Sentence examples for quantity calculus from inspiring English sources

It is a corollary of that principle that quantities having no extent in any of those dimensions ("dimensionless quantities") will not be distinguishable as different kinds through dimensional analysis alone, and the formality of quantity calculus will be of no help in preventing mistakes where different kinds of dimensionless quantities are confused.

This paper applies a new fuzzy arithmetic of interval calculus and fuzzy quantities to automatic control.

As "evanescent quantities" infinitesimals were instrumental (although later abandoned) in Newton's development of the calculus, and, as "inassignable quantities", in Leibniz's.

Vibrating systems having system parameters, initial conditions or forcing functions defined as intervals rather than single-valued quantities have been modelled using interval calculus.

Max Born, later that year, realized that the transition quantities obeyed the rules of matrix calculus, a branch of mathematics that was not so well-known then as it is now.

The insistence that infinitesimals obey precisely the same algebraic rules as finite quantities forced Leibniz and the defenders of his differential calculus into treating infinitesimals, in the presence of finite quantities, as if they were zeros, so that, for example, x + dx is treated as if it were the same as x.

Both Leibniz and Newton (who also took advantage of mysterious nonzero quantities that vanished when convenient) knew the calculus was a method of unparalleled scope and power, and they both wanted the credit for inventing it.

As is well known, the inventors of the calculus relied on appeals to "infinitesimal" quantities, typically backed up by geometric or even mechanical considerations.

It encompasses anything except quantities that vary smoothly ("continuous mathematics") such as calculus and analysis.

But Beijing's calculus is political: It is easier to increase the quantity of water resources, at whatever cost, rather than allocate a limited supply between competing interests.

Of these properties only the last, in which a differential is considered to be a variable quantity tending to 0, survived the 19th century refounding of the calculus in terms of the limit concept[22].