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"Krasner's lemma-Generalization-Krasner's lemma has the following generalization.\nConsider a monic polynomial f\u2217=\u220fk=1n(X\u2212\u03b1k\u2217) of degree n > 1 with coefficients in a Henselian field (K, v) and roots in the algebraic closure K. Let I and J be two disjoint, non-empty sets with union {1,...,n}. M... | large_corpus_distillation |
"Traffic collision-Prevention-A large body of knowledge has been amassed on how to prevent car crashes, and reduce the severity of those that do occur." | large_corpus_distillation |
"Calling convention-Architectures-68k The most common calling convention for the Motorola 68000 series is: d0, d1, a0 and a1 are scratch registers All other registers are callee-saved a6 is the frame pointer, which can be disabled by a compiler option Parameters are pushed onto the stack, from right to left Return valu... | large_corpus_distillation |
"Fibonacci heap-Fibonacci heap-Using Fibonacci heaps for priority queues improves the asymptotic running time of important algorithms, such as Dijkstra's algorithm for computing the shortest path between two nodes in a graph, compared to the same algorithm using other slower priority queue data structures." | large_corpus_distillation |
"ANTIC-Bugs and Border Conditions-The bug is absent when narrow width playfield is used.\nIf Mode 8 or 9 is NOT using Horizontal scrolling and follows: Mode 2, 3, 4, 5, D, E, or F and HSCROL is $A, $B, $E, or $F: then corruption continues through the mode line.\nMode 2, 3, 4, 5, D, E, or F and HSCROL is $C or $D: then ... | large_corpus_distillation |
"Distributed key generation-Applications-Distributed key generation and distributed key cryptography are rarely applied over the internet because of the reliance on synchronous communication.Distributed key cryptography is useful in key escrow services where a company can meet a threshold to decrypt a ciphertext versio... | large_corpus_distillation |
"Meaning\u2013text theory-Levels of representation-Linguistic models in meaning\u2013text theory operate on the principle that language consists in a mapping from the content or meaning (semantics) of an utterance to its form or text (phonetics). Intermediate between these poles are additional levels of representation ... | large_corpus_distillation |
"Overcompleteness-Overcompleteness-In research areas such as signal processing and function approximation, overcompleteness can help researchers to achieve a more stable, more robust, or more compact decomposition than using a basis." | large_corpus_distillation |
"Incentive-centered design-Interdisciplinary concepts-Social computing Social computing concerns the intertwining of computational systems and social behavior. Social computing entails a high level of community formation, user content creation, and collective action. Peer-to-peer networks, open source communities, and ... | large_corpus_distillation |
"Quadruple-precision floating-point format-IEEE 754 quadruple-precision binary floating-point format: binary128-So the bits beyond the rounding point are 0101... which is less than 1/2 of a unit in the last place." | large_corpus_distillation |
"(a,b,0) class of distributions-(a,b,0) class of distributions-In probability theory, a member of the (a, b, 0) class of distributions is any distribution of a discrete random variable N whose values are nonnegative integers whose probability mass function satisfies the recurrence formula pkpk\u22121=a+bk,k=1,2,3,\u202... | large_corpus_distillation |
tasks. A natural simplification is to choose a separable kernel, which factors into separate kernels on the input space X and on the tasks {1,...,T} . In this case the kernel relating scalar components ft and fs is given by {\\textstyle \\gamma ((x_{i},t),(x_{j},s))=k(x_{i},x_{j})k_{T}(s,t)=k(x_{i},x_{j})A_{s,t}} .... | large_corpus_distillation |
"Margin classifier-Examples of margin-based algorithms-Many classifiers can give an associated margin for each example. However, only some classifiers utilize information of the margin while learning from a data set." | large_corpus_distillation |
"Carmichael number-Quasi\u2013Carmichael number-Quasi\u2013Carmichael numbers are squarefree composite numbers n with the property that for every prime factor p of n, p\u2009+\u2009b divides n\u2009+\u2009b positively with b being any integer besides 0. If b = \u22121, these are Carmichael numbers, and if b = 1, these ... | large_corpus_distillation |
