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...

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

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...

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...

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...

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...

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...

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

"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...

− 1 2 ( x − μ ) 2 σ 2 ) . {\displaystyle g(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}\exp \left(-{\frac {1}{2}}{\frac {(x-\mu )^{2}}{\sigma ^{2}}}\right).}...

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

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

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...

interpolated with n cubic Hermite curve segments, for each curve we have a starting point pi and an ending point pi+1 with starting tangent di and ending...

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...

{\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...

_{y}((x,y))=x} and π x ( ( x , y ) ) = y , {\displaystyle \pi _{x}((x,y))=y,} that map the curve onto the coordinate axes. They are called the projection...

normal distribution or Gaussian distribution (also known as the "bell-shaped curve") is a concept used in probability theory and statistics. The normal distribution...

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...

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...

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...

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

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

curve of a given curve results from the orthogonal projection of a fixed point on the tangent lines of this curve. More precisely, for a plane curve C...

3\theta \,.} The curve has three singularities, cusps corresponding to t = 0 , ± 2 π 3 {\displaystyle t=0,\,\pm {\tfrac {2\pi }{3}}} . The parameterization...

corresponding to the angles θ = ± π / 6 {\displaystyle \theta =\pm \pi /6} . When considered as a curve in the projective plane there is also a third infinite inflection...

{\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...