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Page "Vorlesungen über Zahlentheorie" ¶ 28

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Note and Göttinger

** Note: This is the third volume of Kästner's Mathematische Anfangsgründe, which can be viewed online at the Göttinger Digitalisierungszentrum.

Note and has

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.

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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 PC ( 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 2 has a bond order of 0 according to MO, there is experimental evidence of a highly unstable Be 2 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.

Note and scanned

Note that under this implementation the input string is scanned from right to left.

Note and copy