For each z ∈ C, we define: e^z = e^(x+iy) = e^x(cos(y) + i sin(y)) = e^x cos(y) + i e^x sin(y). For z ∈ R, z = x + i0, e^z = e^(x+0i) = e^x(cos(0) + i sin(0)) = e^x. 2. -z = -1 * z, so e^(-z) = 1/e^z ...

Abstract: Summary form only given. Early was proposed new types of basis functions for variational calculations of the quantum-mechanical systems with Coulomb interaction between the particles. This ...

Abstract: The paper presents an accurate and simple method for the approximation of the nonlinear B-H curves using expansion into complex exponential series. The least-squares fit of the model is ...

Description: This MATLAB project provides a detailed visualization of the complex exponential Fourier series representation of a periodic signal. It computes and plots the amplitude and phase spectra ...

31 March 2026. Project is open to Home applicants only. The solutions of a polynomial equation have an algebraic structure, a Galois group, which gives the symmetry group of the solutions under field ...

Figure 4. A snapshot, in time, of two complex numbers whose exponents, and thus their phase angles, change with time. The notion of negative frequency is often troubling to engineers who've spent so ...

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