text stringlengths 5 1.02k | source stringclasses 1
value |
|---|---|
"Boltzmann machine-Problems-Unfortunately, Boltzmann machines experience a serious practical problem, namely that it seems to stop learning correctly when the machine is scaled up to anything larger than a trivial size. This is due to important effects, specifically: the required time order to collect equilibrium stati... | large_corpus_distillation |
"Computational social choice-Winner determination-The usefulness of a particular voting system can be severely limited if it takes a very long time to calculate the winner of an election. Therefore, it is important to design fast algorithms that can evaluate a voting rule when given ballots as input. As is common in co... | large_corpus_distillation |
"Query language-Types-Broadly, query languages can be classified according to whether they are database query languages or information retrieval query languages. The difference is that a database query language attempts to give factual answers to factual questions, while an information retrieval query language attempts... | large_corpus_distillation |
"Search engine indexing-Search engine indexing-Meta search engines reuse the indices of other services and do not store a local index whereas cache-based search engines permanently store the index along with the corpus. Unlike full-text indices, partial-text services restrict the depth indexed to reduce index size. Lar... | large_corpus_distillation |
Apps can also launch other apps in a snapped view to display content; for example, the Mail app can open a photo attachment in a picture viewer snapped to another half of the screen. Improved support is also provided by apps for using devices in a portrait (vertical) orientation. The lock screen offers the ability to u... | large_corpus_distillation |
"Wired Equivalent Privacy-Remedies-802.11i (WPA and WPA2) The recommended solution to WEP security problems is to switch to WPA2. WPA was an intermediate solution for hardware that could not support WPA2. Both WPA and WPA2 are much more secure than WEP. To add support for WPA or WPA2, some old Wi-Fi access points might... | large_corpus_distillation |
"IETF language tag-Syntax of language tags-Each language tag is composed of one or more \"subtags\" separated by hyphens (-). Each subtag is composed of basic Latin letters or digits only." | large_corpus_distillation |
"Standard of Good Practice for Information Security-Organization-The six aspects within the Standard are composed of a number of areas, each covering a specific topic. An area is broken down further into sections, each of which contains detailed specifications of information security best practice. Each statement has a... | large_corpus_distillation |
"Finite field arithmetic-Multiplicative inverse-The multiplicative inverse for an element a of a finite field can be calculated a number of different ways: By multiplying a by every number in the field until the product is one. This is a brute-force search.\nSince the nonzero elements of GF(pn) form a finite group with... | large_corpus_distillation |
(NASA) adopted MDP for reliable file transfers during space missions., and the U.S. Army used in for tactical group messaging in its Force Battle Command Brigade and Below (FBCB2) system.Several other approaches to reliable multicast were being developed at approximately the same time, and in April 1999, the IETF chart... | large_corpus_distillation |
"Probability axioms-Axioms-The assumptions as to setting up the axioms can be summarised as follows: Let (\u03a9,F,P) be a measure space with P(E) being the probability of some event E , and P(\u03a9)=1 . Then (\u03a9,F,P) is a probability space, with sample space \u03a9 , event space F and probability measure ... | large_corpus_distillation |
"Linear code-Examples-Some examples of linear codes include: " | large_corpus_distillation |
"Principal component analysis-Details-First component In order to maximize variance, the first weight vector w(1) thus has to satisfy arg max arg max \u2016w\u2016=1{\u2211i(x(i)\u22c5w)2} Equivalently, writing this in matrix form gives arg max arg max \u2016w\u2016=1{wTXTXw} Since w(1) has been defined to be a unit ve... | large_corpus_distillation |
"GSM-GSM security-GSM was intended to be a secure wireless system. It has considered the user authentication using a pre-shared key and challenge\u2013response, and over-the-air encryption. However, GSM is vulnerable to different types of attack, each of them aimed at a different part of the network.The development of ... | large_corpus_distillation |
