Note that the scripts mentioned above are not considered proper alphabets, as they all lack characters representing vowels.

Examples of algebraic integers are,, and ( Note, therefore, that the algebraic integers constitute a proper superset of the integers, as the latter are the roots of monic polynomials for all

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 that this is not the same as a monophyly in which all descendants of a common ancestor are included.

Note that this expression is not well-defined for all time series or processes, because the variance may be zero ( for a constant process ) or infinite.

Note that, although rarely occurring, if a runner tags and advances from second base ( or, theoretically, from first base ) all the way to home and scores ( without an intervening error ) the batter is credited with a sacrifice fly.

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

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

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: Marker wrote and spoke all the commentary for this short film about fruit juice in Alexandrine verse ( Film Comment ).

** Note: Marker helped produce and contributed to the screenplay for this, perhaps the greatest of all documentary films ( Film Comment ).

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

The subgroup of generated by all commutators is called the derived group or the commutator subgroup of G. Note that one must consider the subgroup generated by the set of commutators because in general the set of commutators is not closed under the group operation.

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, not all CUC members like this playful reading and so when these people write the abbreviation they leave out the star (*), just writing UU instead.

Note the changes in subpixel intensity that are used to increase effective resolution when ClearType is enabled — without ClearType, all sub-pixels of a given pixel have the same intensity.

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.

( Note that Louisiana ran a single program targeting all three groups.

Note: The all or none principle is met when all patients died before the Rx became available, but some now survive on it ; or when some patients died before the Rx became available, but none now die on it.

By Rule 1. 04, Note ( a ), all parks built after 1958 have been required to have foul lines at least long and a center-field fence at least from home plate.

* Note: 12ZTAX22 also came as a limited edition with a box designed to contain all the Rage Hard UK issues ( box featured the Red fist )

Note that with this definition, two elements a and b may very well have several greatest common divisors, or none at all.

Note that not all worlds have the same objects: some objects exist in some worlds and not in others.

* Historia Augusta, The Life of Antoninus Pius, English version of Historia Augusta Note that the Historia Augusta includes pseudohistorical elements.

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 the end tag's name is preceded by a slash character, "/", and that in empty elements the end tag is neither required nor allowed.

Note that the operators operate on elements from the domain and range, respectively, of the " one-to-one " and " onto " function ƒ.

Note that the bilinearity and alternating properties imply anticommutativity, i. e., for all elements x, y in, while anticommutativity only implies the alternating property if the field's characteristic is not 2.

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 in this vector dotted with Pauli vector operation the Pauli matrices are treated in a scalar like fashion, commuting with the vector basis elements.

Note that many of the common polyatomic anions are conjugate bases of acids derived from the oxides of non-metallic elements.

Note that elements up to E118 have now been experimentally produced and that there are chemical studies on an increasing number of them.

Note: The principal applications of off-axis optical systems are to avoid obstruction of the primary aperture by secondary optical elements, instrument packages, or sensors, and to provide ready access to instrument packages or sensors at the focus.

Note 1: The PCS switching center represents a collection of one or more network elements.

Note that only the 253 have any claim to stability, but that only 90 nuclides from the first 40 elements are theoretically stable to any process but proton decay.

Note that this is stated in terms of maps – product and inverse must be maps in the category – and without any reference to underlying " elements " of group – categories in general do not have elements to their objects.

Note: Work function can change for crystalline elements based upon the orientation.

( Note that categorical syllogisms have elements traditionally called middles, predicates, and subjects.

Note for completeness that condition ( 1 ) fails: any map t: B → A must map every two-cycle to the identity because the map has to be a group homomorphism, while the order of a two-cycle is 2 which can not be divided by the order of the elements in A other than the identity element, which is 3 as A is the alternating subgroup of, or namely the cyclic group of order 3.

Note that an iterator performs traversal and also gives access to data elements in a container, but does not perform iteration ( i. e., not without some significant liberty taken with that concept or with trivial use of the terminology ).

Note that elements of the Cantor space can be identified with sets of integers and elements of the Baire space with functions from integers to integers.

Note that while both the elements of the Cantor space ( regarded as sets of integers ) and subsets of the Cantor space are classified in arithmetic hierarchies but these are not the same hierarchy.

Note that not every relation which is not reflexive is irreflexive ; it is possible to define relations where some elements are related to themselves but others are not related to themselves ( i. e., neither all nor none ).

Note that although bulk materials differentiate outward or inward according to their density, the elements that are chemically bound in them fractionate according to their chemical affinities, " carried along " by more abundant materials that they're associated with.