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Viète showed that the solution of many algebraic equations could be expressed by the use of trigonometric expressions.
This leads to a compact form of Galerkin's conditions, which in turn yield as many algebraic equations as the number of unknown parameters and frequency(ies).
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Detailed simulation models of large engineered systems are often mathematically and computationally complex, consisting of many partial differential and algebraic equations.
So many geometric combinations, variations and algebraic equations it makes the head spin.
Congruences, particularly those involving a variable x, such as xp≡x (mod p), p being a prime number, have many properties analogous to those of algebraic equations.
This requires an appropriate mathematical model of the system that includes many inter-related linear/nonlinear differential and algebraic equations.
Remark 3.3 Differential algebraic equations (DAE) arise in many important problems; see, for instance [10, 12].
"Going Negative" is a work of political science, stuffed with charts and tables and algebraic equations, but it conforms in many of its essentials to the wisdom of the popular press.
The problem of solving either exactly or approximately a linear system of algebraic equations is very important and it appears in many engineering and scientific applications.
Obviously, there are many sets of points that are appropriate candidates for leading to the independent algebraic equations.
Many scientific and engineering applications involve inverting large matrices or solving systems of linear algebraic equations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com