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"Haskell features-Concurrency-Recently, Concurrent Haskell has been extended with support for software transactional memory (STM), which is a concurrency abstraction in which compound operations on shared data are performed atomically, as transactions. GHC's STM implementation is the only STM implementation to date to ... | large_corpus_distillation |
"IEEE 754-Recommendations-The recommended operations also include setting and accessing dynamic mode rounding direction, and implementation-defined vector reduction operations such as sum, scaled product, and dot product, whose accuracy is unspecified by the standard." | large_corpus_distillation |
"Chief information officer (higher education)-Chief information officer (higher education)-Some traditional executive and administrative positions in higher education, such as a chief financial officer position or chief academic officer/provost have been in existence for a long time and typically have a definite career... | large_corpus_distillation |
"Oracle Application Express-Security-APEX applications inherently use PL/SQL constructs as the base server-side language. As well as accessing data via PL/SQL blocks, an APEX application will use PL/SQL to implement authorization, and to conditionally display web page elements. This means that generally APEX applicatio... | large_corpus_distillation |
"Push Proxy Gateway-Technical specifications-An example of a Service Indication: PPG delivery to mobile station Once a push message is received from the Push Initiator, the PPG has two avenues for delivery. If the IP address of the Mobile Station is known to the PPG, the PPG can deliver directly to the mobile station o... | large_corpus_distillation |
"Memory management controller-Memory management controller-In the emulation community these chips are also known as mappers." | large_corpus_distillation |
A\u2192((B\u2192A)\u2192A) (instance of (A1)) (A\u2192((B\u2192A)\u2192A))\u2192((A\u2192(B\u2192A))\u2192(A\u2192A)) (instance of (A2)) (A\u2192(B\u2192A))\u2192(A\u2192A) (from (1) and (2) by modus ponens) A\u2192(B\u2192A) (instance of (A1)) A\u2192A (from (4) and (3) by modus ponens) " | large_corpus_distillation |
"Graph cuts in computer vision-Algorithm-Minimization is done using a standard minimum cut algorithm.\nDue to the max-flow min-cut theorem we can solve energy minimization by maximizing the flow over the network. The max-flow problem consists of a directed graph with edges labeled with capacities, and there are two dis... | large_corpus_distillation |
"SMS-SMS-Short Message/Messaging Service, commonly abbreviated as SMS, is a text messaging service component of most telephone, Internet and mobile device systems. It uses standardized communication protocols that let mobile devices exchange short text messages. An intermediary service can facilitate a text-to-voice co... | large_corpus_distillation |
"Short code-Regional differences-Bangladesh Codes are five digits in length. Bangladesh Telecommunication Regulatory Commission (BTRC) issues and controls short codes in Bangladesh.\nBelgium Codes are four digits in length.\nBotswana Codes are three digits in length.\nBrazil Codes are five digits in length.\nCambodia S... | large_corpus_distillation |
"Statistical parsing-Statistical parsing-Statistical parsing is a group of parsing methods within natural language processing. The methods have in common that they associate grammar rules with a probability. Grammar rules are traditionally viewed in computational linguistics as defining the valid sentences in a languag... | large_corpus_distillation |
"Tf\u2013idf-Justification of idf-This probabilistic interpretation in turn takes the same form as that of self-information. However, applying such information-theoretic notions to problems in information retrieval leads to problems when trying to define the appropriate event spaces for the required probability distrib... | large_corpus_distillation |
equation Ax = b has exactly one solution for each b in Kn.\nThe columns of A are linearly independent.\nThe rows of A are linearly independent.\nThe columns of A span Kn.\nThe rows of A span Kn.\nThe columns of A form a basis of Kn.\nThe rows of A form a basis of Kn." | large_corpus_distillation |
"F={F :t\u2208T} (\u03a9,F) F =\u03c3(\u22c3{F :t\u2208T})\nFor a filtration t on , define \u221e t . Then\nF =\u03c3(\u22c3{F :t\u2208T,t\u2265s}) s\u2208T\n1. \u221e t for .\nF \u2286F t\u2208T\n2. t \u221e for .\nProof\n\u03c3\nThese results follows since the -algebras in a filtration are increasing in time.\nF =F \... | large_corpus_distillation |
