Each performance of an n-trial binomial experiment results in some whole number from 0 through N as the value of the random variable X, where Af.

Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.

Each corner of the rectangles is defined by three values referred to as X, Y and Z. X is how far left and right the point is.

A partition of X is a set P of nonempty subsets of X, such that every element of X is an element of a single element of P. Each element of P is a cell of the partition.

Each state is a tuple ( X → α • β, i ), consisting of

The Harrison topology is a topology on the set of orderings X < sub > F </ sub > of a formally real field F. Each order can be regarded as a multiplicative group homomorphism from F < sup >*</ sup > onto ± 1.

Each convex set containing X must ( by the assumption that it is convex ) contain all convex combinations of points in X, so the set of all convex combinations is contained in the intersection of all convex sets containing X. Conversely, the set of all convex combinations is itself a convex set containing X, so it also contains the intersection of all convex sets containing X, and therefore the sets given by these two definitions must be equal.

Each player ( Mr. X and the detectives ) draws one of 18 possible cards which show where a player has to start.

Each set X of natural numbers that is definable in first order arithmetic is assigned classifications of the form,, and, where is a natural number, as follows.

Each extra X chromosome lowers the child's IQ by about 15 points, which means that the average IQ in Klinefelter syndrome is in general in the normal range, although below average.

Each building is a simplicial complex X which has to satisfy the following axioms:

Each tile consists of an ( X, Y ) coordinate of its lower left-hand corner, and links to four tiles: the right-most neighbor on the top, the top-most neighbor on the right, the bottom-most neighbor on the left, and the left-most neighbor on the bottom.

( a ) Each data point X < sub > i </ sub > is reconstructed only from its neighbors, thus enforcing W < sub > ij </ sub > to be zero if point X < sub > j </ sub > is not a neighbor of the point X < sub > i </ sub > and

Each point X < sub > i </ sub > in the D dimensional space is mapped onto a point Y < sub > i </ sub > in the d dimensional space by minimizing the cost function

Each time Letch `` went up '' in his `` lines '', I was the one to be patient, helpful and apologetic while he indulged in outbursts of temperament, profanity and abuse, blaming others, going into `` sulks '' and, on more occasions than I care to count, storming off the `` set '' for the rest of the day.

Each observed new lines in the color spectrum of air but were unable to identify the element responsible for the lines.

Each frame of a television image is composed of lines drawn on the screen.

Each station transmitted a continuous wave signal that, by comparing the phase difference of the signals from the Master and one of the Slaves, resulted in a set of hyperbolic lines of position called a pattern.

Each discipline usually has several sub-disciplines or branches, and distinguishing lines are often both arbitrary and ambiguous.

Each element or molecule displays a characteristic set of spectral lines, such as the hydrogen spectral series.

Each internal line corresponds to a factor of the corresponding virtual particle's propagator ; each vertex where lines meet gives a factor derived from an interaction term in the Lagrangian, and incoming and outgoing lines carry an energy, momentum, and spin.

Each version includes lines, and even entire scenes, missing from the others.

Each text contains material that the other lacks, with many minor differences in wording: scarcely 200 lines are identical in the two.

Each frame is composed of two fields, each consisting of 262. 5 scan lines, for a total of 525 scan lines.

Each page had a serial number and eight lines.

Each bot has its own, often humorous, ' personality ', expressed as scripted lines that are triggered to simulate real player chat.

Each bot has a number of alternative lines to reduce the repetition of bot chatter.

Each of these three lines was subdivided into ( usually 10 ) chief tactical units called maniples.

) Each of the three lines is then sub-divided within the century into a more forward and a more rear century.

Each regional command was organized along divisional lines.

Each ethnic group preserves its own culture and many institutions, including political parties, tend to follow ethnic lines.

Each line of the text has some twelve to fourteen Greek uncial letters, arranged in four columns ( 48 lines in column ) with carefully chosen line breaks and slightly ragged right edges.

Each successive stanza takes its pattern based upon a bottom-up pairing of the lines of the preceding stanza ( i. e., last and first, then second-from-last and second, then third-from-last and third ).

Each SM handles several hundred to few thousand telephone lines or several hundred trunks or mixture thereof.

Each SM has Local Digital Service Units ( LDSU ) to provide various services to lines and trunks in the SM, including tone generation and detection.

Each GDX board serves 32 lines, 16 A links and 32 B links.

Each group of seniors designs a " stack " to be solved by a handful of underclassmen.

Each label stack entry contains four fields:

Each stack of speakers in this sound reinforcement setup consists of two EAW SB1000 direct radiating subwoofers ( each contains two 18 " drivers ) and two EAW KF850 full range cabinets for the mid and high frequencies.

Each thyristor is cooled with deionized water, and the entire arrangement becomes one of multiple identical modules forming a layer in a multilayer valve stack called a quadruple valve.

Each time a function is called, its local variables and parameters are " pushed onto " the stack.

Each player in turn draws one card from the stack and follows its instructions.

Each stack of glass-doored dispensers had a metal cylinder that could be rotated by the staff on the other side of the vending wall, hiding the contents while they refilled each dispenser in the stack with a plate of salad, pudding, meat or vegetables.

Each nested call creates a new stack frame in memory, which persists until that call completes.

Each task had its own memory segment holding its stack and the frames that it owns.

Each player's wager remains in front of him, and the taker adds an extra matching stack for each defender.

Each column shows an input element ( the plate at the end of the conveyor ), and the contents of the stack after processing that input.

Each standard addresses different layers in the OSI model communication stack.

Each program had its own sets of stack and Q store registers, which were activated when that program was dispatched, so that context switching was very efficient.

Each vertical stack of logic modules sat above a stack of power modules which powered 5 volt bus bars, each of which delivered about 2200 amps.

Each vat has a single thread of execution, a stack frame, and an event queue.

Each TAL statement could easily compile into a sequence of instructions that manipulated data on a transient floating register stack.

Each stack frame corresponds to a call to a subroutine which has not yet terminated with a return.

Each stack is topped with pats of butter and syrup, the number of pancakes in the stack signifying the number of the crime.

Each of the two monophonic modes arranged the oscillators into a single note stack of slightly detuned oscillators.

Each Net-Lib supported network protocol has a separate driver ( not to be confused with a device driver ), and has support for a session layer in its protocol stack.

Each sheet is identical to all the others in the stack.