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Heat equation. Animated plot of the evolution of the temperature in a square metal plate as predicted by the heat equation. The height and redness indicate the temperature at each point. The initial state has a uniformly hot hoof-shaped region (red) surrounded by uniformly cold region (yellow). As time passes the heat diffuses into the cold region.
Elementary algebra is interested in polynomial equations and seeks to discover which values solve them. Abstract algebra studies algebraic structures, like the ring of integers given by the set of integers (Z {\displaystyle \mathbb {Z} }) together with operations of addition (+ {\displaystyle +}) and multiplication (× {\displaystyle \times }). Algebra is the branch of mathematics that studies ...
An ordinary differential equation ( ODE) is an equation containing an unknown function of one real or complex variable x, its derivatives, and some given functions of x. The unknown function is generally represented by a variable (often denoted y ), which, therefore, depends on x. Thus x is often called the independent variable of the equation.
Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression . These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...
e. In mathematics, an ordinary differential equation ( ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown (s) consists of one (or more) function (s) and involves the derivatives of those functions. [1] The term "ordinary" is used in contrast with partial differential equations ...
In algebra, a septic equation is an equation of the form. where a ≠ 0 . A septic function is a function of the form. where a ≠ 0. In other words, it is a polynomial of degree seven. If a = 0, then f is a sextic function ( b ≠ 0 ), quintic function ( b = 0, c ≠ 0 ), etc. The equation may be obtained from the function by setting f(x) = 0 .
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