Sentence examples for highest exponent from inspiring English sources

Make sure that the degree of the numerator (in other words, the highest exponent in the numerator) is greater than the degree of the denominator.

standard form.. The term with the highest exponent should be first, and the term with the lowest exponent should be last.

The possible rational zeros are P/Q where P divides the constant term and Q divides the coefficient of the variable with the highest exponent.

Because the highest exponent is 2 (x2, this type of expression is "quadratic". Write a space for the answer in FOIL form. For now, just write in the space where you'll write the answer. We'll fill this out as we go. Don't write + or - between the blank terms yet, since we don't know which it will be. Fill out the First terms.

Since the x term with the highest exponent is x 2 (or, in other words, x × x), we'll start by setting up the factored form of the equation like this: (x + _)(x + _) = 0. Note the blank spaces — in the next few steps, we'll fill these in to complete the factored equation.

Noticing the symmetry of the right-hand item of Eq. (5) and setting the highest power exponents of u to equivalence in Eq. (4), m can be determined.

The liquid impact is modelled based on a phenomenological concept by introducing a power non-linearity with a higher exponent.

Quantitative pore size analysis and micromechanical modelling highlight that the high exponent above the changepoint is due to the closure of wide (∼200 300 μm) inter-granular flow channels during viscous densification and that, below the changepoint, the fluid pathway is restricted to narrow (∼50 μm) channels.

In particular, the higher exponent of the [Si] substitution mechanism means that the contribution of this hydrous defect to total water content will decrease more rapidly with decreasing ( {a}_{{mathrm{H}}_2mathrm{O}} ) than the contributions of the other substitution mechanisms.

In the acoustic near-field, even higher exponent of the jet velocity scaling is found for the positive phase velocity supersonic pressure component (∣∣˜p2∣∣~U10j), which is consistent with the scaling of the far-field noise at shallow exit angles [2], [3].

For constant amplitude cycles, the model is shown to reproduce well, up to several thousands of cycles, the Paris law behavior with a high exponent previously identified for concrete and ceramics, but with a crack growth rate depending on the structure size.