"Fibonacci search technique-Algorithm-Let k be defined as an element in F, the array of Fibonacci numbers. n = Fm is the array size. If n is not a Fibonacci number, let Fm be the smallest number in F that is greater than n.\nThe array of Fibonacci numbers is defined where Fk+2 = Fk+1 + Fk, when k \u2265 0, F1 = 1, and ... | large_corpus_distillation |
"Single-chip Cloud Computer-The future-Intel plans to share this technology with other companies such as HP, Yahoo, and Microsoft to have multiple companies researching the SCC to more efficiently and quickly advance the technology. They hope to make the SCC scalable to 100+ cores. One way they hope to achieve this is ... | large_corpus_distillation |
"Java syntax-Primitive types-Primitive types in Java include integer types, floating-point numbers, UTF-16 code units and a boolean type. There are no unsigned types in Java except char type, which is used to represent UTF-16 code units. The lack of unsigned types is offset by introducing unsigned right shift operation... | large_corpus_distillation |
a valid\nA\u2208T\nevent for each , so that the definition makes sense.\nBasic Theory\nPreliminary Results\nOur first result is of fundamental importance, and indeed was a crucial part of the argument for the definition of conditional\nprobability.\nB P(B)>0 A\u21a6P(A\u2223B) S\nSuppose again that is an event with . T... | large_corpus_distillation |
to), *v (in, on) the instrumental case (I) = (1) in English \"by (means of) x\"; answers the question By (means of) whom / By (means of) what; for example [written] by the father; (2) is used after the prepositions: *medzi (between, among), *nad (above), *pod (under), *pred (before, in front of), s (with), *za (behind,... | large_corpus_distillation |
"Diagnosis code-Weaknesses in diagnostic coding-Projections of code spaces as flattened graphs may ease the depiction of a code, but generally reduce the contained information with the flattening. There is no explanation given with many of the codes for transforming from one code system to another. That leads to specia... | large_corpus_distillation |
"Neural tangent kernel-Applications-Convergence to a global minimum For a convex loss functional C with a global minimum, if the NTK remains positive-definite during training, the loss of the ANN C(f(\u22c5;\u03b8(t))) converges to that minimum as t\u2192\u221e . This positive-definiteness property has been shown in... | large_corpus_distillation |
values\u201d.The relationship between speculative design and critical design can be seen from Matt Malpass identification of the current contemporary design practices into three classifications; the first is associative design, the second is speculative design, and the third is critical design. Speculative design is a ... | large_corpus_distillation |
can be distributed via the free Wi-Fi network and hackers can exploit software vulnerabilities to smuggle malware onto connected devices. It is also possible to eavesdrop and sniff Wi-Fi signals using special software and devices, capturing login credentials and hijacking accounts.As with GSM, if the attacker succeeds ... | large_corpus_distillation |
make these lengthy\ncomputations. de Moivre noted that when the number of events (coin flips) increased, the shape of the binomial distribution\n2 4 12 7.2.1\napproached a very smooth curve. Binomial distributions for , , and flips are shown in Figure .\nFigure 7.2.1: Examples of binomial distributions. The heights of ... | large_corpus_distillation |
"Naive set theory-Naive set theory-Unlike axiomatic set theories, which are defined using formal logic, naive set theory is defined informally, in natural language. It describes the aspects of mathematical sets familiar in discrete mathematics (for example Venn diagrams and symbolic reasoning about their Boolean algebr... | large_corpus_distillation |
cue. Results similar to these have also been found when certain smells are present at encoding.However, although the external environment is important at the time of encoding in creating multiple pathways for retrieval, other studies have shown that simply creating the same internal state that was present at the time o... | large_corpus_distillation |
it is important to know you are using FIFO. The customer\nordered 12 items. You have 19 in stock at two different costs.\nUnder FIFO you usethe \u201coldest\u201d ones first \u2013 the $4 items. You sell\n6/16 all 9 of those and then need 3 items that cost $5 to complete the\norder. You use two lines in the Cost of Mer... | large_corpus_distillation |
"Virtual threads-Performance-On a multi-core processor, native thread implementations can automatically assign work to multiple processors, whereas green thread implementations normally cannot. Green threads can be started much faster on some VMs. On uniprocessor computers, however, the most efficient model has not yet... | large_corpus_distillation |
