Note that the requirement that the maps be continuous is essential ; if X is infinite-dimensional, there exist linear maps which are not continuous, and therefore not bounded.

( Note on numbering: Pope Benedict X is now considered an antipope.

Note that only two sequences of moves by O ( both starting with center, top-right, left-mid ) lead to a draw, with the remaining sequences leading to wins from X.

Note: In the Defense Data Network ( DDN ), a packet-switching node is usually configured to support up to thirty-two X. 25 56 kbit / s host connections, as many as six 56 kbit / s interswitch trunk ( IST ) lines to other packet-switching nodes, and at least one Terminal Access Controller ( TAC ).

( Note, however, that Norwegian både, for example, though cognate with English both, can be used with more than two things, as in X sparer både tid, penger, og arbeid, literally " X saves both time, money, and labour ".

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 also that the X < sub > i </ sub > are in general not independent ; they can be seen as the result of applying the matrix A to a collection of independent Gaussian variables z.

Note that the corresponding Mac OS X release may have been released on a different date ; refer to the Mac OS X pages for those dates.

( Note that the contact X on the second rung serves no useful purpose, as X is already defined in the ' AND ' function of S from the 1st rung.

Note: As of Mac OS X version 10. 4. 9, the system will sometimes incorrectly display the AIFC icon for files with the. aif extension, whether or not the actual file format is AIFF or AIFF-C.

Note that latest versions of Mac OS X, v10. 5 " Leopard " and newer, eliminated Classic support, even for PowerPC-based Macs.

( Note that X < sup > T </ sup > is defined here and not X itself, and what we are calling X < sup > T </ sup > is often alternatively denoted as X itself.

In radar applications, it ranges from 12-18 GHz according to the formal definition of radar frequency band nomenclature in IEEE Standard 521-2002 .< ref > Note that in the band 11. 2 – 12 GHz the working definitions of K < sub > u </ sub > band and X band overlap ; satellite communications engineers would generally regard frequencies above 11. 2 GHz as being part of the K < sub > u </ sub > band .</ ref >

Note that Si and Ge are indirect with minima at X and L, while GaAs and InAs are direct band gap materials.

Note that to include a constant in the model above, one can choose to include the variable X < sub > K </ sub > all of whose observed values are unity: X < sub > iK </ sub > = 1 for all i.

Note that the number of monochromatic r-subgraphs is the sum of X ( S ) over all possible subsets.

Note that P will itself be a relational predicate involving both X and Y.

** Vol X: The Inspirations of Historians ; A Note on Chronology ( Oxford University Press 1954 )

Note that the symbol should always look like in order to avoid confusion with a Latin Y denoting the hypercharge.

Note that X and Y are compactly generated Hausdorff spaces, so Hom ( X, Y ) is often taken with the compactly generated variant of the compact-open topology ; the above statements remain true.

* Suite 4 Y 20 ( Blue Note, 1992 )

Note the asymmetry in this latter definition ; which talks about a correspondence from X to Y rather than a correspondence between X and Y.

Note that the regularity assumption on Y is important here.

Note that the shorthand form Na < sub > 4-x </ sub > H < sub > x </ sub > Y can be used to represent any species of EDTA, with x designating the number of acidic protons bonded to the EDTA molecule.

Note that O ( X ) and O ( Y ) are subframes of P ( X ) and P ( Y ).

Note, X will not be punished or totally denied of the benefit ; both X and Y will receive a half share in the contract and the money.

Note that Y chromosome and Y-DNA are used interchangeably in this article.

* < cite id =" fn_1 "> Note 1: </ cite >, pg 118, Citing Blanche Wiesen Cook, The Declassified Eisenhower ( Garden City, N. Y., 1981 ), page 224 ; Neale J. Pearson, " Guatemala: The Peasant Union Movement, 1944-1954 ," in Latin American Peasant. Wovements ed.

Note that the distribution of X + Y concentrates positive probability at 0: Pr ( X + Y = 0 )

Note that applying the additional transform Y ( z )/ S ( z ) only requires the last two samples of the sequence.

( Note that in the metalanguage, " everything that is such that X is such that Y " is interpreted as a universal generalization of the material conditional " if anything is such that X then it is such that Y ".

Note also that while an anti de Sitter space would describe general relativity with a negative cosmological constant in five dimensions ( four for spacetime and one for the effect of the cosmological constant ), the idea is actually more general.

* In his late-1980s anti -“ sellout ” anthem, “ This Note ’ s for You ” ( the title of which parodies Budweiser ’ s “ This Bud ’ s for You ” ad campaign ), Neil Young says he “ ain ’ t singing for Spuds ” in the title track.

Note: symmetry is not the exact opposite of antisymmetry ( aRb and bRa implies b = a ).

Note that contrary to the standard misconception, the Eddington limit does not require spherical symmetry.

Note that if is a Dirac fermion, then the chiral symmetry can be written as where is some matrix acting on.

Note that all the anomaly cancellation mechanisms result in a spontaneous symmetry breaking of the symmetry whose anomaly is being cancelled.

Note that when a transformation decreases symmetry, a transformation of the same kind ( the inverse ) obviously for some patterns increases the symmetry.

Note that this parametrization has a symmetry, where inverting the sign of a reverses x and y.

Note that " 1-fold " symmetry is no symmetry, and " 2-fold " is the simplest symmetry, so it does not mean " more than basic ".

Note that the Ising model exhibits the following discrete symmetry: If every spin in the model is flipped, such that, where is the value of the spin, the Hamiltonian ( and consequently the free energy ) remains unchanged.

Note that, for symmetry, the starting time () in this expansion is halfway through the first pulse.

Note that this problem has symmetry, and only the left or right portions of it needed to have been done.

Note that we have to redefine a new U ( 1 ) symmetry of weak hypercharge, different from QED, in order to achieve the unification with the weak force.

Note that both functions have the symmetry of the modular group.

Note that, due to its symmetry.

Note that by symmetry, all open games are determined as well.

Note that symmetry is not the exact opposite of antisymmetry.