run multiple experiments at once, gather results from experiments in the form of data, terminate the ineffective experiments and nurture the ones that work, all through the use of data-based software systems. The more experiments they can run and the quicker the turnaround times of results, the better their effectivene... | large_corpus_distillation |
"Knowledge graph embedding-Models-fr(h,t)=\u03b4(\u03c4(h,r),t) Geometric models are similar to the tensor decomposition model, but the main difference between the two is that they have to preserve the applicability of the transformation \u03c4 in the geometric space in which it is defined." | large_corpus_distillation |
"Quadratic variation-Martingales-This result holds whenever M is a c\u00e0dl\u00e0g square integrable martingale and H is a bounded predictable process, and is often used in the construction of the It\u00f4 integral.\nAnother important result is the Burkholder\u2013Davis\u2013Gundy inequality. This gives bounds for t... | large_corpus_distillation |
failures, and usually systems are corrected after analysis of such failures." | large_corpus_distillation |
"Exception handling-Definition-The definition of an exception is based on the observation that each procedure has a precondition, a set of circumstances for which it will terminate \"normally\". An exception handling mechanism allows the procedure to raise an exception if this precondition is violated, for example if t... | large_corpus_distillation |
depends not only on the data but on additional random choices. Averaging the ranks over the possible random choices results in the average rank procedure. One could also report the probability of rejection over all random choices. Random tiebreaking has the advantage that the probability that a sample is judged signifi... | large_corpus_distillation |
"Hotelling's T-squared distribution-Two-sample statistic-A univariate special case can be found in Welch's t-test.\nMore robust and powerful tests than Hotelling's two-sample test have been proposed in the literature, see for example the interpoint distance based tests which can be applied also when the number of varia... | large_corpus_distillation |
"Mobile payment-Carrier billing-The consumer uses the mobile billing option during checkout at an e-commerce site\u2014such as an online gaming site\u2014to make a payment. After two-factor authentication involving the consumer's mobile number and a PIN or one-time password (often abbreviated as OTP), the consumer's mo... | large_corpus_distillation |
"Calling convention-Calling conventions outside machine architectures-Threaded code Threaded code places all the responsibility for setting up for and cleaning up after a function call on the called code. The calling code does nothing but list the subroutines to be called. This puts all the function setup and clean-up ... | large_corpus_distillation |
"Pointer (computer programming)-Making pointers safer-The Rust programming language introduces a borrow checker, pointer lifetimes, and an optimisation based around optional types for null pointers to eliminate pointer bugs, without resorting to garbage collection." | large_corpus_distillation |
Y =\u2211n X\nNow let denote the number of type 1 objects in the sample. Note that i=1 i. Any counting variable can be written as a\nsum of indicator variables.\nY g\nhas probability density function given by.\n(r)(m\u2212r)\ny n\u2212y\ng(y)= , y\u2208{0,1,\u2026,n} (3.1.18)\n(m)\nn\ng(y\u22121)<g(y) y<t t=(r+1)(n+1)/... | large_corpus_distillation |
"Lempel\u2013Ziv\u2013Storer\u2013Szymanski-Example-Here is the beginning of Dr. Seuss's Green Eggs and Ham, with character numbers at the beginning of lines for convenience. Green Eggs and Ham is a good example to illustrate LZSS compression because the book itself only contains 50 unique words, despite having a word ... | large_corpus_distillation |
"Floating-point unit-History-In most modern computer architectures, there is some division of floating-point operations from integer operations. This division varies significantly by architecture; some have dedicated floating-point registers, while some, like Intel x86, take it as far as independent clocking schemes.CO... | large_corpus_distillation |
an initial state in a state machine, a fail-fast system will check such state and fail fast." | large_corpus_distillation |
"Round-off error-Round-off error-When a sequence of calculations with an input involving any roundoff error are made, errors may accumulate, sometimes dominating the calculation. In ill-conditioned problems, significant error may accumulate.In short, there are two major facets of roundoff errors involved in numerical c... | large_corpus_distillation |
