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 is subtly different to the ' thanks ' list in the original BBC Model B.

( Note, however, that a GC stacking interaction with the next base pair is geometrically different from a CG interaction.

Note that this is different from the recursive languages which can be decided by an always-halting Turing machine.

Note that the points must all be different numbers for them to count towards the fire bet.

: Note: Individual casinos may pay some of these bets at different payout ratios than those listed below.

Years are usually counted from a particular starting point, usually called the epoch, with era referring to the particular period of time ( Note the different use of the terms in geology ).

Note that pure application of this method may provide only a partial ordering on the strings, since different strings can represent the same number ( as with " 2 " and " 2. 0 ", or when scientific notation is used, " 2e3 " and " 2000 ").

Note: This study only involved male subjects which may be significant as sex steroids may have different effects in the responses to cortisol administration.

Note: In Australia, this is different.

Note that this is different from the original Elfengold published by White Wind.

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.

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 ).

Note the map indicates the contemporary coast lines, which are different, in parts of the English Channel and the North Sea, from those of Roman Britain.

Note that the orange circles appear of different sizes, even though equal.

: is a spherical harmonic function of degree ℓ and order m. Note that the generalized Laguerre polynomials are defined differently by different authors.

Note the different check digits in each.

( Note: this study-cycle follows a different schedule than the regular one ; contains extensive archives in English ).

( Note: Astronomy should not be confused with astrology, which assumes that people's destiny and human affairs in general are correlated to the apparent positions of astronomical objects in the sky -- although the two fields share a common origin, they are quite different ; astronomers embrace the scientific method, while astrologers do not.

Note this does not restrict dormant forms of life to these environments, so this argument only contradicts the widest interpretation of panspermia — that life is ongoing and is spread across many different environments throughout the Universe — and presupposes that any life needs those elements, which the proponents of alternative biochemistries do not consider certain.

Note that " secure " here has a precise mathematical meaning, and there are multiple different ( meaningful ) definitions of what it means for an encryption scheme to be " secure ".

Note that an eight-dimensional vector can be specified in many different ways depending on what basis is chosen for the space.

Note that the term " automatic revolver " has two different meanings.

* The probability a set will have features different and features the same is ( Note: d = 0 all four features the same is impossible as no two cards are identical ).

Note 1: Compared to tactical communications, long-haul communications are characterized by ( a ) higher levels of users, such as the National Command Authority, ( b ) more stringent performance requirements, such as higher quality circuits, ( c ) longer distances between users, including world wide distances, ( d ) higher traffic volumes and densities, ( e ) larger switches and trunk cross sections, and ( f ) fixed and recoverable assets.

: Note: Low-performance equipment may be used in loops if it meets loop performance requirements.

( Note that byte-code enhancement is not mandated by the JDO specification, although it is the commonly used mechanism for implementing the JDO specification's requirements.

Note that the requirements activity takes place in multiple sections and in multiple iterations, just as planning and risk analysis occur in multiple places.

Note: As of 2005, women who satisfy the age and citizenship requirements are allowed to vote provided both men and women vote in separate polling locations.

Note that because the various definitions of " open standard " differ in their requirements, the standards listed below may not be open by every definition.

Note, this is dependent on the particular country's accessibility requirements.

Note that these requirements are for the award of the HSC.

Note that the BSBA ( Bachelor of Science in Business Administration )-a variant on this degree-usually differs as regards to General educational requirements.

Note that the latter two structures extend the application of these principles beyond mere completeness requirements by introducing an additional operation of negation.

Note that 6th and 9th graders have the option of competing in either of the two divisions in which they meet the grade requirements and are part of the competing school.

( Note: in 1970, NASCAR bumped its homologation requirements, which meant that Plymouth had to actually build nearly 2, 000 Superbirds, rather than just 500 ; thus, Plymouth paid very dearly for the Superbird's 8 NASCAR wins in 1970, in order to take the 1970 NASCAR championship.

Note that there are some assumptions and requirements that have to be fulfilled for the latter to be correct: There must be perfect competition in the market, and the total number of factors may never surpass the total number of assets ( in order to avoid the problem of matrix singularity ),

Although legislation set out the broad requirements of the Minimum Funding Requirement, the details of the methods and assumptions to use were specified in Guidance Note 27, issued by the Institute of Actuaries and the Faculty of Actuaries.

Note that children of Indian parents do not automatically fulfil these requirements, and are therefore not automatically eligible for OCI.

Note that for the last mission phase, trans-earth injection, fuel requirements differ depending on whether the Service Module Propulsion System ( SPS ) or the Lunar Module's Descent Engine ( DPS ) is used, however the required delta-v is the same for either burn.

Note that while these reductions are stronger in the sense that they provide a finer distinction into equivalence classes, and have more restrictive requirements than Turing reductions, this is because the reductions themselves are less powerful ; there may be no way to build a many-one reduction from one set to another even when a Turing reduction for the same sets exists.

Note that the business requirements often can be broken up into sub-business requirements and many functional requirements.

" Note 1 — H grade material is identical to the corresponding numeric grade ( that is, Grade 2H = Grade 2 ) except for the higher guaranteed minimum UTS, and may always be certified as meeting the requirements of its corresponding numeric grade.

Note that not all these degrees can be completed at IUPUC ; some require transferring to IUPUI to fulfill the degree requirements.

Note that Mortran, like many preprocessors, does not make a complete analysis of the Fortran source and, like many preprocessors, may not always make its assumptions / requirements explicit.

Note that if you'd used a less extreme example ( say, putting point B in Stockton ), the violation of the requirements of the hypothesis would not have been obvious.