Note that the acid can be the charged species and the conjugate base can be neutral in which case the generalized reaction scheme could be written as HA < sup >+</ sup > H < sup >+</ sup > + A.

Note that this case in this example implies that the user was next to the solid object, and not inside it.

( Note: ∇< sup > 2 </ sup > F represents, in this case, the vector formed by the individual Laplacian of each component of the vector in question )

Note that the result of partial function application in this case is a function that takes two arguments.

Note that this statement is only true when the refractive indices of both materials are real numbers, as is the case for materials like air and glass.

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 the probability of finding particles in the same state is relatively larger than in the distinguishable case.

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 the plural suffix "- s " can also influence the form taken by the preceding morpheme, as in the case of the words leaf and knife, which end with in the singular, but have in the plural ( leaves, knives ).

Note that, although capitalization can aid in recognizing named entities in languages such as English, this information cannot aid in determining the type of named entity, and in any case is often inaccurate or insufficient.

Note that in the case of hybrid offences, the Crown must make a binding decision as to whether to proceed summarily or by indictment prior to the defendant making his or her plea.

( Note that A Uachtaráin ( vocative case ) would be the correct address in Irish.

Note that in between some cases, the roles and labels of the nodes are exchanged, but in each case, every label continues to represent the same node it represented at the beginning of the case.

Note that the power injected by the torque depends only on the instantaneous angular speed – not on whether the angular speed increases, decreases, or remains constant while the torque is being applied ( this is equivalent to the linear case where the power injected by a force depends only on the instantaneous speed – not on the resulting acceleration, if any ).

Note that these nutrients become available because of the sapling's decomposition, rather than from the living sapling, which would be a case of parasitism.

Note: An example of bit pairing occurs in the International Alphabet No. 5 and the American Standard Code for Information Interchange ( ASCII ), where the upper case letters are related to their respective lower case letters by the state of bit six.

Note: In DSB-RC transmission, the carrier is usually transmitted at a level suitable for use as a reference by the receiver, except for the case in which it is reduced to the minimum practical level, i. e. the carrier is suppressed.

:: Note: In networks that are based upon the partially connected mesh topology, the data that is transmitted between nodes in the network takes many shortest paths between nodes using a technology like Shortest Path Bridging, except in the case of a failure or break in one of the links, in which case the network uses the remaining alternative paths to the destination.

: Note: partitive case has to be distinguished from partitive meaning which refers to the selection of a part or quantity out of a group or amount, see Partitive.

Note that this is only the case if the source is close to an ideal point source.

Note that in the special case where A is the empty set the meet of A will be the greatest element of L. Likewise, the join of the empty set yields the least element.

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.

* In the Star Wars prequels, the galactic capital planet Coruscant has buildings many miles tall, and approaches the completely built-over condition of Trantor in Isaac Asimov's classic Foundation trilogy ( Note: due to this, Coruscant was originally to be named Jhantor but was eventually renamed Coruscant ).

Note, however, that many municipal bonds are callable, and that this imposes substantial additional risks to the strategy.

The Hollys frequented many of New York's music venues, including The Village Gate, Blue Note, Village Vanguard, and Johnny Johnson's.

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 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.

Notable jazz bassists from the 1940s to the 1950s included bassist Jimmy Blanton ( 1918 – 1942 ) whose short tenure in the Duke Ellington Swing band ( cut short by his death from tuberculosis ) introduced new melodic and harmonic solo ideas for the instrument ; bassist Ray Brown ( 1926 – 2002 ), known for backing Beboppers Dizzy Gillespie, Oscar Peterson, Art Tatum and Charlie Parker, and forming the Modern Jazz Quartet ; hard bop bassist Ron Carter ( born 1937 ), who has appeared on 3, 500 albums make him one of the most-recorded bassists in jazz history, including LPs by Thelonious Monk and Wes Montgomery and many Blue Note Records artists ; and Paul Chambers ( 1935 – 1969 ), a member of the Miles Davis Quintet ( including the landmark modal jazz recording Kind of Blue ) and many other 1950s and 1960s rhythm sections, was known for his virtuosic improvisations.

Note that materialism does not necessarily imply egoism, as indicated by Karl Marx, and the many other materialists who espoused forms of collectivism.

* Texts on Ancient Mathematics and Mathematical Astronomy PDF scans ( Note: many are very large files ).

Note: On many printed calendars of Year II ( 1793 – 94 ), the month of Thermidor was named Fervidor.

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

Note that many of the basic chemical compounds used as detergents ( example: calcium sulfonate ) serve the purpose of the first seven items in the list as well.

#* 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 that this also differs subtly from the molecular mass in that the choice of isotopes is defined and thus is a single specific molecular mass of the many possible.

Note that many of the assumptions made by management have come under attack from business ethics viewpoints, critical management studies, and anti-corporate activism.

: Note this model assumes the particle is a point mass, which is certainly known to be false in many cases in which we use this model ; for example, as a model of planetary motion.

Note that, botanically, what appears to be a single globular flower is actually a cluster of many individual ones.

( Note that many giant-sized characters have a limited ability to manipulate gravity to handle their increased weight.

Note that many vendors sell or have sold multiple architectures.

Note this does not restrict dormant forms of life to these environments, so this argument only contradicts the widest interpretation of panspermia — that life is ongoing and is spread across many different environments throughout the Universe — and presupposes that any life needs those elements, which the proponents of alternative biochemistries do not consider certain.

Note that many of the common polyatomic anions are conjugate bases of acids derived from the oxides of non-metallic elements.

Note that an eight-dimensional vector can be specified in many different ways depending on what basis is chosen for the space.

Note that the " regular expression " features provided with many programming languages are augmented with features that make them capable of recognizing languages that