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 that for a Euclidean function that is so established there need not exist an effective method to determine q and r in ( EF1 ).

Note that whether a method is idempotent is not enforced by the protocol or web server.

( Note: Astronomy should not be confused with astrology, which assumes that people's destiny and human affairs in general are correlated to the apparent positions of astronomical objects in the sky -- although the two fields share a common origin, they are quite different ; astronomers embrace the scientific method, while astrologers do not.

An alternative recording method not requiring a grid is also in use, where positions on a board are labeled left to right by letters a through h and top to bottom ( far-to-near ) by digits 1 through 8 ( Note that this is the opposite of the chess standard, with numerals running upward away from the side ( White ) that has a through h left to right, and also that the perspective may be that of either player ( with no fixed standard )), so that the very first move of a game may be ( based upon standard starting set-up ) d3, c4, f5 or e6.

( Note that in a casino stud game with a house dealer and no button this gives an unfair advantage to players on the dealer's left, so the high card by suit method is preferred ).

The tree is rotated on the edge joining p with its parent g, then rotated on the edge joining x with p. Note that zig-zig steps are the only thing that differentiate splay trees from the rotate to root method introduced by Allen and Munro prior to the introduction of splay trees.

( Note: Such a physical exam is no longer considered a valid method of determining ancestry.

The following example of an ASP page with VBScript displays the current time in 24-hour format ( Note that an '=' sign occurring after a context switch (<%) is short-hand for a call to Write () method of the Response object ), but it is also used as the default script for error messages with the windows operating systems.

Note that this method of determining the key of the instrument is different from the method used to determine the key of a chromatic instrument, which is based on the relationship between notes on a score and sounded pitch.

Note that in the referenced Gray and Atkinson paper, they hold that their methods can not be called " glottochronology ", by incorrectly confining this term to its original method.

Note that the choice of a variable bitrate ( VBR ) method only affects the encoding process.

Note that this correction method does not incorporate how to handle complex values of or.

Note that the above method will determine the smallest of the two possible angles — it will never be more than 180 °, as the value of the cosine is symmetric between the upper and lower halves of the unit circle.

Note that the scheduler pattern adds significant overhead beyond that required to call a synchronized method.

Note that this method does not always generate maximal basic blocks, by the formal definition, but they are usually sufficient ( maximal basic blocks are basic blocks which cannot be extended by including adjacent blocks without violating the definition of a basic block ).

( Note that the energy is already being generated elsewhere to provide the high initial gas pressure-this method simply distributes the energy via a different route.

Note: This method may also work in the middle of a row, further away from the borders.

( Note: the examples given here are better examples of Coombs ' method than disapproval voting as described here )

Note that this method of computing vacuum energy is mathematically equivalent to having a quantum harmonic oscillator at each point and, therefore, suffers the same renormalization problems.

Note that such a method implies that the synthesizer is monophonic.

Note that this method can never absolutely verify ( prove the truth of ) 2.

Note that a traditional method in Tamil Nadu avoids greasing and uses pure white cloth which is placed on moulds and batter is poured over it after the idlis are cooked the trays along with cloth are inverted upside down in a plate & water is sprinkled on the cloth, then the cloth is pulled & idlis come out without sticking to the cloth.

Note that though the ideal gas itself contains no additional energy, the compressed gas does exert an increased pressure.

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 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: Botswana does not have a westernmost point as the western section is formed by the 22nd meridian of longitude east of Greenwich.

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 traditional Berkeley DB also supports a Java API, but it does so via JNI and thus requires an installed native library.

* Note: technically Chad does not have an easternmost point, the northern section of the border being formed by the 24 ° of latitude

Note: in Greek, the term for " consul " is " ypatos ", which translates as " supreme one ", and hence does not necessarily imply a joint office.

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 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 this does not require 100 % awareness from the onset of the data warehousing effort, no master plan is required upfront.

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

( Note, chart does not include population statistics.

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 Reynolds does not object to the Marxist use of the term feudalism.

* * Note: Guinea does not have a northern-most point, this section of the border being formed by a straight horizontal line

* * Note: Guinea-Bissau does not have a northern-most point, the border here being formed by a straight horizontal line

Note that chair does not change form between " the chair is here " ( subject ) and " I saw the chair " ( direct object ), a distinction made by word order and context.

Note that ƒ cannot be extended to a homomorphism of rings ( from the complex numbers to the real numbers ), since it does not preserve addition:

Note that this " high temperature " approximation does not distinguish between fermions and bosons.

* * Note: Morocco does not have a southern-most point, the border being formed by a straight horizontal line

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 while Mercury does allow impure functionality, it is not necessary in most software, and serves primarily as a way of calling foreign language code.