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"Mental rotation-Factors that affect performance-Athletic, musical, and artistic skills Research on how athleticism and artistic ability affect mental rotation has been conducted. Pietsch, S., & Jansen, P. (2012) showed that people who were athletes or musicians had faster reaction times than people who were not. They ... | large_corpus_distillation |
"Josephus problem-Josephus problem-In the particular counting-out game that gives rise to the Josephus problem, a number of people are standing in a circle waiting to be executed. Counting begins at a specified point in the circle and proceeds around the circle in a specified direction. After a specified number of peop... | large_corpus_distillation |
"Abstract machine-Structure-Sequence control Operations and structures for \"sequence control\" allow controlling the execution flow of program instructions. When certain conditions are met, it is necessary to change the typical sequential execution of a program. Therefore, the interpreter employs data structures (such... | large_corpus_distillation |
"Lanczos algorithm-The algorithm-Lanczos works throughout with the original matrix A (and has no problem with it being known only implicitly), whereas raw Householder wants to modify the matrix during the computation (although that can be avoided).\nEach iteration of the Lanczos algorithm produces another column of th... | large_corpus_distillation |
"Semantic file system-Semantic file system-Semantic file systems are file systems used for information persistence which structure the data according to their semantics and intent, rather than the location as with current file systems. It allows the data to be addressed by their content (associative access). Traditiona... | large_corpus_distillation |
"PDF-File format-A PDF file is organized using ASCII characters, except for certain elements that may have binary content." | large_corpus_distillation |
"Modeling language-Type of modeling languages-Textual types Information models can also be expressed in formalized natural languages, such as Gellish. Gellish has natural language variants such as Gellish Formal English and Gellish Formal Dutch (Gellish Formeel Nederlands), etc. Gellish Formal English is an information... | large_corpus_distillation |
secure bit commitment protocol in the setting of relativistic cryptography. Various protocols for bit commitment have been devised by Kent and others. Experimental demonstrations of relativistic bit commitment have been implemented." | large_corpus_distillation |
"Functional predicate-Doing without functional predicates-Many treatments of predicate logic don't allow functional predicates, only relational predicates.\nThis is useful, for example, in the context of proving metalogical theorems (such as G\u00f6del's incompleteness theorems), where one doesn't want to allow the int... | large_corpus_distillation |
"Relation (mathematics)-Representation of relations-The representation of Rdiv as a boolean matrix is shown in the left table; the representation both as a Hasse diagram and as a directed graph is shown in the right picture.\nThe following are equivalent: x Rdiv y is true.\n(x,y) \u2208 Rdiv.\nA path from x to y exists... | large_corpus_distillation |
"Adele ring-The idele group-Please, note the abuse of notation: On the left hand side in line 1 of this chain of equations, (\u22c5) stands for the map defined above. Later, the embedding of K\u00d7 into fin is used. In line 2, the definition of the map is used. Finally, use that O is a Dedekind domain and therefo... | large_corpus_distillation |
"Figure 1: The Bayes classifier when \u03c0 = 1/2.\nGiven data D = {(X ,Y ),...,(X ,Y )}, we build a classifier h\u02c6 (X), which is random\nn 1 1 n n n\nin two senses: it is a function of a random variable X and also depends implicitly on the\nrandom data D . As above, we judge a classifier according to the quantity ... | large_corpus_distillation |
processes of remembering (memin\u012b), hating (\u014dd\u012b) and knowing (n\u014dv\u012b) are represented by 'perfect indicative' verbs as illustrated in the table below." | large_corpus_distillation |
by 1.5 roughly yields the maximum number of characters for novice readers (45.5 \u00d7 1.5 = 68.25 [\u2248 60])." | large_corpus_distillation |
"Pantry-Pantry-A pantry is a room or cupboard where beverages, food, (sometimes) dishes, household cleaning products, linens or provisions are stored within a home or office. Food and beverage pantries serve in an ancillary capacity to the kitchen." | large_corpus_distillation |
