Twin-width has also been applied in approximation algorithms. In particular, in the graphs of bounded twin-width, it is possible to find an approximation to the minimum dominating set with bounded approximation ratio. This is in contrast to more general graphs, for which ... | large_corpus_distillation |
"CarPlay-Software-Apple's CarPlay-enabled apps include: Phone Apple Music Apple Maps Calendar Messages Audiobooks (part of Apple Books) Podcasts Settings NewsDevelopers must request permission from Apple to develop CarPlay-enabled apps. Such apps fall into five categories: Audio: primarily provide audio content, such... | large_corpus_distillation |
"Wingtip vortices-Effects and mitigation-Another method of reducing induced drag is the use of winglets, as seen on most modern airliners. Winglets increase the effective aspect ratio of the wing, changing the pattern and magnitude of the vorticity in the vortex pattern. A reduction is achieved in the kinetic energy in... | large_corpus_distillation |
"Elo rating system-Different ratings systems-Performance rating Performance rating or special rating is a hypothetical rating that would result from the games of a single event only. Some chess organizations :\u200ap. 8\u200a use the \"algorithm of 400\" to calculate performance rating. According to this algorithm, per... | large_corpus_distillation |
"Punycode-Encoding procedure-As stated in RFC 3492, \"Punycode is an instance of a more general algorithm called Bootstring, which allows strings composed from a small set of 'basic' code points to uniquely represent any string of code points drawn from a larger set.\" Punycode defines parameters for the general Bootst... | large_corpus_distillation |
"Bluetooth mesh networking-Implementations-Approved (\"qualified\") by Bluetooth SIG Free and open-source software implementations Free software and open source software implementations include the following: The official (included in Linux kernel by Linus Torvalds in 2001) Linux Bluetooth protocol stack BlueZ, dual fr... | large_corpus_distillation |
"Maximum entropy probability distribution-Distributions with measured constants-Discrete case Suppose S={x1,x2,...} is a (finite or infinite) discrete subset of the reals and we choose to specify n functions f1,...,fn and n numbers a1,...,an. We consider the class C of all discrete random variables X which are suppor... | large_corpus_distillation |
"Monotonic function-In calculus and analysis-if this set is countable, then f is absolutely continuous if f is a monotonic function defined on an interval [a,b] , then f is Riemann integrable.An important application of monotonic functions is in probability theory. If X is a random variable, its cumulative distrib... | large_corpus_distillation |
"Element distinctness problem-Turing Machine complexity-A single-tape deterministic Turing machine can solve the problem, for n elements of m \u2265 log n bits each, in time O(n2m(m+2\u2013log n)), while on a nondeterministic machine the time complexity is O(nm(n + log m))." | large_corpus_distillation |
"Discourse representation theory-Discourse representation structures-A set of DRS conditions representing information that has been given about discourse referents.Consider Sentence (1) below: (1) A farmer owns a donkey.The DRS of (1) can be notated as (2) below: (2) [x,y: farmer(x), donkey(y), owns(x,y)]What (2) says ... | large_corpus_distillation |
"Effi (C++)-List of Effi libraries-Bridge - communication tool that passes data between applications. There are 2 implementations for different protocols: http Webservices DLLoader (Dynamic Library Loader) - makes it possible to run several applications (load several libraries) within one process. It allows to configur... | large_corpus_distillation |
of the event (from the simulation)\nNormal Approximation to the Gamma Distribution\nk\u2208(0,\u221e) b\u2208(0,\u221e)\nRecall that the gamma distribution with shape parameter and scale parameter is a continuous distribution\n(0,\u221e) f\non with probability density function given by\n1\nf(x)= xk\u22121e\u2212x/b, x\... | large_corpus_distillation |
the outer test set is used as a validation set to provide an unbiased evaluation of the model fit. Typically, this is repeated for many different hyperparameters (or even different model types) and the validation set is used to determine the best hyperparameter set (and model type) for this inner training set. After th... | large_corpus_distillation |
"ChatSecure-Reception-In November 2014, \"ChatSecure + Orbot\" received a perfect score on the Electronic Frontier Foundation's \"Secure Messaging Scorecard\"; the combination received points for having communications encrypted in transit, having communications encrypted with keys the provider doesn't have access to (e... | large_corpus_distillation |
"Word learning biases-Noun-category bias-The noun-category bias places regulations on the possible interpretations that a child might attach to a newly encountered noun. Experiments from Waxman and Gelman as well as Markman and Hutchinson provide results which support the claim that children show preference for categor... | large_corpus_distillation |
