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* If the lowest Bacon number of any actor with whom X has appeared in a movie is N, X's Bacon number is N + 1.
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If and lowest
If you would like to start your tour in Italy, where the rental fees are actually the lowest in Europe, Fiats in all sizes are available, as are Alfa Romeo Giulietta models.
If the substituents are numbered from 1 ( highest priority ) to 4 ( lowest priority ), then the sense of rotation of a curve passing through 1, 2 and 3 distinguishes the stereoisomers.
If five judges then the highest and lowest scores are discarded and the middle three are summed and multiplied by the degree of difficulty ( DD ), which is determined from a combination of the moves undertaken, in which position and from what height ).
In arithmetic and number theory, the least common multiple ( also called the lowest common multiple or smallest common multiple ) of two integers a and b, usually denoted by LCM ( a, b ), is the smallest positive integer that is divisible by both a and b. If either a or b is 0, LCM ( a, b ) is defined to be zero.
If no one declared in one direction, the whole pot is awarded to the other ( for example, if all players declared low, the lowest hand is awarded the whole pot ).
If it were rational, it could be expressed as a fraction a / b in lowest terms, where a and b are integers, at least one of which is odd.
If voters are explicitly allowed to abstain from rating certain candidates, as opposed to implicitly giving the lowest number of points to unrated candidates, then a candidate's score would be the average rating from voters who did rate this candidate.
* If splitting a pot because of tied hands, award the odd chip to the hand that contains the highest-ranking single card, using suits to break ties if necessary ( clubs ranking the lowest, followed by diamonds, hearts, and spades as in bridge ).
If the communication is mediated by several links in series with different bit rates, the maximum throughput of the overall link is lower than or equal to the lowest bit rate.
If two neighbors advertised the same route, but one neighbor is reachable via a low-bitrate link and the other by a high-bitrate link, and the interior routing protocol calculates lowest cost based on highest bitrate, the route through the high-bitrate link would be preferred and other routes dropped.
If the electronic motor required to move the pistons which raise or lower the engine is malfunctioning, every outboard motor is equipped with a manual piston release which will allow the operator to drop the motor down to its lowest setting.
If an atom, ion, or molecule is at the lowest possible energy level, it and its electrons are said to be in the ground state.
If a free electron has enough energy to do so, it will be bound to the lowest available energy state, and the remaining energy will be radiated away.
If such a Hamiltonian has a unique lowest energy state with a positive real wave-function, as it often does for physical reasons, it is connected to a stochastic system in imaginary time.
If bridge IDs were equal, then the bridge with the lowest MAC address would have the designated port.
If the particle's position is parametrized by the arclength s ( t ) from the lowest point, the kinetic energy is proportional to.
If the round ends because no one can place a piece, then the player with the lowest tile total value gains the value in excess of his from each other player, but no bonus.
If, when a vertex is colored, there exists an edge connecting it to a previously-colored vertex with the same color, then this edge together with the paths in the breadth-first search tree connecting its two endpoints to their lowest common ancestor forms an odd cycle.
If we go up a fifth from the lowest note in the octave and then up a fourth from there, we will reach the upper note of the octave.
If the Snoods drop past the lowest level of the playing field, the game is over.
If a polynomial has only one variable ( univariate polynomial ), then the terms are usually written either from highest degree to lowest degree (" descending powers ") or from lowest degree to highest degree (" ascending powers ").
If during the count there are two candidates with equal lowest votes, he can decide which will be excluded.
If there are alternatives that are equally effective, then the simplest or lowest cost approach is preferred.
If and Bacon
If Wycliffe was in philosophy the superior of his contemporaries and had no equal in scholastic discipline, he belongs with the series of great scholastic philosophers and theologians in which England in the Middle Ages was so rich – with Alexander of Hales, Roger Bacon, Duns Scotus, William of Ockham ( Occam ), and Thomas Bradwardine.
Roger Bacon wrote " If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics.
) In 2012, a columnist writing on the English language in the Calcutta ' Telegraph ', Stephen Hugh-Jones, mocked it with the deliberately anachronistic " If I built it in, is author ID Bacon?
enjoyed saying: " If Picasso, Pablo Ruiz or Bacon could come through a time channel and come to Verrocchio's studio, or Rafael Sanzio's, they would not last a week, they would be kicked out as bad painters …"
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.
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