"List comprehension-Similar constructs-There is some effort in providing C++ with list-comprehension constructs/syntax similar to the set builder notation." | large_corpus_distillation |
"Concolic testing-Limitations-Concolic testing has a number of limitations: If the program exhibits nondeterministic behavior, it may follow a different path than the intended one. This can lead to nontermination of the search and poor coverage.\nEven in a deterministic program, a number of factors may lead to poor cov... | large_corpus_distillation |
"Glossary of computer science-D-data structure A data organization, management, and storage format that enables efficient access and modification. More precisely, a data structure is a collection of data values, the relationships among them, and the functions or operations that can be applied to the data.\ndata type Al... | large_corpus_distillation |
"Sufficient statistic-Examples-To see this, consider the joint probability distribution: Pr (X=x)=P(X1=x1,X2=x2,\u2026,Xn=xn).\nBecause the observations are independent, this can be written as e\u2212\u03bb\u03bbx1x1!\u22c5e\u2212\u03bb\u03bbx2x2!\u22efe\u2212\u03bb\u03bbxnxn! which may be written as e\u2212n\u03bb\u03... | large_corpus_distillation |
distances).In the simple case, a relative entropy of 0 indicates that the two distributions in question have identical quantities of information. Relative entropy is a nonnegative function of two distributions or measures. It has diverse applications, both theoretical, such as characterizing the relative (Shannon) entr... | large_corpus_distillation |
"XTR-Cryptographic schemes-In the more traditional ElGamal encryption the message is restricted to the key space, which would here be GF(p2) , because Tr(g)\u2208GF(p2)\u2200p\u2208GF(p6)\u2217 . The encryption in this case is the multiplication of the message with the key, which is an invertible operation in the key... | large_corpus_distillation |
"Link prediction-Applications-In biology, link prediction has been used to predict interactions between proteins in protein-protein interaction networks. Link prediction has also been used to infer interactions between drugs and targets using link prediction Another application is found in collaboration prediction in s... | large_corpus_distillation |
not being able to give results accurate to more than seven or eight decimal places\". Hewlett-Packard responded that the alleged imprecision was inherent to arithmetic on any computer with finite precision." | large_corpus_distillation |
"Adjunct (grammar)-Distinguishing between predicative expressions, arguments, and adjuncts-d. Bob ate the pizza with a fork on Tuesday. \u2013 with a fork and on Tuesday are both adjuncts.Object arguments are typically closer to their head than adjuncts: a. the collection of figurines (complement) in the dining room (a... | large_corpus_distillation |
"(2,3,7) triangle group-Constructions-In fact, the order is a free Z[\u03b7]-module over the basis 1,g2,g3,g2g3 . Here the generators satisfy the relations g22=g33=(g2g3)7=\u22121, which descend to the appropriate relations in the triangle group, after quotienting by the center." | large_corpus_distillation |
"Usability-Designing for usability-Empirical measurement Test the system early on, and test the system on real users using behavioral measurements. This includes testing the system for both learnability and usability. (See Evaluation Methods). It is important in this stage to use quantitative usability specifications s... | large_corpus_distillation |
"Poisson distribution-Occurrence and applications-Law of rare events The rate of an event is related to the probability of an event occurring in some small subinterval (of time, space or otherwise). In the case of the Poisson distribution, one assumes that there exists a small enough subinterval for which the probabili... | large_corpus_distillation |
"Cantelli's inequality-Proof-Let X be a real-valued random variable with finite variance \u03c32 and expectation \u03bc , and define Y=X\u2212E[X] (so that E[Y]=0 and Var \u2061(Y)=\u03c32 ).\nThen, for any u\u22650 , we have Pr Pr Pr Pr ((Y+u)2\u2265(\u03bb+u)2)\u2264E[(Y+u)2](\u03bb+u)2=\u03c32+u2(\u03bb+u)2.\... | large_corpus_distillation |
scientific notation with negative exponents, such as 6.023\u00d710\u22127, which represents 0.0000006023. The 10\u22127 represents a denominator of 107. Dividing by 107 moves the decimal point 7 places to the left." | large_corpus_distillation |