"Binomial heap-Binomial heap-A binomial heap is implemented as a set of binomial trees (compare with a binary heap, which has a shape of a single binary tree), which are defined recursively as follows: A binomial tree of order 0 is a single node A binomial tree of order k has a root node whose children are roots of bi... | large_corpus_distillation |
"Convex hull algorithms-Planar case-If not all points are on the same line, then their convex hull is a convex polygon whose vertices are some of the points in the input set. Its most common representation is the list of its vertices ordered along its boundary clockwise or counterclockwise. In some applications it is c... | large_corpus_distillation |
"Action semantics-Action notation-Regular English words serve as the symbols of action notation. Action notation is designed to simulate natural language, which is illustrated in the parts of speech used to denote semantic entities. Action entities are represented by verb phrases and data and yielder entities by noun p... | large_corpus_distillation |
"History of general-purpose CPUs-1990 to today: Looking forward-Relative to clocked logic, it may be easier to implement high performance devices in asynchronous logic: In a clocked CPU, no component can run faster than the clock rate. In a clockless CPU, components can run at different speeds." | large_corpus_distillation |
as a curve, an animal with an EQ above the curve is expected to show more cognitive ability than the average animal of its size, whereas an animal with an EQ below the curve is expected to have less. Various formulas been suggested, but the equation Ew(brain) = 0.12w(body)2/3 has been found to fit data from a sample of... | large_corpus_distillation |
"1.8: Combinatorial Structures\nThe purpose of this section is to study several combinatorial structures that are of basic importance in probability.\nPermutations\nD n\u2208N k\u2208{0,1,\u2026,n} D k\nSuppose that is a set with elements. A permutation of length from is an ordered sequence of\nD (x ,x ,\u2026,x ) x \u... | large_corpus_distillation |
"IA-32 Execution Layer-IA-32 Execution Layer-The IA-32 Execution Layer (IA-32 EL) is a software emulator in the form of a software driver that improves performance of 32-bit applications running on 64-bit Intel Itanium-based systems, particularly those running Linux and Windows Server 2003 (it is included in Windows Se... | large_corpus_distillation |
"Controlled language in machine translation-Sources-AMORES CARREDANO, Jose Javier. Automatic translation systems[on line]. Available in: http://quark.prbb.org/19/019046.htm [Date of view: 29 May 2011] AECMA: AECMA Simplified English: A Guide for the Preparation of Aircraft Maintenance Documentation in the International... | large_corpus_distillation |
group with addition modulo 6: G={0,1,2,3,4,5} . Consider the subgroup N={0,3} , which is normal because G is abelian. Then the set of (left) cosets is of size three: G/N={a+N:a\u2208G}={{0,3},{1,4},{2,5}}={0+N,1+N,2+N} .The binary operation defined above makes this set into a group, known as the quotient group, whic... | large_corpus_distillation |
"Cipher security summary-Common ciphers-Key or plaintext recovery attacks Attacks that lead to disclosure of the key or plaintext.\nDistinguishing attacks Attacks that allow distinguishing ciphertext from random data." | large_corpus_distillation |
"Set packing-Related problems-Karp originally showed set packing NP-complete via a reduction from the clique problem." | large_corpus_distillation |
"Inverse Galois problem-A simple example: cyclic groups-It is possible, using classical results, to construct explicitly a polynomial whose Galois group over Q is the cyclic group Z/nZ for any positive integer n. To do this, choose a prime p such that p \u2261 1 (mod n); this is possible by Dirichlet's theorem. Let Q(... | large_corpus_distillation |
"151 (number)-In mathematics-151 is the 36th prime number, the previous is 149, with which it comprises a twin prime. 151 is also a palindromic prime, a centered decagonal number, and a lucky number.151 appears in the Padovan sequence, preceded by the terms 65, 86, 114; it is the sum of the first two of these.151 is a ... | large_corpus_distillation |
"Random number generation-Random number generation-Various applications of randomness have led to the development of different methods for generating random data. Some of these have existed since ancient times, including well-known examples like the rolling of dice, coin flipping, the shuffling of playing cards, the us... | large_corpus_distillation |
