Here the one is a new reality that emerges out of the discrete contributions of the many, not the assimilation of the many to an already established one.

Here, is a specific value drawn from a collection of ( discrete or continuous ) random variables X.

Here, is a discrete random variable with possible outcomes and corresponding probabilities for, and the logarithm is base 2.

Here he combined a feeling for structure ( creating a surprising series of discrete spaces ) with a love of plants and a willingness to experiment with novel plant combinations.

Here we see that very-high-energy states have little probability of occurring, a result that is consistent with intuition.

Here the goal was algorithmic: from the given probabilities of any system of events, to determine the consequent probability of any other event logically connected with the those events.

Here is a-dimensional vector, is the known-dimensional mean vector, is the known covariance matrix and is the quantile function for probability of the chi-squared distribution with degrees of freedom.

Here Q < sub > Y | X </ sub >( y | x ), sometimes called a test channel, is the conditional probability density function ( PDF ) of the communication channel output ( compressed signal ) Y for a given input ( original signal ) X, and I < sub > Q </ sub >( Y ; X ) is the mutual information between Y and X defined as

Here are some examples of probability vectors:

Here is the probability of the most probable state sequence responsible for the first observations ( we add one because indexing started at 0 ) that has as its final state.

Here, is a complex-valued probability amplitude ; and are strictly real.

Here is a nonempty closed subset of, is a random vector whose probability distribution is supported on a set, and.

Here is the probability of the return and which occurs at is the minimal acceptable return.

Here, he treated, among other things, Riemann surfaces, non-Euclidean geometry, differential geometry, interpolation and approximation, and probability theory.

Here again it seems that useful approximations of the size and geographical distribution of the population were obtained in this way in the late pre-war and early post-war periods.

" Here, the central limit theorem states that the distribution of the sample mean " for very large samples " is approximately normally distributed, if the distribution is not heavy tailed.

Here, Fujitsu Technology Solutions – evolved from the former joint venture Fujitsu Siemens Computers – holds global responsibility for research, development and distribution of all x86 servers produced by Fujitsu.

Here different species will be more suited to the edges or central sections of the vegetation, resulting in a varied distribution.

Here a and l denote radius and length of the wire, and Y is a constant that depends on the distribution of the current in the wire: Y =

Here we have to add that the change of real income can also be computed from the changes in income distribution.

Here are some examples showing the wide distribution of Hulder-related toponyms between the northern and southern reaches of Scandinavia, and the terms usage in different language groups ' toponyms.

Here the service time distribution is no longer a Markov process.

Here, the idea is to maximize the expected Kullback – Leibler divergence of the posterior distribution relative to the prior.

Here we have introduced the dipole moment μ of ρ as an integral over the charge distribution.

Starting in 2010, Here Media consolidated the distribution for The Advocate and Out magazines.

::" Here, as in that case, the injunction operates, not to redress alleged private wrongs, but to suppress, on the basis of previous publications, distribution of literature ' of any kind ' in a city of 18, 000.

Here the underlying random variables may be random vectors, each having the same dimension, in which case the mixture distribution is a multivariate distribution.

Here, is a Poisson process with rate, and are independent and identically distributed random variables, with distribution function G, which are also independent of

Here is a list of Antidesma species, with each species's distribution in parentheses:

Here F represents the percentage point of the F distribution and the quantities p and n-p are the degrees of freedom which are the parameters of this distribution.

In October he came to terms with United Artists for financial support and distribution of the proposed film, then developed a story outline based on Pyle's columns reproduced in Here is Your War, which the Army approved on November 27.

Here, it could explain the dispersed distribution off endocrine cells within pancreatic epithelium.

After The Mothers of Invention's contract with MGM and Verve Records expired, Frank Zappa and Herb Cohen negotiated to form a semi-independent record label Bizarre Records, with Verve releasing three Bizarre releases with distribution by MGM: a new Mothers of Invention album, Cruising with Ruben & the Jets, the compilation Mothermania, and an album by Sandy Hurvitz, Sandy's Album is Here at Last.

She did so in 1999 ; following her commercial breakthrough in 2000 with You Were Here, the album was re-released under Harmer's new major label distribution deal with Universal Music Canada.

Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.

Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.

Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.

Here, if anywhere, it is not wholly incontrovertible.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

Here an important caveat is in order.

Here, then, is what Swift would have called a modest proposal by way of a beginning.

But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.

Here is a word of advice when you go shopping for your pansy seeds.

Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;

Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.

Here is an original kedgeree recipe from the Family Club's kitchen:

Here is the promise of a vacation trip they can afford.

Here is where things stand today:

Here the Af distance is 2.44 Aj.

Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).

Here the number of trials is a random variable, not a fixed number.

Here there is a specific preventive component which applies in a more generalized sense to any casework situation.

( Here an entry is a form plus the information that pertains to it.

Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.

Here is the best short explanation of the origins of the Cold War that has been written.