Each correct answer scores one point, and wrong answer scores zero point." | large_corpus_distillation |
"Variance-Moment of inertia-This difference between moment of inertia in physics and in statistics is clear for points that are gathered along a line. Suppose many points are close to the x axis and distributed along it. The covariance matrix might look like 10 0.1 0.1 ].\nThat is, there is the most variance in the x d... | large_corpus_distillation |
field of 3355377147 elements (an 1175-bit finite field).On 25 June 2014, Razvan Barbulescu, Pierrick Gaudry, Aurore Guillevic, and Fran\u00e7ois Morain announced a new computation of a discrete logarithm in a finite field whose order has 160 digits and is a degree 2 extension of a prime field. The algorithm used was th... | large_corpus_distillation |
"Scram-Mechanisms-In most reactor designs, the routine shutdown procedure also uses a scram to insert the control rods, as it is the most reliable method of completely inserting the control rods, and prevents the possibility of accidentally withdrawing them during or after the shutdown." | large_corpus_distillation |
(a) is the standard two-sided test, while (b) is the right-tailed test and (c) is the left-tailed test. Note that in each case, the\nhypothesis test is the dual of the corresponding interval estimate constructed in the section on Estimation in the Normal Model.\nH \u03b1 \u03bc 1\u2212\u03b1\nFor each of the tests abov... | large_corpus_distillation |
"Oblivious data structure-Oblivious data structures-Now we have the square-root algorithm to simulate the oblivious ram working.\nFor each {\\sqrt {m}} accesses, randomly permute first m+{\\sqrt {m}} memory.\nCheck the shelter words first if we want to access a word.\nIf the word is there, access one of the dummy wor... | large_corpus_distillation |
"Automatic content extraction-Goals and efforts-The effort involves: defining the research tasks in detail, collecting and annotating data needed for training, development, and evaluation, supporting the research with evaluation tools and research workshops." | large_corpus_distillation |
"Ternary conditional operator-Usage-R The traditional if-else construct in R (which is an implementation of S) is: If there is only one statement in each block, braces can be omitted, like in C: The code above can be written in the following non-standard condensed way: There exists also the function ifelse that allows ... | large_corpus_distillation |
"Generalized minimal residual method-Solving the least squares problem-One part of the GMRES method is to find the vector yn which minimizes Note that H~n is an (n + 1)-by-n matrix, hence it gives an over-constrained linear system of n+1 equations for n unknowns." | large_corpus_distillation |
siblings is not full, distribute \u03b5 evenly among the s nodes according to Hilbert values.H4. If all the s cooperating siblings are full, create a new node NN and distribute \u03b5 evenly among the s + 1 nodes according to Hilbert values return NN." | large_corpus_distillation |
"Optimizing compiler-Specific techniques-E.g., if (c) { foo; } if (c) { bar; } to if (c) { foo; bar; }, and if (c) { foo; } if (!c) { bar; } to if (c) { foo; } else { bar; }.Macro compression A space optimization that recognizes common sequences of code, creates subprograms (\"code macros\") that contain the common cod... | large_corpus_distillation |
instruction sets (e.g., IA-64) specify very large numbers of registers for specifically this reason.\nHowever, there are limitations to this approach: It is very difficult for the compiler to avoid reusing registers without large code size increases. In loops, for instance, successive iterations would have to use diffe... | large_corpus_distillation |
"-onym-Words that end in -onym-allonym: an author's name of another person's, often a well-known person's, name; an alternative term for a pseudonym anacronym: an acronym so well-established that its origin as an abbreviation is no longer widely known and its component initials are in danger of no longer being recogniz... | large_corpus_distillation |
from Princeton University analyzed shared library concepts of several operating systems. In his 2003 paper titled Improved Portability of Shared Libraries, he worried about the lack of a Windows Application Compatibility Group equivalent." | large_corpus_distillation |
its degree). The vertices with the highest degree therefore have a high degree centrality." | large_corpus_distillation |
