Sentence examples for the formulae for from inspiring English sources

Aristotle stated the formulae for two possible analogical inferences: "As A is to B, so C is to D"; and "As A is in B, so C is in D".

We also obtain the formulae for the -Euler numbers.

The formulae for calculating the area, wetted perimeter are presented.

The formulae for the determination of those coefficients are given.

In Section 4, we compute the formulae for determining the Hopf bifurcation properties.

Hence, using the formulae for z and ψ from Sect. 4, namely Eqs.

The formulae for these distributions are often very complex and computationally problematic.

The formulae for this specific hybrid energy system model are presented in the following paragraphs.

Moreover, we also derive the formulae for the above three thresholds.

We provide the formulae for three types of minimax optimal designs over a user-specified region.

Then the formulae for the axial compression and transversal displacement are presented.