"Glitching-Overview-Another common type of glitch is item manipulation, where a player can manipulate their inventory to get certain items. This can also be expanded to changing the player's health, magic power, inventory capacity, quest status, item durability, and so on. These manipulations are often not limited by t... | large_corpus_distillation |
"Software documentation-Requirements documentation-Traditionally, requirements are specified in requirements documents (e.g. using word processing applications and spreadsheet applications). To manage the increased complexity and changing nature of requirements documentation (and software documentation in general), dat... | large_corpus_distillation |
can be used to exchange quantum states along a one-way quantum channel with perfect secrecy, which is sometimes used in quantum computing. It can be shown that a shared secret of at least 2n classical bits is required to exchange an n-qubit quantum state along a one-way quantum channel (by analogue with the result that... | large_corpus_distillation |
"Vector logic-Overview-Negation: A logical negation \u00acp is represented by matrix N=nsT+snT Consequently, Ns = n and Nn = s. The involutory behavior of the logical negation, namely that \u00ac(\u00acp) equals p, corresponds with the fact that N2 = I.\nDyadic operators The 16 two-valued dyadic operators correspond t... | large_corpus_distillation |
"Music information retrieval-Applications-Music generation The automatic generation of music is a goal held by many MIR researchers. Attempts have been made with limited success in terms of human appreciation of the results." | large_corpus_distillation |
"Fermat's factorization method-Sieve improvement-When considering the table for 2345678917 , one can quickly tell that none of the values of b2 are squares: It is not necessary to compute all the square-roots of a2\u2212N , nor even examine all the values for a. Squares are always congruent to 0, 1, 4, 5, 9, 16 modu... | large_corpus_distillation |
"Mental calculation-Methods and techniques-1 2 3 4 5 6 7 8 9 10 | | | | | | | | | | left hand right hand Bend the finger which represents the number to be multiplied by nine down.\nEx: 6 \u00d7 9 would be | | | | | \u2212 | | | | The right little finger is down. Take the number of fingers still raised to the left of th... | large_corpus_distillation |
"4.10: Conditional Expected Value Revisited\nConditional expected value is much more important than one might at first think. In fact, conditional expected value is at the core of modern probability theory because it\nprovides the basic way of incorporating known information into a probability measure.\nBasic Theory\nD... | large_corpus_distillation |
privacy and confidentiality are required. Another way to achieve confidentiality is to use a hardwired amplifier, which contains or is connected to a microphone and transmits no signal beyond the earpiece plugged directly into it." | large_corpus_distillation |
gives the most likely target macrostate.\". The physically defined second entropy can also be considered from an informational viewpoint." | large_corpus_distillation |
and similar amenities also cost extra. Parking space(s), air conditioning, and extra storage space may or may not be included with an apartment. Rental leases often limit the maximum number of residents in each apartment.On or around the ground floor of the apartment building, a series of mailboxes are typically kept i... | large_corpus_distillation |
"Open-source software security-Metrics and models-Coverity scan Coverity in collaboration with Stanford University has established a new baseline for open-source quality and security. The development is being completed through a contract with the Department of Homeland Security. They are utilizing innovations in automa... | large_corpus_distillation |
"Artificial neural network-Theoretical properties-Generalization and statistics Applications whose goal is to create a system that generalizes well to unseen examples, face the possibility of over-training. This arises in convoluted or over-specified systems when the network capacity significantly exceeds the needed fr... | large_corpus_distillation |
the permanent and the hafnian are related as per haf \u2061(AAT) .If A is a Hermitian positive semi-definite n\u00d7n matrix and B is a complex symmetric n\u00d7n matrix, then we have the inequality haf \u2061(BAA\u00afB\u00af)\u22650, where A\u00af denotes the complex conjugate of A . A simple way to see this w... | large_corpus_distillation |
