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If the sample is depolarizing the Mueller matrix formalism should be used, because it gives additionally access to the amount of depolarization.
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If and sample
If the list is a statistical sample, we call the resulting statistic a sample mean.
If elements in the sample space increase arithmetically, when placed in some order, then the median and arithmetic average are equal.
If the concentration of element or compound in a sample is too high for the detection range of the technique, it can simply be diluted in a pure solvent.
If the amount in the sample is below an instrument's range of measurement, the method of addition can be used.
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 this critical sample is obtained at the time of hypoglycemia, before it is reversed, it can provide information that would otherwise require a hospital admission and unpleasant starvation testing.
If the degree of underrepresentation is small, the sample can be treated as a reasonable approximation to a random sample.
If entire segments of the population are excluded from a sample, then there are no adjustments that can produce estimates that are representative of the entire population.
If a sample of cobalt-60 atoms is magnetized so that they spin counterclockwise around some axis, the beta radiation resulting from their nuclear decay will be preferentially directed opposite that axis.
If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is termed the " sample mean " () to distinguish it from the " population mean " ( or < sub > x </ sub >).
If an upregulated gene is observed by an abundance of mRNA on the northern blot the sample can then be sequenced to determine if the gene is known to researchers or if it is a novel finding.
If we assemble a deck of 52 playing cards with no jokers, and draw a single card from the deck, then the sample space is a 52-element set, as each card is a possible outcome.
If we do not alter the system, then the parameter λ is unchanged from measurement to measurement ; if, on the other hand, we modulate the system by replacing the sample with a more radioactive one, then the parameter λ would increase.
If the parameter " dopefish " is added to the executable, a sample of burping is heard and Scott's Mystical Head is seen spinning in circles on the screen.
If subgroups ' variances differ significantly and the data need to be stratified by variance, then there is no way to make the subgroup sample sizes proportional ( at the same time ) to the subgroups ' sizes within the total population.
If the tip is moved across the sample in the x-y plane, the changes in surface height and density of states cause changes in current.
If the beam enters the sample perpendicular to the surface, then the activated region is uniform about the axis of the beam and a certain number of electrons " escape " from within the sample.
If all of the are drawn from the same distribution and the integer weights indicate frequency of occurrence in the sample, then the unbiased estimator of the weighted population variance is given by
If the collected sample contains too few sperm cells to likely have a spontaneous fertilization, intracytoplasmic sperm injection can be performed.
If it is desired to sample more of the exponential electron portion of the characteristic, an asymmetric double probe may be used, with one electrode larger than the other.
If the patient is infected with H. pylori, the breath sample will contain radioactive carbon dioxide.
If and is
If the circumstances are faced frankly it is not reasonable to expect this to be true.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
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 they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.
If it is an honest feeling, then why should she not yield to it??
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If he is good, he may not be legal ; ;
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If he is a traditionalist, he is an eclectic traditionalist.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.
If and Mueller
So does " Loco-Motion " by Carole King, Gerry Goffin, and " Ours If We Want It " written by Tom Snow & Mark Mueller.
If and matrix
If there are proteins left in the shell matrix, it is also possible that they can trigger an allergic ( asthmatic ) attack.
If A is expressed as an N × N matrix, then A < sup >†</ sup > is its conjugate transpose.
If matrix support is polar ( e. g. paper, silica etc.
If the condition number is close to one, the matrix is well conditioned which means its inverse can be computed with good accuracy.
If the condition number is large, then the matrix is said to be ill-conditioned.
If we write an n-by-n matrix in terms of its column vectors
If the matrix entries are real numbers, the matrix can be used to represent two linear mappings: one that maps the standard basis vectors to the rows of, and one that maps them to the columns of.
If G = GL < sub >*</ sub >( K ), then the set of natural numbers is a proper subset of G < sub > 0 </ sub >, since for each natural number n, there is a corresponding identity matrix of dimension n. G ( m, n ) is empty unless m = n, in which case it is the set of all nxn invertible matrices.
If is a quaternion valued spinor, is quaternion hermitian 4x4 matrix coming from Sp ( 8 ) and is a pure imaginary quaternion ( both of which are 4-vector bosons ) then the interaction term is:
If the 3 generations are then put in a 3x3 hermitian matrix with certain additions for the diagonal elements then these matrices form an exceptional ( grassman -) Jordan algebra, which has the symmetry group of one of the exceptional Lie groups ( F < sub > 4 </ sub >, E < sub > 6 </ sub >, E < sub > 7 </ sub > or E < sub > 8 </ sub >) depending on the details.
If he used the punch and matrix approach, all his letters should have been nearly identical, with some variations due to miscasting and inking.
If G is any subgroup of GL < sub > n </ sub >( R ), then the exponential map takes the Lie algebra of G into G, so we have an exponential map for all matrix groups.
* If the message indicates, Bob would send his qubit through the unitary gate given by the Pauli matrix
If one considers the matrix A as a linear mapping
* If A is a square matrix ( i. e., m = n ), then A is invertible if and only if A has rank n ( that is, A has full rank ).
* If B is any n-by-k matrix, then
* If B is an n-by-k matrix with rank n, then
* If C is an l-by-m matrix with rank m, then
* Sylvester ’ s rank inequality: If A is a m-by-n matrix and B n-by-k, then
If the impression is made purely as a relief resulting from the greater pressure on the paper where the high parts of the matrix touch, the seal is known as a dry seal ; in all other cases a liquid or liquified medium ( such as ink or wax ) is used, usually in another color than the paper.
If A is a matrix,
If the matrix is positive semidefinite matrix, then is a convex function: In this case the quadratic program has a global minimizer if there exists some feasible vector ( satisfying the constraints ) and if is bounded below on the feasible region.
If the matrix is positive definite and the problem has a feasible solution, then the global minimizer is unique.
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