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Page "Multivariate normal distribution" ¶ 62
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Here and is
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.

Here and vector
Here, i is the complex number whose square is the real number − 1 and is identified with the point with coordinates ( 0, 1 ), so it is not the unit vector in the direction of the x-axis ( this confusion is just an unfortunate historical accident ).
Here are the point coordinates in the canonical system, whose origin is the center of the ellipse, whose-axis is the unit vector coinciding with the major axis, and whose-axis is the perpendicular vector coinciding with the minor axis.
Here is the Jones vector ( is the imaginary unit with ).
Here a rank 1 tensor ( matrix product of a column vector and a row vector ) is the same thing as a rank 1 matrix of the given size.
Here is the tensor derivative of the velocity vector, equal in Cartesian coordinates to the component by component gradient.
Here the random vector is the vector r of random returns on the individual assets, and the portfolio return p ( a random scalar ) is the inner product of the vector of random returns with a vector w of portfolio weights — the fractions of the portfolio placed in the respective assets.
Here the first three vectors are linearly independent ; but the fourth vector equals 9 times the first plus 5 times the second plus 4 times the third, so the four vectors together are linearly dependent.
Here the numerator is a symmetric matrix while the denominator is a number, the squared magnitude of v. This is a reflection in the hyperplane perpendicular to v ( negating any vector component parallel to v ).
Here one is working with a vector space over the complex numbers.
Here, each vector Y < sub > j </ sub > of the f ' basis is a linear combination of the vectors X < sub > i </ sub > of the f basis, so that
Here is a known vector, and is an unknown vector of numbers x < sub > i </ sub > yet to be determined.
Here + is addition either in the field or in the vector space, as appropriate ; and 0 is the additive identity in either.
Here the vectors are elements of a given vector space V over a field K, and the coefficients are scalars in K.
Here one considers a modification of the directional derivative by a certain linear operator, whose components are called the Christoffel symbols, which involves no derivatives on the vector field itself.
:: Here, as in the classical theory V is a braided vector space of dimension n spanned by the E ´ s, and σ ( a so-called cocylce twist ) creates the nontrivial linking between E ´ s and F ´ s.
Here, represents a vector of states and represents the corresponding flux tensor.
* The dimension of thevector space is the same for all prime ideals of R .< ref > Here, is the residue field of the local ring .</ ref >

Here and mean
Here I do not mean catharsis, the discharge of emotion.
Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.
Here the are again the sums of powers of differences from the mean, giving
The main recent sense of the word “ art ” is roughly as an abbreviation for creative art or “ fine art .” Here we mean that skill is being used to express the artist ’ s creativity, or to engage the audience ’ s aesthetic sensibilities, or to draw the audience towards consideration of the “ finer ” things.
Here Person ( x ) is interpreted to mean x is a person, Time ( y ) to mean that y is a moment of time, and Canfool ( x, y ) to mean that ( person ) x can be fooled at ( time ) y.
" 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 denotes the maximum-likelihood estimate, and is the sample mean of the observations.
Here mfp is the mean free path of electron inelastic scattering, which has recently been tabulated for most elemental solids and oxides.
Here " Vishnuyasha " could mean that the father of Lord Kalki would be a great devotee of lord Vishnu, " Sumati " may refer to the pure thinking of his mother and Shambhala village, may indicate a place having the existence of the great temple of Lord Shiva.
Here in the northwest, that can mean very late operations due to the long days during the summer months.
Here, self-blame and self-contempt mean the application, towards ( a part of ) one's self, of exactly the same dynamic that blaming of, and contempt for, others represents when it is applied interpersonally.
Here " best " means giving the lowest possible mean squared error of the estimate.
Here teachers gathered and gave instruction between the hours devoted to physical exercises and sports, and thus the term became associated with and came to mean an institution of learning.
Here the instantaneous flow properties are decomposed into a mean and fluctuating component.
Here, the are independently distributed error terms with zero mean and finite variance, which may not be the same for all.
But in verse 6 of the Psalm, God says to the other members of the council, ‘ You are elohim .’ Here elohim has to mean gods .”
When we specify the internal energy to be U, what we really mean is that the total energy of the gas lies somewhere in an interval of length around U. Here is taken to be very small, it turns out that the entropy doesn't depend strongly on the choice of for large N. This means that the above " area " must be extended to a shell of a thickness equal to an uncertainty in momentum, so the entropy is given by:
His stories are memorable ; people who cannot recall title or author will nevertheless remember " the story about the people who lived in the department store " (" Evening Primrose "), or " the story in which the famous beauties that the man magically summons all say, ' Here I am on a tiger-skin again '" (" Bottle Party "), or the one in which " the mean father who refuses to believe his son is gobbled up, with only one foot in a shoe left on the stairs " ( Thus I Refute Beelzy ).
Here by an arc from x to y we mean the image in M of a topological embedding f from an interval to M such that f ( a )= x and f ( b )= y.
Here, the term shared does not mean that there is a single centralized memory but shared essentially means that the address space is shared ( same physical address on two processors refers to the same location in memory ).
Here, it is used to mean " looking something up ( on the Web )".
Here, is a shorthand notation to mean the index runs over either the left or right Weyl spinors.

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