"Cocoa Sharp-Framework architecture-Mono-specific enhancements Native interop services and COM interop Security - Transparent Code Framework Code Execution Engine The Mono runtime contains a code execution engine that translates ECMA CIL byte codes into native code and supports a number of processors: ARM, MIPS (in 32-... | large_corpus_distillation |
"Monoid-Definition-Identity element There exists an element e in S such that for every element a in S, the equalities e \u2022 a = a and a \u2022 e = a hold.In other words, a monoid is a semigroup with an identity element. It can also be thought of as a magma with associativity and identity. The identity element of a m... | large_corpus_distillation |
"Unix shell-Concept-In Unix-like operating systems, users typically have many choices of command-line interpreters for interactive sessions. When a user logs into the system interactively, a shell program is automatically executed for the duration of the session. The type of shell, which may be customized for each user... | large_corpus_distillation |
"Tag URI scheme-Format-The date used in a tag may be a past date, provided the tagging entity controlled the authority name on that past date. An entity which acquires control of an authority name immediately after a period when it was unassigned is allowed to mint tags as if it controlled the authority name during the... | large_corpus_distillation |
"Continuous deployment-Continuous deployment-Continuous deployment (CD) is a software engineering approach in which software functionalities are delivered frequently and through automated deployments.Continuous deployment contrasts with continuous delivery (also abbreviated CD), a similar approach in which software fun... | large_corpus_distillation |
"Performance paradox-Performance appraisals-These four measures extract important information about employees using performance evaluations. However, a rising market in the design of performance assessment has led to a system overload of even more evaluation measures. Having so many measures of evaluation and consequen... | large_corpus_distillation |
"Inverse limit-Examples-The ring of p-adic integers is the inverse limit of the rings Z/pnZ (see modular arithmetic) with the index set being the natural numbers with the usual order, and the morphisms being \"take remainder\". That is, one considers sequences of integers (n1,n2,\u2026) such that each element of the ... | large_corpus_distillation |
precision, ~8 digits). Rescaling the time by the number of operations, this corresponds roughly to a speedup factor of around 800,000. (To put the time for the hand calculation in perspective, 140 minutes for size 64 corresponds to an average of at most 16 seconds per floating-point operation, around 20% of which are m... | large_corpus_distillation |
still excessive irrespective of what algorithm is used for the identification." | large_corpus_distillation |
"Factorization-Integers-As 72 > 11, one has finished. Thus 11 is prime, and the prime factorization is1386 = 2 \u00b7 32 \u00b7 7 \u00b7 11." | large_corpus_distillation |
through the application of natural processes found in certain organisms. However, as humans do not have the means to apply this to themselves, they have to use other ways to reach the maximum lifespan for a human, such as calorie reduction, dieting, and exercise.As of 2022, a total of 109 billion humans have died, or r... | large_corpus_distillation |
"Needham\u2013Schroeder protocol-The symmetric protocol-Here, Alice (A) initiates the communication to Bob B . S is a server trusted by both parties. In the communication: A and B are identities of Alice and Bob respectively KAS is a symmetric key known only to A and S KBS is a symmetric key known only to B and ... | large_corpus_distillation |
on other components of the syntactic structure, or the lexical interpretation. In particular, government categories, given through classifications in the Lexical Word Ordering and contained in the marking structure, are crucial to identifying the values of the complement functions relative to the syntactic quadruple. T... | large_corpus_distillation |
"Garbled circuit-Optimization-Free XOR In this optimization, Alice generates a global random (k-1)-bit value R which is kept secret. During the garbling of the input gates wa and wb , she only generates the labels (X0a,X0b) and computes the other labels as X1a=X0a\u2295(R\u22251) and X1b=X0b\u2295(R\u22251) . Usi... | large_corpus_distillation |
