Note that chemists often write H < sup >+</ sup >( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >.

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 " offshoring " is not synonymous with " outsourcing ", which means " to subcontract from an outside supplier or source ", such as when a business outsources its bookkeeping to an accounting firm.

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, not all CUC members like this playful reading and so when these people write the abbreviation they leave out the star (*), just writing UU instead.

Note the changes in subpixel intensity that are used to increase effective resolution when ClearType is enabled — without ClearType, all sub-pixels of a given pixel have the same intensity.

Note that the oil is gaseous when entering the nozzles.

Note that a mixture with a given composition has one boiling point at a given pressure, when the components are mutually soluble.

( Note that we are imagining the vector field to be like the velocity vector field of a fluid ( in motion ) when we use the terms flow, sink and so on.

( 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.

Note: The all or none principle is met when all patients died before the Rx became available, but some now survive on it ; or when some patients died before the Rx became available, but none now die on it.

Cultured skin and prostate cancer cells showed significant mortality ( compared to nonmalignant cells ) when treated with a combination of quercetin and ultrasound Note that ultrasound also promotes topical absorption by up to 1, 000 times, making the use of topical quercetin and ultrasound wands an interesting proposition.

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.

Note that we ignored the quotient in each step except to notice when the remainder reached 0, signalling that we had arrived at the answer.

Note also that the oar can be used to provide a drag force ( a force acting against the forward motion ) when the system is brought to rest.

Note: during 1998, the exchange rate splintered into four distinct rates ; in January 1999 the government floated the guilder, but subsequently fixed it when the black-market rate plunged ; the government then allowed trading within a band of SRG 500 around the official rate

Note that when N = R, the map dφ < sub > x </ sub >: T < sub > x </ sub > M → R coincides with the usual notion of the differential of the function φ.

( Note that when DAW published his first book he was able to obtain the " Superstar " imprint for it, resulting in other authors-many who had more than one Hugo-requesting the same and a great deal of discontent ).

Note that the fronted variant caused by umlaut was originally allophonic ( i. e. a variant sound automatically predictable due to the context ), but later became phonemic ( a separate sound in its own right ) when the context was lost but the variant sound remained.

Note that these calculations are only valid for when the incoming air is accelerated from a standstill-for example when hovering.

Note: Alarm sensors may also be redundant or chained, such as when one alarm sensor is used to protect the housing, cabling, or power protected by another alarm sensor.

Note that it is the nature of all screws and helices that it does not matter in which direction you point your thumb when determining its handedness.

Note that routine upper and lower GI endoscopy ( i. e., gastroscopy and colonoscopy ), with or without biopsy, are not usually considered indications for antibiotic prophylaxis.

Note: If at the beginning of the routine abs ( dx ) < abs ( dy ) is true, then all plotting should be done with x and y reversed.

Note that in each iteration of Kaprekar's routine, the two numbers being subtracted one from the other have the same digit sum and hence the same remainder modulo 9.

* UA or UUA used to identify the PIREP as routine or urgent ( Note: in Canada this is indicated by the prefix to the PIREP: " UACN01 " for an urgent PIREP or " UACN10 " for a normal PIREP ).

( 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 that this is subtly different to the ' thanks ' list in the original BBC Model B.