Integrating an exponential function Homework Statement Show ##\int_{0}^{1}e_n(x)\overline e_k(x) dx = 1## if ##n=k## and ##0## otherwise. Homework Equations ##e_n(x) = e^{2\pi inx}##. The Attempt at a Solution Consider 2 cases: case 1: ##n=k##. Then ##\int_...
aCompared with others ,I 'm not a determined people.I can't give up everything just beacause of an aim. I know it's not right and brave. But it doesn't mean that I haven't got any chance. Even though a tiny chance ,I want to try from this minute 正在翻译,请等待...[translate...
How do I integrate an exponential with a higher power? Homework Statement I'm being dead thick, but I can't remember how to integrate an exponential function. \int x^3e^{-\alpha x^2}dxHomework Equations The Attempt at a Solution I reckon that this shouldn't be too complex, but I've...
integrating calculating part 4 for developing and calculating the data by the use of a value in a referring auxiliary integrating value storing part 7, an exponential function estimating calculating part 5 and a low order auxiliary integrating calculating part 6 for calculating a recurrence formula. ...
Functional annotations have the potential to increase power of genome-wide association studies (GWAS) by prioritizing variants according to their biological function, but this potential has not been well studied. We comprehensively evaluated all 1132 tra
First, we show how the Lambert W function, which is often used in Physics, can be integrated into the tolerance design domain without resorting to those numeral methods. Second, we derive the Lambert W function based closed-form solutions to tolerance optimization problems by showing mathematical ...
the features of an individual crop may encompass various aspects, such as size, shape, color, texture, and other relevant traits. Labels in this context might indicate the type of plant, such as “corn”, “wheat”, or “soybean”. A practical application of machine learning involves construc...
Instead of attacking the problem in the nonlinear differential manifold SO(3) (pure rotational dynamics), as is usually done, we derive equations for the complete problem of motion (translational and rotational dynamics) on an extended manifold. We develop a generalization of Runge-Kutta methods ...
Integrating to determine speed as a function of time Homework Statement Homework Equations The above formulas The Attempt at a Solution I'm lost on where to start with this. The object has an intial velocity in the X direction and has the resistive force of the plontons acting upon it when...
systems. The main idea behind these methods is to integrate exactly the linear part of the problem and then use an appropriate approximation of the nonlinear part. Thus the exponential function, and functions which are closely related to the exponential function, appear in the format of the ...