"Main path analysis-The method-Search path count (SPC) A link\u2019s SPC is the number of times the link is traversed if one runs through all possible paths from all the sources to all the sinks. SPC is first proposed by Vladimir Batagelj. SPC values for each link in a sample citation network is shown in Figure 1. The ... | large_corpus_distillation |
"Information cascade-Examples and fields of application-As a part of this cascade-driven reorganization process, information cascades can also create assortative social networks, where people tend to be connected to others who are similar in some characteristic. Tweet cascades increase in the similarity between connect... | large_corpus_distillation |
"Smoothsort-Overview-In addition to each stretch being a heap-ordered tree, the roots of the trees are maintained in sorted order. This effectively adds a third child (which Dijkstra calls a \"stepson\") to each root linking it to the preceding root. This combines all of the trees together into one global heap. with th... | large_corpus_distillation |
"Learning log-Use and Scope-The process of using learning logs involves developing thinking and learning skills, which are enhanced by a peer partnership system. In this peer system, the children are encouraged to discuss and share their thoughts, as well as to develop their learning logs in a collaborative way. Learni... | large_corpus_distillation |
"Computer file-File contents-On most modern operating systems, files are organized into one-dimensional arrays of bytes. The format of a file is defined by its content since a file is solely a container for data. On some platforms the format is indicated by its filename extension, specifying the rules for how the byte... | large_corpus_distillation |
"Trusted Computer System Evaluation Criteria-Fundamental objectives and requirements-Marking \u2013 Systems designed to enforce a mandatory security policy must store and preserve the integrity of access control labels and retain the labels if the object is exported.\nDiscretionary Security Policy \u2013 Enforces a con... | large_corpus_distillation |
support for System V Release 4 compatibility, R6000 processor support and later symmetric multiprocessing support on the R4400 and R6000 processors." | large_corpus_distillation |
"Knowledge engineering-Knowledge engineering-Knowledge engineering (KE) refers to all technical, scientific and social aspects involved in building, maintaining and using knowledge-based systems." | large_corpus_distillation |
"Nilpotent matrix-Examples-Example 1 The matrix A=[0100] is nilpotent with index 2, since A2=0 Example 2 More generally, any n -dimensional triangular matrix with zeros along the main diagonal is nilpotent, with index \u2264n . For example, the matrix B=[0216001200030000] is nilpotent, with B2=[0027000300000000];B3=... | large_corpus_distillation |
"Rearrangement inequality-Geometric interpretation-Consider a rectangle of width x1+\u22ef+xn and height y1+\u22ef+yn, subdivided into n columns of widths x1,\u2026,xn and the same number of rows of heights y1,\u2026,yn, so there are n2 small rectangles. You are supposed to take n of these, one from each column ... | large_corpus_distillation |
Whether one item is taken before, after, or simultaneously with another item is irrelevant.\nThe probability of taking a particular item is proportional to its \"weight\". The weight of an item depends only on its kind (e.g., color).\nThe total number n of items that will be taken is not known before the experiment.\nn... | large_corpus_distillation |
"Superscalar processor-Limitations-Although the instruction stream may contain no inter-instruction dependencies, a superscalar CPU must nonetheless check for that possibility, since there is no assurance otherwise and failure to detect a dependency would produce incorrect results." | large_corpus_distillation |
"Housekeeping (computing)-Examples-Housekeeping could include (but is not limited to) the following activities: Saving and restoring program state for called functions (including general purpose registers and return address) Obtaining local memory on the stack Initializing local variables at the start of a program or f... | large_corpus_distillation |
"Optimal control-Examples-A common solution strategy in many optimal control problems is to solve for the costate (sometimes called the shadow price) \u03bb(t) . The costate summarizes in one number the marginal value of expanding or contracting the state variable next turn. The marginal value is not only the gains ac... | large_corpus_distillation |
"Hamming code-Description-An algorithm can be deduced from the following description: Number the bits starting from 1: bit 1, 2, 3, 4, 5, 6, 7, etc.\nWrite the bit numbers in binary: 1, 10, 11, 100, 101, 110, 111, etc.\nAll bit positions that are powers of two (have a single 1 bit in the binary form of their position) ... | large_corpus_distillation |
