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Page "Axiom of choice" ¶ 108
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Note and any
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 the same set of points would not have, as an accumulation point, any point of the open unit interval ; hence that space cannot be compact.
Note that for any fixed w the function f ( x ) = F ( w x ) is computable ; thus the universality property states that all computable functions of one variable can be obtained in this fashion.
Note: The Finish, Wins, Losses, and Ties columns list regular season results and exclude any postseason play.
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 any valid SGML or XML document that references an external subset in its DTD, or whose body contains references to parsed external entities declared in its DTD ( including those declared within its internal subset ), may only be partially parsed but cannot be fully validated by validating SGML or XML parsers in their standalone mode ( this means that these validating parsers will not attempt to retrieve these external entities, and their replacement text will not be accessible ).
Note that the terms constructive and critical are used to refer to aspects of deistic thought, not sects or subtypes of deismit would be incorrect to classify any particular deist author as " a constructive deist " or " a critical deist ".
Although siblinghood is symmetric ( if A is a sibling of B, then B is a sibling of A ) and transitive on any 3 distinct people ( if A is a sibling of B and C is a sibling of B, then A is a sibling of C, provided A is not C ( Note that " is a sibling of " is NOT a transitive relation, since A R B, and B R A implies A R A by transitivity )), it is not reflexive ( A cannot be a sibling of A ).
Note though that the value is infinite, for any.
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: The head of state in a " presidential " system may not actually hold the title of " president "-the name of the system refers to any head of state who actually governs and is independent of the legislature.
Note that these drugs do not treat hyperthyroidism or any of its long-term effects if left untreated, but, rather, they treat or reduce only symptoms of the condition.
Note that is positive while is negative ; in any reversible work-extracting process, entropy is overall not increased, but rather is moved from a hot ( high-entropy ) system to a cold ( low-entropy one ), decreasing the entropy of the heat source and increasing that of the heat sink.
Note that this criterion only requires the value to be uniformly distributed, not random in any sense.
Note: The Finish, Wins, Losses, and Ties columns list regular season results and exclude any postseason play.
Note also that the unraveling of the chunks can be done in any place in the literate program text file, not necessarily in the order they are sequenced in the enclosing chunk, but as is demanded by the logic reflected in the explanatory text that envelops the whole program.
Note: For any arbitrary number of propositional constants, we can form a finite number of cases which list their possible truth-values.
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 however that Kierkegaard's meaning of " nihilism " differs from the modern definition in the sense that, for Kierkegaard, levelling led to a life lacking meaning, purpose or value, whereas the modern interpretation of nihilism posits that there was never any meaning, purpose or value to begin with.
Note: The Finish, Wins, Losses, and Ties columns list regular season results and exclude any postseason play.
( Historical Note: Prior to the coining of the term " consequentialism " by Anscombe in 1958 and the adoption of that term in the literature that followed, " utilitarianism " was the generic term for consequentialism, referring to all theories that promoted maximizing any form of utility, not just those that promoted maximizing happiness.
Note that that while bound orbits around a point mass or around a spherical body with an Newtonian gravitational field are closed ellipses, which repeat the same path exactly and indefinitely, any non-spherical or non-Newtonian effects ( as caused, for example, by the slight oblateness of the Earth, or by relativistic effects, changing the gravitational field's behavior with distance ) will cause the orbit's shape to depart from the closed ellipses characteristic of Newtonian two-body motion.
Note that both " persons and estates " are to be protected from the arbitrary power of any magistrate, inclusive of the " power and will of a legislator.

