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Page "Systematic sampling" ¶ 8
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If and random
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 it were wholly random and unrelated, it would be 2.0, assuming the five classes were equal in n, which approximately they are.
If no address is provided, one is picked at random from the " base subnet ", 0.
If are independent and identically distributed random variables, each with a standard Cauchy distribution, then the sample mean has the same standard Cauchy distribution ( the sample median, which is not affected by extreme values, can be used as a measure of central tendency ).
If one watches a bacterium swimming in a uniform environment, its movement will look like a random walk with relatively straight swims interrupted by random tumbles that reorient the bacterium.
If it is moving in the wrong direction, it will tumble sooner and try a new direction at random.
If the affected bits are independently chosen at random, the probability of a two-bit error being undetected is 1 / n.
If we insert vertices in random order, it turns out ( by a somewhat intricate proof ) that each insertion will flip, on average, only O ( 1 ) triangles – although sometimes it will flip many more.
If a game has a board, the board is usually irregular rather than uniform or symmetric ( like Risk rather than chess or Scrabble ); the board is often random ( like Settlers of Catan ) or has random elements ( like Tikal ).
If X is a positive random variable and q > 0 then for all ε > 0
If μ is an unknown constant and W is random noise with probability density, then has probability density and is therefore a location family ..
If the degree of underrepresentation is small, the sample can be treated as a reasonable approximation to a random sample.
If the key is truly random, as large as or greater than the plaintext, never reused in whole or part, and kept secret, the ciphertext will be impossible to decrypt or break without knowing the key.
If a random experiment can result in N mutually exclusive and equally likely outcomes and if N < sub > A </ sub > of these outcomes result in the occurrence of the event A, the probability of A is defined by
If an individual coin toss or the roll of dice is considered to be a random event, then if repeated many times the sequence of random events will exhibit certain patterns, which can be studied and predicted.
If the random variable is real-valued ( or more generally, if a total order is defined for its possible values ), the cumulative distribution function gives the probability that the random variable is no larger than a given value ; in the real-valued case it is the integral of the density.
If indeed an answer comes, the time and place it comes is considered random.
If X is a real-valued random variable and a is a number then the event X ≤ a is the set of outcomes whose corresponding value of X is less than or equal to a.
If is a vector-valued random variable, with values in, and thought of as a column vector, then the natural generalization of variance is, where and is the transpose of, and so is a row vector.
If is a complex-valued random variable, with values in, then its variance is, where is the conjugate transpose of.
If the attacker is spoofing source addresses randomly, the backscatter response packets from the victim will be sent back to random destinations.

If and starting
In addition to acting and occasionally directing, Campbell has become a writer, starting with an autobiography, If Chins Could Kill: Confessions of a B Movie Actor published on August 24, 2002.
If one set is played, the pieces usually go into the opponent's starting corner, and the number of pieces per side is often increased to 15 ( instead of the usual 10 ).
If two sets are played, the pieces can either go into the opponent's starting corners, or one of the players ' two sets can go into an opposite empty corner.
If three sets are played, the pieces usually go into the opponent's starting corners.
If the team scores a touchdown, starting with the 2010 season, it is required to attempt a 2-point conversion.
If the orientation of the tangent relative to some starting position is θ ( s ), then ρ ( s ) is defined by the derivative dθ / ds:
If the starting point is moved, the rats with hippocampal lesions typically fail to locate the platform.
If the palette is only 64 colors ( so color indexes are 6 bits wide ), the symbols can range from 0 to 63, and the symbol width can be taken to be 6 bits, with codes starting at 7 bits.
If one takes the experimentally observed flow around an airfoil as a starting point, then lift can be explained in terms of pressures using Bernoulli's principle and conservation of mass.
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 starting function is the Möbius function itself, the list of functions is:
If they were at different speeds ( different frequencies ), the phase difference is undefined and would only reflect different starting positions.
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 one learns of a relative's death more than a week following burial, s / he shall sit Shiva starting on the day of notification, if the shloshim period has not elapsed.
If the starting ore is gadolinite, it is digested with hydrochloric or nitric acid which dissolves the rare-earth metals.
If we suppose that each racer starts running at some constant speed ( one very fast and one very slow ), then after some finite time, Achilles will have run 100 metres, bringing him to the tortoise's starting point.
If an ant were to crawl along the length of this strip, it would return to its starting point having traversed the entire length of the strip ( on both sides of the original paper ) without ever crossing an edge.
If continued the line will meet the starting point and will be double the length of the original strip.
If the conjecture is false, it can only be because there is some starting number which gives rise to a sequence which does not contain 1.
If a player rolls three consecutive 6s, he must return to the starting square ( grid " 1 ") and may not move again until rolling another 6.
If the starting number is rational then this process exactly parallels the Euclidean algorithm.
If the starting number is irrational then the process continues indefinitely.
If this were a test, it would make most sense for Lear to hear out all three daughters before starting to divide the kingdom.
If two solvents can form a positive azeotrope, then distillation of any mixture of those constituents will result in the distillate being closer in composition to the azeotrope than the starting mixture.
If a solution is known moving from peg A to peg C, then, by renaming the pegs, the same solution can be used for every other choice of starting and destination peg.

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