If you've got any ideas ''.

If she sensed any unusual preoccupation on the part of her mother, she did not comment upon it.

If any of us miss, they can pick up the pieces.

If the old fool argues about the price, tell him I shall order my husband not to treat him as a patient any longer.

If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

If any had escaped expulsion by hiding, they certainly would not frequent the market-place.

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 `` Jack the Courtier '' is really to be taken as Swift, the following remark is obviously Steele's comment on Swift's change of parties and its effect on their friendship: `` I assure you, dear Jack, when I first found out such an Allay in you, as makes you of so malleable a Constitution, that you may be worked into any Form an Artificer pleases, I foresaw I should not enjoy your Favour much longer ''.

If she wanted to borrow any sum of money in expecting the arrangements of Congress, it would not become a stranger, unknown to her, to offer himself for that purpose.

If any one of them has any power to veto the Secretary General's decisions the nature of the organization will have changed.

Mr. Richard Preston, executive director of the New Hampshire State Planning and Development Commission, in his remarks to the Governors Conference on Industrial Development at Providence on October 8, 1960, warned against the fallacy of attempting to attract industry solely to reduce the tax rate or to underwrite municipal services such as schools when he said: `` If this is the fundamental reason for a community's interest or if this is the basic approach, success if any will be difficult to obtain ''.

If an atom bomb in 1945 could destroy an entire city surely the atomic arsenal we now have is more than adequate to fulfill any military objective required of it.

If any are left, presently, we may expect to see signs specifically prohibiting the feeding of them too.

The Vice President said, `` If you hear of any names that would fix me cheap in return for advertising they decorated the Vice President's home, let me know.

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 he bothers you, don't pay him any mind.

If, in the trustee's judgment, `` reasonable market conditions '' did not prevail during any given year, he was to be allowed to petition the court for an extension of time within the ten-year period.

If any official operation abroad begins to go wrong, we shall look to the ambassador to find out why and to get suggestions for remedial action.

If you use a fiscal year, a year ending on the last day of any month other than December, your return is due on or before the 15th day of the 4th month after the close of your tax year.

If the last day ( due date ) for performing any act for tax purposes, such as filing a return or making a tax payment, etc., falls on Saturday, Sunday, or a legal holiday, you may perform that act on the next succeeding day which is not a Saturday, Sunday, or legal holiday.

If you file Form 1040A and the District Director computes your tax, any refund to which you are entitled will be mailed to you.

If you have neither a legal residence nor a principal place of business in any Internal Revenue district, your return should be filed with the District Director of Internal Revenue, Baltimore 2, Md..

If your principal place of abode for the tax year is outside the United States ( including Alaska and Hawaii ), Puerto Rico, or the Virgin Islands and you have no legal residence or principal place of business in any Internal Revenue district in the United States, you should file your return with the Office of International Operations, Internal Revenue Service, Washington 25, D.C..

If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.

If numerical iterative methods have to be employed, the aim is to iterate until full machine accuracy is obtained ( the best that is possible with a finite word length on the computer, and within the mathematical and / or physical approximations made ).

If we consider the thesis and its converse as definition, then the hypothesis is an hypothesis about the application of the mathematical theory developed from the definition.

If a mathematical function is used to represent the production function, and if that production function is homogeneous, returns to scale are represented by the degree of homogeneity of the function.

If one agrees that set theory is an appealing foundation of mathematics, then all mathematical objects must be defined as sets of some sort.

If a mathematical surface can be intersected by a ray, it can be rendered using ray casting.

If T is a theory whose objects of discourse can be interpreted as natural numbers, we say T is arithmetically sound if all theorems of T are actually true about the standard mathematical integers.

" If we mistakenly confuse precision with accuracy, then we might be misled into thinking that an explanation expressed in precise mathematical or graphical terms is somehow more rigorous or useful than one that takes into account particulars of history, institutions or business strategy.

If the two loose ends of an overhand knot are joined together ( without creating additional crossings ), this becomes equivalent to the trefoil knot of mathematical knot theory.

If mathematics is a part of logic, then questions about mathematical objects reduce to questions about logical objects.

If propositions are sets of possible worlds, however, then all mathematical truths are the same set ( the set of all possible worlds ).

If the names of the academic papers are reversed, they describe real mathematical events.

If modern mathematical practices are what distinguish modern professional mathematicians from older ideas of folk mathematics.

If mathematics has been informally used throughout history, in numerous cultures and continents, then it could be argued that " mathematical practice " is the practice, or use, of mathematics in everyday life.

If the first block has index 1, the mathematical formula for CBC encryption is

Describing this situation after many decades, Ambartsumian said, " If an astronomer publishes an article with a mathematical content in a physics journal, then the most likely thing that will happen to it is oblivion.

If Göttingen had been the “ Mecca ” of mathematics in the 1920s and early ‘ 30s, Princeton, following the decimation of German mathematics under the Nazis, had become the center of the mathematical world in the 1940s.

If one inserts a more realistic barrier model into the simplest form of the Schrödinger equation, then an awkward mathematical problem arises over the resulting differential equation: it is known to be mathematically impossible in principle to solve this equation exactly in terms of the usual functions of mathematical physics, or in any simple way.

If more exact values for v ( f ) are required, then provides formulae that give values for v ( f ) to an absolute mathematical accuracy of better than 8 × 10 < sup >− 10 </ sup >.

# If a human m is a sufficiently skillful mathematical logician ( equipped with a sufficiently powerful computer if necessary ) then if m is given L ( m ), he or she can construct T ( L ( m )) and

If an ideal, mathematical point source of light is placed on-axis in the input plane of the first lens, then there will be a uniform, collimated field produced in the output plane of the first lens.

If we define a decimal expansion such that some digit is dependent on some yet unsolved mathematical problem, we know beforehand that we cannot tell if this number is the same as some other decimal expansion which is independent of this problem.

If one is to use Gödel's technique to prove the proposition that T cannot prove, one must first prove ( the mathematical statement representing ) the consistency of T, a daunting and perhaps impossible task.

If you could see all your opponents ' cards, you would always be able to calculate the correct decision with mathematical certainty.