( Note that there are N independent eigenvectors ; a unitary matrix is never defective.

Note that we have to restrict the sum to ordered values of m < sub > 1 </ sub >, ..., m < sub > N </ sub > to ensure that we do not count each multi-particle state more than once.

Note how sib is displaced by the recombination event from the N extended P < sub > L </ sub > promoter open reading frame.

: Note: The label N will be used to denote the current node ( colored red ).

Note that s < sub > 0 </ sub > is now the sum of the weights and not the number of samples N.

Note that when N = R, the map dφ < sub > x </ sub >: T < sub > x </ sub > M → R coincides with the usual notion of the differential of the function φ.

Note that if N is itself prime, i. e., there is no such prime F ≠ N, then some event will prevent the execution of step 3 that receives the value F from the future.

Note, however, that the DCT-I is not defined for N less than 2.

Note that although s and S are infinite, this works for finite matrices by only considering Stirling numbers up to some number N.

Note that R might not be a subgroup, let alone a normal subgroup of F < sub > S </ sub >, so we cannot take a quotient by R. The solution is to take the normal closure N of R in F < sub > S </ sub >.

Note that N < sub > 2 </ sub >' s East output VC will specify that it is reserved by the North input VC.

* Application Note Application Note ( in engineering ) most often seen as A. N.

Note that this cube would contain no such subgraph if, for example, the bottom edge in the present subgraph were replaced by a blue edge – thus proving by counterexample that N * > 3.

Note, however, that PFA can be combined with mixed-radix Cooley – Tukey, with the former factorizing N into relatively prime components and the latter handling repeated factors.

Note that this is a Belgian law and is different from the International Criminal Court, which is a treaty body to try war crimes, and also different from the International Court of Justice, which is a U. N. body to settle disputes between countries.

Note that this implies that M and N must have the same dimension at p.

The structure of the ring can be analysed by considering all ways of embedding both K and L in some field extension of N. Note that the construction here assumes the common subfield N ; but does not assume a priori that K and L are subfields of some field M ( thus getting round the caveats about constructing a compositum field ).

Note that X is also a Kaprekar number for base b < sup > n </ sup >, for this specific choice of n. More narrowly, we can define the set K ( N ) for a given integer N as the set of integers X for which

Note the very strong and crucial hypothesis that f maps the fundamental class of M to the fundamental class of N. Naturality does not hold for an arbitrary continuous map f, since in general f < sup >∗</ sup > is not an injection on cohomology.

Note that gcd ( x, N )= 1 with overwhelming probability, which ensures that there are 4 square roots of x < sup > 2 </ sup > mod N.

Note that t < sup > 0 </ sup > = 1, ( 1 − t )< sup > 0 </ sup > = 1, and that the binomial coefficient,, also expressed as or is:

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: bandwidth is proportional to where = bit time ) Therefore, the bandwidth of the data signal is and the bandwidth of the spread spectrum signal is.

Note that the Bernoulli numbers are defined as B < sub > n </ sub > = B < sub > n </ sub >( 0 ), and that these vanish for odd n greater than 1.

Note that factors p < sup > 0 </ sup > =

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 ω < sup > 2 </ sup > = 0 ( i. e., ω is nilpotent of order 2 ), and moreover, for all.

Note that the force and acceleration approach zero generally around θ =

* 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 we have g ( 1 ) = 1.

Note, however, that a language wishing to index arrays from 1 could simply adopt the convention that every " array address " is represented by a ′ = a – s ; that is, rather than using the address of the first array element, such a language would use the address of an imaginary element located immediately before the first actual element.

< tr bgcolor =# eeeeee align = center >< td > Mode ( azimuthal wave number )</ td >< td > Note </ td >< td > Description </ td >< td > Radial modes </ td >< td > Description </ td ></ tr >

Note that unlike in the picture, the triangular setup in the cue game of eight-ball corresponds to an arithmetic progression 1 + 2 + 3 + 4 + 5 = 15.

: Note: If a = b, then a / b = 1 and b / a = 1

( Note: pg = picogram, or one trillionth of a gram, or 10 < sup >− 12 </ sup > g ).

Note that this final price is 110 % of the initial price ( 100 % + 10 % = 110 %).

Note that 7 and 10 are coprime, and φ ( 10 ) = 4.

By the 3rd century ( during the Three Kingdoms Period ), the Chinese had termed the device as the ' jì lĭ gŭ chē ' ( 記里鼓車 ), or ' li-recording drum carriage ' ( Note: the modern measurement of li = 500 m / 1640 ft ).

Note that ( x )< sub > 0 </ sub > = 1 because it is an empty product.

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 sets are open in the subspace topology even though they are not open as subsets of R .)

Although siblinghood is symmetric ( if A is a sibling of B, then B is a sibling of A ) and transitive on any 3 distinct people ( if A is a sibling of B and C is a sibling of B, then A is a sibling of C, provided A is not C ( Note that " is a sibling of " is NOT a transitive relation, since A R B, and B R A implies A R A by transitivity )), it is not reflexive ( A cannot be a sibling of A ).

Note: John R. Smith, the son of a Methodist minister named John L. Smith, wrote letters years later recalling that Northup and Tabbs Gross ( another black man ) had assisted his father and fugitive slaves with the Underground Railroad in Vermont.

* Lind, H. & R. Granqvist ( 2010 ) A Note on the Concept of Excess Burden.

Note that the choice or " R " or " W " as the symbol for the dominant allele does not pre-judge whether the allele causing the " round " or " wrinkled " phenotype when homozygous is the dominant one.

* Bown, H. G., O ' Brien, C. D., Sawchuck, W., and Storey J. R. " A General Description of Telidon: A Canadian Proposal for Videotex Systems ", CRC Technical Note No. 697-E, Department of Communications, December 1978

* John R. Lott, Jr and John Whitley, University of Adelaide, A Note on the Use of County-Level UCR Data Journal of Quantitative Criminology, October 2001.

( Note that CLR is pseudo-op for EOR R, R ; and SER is short for LDI R ,$ FF.

Note: After George Jerome took over the Clerk-Treasurer position, Larry Ballah ( R ) was appointed to finish out the current term in George Jerome's former council seat.

Note: despite the statement in the show that teleportation is a major drain of his energy, when Ultraman teleported from Planet R to Earth his warning light was still blue, and this was also after having destroyed Baltans on Planet R.

( Note that it takes values into R, rather than C ; this is for physical reasons, and doesn't really matter for this proof.

Note that the domains of different plots can be subsets of R < sup > n </ sup > for different values of n.

Note that d < sup > 2 </ sup > R / dt < sup > 2 </ sup > and F / m are both equal to the gravitational acceleration g ( equivalent to the inertial acceleration, so same mathematical form, but also defined as gravitational force per unit mass ).