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 TPF can run as a second level guest under IBM's z / VM, a user can employ the VM trace facility to closely follow the execution of code.

However, C language programming is much easier to obtain skilled people in, so most if not all new development is done in C. Since z / TPF allows assembler programs to be repackaged into 1 logical file, critical legacy applications can be maintained and actually improve efficiency-the cost of entering one of these programs will now come at the initial enter when the entire program is fetched into core and logical flow through the program is accomplished via simple branch instructions, instead of a dozen or so IBM instructions previously needed to perform what is known as ' core resident enter / back '.

Since z / VSE 3. 1, Fibre Channel access to storage devices is supported, although only on IBM's Enterprise Storage Server ( ESS ) and its successors.

Since it is nonnegative it has at most one real root in z, whence its discriminant is less than or equal to zero, that is,

Since this force varies with the position of the charge and by Coloumb's Law it is defined at all points in space, is a continuous function of the charge's position ( x, y, z ).

Since this * z changed to * r in the Scandinavian languages and in West Germanic ( German, Dutch, English, Frisian ), Verner's Law resulted in alternation of * s and * r in some inflectional paradigms, known as grammatischer Wechsel.

Since an nth degree polynomial equation can only have n distinct roots, this implies that the powers of a primitive root z, z < sup > 2 </ sup >, ... z < sup > n − 1 </ sup >, z < sup > n </ sup >

Since all z / OS installations usually have both TSO and TSO / E functions installed, it is normal to refer to both TSO and TSO / E as " TSO ".

Since all its poles lie on the negative real axis, from z

Since, for a free-electron model, the contribution to the current density is directly proportional to the area in energy space ( with the Sommerfeld supply density z < sub > S </ sub > as the constant of proportionality ), it is useful to think of the ECD as drawn from electron states in an area of size d < sub > F </ sub >< sup > 2 </ sup > ( measured in eV < sup > 2 </ sup >) in the energy-space diagram.

Since root locus is a graphical angle technique, root locus rules work the same in the z and s planes.

Since the factor ( z − a )< sup > n </ sup > does not depend on the variable of integration w, it can be pulled out:

Since z < sup > 1 / 2 </ sup > = e < sup > 1 / 2 Log ( z )</ sup >, on the contour outside the branch cut, we have gained 2π in argument along γ ( by Euler's Identity, represents the unit vector, which therefore has as its log.

Since the motion is planar, and p and L are perpendicular, p < sub > z </ sub >

Since rays in space can be parameterized by three coordinates, x, y, and z and two angles and, as shown at left, it is a five-dimensional function.

Since z < sub > 0 </ sub > is a local maximum for this function also, it follows from the maximum principle that | f ( z )| is constant.

Since λ has modulus 1, multiplying any split-complex number z by λ preserves the modulus of z and represents a hyperbolic rotation ( also called a Lorentz boost or a squeeze mapping ).

Since n grows faster than log < sub > 2 </ sub >( n ), there must exist a value n < sub > 0 </ sub > such that

This subextension is called a separable closure of K. Since a separable extension of a separable extension is again separable, there are no finite separable extensions of K < sup > sep </ sup >, of degree > 1.

Since the 1990s, SO < sub > 2 </ sub > emissions have dropped 40 %, and according to the Pacific Research Institute, acid rain levels have dropped 65 % since 1976.

Since B < sub > n </ sub >= 0 for all odd n > 1, and many formulas only involve even-index Bernoulli numbers, some authors write B < sub > n </ sub > instead of B < sub > 2n </ sub >.

Since the mass numbers of these are 12, 13 and 14 respectively, the three isotopes of carbon are known as carbon-12, carbon-13, and carbon-14, often abbreviated to < sup > 12 </ sup > C, < sup > 13 </ sup > C, and < sup > 14 </ sup > C.

Since the map d restricts to 0 on I < sub > x </ sub >< sup > 2 </ sup > ( the reader should verify this ), d descends to a map from I < sub > x </ sub > / I < sub > x </ sub >< sup > 2 </ sup > to the dual of the tangent space, ( T < sub > x </ sub > M )< sup >*</ sup >.

Since at this stress the slope of the material's stress-strain curve, E < sub > t </ sub > ( called the tangent modulus ), is smaller than that below the proportional limit, the critical load at inelastic buckling is reduced.

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 < tt > ns1 </ tt > is contained in < tt > example. org </ tt >, this requires resolving < tt > example. org </ tt > first, which presents a circular dependency.

Since every equivalence relation over X corresponds to a partition of X, and vice versa, the number of possible equivalence relations on X equals the number of distinct partitions of X, which is the nth Bell number B < sub > n </ sub >:

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: