Help


[permalink] [id link]
+
Page "Formal power series" ¶ 191
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Since and g
Since patents and regulation ( e. g., U. S. Food and Drug Administration regulation in the U. S .) are very important issues for biotech enterprises, bioengineers are often required to have knowledge related to these issues.
Since the movie omits the religious and mythical elements of Dick's original novel ( e. g. empathy boxes and Wilbur Mercer ), it falls more strictly within the cyberpunk genre than the novel does.
In the first step, the final nonzero remainder r < sub > N − 1 </ sub > is shown to divide both a and b. Since it is a common divisor, it must be less than or equal to the greatest common divisor g. In the second step, it is shown that any common divisor of a and b, including g, must divide r < sub > N − 1 </ sub >; therefore, g must be less than or equal to r < sub > N − 1 </ sub >.
Since r < sub > N − 1 </ sub > is a common divisor of a and b, r < sub > N − 1 </ sub >g.
Since the first part of the argument showed the reverse ( r < sub > N − 1 </ sub >g ), it follows that g = r < sub > N − 1 </ sub >.
Since English, German and Dutch have many of the same etymological origins, there actually are a great number of words in both languages that are very similar and do have the same meaning ( e. g. word / Wort / woord, book / Buch / boek, house / Haus / huis, water / Wasser / water ...).
Since then, gubernatorial elections have been offset by two years from U. S. Presidential elections ( e. g., Presidential elections were in 2000 and 2004, gubernatorial elections were in 1998 and 2002 ).
Since Imbolc is immediately followed ( on 2 February ) by Candlemas ( Irish Lá Fhéile Muire na gCoinneal " feast day of Mary of the Candles ", Welsh Gŵyl Fair y Canhwyllau ), Irish imbolc is sometimes rendered as " Candlemas " in English translation ; e. g. iar n-imbulc, ba garb a ngeilt translated as " after Candlemas, rough was their herding ".
* The atomic mass unit ( u ) is defined so that a single carbon-12 atom has a mass of 12 u ; 1 u is approximately .< ref group =" note "> Since the Avogadro constant N < sub > A </ sub > is defined as the number of atoms in 12 g of carbon-12, it follows that 1 u is exactly 1 /( 10 < sup > 3 </ sup > N < sub > A </ sub >) kg .</ ref > The atomic mass unit is convenient for expressing the masses of atoms and molecules.
Since at a minimum the starting code address vector must always be valid on reset, systems commonly included some nonvolatile memory ( e. g. ROM ) starting at address zero to contain the vectors and bootstrap code.
Since all events are sets, they are usually written as sets ( e. g.
Since W ′ is isotropic, multiplication of elements of W ′ inside Cℓ ( V, g ) is skew.
Since 1982, when the International Organization for Standardization adopted Pinyin as the standard romanization of Chinese, many Western languages have changed from spelling this loanword dao in national systems ( e. g., French EFEO Chinese transcription and English Wade – Giles ) to dao in Pinyin.
Since the implementation of the international yard and pound agreement of 1959, a grain has been defined as exactly 64. 79891 milligrams ( mg ); hence one troy ounce is 31. 1034768 grams ( g ) ( exact by definition ), about 10 percent more than the avoirdupois ounce, which is 28. 349523125 g ( exact ).
Since the early 2000s, this rule was changed by the FEI so that each second or fraction of a second over the time allowed would result in 1 time penalty ( e. g. with a time allowed of 72 seconds, a time of 73. 09 seconds would result in 2 time faults ).
Since many dinosaur fossils were found in Mongolia, their names often use Mongolian words, e. g. Tarchia from tarkhi, meaning " brain ", or Saichania meaning " beautiful one ".
Since the early 1960s, with the availability of oracles for certain combinatorial games, also called tablebases ( e. g. for 3x3-chess ) with any beginning configuration, small-board dots-and-boxes, small-board-hex, and certain endgames in chess, dots-and-boxes, and hex ; a new area for data mining has been opened.
Since many components of natural foods have E numbers ( and the number simply is a synonym for the chemical component ), e. g. vitamin C ( E300 ) and lycopene ( E160d ), this is incorrect ; presumably the intent is that the ingredients list does not list any food additives by E number, that is, pure forms of the substances are not intentionally added.
Since the publication of the two original documents, a number of additional Microsoft memoranda on related topics have also been leaked and published ( e. g. Halloween VII ).
Since social capital is readily available no matter the type of community, it is able to override more traditional queues for political engagement ( e. g., education, employment, civil skills, etc .…).
For most bands and most small-to mid-size venues ( e. g., nightclubs and bars ), standard bass guitar speaker enclosures or keyboard amplifiers will provide sufficient sound pressure levels for onstage monitoring. Since a regular electric bass has a low " E " ( 41 Hz ) as its lowest note, most standard bass guitar cabinets are only designed with a range that goes down to about 40 Hz.

Since and =
The number of neutrons, N, is known as the neutron number of the atom ; thus, A = Z + N. Since protons and neutrons have approximately the same mass ( and the mass of the electrons is negligible for many purposes ), and the mass defect is usually very small compared to the mass, the atomic mass of an atom is roughly equal to A.
Since p ( x ) is irreducible, this means that p ( x ) = k ( x − a ), for some k F
Since we are assuming circular motion, let r ( t ) = R · u < sub > r </ sub >, where R is a constant ( the radius of the circle ) and u < sub > r </ sub > is the unit vector pointing from the origin to the point mass.
Since the separation of variables in this case involves dividing by y, we must check if the constant function y = 0 is a solution of the original equation.
Since all probabilities p < sub > i </ sub > add up to one: p < sub > 1 </ sub > + p < sub > 2 </ sub > + ... + p < sub > k </ sub > = 1, the expected value can be viewed as the weighted average, with p < sub > i </ sub >’ s being the weights:
Since 1989-867 = 1122, we form a new pair of numbers
Since 612 − 255 = 357 our next pair is
Since each region is triangular and each edge is shared by two regions, we have that 2e = 3f.
Since there are 24 hours in a day and 360 degrees in a circle, the sun moves across the sky at a rate of 15 degrees per hour ( 360 °/ 24 hours = 15 ° per hour ).
Since p is prime q − 1 must be a multiple of p. Of course, if the number m = < sup >( q − 1 )</ sup >⁄< sub > p </ sub > is odd, then q will be even, since it is equal to mp + 1.
Since they derive from a strong acid but weak base, they are both at about pH = 5 ; as a consequence, the morphine salts are mixed with small amounts of NaOH to make them suitable for injection.
Automobile exhaust gas capture has also been proposed to be economical but would require extensive design changes or retrofitting .< ref name = Musadi2011 > Since carbonic acid in seawater is in chemical equilibrium with atmospheric carbon dioxide, extraction of carbon from seawater has been studied.
Since ω = − dΦ / dt and k = + dΦ / dx, the wave velocity is v = dx / dt = ω / k.
Since the harmonic series, obtained when s = 1, diverges, Euler's formula ( which becomes ) implies that there are infinitely many primes.
Since the column vectors of A are the row vectors of the transpose of A ( denoted here by A < sup > T </ sup >), column rank of A equals row rank of A is equivalent to saying that the rank of a matrix is equal to the rank of its transpose, i. e. rk ( A ) = rk ( A < sup > T </ sup >).
Since 5 < sup > 2 </ sup > + 12 < sup > 2 </ sup > = 13 < sup > 2 </ sup >, ( 5, 12, 13 ) forms a Pythagorean triple.
Since τ refers to a vertical path, the optical depth for a slant path is τ ′ = m τ, where m is called the relative airmass, and for a plane-parallel
Since the E1 component of nuclear EMP depends on the prompt gamma ray output, which was only 0. 1 % of yield in Starfish Prime but can be 0. 5 % of yield in pure fission weapons of low yield, a 10 kiloton bomb can easily be 5 x 8 % = 40 % as powerful as the 1. 44 megaton Starfish Prime at producing EMP.
Since the surface area of a sphere of radius r is A = 4πr < sup > 2 </ sup >, then intensity I ( power per unit area ) of radiation at distance r is
Since 1 dB = 20 log < sub > 10 </ sub > 1. 122, we may say, in a voltage sense, that the 1dB compression point occurs when
Since ( 9 / 8 ) / ( 10 / 9 ) = ( 81 / 80 )— the syntonic comma — the fundamental characteristics of meantone systems are that all intervals are generated from fifths, and the syntonic comma is tempered to a unison.

0.447 seconds.