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...

"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...

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...

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...

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...

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...

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...

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

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

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...

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 ⁡...

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...

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

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...

where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear integral are also used; contour...

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...

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

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"...

_{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...

(red curve in the diagram). This generatrix m 0 {\displaystyle m_{0}} is the only generatrix of the cone that is parallel to plane π {\displaystyle \pi }...

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...

{\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...

{\displaystyle \int _{-\infty }^{\infty }e^{\pm iax^{2}}dx={\sqrt {\frac {\pi }{a}}}e^{\pm i\pi /4}} where a is real and positive; this can be evaluated by closing...

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}...

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...

Furcy; Maggio, Carol; Mezzitis, Nicholas; Pi-Sunyer, F Xavier (February 1, 1995). "The Use of Areas Under Curves in Diabetes Research". Diabetes Care. 18...