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 E. histolytica does not form cysts in the absence of bacteria, E. invadens has become used as a model for encystation studies as it will form cysts under axenic growth conditions, which simplifies analysis.

Since E. histolytica does not form cysts in vitro in the absence of bacteria, it is not possible to study the differentiation process in detail in that species.

Since 1996, it has been maintained by Thomas E. Dickey.

Since E < sub > 2 </ sub >-E < sub > 1 </ sub > ≫ kT, it follows that the argument of the exponential in the equation above is a large negative number, and as such N < sub > 2 </ sub >/ N < sub > 1 </ sub > is vanishingly small ; i. e., there are almost no atoms in the excited state.

Since the theorem was also discovered independently by E. T. Whittaker, by Vladimir Kotelnikov, and by others, it's also known as the Nyquist – Shannon – Kotelnikov, Whittaker – Shannon – Kotelnikov, Whittaker – Nyquist – Kotelnikov – Shannon, WKS, as well as the Cardinal Theorem of Interpolation Theory.

Since E and P are defined separately, this equation can be used to define D. The physical interpretation of D is not as clear as E ( effectively the field applied to the material ) or P ( induced field due to the dipoles in the material ), but still serves as a convenient mathematical simplification, since Maxwell's equations can be simplified in terms of free charges and currents.

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.

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 the E field is uniform in the direction of wire length, for a conductor having uniformly consistent resistivity ρ, the current density J will also be uniform in any cross-sectional area and oriented in the direction of wire length, so we may write:

Since only the microscopic fields E and B are needed in the derivation of

Since Led Zeppelin dissolved in 1980 with the death of Bonham, Jones has collaborated with a number of artists, including Diamanda Galás, R. E. M., Jars of Clay, Heart, Ben E. King, Peter Gabriel, Foo Fighters, Lenny Kravitz, Cinderella, The Mission, La Fura dels Baus, Brian Eno, the Butthole Surfers and Uncle Earl.

Since S * D * goods are imported, the government gains an area of C and E.

Since the time weather records have been kept, Oklahoma City has been struck by nine strong tornadoes, eight ( E )- F4's and one F5.

Since he first came to prominence in the mid-1960s, critics have cited Campbell as one of the leading writers in his field: T. E. D. Klein has written that " Campbell reigns supreme in the field today ", while S. T. Joshi stated, " future generations will regard him as the leading horror writer of our generation, every bit the equal of Lovecraft or Blackwood.

Since bile increases the absorption of fats, it is an important part of the absorption of the fat-soluble substances, such as the vitamins D, E, K and A.

Since 2008, A & E Network has aired Manhunters: Fugitive Task Force, following the NY / NJ Regional Task Force of the US Marshal Service.

Since March 6, 2011 A & E Network has aired Breakout Kings, a drama television series revolving around a task force of convicted criminals and U. S. Marshals working together in order to try and catch fugitives escaped from prison.

Since 2004, Brown has been a commentator on E!

Since 1998, every year the city of Port Hueneme holds a theme-based beach festival at 550 E. Surfside Dr., Port Hueneme, Ca 93041.

* Davis, Jack E. Race Against Time: Culture and Separation in Natchez Since 1930, Baton Rouge: Louisiana State University Press, 2001.

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 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:

Since 1983 ,< ref >

During a 1935 – 1942 colonization attempt, the island was most likely on Hawaii time, which was then 10. 5 hours behind UTC .< ref > Since it is uninhabited the island's time zone is unspecified, but it lies within a nautical time zone 12 hours behind UTC.

Since the 2002 civil war in Côte d ' Ivoire, relations between it and Burkina Faso have been filled with accusations of Burkinabé support for rebels on one side and claims of mistreatment of Burkinabé workers on the other .< ref > Blaise Campaoré :<< La crise ivoirienne inquiète le Burkina >>, Le Figaro, December 11, 2005 </ ref > Côte d ' Ivoire remains Burkina Faso's largest regional trading partner in spite of their disputes and tens of thousands of Burkinabés continue to work in the Ivory Coast.

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 a complete circle has 360 °, 1 < sup > h </ sup > of right ascension is equal to of this, or 15 degrees of arc, 1 < sup > m </ sup > of right ascension is equal to 15 minutes of arc, and 1 < sup > s </ sup > of right ascension is equal to 15 seconds of arc.

Since the most common trailer used in the U. S. is 53 feet ( 16 m ) in length, the difference in freight capacity between cab-over and conventional cab tractor / trailer combinations is negligible.

Since lunch is usually served between 2 and 4 p. m., another common time for tapas is weekend days around noon as a means of socializing before proper lunch at home.

Since the values for drag are based on relative velocity, using the scoop as a form of electromagnetic sail will provide additional thrust as long as the vessel is travelling at less than 500, 000 m / s away from a star.

Since < ƒ, ƒ > ≥ 0, φ ( f * f ) ≥ 0 for all ƒ in L < sup > 2 </ sup >( m ), where ƒ * is pointwise conjugate of ƒ.

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

Proof: Since p is a prime number the only possible values of gcd ( p < sup > k </ sup >, m ) are 1, p, p < sup > 2 </ sup >, ..., p < sup > k </ sup >, and the only way for gcd ( p < sup > k </ sup >, m ) to not equal 1 is for m to be a multiple of p. The multiples of p that are less than or equal to p < sup > k </ sup > are p, 2p, 3p, ..., p < sup > k − 1 </ sup > p = p < sup > k </ sup >, and there are p < sup > k − 1 </ sup > of them.

Since ord ( g ) = 0, the element g is invertible in K < nowiki ></ nowiki > X < nowiki ></ nowiki > ⊂ im ( D ) = ker ( Res ), whence Res ( ƒ '/ ƒ ) = m. Property ( iv ): Since ker ( Res ) ⊂ im ( D ), we can write ƒ = ƒ < sub >− 1 </ sub > X < sup >− 1 </ sup > + F ', with F ∈ K (( X )).

Since the construction of the Bukhtarma dam the lake has risen 6 m ( 20 ft ) above its natural level.

Since kinetic energy increases quadratically with velocity (), an object moving at 10 m / s has 100 times as much energy as one of the same mass moving at 1 m / s, and consequently the theoretical braking distance, when braking at the traction limit, is 100 times as long.

Since much of the traffic at the time was between Croydon and Le Bourget Airport in Paris, he proposed the word " Mayday " from the French m ’ aider.

Since October 2010, programming on both night's schedules has been somewhat fluid as while all series have a permanent place on the Friday and Sunday primetime schedules, episode premieres of all Disney Channel original series are subject to being rotated on and off the schedule depending on the schedule for that given week as they usually air as part of a 90-minute block from 8 – 9: 30 p. m. ET / PT on Friday evenings and 7: 30 – 9 p. m. ET / PT on Sunday evenings.

Since Sherman County is part of the Wichita media market and the local broadcast stations are repeat signals of Wichita affiliates, prime-time programming in the county is aired from 6 to 9 p. m. local time, rather than 7 to 10 p. m. as is normal in the Central and Mountain time zones.

Since both k and m are both between 1 and p-1, they must equal.

Since, the inequality could be satisfied for sufficiently small m. The sum of series first converges to the value of φ ( t ) with arbitrary high accuracy if m is small enough, and left part of the strong inequality is satisfied.

* Since m is surjective, we can find b in B such that b ′ =