Sentence examples for example the exponential from inspiring English sources

For example, the exponential of a complex number is defined byez = 1 + z + z2/2! + z3/3! +⋯where n! = n(n − 1)⋯3∙2∙1.

For example, the exponential function ex may be expressed as the sum of the infinite series1 + x + x2/2 + x3/6 + ⋯ + xn/n! + ⋯Stopping the calculation after any finite value of n will give an approximation to the value of ex that will be in error, but this error can be made as small as desired by making n large enough.

For example, the Exponential Weighted Moving Average (EMA) prediction method, which forms a good candidate for modelling the prediction of the system resources in this work, has been discussed in detail in [14].

For example, the exponential function is the function which is equal to its own derivative everywhere, and assumes the value 1 at the origin.

In bacteria, population heterogeneity is somewhat of a novel concept: for a long time, it was considered that cells engaged in a specific physiological phase, for example the exponential or the stationary phase, were all synchronous and equivalent.

Consider, for example, the exponential equation.

The likelihood that model B fits the data better than model A, for example, is the exponential of the half of the difference in the respective AICs (Akaike 1974), that is, a difference of 10 in the AIC translates to a P value of.

In Figure 1, we show an example of the exponential profile property that is assumed for the noise eigenvalues.

Examples are the exponential and gamma, the gamma and exponentiated exponential, the Weibull and exponentiated Weibull, and the exponentiated exponential and exponentiated Weibull distributions.

Perona-Malik [8] proposed for example the following exponential functions (known as edge stopping function): g ( ∇ I t i ( x, y ) ) = 1 1 + ∇ I t i K 2 (10).

For example, the conventional exponential function and the cubic polynomial function have been used to describe activity metabolism for steady swimming animals [1] [6].