Note that while the terms demon and demonic are used in monotheistic faiths as antonyms to divine, they are in fact derived from the Greek word daimón ( δαίμων ), which itself translates as divinity.

Note that a common misconception is that LDAP data is case-insensitive, whereas in fact matching rules and ordering rules determine matching, comparisons, and relative value relationships.

#* Note: This fact provides a proof of the infinitude of primes distinct from Euclid's Theorem: if there were finitely many primes, with p being the largest, we reach an immediate contradiction since all primes dividing 2 < sup > p </ sup > − 1 must be larger than p .</ li >

Note the coats of arms both bear on their clothing — Malcolm wears the Lion of Scotland, which historically was not used until the time of his great-grandson William I of Scotland | William the Lion ; Margaret wears the supposed arms of Edward the Confessor, her grand-uncle, although the arms were in fact concocted in the later Middle Ages.

Note that due to the fact that one can always transform non-normalized weights to normalized weights all formula in this section can be adapted to non-normalized weights by replacing all by.

The Preliminary Note of Explanation did not in fact alter the value of the statement on collegiality in the text of Lumen Gentium: it " strengthened the adherence to the doctrine of the First Vatican Council on the primacy, but it did not subsequently strike out anything from the direct divine origin of the episcopal office and its function, and the responsibility of the College of Bishops for the Universal Church.

Note that X. 25 provides for virtual calls, so appears to be a circuit switched network, even though in fact the data itself is packet switched internally, similar to the way TCP provides connections even though the underlying data is packet switched.

Note that this application is not a contradiction to the fact that conformal mappings preserve angles, they do so only for points in the interior of their domain, and not at the boundary.

Note that because a nullary biproduct will be both terminal ( a nullary product ) and coterminal ( a nullary coproduct ), it will in fact be a zero object.

( Note: President Lincoln was popular, and many cities named streets after him, so not every " Lincoln Way " is in fact the Lincoln Highway.

* Leslie Ferris ( Bob's dad ) ( Note: It was established in the 1960s series that Bob's father was in fact deceased )

Note that the theoretical curves and the observed curves are not plotted at the same scale: the dotted curves, in fact, represent only one-eighth of the theoretical displacements.

Note that the fact that there is no way to trisect an angle in general with just a compass and a straightedge does not mean that it is impossible to trisect all angles: for example, it is relatively straightforward to trisect a right angle ( that is, to construct an angle of measure 30 degrees ).

( Note that the idea that all cells come from pre-existing cells had in fact already been proposed by Robert Remak ; it has been suggested that Virchow plagiarised Remak.

Note that although this approach often utilizes language features of compile-time genericity / templates, it is in fact independent of particular language-technical details.

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 that, for intoxication in public fines to be applied, the offending substance does not have to be identified ( or illegal, for that matter ), and the fine is applied for being in a state of influence that is a potential or actual public nuisance, not for the fact of consumption.

Note that Sp ( n ) is not a symplectic group in the sense of the previous section — it does not preserve a non-degenerate skew-symmetric ( H-bilinear ) form on H < sup > n </ sup > ( in fact, the only skew-symmetric form is the zero form ).

Note, though, that nothing prohibits it from varying longitudinally, which in fact it does.

Note the bulk of the complex is in fact ncRNA.

Note that this painting is horizontally reversed ; as shown it would mean that the American land forces were on the North side of the Saranac river, but were in fact on the South.

Note the fact that the Greek word for Spirit ( πνευμα ), can be translated as " air in motion " or wind ).

Note that the so-called North node may in fact lie South of the South node in the course of the nodal cycle.

For example, the index of H in G may be countable or uncountable, depending on whether H has a countable number of cosets in G. Note that the index of H is at most the order of G, which is realized for the trivial subgroup, or in fact any subgroup H of infinite cardinality less than that of G.

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 a locally finite Borel measure automatically satisfies μ ( C ) < ∞ for every compact set C.

Note that the set of grammars corresponding to recursive languages is not a member of this hierarchy.

) 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.

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 this definition cannot be expressed in the language of set theory itself.

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

( Note that the empty set is considered finite, with cardinality zero.

* Note: The original release of this set included Godzilla vs. Megalon, which was replaced with The Giant Gila Monster after Rhino attempted to license the film from a third party which had no claim to the movie.

Note: Ringette distances itself from hockey as it has its own set of rules and is closely related to a mix of lacrosse and basketball.

Note that the term byte also had this ambiguity ; at one time, byte meant a set of bits but not necessarily 8.

Note that if the preorder is R < sup >+=</ sup >, S / ~ is the set of R-cycle equivalence classes: x ∈ if and only if x = y or x is in an R-cycle with y.

Note that the group of all permutations of a set is the symmetric group ; the term permutation group is usually restricted to mean a subgroup of the symmetric group.

( Note that in SQL the heading is not always a set of column definitions as described above, because it is possible for a column to have no name and also for two or more columns to have the same name.

Note that a sample of random variables ( i. e. a set of measurable functions ) must not be confused with the realizations of these variables ( which are the values that these random variables take, formally called random variates ).

* 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 the concept of omnicausality in Abrahamic theology, which is the belief that God has set in motion all events at the dawn of time ; he is the determiner and the cause of all things.

A set T of real numbers ( red and green balls ), a subset S of T ( green balls ), and the infimum of S. Note that for finite set s the infimum and the minimum are equal.

The Note is introduced by the following words: " A preliminary note of explanation is being given to the Council Fathers from higher authority, regarding the Modi bearing on Chapter III of the Schema de Ecclesia ; the doctrine set forth in Chapter III ought to be explained and understood in accordance with the meaning and intent of this explanatory note.

Note that the definition is somewhat ambiguous because the user of a program can be another program and, if the latter is a portion of the set of program that is required to be interoperable, it might well be that it does need to have knowledge of the characteristics of other units.

Note that in the special case where A is the empty set the meet of A will be the greatest element of L. Likewise, the join of the empty set yields the least element.