"Artificial stupidity-History-It is claimed that the interrogator could distinguish the machine from the man simply by setting them a number of problems in arithmetic. The machine would be unmasked because of its deadly accuracy.\nAs Turing then noted, the reply to this is a simple one: the machine should not attempt t... | large_corpus_distillation |
"Logo-Logo color-In today's digital interface adaptive world, a logo will be formatted and re-formatted from large monitors to small handheld devices. With the constant size change and re-formatting, logo designers are shifting to a more bold and simple approach, with heavy lines and shapes, and solid colors. This redu... | large_corpus_distillation |
"Teeming and lading-Teeming and lading-Teeming & lading is a method by which a person who takes or handles payments uses the money personally for some days and posts the transaction later. The handler receives cash, and uses it for personal purposes instead of depositing it. A common practice trait in this fraudulent a... | large_corpus_distillation |
"Group (mathematics)-Examples and applications-However, the set of all nonzero rational numbers Q\u2216{0}={q\u2208Q\u2223q\u22600} does form an abelian group under multiplication, also denoted Q\u00d7 . Associativity and identity element axioms follow from the properties of integers. The closure requirement still ho... | large_corpus_distillation |
"Data descriptor-Data descriptor-In computing, a data descriptor is a structure containing information that describes data.\nData descriptors may be used in compilers, as a software structure at run time in languages like Ada or PL/I, or as a hardware structure in some computers such as Burroughs large systems.\nData d... | large_corpus_distillation |
"Mobile application testing-Types of mobile application testing-Security testing: Checks vulnerabilities to hacking, authentication and authorization policies, data security, session management and other security standards.\nLocation testing: Connectivity changes with network and location, but you can't mimic those flu... | large_corpus_distillation |
"One-Net-Security-By default, ONE-NET uses the Extended Tiny Encryption Algorithm (XTEA) version 2 with 32 iterations (XTEA2-32). The ONE-NET protocol provides extensions to even higher levels of encryption. Encryption is integral to the ONE-NET protocol, there are no unencrypted modes. Alternate encryption ID tag allo... | large_corpus_distillation |
"Summability kernel-Examples-The Fej\u00e9r kernel The Poisson kernel (continuous index) The Dirichlet kernel is not a summability kernel, since it fails the second requirement." | large_corpus_distillation |
"Finite field arithmetic-Implementation tricks-Composite field When k is a composite number, there will exist isomorphisms from a binary field GF(2k) to an extension field of one of its subfields, that is, GF((2m)n) where k = m n. Utilizing one of these isomorphisms can simplify the mathematical considerations as the d... | large_corpus_distillation |
"String operations-Syntactic relation-The right quotient of a subset S\u2282M of a monoid M defines an equivalence relation, called the right syntactic relation of S. It is given by \u223cS={(s,t)\u2208M\u00d7M|S/s=S/t} The relation is clearly of finite index (has a finite number of equivalence classes) if and only i... | large_corpus_distillation |
"Classification (general theory)-Classification (general theory)-The term classification can apply to one or all of: the process of classifying (distinguishing and distributing kinds of \"things\" into different groups) a resulting set of classes (also called \"a classification system\") the assignment of elements to p... | large_corpus_distillation |
"Nowhere dense set-Nowhere dense set-In mathematics, a subset of a topological space is called nowhere dense or rare if its closure has empty interior. In a very loose sense, it is a set whose elements are not tightly clustered (as defined by the topology on the space) anywhere. For example, the integers are nowhere de... | large_corpus_distillation |
"Large deviations theory-Introductory examples-Let us make this statement more precise. For a given value 0.5 <x<1 , let us compute the tail probability P(MN>x) . Define ln ln ln \u20612 .Note that the function I(x) is a convex, nonnegative function that is zero at x=12 and increases as x approaches 1 . It is the... | large_corpus_distillation |
