Note that it is often rational to improve a system in an order that is " non-optimal " in this sense, given that some improvements are more difficult or consuming of development time than others.

( Note that the order of P and Q matters for the circle.

Note: the fasces depicted have no axes, possibly because in the Roman Republic, the blade was always removed from the bundle whenever the fasces were carried inside the city, in order to symbolize the rights of citizens against arbitrary state power ( see above ).

Note that the hex numbers in the following tables are in little-endian byte order, as the format specification prescribes.

Note that chair does not change form between " the chair is here " ( subject ) and " I saw the chair " ( direct object ), a distinction made by word order and context.

: is a spherical harmonic function of degree ℓ and order m. Note that the generalized Laguerre polynomials are defined differently by different authors.

Note also that the unraveling of the chunks can be done in any place in the literate program text file, not necessarily in the order they are sequenced in the enclosing chunk, but as is demanded by the logic reflected in the explanatory text that envelops the whole program.

Note that although Be < sub > 2 </ sub > has a bond order of 0 according to MO, there is experimental evidence of a highly unstable Be < sub > 2 </ sub > compound having a bond length of 245 pm and bond energy of 10kJ / mol.

Note that the internal chronology is not exactly the same as the order in which the books were written.

Note that zero, which is not needed in the other systems, is of crucial importance here, in order to be able to " skip " a power.

Note the reverse numbering order.

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

Note that these numbers are one more than the formal ordinal numbers according to the isomorphic order, because these are equal to the number of earlier objects ( which corresponds to counting from zero ).

Note: if as in the simplified definition, then is automatically 1, and the order of modulo is automatically.

Note: In the table of allocation, the first two characters of each call sign ( whether two letters or one number and one letter, in that order ) identify the nationality of the station.

Note that the bytes of the second-stage loader are read from paper tape in reverse order.

The other maxima occur at angles which are represented by non-zero integers m. Note that m can be positive or negative, resulting in diffracted orders on both sides of the zero order beam.

Note that, contrary to what the name queue suggests, messages don't have to be delivered in the order sent.

Note that the arguments of the binomial coefficient are decremented due to order: the last " failure " must occur last, and so the other events have one fewer positions available when counting possible orderings.

Note that this concept of boundedness has nothing to do with finite size, and that a subset S of a bounded poset P with as order the restriction of the order on P is not necessarily a bounded poset.

Note that the order of the years makes no difference-the average percentage returns of + 60 % and − 10 % is the same result as that for − 10 % and + 60 %.

Note that in order to act near optimally, the agent must reason about the long term consequences of its actions: In order to maximize my future income I better go to school now, although the immediate monetary reward associated with this might be negative.

The account of the " Yurovsky Note " indicated that two of the bodies were removed from the main grave and cremated at an undisclosed area in order to further disguise the burials of the Tsar and his retinue, if the remains were discovered by the Whites, since the body count would not be correct.

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

Note that as an income-based measure of poverty, this omits the effect of some other factors that may affect economic wellbeing, such as the availability of free health care and education.

Note the factors of two before ψ and χ corresponding respectively to the facts that any polarization ellipse is indistinguishable from one rotated by 180 °, or one with the semi-axis lengths swapped accompanied by a 90 ° rotation.

Note, however, that they lost most of their genetic diversity thousands of years ago ( see the beginning of this article ), and yet seem to have only been in decline in the last century or so, suggesting factors other than genetics are mainly responsible.

Note that what affects the value of for different values of is only the factors and, which both appear in the numerator, and hence the posterior probability is proportional to both.

Note that unlike the other two formulae ( the Euler product and the divisor sum ) this one does not require knowing the factors of n.

Note that ratios can be reduced ( as fractions are ) by dividing each quantity by the common factors of all the quantities.

* Scream 3 ( cameo ) ( Note: While their appearance in Scream 3 suggests that the Scream series and the View Askewniverse are on the same plane of existence, other factors may contradict this ; in the first Scream film, a VHS tape of Clerks is shown in the background ; also, in Jay and Silent Bob Strike Back, Jay and Silent Bob see the filming of the then fictional Scream 4.

( Note that the Cauchy distribution and this spectrum differ by scale factors.

( Note that other factors can restrict the places to which a boat can reach: for instance, boats with a high cabin top, or with insufficient tumblehome may not be able to fit into Standedge Tunnel at the summit of the Huddersfield Narrow Canal ).

Note that all these generalizations are multiplicative only if the factors are reversed:

Note, however, that because the quaternions are not commutative, the order of the factors in the multiplication formula becomes important — if the last factor in the multiplication formula were rather than

Note: Early studies indicated the opposite effect, but these were later found to be inaccurate due to additional complicating factors.

Note that this tells us nothing about the factors of 221 ( which are 13 and 17 ).

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 definition is more stringent than simply requiring the integer to have exactly three prime factors ; e. g. 60 = 2 < sup > 2 </ sup > × 3 × 5 has exactly 3 prime factors, but is not sphenic.

Note that for any orthogonal matrix if we set and, the criteria for being factors and factor loadings still hold.

Note that the digits of the factors 21 and 60 can be found, in some scrambled order, in 1260.

( Note 33 is the 8th composite number to descend into the prime number 3, the others outside of this sequence being 30, 26, 16, 12 ) Since 33 is a semiprime with both its prime factors being Gaussian primes, 33 is a Blum integer.

Note that since is of degree 4, this conclusion could not have been established by only checking that has no rational roots ( which eliminates possible factors of degree 1 ), since a decomposition into two quadratic factors could also be possible.

Note that over the complex numbers factors as and is degenerate because reducible, while defines a non-degenerate curve, an ellipse / hyperbola ( these are not distinct over the complex numbers, because there is no sense of positive or negative ).

Note that this location adjustment applies only to the WP factor and not the OWP and OOWP factors.