"Exponential distribution-Statistical inference-The bias of mle is equal to which yields the bias-corrected maximum likelihood estimator An approximate minimizer of mean squared error (see also: bias\u2013variance tradeoff) can be found, assuming a sample size greater than two, with a correction factor to the MLE: Th... | large_corpus_distillation |
"Grammeme-Grammeme-A grammeme in linguistics is a unit of grammar, just as a lexeme is a lexical unit and a morpheme is a morphological unit. (See emic unit.) More specifically, a grammeme is a value of a grammatical category. For example, singular and plural are grammemes of the category of number.\nGrammeme, earlier ... | large_corpus_distillation |
"Term indexing-Term indexing-In computer science, a term index is a data structure to facilitate fast lookup of terms and clauses in a logic program, deductive database, or automated theorem prover." | large_corpus_distillation |
"Weighted constraint satisfaction problem-Resolution of binary/ternary WCSPs-Another more recent approach is based on super-reparametrizations which allows to relax the problem to compute tighter bounds." | large_corpus_distillation |
"E-reader-E-reader applications-Many of the major book retailers and third-party developers offer e-reader applications for desktops, tablets, and mobile devices, to allow the reading of e-books and other documents independent of dedicated e-book devices. E-reader applications are available for Mac, Linux, and PC compu... | large_corpus_distillation |
"Step 6. Check. Does this make sense?\nYes, 240 is half of 480, so 50% makes sense.\nStep 7. Answer the question with a complete sentence. Of the total calories in each brownie, 50% is fat.\n\uf128 Try It 3.2.17\nSolve. Round to the nearest whole percent.\nVeronica is planning to make muffins from a mix. The package sa... | large_corpus_distillation |
"Covering problems-Kinds of covering problems-There are various kinds of covering problems in graph theory, computational geometry and more; see Category:Covering problems. Other stochastic related versions of the problem can be found. For Petri nets, for example, the covering problem is defined as the question if for ... | large_corpus_distillation |
"Google Cloud Platform-Public Customers-Customers announced in 2023 include: Kingfisher, The Government of Kuwait, Deutsche B\u00f6rse Group, Unity, Uber, FanCode, and Mercedes-Benz." | large_corpus_distillation |
"Circle packing in a square-Solutions-Solutions (not necessarily optimal) have been computed for every N \u2264 10,000. Solutions up to N =20 are shown below.\nThe obvious square packing is optimal for 1, 4, 9, 16, 25, and 36 circles (the six smallest square numbers), but ceases to be optimal for larger squares from 49... | large_corpus_distillation |
"Dask (software)-Integrations-For memory constrained workloads, Dask offers alternatives, such as Parallel Meta-estimators for parallelizing and scaling out tasks that are not parallelized within scikit-learn and Incremental Hyperparameter Optimization for scaling hyper-parameter search and parallelized estimators.\nXG... | large_corpus_distillation |
"Inflection-Examples in English-Despite the march toward regularization, modern English retains traces of its ancestry, with a minority of its words still using inflection by ablaut (sound change, mostly in verbs) and umlaut (a particular type of sound change, mostly in nouns), as well as long-short vowel alternation. ... | large_corpus_distillation |
E is connective if \u03c0qE=0 for all negative integers q.\nconfiguration space constant A constant sheaf on a space X is a sheaf F on X such that for some set A and some map A\u2192F(X) , the natural map A\u2192F(X)\u2192Fx is bijective for any x in X.\ncontinuous Continuous cohomology.\ncontractible space A space... | large_corpus_distillation |
"Comparison of TLS implementations-Assisted cryptography-This section lists the known ability of an implementation to take advantage of CPU instruction sets that optimize encryption, or utilize system specific devices that allow access to underlying cryptographic hardware for acceleration or for data separation." | large_corpus_distillation |
"Training, validation, and test data sets-Validation data set-A validation data set is a data-set of examples used to tune the hyperparameters (i.e. the architecture) of a classifier. It is sometimes also called the development set or the \"dev set\". An example of a hyperparameter for artificial neural networks includ... | large_corpus_distillation |
Firefox browsers. In case of Ice Cream Sandwich (4.0.x), Google stopped supporting that branch of Android with updates to its Chrome browser after Chrome 43, and moved up to Android 4.1 as the oldest release supported by Google Chrome.The open-source nature of Firefox has made it possible to maintain its development fo... | large_corpus_distillation |
