Sentence examples for calculus to solve the from inspiring English sources
(I'll note that while it is natural and effective to use calculus to solve the maximization problem in the induction step, it can be done without calculus by using substitution to put the function to be maximized in the form A – (f(x))^2, which is clearly maximized when f(x) = 0).
Newton, for one, invented integral calculus to solve the following problem, which was essential to his formulation of the law of universal gravitation: Assuming that the attractive force between any pair of point particles is inversely proportional to the square of the distance separating them, how does a spherical distribution of particles, such as the Earth, attract another nearby object?
But it takes tools like calculus to solve them; thus the difficulty in learning physics.
It seems that Hilfer et al. [1, 34] have initially proposed linear differential equations with the new fractional operator, the Hilfer fractional derivative, and applied operational calculus to solve such simple fractional differential equations.
Mathematicians, physicists, and engineers have recently employed fractional calculus to solve varieties of models of applied problems in different fields.
While closed-form expressions are derived for the finite-element matrices associated with elastic and fractional terms, fractional calculus is used to solve the decoupled equations of motion, in both time and frequency domain.
However, they did not consider to directly use the Δ-calculus theory on time scales to solve the almost periodic problems of differential equations on time scales since many time scales are not completely closed under translations, which will lead to the functions defined by translations being not well defined on time scales.
A key step of an index calculus algorithm for solving ECDLP is to solve the point decomposition problem.
Our western society and capitalist system is geared toward an aggressive "pursuit" -- perhaps more commonly known as the Rat Race -- where happiness is linked to chasing after a certain job title, salary, car model or any number of random boxes that need to be checked to solve the happiness calculus.
The inductive approach allows us to solve the ramification problem for the situation calculus in a uniform and modular way.
What are the "most effective charities?" Ones that: — Aim to solve the most serious problems (in the normal calculus, this means that providing bed nets to save children from malaria ranks above helping public radio stations or art museums).