"Durability (database systems)-Mechanisms-Distributed databases In distributed transactions, ensuring durability requires additional mechanisms to preserve a consistent state sequence across all database nodes. This means, for example, that a single node may not be enough to decide to conclude a transaction by committi... | large_corpus_distillation |
"Myers\u2013Briggs Type Indicator-Criticism-A second criticism is that the MBTI mistakenly assumes that personality falls into mutually exclusive categories. ... The consequence is that the scores of two people labelled \"introverted\" and \"extraverted\" may be almost exactly the same, but they could be placed into di... | large_corpus_distillation |
each classifier votes once for each label it predicts rather than for a single label." | large_corpus_distillation |
"HMAC-Details-Any cryptographic hash function, such as SHA-2 or SHA-3, may be used in the calculation of an HMAC; the resulting MAC algorithm is termed HMAC-X, where X is the hash function used (e.g. HMAC-SHA256 or HMAC-SHA3-512). The cryptographic strength of the HMAC depends upon the cryptographic strength of the und... | large_corpus_distillation |
is repeated for every layer. This requires very high-quality video recorders (such as both the Ampex VR-2000 or IVC's IVC-9000 of Scanimate's era, the IVC-9000 being used quite frequently for Scanimate composition due to its very high generational quality between re-recordings)." | large_corpus_distillation |
"Equivalent circuit-Equivalent circuit-In electrical engineering, an equivalent circuit refers to a theoretical circuit that retains all of the electrical characteristics of a given circuit. Often, an equivalent circuit is sought that simplifies calculation, and more broadly, that is a simplest form of a more complex c... | large_corpus_distillation |
"Exponentiation by squaring-Further applications-The same idea allows fast computation of large exponents modulo a number. Especially in cryptography, it is useful to compute powers in a ring of integers modulo q. It can also be used to compute integer powers in a group, using the rule Power(x, \u2212n) = (Power(x, n))... | large_corpus_distillation |
"Stochastic variance reduction-Accelerated approaches-Accelerated variance reduction methods are built upon the standard methods above. The earliest approaches make use of proximal operators to accelerate convergence, either approximately or exactly. Direct acceleration approaches have also been developed Catalyst acce... | large_corpus_distillation |
"Bivector-Derivation-It is symmetric, scalar-valued, and can be used to determine the angle between two vectors: in particular if a and b are orthogonal the product is zero." | large_corpus_distillation |
"X86-x86 registers-32-bit With the advent of the 32-bit 80386 processor, the 16-bit general-purpose registers, base registers, index registers, instruction pointer, and FLAGS register, but not the segment registers, were expanded to 32 bits. The nomenclature represented this by prefixing an \"E\" (for \"extended\") to ... | large_corpus_distillation |
"Evolvability (computer science)-General framework-Let F be a class of functions, R be a class of representations, and D a class of distributions on X . We say that F is evolvable by R over D if there exists polynomials p(\u22c5,\u22c5) , s(\u22c5,\u22c5) , t(\u22c5,\u22c5) , and g(\u22c5,\u22c5) such that f... | large_corpus_distillation |
code integrity (HVCI) can now be enabled across the Windows 10 ecosystem. These Exploit Guard features can now be enabled through the Windows Defender Security Center.\nWindows Defender Advanced Threat Protection (ATP): Has been enhanced with many new capabilities.\nWindows Defender Application Guard: Added support for... | large_corpus_distillation |
\u0393(k) (1\u2212t)k\n0\nThe General Gamma Distribution\nThe gamma distribution is usually generalized by adding a scale parameter.\nZ k\u2208(0,\u221e) b\u2208(0,\u221e) X=bZ\nIf has the standard gamma distribution with shape parameter and if , then has the gamma\nk b\ndistribution with shape parameter and scale para... | large_corpus_distillation |
a point lies off or on a line or plane defined by other points can be performed using adaptive precision or exact arithmetic methods.Small errors in floating-point arithmetic can grow when mathematical algorithms perform operations an enormous number of times. A few examples are matrix inversion, eigenvector computatio... | large_corpus_distillation |
