Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.

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, although rarely occurring, if a runner tags and advances from second base ( or, theoretically, from first base ) all the way to home and scores ( without an intervening error ) the batter is credited with a sacrifice fly.

Note that the requirement that the maps be continuous is essential ; if X is infinite-dimensional, there exist linear maps which are not continuous, and therefore not bounded.

Note that if we regard the product as a vector space, then B is not a linear transformation of vector spaces ( unless or ) because, for example.

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, technically, Wisda's damages would be the lost profits only — if Wisda would have had $ 35 per hour in wages, materials and other expenses, its actual damages are only $ 15 per hour

Note that this document type declaration can only appear after the optional XML declaration, and before the document body, if the document syntax conforms to XML.

Note that if the operations are performed in a colour space where γ is not equal to 1 then the operation will lead to non-linear effects which can potentially be seen as aliasing artifacts ( or ' jaggies ') along sharp edges in the matte.

Although siblinghood is symmetric ( if A is a sibling of B, then B is a sibling of A ) and transitive on any 3 distinct people ( if A is a sibling of B and C is a sibling of B, then A is a sibling of C, provided A is not C ( Note that " is a sibling of " is NOT a transitive relation, since A R B, and B R A implies A R A by transitivity )), it is not reflexive ( A cannot be a sibling of A ).

Note, however, that if the MSE is relatively low, then the arrows are likely more highly clustered ( than highly dispersed ).

Note that the previous expression holds true only if the kinetic energy flow rate is conserved between system inlet and outlet.

Then, once this claim ( expressed in the previous sentence ) is proved, it will suffice to prove " φ is either refutable or satisfiable " only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ ( i. e., ( φ ≡ ψ ) is provable ), then it is indeed the case that " ψ is either refutable or satisfiable " → " φ is either refutable or satisfiable " ( the soundness theorem is needed to show this ).

Note that these drugs do not treat hyperthyroidism or any of its long-term effects if left untreated, but, rather, they treat or reduce only symptoms of the condition.

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: if the product resulting from the labor process is homogeneous ( all similar in quality and traits, for example, all cups of coffee ) then the value of the period ’ s product can be divided by the total number of items ( use-values ) produced to derive the unit value of each item.

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: This fact provides a proof of the infinitude of primes distinct from Euclid's Theorem: if there were finitely many primes, with p being the largest, we reach an immediate contradiction since all primes dividing 2 < sup > p </ sup > − 1 must be larger than p .</ li >

( Note: if 19a or 19b is answered " NO " that ends the due process analysis-the totality of circumstances test is not reached )

Note that if you graph the functions the axes represent quantities.

Note that a device designed primarily as a comparator may be better if, for instance, speed is important or a wide range of input voltages may be found, since such devices can quickly recover from full on or full off (" saturated ") states.

Note that the non-inverting input of the operational amplifier will need a path for DC to ground ; if the signal source might not give this, or if that source requires a given load impedance, the circuit will require another resistor — from input to ground.

* * Note: if submerged reefs are included then Velasco reef is Palau's northern-most point

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 this property is itself positive, since it is the conjunction of the ( infinitely many ) positive properties.

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.

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.