Sentence examples for making the substitution from inspiring English sources

By making the substitution (2.6).

Making the substitution k − j = m and integrating by parts, we obtain λ 1 − α ( 1 − α ) ∑ m = 0 k − 1 τ 1 m !

Similarly, making the substitution for probabilisticdepressing synapses: 〈 e − 2 T / τ s 〉 = r τ s 2 ( τ s + 2 τ D ) ( 2 + r τ s ) (28).

The numerous galleries produced by the xylophagous insects weakened the wood, making the substitution of elements or the introduction of plugs necessary.

(3) Including this term is equivalent to making the substitution (Omega (t)longrightarrowOmega(t)(1+beta_{{Omega}}(t))) in the control Hamiltonian, where (beta_{{Omega}}(t)) describes a (multiplicative) noise source in the amplitude of the driving field.

Making the substitution V ̂ ( θ, q ) = V ( θ, q ) - G ( q θ ), π ̂ - G ( q θ ) reduces the monopolist's problem to: max q - C ( q p d θ, (12).

On if managing a two-quarterback system and making the substitutions is more difficult than he thought it would be… No, I don't think so.

and making the substitutions, we obtain (3.9).

end{aligned} Making the substitutions (x=1-frac{1}{2}u) and (y=1-frac{1}{2}v ) and simple calculations, we get inequality (3.21).

Timelines depend on how "necessary" the chemical is for the performance the company is trying to achieve and whether similar substitutes are available in sufficient quantities to make the substitution happen, he says.

I made the substitution because I wanted to reinforce the midfield.