Note that the parameter t ( called the eccentric anomaly in astronomy ) is not the angle of with the X-axis.

Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.

Sometimes his name is turned into the Frankish name Rodolf ( us ) or Radulf ( us ) or the French Raoul, that are derived from it .< ref group =" Note "> Rou is the result of a series of French regular phonetic changes from Hrólfr > Rolf > Rouf to Rou ( see Lepelley 15-16 ) and Norman names in-ouf and-ou ( t ): I ( n ) gouf and Ygout < Old Norse Ingulfr / Ingólfr ( Old Danish Ingulf ).

A subset T is totally ordered if for any s, t in T we have s ≤ t or t ≤ s. Such a set T has an upper bound u in P if t ≤ u for all t in T. Note that u is an element of P but need not be an element of T. An element m of P is called a maximal element ( or non-dominated ) if there is no element x in P for which m < x.

( Note that for LZ77 compression such as gzip, this is much easier, as the problem reduces to " Is t in s ?".

Note for completeness that condition ( 1 ) fails: any map t: B → A must map every two-cycle to the identity because the map has to be a group homomorphism, while the order of a two-cycle is 2 which can not be divided by the order of the elements in A other than the identity element, which is 3 as A is the alternating subgroup of, or namely the cyclic group of order 3.

Note, that the right hand side only contains Ramsey numbers for c − 1 colours and 2 colours, and therefore exists and is a finite number t, by the inductive hypothesis.

Note the payoff of the latter portfolio is also S ( T )-K at time T, since our share bought for S ( t ) will be worth S ( T ) and the borrowed bonds will be worth K.

Note that when there are only two groups for the one-way ANOVA F-test, F = t < sup > 2 </ sup >

Note also that a factor consisting of a sum where both types of variables are involved ( e. g. a factor of the form ) cannot be factorized in this fashion ( except in some cases where occurring directly in an exponent ); this is why, for example, the Cauchy distribution and Student's t distribution are not exponential families.

Note: A ( t ) is the amount function and a ( t ) is the accumulation function.

:: Note: Mathew B. Brady's name contains a single " t ".

Note: t

Note that such s ( t ) is uniformly continuous, this together with the decay assumption on s, show that the series defining s < sub > P </ sub > converges uniformly to a continuous function.

From the up-tempo Latin groove of “ Evanly ” with its vocal out chorus ; the mid tempo swing of “ No Way LA ” & “ Ten Minutes To Twelve ”; the Lunceford-like band vocals on “ Stompin ’ @ The Savoy ” & “ It Don ’ t Mean a Thing ( If It Ain ’ t Got that Swing )”; to Hamilton ’ s vocalizing on “ Every Time I Smile ”; the pastoral melodic beauty of “ You ’ re Note Alone ”; the up-tempo funk of “ Black Eyed Peas ”; and the bossa funkiness of “ Foot Prints in the Sand ” with its starkly beautiful vocal out chorus-every track is like turning a page in a book that ’ s holding you on the edge of your seat, your rapt attention dying to know what ’ s next to be revealed.

Note that chemists often write H < sup >+</ sup >( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >.

Note that the acid can be the charged species and the conjugate base can be neutral in which case the generalized reaction scheme could be written as HA < sup >+</ sup > H < sup >+</ sup > + A.

Note that the beryllium scale is inverted, so increases on this scale indicate lower < sup > 10 </ sup > Be levels

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

Note that at ocean pH most of the CO < sub > 2 </ sub > produced in this reaction is immediately converted back into.

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 that in other fields, a lower division between high and ultra-high vacuum is common, often 10 < sup >− 7 </ sup > Pa.

These polar unit vectors can be expressed in terms of Cartesian unit vectors in the x and y directions, denoted i and j respectively :< ref > Note: unlike the Cartesian unit vectors i and j, which are constant, in polar coordinates the direction of the unit vectors u < sub > r </ sub > and u < sub > θ </ sub > depend on θ, and so in general have non-zero time derivatives .</ ref >

Note that when this routine is called by < tt > jsr </ tt >, AC3 holds the return address.

< cite id =" demographics "> Note I </ cite >-There were around 300, 000 people () working as electrical engineers in the US ; in Australia, there were around 17, 000 () and in Canada, there were around 37, 000 (), constituting about 0. 2 % of the labour force in each of the three countries.

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 by reversing the equation, we can swap < math > < </ math > and, for example:

Note: Any nonlinear electronic block driven by two signals with frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub > would generate intermodulation ( mixing ) products.

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

Like all subatomic particles, hadrons are assigned quantum numbers corresponding to the representations of the Poincaré group: J < sup > PC </ sup >( m ), where J is the spin quantum number, P the intrinsic parity ( or P-parity ), and C, the charge conjugation ( or C-parity ), and the particle's mass, m. Note that the mass of a hadron has very little to do with the mass of its valence quarks ; rather, due to mass – energy equivalence, most of the mass comes from the large amount of energy associated with the strong interaction.

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: ∇< sup > 2 </ sup > F represents, in this case, the vector formed by the individual Laplacian of each component of the vector in question )

#* 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 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 top is row 0.

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 also that even in validating SGML or XML 1. 0 or XML 1. 1 parsers, the external entities referenced by an FPI and / or URI in declared notations are not retrieved automatically by the parsers themselves.

Note that we ignored the quotient in each step except to notice when the remainder reached 0, signalling that we had arrived at the answer.

Note that due to the reduced number of colors in the image, there are obvious display issues. GIF is palette-based: the colors used in an image ( a frame ) in the file have their RGB values defined in a palette table that can hold up to 256 entries, and the data for the image refer to the colors by their indexes ( 0 – 255 ) in the palette table.

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

( Note that for a discrete distribution the sample skewness may be undefined ( 0 / 0 ), so its expected value will be undefined.

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

* 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: As in all track-and-field events, results cannot count towards records if they are Wind assisted (> 2. 0 m / s ).

Note that there is no year zero ( 0 ) in either the proleptic Gregorian calendar or the Julian calendar.

Note that there is no year zero ( 0 ) in either the proleptic Gregorian calendar or Julian calendar.

Note that the threshold voltage for this device lies around 0. 45 V. Nanowire MOSFETs lie towards the end of the ITRS roadmap for scaling devices below 10 nm gate lengths.

Note that the threshold voltage for this device lies around 0. 45 V.

Note that this stuffed bit is added even if the following data bit is 0, which could not be mistaken for a sync sequence, so that the receiver can unambiguously distinguish stuffed bits from normal bits.

Note that typically, the reference point for jitter is defined such that the mean jitter is 0.

Note that the REN of modern telephone equipment may be significantly lower than 1: as a rough guide, externally-powered digital-ring phones may have a REN as low as 0. 1, while modern analog-ring phones ( where the ringer is powered from the phone line ) typically have a REN around 0. 8.