"for a manifold" is correct and usable in written English.
It is commonly used as a phrase to express a variety of purposes, and may be used in the middle or at the end of a sentence. Example sentence: She prepares for a manifold of tasks each morning.
A principle example is the Laplace operator for a manifold with an asymptotically conic singularity.
However, we are asking for a manifold increase in White Lies about how we are brilliant geniuses and the like, and a corresponding decrease in Brown Lies, about what might happen in the future.
The previous lemma also holds for a manifold O ′ of dimension lower than 2 n.
This cohort has then served as a panel for a manifold of studies over the years.
□ Remark 2.7 The previous lemma also holds for a manifold O ′ of dimension lower than 2 n.
This will enable mass production of cheap sensors for a manifold of applications including, for example, environmental analytics, facility surveillance, bio-medical sensors, and point-of-care diagnostics among others.
A three-dimensional analysis procedure for the thermal performance of a manifold microchannel heat sink has been developed and applied to optimize the heat-sink design.
For illustration, a manifold microchannel heat sink is evaluated experimentally and computationally.
For simplicity, a manifold can be thought of as a generalized, n-dimensional surface embedded in some higher dimensional space, where the dimension of the manifold may be fractal (as is the case for the Lorenz attractor).
Like many pieces that Forsythe has choreographed, the rigorous creative process for "Catalogue" involved a manifold of iterations that were refined and honed — and sometimes scrapped — before the premiere.
For example, when a manifold is synthesized in accordance with the concepts green and square, the outcome is a perceptual experience in which the object is perceived as green and square.