"Blowing up-Blowing up schemes-\u03c0 is an isomorphism away from the exceptional divisor, but the exceptional divisor need not be in the exceptional locus of \u03c0. That is, \u03c0 may be an isomorphism on E. This happens, for example, in the trivial situation where I is already an invertible sheaf. In particular, i... | large_corpus_distillation |
"Cryptography standards-Encryption standards-Data Encryption Standard (DES, now obsolete) Advanced Encryption Standard (AES) RSA the original public key algorithm OpenPGP " | large_corpus_distillation |
"Internet fax-Traditional fax-Hardcopy is converted to TIFF or PDF data and attached to an e-mail in MIME format. Then, taking advantage of a connection to the office LAN, data is sent via TCP/IP directly to any Internet Fax on the intranet or Internet. Because they make use of TCP/IP, Internet Faxes do not incur long-... | large_corpus_distillation |
observations coming from the study of open source software development appear to challenge some of the laws." | large_corpus_distillation |
"Independence-friendly logic-Syntax-A number of slightly different presentations of independence-friendly logic have appeared in the literature; here we follow Mann et al (2011).\nTerms and atomic formulas For a fixed signature \u03c3, terms and atomic formulas are defined exactly as in first-order logic with equality.... | large_corpus_distillation |
"Closure problem-Applications-Military targeting In military operations, high-value targets such as command centers are frequently protected by layers of defense systems, which may in turn be protected by other systems. In order to reach a target, all of its defenses must be taken down, making it into a secondary targe... | large_corpus_distillation |
"Nakayama's lemma-Consequences-Local rings In the special case of a finitely generated module M over a local ring R with maximal ideal m , the quotient M/mM is a vector space over the field R/m . Statement 4 then implies that a basis of M/mM lifts to a minimal set of generators of M . Conversely, every minimal s... | large_corpus_distillation |
"Merge algorithm-Application-Repeatedly merge sublists to create a new sorted sublist until the single list contains all elements. The single list is the sorted list.The merge algorithm is used repeatedly in the merge sort algorithm.\nAn example merge sort is given in the illustration. It starts with an unsorted array ... | large_corpus_distillation |
for real values of x, but it remains true for all complex values.\nProof: Let cos sin \u2061x, and f2(x)=eix.\nOne has dfj(x)/dx=ifj(x) for j = 1, 2. The quotient rule implies thus that d/dx(f1(x)/f2(x))=0 . Therefore, f1(x)/f2(x) is a constant function, which equals 1, as 1.\nThis proves the formula.\nOne has co... | large_corpus_distillation |
"Adjunct (grammar)-Distinguishing between predicative expressions, arguments, and adjuncts-b. Bob ate with a fork and with a spoon.\nOptional arguments vs. adjuncts The distinction between arguments and adjuncts is much less clear than the simple omission diagnostic (and the other diagnostics) suggests. Most accounts o... | large_corpus_distillation |
"Referential transparency-Referential transparency-In analytic philosophy and computer science, referential transparency and referential opacity are properties of linguistic constructions, and by extension of languages. A linguistic construction is called referentially transparent when for any expression built from it,... | large_corpus_distillation |
"Similarity (geometry)-Similarity with a center-This direct similarity that transforms triangle EFA into triangle ATB can be decomposed into a rotation and a homothety of same center S in several manners. For example, D=R\u2218H=H\u2218R, the last decomposition being only represented on the image. To get D we can als... | large_corpus_distillation |
"Ampere balance-Ampere balance-The main weakness of the ampere balance is that the calculation of the current involves the dimensions of the coils. So the accuracy of the current measurement is limited by the accuracy with which the coils can be measured, and their mechanical rigidity." | large_corpus_distillation |
"Explained sum of squares-Partitioning in the general ordinary least squares model-In linear algebra terms, we have RSS=\u2016y\u2212y^\u20162 , TSS=\u2016y\u2212y\u00af\u20162 , ESS=\u2016y^\u2212y\u00af\u20162 The proof can be simplified by noting that y^Ty^=y^Ty . The proof is as follows: y^Ty^=yTX(XTX)\u22121XT... | large_corpus_distillation |
"Matrix chain multiplication-More efficient algorithms-Chin-Hu-Shing approximate solution An algorithm created independently by Chin and Hu & Shing runs in O(n) and produces a parenthesization which is at most 15.47% worse than the optimal choice. In most cases the algorithm yields the optimal solution or a solution wh... | large_corpus_distillation |
