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 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.

* 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 the Secretary has a reporting line to the Board of Directors, regardless of any other reporting lines conferred by concurrent titles.

Note, however, that the Treasurer has a reporting line to the Board of Directors, regardless of any other reporting lines conferred by concurrent titles.

Note that no consistent timeline has yet accommodated every single Conan story.

Note that the non-penalized team has the option to decline any penalty it considers disadvantageous, so a losing team cannot indefinitely prolong a game by repeatedly committing infractions.

Note that the chocolate pictured here is soft, can easily be crumbled by hand, and already has sugar added.

Note: In the United Kingdom the first trilogy has been collected as an omnibus edition titled Corum, Swords of Corum and most recently Corum: The Prince in the Scarlet Robe ( vol.

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

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 the first element in a sequence has the index one and that $ refers to the length ( i. e. total number of elements ) of the sequence.

Note that purnima or pornima is Sanskrit for full moon, which has also become the Malay word for full moon purnama.

// Note this code sample has been mangled ( missing attr init / scope?

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 ).

Like all subatomic particles, hadrons are assigned quantum numbers corresponding to the representations of the Poincaré group: J < sup > PC </ sup >( m ), where J is the spin quantum number, P the intrinsic parity ( or P-parity ), and C, the charge conjugation ( or C-parity ), and the particle's mass, m. Note that the mass of a hadron has very little to do with the mass of its valence quarks ; rather, due to mass – energy equivalence, most of the mass comes from the large amount of energy associated with the strong interaction.

( Note: The Turkish word " ocak " has the double meaning of home and fireplace, like the Spanish " hogar ".

Note: Ringette distances itself from hockey as it has its own set of rules and is closely related to a mix of lacrosse and basketball.

Note that, in the first part of the second premise, the present-tense verb, " putting ," has been changed to the infinitive, " to put.

Note: Work has started in 2006 on a city wide WiFi project called Hotcity.

Note that one denomination dominates the non-Mormon section of the movement: Community of Christ, which has about 250, 000 members.

Note that not every probability distribution has a defined mean ; see the Cauchy distribution for an example.

Note: A number of other plants have been suggested by biblical scholars, e. g., Most notably Ginseng which looks similar to the mandrake root and has fertility enhancing properties, for which it was picked by Reuben in the Bible.

Note that although Be < sub > 2 </ sub > has a bond order of 0 according to MO, there is experimental evidence of a highly unstable Be < sub > 2 </ sub > compound having a bond length of 245 pm and bond energy of 10kJ / mol.

Note that E ( at 2f ) has an equal-size, real and inverted image ; I ( at f ) has its image at infinity ; and K ( at f / 2 ) has a double-size, virtual and upright image.

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

Treasury Notes are generally considered to be inherently less risky than real estate, since the value of the Note is guaranteed by the US Government and there is a liquid market for the purchase and sale of T-Notes.

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 a point is generally considered a tapering piece of land projecting into a body of water that is less prominent than a cape.

Note 2: A duplexer must provide adequate rejection of transmitter noise occurring at the receive frequency, and must be designed to operate at, or less than, the frequency separation between the transmitter and receiver.

Note that with this definition, unlike SNR, a SINAD reading can never be less than 1 ( i. e. it is always positive when quoted in dB ).

Note that this method does not reduce total radiated energy, and therefore systems are not necessarily less likely to cause interference.

Note that this is also true if the boundary is the empty set, e. g. in the metric space of rational numbers, for the set of numbers of which the square is less than 2.

Note that, if the language is infinite, the enumerating algorithm provided can be chosen so that it avoids repetitions, since we can test whether the string produced for number n is " already " produced for a number which is less than n. If it already is produced, use the output for input n + 1 instead ( recursively ), but again, test whether it is " new ".

( Note that the same equation applies for recoil energy losses in x-rays, but the photon energy is much less, resulting in a lower energy loss, which is why gas-phase resonance could be observed with x-rays.

Note, however, that the DCT-I is not defined for N less than 2.

Note that, for more serious allergies, there are several breeds theorized to lack or produce less of the offending protein, see Cat allergy.

Note that an air source heat pump is more efficient in hotter climates than cooler ones, so when the weather is much warmer the unit will perform with a higher COP ( as it has less work to do ).

Note that the vertical scale is logarithmic ( each step down is 10 < sup > 20 </ sup > times less likely ).

Note: Indoor distances are less standardized as many facilities run shorter or occasionally longer distances depending on available space.

Note that of the above list of strategic terms, even this elementary summary indicates that the Mongols strategy was directed towards an objective ( that schwerpunkt ( main focus ) being nothing less than the psychology of the opposing population ) achieved through the offensive ; the offensive was characterized by concentration of forces, manoeuvre, surprise and simplicity.

Note that even Star Wars ' over-the-top Galactic Empire encompassed less than half of the Star Wars galaxy, according to the Expanded Universe materials.

Note that it's not possible with one spade less in the layout: there would be no room in South's hand to keep the squeeze card, two red menaces, and an entry card ( small spade ) in only 3 cards.

Note that the stars near the celestial pole make less of a trail with the long exposure.

Note also, that in the case of air, this convention is much less accurate.

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 a negative number with greater magnitude is considered less.

Note also that the minimum speed achieved during Saturnian orbit is more or less equal to Saturn's own orbital velocity, which is the ~ 5 km / s velocity which Cassini matched to enter orbit.

Note that besides eliminating branches, less code is needed in total, provided the architecture provides predicated instructions.