"Ring of mixed characteristic-Examples-The integers Z have characteristic zero, but for any prime number p , Fp=Z/pZ is a finite field with p elements and hence has characteristic p The ring of integers of any number field is of mixed characteristic Fix a prime p and localize the integers at the prime ideal (p). T... | large_corpus_distillation |
"Von Neumann paradox-Sketch of the method-At this point we can apply the method of the Cantor-Bernstein-Schroeder theorem. This theorem tells us that if we have an injection from set D to set E (such as from the big figure to the A type points in it), and an injection from E to D (such as the identity mapping from the ... | large_corpus_distillation |
"Scalar projection-Definition in terms of a and b-When \u03b8 is not known, the cosine of \u03b8 can be computed in terms of a and b, by the following property of the dot product a\u22c5b cos \u2061\u03b8 By this property, the definition of the scalar projection s becomes: cos \u2061\u03b8=\u2016a\u2016a\u22c5b\u... | large_corpus_distillation |
"Gigatron TTL-Architecture-The CPU is implemented through a small set of TTL 7400 series chips, running at 6.25 MHz base clock rate, that can be overclocked by providing better chips. RAM can also be increased in the same way.\nThree CPU modes are implemented: 8-bit native assembly code, that implements a Harvard archi... | large_corpus_distillation |
"Huffman coding-Variations-Huffman coding with unequal letter costs is the generalization without this assumption: the letters of the encoding alphabet may have non-uniform lengths, due to characteristics of the transmission medium. An example is the encoding alphabet of Morse code, where a 'dash' takes longer to send ... | large_corpus_distillation |
"Three-Dimensional Gradients and Directional Derivatives\nThe definition of a gradient can be extended to functions of more than two variables.\n\uf303 Definition: Gradients in 3D\nLet w=f(x,y,z) be a function of three variables such that f x , f y, and f z exist. The vector \u2207\u21c0f(x,y,z) is called the gradient ... | large_corpus_distillation |
"Enumeration-Set theory-Since set theorists work with infinite sets of arbitrarily large cardinalities, the default definition among this group of mathematicians of an enumeration of a set tends to be any arbitrary \u03b1-sequence exactly listing all of its elements. Indeed, in Jech's book, which is a common reference ... | large_corpus_distillation |
"Stack trace-Language support-Many programming languages, including Java and C#, have built-in support for retrieving the current stack trace via system calls. Before std::stacktrace was added in standard library as a container for std::stacktrace_entry, pre-C++23 has no built-in support for doing this, but C++ users c... | large_corpus_distillation |
"Counting sort-Input and output assumptions-In the most general case, the input to counting sort consists of a collection of n items, each of which has a non-negative integer key whose maximum value is at most k." | large_corpus_distillation |
"NEC e616-Media-Wallpapers The screen size of the e616 is 176x240 pixels, but the wallpaper should be restricted to 176x200 pixels to allow for the status bar at the top and the menu bar at the bottom of the screen.\nRingtones The NEC e616 supports polyphonic ringtones." | large_corpus_distillation |
"Digital security-Vulnerabilities and attacks-Reverse engineering Reverse engineering is the process by which a man-made object is deconstructed to reveal its designs, code, and architecture, or to extract knowledge from the object; similar to scientific research, the only difference being that scientific research is a... | large_corpus_distillation |
some problems as an error function. First, the function will not be smooth (differentiable) at points where\ntwo lines of different slopes meet. More importantly, the values that minimize mae may occupy an entire interval, thus leaving us\nwithout a unique measure of center. The error function exercises below will show... | large_corpus_distillation |
"KK thesis-KK thesis-The KK thesis or KK principle is a principle of epistemic logic which states that \"If you know that P is the case then you know that you know that P is the case.\" This means that one cannot know that P is, if one does not know whether one's knowledge of P is correct. Its application in science ca... | large_corpus_distillation |