"Reset vector-Examples-Below is a list of typically used addresses by different microprocessors: x86 family (Intel) The reset vector for the Intel 8086 processor is at physical address FFFF0h (16 bytes below 1 MB). The value of the CS register at reset is FFFFh and the value of the IP register at reset is 0000h to form... | large_corpus_distillation |
"Erase\u2013remove idiom-C++20-As of C++20, the free functions std::erase and std::erase_if are provided for STL containers. These convenience functions can be used to perform correct erasure of elements without requiring the programmer to explicitly use the erase-remove idiom." | large_corpus_distillation |
"Actor model-Message-passing semantics-Inherently concurrent As opposed to the previous approach based on composing sequential processes, the actor model was developed as an inherently concurrent model. In the actor model sequentiality was a special case that derived from concurrent computation as explained in actor mo... | large_corpus_distillation |
"Bedroom-Modern bedrooms-Many houses in North America have at least two bedrooms\u2014usually a master bedroom and one or more bedrooms for either children or guests.\nIn some jurisdictions there are basic features (such as a closet and a \"means of egress\") that a room must have in order to legally qualify as a bedro... | large_corpus_distillation |
"Package-merge algorithm-The coin collector's problem-Suppose a coin collector has a number of coins of various denominations, each of which has a numismatic value unrelated to its denomination. The coin collector has run out of money and needs to use some of his coin collection to buy something of cost N. He wishes to... | large_corpus_distillation |
"Wormhole switching-Mechanism principle-One thing special about wormhole flow control is the implementation of virtual channels: A virtual channel holds the state needed to coordinate the handling of the flits of a packet over a channel. At a minimum, this state identifies the output channel of the current node for the... | large_corpus_distillation |
"Equation-Algebra-Algebra studies two main families of equations: polynomial equations and, among them, the special case of linear equations. When there is only one variable, polynomial equations have the form P(x) = 0, where P is a polynomial, and linear equations have the form ax + b = 0, where a and b are parameters... | large_corpus_distillation |
"Syntax (logic)-Syntactic entities-Interpretations An interpretation of a formal system is the assignment of meanings to the symbols, and truth values to the sentences of a formal system. The study of interpretations is called formal semantics. Giving an interpretation is synonymous with constructing a model. An interp... | large_corpus_distillation |
"Clustering high-dimensional data-Approaches-Hybrid approaches Not all algorithms try to either find a unique cluster assignment for each point or all clusters in all subspaces; many settle for a result in between, where a number of possibly overlapping, but not necessarily exhaustive set of clusters are found. An exam... | large_corpus_distillation |
"SM4 (cipher)-Cipher detail-Round Each round are computed from the four previous round outputs Xi,Xi+1,Xi+2,Xi+3 such that: Xi+4=Xi\u2295F(Xi+1\u2295Xi+2\u2295Xi+3\u2295rki) Where F is a substitution function composed of a non-linear transform, the S-box and linear transform L S-box S-box is fixed for 8-bit input an... | large_corpus_distillation |
"Process Contention Scope-Types of PCS scheduling-There are four means of causing an active thread (say, T1) to context switch. Three of them require that the programmer has written code. These methods are largely identical across all of the libraries.\nSynchronization. By far the most common means of being context swi... | large_corpus_distillation |
"Midas List-Midas List-The Forbes Midas list is the annual ranking by Forbes magazine of the most influential and best-performing venture capital investors. Described by Kara Swisher as the \"Oscars for venture capitalists in tech,\" the Midas List uses parameters that include the first-day market capitalization of IPO... | large_corpus_distillation |
), and when assuming the probability of each element is very small, then: Var pwr (known N))=1N2\u2211i=1n(wiyi)2 Variance of the weighted mean (\u03c0-estimator for ratio-mean) The previous section dealt with estimating the population mean as a ratio of an estimated population total ( Y^ ) with a known population siz... | large_corpus_distillation |
