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Linear programming approach does not apply the same way in different applications. In some advanced applications, the equations used for linear programming are quite complex.
Well, cauchy-riemann differential equation is a part of complex variables and in real-life applications such as engineering, it can be used in determining the flow of fluids, such as the flow around the pipe. In fluid mechanics, the cauchy-riemann equations are decribed by two complex variables, i.e. u and v, and if these two variables satisfy the equations in an open subset of R2, then the vector field can be asserted from the two cauchy-riemann equations, ux = vy (1) uy = - vx (2) This I think can help interpreting the potential flow (Wikipedia) in two dimensions using the cauchy-riemann equations. In fluid mechanics, the potential flow can be analyzed using the cauchy-riemann equations.
Electromagnetism
Herman Betz has written: 'Differential equations with applications' -- subject(s): Differential equations
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The folium of Descartes is a curve with applications in mathematics and physics. It is used in studying polynomial equations and as an example of a curve in algebraic geometry. In physics, it can model certain physical phenomena involving curves and equations.
Helen from the show the jeffersons
D. Daners has written: 'Abstract evolution equations, periodic problems and applications' -- subject(s): Evolution equations, Numerical solutions, Parabolic Differential equations
Zeev Schuss has written: 'Theory and applications of stochastic differential equations' -- subject(s): Stochastic differential equations
Carbon dating would be one thing...
Applications of ordinary differential equations are commonly used in the engineering field. The equation is used to find the relationship between the various parts of a bridge, as seen in the Euler-Bernoulli Beam Theory.