* If is the norm ( usually noted as ) defined in the square-summable sequence space ℓ < sup > 2 </ sup > ( which also matches the usual distance in a continuous and isotropic cartesian space ), then

* If is the norm ( usually noted as ) defined in the sequence space ℓ < sup >∞</ sup > of all bounded sequences ( which also matches the non-linear distance measured as the maximum of distances measured on projections into the base subspaces, without requiring the space to be isotropic or even just linear, but only continuous, such norm being definable on all Banach spaces ), and is lower triangular non-singular ( i. e., ) then

If the signal matches the desired user's code then the correlation function will be high and the system can extract that signal.

If the desired output values are often incorrect ( because of human error or sensor errors ), then the learning algorithm should not attempt to find a function that exactly matches the training examples.

If we see enough matches we say we've noticed a family resemblance.

If a player matches a combination according to the rules of the game, the slot machine pays the player cash or some other sort of value, such as extra games.

If, however, the referee is on the court during play, the referee may overrule the umpire's decision ( This would only happen in Davis Cup or Fed Cup matches, not at the World Group level, when a chair umpire from a non-neutral country is in the chair ).

If the color at a particular point on the screen matches ( either exactly, or in a range ), then the video at that point is replaced by the alternate background video.

If the translators correct the segmentations manually, later versions of the document will not find matches against the TM based on the corrected segmentation because the program will repeat its own errors.

If teams are ranked according to points scored, however, a team that knows it cannot hope to catch up to the winning team might favour quickly catching the Snitch ( also ending the game ) so as to end the game before any more points are scored and hence reduce the lead in point difference obtained by the winning team, so that it is easier to win them back in subsequent matches.

If Denmark had qualified, the organisers had planned to use the Idrætsparken in Copenhagen for Denmark's group matches.

If players want to play with a friend in ranked matches, Warcraft III offers " Arranged Team Games ", where a team joins a lobby and Battle. net will search for another team ; as with anonymous matchmaking, the enemy team is not known beforehand.

If only one other player is still in the hand, the other player simply matches the all-in ( retracting any overage if necessary ) and the hand is dealt to completion.

Elements of popular culture that appear as backdrops to the main story include the song " If I Were a Rich Man ", from Fiddler on the Roof ; a recorded orchestral performance of The Beatles ' song " Yesterday "; The Tonight Show Starring Johnny Carson ; and televised boxing matches.

If nothing matches, the default action, if there is one, is taken.

If the number of stones matches the other player's selection of " even " or " odd ," Player B will play the black stones ; if not, he / she will take the white stones.

If the stepping frequency matches the resonant frequency then the ringing increases and the motor loses synchronism, resulting in positional error or a change in direction.

If there are any matches for the user's search string, the next step is to request those files from the server.

If this card matches one of the known cards, the match is next chosen.

If the weight of a perfect matching that matches to is defined to be the product of the weights of the edges in the matching, then

If the code is changed, the calculation yields a result which no longer matches the original design of the game and the game plays improperly.

If the true spatial extent of activation, that is the spread of the cluster of voxels simultaneously active, matches the width of the filter used, this process improves the signal-to-noise ratio.

If it is putraparampara, a marriage is totally unacceptable even if one rishi matches .< sup > Provide Vepachedu's Sources -</ sup >

If the information obtained and analyzed with the system is used to create a product that matches or exceeds customer expectations, and the sales staff use the system to service customers more expertly and diligently, then customers should be more satisfied with the company.

* If, by mere coincidence, two matches cross each other and create a crucifix in an ashtray, then someone will die.

He said: `` If it's all right with you, Mr. Morgan, I'll sleep out here on the couch.

If we let them go, they won't stay away, they'll find men to ride with them and they'll be back.

He added, `` If this doesn't work out, the three of you barricade yourself in the house and talk terms with them ''.

If he showed signs of collecting his rifle and going back with his deputy to the ranch he would be shot down instantly.

If Franklin was an authentic genius, then Alexander Hamilton, with his exceptional precocity, consuming energy, and high ambition, was a political prodigy.

If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.

If we look at recent art we find it preoccupied with form.

If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??

If I now risk some comparisons with Sons And Lovers let it be clear that I am not comparing the two works or judging their merits ; ;

If he condemns the recent or the present, he condemns the past with no less force.

If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.

If Jews are identified as a religious body in a controversy that comes before a national or international tribunal, it is obviously compatible with the goal of human dignity to protect freedom of worship.

If art is to release us from these postulated things ( things we must think symbolically about ) and bring us back to the ineffable beauty and richness of the aesthetic component of reality in its immediacy, it must sever its connection with these common sense entities ''.

If it is not one of his best books, it can only be considered unsatisfactory when compared with his own Garibaldi.

If Woodruff could not furnish a strong explanation, the governor insisted that he lower his prices in accord with the scale printed in The Advocate.

If he borrowed money from Shakespeare or with his help, he would now have been able to repay the loan.

If the manner of his passing moves the nations to act in the spirit of his dedication the sore issues that plague the world can yet be resolved with reason and justice.

If the party of Adenauer and Erhart, with 45 per cent of the vote, approaches the party of Willy Brandt, which won 36 per cent, the result would be a stiffening of the old resolve.

If you're lyin' out in the hammock at night, and it gets kinda cool -- you know -- you just take these sides with the fringe on -- see -- and wrap 'em right over you.

If he can bounce back with one of those 25 home runs years, the club will have to be better off offensively.

If he can't play with Mommy's magazines, he should have some old numbers of his own.

If only this could be done more often -- with such heartening results -- many of the earth's `` big problems '' would shrink to the insignificances they really are.

If he were to go with White, he would be out there two days, not just listening in the dark at some point between here and Papa-san, but moving ever deeper into enemy land -- behind Papa-san -- itself.

If he had any worries, it was only the small ones, about Mother in New York, and his daughter Edwina and what she might be doing at this hour, with her Aunt Asia, in Philadelphia.

If we cluster together, the redcoats can make an advantage out of it, but there's not a blessed thing they can do with two or three of us except chase us, and we can outrun them ''.