Examples of algebraic integers are,, and ( Note, therefore, that the algebraic integers constitute a proper superset of the integers, as the latter are the roots of monic polynomials for all

Note that congruences alter some properties, such as location and orientation, but leave others unchanged, like distance and angle s. The latter sort of properties are called invariant ( mathematics ) | invariant s and studying them is the essence of geometry.

Note the latter is now called Pope Stephen VI.

Note the latter is now called Pope Stephen VI.

Note that in a few cases the accidental might change the note by more than a semitone: for example, if a G sharp is followed in the same measure by a G flat, the flat sign on the latter note means it will be two semitones lower than if no accidental were present.

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.

Jordan was the first artist to be signed by Bruce Lundvall when the latter became president of Blue Note Records in 1985 and, consequently, Magic Touch was the first release ( not reissue ) of the rejuvenated label.

Note, for example, that the time zone GMT + 14 will be at the same time of day as GMT − 10, though the former is one day ahead of the latter.

Note that differs from dental in that the former is a sibilant and the latter is not.

Note that the verb " see " can often be used instead of " call ": " Bob saw Carol's bet ", although the latter can also be used with the bettor as the object: " I'll see you " means ' I will call your bet '.

( Note: " plebeian secession " was a tactic used by the Roman plebs of vacating a city entirely and leaving its ruling elite to fend for itself, thus an even more radical action than a " general strike ", yet unlike the latter term, it does not pertain to withholding labor within a wage-system.

The second Blue Note session in 1951 was a trio with Russell and Roach, and includes " Parisian Thoroughfare " and " Un Poco Loco ", the latter of which was selected by literary critic Harold Bloom for inclusion on his short list of the greatest works of twentieth-century American art.

Note that part of that profit results from turning the company around, and part results from the general increase in share prices in a buoyant stockmarket, the latter often being the greater component.

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 the latter term can also mean the original blazar and not the entire class.

Note that the latter is characterized by undesirable scheduling starvation.

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.

New York is home to several major jazz clubs, including Birdland, Sweet Rhythm ( formerly Sweet Basil ), Village Vanguard and The Blue Note, the latter being one of the premier spots for jazz lovers.

: Note: In this article, to distinguish between the Han state of the Warring States Period and the Han Dynasty, the former will be referred to as " Hán " while " Han " will be reserved for the latter.

Note that webbing construction is either utterly flat or flat-tubular ; the latter tends to handle better but knots are more likely to jam.

( Note that the latter statement is not true for equivalences between preadditive categories.

Note that this latter form is the functional equation for the Riemann zeta function, as originally given by Riemann.

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 this is only used to read and send e-mail, not to create or manage your mail. i2p account ; the latter must be done at hq. postman. i2p.

Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;

Note the use of zero at the beginning an end of the two cycles.

Note the gravitational lens ing effect, which produces two enlarged but highly distorted views of the Cloud.

Note that after calling, we are left with a function that takes a single argument and returns another function, not a function that takes two arguments.

Note that the result of partial function application in this case is a function that takes two arguments.

Note that positions on a surface in navigation use latitude and longitude in a similar two dimensional system.

Note, however, that it is acceptable to define two relative terms in respect of each other.

Note however that working with the current two form itself and the exterior derivative is usually easier than working with the vector field and divergence, because unlike the divergence, the exterior derivative commutes with a change of ( curvilinear ) coordinate system.

Note the two Danish flags.

Note that-is a long syllable, u a short syllable, and U either one long or two shorts:

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: In the following discussion, only one or two common pronunciations of American and British English varieties are used in this article for each word cited.

( Note: On most location-based television shows, there will be two Assistant Location Managers that alternate episodes, allowing one to prep an upcoming episode while the other is on-set with the current one.

Note that reflection by a window is from the front side as well as the back side, and that some of the light bounces back and forth a number of times between the two sides.

Note that with this definition, two elements a and b may very well have several greatest common divisors, or none at all.

For future editions of the book, in 1917 Conrad wrote an " Author's Note " where he discusses each of the three stories, and makes light commentary on the character Marlow-the narrator of the tales within the first two stories.

Note that the dipole – dipole interaction between two atoms is usually zero, because atoms rarely carry a permanent dipole.

Note that the two-sample test checks whether the two data samples come from the same distribution.

Note that there is no contradiction among these two results ; both computations are correct.

Note: In cases where the optical design of a microscope produces an appreciable lateral separation of the two beams we have the case of classical interference microscopy, which does not result in relief images, but can nevertheless be used for the quantitative determination of mass-thicknesses of microscopic objects.

( Note: there are two closely related equations which are called Faraday's law.

Note that Karachentsev divides this group into two subgroups centered around IC 342 and Maffei 1.

Note that in this model, the two fission fragments are the same size.

Note two hydroxyl (- OH ) groups attached to the D ring ( rightmost ring ).

Note the intersection of the two circles — the distinction between short a, i and u is made by both speakers, but Arabic lacks the mid articulation of short vowels, while Hebrew lacks the distinction of vowel length.