"Metrical phonology-Metrical trees-Proponents of binary branching trees have claimed that such trees can constrain the restructuring of very long and very short constituents because new nodes created in this restructuring have to correspond to nodes in the original tree. Proponents of n-ary branching trees point out th... | large_corpus_distillation |
to code execution can leak information not essential to the correctness of normal program execution." | large_corpus_distillation |
"220 3 \u2022 Functions\n3.2 SECTION EXERCISES\nVerbal\n1. Why does the domain differ 2. How do we determine the 3. Explain why the domain of\nfor different functions? domain of a function is different from\ndefined by an equation? the domain of\n4. When describing sets of 5. How do you graph a\nnumbers using interval ... | large_corpus_distillation |
while solving the other problems, In particular, the cost estimate of a solution having xi+1,\u2026,xn as unassigned variables is added to the cost that derives from the evaluated variables. Virtually, this corresponds on ignoring the evaluated variables and solving the problem on the unassigned ones, except that the ... | large_corpus_distillation |
"Shephard's lemma-Definition-In consumer theory, Shephard's lemma states that the demand for a particular good i for a given level of utility u and given prices p , equals the derivative of the expenditure function with respect to the price of the relevant good: hi(p,u)=\u2202e(p,u)\u2202pi where hi(p,u) is the Hic... | large_corpus_distillation |
"Translation lookaside buffer-Overview-In a Harvard architecture or modified Harvard architecture, a separate virtual address space or memory-access hardware may exist for instructions and data. This can lead to distinct TLBs for each access type, an instruction translation lookaside buffer (ITLB) and a data translatio... | large_corpus_distillation |
through another corrupt pointer. In general, C is permissive in allowing manipulation of and conversion between pointer types, although compilers typically provide options for various levels of checking. Some other programming languages address these problems by using more restrictive reference types." | large_corpus_distillation |
International Dictionary of the English Language, Unabridged, for instance, has 475,000 entries (with many additional embedded headwords); the Oxford English Dictionary has 615,000 headwords, but includes Middle English as well, for which the English Wiktionary has an additional 34,234 gloss definitions. Detailed stat... | large_corpus_distillation |
"Incompressibility method-Applications-Both proofs are presented in more detail.\nGraph theory A labeled graph G=(V,E) with n nodes can be represented by a string E(G) of (n2) bits, where each bit indicates the presence (or absence) of an edge between the pair of nodes in that position. K(G)\u2265(n2) , and the de... | large_corpus_distillation |
numbers (5,6).\nFor q = 30, the first three solutions to the Pell equation x2 \u2212 60y2 = 1 are (31,4), (1921,248), and (119071,15372). The Pell solution (31,4) leads to the pair of consecutive P-smooth numbers (15,16)." | large_corpus_distillation |
"Keyword-driven testing-Advantages-A test design is different from the design work that should be done in determining how to build your test implementation." | large_corpus_distillation |
data items.\nDoes not allow researchers to make technical claims about language usage (unlike discourse analysis and narrative analysis)." | large_corpus_distillation |
"Debit card cashback-Fees, operation and advantages-The services are restricted to debit cards where the merchant pays a fixed fee for the transaction, it is not offered on payments by most credit cards because they would pay a percentage commission on the additional cash amount to their bank or merchant service provid... | large_corpus_distillation |
"Ioctl-Background-Userspace applications typically make requests to the kernel by means of system calls, whose code lies in the kernel layer. A system call usually takes the form of a \"system call vector\", in which the desired system call is indicated with an index number. For instance, exit() might be system call nu... | large_corpus_distillation |
"Probabilistically checkable proof-Definition-Given a decision problem L (or a language L with its alphabet set \u03a3), a probabilistically checkable proof system for L with completeness c(n) and soundness s(n), where 0 \u2264 s(n) \u2264 c(n) \u2264 1, consists of a prover and a verifier. Given a claimed solution x w... | large_corpus_distillation |