"Stochastic approximation-Robbins\u2013Monro algorithm-Here are some intuitive explanations about these conditions. Suppose H(\u03b8n,Xn+1) is a uniformly bounded random variables. If C2) is not satisfied, i.e. \u2211n=0\u221e\u03b5n<\u221e , thenis a bounded sequence, so the iteration cannot converge to \u03b8\u221... | large_corpus_distillation |
as a single partition. For this query, the average salary reported would be the average taken over all rows." | large_corpus_distillation |
"Process management (computing)-Multiprogramming-There are two possible ways for an OS to regain control of the processor during a program\u2019s execution in order for the OS to perform de-allocation or allocation: The process issues a system call (sometimes called a software interrupt); for example, an I/O request oc... | large_corpus_distillation |
"Block cipher mode of operation-Common modes-Output feedback (OFB) The output feedback (OFB) mode makes a block cipher into a synchronous stream cipher. It generates keystream blocks, which are then XORed with the plaintext blocks to get the ciphertext. Just as with other stream ciphers, flipping a bit in the ciphertex... | large_corpus_distillation |
"Word-sense induction-Software-SenseClusters is a freely available open source software package that performs both context clustering and word clustering." | large_corpus_distillation |
"Economy class-Railways-Economy class also exists on some sleeper services, most notably on most Russian Railways routes, which designates the class as \"Platzkart\", with cars featuring an open 9-bay layout, where each bay has six bunk beds in two tiers \u2013 four transversally, and two longitudinally on the opposing... | large_corpus_distillation |
kNN, C4.5 and SVM-RBF Kernel. This set achieves better performance than each basic classifier taken separately. It is compared with two other sets of classifiers: one-against-all (OAA) multiclass SVM with Hybrid kernels and the set of classifiers which consists of the following two basic classifiers: C5.0 and Neural Ne... | large_corpus_distillation |
Unauthorized release of sensitive information; Personal safety; and/or civil or criminal violations." | large_corpus_distillation |
Exercise 9.1.3\nLet S\u2286R.\na. Prove that\n(S\u2032)\u2032\u2286S\u2032\n.\nb. Give an example where these two sets are equal.\nc. Give an example where these two sets are not equal.\nThe notion of the derived set forms the foundation of Cantor\u2019s exceptional set of values. Specifically, let S again be a set of ... | large_corpus_distillation |
and a low rate of discordant assignments across permuted clustering runs. One can therefore infer the optimal number of clusters by the K value having the lowest PAC." | large_corpus_distillation |
seen as a security liability. All versions of OS/400 (later IBM i) since rely solely on unauthorized pointers which do not support capability-based addressing." | large_corpus_distillation |
the domain is the set of values x for which 4\u22123x\u22650.\nTherefore, the domain is {x|x\u22644/3}.\nd. The cube root is defined for all real numbers, so the domain is the interval (\u2212\u221e,\u221e).\n\uf128 Exercise 1.2.4\n\u2212\u2212\u2212\u2212\u2212\nFind the domain for each of the following functions: f(x... | large_corpus_distillation |
the reference class or extension. Concepts that can be equated to a single word are called \"lexical concepts\".The study of concepts and conceptual structure falls into the disciplines of linguistics, philosophy, psychology, and cognitive science.In the simplest terms, a concept is a name or label that regards or trea... | large_corpus_distillation |
more accurate than if estimated from the positive predictive value of the test, if the tested individual has a different pre-test probability than what is the prevalence of that condition in the population." | large_corpus_distillation |
"Boomerang attack-Boomerang attack-In cryptography, the boomerang attack is a method for the cryptanalysis of block ciphers based on differential cryptanalysis. The attack was published in 1999 by David Wagner, who used it to break the COCONUT98 cipher.\nThe boomerang attack has allowed new avenues of attack for many c... | large_corpus_distillation |
the new mean value is computed as mk+1=\u2211i=1\u03bcwixi:\u03bb=mk+\u2211i=1\u03bcwi(xi:\u03bb\u2212mk) where the positive (recombination) weights w1\u2265w2\u2265\u22ef\u2265w\u03bc>0 sum to one. Typically, \u03bc\u2264\u03bb/2 and the weights are chosen such that := 1/\u2211i=1\u03bcwi2\u2248\u03bb/4 . The only ... | large_corpus_distillation |
