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.

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 personal ( per capita ) income distribution, given in this table, is not exactly comparable with household income distribution, given in the previous table, because poor households tend to have more members.

Note: Yom Kippur begins at sundown of the previous day in the Gregorian calendar ( e. g. 25 September 2012 ).

Note that the reason this works is that the bit line input-drivers are designed to be much stronger than the relatively weak transistors in the cell itself, so that they can easily override the previous state of the cross-coupled inverters.

Note that the integrand above ( uv ) differs from the previous equation.

Note that the coreference binding can be represented using a lambda expression as mentioned in the previous Formal explanation section.

Note that Sp ( n ) is not a symplectic group in the sense of the previous section — it does not preserve a non-degenerate skew-symmetric ( H-bilinear ) form on H < sup > n </ sup > ( in fact, the only skew-symmetric form is the zero form ).

Note that this definition of entropy can even be viewed as equivalent to the previous one ( unknown information ) if we take a meta-perspective, and say that for observer A to " know " the state of system B means simply that there is a definite correlation between the state of observer A and the state of system B ; this correlation could thus be used by a meta-observer ( that is, whoever is discussing the overall situation regarding A's state of knowledge about B ) to compress his own description of the joint system AB.

Note: Years listed are when award was received for work released in the previous calendar year.

Note that the previous example only holds true for a single threaded hob ; if the hob has multiple threads then the speed ratio must be multiplied by the number of threads on the hob.

* 1862: The first $ 5 United States Note was issued with a face design similar to the previous Demand Note and a completely revised reverse.

In 1976 production of the two-dollar denomination was resumed and the two-dollar bill was finally assigned as a Federal Reserve Note, with a new design on the back featuring John Trumbull's depiction of the drafting of the United States Declaration of Independence replacing the previous design of Monticello.

Note that each player must always announce a value greater than the previous value announced, unless she or he is passed a Mia in which case the round ends.

Note Worthy-Queen's Players had to be moved to Time to Laugh comedy club after, during a show the previous summer, a Queen's football player body checked a burly friend of his through one of the concrete pillars leading up to the entrance of the venue.

* Filming dates – 3 May-4 June 1976 ( Note that Sid James-star of 20 previous entries in the series died just days before filming on 26 April 1976 )

Note that its previous URL, digitaldividenetwork. org, was retired in December 2004.

Note that the cephalopod does not pump up the shell ; the gas moving into the chamber is a passive process, instead the energy is used in absorbing the water from the chamber. An image showing the siphuncle, the tube which connects the current living shell to the previous ones.

Note that Figure 2 plots the independent and response variables in the opposite axes to those normally used, so that it may be superimposed onto the previous graph, to show the Nash equilibria at the points where the two player's best responses agree in Figure 3.

: New Note Actions let the previous note in a track fade out on top of the next note ( providing greater effective polyphony ).

Note that some of the previous counties, e. g. the Zarandiensis, were part of Transylvania at this time.

Note this album is not available on iTunes, unlike the artist's previous and subsequent work ; no explanation has been given for this.

Note that a causal relationship between the observations and hypothesis does not exist to cause the observation to be taken as evidence, but rather the causal relationship is provided by the person seeking to establish observations as evidence.

( Note that direct observations of minor eruptions can be difficult because of bad weather, hence the uncertainty about the 1942 " eruption.

Note that what follows are not part of standard observations outside of the United States and can vary significantly.

Note that even though the observations may be un-correlated, the parameters are always correlated.

Note that Courvoisier's original observations, published in Germany in 1890, were not originally cited as a ' law ', and no mention of malignancy was made.

Note also that the estimated return period below is a statistic: it is computed from a set of data ( the observations ), as distinct from the theoretical value in an idealized distribution.

Note that in this case the reserve – deposit ratio and currency – deposit ratio are outputs of observations, and fluctuate over time.

Note that strengthened negations may be compatible with weakened forms of AC.

Note that the RGB color may be premultiplied, hence saving the additional multiplication before RGB in the equation above.

Note that this expression is not well-defined for all time series or processes, because the variance may be zero ( for a constant process ) or infinite.

Note: Some web browsers may display the Hebrew text in this article in the opposite direction.

: Note: Individual casinos may pay some of these bets at different payout ratios than those listed below.

Note that orthography is not a good guide for identifying clitics: clitics may be written as independent words, bound affixes, or separated by special characters ( e. g., apostrophe ).

Note that such engines may not produce their full rated power using 87 octane gasoline under all circumstances due to the delayed ignition timing.

Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").

Note: This study only involved male subjects which may be significant as sex steroids may have different effects in the responses to cortisol administration.

Note that the concept of an indirect object may be rendered by a prepositional phrase.

Note that any valid SGML or XML document that references an external subset in its DTD, or whose body contains references to parsed external entities declared in its DTD ( including those declared within its internal subset ), may only be partially parsed but cannot be fully validated by validating SGML or XML parsers in their standalone mode ( this means that these validating parsers will not attempt to retrieve these external entities, and their replacement text will not be accessible ).

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 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 front panel sizes are slightly less than the subrack sizes: for example a 3U front panel may only be high whereas the 3U subrack itself is high.

Note that with this definition, two elements a and b may very well have several greatest common divisors, or none at all.

Note also that ' br ' is an empty element in that, while it may have attributes, it can take no content and it may not have an end tag.

Methods PUT and DELETE are defined to be idempotent, meaning that multiple identical requests should have the same effect as a single request ( Note that idempotence refers to the state of the system after the request has completed, so while the action the server takes ( e. g. deleting a record ) or the response code it returns may be different on subsequent requests, the system state will be the same every time ).

Note: The head of state in a " presidential " system may not actually hold the title of " president "-the name of the system refers to any head of state who actually governs and is independent of the legislature.

) Note that not all airports are assigned codes in both systems — for example, airports that do not have airline service may not need an IATA code.

( Note: Some older operating systems may handle such values incorrectly ( i. e., signed instead of unsigned ), which would make it impossible to access files larger than 2 GB in size.

Note that the longitude is singular at the Poles and calculations that are sufficiently accurate for other positions, may be inaccurate at or near the Poles.

Note that these arguments may indeed have validity, but they require some independent justification of the connection between their terms: otherwise the argument ( as a logical tool ) remains fallacious.

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.