"Wheel factorization-Introduction-Natural numbers from 1 and up are enumerated by repeated addition of 1: 1, 2, 3, 4, 5, ...Considered by spans of two numbers each, they are enumerated by repeated additions of 2: 1, 2 ; 3, 4 ; 5, 6, ...Every second thus generated number will be even. Thus odds are generated by the repe... | large_corpus_distillation |
"Time-driven priority-Time-driven priority-Time-driven priority (TDP) is a synchronous packet scheduling technique that implements UTC-based pipeline forwarding and can be combined with conventional IP routing to achieve the higher flexibility than another pipeline forwarding implementation known as time-driven switchi... | large_corpus_distillation |
"Slope One-Item-based collaborative filtering of purchase statistics-In this case, the cosine between items 1 and 2 is: (1,0,0)\u22c5(0,1,1)\u2016(1,0,0)\u2016\u2016(0,1,1)\u2016=0 The cosine between items 1 and 3 is: (1,0,0)\u22c5(1,1,0)\u2016(1,0,0)\u2016\u2016(1,1,0)\u2016=12 Whereas the cosine between items 2 and 3... | large_corpus_distillation |
"Whitespace (programming language)-Sample code-The following is a commented Whitespace program that simply prints \"Hello, world!\", where each Space, Tab, or Linefeed character is preceded by the identifying comment \"S\", \"T\", or \"L\", respectively: S S S T S S T S S S L:Push_+1001000=72='H'_onto_the_stack T L S S... | large_corpus_distillation |
"2 base encoding-How it works-The sequencing step is basically composed of five rounds and each round consists of about 5-7 cycles (Figure 2). Each round begins with the addition of a P1-complementary universal primer. This primer has, for example, n nucleotides and its 5\u2019-end matches exactly with the 3\u2019-end ... | large_corpus_distillation |
within this setting is that entropy is uniquely determined, apart from a choice of unit and an additive constant for each chemical element, by the following properties: It is monotonic with respect to the relation of adiabatic accessibility, additive on composite systems, and extensive under scaling." | large_corpus_distillation |
"Abbreviation-Measurements: abbreviations or symbols-No periods should be inserted between letters\u2014for example \"m.s\" (which is an approximation of \"m\u00b7s\", which correctly uses middle dot) is the symbol for \"metres multiplied by seconds\", but \"ms\" is the symbol for milliseconds.\nNo periods should follo... | large_corpus_distillation |
event that\ni\ntoss results in heads. Then\n(H ,H ,\u2026)\n1. 1 2 are independent.\nP(H )= 3 i\n2. i 4 for each .\nP(H \u2229H \u2229\u22efH )=(3)n\n3. 1 2 n 4 .\nProof\nAgain, part (a) is essentially a modeling assumption. Since we return the coin and draw a new coin at random each time, the results of\ni\nthe tosses... | large_corpus_distillation |
"Compartment (development)-Function-By separating different cell populations, the fate of these compartments are highly organized and regulated. In addition, this separation creates a region of specialized cells close to the boundary, which serves as a signaling center for the patterning, polarizing and proliferation o... | large_corpus_distillation |
"Object storage-Implementation-\"Captive\" object storage Some large Internet companies developed their own software when object-storage products were not commercially available or use cases were very specific. Facebook famously invented their own object-storage software, code-named Haystack, to address their particula... | large_corpus_distillation |
"Reward-based selection-Description-3. r(g)=\u2211a\u2208Q(g+1)\u0394H(a,Q(g+1))\u2212\u2211a\u2208Q(g)\u0394H(a,Q(g)) , where \u0394H(a,Q(g)) is the hypervolume indicator contribution of the individual a to the population Q(g) . The reward r(g)>0 if the newly inserted individual improves the quality of the popula... | large_corpus_distillation |
"Bluetooth mesh networking-Provisioning-Provisioning is a process of installing the device into a network. It is a mandatory step to build a Bluetooth Mesh network." | large_corpus_distillation |
non-Western societies, coins often did not have a head on either side, but did have distinct engravings on the two\nsides, one typically more important than the other. Nonetheless, heads and tails are the ubiquitous terms used in probability theory\nto distinguish the front or obverse side of the coin from the back or ... | large_corpus_distillation |
"Markov chain-Applications-He also discusses various kinds of strategies and play conditions: how Markov chain models have been used to analyze statistics for game situations such as bunting and base stealing and differences when playing on grass vs. AstroTurf.\nMarkov text generators Markov processes can also be used ... | large_corpus_distillation |
