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Page "Positive-definite matrix" ¶ 34
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Note and result
Note that the result of partial function application in this case is a function that takes two arguments.
Note that incomplete forward passes ( those which go out of bounds, or which touch the ground without being first cleanly caught by a player ) result in the end of the play, and are not returnable by either team.
Note that this expression indicates compositing C with all of the layers below it in one step and then blending all of the layers on top of it with the previous result to produce the final image in the second step.
Note that misidentifying the boundaries between the exons and intron by even a single letter will result in a nonsensical message.
Note: In cases where the optical design of a microscope produces an appreciable lateral separation of the two beams we have the case of classical interference microscopy, which does not result in relief images, but can nevertheless be used for the quantitative determination of mass-thicknesses of microscopic objects.
( Note that ( f-y ) and ( y-f ) produce the same result because it is squared.
Note also the formal correspondence of this result to Taylor's theorem.
Sometimes his name is turned into the Frankish name Rodolf ( us ) or Radulf ( us ) or the French Raoul, that are derived from it .< ref group =" Note "> Rou is the result of a series of French regular phonetic changes from Hrólfr > Rolf > Rouf to Rou ( see Lepelley 15-16 ) and Norman names in-ouf and-ou ( t ): I ( n ) gouf and Ygout < Old Norse Ingulfr / Ingólfr ( Old Danish Ingulf ).
Note that the size of the columns depends loosely on the rate of cooling ; very rapid cooling may result in very small (< 1 cm diameter ) columns, while slow cooling is more likely to produce large columns.
Note also that the X < sub > i </ sub > are in general not independent ; they can be seen as the result of applying the matrix A to a collection of independent Gaussian variables z.
Note that the order of the years makes no difference-the average percentage returns of + 60 % and − 10 % is the same result as that for − 10 % and + 60 %.
Note the fact that the set of points mapped into any hyperplane can be quite convoluted as a result, allowing much more complex discrimination between sets which are not convex at all in the original space.
Another important difference between Blue Note and other independent labels ( for example Prestige Records, who also employed Van Gelder ) was that musicians were paid for rehearsal time prior to the recording session: this helped ensure a better end result on the record.
As a result, Lion was under pressure by independent distributors to come up with similar successes, with the result that many Blue Note albums of this era start with a catchy tune intended for heavy airplay in the United States.
Note the everpresent fog in the photo to the right ( the circular blotches are not a special effect, but a result of the droplets formed on the camera lens cover ).
Note that a diagram may not be commutative, i. e. the composition of different paths in the diagram may not give the same result.
Note that the firm is no longer producing the allocatively efficient output, and there is a deadweight loss experienced by society equal to area F-this is a result of the exercise of monopoly power.
Zhang first came to prominence as the result of his October 1958 Jiefang (" Liberation ") magazine entitled “ Destroy the Ideas of Bourgeois Legal Ownership .” Mao Zedong ordered the reproduction of the article in Renmin Ribao (" People ’ s Daily "), and personally wrote an accompanying “ Editor ’ s Note ” giving mild approval.
Note that the result is a scalar ( an element of k ).
Note that in this regard both parasympathetic and sympathetic stimuli result in an increase in salivary gland secretions.
Note: Some home console versions of NBA Jam were coded later than others, and as a result of real-life roster changes or in the cases of Charles Barkley and Shaquille O ' Neal, legal reasons, some rosters differ from version to version.
* Application of Simpson's Rule-Earthwork Excavation ( Note: The formula described in this page is correct but there are errors in the calculation which should give a result of 569m3 and not 623m3 as stated )
Note that in some cases, truncating would yield the same result as rounding, but truncation does not round up or round down the digits ; it merely cuts off at the specified digit.

Note and does
Note that though the ideal gas itself contains no additional energy, the compressed gas does exert an increased pressure.
Note that chemists often write H < sup >+</ sup >( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >.
Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.
* Note: Botswana does not have a westernmost point as the western section is formed by the 22nd meridian of longitude east of Greenwich.
Note that the associative property does not hold for expressions that include non-linear operators, such as the antilinear time reversal operator in physics.
Note that traditional Berkeley DB also supports a Java API, but it does so via JNI and thus requires an installed native library.
* Note: technically Chad does not have an easternmost point, the northern section of the border being formed by the 24 ° of latitude
Note: in Greek, the term for " consul " is " ypatos ", which translates as " supreme one ", and hence does not necessarily imply a joint office.
Note that the validity of a conditional proof does not require that the CPA is actually true, only that if it is true it leads to the consequent.
Note that in many cases, digital cable telephone service is separate from cable modem service being offered by many cable companies and does not rely on Internet Protocol ( IP ) traffic or the Internet.
Note that this does not require 100 % awareness from the onset of the data warehousing effort, no master plan is required upfront.
Note that a dominatrix does not necessarily dominate a male partner ; a dominatrix may well have female submissives, nor must the role of a dominatrix involve pain toward the submissive ; her domination can be verbal, involving humiliating tasks and servitude.
( Note that anti-trust regulation does take into account cases when only large companies are viable because of the nature of an industry, but favors many participants over few, whenever possible.
Note that materialism does not necessarily imply egoism, as indicated by Karl Marx, and the many other materialists who espoused forms of collectivism.
( Note, chart does not include population statistics.
Note that this derivation does assume that ƒ ( x ) is sufficiently differentiable and well-behaved ; specifically, that ƒ may be approximated by polynomials ; equivalently, that ƒ is a real analytic function of exponential type.
Note that Reynolds does not object to the Marxist use of the term feudalism.
* * Note: Guinea does not have a northern-most point, this section of the border being formed by a straight horizontal line
* * Note: Guinea-Bissau does not have a northern-most point, the border here being formed by a straight horizontal line
Note that chair does not change form between " the chair is here " ( subject ) and " I saw the chair " ( direct object ), a distinction made by word order and context.
Note that ƒ cannot be extended to a homomorphism of rings ( from the complex numbers to the real numbers ), since it does not preserve addition:
Note that this " high temperature " approximation does not distinguish between fermions and bosons.
* * Note: Morocco does not have a southern-most point, the border being formed by a straight horizontal line
( Note that while Mercury does allow impure functionality, it is not necessary in most software, and serves primarily as a way of calling foreign language code.

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