The PI (or photosynthesis-irradiance) curve is a graphical representation of the empirical relationship between solar irradiance and photosynthesis. A...

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...

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...

tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same' ἴσος (isos-) 'equal' and χρόνος (chronos) 'time') is the curve for which...

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...

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...

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...

\qquad \qquad -{\tfrac {\pi }{2}}\leq \theta \leq {\tfrac {\pi }{2}}\ .\end{array}}} One easily checks that the spherical curve fulfills the equation of...

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...

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...

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

"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...

Albedo Fluence Illuminance Insolation Light diffusion PI curve (photosynthesis-irradiance curve) Solar azimuth angle Solar irradiance Solar noon Spectral...

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...

_{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...

(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...

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)\...

{\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...

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...

Renewable energy portal Energy portal Earth's energy budget PI curve (photosynthesis-irradiance curve) Irradiance Albedo Flux Power density Sun chart Sunlight...

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...

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...

and their capacity to approximate complex shapes through curve fitting and interactive curve design. The term spline comes from the flexible spline devices...

= 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...

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...

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...

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...

Hermite spline Beta spline B-spline Higher-order spline NURBS Perimeter Pi Plane curve Pochhammer contour Polar coordinate system Prime geodesic Projective...

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 ⁡...