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If and number
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 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 a nation wished to get a head start in physical fitness over all other nations, it would start its kindergarten students on a program of gymnastics the day they entered and thus eliminate a large number of the problems that plague American schools.
If no specific organization plan exists limiting the number of scientists at each salary level, the result is a department top-heavy with high-level, high-salaried personnel ''.
If we thus spent our very first day in the midst of a large number of your people honoring a new hero and a great national achievement, our last day, to us at least, was equally impressive and very moving, even though the crowds were absent and there was almost complete silence.
If a wedge-shaped coating of increasing thickness is removed from a substrate by an instrument like the Hesiometer with a knife of constant rake angle, a number of removal mechanisms are often observed which depend upon the thickness of the coating.
If all the operating variables were varied simultaneously, Af operations would be required to do the same job, and as R increases this increases very much more rapidly than the number of operations required by the dynamic program.
If Rock shows up during the number -- or you hear anything -- give me the signal ''.
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 so, it might be worth while to assign a future jazz show to a different department -- one with enough confidence in the musical material to cut down on the number of performers and give them a little room to display their talents.
* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.
If its minimal polynomial has degree, then the algebraic number is said to be of degree.
If K is a number field, its ring of integers is the subring of algebraic integers in K, and is frequently denoted as O < sub > K </ sub >.
* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )
If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).
If a ) testimonies conflict one another, b ) there are a small number of witnesses, c ) the speaker has no integrity, d ) the speaker is overly hesitant or bold, or e ) the speaker is known to have motives for lying, then the epistemologist has reason to be skeptical of the speaker's claims.
If we take in our hand any volume ; of divinity or school metaphysics, for instance ; let us ask, Does it contain any abstract reasoning concerning quantity or number?
If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.
If the two carbon atoms at the double bond are linked to a different number of hydrogen atoms, the halogen is found preferentially at the carbon with fewer hydrogen substituents ( Markovnikov's rule ).
If F is an antiderivative of f, and the function f is defined on some interval, then every other antiderivative G of f differs from F by a constant: there exists a number C such that G ( x ) = F ( x ) + C for all x.
If there is no number to its left, simply look at the column headed " 1 " in the previous row.
If the game has been scored correctly, the total number of plate appearances for a team should equal the total of that team's runs, men left on base, and men put out.
If the other player also knows to offer sacrifices, the expert also has to manipulate the number of available sacrifices through earlier play.

If and dies
If A taxpayer dies, the executor, administrator, or legal representative must file the final return for the decedent on or before the 15th day of the 4th month following the close of the deceased taxpayer's normal tax year.
If A-Z could buy Ticonderoga cheaply and use their presses and dies and other equipment, if William could hit precisely the right promotion note, if the money hurdle was not insurmountable.
If a man dies, shall he live again?
If the player dies, they are still put on the list, but are categorized as " Dead ", with their experience point total listed as at the final killing blow.
If a pope dies before revealing the identity of an in pectore cardinal, the cardinalate expires.
If his wife dies, he may not remarry and must remain celibate.
* If a doctor operates a patient and the patient dies, the doctor's hand will be cut off.
If a member of the executive committee quits or dies, the other four members appoint his or her replacement.
If the Prime Minister dies in office, the Cabinet chooses an Interim Prime Minister, to run the government until a new government is placed in power.
If a player dies all their weapons are lost and they receive the spawn weapons for the current map, usually the gauntlet and machine gun.
If the player dies, he must restart at the beginning of the level.
If, instead of slapping a feeding mosquito, one stretches one's skin so that it grips the proboscis and the mosquito cannot withdraw it, the pressure will distend the gut until it breaks and the mosquito dies.
If the president is not present, dies, resigns, or is otherwise unable to fulfill his or her duties, the vice president will generally serve as president.
If the president dies, resigns or is otherwise removed from office, a successor is to be elected within thirty days.
If somebody else dies, the supposed being who has supposedly " died " is only a phantom of the solipsist's imagination anyway, and the elimination of that phantom proves nothing.
If he dies pierced, they think that the divinity is going to help them ; if he does not die, it is he who is accused and they declare that he is a bad person.
If one dies, the remaining eagle often searches for a new mate to replace the one lost.
If an egg fails to hatch or the chick dies early, the parents will likely lay another egg the following year.
If a Lantern dies before that obligation is met, the ring will find and seek another trainee on its own.
If an individual dies outside of his / her state of residence, the coroner of the state in which the death took place issues the death certificate.
In the immediate aftermath, Drago displays no sense of remorse commenting to the assembled media: " If he dies ... he dies.
If the player dies during the battle with the final boss, The Entity acquires the complete Sigil, leading to the worst ending in which humanity is extinct.

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