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 the color red is an objective property of an object.

Note that for any fixed w the function f ( x ) = F ( w x ) is computable ; thus the universality property states that all computable functions of one variable can be obtained in this fashion.

Note that this is before the effects of round-off error are taken into account ; conditioning is a property of the matrix, not the algorithm or floating point accuracy of the computer used to solve the corresponding system.

Note that completeness is a property of the metric and not of the topology, meaning that a complete metric space can be homeomorphic to a non-complete one.

Note that bias is a property of the estimator, not of the estimate.

Note that, following the property of opposite category,.

Note that the bilinearity and alternating properties imply anticommutativity, i. e., for all elements x, y in, while anticommutativity only implies the alternating property if the field's characteristic is not 2.

Note that the Israeli application of the Immutability Doctrine does not distinguish between personal and real property.

Note that this is not just a property of the set S but one of the set S as subset of P.

Note that this is different from larceny which simply requires that property be taken from the victim ’ s possession, actual or constructive.

Note: historically, a legacy has referred to either a gift of real property or personal property.

Note that this is one of the chief differences between U. S. and EU approach towards Intellectual property rights up till the early 21st century, in that the crystallisation of this modern approach ( the Berne Convention for the Protection of Literary and Artistic Works ) is still only partially put in practice in the U. S., and, where applied, this is done largely outside the legislation regarding IP.

Note that the reference is to the shared Point and not to the SurveyMonument, since any feature object can have more than one geometry object property.

Note that this property holds only as long as other variables on which the intensive variable depends stay constant.

Note that you have to measure the amounts in the same unit that was used to calculate the intensive property from the extensive property.

The promised geometric property of reflexive Banach spaces is the following: if C is a closed non-empty convex subset of the reflexive space X, then for every x in X there exists a c in C such that || x − c || minimizes the distance between x and points of C. ( Note that while the minimal distance between x and C is uniquely defined by x, the point c is not.

Comment: Note that the Recoverability property is needed even if no database failure occurs and no database recovery from failure is needed.

Note that by the unique lifting property, if f is not the identity and C is path connected, then f has no fixed points.

Note that this property is local: there might exist other surfaces that minimize area better with the same global boundary.

Note that if property is falsely obtained for a specific purpose-for example money to buy a car that does not exist-the crime is larceny by trick rather than false pretenses because the victim intended to pass title to the money only upon completion of the transaction ; until such time the victim intended to deliver possession only.

A property called the relativistic mass is defined as the ratio of the momentum of an object to its velocity .< ref > Note that the relativistic mass, in contrast to the rest mass m < sub > 0 </ sub >, is not a relativistic invariant, and that the velocity is not a Minkowski four-vector, in contrast to the quantity, where is the differential of the proper time.

( 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.