The PI (or photosynthesis-irradiance) curve is a graphical representation of the empirical relationship between solar irradiance and photosynthesis. A...
7 KB (925 words) - 01:03, 18 May 2024
can be extended to any curve (non-Euclidean) geometry, these new circles will no longer satisfy the formula π = C d {\textstyle \pi ={\frac {C}{d}}} . Here...
148 KB (17,240 words) - 12:56, 27 June 2025
tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same' ἴσος (isos-) 'equal' and χρόνος (chronos) 'time') is the curve for which...
17 KB (3,136 words) - 14:13, 18 February 2025
Phillips curve: π = π e − b ( U − U n ) + v . {\displaystyle \pi =\pi _{e}-b(U-U_{n})+v.} This equation, plotting inflation rate π {\displaystyle \pi } against...
41 KB (5,606 words) - 23:50, 5 June 2025
"how fast" the curve moves towards P1 before turning towards P2. Writing BPi,Pj,Pk(t) for the quadratic Bézier curve defined by points Pi, Pj, and Pk, the...
50 KB (6,981 words) - 20:24, 19 June 2025
Circumference (redirect from C=pi*d)
straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure. Circumference may also refer to the circle...
9 KB (1,068 words) - 20:47, 11 May 2025
Non-uniform rational B-spline (redirect from NURBS curve)
2 , 2 π , 2 π , 2 π } {\displaystyle \{0,0,0,\pi /2,\pi /2,\pi ,\pi ,3\pi /2,3\pi /2,2\pi ,2\pi ,2\pi \}\,} . The circle is composed of four quarter...
31 KB (4,626 words) - 21:09, 4 June 2025
Arc length (redirect from Rectifiable curve)
Arc length is the distance between two points along a section of a curve. Development of a formulation of arc length suitable for applications to mathematics...
29 KB (5,339 words) - 08:06, 22 May 2025
Koch snowflake (redirect from Von Koch curve)
Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which...
21 KB (2,173 words) - 12:46, 24 June 2025
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...
54 KB (8,439 words) - 06:57, 19 June 2025
Albedo Fluence Illuminance Insolation Light diffusion PI curve (photosynthesis-irradiance curve) Solar azimuth angle Solar irradiance Solar noon Spectral...
8 KB (1,122 words) - 17:04, 31 May 2025
Gaussian function (redirect from Gaussian curve)
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...
30 KB (5,023 words) - 17:40, 4 April 2025
Renewable energy portal Energy portal Earth's energy budget PI curve (photosynthesis-irradiance curve) Irradiance Albedo Flux Power density Sun chart Sunlight...
59 KB (7,075 words) - 16:47, 9 July 2025
\qquad \qquad -{\tfrac {\pi }{2}}\leq \theta \leq {\tfrac {\pi }{2}}.\end{array}}} One easily checks that the spherical curve fulfills the equation of...
8 KB (1,425 words) - 15:07, 15 May 2025
Winding number (redirect from Index of the curve)
differentiable curve as a line integral: wind ( γ , 0 ) = 1 2 π ∮ γ ( x r 2 d y − y r 2 d x ) . {\displaystyle {\text{wind}}(\gamma ,0)={\frac {1}{2\pi }}\oint...
16 KB (2,292 words) - 13:53, 6 May 2025
A Lissajous curve /ˈlɪsəʒuː/, also known as Lissajous figure or Bowditch curve /ˈbaʊdɪtʃ/, is the graph of a system of parametric equations x = A sin ...
17 KB (1,897 words) - 05:55, 9 July 2025
Normal distribution (redirect from Bell Curve)
1 2 π σ 2 e − ( x − μ ) 2 2 σ 2 . {\displaystyle f(x)={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}e^{-{\frac {(x-\mu )^{2}}{2\sigma ^{2}}}}\,.} The parameter...
148 KB (21,531 words) - 03:40, 1 July 2025
dz=2\pi i\operatorname {Res} _{z=i}f(z)=2\pi i{\frac {e^{-t}}{2i}}=\pi e^{-t}.} The contour C may be split into a "straight" part and a curved arc, so...
45 KB (9,666 words) - 06:50, 1 May 2025
Rose (mathematics) (redirect from Rose curve)
rhodonea curve is a sinusoid specified by either the cosine or sine functions with no phase angle that is plotted in polar coordinates. Rose curves or "rhodonea"...
22 KB (2,976 words) - 00:01, 25 May 2025
Tai's model (redirect from A Mathematical Model for the Determination of Total Area Under Glucose Tolerance and Other Metabolic Curves)
Furcy; Maggio, Carol; Mezzitis, Nicholas; Pi-Sunyer, F Xavier (February 1, 1995). "The Use of Areas Under Curves in Diabetes Research". Diabetes Care. 18...
8 KB (837 words) - 06:52, 24 June 2025
Cycloid (category Roulettes (curve))
example of a roulette, a curve generated by a curve rolling on another curve. The cycloid, with the cusps pointing upward, is the curve of fastest descent under...
27 KB (3,936 words) - 22:12, 21 April 2025
mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective...
49 KB (7,993 words) - 07:23, 15 June 2025
Weierstrass function (redirect from Weierstrass curve)
everywhere but differentiable nowhere. It is also an example of a fractal curve. The Weierstrass function has historically served the role of a pathological...
20 KB (2,430 words) - 04:26, 4 April 2025
Line integral (redirect from Curve integral)
where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear integral are also used; contour...
21 KB (3,183 words) - 03:16, 18 March 2025
Spline (mathematics) (redirect from Spline curve)
and their capacity to approximate complex shapes through curve fitting and interactive curve design. The term spline comes from the flexible spline devices...
23 KB (3,784 words) - 15:53, 6 July 2025
Fenchel's theorem (category Theorems about curves)
space curve, stating that it is always at least 2 π {\displaystyle 2\pi } . Equivalently, the average curvature is at least 2 π / L {\displaystyle 2\pi /L}...
6 KB (788 words) - 18:02, 5 June 2024
In geometry, a deltoid curve, also known as a tricuspoid curve or Steiner curve, is a hypocycloid of three cusps. In other words, it is the roulette created...
6 KB (921 words) - 12:18, 10 March 2024
The butterfly curve is a transcendental plane curve discovered by Temple H. Fay of University of Southern Mississippi in 1989. The curve is given by the...
2 KB (275 words) - 00:07, 22 March 2025
Superellipse (redirect from Lamé curve)
{\frac {\pi }{2}}} where each ± {\displaystyle \pm } can be chosen separately so that each value of t {\displaystyle t} gives four points on the curve. Equivalently...
23 KB (2,979 words) - 03:37, 7 July 2025
_{u_{0}}^{u_{0}+2\pi }|z'(u)|\,du=\int _{0}^{2\pi }|z'(u)|\,du\;,} which is half the length of the entire curve. The desired chords, which divide the curve into halves...
7 KB (1,143 words) - 19:04, 4 January 2024