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Page "Autocorrelation" ¶ 6
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Note and expression
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 the previous expression holds true only if the kinetic energy flow rate is conserved between system inlet and outlet.
Note that if n < sub > 1 </ sub > and n < sub > 2 </ sub > are the same, the antisymmetric expression gives zero, which cannot be a state vector as it cannot be normalized.
Note that the " regular expression " features provided with many programming languages are augmented with features that make them capable of recognizing languages that
Note that the expression ( 1 ) for a vector rotation through an angle θ, the angle appearing in γ was halved.
Note 1: The traffic may consist of two-way communications ; the expression " one way " refers only to the origin of the demand for a connection.
Note, this general expression for total radiated power simplifies to the above expression for the specific case of acceleration parallel to velocity (), by noting that and.
Note that for large enough n, only the first and second terms are not converging to zero, so we get an asymptotic expression:, as.
Note that the expression ' instance ' is a synonym for ' installation '.
Especially regarding claims by Orthodox church that spreading the faith and receiving converts amounts to proselytism Catholic Church Congregation for the Doctrine of the Faith issued document called " Doctrinal Note on some Aspects of Evangelization " which states that evangelism is " an inalienable right and duty, an expression of religious liberty ...", document added that " The incorporation of new members into the Church is not the expansion of a power group, but rather entrance into the network of friendship with Christ which connects heaven and earth, different continents and age.
Note: we define a location in an expression as a leaf node in the syntax tree.
Note that the coreference binding can be represented using a lambda expression as mentioned in the previous Formal explanation section.
A functional defined on some appropriate space of functions with norm < ref group =" Note "> The dot in this norm expression is a placeholder for an element of V, e. g. .</ ref > is said to have a weak minimum at the function if there exists some such that, for all functions with < math >
Note how, given the initial assumption that no two are the same,, so this expression is always well-defined.
Note the remarkable similarity to the globally convergent series expression for the Hurwitz zeta function.
Note that the truth of the expression requires only that x be in X, so it can be any x in X, independent of P ( x ), whereas the falsity of the expression, or the truth of
Note that ( confusingly ) each expression has been translated as meaning by someone.
Note the mixture of coordinate and fiber indices in this expression.
Note that exponentiation is not associative, so evaluating the expression in the other order will lead to a different answer:
Note that referring to an argument as " abstract nonsense " is not supposed to be a derogatory expression, and is actually often a compliment regarding the sophistication of the argument.
Note that this expression is not guaranteed to be positive, and is therefore not a valid probability distribution.
Note that this expression assumes that the conductivity and temperature have both been recast in units

Note and is
( Note: So far as State Police cars are concerned, only their replacement is under this division ).
Note, however, that it is six inches shorter at the forward end.
Note another piece of wood six inches wide is fastened to the transom between these pieces.
Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.
Note that the mass threshold is four times that of 1958 Alpha and that the flux is one fifth as large.
Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;
Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.
Note that flexural strength is not always improved by simply increasing the density, nor is the change always proportional from one formulation to another.
Most European domestic power supplies run at 230 V, so the current drawn by a particular European appliance ( in Europe ) will be less than for an equivalent American one ( in the United States ).< ref group =" Note "> The formula for power is given by
Note that this premise uses the phrase " is not ", a form of " to be "; this and many other examples show that he did not intend to abandon " to be " as such.
Note: This list is limited to linguists who have worked specifically on the Altaic problem since the publication of the first volume of Ramstedt's Einführung in 1952.
Note that any model of ZF ¬ C is also a model of ZF, so for each of the following statements, there exists a model of ZF in which that statement is true.
Note that there is no directly corresponding concept in the German language.
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 that the above formula is only applicable to classical ideal gases and not Bose – Einstein or Fermi gases.
Note that this pressure increase is more than a simple 10: 1 compression ratio would indicate ; this is because the gas is not only compressed, but the work done to compress the gas has also heated the gas and the hotter gas will have a greater pressure even if the volume had not changed.
Note that this is not the same as a monophyly in which all descendants of a common ancestor are included.
Note: because Solar System bodies are never perfect diffuse reflectors, astronomers use empirically derived relationships to predict apparent magnitudes when accuracy is required.
Note that this is subtly different to the ' thanks ' list in the original BBC Model B.

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