However, the system is designed, ingeniously and hopefully, so that no one man could initiate a thermonuclear war.

However, if there is no additional complex of singular lines, the order of the image regulus of a pencil is precisely Af.

However, there was no real question of the justice of creating a strong Poland, both industrially and agriculturally, and one unplagued by large minorities of Germans or Russians.

However, the leveling operation can be maintained and controlled remotely with no mechanical or optical contact with the platform.

However, this inaugural feast did its sponsors no good whatever.

However, one can argue that no such control is necessary as long as one pretends that the anti-trust laws are effective and rational.

However, no diagram of her brain patterns, no early I.Q. tests recorded certain essential facts about Helva that Central must eventually learn.

However, since no equipment existed to show the images in motion, such a series of images cannot be called animation in a true sense of the word .< ref >

However, no direct connection can be demonstrated, and the similarity of the abaci may be coincidental, both ultimately arising from counting with five fingers per hand.

However, the hydrogen-1 atom has no neutrons and a positive hydrogen ion has no electrons.

However, there is no evidence to support this practice and it may in fact delay healing.

However, no comprehensive environmental protection program has emerged, and decisions on environmental policy have been made on an ad hoc basis.

However, no new edition was released before Guardians of Order went out of business in 2006.

However, there is no one-to-one correspondence between words in ASL and English, and the inflectional modulation of ASL signs — a dominant part of the grammar — is lost.

However, there is no evidence that his son and ultimate successor, Constantius II, who was an Arian Christian, was exiled.

However, no incidents of violence against spring breakers were reported.

However, no Hermunduri appear in Ptolemy, though after the time of Ptolemy the Hermunduri joined with the Marcomanni in the wars of 166 – 180 against the empire.

However this leaves no prize for herself.

However, according to Josephus, in Antiquities, Book 7, Chapter 1, Joab had forgiven Abner for the death of his brother, Asahel, the reason being that Abner had slain Asahel honorably in combat after he had first warned Asahel and had no other choice but to kill him out of self defense.

However, there are no known year-names or other archaeological evidence verifying any of these later kings of Akkad or Uruk, apart from a single artifact referencing king Dudu of Akkad.

However, Wolfram points out that at the time " Clovis got no farther than the Seine ; only after several more years did the Franks succeed in occupying the rest of the Gallo-Roman buffer state north of the Loire.

However, he became gravely ill during the 1918 flu pandemic and, since Spain was neutral and thus under no wartime censorship restrictions, his illness and subsequent recovery were covered worldwide, giving the false impression ( in the absence of real news from anywhere else ) that Spain was the most-affected area.

However, much to his professional detriment, Lavoisier discovered no new substances, devised no really novel apparatus, and worked out no improved methods of preparation.

However, the algorithm can be improved by adopting the method of the assumed mean.

However the efficiencies of any two " reasonable " implementations of a given algorithm are related by a constant multiplicative factor called a hidden constant.

However, consider the short but never halting algorithm which systematically lists and runs all possible programs ; whenever one of them halts its probability gets added to the output ( initialized by zero ).

However, the condition number does not give the exact value of the maximum inaccuracy that may occur in the algorithm.

However it does not mean that the algorithm will converge rapidly to this solution, just that it won't diverge arbitrarily because of inaccuracy on the source data ( backward error ), provided that the forward error introduced by the algorithm does not diverge as well because of accumulating intermediate rounding errors.

However, if the shape is complex with many features, the algorithm spends a large amount of time tracing the edges of the region trying to ensure that all can be painted.

However, this is not the case with a special-purpose factorization algorithm, since it may not apply to the smaller factors that occur during decomposition, or may execute very slowly on these values.

However selecting and tuning an algorithm for training on unseen data requires a significant amount of experimentation.

However, this is not a polynomial time algorithm because the number of digits in the solution may be as large as √ n, far larger than a polynomial in the number of digits in the input value n.

However, a quantum computer can compute the answer to some of these problems in polynomial time ; one well-known example of this is Shor's factoring algorithm.

However, there exist many specially arranged city distributions which make the NN algorithm give the worst route ( Gutin, Yeo, and Zverovich, 2002 ).

However, the CSS algorithm seems to require more characters to describe in a computer programming language than the RSA algorithm ; one of the shortest implementations of DeCSS ( called " efdtt ") is 434 bytes.

However, Shor's algorithm shows that factoring is efficient on a quantum computer, so a sufficiently large quantum computer can break RSA.

However, the reverse algorithm suffers from many of the same problems as the standard version.

However, they are not expected to take as long as the previous projects due to the discovery of an improved algorithm.

However, these other algorithms can also find minimum spanning forests of disconnected graphs, while Prim's algorithm requires the graph to be connected.

However, even smartly implemented on the fastest computer now available, this algorithm provides no way of effectively computing solutions for large numbers of disks ; the program would require more time and memory than available.

However, if the set of numbers ( called the knapsack ) is superincreasing — that is, each element of the set is greater than the sum of all the numbers before it — the problem is ' easy ' and solvable in polynomial time with a simple greedy algorithm.

However, since for many non-trivial games such an algorithm would require an infeasible amount of time to generate a move in a given position, a game is not considered to be solved weakly or strongly unless the algorithm can be run by existing hardware in a reasonable time.

However, the question has arisen whether an algorithm should be used to determine in what order to connect the dots to maintain the " automatic " nature of the method.

However, it can be used as a model to construct an algorithm for taking half of any number N in any even base.

However, its name makes sense when we compare LDA to the other main linear dimensionality reduction algorithm: Principal Components Analysis ( PCA ).