Help


[permalink] [id link]
+
Page "Matrix multiplication" ¶ 128
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Since and any
Since more is known about Quiney than about any other acquaintance of Shakespeare in Stratford, his career may be followed to its sudden end in 1602.
Since she could not act, one part suited her as well as any other, and so she was the first person to offer Mr. Lincoln a glass of water, holding it up to the box, high above her head, to Miss Harris, who had asked for it.
Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.
Says NRLDA's James Wright: `` Since 1958 carriers that move material from the yard to the job site have undergone more radical changes than any of the dealer's other equipment ''.
Since Af is ferromagnetic, we felt that any results obtained from the magnetically contaminated Af would be suspect.
Since a Skeletal Age rating can be made at any age during growth, from Elbow, Shoulder, Knee, or Foot as well as Hand, it seems to be the method of choice when one wishes to study most aspects of skeletal developmental progress during childhood.
Since the psychiatric interview, like any other interview, depends on communication, it is significant to note that the therapist in this interview was a man of marked skill and long experience.
Since the 1946 disaster there have been 15 tsunami in the Pacific, but only one was of any consequence.
Since the widespread adoption of digital setting circles, any classical engraved setting circle is now specifically identified as an " analog setting circle " ( ASC ).
Since the time of Catherine II the ranks of Abbot and Archimandrite have been given as honorary titles in the Russian Church, and may be given to any monastic, even if he does not in fact serve as the superior of a monastery.
Since this holds true when performing addition on any real numbers, we say that " addition of real numbers is an associative operation.
Since this process does not involve any heat transfer or work, the First Law of Thermodynamics then implies that the net internal energy change of the system is zero.
Since the implementation of the Statute of Westminster 1931 in each of the Commonwealth realms ( on successive dates from 1931 onwards ), the Act of Settlement cannot be altered in any realm except by that realm's own parliament and, by convention, only with the consent of all the other realms, as it touches on the succession to the shared throne.
Since John Wesley ordained and sent forth every Methodist preacher in his day, who preached and baptized and ordained, and since every Methodist preacher who has ever been ordained as a Methodist was ordained in this direct " succession " from Wesley, then the Methodist Church teaches that it has all the direct merits coming from apostolic succession, if any such there be.
Since the New Testament never counters this instrumental language with any negative judgment on instruments, opposition to instruments instead comes from an interpretation of history.
Since the New Testament never condemns instruments themselves, much less in any of these settings, it is conceded that “ the church Fathers go beyond the New Testament in pronouncing a negative judgment on musical instruments .”
Since the runner would now have been at second anyway, the passed ball no longer has any impact on the earned / unearned calculation.
Since inside pitching is a legitimate tactic in baseball, courts have recognized that being hit by a pitch is an inherent risk of the game, so that players cannot sue for any resulting injuries.
" Since no one in the raiding party is carrying any change, nor do they realize that there is nothing stopping them from simply riding around the tollbooth, Taggart sends someone back to town to " get a shitload of dimes ".
Since the publication of Nineteen Eighty-Four the phrase " Big Brother " has come into common use to describe any prying or overly-controlling authority figure, and attempts by government to increase surveillance.
Since these are a basis, any quantum state of the particle can be expressed as a linear combination ( i. e., quantum superposition ) of these two states:
Since it is physically impossible for any Swedish town to face Jumne, the latter being situated along River Oder, Adam's statement is probably a misunderstanding.
Since the late nineteenth century, the South used a colloquial term, the one-drop rule, to classify as black a person of any known African ancestry.
Since the award criteria state that the Bronze Star Medal may be awarded to " any person ... while serving in any capacity in or with " the U. S. Armed Forces, awards to members of foreign armed services serving with the United States are permitted.

Since and algorithm
Since algorithms are platform-independent ( i. e. a given algorithm can be implemented in an arbitrary programming language on an arbitrary computer running an arbitrary operating system ), there are significant drawbacks to using an empirical approach to gauge the comparative performance of a given set of algorithms.
Since the reference model given for traffic policing in the network is the GCRA, this algorithm is normally used for shaping as well, and single and dual leaky bucket implementations may be used as appropriate.
Since the desired effect is computational difficulty, in theory one would choose an algorithm and desired difficulty level, thus decide the key length accordingly.
The proof of this fact relies on an algorithm which, given the first n digits of Ω, solves Turing's halting problem for programs of length up to n. Since the halting problem is undecidable, Ω can not be computed.
Since the invention of the MIDI system in the early 1980s, for example, some people have worked on programs which map MIDI notes to an algorithm and then can either output sounds or music through the computer's sound card or write an audio file for other programs to play.
Since the algorithm ensures that the remainders decrease steadily with every step, r < sub > k − 1 </ sub > is less than its predecessor r < sub > k − 2 </ sub >.
Since the remainders decrease with every step but can never be negative, a remainder r < sub > N </ sub > must eventually equal zero, at which point the algorithm stops.
Since the last remainder is zero, the algorithm ends with 21 as the greatest common divisor of 1071 and 462.
Since the inverse DFT is the same as the DFT, but with the opposite sign in the exponent and a 1 / N factor, any FFT algorithm can easily be adapted for it.
Since 1968, however, the lowest published count for power-of-two was long achieved by the split-radix FFT algorithm, which requires real multiplications and additions for.
Since NC contains NL, it is also unknown whether a space-efficient algorithm for computing the GCD exists, even for nondeterministic Turing machines.
Since the late 1990s, bzip2, a file compression utility based on a block-sorting algorithm, has gained some popularity as a gzip replacement.
Since a paper describing the algorithm had been published in August 1977, prior to the December 1977 filing date of the patent application, regulations in much of the rest of the world precluded patents elsewhere and only the US patent was granted.
Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.
Since PHP 5. 3, it implements the algorithm from Bacon's above mentioned paper.
Since IBM's implementation, several other groups have implemented Shor's algorithm using photonic qubits, emphasizing that entanglement was observed.
Since the parsing algorithm makes intelligent use of layout ( indentation ), there is rarely a need for bracketing statements and no statement terminators are required.
Since the eigenvalues of this matrix coincide with the roots of the polynomial, one can use any eigenvalue algorithm to find the roots of the polynomial.
Since the minimax algorithm and its variants are inherently depth-first, a strategy such as iterative deepening is usually used in conjunction with alpha-beta so that a reasonably good move can be returned even if the algorithm is interrupted before it has finished execution.
Since the finalisation of MPEG-1 Audio and MPEG-2 Audio ( in 1992 and 1994 ), the original MUSICAM algorithm is not used anymore.
Since drawing proceeds from back to front with closer objects simply overwriting farther ones, the process is known as employing the Painter's algorithm.
Since the only known way to solve that problem is to factor the modulus, it is generally regarded that the difficulty of integer factorization provides a conditional security proof for the Blum Blum Shub algorithm.
Since a D & C algorithm eventually reduces each problem or sub-problem instance to a large number of base instances, these often dominate the overall cost of the algorithm, especially when the splitting / joining overhead is low.

0.498 seconds.