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.
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Most of the engineering classes are dependant on math knowledge; especially the solving of differential equations.
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Matrices can be used for circuit analysis because a circuit component can have an impedance matrix, an admittance matrix or a scattering matrix, of order equal to the number of ports the circuit has. This can also be used for antenna arrays when you have an antenna circuit connected to a feeder (transmission-line) circuit. Matrices are also used in the numerical solution of linear equations: when you have a system of N equations it needs matrices of order N. In field theory integral equations arise which can be solved numerically by using a piecewise-linear approximation which turns an integral equation into a set of linear equations. This is used for analysing raio antennas using the method of moments. All the above applications are coded into software which can be bought and used but designing the sotware falls inside the remit of electrical engineering.
Carbon dating would be one thing...
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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.
There is no application of differential equation in computer science
The theory of radio waves and waveguides is explained in terms of equations in the form of vector calculus. Examples are Maxwell's equations.
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You'll find ordinary differential equations (ODEs) being used in chemical engineering for many things, such as determining reaction rates, activation energies, mass transfer operations, heat transfer operations, and momentum transfer operations.
Everything in engineering requires applications of mathematics. Is this a joke? Mathematics is the QUEEN of the sciences. she RULES engineering. Without math, you have no engineering, any kind of engineering. Think of Mathematics as the Venus of the sciences.
Here are a few ideas about engineering problems:Most engineering applications will end up with an actual number which will be used in the application.Many engineering problems deal with equations that may be too complicated to solve emperically.Sometimes the actual response of the system cannot be put into known equations - the inputs and outputs of a system are measured and can be repeated, but a numerical model can be generated to give the desired outputs.
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Laplace transforms to reduce a differential equation to an algebra problem. Engineers often must solve difficult differential equations and this is one nice way of doing it.
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.