than the more common RFC 4648 base64 The PHC subset covers a majority of MCF hashes. A number of extra application-defined methods exist." | large_corpus_distillation |
"Bertrand's ballot theorem-Example-Of the 10 possible orders, A is always ahead of B only for AAABB and AABAB. So the probability that A will always be strictly ahead is 10 =15, and this is indeed equal to 3\u221223+2 as the theorem predicts." | large_corpus_distillation |
"Bluesnarfing-Prevalence-Attacks on wireless systems have increased along with the popularity of wireless networks. Attackers often search for rogue access points, or unauthorized wireless devices installed in an organization's network and allow an attacker to circumvent network security. Rogue access points and unsecu... | large_corpus_distillation |
"Andrea Liu-Research contributions-According to Google Scholar, Liu's publications have received over 17,000 citations and her h-index is 63." | large_corpus_distillation |
128, the value is used directly. If the value is 128 or more, it is interpreted as an exponent and mantissa." | large_corpus_distillation |
"Japanese verb conjugation-Japanese verb conjugation-Japanese verbs, like the verbs of many other languages, can be phonetically modified to change their purpose, nuance or meaning \u2013 a process known as conjugation. In Japanese, the beginning of a word (the stem) is preserved during conjugation, whilst the ending o... | large_corpus_distillation |
"Singular value decomposition-Intuitive interpretations-Rotation, coordinate scaling, and reflection In the special case when M is an m \u00d7 m real square matrix, the matrices U and V\u204e can be chosen to be real m \u00d7 m matrices too. In that case, \"unitary\" is the same as \"orthogonal\". Then, interpreting bo... | large_corpus_distillation |
"Getaddrinfo-Security-On February 16, 2016, a security bug was announced in the glibc implementation of getaddrinfo(), using a buffer overflow technique, that may allow execution of arbitrary code by the attacker." | large_corpus_distillation |
"Tversky index-Tversky index-If we consider X to be the prototype and Y to be the variant, then \u03b1 corresponds to the weight of the prototype and \u03b2 corresponds to the weight of the variant. Tversky measures with \u03b1+\u03b2=1 are of special interest.Because of the inherent asymmetry, the Tversky index doe... | large_corpus_distillation |
"PublicStuff-Use-Submitting a request PublicStuff routes location-tagged photographs, written descriptions, and telephone-reported issues to relevant municipal departments and then relays status and outcome back to the user who filed the request. Users can monitor issue status and add comments to request additional inf... | large_corpus_distillation |
"Geometry of binary search trees-Greedy algorithm-The following greedy algorithm constructs arborally satisfiable sets: Sweep the point set with a horizontal line by increasing y coordinate.\nAt time i, place the minimal number of points at y=i to make the point set up to y\u2265i arborally satisfied. This minimal se... | large_corpus_distillation |
"Reliability (statistics)-General model-Errors of measurement are composed of both random error and systematic error. It represents the discrepancies between scores obtained on tests and the corresponding true scores.\nThis conceptual breakdown is typically represented by the simple equation: Observed test score = true... | large_corpus_distillation |
"PSPACE-complete-Examples-Logic A standard PSPACE-complete problem, used in many other PSPACE-completeness results, is the quantified Boolean formula problem, a generalization of the Boolean satisfiability problem. The quantified Boolean formula problem takes as input a Boolean expression, with all of its variables qua... | large_corpus_distillation |
"Grouping Symbols\nParentheses ()\nBrackets []\nBraces {}\nExponential Notation\nan means the product of n factors of a. The expression an is read a to the nth power.\nOrder of Operations: When simplifying mathematical expressions perform the operations in the following order:\n1. Parentheses and other Grouping Symbols... | large_corpus_distillation |
"Compatible Time-Sharing System-Implementation-Kernel CTSS used a modified IBM 7090 mainframe computer that had two 32,768 (32K) 36-bit-word banks of core memory instead of the default configuration which provides only one. One bank was reserved for the time-sharing supervisory program, the other for user programs. CTS... | large_corpus_distillation |
