However, if their United States income is not subject to the withholding of tax on wages, their returns are due June 15, 1962, if they use a calendar year, or the 15th day of the 6th month after the close of their fiscal year.

However, whether you arrange to have a European or American model, if you rent a car with the proper seating capacity in relation to the number of people in your party, your transportation expense will average very close to $10.00 per day per passenger.

However, if these procedures are applied more often, conditioned emotional responses are temporarily abolished.

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

However, if Federal funds are used, it would be entirely appropriate to train workers for jobs which could be obtained elsewhere as well as for jobs in the area of chronic unemployment.

However, this difficulty is not too serious if it is realized that a surveying team can establish a true north base line with a few days' work.

However, the teacher can only go so far if the attitude of the community and the family is anti-intellectual.

However, if the child has been constantly surrounded, during nursery and early school age, by peer groups ; ;

However, it was virtually impossible to screen the mob outside, even if Bonner had manpower available for the purpose.

However, three of the managers did say that they would agree to attend the proposed meeting if all of the other managers decided to attend.

However, even if the latent demand for demythologization is not nearly as widespread as we are claiming, at least among the cultured elements of the population there tends to be an almost complete indifference to the church and its traditional message of sin and grace.

However, the opposite can also be true-An opponent can turn a positive statement into a bad one, if the speaker uses ambiguity ( intentionally or not ).

However, it was held by the Supreme Court that an affidavit can be used as an evidence only if the Court so orders for sufficient reasons.

However Juhanen ( 1992 ) is skeptical about an affiliation of Japanese to Altaic languages, while Róna-Tas ( 1998: 77 ) remarked that a relationship between Altaic and Japanese, if it ever existed, must be more remote than the relationship of any two of the Indo-European languages.

However Abdul is a common Arabic prefix meaning " Servant of the " and " Al " is Arabic for " the ", and if " hazra " means " he prohibited ", " he fenced in " or " Great Lord ", then the name would mean " Servant of the Prohibited ", " Servant of the Fenced in ", or " Servant of the Great Lord " which would make sense considering his role, even if it is not a proper Arabic name.

However, if the steel is cooled quickly the carbon atoms will not have time to precipitate.

However, if the excited atom has been previously ionized, in particular if one of its inner shell electrons has been removed, a phenomenon known as the Auger effect may take place where the quantity of energy is transferred to one of the bound electrons causing it to go into the continuum.

However, there are certain limitations: they may not administer the sacraments and related functions whose celebration is reserved to bishops, priests, deacons, or seminarians ( the male clergy ), namely, Holy Orders ( they may make provision for an ordained cleric to help train and to admit some of their members, if needed, as altar servers, Eucharistic ministers, or lectors-the minor ministries which are now open to the non-ordained ).

However, if one now writes down the Hamiltonian

However, this is not required ; endothermic reactions can proceed spontaneously if the TΔS term is large enough.

However, if we look for the peoples in the region from the upper Main in the north, south to the Danube and east to the Czech Republic where the Quadi and Marcomanni were located, Ptolemy does not give any tribes.

However we are told by Longinus that Ammonius wrote nothing, and if Ammonius was the principal influence on Plotinus, then it is unlikely that Ammonius would have been a Christian.

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 ).