"StyleGAN-Architecture-At training time, usually only one style latent vector is used per image generated, but sometimes two (\"mixing regularization\") in order to encourage each style block to independently perform its stylization without expecting help from other style blocks (since they might receive an entirely di... | large_corpus_distillation |
"Special Interest Group on Information Retrieval-Awards-The group gives out several awards to contributions to the field of information retrieval. The most important award is the Gerard Salton Award (named after the computer scientist Gerard Salton), which is awarded every three years to an individual who has made \"si... | large_corpus_distillation |
source code. For example, if a system does not contain a spell checker in its String implementation, it could be added without modifying the String source code." | large_corpus_distillation |
"Passphrase-Example methods-One method to create a strong passphrase is to use dice to select words at random from a long list, a technique often referred to as diceware. While such a collection of words might appear to violate the \"not from any dictionary\" rule, the security is based entirely on the large number of ... | large_corpus_distillation |
"Bluejacking-Usage-Bluejacking is usually not very harmful, except that bluejacked people generally don't know what has happened, and so may think that their phone is malfunctioning. Usually, a bluejacker will only send a text message, but with modern phones it's possible to send images or sounds as well. Bluejacking h... | large_corpus_distillation |
text to enter as the label for the object. Should the label be person, man, or pedestrian?The creators of LabelMe decided to leave these decisions up to the annotator. The reason for this is that they believe people will tend to annotate the images according to what they think is the natural labeling of the images. Thi... | large_corpus_distillation |
"Independence-friendly logic-Semantics-Kr Kr Kr U\u2061(\u03c7) Kr Kr Kr U\u2061(\u03c7) Kr Kr U\u222a{v}\u2061(\u03c8),v,gv(y1,...,yn)) , where y1,...,yn is a list of the variables in U\u2216V Kr Kr U\u222a{v}\u2061(\u03c8) If \u03c6 is an IF sentence, its (unrelativized) Kreiselization is defined as Kr Kr \u2205(... | large_corpus_distillation |
"Laser-Fundamentals-Lasers are characterized according to their wavelength in a vacuum. Most \"single wavelength\" lasers produce radiation in several modes with slightly different wavelengths. Although temporal coherence implies some degree of monochromaticity, some lasers emit a broad spectrum of light or emit differ... | large_corpus_distillation |
by sampling different parameters in the same hypothesis is Bertrand's paradox.) Similarly, there is a 97.5% chance that the present lies in the first 97.5% of human history, so there is a 97.5% chance that the total lifespan of humanity will be at least 200000 40 39 205100 years ;In other words, Gott's argument gives a... | large_corpus_distillation |
to compare each student's result against other students." | large_corpus_distillation |
"Elliptic curve point multiplication-Point multiplication-Double-and-add The simplest method is the double-and-add method, similar to square-and-multiply in modular exponentiation. The algorithm works as follows: To compute sP, start with the binary representation for s: s=s0+2s1+22s2+\u22ef+2n\u22121sn\u22121 , where... | large_corpus_distillation |
"Graph isomorphism-Graph isomorphism-If an isomorphism exists between two graphs, then the graphs are called isomorphic and denoted as G\u2243H . In the case when the bijection is a mapping of a graph onto itself, i.e., when G and H are one and the same graph, the bijection is called an automorphism of G." | large_corpus_distillation |
"Vector logic-Vector logic-Vector logic is an algebraic model of elementary logic based on matrix algebra. Vector logic assumes that the truth values map on vectors, and that the monadic and dyadic operations are executed by matrix operators. \"Vector logic\" has also been used to refer to the representation of classic... | large_corpus_distillation |
"Parkerian Hexad-Attributes from the CIA triad-Integrity Integrity refers to being correct or consistent with the intended state of information. Any unauthorized modification of data, whether deliberate or accidental, is a breach of data integrity. For example, data stored on disk are expected to be stable \u2013 they ... | large_corpus_distillation |
"Arrow\u2013Debreu model-Formal statement-households The households are indexed as i\u2208I Each household begins with an endowment of commodities ri\u2208R+N Each household begins with a tuple of ownerships of the producers \u03b1i,j\u22650 . The ownerships satisfy \u2211i\u2208I\u03b1i,j=1\u2200j\u2208J The budge... | large_corpus_distillation |