state at any time is\nindependent of departures before that time.\nBranching processes were introduced in Section 5.5 as a model to study the growth of various kinds of elements that reproduce. In\ngeneral, for these models (assuming p 0 >0), there is one trapping state and all other states are transient. Figure 5.7 sh... | large_corpus_distillation |
"Bin covering problem-Polynomial-time approximation schemes-Csirik, Johnson and Kenyon present an asymptotic PTAS. It is an algorithm that, for every \u03b5>0, fills at least (1\u22125\u03b5)\u22c5OPT(I)\u22124 bins if the sum of all items is more than 13 B/\u03f53 , and at least (1\u22122\u03b5)\u22c5OPT(I)\u22121 ... | large_corpus_distillation |
"Continuous deployment-Motivation-A major motivation for continuous deployment is that deploying software into the field more often makes it easier to find, catch, and fix bugs. A bug is easier to fix when it comes from code deployed five minutes ago instead of five days ago." | large_corpus_distillation |
"In-kernel web server-Drawbacks-Security: Kernel processes run with unlimited privileges.\nPortability. Every kernel needs a specific implementation route.\nReliability. Failure in the webserver may crash the OS." | large_corpus_distillation |
"Dynamic Language Runtime-Dynamic Language Runtime-Because the dynamic language implementations share a common underlying system, it should be easier for them to interact with one another. For example, it should be possible to use libraries from any dynamic language in any other dynamic language. In addition, the hosti... | large_corpus_distillation |
with small cubicle rooms. In addition to banning or restricting SRO hotels, land use reformers also passed zoning rules that indirectly reduced SROs: banning mixed residential and commercial use in neighbourhoods, an approach which meant that any remaining SRO hotel's residents would find it hard to eat at a local cafe... | large_corpus_distillation |
"Vertex cover in hypergraphs-Minimal transversals-A vertex-cover (transversal) T is called minimal if no proper subset of T is a transversal. The transversal hypergraph of H is the hypergraph (X, F) whose hyperedge set F consists of all minimal-transversals of H.\nComputing the transversal hypergraph has applications ... | large_corpus_distillation |
"Enumerated type-Syntax in several programming languages-Swift In C, enumerations assign related names to a set of integer values. In Swift, enumerations are much more flexible and need not provide a value for each case of the enumeration. If a value (termed a raw value) is provided for each enumeration case, the value... | large_corpus_distillation |
"Anonymous recursion-Anonymous recursion-In theoretical computer science, anonymous recursion is important, as it shows that one can implement recursion without requiring named functions. This is particularly important for the lambda calculus, which has anonymous unary functions, but is able to compute any recursive fu... | large_corpus_distillation |
"Macintosh clone-Macintosh conversion-Unlike Mac clones that contain little or no original Apple hardware, a Mac conversion is an aftermarket enclosure kit that requires the core components of a previously purchased, genuine Apple Mac computer, such as the Macintosh ROM or the motherboard, in order to become a function... | large_corpus_distillation |
"Disaggregated storage-Background-Conventional storage networking does not provide sufficient throughput or latency minimization needed by many applications, and fails to provide enough bandwidth to utilize the full performance of new flash technologies." | large_corpus_distillation |
"Stokes flow-Incompressible flow of Newtonian fluids-Cartesian coordinates With the velocity vector expanded as u=(u,v,w) and similarly the body force vector f=(fx,fy,fz) , we may write the vector equation explicitly, \u03bc(\u22022u\u2202x2+\u22022u\u2202y2+\u22022u\u2202z2)\u2212\u2202p\u2202x+fx=0\u03bc(\u22022v\u... | large_corpus_distillation |
"Maximum entropy probability distribution-Distributions with measured constants-Caveats Note that not all classes of distributions contain a maximum entropy distribution. It is possible that a class contain distributions of arbitrarily large entropy (e.g. the class of all continuous distributions on R with mean 0 but a... | large_corpus_distillation |
(0,1/n,0) to the points (0,1/n,1) so that the function yields a permutation on endpoints\u2014is isomorphic to this wilder group. An interesting fact is that the pure braid group in this group is isomorphic to both the inverse limit of finite pure braid groups Pn and to the fundamental group of the Hilbert cube minus... | large_corpus_distillation |