"Cascading failure-In computer networks-In December 2012, a partial loss (40%) of Gmail service occurred globally, for 18 minutes. This loss of service was caused by a routine update of load balancing software which contained faulty logic\u2014in this case, the error was caused by logic using an inappropriate 'all' ins... | large_corpus_distillation |
"British carriage and wagon numbering and classification-Note on classification-However, carriages and wagons have rarely been referred to in general terms by their Diagram Number. Instead there have been a variety of other codes and designations, referring to generic designs rather than specific types. For instance, t... | large_corpus_distillation |
"Quadratic field-Class group-page 72 These decompositions can be found using the Dedekind\u2013Kummer theorem." | large_corpus_distillation |
sometimes are not an adequate representation of the whole system, are often not durable and testing results may not be parallel to those of the actual system." | large_corpus_distillation |
"\uf128 Exercise 53\nFind the sum of (8a3\u22128a) and (a2+6a+12)\nAnswer\n8a3+a2\u22122a+12\n\uf128 Exercise 54\nFind the sum of\n(b2+5b+13)\nand\n(4b3\u22126)\n\uf128 Exercise 55\nFind the difference of\n(w2+w\u221242)\nand\n(w2\u221210w+24).\nAnswer\n11w\u221266\n\uf128 Exercise 56\nFind the difference of\n(z2\u2212... | large_corpus_distillation |
"Mobile phone-History-In 1991, the second-generation (2G) digital cellular technology was launched in Finland by Radiolinja on the GSM standard. This sparked competition in the sector as the new operators challenged the incumbent 1G network operators. The GSM standard is a European initiative expressed at the CEPT (\"C... | large_corpus_distillation |
"Zero-knowledge service-Zero-knowledge service-In cloud computing, the term zero-knowledge (or occasionally no-knowledge or zero access) refers to an online service that stores, transfers or manipulates data in a way that maintains a high level of confidentiality, where the data is only accessible to the data's owner (... | large_corpus_distillation |
"3G-324M-3G-324M-3G-324M operating over a circuit switched channel between two communication peers guarantees the fixed-delay quality of service for multimedia communications. Combining Circuit switched 3G-324M services with packet-based SIP services such as presence can leverage the strength of both networks to enable... | large_corpus_distillation |
"Burroughs large systems descriptors-Details-B5000, B5500 and B5700 The B5000 was the first descriptor-based computer. Every descriptor has a flag (bit 0) of 1. Data descriptors contain a 15-bit storage address and a 10-bit size, as do most I/O descriptors. Program descriptors and External Result descriptors have a 15-... | large_corpus_distillation |
whatever amount happened to be in Envelope A, we apparently believe in advance that all the following ten amounts are all equally likely to be the smaller of the two amounts in the two envelopes: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 (equally likely powers of 2). But going to even larger or even smaller amounts, the \"... | large_corpus_distillation |
"ProVerif-ProVerif-Support is provided for cryptographic primitives including: symmetric & asymmetric cryptography; digital signatures; hash functions; bit-commitment; and signature proofs of knowledge. The tool is capable of evaluating reachability properties, correspondence assertions and observational equivalence. T... | large_corpus_distillation |
"Lee distance-Lee distance-In coding theory, the Lee distance is a distance between two strings x1x2\u2026xn and y1y2\u2026yn of equal length n over the q-ary alphabet {0, 1, \u2026, q \u2212 1} of size q \u2265 2. It is a metric defined as If q = 2 or q = 3 the Lee distance coincides with the Hamming distance, becau... | large_corpus_distillation |
=\u22121 and lim =1.\nx\u21920\u2212 x x\u21920+ x\nSee Figure 3.2.4.\nFigure 3.2.4: The function f(x)=|x| is continuous at 0 but is not differentiable at 0.\nLet\u2019s consider some additional situations in which a continuous function fails to be differentiable. Consider the function\n\u2212\u2212\nf(x)=\u221a3x:\n\u... | large_corpus_distillation |
"Entropy influence conjecture-Entropy influence conjecture-In mathematics, the entropy influence conjecture is a statement about Boolean functions originally conjectured by Ehud Friedgut and Gil Kalai in 1996." | large_corpus_distillation |
that high values bootstrap support indicate even higher confidence is unwarranted." | large_corpus_distillation |
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