integral curve is a parametric curve that represents a specific solution to an ordinary differential equation or system of equations. Integral curves...

mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear...

For example, a line integral is defined for functions of two or more variables, and the interval of integration is replaced by a curve connecting two points...

Gaussian is a characteristic symmetric "bell curve" shape. The parameter a is the height of the curve's peak, b is the position of the center of the peak...

contours provide a precise definition of the curves on which an integral may be suitably defined. A curve in the complex plane is defined as a continuous...

curve. Determining the length of an irregular arc segment by approximating the arc segment as connected (straight) line segments is also called curve...

is called nonautonomous by definition. An integral curve of the equation above (also called an integral curve of X) is a map α : I ⊂ R ⟶ M {\displaystyle...

In mathematics, the Cauchy integral theorem (also known as the Cauchy–Goursat theorem) in complex analysis, named after Augustin-Louis Cauchy (and Édouard...

usually known as normalized Fresnel integrals. The Euler spiral, also known as a Cornu spiral or clothoid, is the curve generated by a parametric plot of...

differential calculus and integral calculus. The former concerns instantaneous rates of change, and the slopes of curves, while the latter concerns accumulation...