function, and relation has its natural hyperreal extension, satisfying the same first-order properties. The kinds of logical sentences that obey this restriction on quantification are referred to as statements in first-order logic." | large_corpus_distillation |
"Kernel function for solving integral equation of surface radiation exchanges-Kernel equation for 2-D and axisymmetric geometry-The final expression for the kernel function is where " | large_corpus_distillation |
require continuing from 6 on the right hand). Different strategies may have very different characteristics in terms of their time and space complexity, memory requirements, etc., and therefore in terms of their error characteristics." | large_corpus_distillation |
"Finite field-Explicit construction-In the third table, for the division of x by y, the values of x must be read in the left column, and the values of y in the top row. (Because 0 \u22c5 z = 0 for every z in every ring the division by 0 has to remain undefined.) From the tables, it can be see that the additive structur... | large_corpus_distillation |
"Eckmann\u2013Hilton argument-The Eckmann\u2013Hilton result-Let X be a set equipped with two binary operations, which we will write \u2218 and \u2297 , and suppose: \u2218 and \u2297 are both unital, meaning that there are identity elements 1\u2218 and 1\u2297 of X such that 1\u2218\u2218a=a=a\u22181\u2218 and... | large_corpus_distillation |
"Glossary of ring theory-T-tensor The tensor product algebra of associative algebras is the tensor product of the algebras as the modules with component multiplication The tensor algebra of a vector space or a module V is the direct sum of all tensor powers V\u2297n with the multiplication given by tensor product.\ntr... | large_corpus_distillation |
"Granular computing-Types of granulation-Component granulation Another perspective on concept granulation may be obtained from work on parametric models of categories. In mixture model learning, for example, a set of data is explained as a mixture of distinct Gaussian (or other) distributions. Thus, a large amount of d... | large_corpus_distillation |
"Visual Turing Test-Current evaluation practices-A large number of datasets have been annotated and generalised to benchmark performances of difference classes of algorithms to assess different vision tasks (e.g., object detection/recognition) on some image domain (e.g., scene images)." | large_corpus_distillation |
"Calling convention-Architectures-For all of O32 and N32/N64, the return address is stored in a $ra register. This is automatically set with the use of the JAL (jump and link) or JALR (jump and link register) instructions. The stack grows downwards." | large_corpus_distillation |
"Closure operator-Closed sets-Given a finitary closure operator on a set, the closures of finite sets are exactly the compact elements of the set C of closed sets. It follows that C is an algebraic poset.\nSince C is also a lattice, it is often referred to as an algebraic lattice in this context. Conversely, if C is an... | large_corpus_distillation |
"the information that we may ever hopeto get, namely we know the regression function \u03b7(\u00b7).\nFor a given X to classify, if \u03b7(X) = 1/2 we may just toss a coin to decide our prediction\nand discard X since it contains no information about Y. However, if \u03b7(X) =6 1/2, we have\nan edge over random guessin... | large_corpus_distillation |
"Free product-Generalization: Free product with amalgamation-The more general construction of free product with amalgamation is correspondingly a special kind of pushout in the same category. Suppose G and H are given as before, along with monomorphisms (i.e. injective group homomorphisms): \u03c6:F\u2192G and \u03c... | large_corpus_distillation |
"Operating system-Components-Supervisor mode is used by the kernel for low level tasks that need unrestricted access to hardware, such as controlling how memory is accessed, and communicating with devices such as disk drives and video display devices. User mode, in contrast, is used for almost everything else. Applicat... | large_corpus_distillation |
"Service module-Design-Thermal control systems for proper heating and cooling of above systems.While this would be used for a \"baseline\" service module, a service module may also be modified for additional functions. An example would be the equipment module on Gemini 9, when it was modified to carry the U.S. Air Forc... | large_corpus_distillation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.