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Note and same
Note that this is not the same as a monophyly in which all descendants of a common ancestor are included.
Note that the 64x16 TRS-80 mode screen uses only a small part of the monitor screen, because the letters are the same size as the 80 × 25 CP / M screen, this was one of the things that was soon after fixed with the redesign to a commercial product
Note that the constituency boundaries do not align exactly with those of the district of the same name.
Note however, that the allemandes, that occur in these suites do not correspond to a French dance from the same period.
Note that although the carbonate salts of most metals are insoluble in water, the same is not true of the bicarbonate salts.
Note the position of the hydroxyl group ( red or green ) on the anomeric carbon relative to the CH < sub > 2 </ sub > OH group bound to carbon 5: they are either on the opposite sides ( α ), or the same side ( β ).
Note, however, that currying, while similar, is not the same operation as partial function application.
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 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: In Hebrew, P and F are allophones of the same phoneme ( historically, pol is rendered fol-when following a vowel sound ).
* English fruit, and Hebrew perot ( פ ֵּ רו ֹ ת ) Note: In Hebrew, P and F are allophones of the same phoneme ( historically, perot is rendered ferot-when following a vowel sound ).
Note: In Hebrew, B and V are allophones of the same phoneme ( historically, ba is rendered va-when following a vowel sound ).
Note that not all worlds have the same objects: some objects exist in some worlds and not in others.
Note that a grid network is not the same as a grid computer ( or computational grid ) ( even though the nodes in a grid network are usually computers, and grid computing obviously requires some kind of computer network to interconnect the computers ).
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 that ' prince ' derives from Latin princeps, which carried the same meaning.
Note that if n < sub > 1 </ sub > and n < sub > 2 </ sub > are the same, the antisymmetric expression gives zero, which cannot be a state vector as it cannot be normalized.
Note that the probability of finding particles in the same state is relatively larger than in the distinguishable case.
Note that the two-sample test checks whether the two data samples come from the same distribution.
Note that here, the same value of γ remains unchanged.
Note that the internal chronology is not exactly the same as the order in which the books were written.
Note: is same as
Note that in this model, the two fission fragments are the same size.

Note and set
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.
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.

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