Note: Step ( in the description below ) is defined as: a transfer / change of weight to the opposite foot while hopping ( this is usually minimal ; almost more of a scoot than a literal hop ).

Note that this description is meant only as an heuristic ; a proper understanding requires a quantum-mechanical description.

Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.

Some such books include a separate ' Note about the type ', which will identify the names of the primary typefaces used, provide a brief description of the type's history and a brief statement about its most identifiable physical characteristics.

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: the below description of Prince He's life as Prince of Changyi are based on description of him written after he was deposed, and may very well be biased or fabricated.

Note: The following description is based on the player making the correct choices and successfully completing the game.

where is the number of ways to distribute cards between hands of two cards each .< ref name =" prod " group =" Note "> See " Capital Pi notation for multiplication " for a description of the ( capital π or pi ) symbol .</ ref > is the factorial # Double factorial | double factorial operator: ( 2n-1 )!!

Note that this description assumes the checks are being done in world space.

Note the Apostle Paul's description of this process, that the disciple " not be conformed to this world, but be transformed by the renewing of your minds, so that you may discern what is the will of God — what is good and acceptable and perfect.

Note that virtually all computer software implementing these spaces use a very rough approximation to calculate the value they call " saturation ", such as the formula described for HSV and this value has little, if anything, to do with the description shown here.

Note on the taxonomy of the family Notobranchaeidae and description of Notobranchaea bleekerae n. sp., a species new to science ( Gastropoda, Pteropoda ).

Note that this is an astronomical description of the precessional movement and the vernal equinox position in a given constellation may not imply the astrological meaning of an Age carrying the same name, as they ( ages and constellations ) only have an exact alignment in the " first point of Aries ", meaning once in each ca.

Note that some imaging scientists will include additional " links " in their description of the imaging chain.

* Note: this description of federated databases does not accurately reflect the McLeod / Heimbigner definition of a federated database.

Note: This description is not of a drum circle, in the sense that the term is commonly used.

Note, however, that the description of the problem assumes it is possible to surprise someone who is performing backward induction.

Note: this description of the life of François Bernier is abstracted from a French introduction by France Bhattacharya to an edition of " Voyage dans les Etats du Grand Mogol " ( Paris: Fayard, 1981 ).

Note: The above is a description of what the game SAYS, in reality the Wizard gets more spell POINTS then any other class, but cannot cast priestly spells ( like the hugely important protection from level drain ).

Note: The above is a description of what the game SAYS, in reality the Sage does not gain experience for exploring, but CAN use weapons and items ( unlike the monk ) AND can learn all spells in the game.

Note that this creates a circle of self-intersection.

Note that many Australians refer to all sub-degree courses as ' TAFE ' courses, no matter what institution creates or delivers the course.

Note that the force balance itself creates drag and potential turbulence that will affect the model and introduce errors into the measurements.

Note that the Application has no idea what kind of GUIFactory it is given or even what kind of Button that factory creates.

Note Foster's compositional techniques, particularly how perspective creates a visual flow of Viking raiders from left to right, a flow that stops abruptly just before the figure of Prince Valiant highlighted against a dark background.

Note that it also creates a class from the extension of the intensional set.

Changes included, among others, Note Expression where " each individual note ( event ) in a polyphonic arrangement can contain extensive articulation information, which creates unparalleled flexibility and a much more natural feel of playing.

Note that since the waiting call creates an audible ( for example, a 440 Hz beep every ten seconds in North America ), call waiting can cause dial-up Internet access connections to terminate, unless the modem supports the most recent V. 92 modem standard.

( Note that blogspam has another, more common meaning, namely the post of a blogger who creates no-value-added posts to submit them to other sites.

Note that it is also possible to indicate forbidden systems using a separate SID / NID Lockout List in the handset ; however, this is not a recommended approach as it creates control over system selection outside of the PRL.

Note on terminology: the use by the literature of different terms for mammals and non-mammals, for what is really the same structure, creates problems for an article that attempts to encompass the full range of vertebrate species.

Note that, in the above example, " eyes: present ; absent " is also a possible character, which creates issues because " eye color " is not applicable if eyes are not present.

Note: Because the refresh rate has been slowed down by a factor of three, and the resolution is less than half that of typical interlaced video, the flicker in the simulated interlaced portions and also the visibility of the black lines in this image are exaggerated.

Note that the numbers given by Israelite historians of the time were probably exaggerated, considering the fact that the Hasmonean Jews lost the war against Tigranes.

( May 6, 2001 ) Note: Despite its title, this article explains that 1936 journalists exaggerated claims that the crowd was unruly or disrespectful during Bethea's execution.

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 it is often rational to improve a system in an order that is " non-optimal " in this sense, given that some improvements are more difficult or consuming of development time than others.

Note that in other fields, a lower division between high and ultra-high vacuum is common, often 10 < sup >− 7 </ sup > Pa.

Note: it is reported in the scientific literature that some " shock " features, such as small shatter cones, which are often reported as being associated only with impact events, have been found in terrestrial volcanic ejecta.

Note that this should not be confused with the pre-VOIP ' Voice VPN ' deployed by routing calls intelligently in a TDM switching platform, often Nortel DMS100 and customers PBX nodes.

Alice now discards three of her own cards, and replaces them with three from the top of the deck ( Note: in a player-dealt casino game there is often a rule that the dealer must discard before picking up the deck, but this is a home game so we won't worry about such details ).

Note that the air phase is often assumed to be weightless.

Note: the various acronyms in this section are often combined in various ways, such as " TNLNSL, TFTC!

Note that the aspectual systems of certain dialects of English, such as African-American Vernacular English ( see for example habitual be ), and of creoles based on English vocabulary, such as Hawaiian Creole English, are quite different from those of standard English, and often distinguish aspect at the expense of tense.

Note that spelling often becomes phoneticised.

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 this concealment is often preferably outdoors, because firing an RPG within an enclosed area may create a dangerous backblast.

Note that the label Lin – Kernighan is an often heard misnomer for 2-opt.

Note that much of history from 1800-1950 is often not reflected well in general parlance as they are overshadowed by the ' big three ', games on other subjects in this era are often referred to by the actual war they deal with.

) Note that in this case, as in many cases with the term, tough shit is often said as a way of pointing out someone's fault in his / her own current problem.

Note that despite its name, Great Barrier Island not a sandbar barrier which is often defined as the correct use of the term.

Accordingly, a " Preliminary Note of Explanation " ( in Latin, Nota explicativa praevia ", often referred to as " the Nota praevia ") intended to reconcile them with the text was added on 16 November 1964.

Note: Automatic redial is often associated with the telephone instrument, but may be provided by a PBX, or by the central office.

Note 3: The acronym CCS ( Centum Call Seconds ) is often used to describe 100 call-seconds.

Note also that in fiber optic communications, dispersion-limited operation is often confused with distortion-limited operation.

Note: Among subscribers to the public switched telephone network ( s ), the term " private line " is often used to mean a one-party switched telephone line, as opposed to a party line.

( Note that these freeze frame cliffhangers were often abridged in showings in some countries, such as the commercial-free BBC in the United Kingdom ).

" ( Note that while this article argues that chiliasm was not explicitly condemned at this council, the line in the Nicene Creed stating that " His kingdom shall have no end " is often interpreted as having been inserted in opposition to chiliasm, and this creed was reaffirmed by this council.

Note that many modern compilers are capable of re-ordering execution to better optimize processor resources and can often eliminate unnecessary expressions from being executed entirely, if it can be determined that the results of the expressions are not visible to the rest of the program.