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Page "Minor (linear algebra)" ¶ 22
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If and all
He said: `` If it's all right with you, Mr. Morgan, I'll sleep out here on the couch.
If, when this was all over, she found the words to tell him about it, she wondered if he would ever understand.
If I hadn't got Nate stopped when I did, my duds'd all be shot plumb to hell!!
`` If Blue Throat has his way he'll keep us all cooped up in here for days '', he said.
If communications work, his decision would be instantly known in all command posts that would originate the actual go order.
If the Union conceded this to them, the same right must be conceded to each remaining state whenever it saw fit to secede: This would destroy the federal balance between it and the states, and in the end sacrifice to the sovereignty of the states all the liberty the citizens had gained by their Union.
If there were only darkness, all would be clear.
If there were only the mess, all would be clear ; ;
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.
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 one finger is raised against the authorities, all our moral power will vanish.
If, as Reid says, `` nearly all his poetry was produced when he was not taking opium '', there may be some reason to doubt that he was under its influence in the period from 1896 to 1900 when he was writing the poems to Katie King and making plans for another book of verse.
`` If once they become inattentive to the public affairs '', Jefferson said, `` you and I, and Congress and assemblies, judges and governors, shall all become wolves ''.
If it will simply delay the debates until the qualifications are closed next spring, and then carry all the candidates on a tour of debates, it can provide a service to the state.
If the President of the United States really feels he won himself a `` lousy job '', then heaven help us all.
If we go all gooey over this newest Castro ( until he proves he isn't ) we've got rocks in our heads.
`` If the day should ever come that foreign invaders swarm ashore along the Gulf Coast '', the account reads, `` they can count on heavy opposition from a group of commando-trained telephone employees -- all girls.
If we grasp this orientation as a key, our national conduct in all of the events here mentioned becomes intelligible.
If it is not enough that all of our internationalist One Worlders are advocating that we join this market, I refer you to an article in the New York Times' magazine section ( Nov. 12, 1961 ), by Mr. Eric Johnston, entitled `` We Must Join The Common Market ''.
If Joe doesn't show up, we'll all be back here at 0600 hours.
If we could use all the small airfields we have in this country, we could disperse our strategic aircraft by a factor of 10 or more.
If the points aren't thrown all the way, the Turnout cannot be locked, and in turn, the signal cannot be cleared.
If you have a 6- to 8-inch drain pipe, you may easily wash out all the debris when the grate is out.

If and square
If clay is slightly out of shape, square straight sides with guide sticks or rulers pressed against opposite sides, or smooth round pieces with damp fingers.
If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.
If they don't then for the algorithm to be effective it must provide a set of rules for extracting a square root.
If it were square, would you make it round?
If the square mile is divided into quarters, each quarter has a side length of mile ( 880 yards ) and is square mile in area, or 160 acres.
Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.
If F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.
If the mark is encountered again and the painter is traveling in the same direction, then the painter knows that it is safe to paint the square with the mark and to continue in the same direction.
If a player's piece lands on a square containing an opponent's piece, the opponent's piece is captured and returns to the starting area.
If the surface of concentric sphere shells were considered, the number of stars on each shell would be proportional to the square of the radius of the shell.
If E < sub > i </ sub > is a sine wave, triangular wave, or wave of any other shape that is symmetrical around zero, the zero-crossing detector's output will be square.
The algorithm for deciding this is conceptually simple: it constructs ( the description of ) a new program t taking an argument n which ( 1 ) first executes program a on input i ( both a and i being hard-coded into the definition of t ), and ( 2 ) then returns the square of n. If a ( i ) runs forever, then t will never get to step ( 2 ), regardless of n. Then clearly, t is a function for computing squares if and only if step ( 1 ) terminates.
If either the 2nd player chooses to move to the square diagonal to the first player or the first player's 2nd move is not to this square given the choice, then a starting position before flipping moves commence that differs from the standard Othello position arises.
If this is around 1 the engine is said to be " square ", if it is greater than 1, i. e. the bore is larger than the stroke, it is " oversquare ".
If the quantity under the square root ( the discriminant ) is negative, then the ray does not intersect the sphere.
* If A is a square matrix ( i. e., m = n ), then A is invertible if and only if A has rank n ( that is, A has full rank ).
If the material superconducts in the absence of a field, then the superconducting phase free energy is lower than that of the normal phase and so for some finite value of the magnetic field ( proportional to the square root of the difference of the free energies at zero magnetic field ) the two free energies will be equal and a phase transition to the normal phase will occur.
( If one of the basic hand-shape glyphs is used, such as the simple square or circle, this band breaks it in two ; however, if there are lines for fingers extended from the base, then they become detached from the base, but the base itself remains intact.
If a piece falls into the center square, the game is over.
* If a piece is pushed right next to the center square, it immediately disappears.
If the strategy ever called for moving on the square already chosen, the first player can then make another arbitrary move.
If, on completion of a move, a player's token lands on the lower-numbered end of a " ladder ", the player moves his token up to the ladder's higher-numbered square.
If he lands on the higher-numbered square of a " snake " ( or chute ), he must move his token down to the snake's lower-numbered square.

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