Sentence examples for many equations and from inspiring English sources

Being a technical book, it has many equations and examples of analysis or simulated results.

Many equations and systems contain as special cases product-type ones [20, 32].

Many equations and correlations used in the design and optimization of fluidized unit operations are based on the assumptions particles that interact only with each other are collisional.

By investigating the above model and comparing with Gupur [10], one may find that the main difficult points of the above equations (1.1 - 1.8 1.1 - 1.8 there are infinithat many equathere are boundary condinfinitely

On the other hand, a highly detailed model that contains many equations and parameters is unlikely to improve intuitive understanding of a system or process.

This leads to two conclusions: (1) many equations (and in various forms) can describe the relation, and (2) we have likely reached a plateau in the fit for two-parameter equations.

The material is well organized, bringing together a large amount of information, and in general, explanations and development of the many equations are clear and well written.

Many equations involving F and not T or S are fully reversible, and so Helmholtz's work allowed for the application of the Hamiltonian to many chemical processes.

Many of the main features of vapor liquid and liquid liquid phase behavior were well characterized experimentally during the early part of the 20th century, and many equations of state were developed to reproduce the many types of phase diagrams observed for binary systems.

We say that equation (1.1) satisfies the 〈 p, q 〉 condition if there exactly exist p distinct meromorphic solutions of (1.1) with pole of multiplicity q at z = 0. We know that verifying the fact that equation (1.1) satisfies the 〈 p, q 〉 condition may be very difficult, and many equations (1.1) do not satisfy the 〈 p, q 〉 condition.

Theorem 3 has been applied to many equations, see [3, 5] and references therein, but so far no example of equation (1) with a function f increasing in both variables which has stable equilibrium points and stable period-two solutions has been exhibited.