Note and model
Note however that both in algebra and model theory the binary operations considered are defined on all of S × S.
Note that unlike Hypatia he did not study ' mathematics, philosophy and astronomy ', thus he and his followers came into conflict with the ancient University of Alexandria which pursued all forms of knowledge including science and human anatomy, politics and history according to the model inaugurated by Alexander the Great, the founder of Alexandria.
: Note this model assumes the particle is a point mass, which is certainly known to be false in many cases in which we use this model ; for example, as a model of planetary motion.
Note that in this model, the two fission fragments are the same size.
Note that the force balance itself creates drag and potential turbulence that will affect the model and introduce errors into the measurements.
Those trials were sanctioned and supervised by NASCAR. Note: between 1964 and 1966, Oldsmobile named its least expensive full size model the Oldsmobile Jetstar 88 which the Jetstar I was not related to, and priced $ 500 –$ 600 below the Jetstar I.
Note that the adjective ' hidden ' refers to the state sequence through which the model passes, not to the parameters of the model ; even if the model parameters are known exactly, the model is still ' hidden '.
Note that the use of natural numbers both in S and the existential quantification merely reflects the usual applications in computability and model theory.
Note that in the standard Shakura-Sunyaev model, viscosity is proportional to the total pressure since
Note the ' grid squares thus formed are far larger than the city blocks described earlier, and the road layouts within the grid squares are generally ' organic ' in form — matching the ' street hierarchy model described above
Note that unlike the liar paradox or Russell's paradox, this paradox does not depend on what model of negation is used, as it is completely negation-free.
Note that many simpler levels of climate model exist ; some are of only heuristic interest, while others continue to be scientifically relevant.
Note that to include a constant in the model above, one can choose to include the variable X < sub > K </ sub > all of whose observed values are unity: X < sub > iK </ sub > = 1 for all i.
a function that associates a header with each relation name in R. ( Note that this is a simplification from the full relational model where there is more than one domain and a header is not just a set of column names but also maps these column names to a domain.
Note: Cisco recommends that all Cisco IOS devices implement the authentication, authorization, and accounting ( AAA ) security model.
( Note that the model can be described mathematically and that words like " predict ", " surprise ", and " expect " are only used to help explain the model.

Note and C
Note that a locally finite Borel measure automatically satisfies μ ( C ) < ∞ for every compact set C.
Note that this expression indicates compositing C with all of the layers below it in one step and then blending all of the layers on top of it with the previous result to produce the final image in the second step.
* Peirce, C. S. ( 1876 ), " Note on the Theory of the Economy of Research ", Appendix No. 14 in Coast Survey Report, pp. 197 – 201, NOAA PDF Eprint.
Note a reference to C. P. Snow's The Search, and sound views on counterpoint versus harmony.
Then, once this claim ( expressed in the previous sentence ) is proved, it will suffice to prove " φ is either refutable or satisfiable " only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ ( i. e., ( φ ≡ ψ ) is provable ), then it is indeed the case that " ψ is either refutable or satisfiable " → " φ is either refutable or satisfiable " ( the soundness theorem is needed to show this ).
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.
*" C Note " ( 2005, Photek Productions ) feat.
" A Note on C. S. Lewis's The Screwtape Letters.
Note 1: The FCC registration program requires the registering of terminal equipment and protective circuitry in accordance with Subpart C of part 68, Title 47 of the Code of Federal Regulations.
Note 1: Use of FTS2000 contract services is mandatory for use by U. S. Government agencies for all acquisitions subject to 40 U. S. C.
Note that the bef2c compiler is not correct since it does not handle either ' p ' or string mode, but it would not be impossible to make it do so ( although the C language might not be well-suited for this ).
Note that both sand and tarmac can become very hot when exposed to the sun, easily being more than 10 ° C hotter than the air one meter above, enough to cause the mirage.
Note that C < sub > v </ sub > is in eV / Å < sup > 3 </ sup > and Z < sub > 0 </ sub > in Å.
Note that OpenMP is also available in Fortran 90 and C ++ for intra-node parallelization.
* Bown, H. G., O ' Brien, C. D., Sawchuck, W., and Storey J. R. " A General Description of Telidon: A Canadian Proposal for Videotex Systems ", CRC Technical Note No. 697-E, Department of Communications, December 1978
( Note Erith & Belvedere F. C.
( Note that it takes values into R, rather than C ; this is for physical reasons, and doesn't really matter for this proof.
Note that if C does not terminate, then there is no " after ", so Q can be any statement at all.
The promised geometric property of reflexive Banach spaces is the following: if C is a closed non-empty convex subset of the reflexive space X, then for every x in X there exists a c in C such that || x − c || minimizes the distance between x and points of C. ( Note that while the minimal distance between x and C is uniquely defined by x, the point c is not.

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