"No\u2013no paradox-Formulation-The notion of truth seems to be governed by the naive schema: (T): The sentence ' P ' is true if and only if P(where we use single quotes to refer to the linguistic expression inside the quotes). Consider however the two sentences: (N1): (N2) is not true(N2): (N1) is not trueReasoning in... | large_corpus_distillation |
"Differential-linear attack-Differential-linear attack-The attack utilises a differential characteristic over part of the cipher with a probability of 1 (for a few rounds\u2014this probability would be much lower for the whole cipher). The rounds immediately following the differential characteristic have a linear appro... | large_corpus_distillation |
"Convolutional code-Turbo codes: replacing convolutional codes-Simple Viterbi-decoded convolutional codes are now giving way to turbo codes, a new class of iterated short convolutional codes that closely approach the theoretical limits imposed by Shannon's theorem with much less decoding complexity than the Viterbi alg... | large_corpus_distillation |
"Ramer\u2013Douglas\u2013Peucker algorithm-Complexity-The running time of this algorithm when run on a polyline consisting of n \u2013 1 segments and n vertices is given by the recurrence T(n) = T(i + 1) + T(n \u2212 i) + O(n) where i = 1, 2,..., n \u2212 2 is the value of index in the pseudocode. In the worst case, i ... | large_corpus_distillation |
"Spliceosome-History-In 1977, work by the Sharp and Roberts labs revealed that genes of higher organisms are \"split\" or present in several distinct segments along the DNA molecule. The coding regions of the gene are separated by non-coding DNA that is not involved in protein expression. The split gene structure was f... | large_corpus_distillation |
"3.9" | large_corpus_distillation |
"Legendre transformation-Further properties-Scaling properties The Legendre transformation has the following scaling properties: For a > 0, It follows that if a function is homogeneous of degree r then its image under the Legendre transformation is a homogeneous function of degree s, where 1/r + 1/s = 1. (Since f(x) = ... | large_corpus_distillation |
or horizontal movement. The fuzes fully armed themselves approximately 30 seconds after hitting the ground. Subsequently, if the bomb was moved in any way, the mercury switch triggered detonation. To complicate matters still further, German bombs could have two separate fuze pockets fitted, with different fuze types sc... | large_corpus_distillation |
explained some of the perceived issues with the Linux kernel's user-space API, describing that it contains multiple design errors by being non-extensible, unmaintainable, overly complex, of limited purpose, in violation of standards, and inconsistent. Most of those mistakes cannot be fixed because doing so would break ... | large_corpus_distillation |
that AI would have to reflect on its own actions, which requires counterfactual (and therefore causal) reasoning." | large_corpus_distillation |
"Categorial grammar-Refinements of categorical grammar-A variety of changes to categorial grammar have been proposed to improve syntactic coverage. Some of the most common are listed below." | large_corpus_distillation |
"Numerical methods for linear least squares-Discussion-The numerical methods for linear least squares are important because linear regression models are among the most important types of model, both as formal statistical models and for exploration of data-sets. The majority of statistical computer packages contain faci... | large_corpus_distillation |
"Recursive tree-Properties-The number of size-n recursive trees is given by Tn=(n\u22121)!.\nHence the exponential generating function T(z) of the sequence Tn is given by log \u2061(11\u2212z).\nCombinatorically, a recursive tree can be interpreted as a root followed by an unordered sequence of recursive trees. Let F d... | large_corpus_distillation |
"Positive polynomial-Examples of positivstellensatz (and nichtnegativstellensatz)-A real polynomial in n variables is non-negative on \u211dn if and only if it is a sum of squares of real rational functions in n variables (see Hilbert's seventeenth problem and Artin's solution).\nSuppose that p \u2208 \u211d[X1, ..., X... | large_corpus_distillation |
map bounded parameter values to bounded parameter values by a computable function.Polynomial-time parsimonious reductions are a special case of a more general class of reductions for counting problems, the polynomial-time counting reductions.One common technique used in proving that a reduction R is parsimonious is to... | large_corpus_distillation |