"Opposite ring-Examples-Thus, one antiautomorphism 14 13 25 26 20 16 17 19 10 23 22 11 15 21 12 24 ) is given by the same permutation. The other five can be calculated (in the multiplicative notation the composition symbol \u2218 can be dropped): 14 13 25 26 20 16 17 19 10 23 22 11 15 21 12 24 13 25 26 14 16 19 20 17 ... | large_corpus_distillation |
"Machine learning-Software-Software suites containing a variety of machine learning algorithms include the following: Free and open-source software Proprietary software with free and open-source editions KNIME RapidMiner Proprietary software" | large_corpus_distillation |
"Weak supervision-Technique-Semi-supervised learning may refer to either transductive learning or inductive learning. The goal of transductive learning is to infer the correct labels for the given unlabeled data xl+1,\u2026,xl+u only. The goal of inductive learning is to infer the correct mapping from X to Y It is u... | large_corpus_distillation |
"Association rule learning-Algorithms-Many algorithms for generating association rules have been proposed.\nSome well-known algorithms are Apriori, Eclat and FP-Growth, but they only do half the job, since they are algorithms for mining frequent itemsets. Another step needs to be done after to generate rules from frequ... | large_corpus_distillation |
covariance, cov, as follows: dCov cov cov \u2061(\u2016X\u2212X\u2032\u2016,\u2016Y\u2212Y\u2033\u2016)." | large_corpus_distillation |
in many cases, such as when the group is odd order or simple." | large_corpus_distillation |
"Linear-feedback shift register-Applications-Uses in cryptography LFSRs have long been used as pseudo-random number generators for use in stream ciphers, due to the ease of construction from simple electromechanical or electronic circuits, long periods, and very uniformly distributed output streams. However, an LFSR is... | large_corpus_distillation |
"Coupled pattern learner-CPL description-Candidate extraction CPL finds new candidate instances by using newly promoted patterns to extract the noun phrases that co-occur with those patterns in the text corpus. CPL extracts, Category Instances Category Patterns Relation Instances Relation Patterns Candidate filtering C... | large_corpus_distillation |
careful with her private key), and that anyone eavesdropping on the channel will need Bob's private key in order to understand the message." | large_corpus_distillation |
"Vehicle identification number-Components-In order to identify the exact year in passenger cars and multipurpose passenger vehicles with a GVWR of 10,000 or less, one must read position 7 as well as position 10. For passenger cars, and for multipurpose passenger vehicles and trucks with a gross vehicle weight rating of... | large_corpus_distillation |
"Sampling Models\nRecall that many random experiments can be thought of as sampling experiments. For the general finite sampling model, we start\nD m n S\nwith a population with (distinct) objects. We select a sample of objects from the population, so that the sample space is\nX\nthe set of possible samples. If we sele... | large_corpus_distillation |
"Hardware security bug-Hardware security bug-In digital computing, hardware security bugs are hardware bugs or flaws that create vulnerabilities affecting computer central processing units (CPUs), or other devices which incorporate programmable processors or logic and have direct memory access, which allow data to be r... | large_corpus_distillation |
"Ring (mathematics)-Some examples of the ubiquity of rings-Many different kinds of mathematical objects can be fruitfully analyzed in terms of some associated ring." | large_corpus_distillation |
(13,25] , and (0,13] . Similarly, the bins are categorized into four classes. The next item i\u2208L is first assigned to its corresponding class. Inside that class, it is assigned to a bin using first-fit. Note that this algorithm is not an Any-Fit algorithm since it may open a new bin despite the fact that the curr... | large_corpus_distillation |
"JavaFX-History-On May 26, 2011, Oracle released the JavaFX 2.0 Beta. The beta release was only made available for 32 and 64 bit versions of Microsoft Windows XP, Windows Vista and Windows 7. An Early Access version for Mac OS X was also available for members of the JavaFX Partner Program at the time, while Linux suppo... | large_corpus_distillation |
"Subject side parameter-Theories in word ordering-In addition, Diana Massam also proposed that the Extended Projection Principle can be taken in account for the verb phrase movement, given the [+predicate] feature on the tense phrase." | large_corpus_distillation |
"Cantor's first set theory article-The proofs-First theorem To prove that the set of real algebraic numbers is countable, define the height of a polynomial of degree n with integer coefficients as: n \u2212 1 + |a0| + |a1| + ... + |an|, where a0, a1, ..., an are the coefficients of the polynomial. Order the polynomials... | large_corpus_distillation |
"Traffic classification-Classification methods-Port numbers Fast Low resource-consuming Supported by many network devices Does not implement the application-layer payload, so it does not compromise the users' privacy Useful only for the applications and services, which use fixed port numbers Easy to cheat by changing t... | large_corpus_distillation |
