:: Note: The physical fully connected mesh topology is generally too costly and complex for practical networks, although the topology is used when there are only a small number of nodes to be interconnected ( see Combinatorial explosion ).

Note however that both in algebra and model theory the binary operations considered are defined on all of S × S.

Note that if the operations are performed in a colour space where γ is not equal to 1 then the operation will lead to non-linear effects which can potentially be seen as aliasing artifacts ( or ' jaggies ') along sharp edges in the matte.

Note: Net operations ( a ) allow participants to conduct ordered conferences among participants who usually have common information needs or related functions to perform, ( b ) are characterized by adherence to standard formats and procedures, and ( c ) are responsive to a common supervisory station, called the " net control station ", which permits access to the net and maintains net operational discipline.

Note that Z, equipped with these operations of addition and multiplication, is a ring, and is in fact, the prototypical example of a ring.

Note the kukri on the webbing of the nearest soldier. Gurkhas have had a role in the Falklands War ( 1st Battalion of the 7th ), Gulf War, NATO, Iraq, Afghanistan, operations in Kosovo and UN peacekeeping operations in Bosnia and East Timor.

" For years, however, the currency operations were known by various semi-official labels, such as the " Printing Bureau ," " Small Note Bureau ," " Currency Department ," and " Small Note Room.

Note that modern set-theoretic definitions usually define operations as maps between sets, so adding closure to a structure as an axiom is superfluous, though it still makes sense to ask whether subsets are closed.

Note that this is not the same as being a subset that is a lattice under the original order ( but possibly with different join and meet operations ).

Note that the ( congruence ) closure of a binary relation depends on the operations in, not just on the carrier set.

Note: enabling this setting does not immediately clear the LM hash values from the SAM, but rather enables an additional check during password change operations that will instead store a " dummy " value in the location in the SAM database where the LM hash is otherwise stored.

Note that a path-ordered exponential is a convenient shorthand notation common in physics which conceals a fair number of mathematical operations.

Note that by the first condition quantum operations may not preserve the normalization property of statistical ensembles.

In 2006, EMI reorganized its adult music operations and put Angel Records as well as EMI's other classical and jazz labels under the Blue Note Label Group.

Note that instances where the U. S. government gave aid alone, with no military personnel involvement, are excluded, as are CIA-based operations.

Note: Base directed to revert to " minimum operations on caretaker status ;' 1 Oct 1946 ; base under administrative control of Colorado Springs Army Air Base, Colorado, 1 Nov 1946-1 luI 1947.

Note that the type is not only private ( to forbid the clients from accessing the type directly, and only through the operations ), but also limited ( to avoid the copy of the data structure, and thus preventing dangling references ).

Note that this premise uses the phrase " is not ", a form of " to be "; this and many other examples show that he did not intend to abandon " to be " as such.

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 by designating cardinal directions for 1 ,-1,, and, complex numbers such as are considered constructible.

Note, however, that the fifth article did not completely deny perseverance of the saints ; Arminius, himself, said that " I never taught that a true believer can … fall away from the faith … yet I will not conceal, that there are passages of Scripture which seem to me to wear this aspect ; and those answers to them which I have been permitted to see, are not of such as kind as to approve themselves on all points to my understanding.

Note electrode naming for diodes is always based on the direction of the forward current ( that of the arrow, in which the current flows " most easily "), even for types such as Zener diodes or solar cells where the current of interest is the reverse current.

( Note that " offshoring " is not synonymous with " outsourcing ", which means " to subcontract from an outside supplier or source ", such as when a business outsources its bookkeeping to an accounting firm.

Note that the associative property does not hold for expressions that include non-linear operators, such as the antilinear time reversal operator in physics.

Note: it is reported in the scientific literature that some " shock " features, such as small shatter cones, which are often reported as being associated only with impact events, have been found in terrestrial volcanic ejecta.

* Some waterfowl, such as gulls, penguins, pelicans, storks, and herons ( Note, waterfowl is not being used in the taxonomic sense-e. g.

Note that such engines may not produce their full rated power using 87 octane gasoline under all circumstances due to the delayed ignition timing.

Note: electrode naming for diodes is always based on the direction of the forward current ( that of the arrow, in which the current flows " most easily "), even for types such as Zener diodes or solar cells where the current of interest is the reverse current.

In 1822, Charles Babbage proposed the use of such a machine in a paper to the Royal Astronomical Society on 14 June entitled " Note on the application of machinery to the computation of astronomical and mathematical tables ".

Note that congruences alter some properties, such as location and orientation, but leave others unchanged, like distance and angle s. The latter sort of properties are called invariant ( mathematics ) | invariant s and studying them is the essence of geometry.

Note that the electric and magnetic fields in such a wave are in-phase with each other, reaching minima and maxima together

Alice now discards three of her own cards, and replaces them with three from the top of the deck ( Note: in a player-dealt casino game there is often a rule that the dealer must discard before picking up the deck, but this is a home game so we won't worry about such details ).

Note: the various acronyms in this section are often combined in various ways, such as " TNLNSL, TFTC!

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.

Note that the ICF and ZAAP are essentially identical to CP, but distinguished for software cost control: they are slightly restricted such they cannot be used to run arbitrary operating systems, and thus do not count in software licensing costs ( which are typically based on the number of CPs ).

( Note: Some older operating systems may handle such values incorrectly ( i. e., signed instead of unsigned ), which would make it impossible to access files larger than 2 GB in size.

Note that while such perfect price discrimination is still a theoretical construct, it is becoming increasingly real with advances of information technology and micromarketing.

Note that these treatments need to be prescribed and monitored carefully to avoid harmful side-effects such as neuroleptic malignant syndrome with the antipsychotic medications.

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 that some languages have more such ambiguity than others.

Note that reporting the beliefs of others in a non-fiction format is not necessarily an endorsement of the ultimate veracity of those beliefs, it is simply saying it is true that people believe them ( for such topics as mythology, religion ).