"Manual testing-Overview-Testing can be further divided into functional and non-functional testing. In functional testing the tester would check the calculations, any link on the page, or any other field which on given input, output may be expected. Non-functional testing includes testing performance, compatibility and... | large_corpus_distillation |
"Flood Modeller-Flood Modeller-Flood Modeller is a computer program developed by Jacobs that simulates the flow of water through river channels, urban drainage networks and across floodplains using a range of one- and two-dimensional hydraulic solvers. The software incorporates a user interface for building, running an... | large_corpus_distillation |
local minima or maxima. Finding an arbitrary local minimum is relatively straightforward by using classical local optimization methods. Finding the global minimum of a function is far more difficult: analytical methods are frequently not applicable, and the use of numerical solution strategies often leads to very hard ... | large_corpus_distillation |
two vectors so they have\nthe same initial point, and then we draw a parallelogram with the vectors as two adjacent sides, as in Figure 12.1.4(b). The length\nof the diagonal of the parallelogram is the sum. Comparing Figure 12.1.4(b) and Figure 12.1.4(a), we can see that we get the same\nanswer using either method. Th... | large_corpus_distillation |
"Silhouette (clustering)-Definition-We now define a silhouette (value) of one data point i max {a(i),b(i)} , if |CI|>1 and s(i)=0 , if |CI|=1 Which can be also written as: if if if a(i)>b(i) From the above definition it is clear that \u22121\u2264s(i)\u22641 Note that a(i) is not clearly defined for clusters with ... | large_corpus_distillation |
"Course-of-values recursion-Course-of-values recursion-In computability theory, course-of-values recursion is a technique for defining number-theoretic functions by recursion. In a definition of a function f by course-of-values recursion, the value of f(n) is computed from the sequence \u27e8f(0),f(1),\u2026,f(n\u2212... | large_corpus_distillation |
"\u222b9yg(y)dy= 7\n3.\n0 3\n\u222b3 x2f(x)dx= 7\n4.\n\u22121 3\nThe discrete uniform distribution and the continuous uniform distribution are studied in more detail in the chapter on Special Distributions.\nDice\nRecall that a standard die is a six-sided die. A fair die is one in which the faces are equally likely. An... | large_corpus_distillation |
names for it, like kernel or factor) consists of the set of vectors that factor out." | large_corpus_distillation |
domain and range of (g\u2218f)(x).\nc. Evaluate (f\u2218f)(3),(f\u2218f)(1).\nd. State the domain and range of (f\u2218f)(x).\nSolution:\n1. (g\u2218f)(3)=g(f(3))=g(\u22122)=0\n(g\u2218f)(0)=g(4)=5\n2.The domain of g\u2218f is the set {\u22123,\u22122,\u22121,0,1,2,3,4} .Since the range of f is the set {\u22122,0,2,4},... | large_corpus_distillation |
"Eigendecomposition of a matrix-Numerical computations-In practice, eigenvalues of large matrices are not computed using the characteristic polynomial. Computing the polynomial becomes expensive in itself, and exact (symbolic) roots of a high-degree polynomial can be difficult to compute and express: the Abel\u2013Ruff... | large_corpus_distillation |
"Offensive programming-Offensive programming-Offensive programming is a name used for the branch of defensive programming that expressly departs from defensive principles when dealing with errors resulting from software bugs. Although the name is a reaction to extreme interpretations of defensive programming, the two a... | large_corpus_distillation |
"PAM library-PAM library-PAM (Parallel Augmented Maps) is an open-source parallel C++ library implementing the interface for sequence, ordered sets, ordered maps, and augmented maps. The library is available on GitHub. It uses the underlying balanced binary tree structure using join-based algorithms. PAM supports four ... | large_corpus_distillation |
"Telegraph code-Manual telegraph codes-Transmission speed The speed of sending in a manual telegraph is limited by the speed the operator can send each code element. Speeds are typically stated in words per minute. Words are not all the same length, so literally counting the words will get a different result depending ... | large_corpus_distillation |
"Proof of work-Variants-There are two classes of proof-of-work protocols." | large_corpus_distillation |
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