"Memory management unit-Overview-Benefits In some cases, a page fault may indicate a software bug, which can be prevented by using memory protection as one of key benefits of an MMU: an operating system can use it to protect against errant programs by disallowing access to memory that a particular program should not ha... | large_corpus_distillation |
"Ontology components-Relations-Events the changing of attributes or relations.\nActions types of events.Ontologies are commonly encoded using ontology languages." | large_corpus_distillation |
The\ndomain is the set of real numbers.\nIn interval form, the domain of is \u221e \u221e\nTRY IT #2 Find the domain of the function:\n...\nHOW TO\nGiven a function written in an equation form that includes a fraction, find the domain.\n1. Identify the input values.\n2. Identify any restrictions on the input. If there ... | large_corpus_distillation |
"Lexicographic order topology on the unit square-Properties-The order topology makes S into a completely normal Hausdorff space. Since the lexicographical order on S can be proven to be complete, this topology makes S into a compact space. At the same time, S contains an uncountable number of pairwise disjoint open int... | large_corpus_distillation |
"Numerical cognition-Developmental studies-Because of the numerous controls that were in place to rule out non-numerical factors, the experimenters infer that six-month-old infants are sensitive to differences between 8 and 16. Subsequent experiments, using similar methodologies showed that 6-month-old infants can disc... | large_corpus_distillation |
"Dynamic Markov compression-Algorithm-States are cloned just prior to transitioning to them. In the original DMC, the condition for cloning a state is when the transition from A to B is at least 2, and the count for B is at least 2 more than that. (When the second threshold is greater than 0, it guarantees that other s... | large_corpus_distillation |
changes in orientation, for example when a bus tilts while making a turn, assuming that the flywheel has a horizontal rotation axis. This effect can be counteracted by using two coaxial contra-rotating flywheels." | large_corpus_distillation |
"Manager (professional wrestling)-Role-While the basic goal of a manager to give their wrestlers a push does not change, the tactics depend on several factors, especially alignment. Managers, when used judiciously, can completely change the tone and inner workings of a wrestling match. A heel manager, for example, may ... | large_corpus_distillation |
forged SSL certificates using an MD5 collision which would be accepted by widely used web browsers.Increased interest in cryptographic hash analysis during the SHA-3 competition produced several new attacks on the SHA-2 family, the best of which are given in the table below. Only the collision attacks are of practical ... | large_corpus_distillation |
"Transitive closure-Transitive closure-In mathematics, the transitive closure R+ of a homogeneous binary relation R on a set X is the smallest relation on X that contains R and is transitive. For finite sets, \"smallest\" can be taken in its usual sense, of having the fewest related pairs; for infinite sets R+ is the u... | large_corpus_distillation |
problems. An algorithm solving such a problem in polynomial time is also able to solve any other NP problem in polynomial time. The most important P versus NP (\u201cP = NP?\u201d) problem, asks whether polynomial-time algorithms exist for solving NP-complete, and by corollary, all NP problems. It is widely believed th... | large_corpus_distillation |
"Viola\u2013Jones object detection framework-Components of the framework-Using To use a Viola-Jones classifier with f1,f2,...,fk on an image I , compute f1(I),f2(I),...fk(I) sequentially. If at any point, fi(I)=0 , the algorithm immediately returns \"no face detected\". If all classifiers return 1, then the algorit... | large_corpus_distillation |
"Biomarker (medicine)-Disease-related biomarkers and drug-related biomarkers-It is necessary to distinguish between disease-related and drug-related biomarkers. Disease-related biomarkers give an indication of the probable effect of treatment on patient (risk indicator or predictive biomarkers), if a disease already ex... | large_corpus_distillation |
"Gr\u00f6bner basis-Properties and applications of Gr\u00f6bner bases-Intersecting ideals If I and J are two ideals generated respectively by {f1, ..., fm} and {g1, ..., gk}, then a single Gr\u00f6bner basis computation produces a Gr\u00f6bner basis of their intersection I \u2229 J. For this, one introduces a new indet... | large_corpus_distillation |
immutable seals to allow verification of the original data." | large_corpus_distillation |
