Sentence examples for formulate the expression from inspiring English sources

Theoretically, the actual cutting velocity and the relative vibrations in both feed and normal directions are combined to formulate the expression of instantaneous uncut chip thickness, which is then used to derive the equations of dynamic cutting forces.

Upon the completion of step 1 and step 2, we can formulate the expression for the maximum achievable secrecy rate by utilizing the m th relay as C S m = 1 2 log 2 1 + γ s k ∗ ( m ) r m γ r m d 1 + γ s k ∗ ( m ) r m + γ r m d 1 + γ s k ∗ ( m ) r m γ r m e 1 + γ s k ∗ ( m ) r m + γ r m e (11).

Alternatively, for a particular variable i, predictions can be made using the appropriate marginal distribution, which is Gaussian, with mean and variance, given by (5) where For a GP that is derived through a linear filter,, where X t) is a white noise GP, h(t) is a kernel function and W t) is an additive noise, it is easy to formulate the expression of a derivative process.

The examples in the modules helps students visualize the problems a strategy for them to formulate the needed expression for solving.

It's about people saying, 'Oh yeah, I've got mates like that.''' In one scene, Prakash, who is about to get married, is shown joking with his brother Sunjay that he needs to formulate the "right expression" for the moment when he "sees his new wife for the first time".

We formulate the following expression using [40] int_{0}^{infty} A, Q left(sqrt{Bt}right) frac{1}{C}, e^{-t/C} dt = frac{1}{2}, A left 1-sqrt{frac{BC}{BC+2}} right).

Then, we formulate the following expression to describe the large scale path loss from a transmitter to its receiver and it is the dB model of m r x,t x [21]: begin{aligned} {M_{rx,tx}}[text{dB}] &= 10*alpha log (4pi d) + 10*alpha log (f) &- 20log ({l_{T}}*{l_{R}}), end{aligned} (2).

This technique utilizes fuzzy set theory to quantify uncertainties, fault tree to model the system, and lambda tau method to formulate the mathematical expressions of system's failure/repair rates and the genetic algorithm is utilized to solve established nonlinear programming problems.

An extensive mathematical analysis has been performed to formulate the close-form expressions for SNRs in order to compare system performances toward favorable BER under BPSK modulation scheme.

Maxwell formulated the mathematical expression relating the change in magnetic flux to the induced electromotive force (E, or emf).

In developing the Whig ideology underlying the exclusion controversy and the Glorious Revolution, he formulated the classic expression of liberalism, which was instrumental in the great revolutions of 1776 and 1789.