The PI (or photosynthesis-irradiance) curve is a graphical representation of the empirical relationship between solar irradiance and photosynthesis. A derivation of the Michaelis–Menten curve, it shows the generally positive correlation between...
The number π ( ; spelled out as pi) is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter. It appears in many formulae across mathematics and physics, and some of these formulae are...
A tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same', ἴσος (isos-) 'equal' and χρόνος (chronos) 'time') is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest...
Arc length is the length of a curve from beginning to end. Conceptually, if we imagined the curve as a string, the arc length is how long the string would be if we straightened it out. It can be formalized mathematically for smooth curves using...
A Lissajous curve , also known as Lissajous figure or Bowditch curve , is the graph of a system of parametric equations x = A sin ( a t + δ ) ...
A Bézier curve ( BEH-zee-ay, French pronunciation: [bezje]) is a parametric curve used in computer graphics and related fields. A sequence of discrete "control points" defines a smooth, continuous curve by means of a formula. Usually the curve is...
In mathematics, Viviani's curve, also known as Viviani's window, is a figure-eight-shaped space curve named after the Italian mathematician Vincenzo Viviani. It is the intersection of a sphere with a cylinder that is tangent to the sphere and passes...
In the functional theoretic algebra C[0, 1] of continuous curves on the unit interval, an n-curve is a specific transformation of a given base curve. For a loop γ: [0, 1] → C {\displaystyle...
In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over a field K and describes points in K2, the Cartesian product of K with itself. If the...
In differential geometry, Fenchel's theorem is an inequality on the total absolute curvature of a closed smooth space curve, stating that it is always at least 2 π {\displaystyle 2\pi } ....