"Jordan normal form-Generalized eigenvectors-This can be used to show the uniqueness of the Jordan form. Let J1 and J2 be two Jordan normal forms of A. Then J1 and J2 are similar and have the same spectrum, including algebraic multiplicities of the eigenvalues. The procedure outlined in the previous paragraph can be us... | large_corpus_distillation |
that the model is consistent with the design and that the design is consistent with the specification." | large_corpus_distillation |
than x that appear more than twice in Pascal's triangle is O(x1/2)." | large_corpus_distillation |
"Static program analysis-Formal methods-Some of the implementation techniques of formal static analysis include: Abstract interpretation, to model the effect that every statement has on the state of an abstract machine (i.e., it 'executes' the software based on the mathematical properties of each statement and declarat... | large_corpus_distillation |
"2G-Phase-out-2G, understood as GSM and CdmaOne, has been superseded by newer technologies such as 3G (UMTS / CDMA2000), 4G (LTE / WiMAX) and 5G (5G NR). However, 2G networks were still available as of 2023 in most parts of the world, while notably excluding the majority of carriers in North America, East Asia, and Aus... | large_corpus_distillation |
"Partition function (statistical mechanics)-Canonical partition function-Connection to probability theory For simplicity, we will use the discrete form of the partition function in this section. Our results will apply equally well to the continuous form." | large_corpus_distillation |
"Life table-Life table-In actuarial science and demography, a life table (also called a mortality table or actuarial table) is a table which shows, for each age, what the probability is that a person of that age will die before their next birthday (\"probability of death\"). In other words, it represents the survivorsh... | large_corpus_distillation |
"Dangling pointer-Cause of dangling pointers-In many languages (e.g., the C programming language) deleting an object from memory explicitly or by destroying the stack frame on return does not alter associated pointers. The pointer still points to the same location in memory even though it may now be used for other purp... | large_corpus_distillation |
"Conjugate gradient method-Convergence properties-Practical convergence If initialized randomly, the first stage of iterations is often the fastest, as the error is eliminated within the Krylov subspace that initially reflects a smaller effective condition number. The second stage of convergence is typically well defin... | large_corpus_distillation |
"Entropic uncertainty-Sketch of proof-Babenko\u2013Beckner inequality The (q, p)-norm of the Fourier transform is defined to be sup f\u2208Lp(R)\u2016Ff\u2016q\u2016f\u2016p, where 1<p\u22642, and 1.\nIn 1961, Babenko found this norm for even integer values of q. Finally, in 1975, using Hermite functions as eigenfunc... | large_corpus_distillation |
year of age, which occurs in about 8 per 100,000 births in the United States." | large_corpus_distillation |
"Complex event processing-Integration with business process management-However, the optimization of a business does not rely solely upon its individual, end-to-end processes. Seemingly disparate processes can affect each other significantly. Consider this scenario: In the aerospace industry, it is good practice to moni... | large_corpus_distillation |
"E(X )\u2264E(X \u2228a )=E(Y )\u2264E(Y )=a (17.3.30)\n\u03c1 \u03c1 n\u2212\u03c1 \u03c1 0 n\na \u03c1\nso n is an upper bound on the expected value of the candidate chosen by the stopping time .\n\u03c1=\u03c4 Y \u03c4 \u2264k\u22121\nNext, we will show that in the special case that , the process is a martingale. On... | large_corpus_distillation |
"ANNOVAR-Limitations of ANNOVAR-Two limitations of ANNOVAR relate to detection of common diseases and larger structural variant annotations. These problems are present in all current variant annotation tools." | large_corpus_distillation |
to this legislation, in terms of clarifying the presumption of innocence, the rather trivial enforcement of sample destruction (only 2.03% of samples are deleted annually) and requisite of a written warrant (99.6% of samples are obtained without a warrant), and there is still much debate about whether or not this legis... | large_corpus_distillation |
"Cantor's paradox-Statements and proofs-In order to state the paradox it is necessary to understand that the cardinal numbers are totally ordered, so that one can speak about one being greater or less than another. Then Cantor's paradox is: This fact is a direct consequence of Cantor's theorem on the cardinality of the... | large_corpus_distillation |
"Martingale central limit theorem-Martingale central limit theorem-In probability theory, the central limit theorem says that, under certain conditions, the sum of many independent identically-distributed random variables, when scaled appropriately, converges in distribution to a standard normal distribution. The marti... | large_corpus_distillation |
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