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 completeness is a property of the metric and not of the topology, meaning that a complete metric space can be homeomorphic to a non-complete one.

Note, however, that the representation is not complete on the set of square-integrable functions.

Note also that until well into the 20th Century, rather than an official readying the ball for scrimmage, the side entitled to the snap had complete custody of the ball and could snap it from the required spot at any time ; for instance, a tackled ball carrier might feign injury, then suddenly snap the ball while recumbent, there being no stance requirement yet.

Note: This list is not complete.

Note, however, that phrases can still be acknowledged insofar as any complete subtree that contains two or more words will qualify as a phrase.

Note that the tautology problem for positive Boolean formulae remains co-NP complete, even though the satisfiability problem is trivial, as every positive Boolean formula is satisfiable.

Note that neither of these statements implies the other, since there are complete metric spaces which are not locally compact ( the irrational numbers with the metric defined below ; also, any Banach space of infinite dimension ), and there are locally compact Hausdorff space which are not metrizable ( for instance, any uncountable product of non-trivial compact Hausdorff spaces is such ; also, several function spaces used in Functional Analysis ; the uncountable Fort space ).

Note that if the parenthetical does not contain a complete sentence, the writer should not place final punctuation, such as a period, inside the parenthetical.

* Note: The £ 55m project is now complete, and the new school includes a media suite, library, town square, sports hall, and a huge hall dubbed ' The Devon Hall '.

Note: this list is not complete.

Note that in 2004, NYS RT17 started the process of being updated to an Interstate highway and is nearly complete.

( Note: As yet there is no complete collected edition of Cui's writings.

Note that this version of the algorithm is not complete, i. e. it does not always find a possible path between two nodes even if there is one.

Note that a one-bit change to the ciphertext causes complete corruption of the corresponding block of plaintext, and inverts the corresponding bit in the following block of plaintext, but the rest of the blocks remain intact.

Note that the analyses agree concerning the non-finite VP finished the work ; both see it as a constituent (= complete subtree ).

Note that this list of calculator models may not be complete.

( Note that to get complete responses it may be necessary to include thousands of additional participators.

Note that will not necessarily wait for any subsequent RCU read-side critical sections to complete.

Note that the logic gate at the core of the buffered part is actually a NAND gate, but the overall function of the complete circuit is a NOR gate due to the logic inversions performed by the buffers.

* Gmane's complete list of hosted lists ( Note: may be slow to load )

Note: a complete bibliography of all English translations of Schmitt's books, articles, essays, and correspondence is available here.

Note ( Not a complete list of specialties ):

Note also that a join-semilattice which is directed complete is almost a complete lattice ( possibly lacking a least element ) -- see completeness ( order theory ) for details.

Note: Any nonlinear electronic block driven by two signals with frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub > would generate intermodulation ( mixing ) products.

Note, however, that this type of signature is not related to electronic signatures or digital signatures, which are more technical in nature and not directly readable by human eyes.

Note, the Nikon F4 ( Japan, 1989 ) was specified to reach a timed shutter speed of 999 hours with the use of the accessory electronic Multi Control Back MF-23.

From 1998 – 2005, MMW were signed to leading jazz label Blue Note Records, and showed them delving deeper into dense, electronic funk than their earlier albums, although the band continued to experiment with free jazz and free improvisation both on their albums and in concert.

Note the electronic display in Chinese, which reports on road conditions.

Note the fact that smoke detectors were not common until the 1960s ; even then used primarily for museums, art galleries, and electronic equipment protection.

Note that an Enterprise Messaging System should not be confused with an electronic mail system used for delivering human readable text messages to individual people.

Note that, as was common in typewriter s of the time, there is no key for the number 1 ( lower case L was used instead ). The computer contained 113 electronic tubes and 1450 diodes.

Though Miles ' work is closely associated with Blue Note, and has earned iconic status and frequent homage, Miles was only a casual jazz fan, according to Richard Cook ; Blue Note gave him several copies of each of the many dozens of albums he designed, but Miles gave most to friends or sold them to second-hand record shops.

Initial copies came with a 7 " or CD single, " I Know Very Well How I Got My Note Wrong ", credited to " Vincent Gerard and Steven Patrick ", in which a take of the Morrissey B-side " I Know Very Well How I Got My Name " dissolves into laughter after Reilly hits a wrong note.

Let k be a field and L and K be two extensions of k. The compositum, denoted KL is defined to be where the right-hand side denotes the extension generated by K and L. Note that this assumes some field containing both K and L. Either one starts in a situation where such a common over-field is easy to identify ( for example if K and L are both subfields of the complex numbers ); or one proves a result that allows one to place both K and L ( as isomorphic copies ) in some large enough field.

This is n direct sum equivalent copies V. Note that if ρ < sub > 1 </ sub > and ρ < sub > 2 </ sub > are equivalent G-irreducible representations, the respective images of the intertwining matrices would give rise to the same G × G-irreducible representation of C.

Note: Internet Archives lists more copies of some of these titles.

( Note :) Although stock copies have apparently never turned up, according to Michel Ruppli & Ed Novitsky's " The Mercury Labels " Greenwood Press, 1993, " Janine " from the previous album was intended as the B side of the edited " All The Madmen " single ( Mercury 73173 ).

* Note: limited edition of 200 copies, a copy is available from Medway libraries.

( Note: The Two-Player trials mode was affected by a glitch in early copies of the Nintendo 64 game, which prevented progressing past a certain point.

Note: Given that intensive studies of the I Grill began only recently, additional copies of the I Grill issues listed here may well be discovered in the future.

Note that different copies of the game, even on the same computer platform, have differences in which items the spies want.