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  1. 1 dzień temu · The exponential function is defined on the entire domain of the complex numbers.The definition of sine and cosine can be extended to all complex numbers via ⁡ = ⁡ = + These can be reversed to give Euler's formula = ⁡ + ⁡ = ⁡ ⁡ When plotted on the complex plane, the function for real values of traces out the unit circle in the complex plane.. When is a real number, sine and cosine ...

  2. 2 godz. temu · In this section, we construct an essentially non-oscillatory backward-characteristics scheme to solve highly convective problems. To this end, given a two-dimensional bounded domain \(\varOmega \subset \mathbb {R}^{2}\) with Lipschitz boundary \(\varGamma \) and a time interval [0, T], we are interested in solving the following problem:

  3. 2 godz. temu · where v c is the isothermal sound speed. The equation has critical point at v = v c, through which the solution should pass, so that the flow at a great distance is supersonic.The initial speed cannot be arbitrary, and must be quite definite (~10 km s −1).At a temperature 10 6 K, Eq. gives at a distance of 1 AU a speed of about 300 km s −1This is quite consistent with the slow solar wind.

  4. 2 godz. temu · The timestamp distance will be sufficient for both the meteorological and astronomical indicators’ observation given that they can be witnessed by everyone in the area. The Haversine equation presented below was used to compute the shortest distance between two points on an earth surface using latitude and longitude parameters.

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