"The maximum amount of bilateral trade possible between us, even if we make great efforts, is infinitesimal in terms of our total economy," Mr. Kissinger said.
This was never more clearly shown than by his dismissive judgment that "the maximum amount of bilateral trade possible between us, even if we make great efforts, is infinitesimal in terms of our total economy".
The early "arithmetizers" found a way to avoid infinitesimals (in terms of the epsilon-delta characterization of limit processes familiar from current introductions to the calculus).
The numerical simulator shows excellent agreement with a reference solution, obtained on a dense grid and infinitesimal time step, in terms of fluid pressure head, fluid content, and fluid volumetric flux density and perfectly conserves the global mass.
Following Newton's lead, he conceived of infinitesimals or differentials in terms of the limit concept, which he formulated by the assertion that one varying quantity is the limit of another if the second can approach the other more closely than by any given quantity.
When the semigroup (ϕt) is hyperbolic, we describe the point spectrum of the infinitesimal generator of (Tt) in terms of the geometry of Ω.
The TS, which quantifies the sensitivity of the misfit cost functional to the creation at a specified location of an infinitesimal hole, is expressed in terms of the time convolution of the free field and a supplementary adjoint field as a function of that specified location.
Detailed scenarios of the two coupling modes, corresponding to the two phase transition mechanisms, are built in terms of infinitesimal slips among possible slip systems of α-iron.
The TD, which quantifies the sensitivity of the misfit cost functional to the creation at a specified location of an infinitesimal trial crack, is expressed in terms of the time convolution of the free field and an adjoint field as a function of that specified location and of the trial crack shape.
Cauchy defined an infinitesimal in Cours d'Analyse (1827) in terms of a sequence tending to zero.
The corollary is that any overt effort by a director and cast to pay attention to the times is usually not in terms of the ambient infinitesimal but of the thematic, and the effort — to make a movie that reflects the times, that shows How We Live Now — is generally doomed to pontification and bombast (usually beginning with unwarranted assumptions about who "we" are).
