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...
146 KB (17,390 words) - 14:59, 17 August 2024
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 (5,623 words) - 20:39, 4 May 2024
tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same' ἴσος (isos-) 'equal' and χρόνος (chronos) 'time') is the curve for which...
16 KB (2,976 words) - 16:15, 16 July 2024
geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890. Peano's curve is a surjective, continuous...
5 KB (593 words) - 22:19, 15 December 2022
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...
22 KB (2,535 words) - 16:11, 18 April 2024
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 (4,620 words) - 20:28, 31 July 2024
\qquad \qquad -{\tfrac {\pi }{2}}\leq \theta \leq {\tfrac {\pi }{2}}\ .\end{array}}} One easily checks that the spherical curve fulfills the equation of...
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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...
7 KB (1,002 words) - 20:21, 26 June 2024
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 (4,946 words) - 19:43, 16 June 2024
Arc length (redirect from Rectifiable curve)
curve. Determining the length of an irregular arc segment by approximating the arc segment as connected (straight) line segments is also called curve...
29 KB (5,174 words) - 23:16, 19 July 2024
Sphere (redirect from Spherical curve)
concept in astronomy. Manufactured items including pressure vessels and most curved mirrors and lenses are based on spheres. Spheres roll smoothly in any direction...
41 KB (5,328 words) - 17:48, 16 August 2024
"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 (6,966 words) - 17:04, 18 July 2024
Albedo Fluence Illuminance Insolation Light diffusion PI curve (photosynthesis-irradiance curve) Solar azimuth angle Solar irradiance Solar noon Spectral...
8 KB (1,097 words) - 11:52, 11 August 2024
dz=2\pi i\cdot \operatorname {Res} \limits _{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...
13 KB (3,282 words) - 19:47, 28 June 2024
_{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
DAD–SAS model (section DAD curve)
(Equilibrium aggregate Supply) curve. The short run SAS curve is given by the equation: π = π e + λ ( Y − Y ∗ ) {\displaystyle \pi =\pi ^{e}+\lambda (Y-Y*)} v...
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u(t)=\cos(2\pi t)+i\sin(2\pi t)\,} and its n-curve is u n ( t ) = cos ( 2 π n t ) + i sin ( 2 π n t ) {\displaystyle u_{n}(t)=\cos(2\pi nt)+i\sin(2\pi nt)\...
8 KB (1,938 words) - 20:30, 20 March 2021
Area of a circle (redirect from Pi r^2)
{\displaystyle 2\pi (1-\cos R)<\pi R^{2}<2\pi (1-\cosh R)} for all R > 0 {\displaystyle R>0} . Intuitively, this is because the sphere tends to curve back on itself...
37 KB (5,877 words) - 07:41, 25 February 2024
famous example is the following curve: γ ( t ) = e i t t ∈ [ 0 , 2 π ] , {\displaystyle \gamma (t)=e^{it}\quad t\in \left[0,2\pi \right],} which traces out...
10 KB (1,635 words) - 21:31, 20 December 2022
Renewable energy portal Energy portal Earth's energy budget PI curve (photosynthesis-irradiance curve) Irradiance Albedo Flux Power density Sun chart Sunlight...
58 KB (7,014 words) - 04:52, 27 July 2024
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 (9,663 words) - 18:18, 14 July 2024
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 (2,289 words) - 23:19, 10 May 2024
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...
25 KB (4,449 words) - 01:18, 21 July 2024
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 μ {\textstyle...
149 KB (22,393 words) - 03:35, 14 August 2024
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 (8,301 words) - 16:50, 17 August 2024
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 (7,984 words) - 19:34, 7 February 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...
3 KB (311 words) - 06:37, 19 July 2024
Hermite spline Beta spline B-spline Higher-order spline NURBS Perimeter Pi Plane curve Pochhammer contour Polar coordinate system Prime geodesic Projective...
3 KB (262 words) - 20:23, 11 March 2022
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 ...
16 KB (1,651 words) - 21:58, 27 November 2023