"ThreadX-Technology-ThreadX also provides counting semaphores, mutexes with optional priority inheritance, event flags, message queues, software timers, fixed sized block memory, and variable sized block memory. All APIs in ThreadX that block on resources also have an optional timeout.\nThreadX offers multi-core proces... | large_corpus_distillation |
"Bin packing problem-Online heuristics-Single-class algorithms There are many simple algorithms that use the following general scheme: For each item in the input list: If the item fits into one of the currently open bins, then put it in one of these bins; Otherwise, open a new bin and put the new item in it.The algorit... | large_corpus_distillation |
"Color-coding-The method-The colorful cycle-finding algorithm works by first finding all pairs of vertices in V that are connected by a simple path of length k \u2212 1, and then checking whether the two vertices in each pair are connected. Given a coloring function c : V \u2192 {1, ..., k} to color graph G, enumerate ... | large_corpus_distillation |
"Randomness-Applications-Politics: Athenian democracy was based on the concept of isonomia (equality of political rights), and used complex allotment machines to ensure that the positions on the ruling committees that ran Athens were fairly allocated. Allotment is now restricted to selecting jurors in Anglo-Saxon legal... | large_corpus_distillation |
"Connectivity (graph theory)-Computational aspects-In computational complexity theory, SL is the class of problems log-space reducible to the problem of determining whether two vertices in a graph are connected, which was proved to be equal to L by Omer Reingold in 2004. Hence, undirected graph connectivity may be solv... | large_corpus_distillation |
"Input queue-Input queue-In computer science, an input queue is a collection of processes in storage that are waiting to be brought into memory to run a program. Input queues are mainly used in Operating System Scheduling which is a technique for distributing resources among processes. Input queues not only apply to op... | large_corpus_distillation |
"ASIL accuracy-ASIL accuracy-ASIL accuracy describes the maximum possible deviation of a measurement in a system in which a single point fault occurred before some diagnostic detects this fault. This concept applies to automotive systems designed under the ISO-26262 methodology for automotive functional safety, which d... | large_corpus_distillation |
"Sequential pattern mining-Applications-With a great variation of products and user buying behaviors, shelf on which products are being displayed is one of the most important resources in retail environment. Retailers can not only increase their profit but, also decrease cost by proper management of shelf space allocat... | large_corpus_distillation |
kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = (c+1)n k0." | large_corpus_distillation |
"Semantics encoding-Properties-Preservation of termination This also assumes the existence of a notion of reduction on both language A and language B.\nsoundness for any term TA , if all reductions of TA converge, then all reductions of [TA] converge." | large_corpus_distillation |
relations as the sequence proceeds. In his system, a counterfactual like \"If Hannah had drunk coffee, she would be happy\" would normally be evaluated using a model where Hannah's coffee is gasoline-free in all accessible worlds. If this same model were used to evaluate a subsequent utterance of \"If Hannah had drunk ... | large_corpus_distillation |
"Printmaking-Techniques-Mixed-media prints Mixed-media prints may use multiple traditional printmaking processes such as etching, woodcut, letterpress, silkscreen, or even monoprinting in the creation of the print. They may also incorporate elements of chine colle, collage, or painted areas, and may be unique, i.e. one... | large_corpus_distillation |
"Twitter-Usage-Content San Antonio-based market-research firm Pear Analytics analyzed 2,000 tweets (originating from the United States and in English) over a two-week period in August 2009 from 11:00 am to 5:00 pm (CST) and separated them into six categories. Pointless babble made up 40%, with 38% being conversational.... | large_corpus_distillation |
"Stein discrepancy-Examples-Concretely, if we take the inverse multi-quadric kernel k(x,x\u2032)=(1+(x\u2212x\u2032)\u22a4\u03a3\u22121(x\u2212x\u2032))\u2212\u03b2 with parameters \u03b2>0 and \u03a3\u2208Rd\u00d7d a symmetric positive definite matrix, and if we denote log \u2061p(x) , then we have 2.1 tr (\u03a3\... | large_corpus_distillation |
least two instances of movement (or copying) are necessary. The following trees show a similar movement-type analysis, time a flatter, dependency-based understanding of sentence structure is now assumed: The flatter structure allows for a simpler analysis to an extent. The subject and auxiliary verb can easily invert w... | large_corpus_distillation |
gas quantity (for example, in volume units) while vm is the monolayer adsorbed gas quantity. c is the BET constant, exp \u2061(E1\u2212ELRT),(2) where E1 is the heat of adsorption for the first layer, and EL is that for the second and higher layers and is equal to the heat of liquefaction or heat of vaporization." | large_corpus_distillation |
"Lattice and bridged-T equalizers-Amplitude correction-For the attenuation constant, the expression is of the form: 10 10 =P0+P2.f2+P4.f4+....Q0+Q2.f2+Q4.f4+....\nwhich is a ratio of two polynomials in f2, and in which the coefficients could be determined from the known data, or measurements." | large_corpus_distillation |
that apps can only natively access only their own sandbox root directory or sub-directories on an SD card. Apps wanting to access files or folders outside that on the SD card, are required to use Android's own system file selector. Due to this limitation, guest OSes running on, emulation, platform virtualization, or co... | large_corpus_distillation |
"Address space layout randomization-Implementations-Position-independent executable (PIE) implements a random base address for the main executable binary and has been in place since 2003. It provides the same address randomness to the main executable as being used for the shared libraries. The PIE feature cannot be use... | large_corpus_distillation |
"Maximum likelihood estimation-Properties-Invariance: If \u03b8^ is the maximum likelihood estimator for \u03b8 , and if g(\u03b8) is any transformation of \u03b8 , then the maximum likelihood estimator for \u03b1=g(\u03b8) is \u03b1^=g(\u03b8^) . This property is less commonly known as functional equivariance. T... | large_corpus_distillation |
"Least common multiple-Calculation-The algorithm stops when all elements in sequence X(m) are equal. Their common value L is exactly lcm(X).\nFor example, if X = X(1) = (3, 4, 6), the steps in the algorithm produce: X(2) = (6, 4, 6) X(3) = (6, 8, 6) X(4) = (6, 8, 12) - by choosing the second 6 X(5) = (9, 8, 12) X(6) = ... | large_corpus_distillation |
The process was repeated at different heights to create a three-dimensional model of the tree." | large_corpus_distillation |
degrees of freedom is the number of dimensions of the domain of a random vector, or essentially the number of \"free\" components (how many components need to be known before the vector is fully determined)." | large_corpus_distillation |
fundamental result was that in the non-arithmetic case, as . This result implies part (b) in the\ntheorem above.\nAge Processes\nRenewal reward processes can be used to derive some asymptotic results for the age processes of a standard renewal process So,\nX T N\nsuppose that we have a renewal process with interarrival... | large_corpus_distillation |
"Coverage data-Coverage data-A coverage is the digital representation of some spatio-temporal phenomenon. ISO 19123 provides the definition: [a] feature that acts as a function to return values from its range for any direct position within its spatial, temporal or spatiotemporal domainCoverages play an important role i... | large_corpus_distillation |
impact, along with the availability of extensions such as NoScript, which can disable JavaScript in a more controlled fashion. The following release added the ability to disable JavaScript through the developer tools for testing purposes.In January 2015, TorrentFreak reported that using Firefox when connected to the in... | large_corpus_distillation |
\u21c0u is the unit vector in the direction of \u21c0v (Figure 12.1.16). The process of using scalar\n\u2225\u21c0v\u2225\nmultiplication to find a unit vector with a given direction is called normalization.\n12.1.12 https://math.libretexts.org/@go/page/2586" | large_corpus_distillation |
"Matrix multiplication algorithm-Divide-and-conquer algorithm-Non-square matrices A variant of this algorithm that works for matrices of arbitrary shapes and is faster in practice splits matrices in two instead of four submatrices, as follows.\nSplitting a matrix now means dividing it into two parts of equal size, or a... | large_corpus_distillation |
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