Recent content by Jeff.N

Let X be continuous a random variable who's support is the entire real line and who's cumulative distribution function satisfies the initial value problem F'(x)=s\cdotF(x)a\cdot(1-F(x))b F(m)=1/2 note that a>0, b>0, s>0 and m is real. m is the median of the distribution, Is it...

The same is true in 2D for an arbitrary curve, however, that didn't stop me. "2D Reflections in circles be generalized to arbitrary 2D curves by finding the normal line(s) through the curve passing through the point we wish to reflect and inverting that point in the respective circle(s) of...

How does one find the image of a point under reflection in an arbitrary surface. the image of a point X reflected in a plane P is the point X' on the normal line to P through X such that distance(X,P)=distance(X',P) and X(!=)X' the image of a point X reflected in a sphere S, X', is the...

- A photon can carry binary information, right handed spin can be denoted 1 and left handed spin can be denoted 0 (or vice versa) -A photon can carry positive real number valued data, its wavelength This is based on information, in the strict technical sense, being a sequence of characters...

Reflection in a spherical mirror behaves like inversion in the sphere, which is the 3D equivalent to inversion in a circle. 2D Reflections in circles [i think, just play along] can be generalized to arbitrary 2D curves by finding the normal line(s) through the curve passing through the point we...

It depends on the curvature of what your reflecting. If you drew a picture on the inside of a large sphere, which has the same center as the smaller spherical mirror, then the spherical mirror will not produce any distortion. Sphereical mirrors produce distortion when the thing you reflect isn't...

The displacement of a point of string on a string instrument arbitrarily near the bridge or bow over time is approximately somewhere between a saw and a triangle wave. Each period is composed of 2 straight lines, one increasing one decreasing, and the function is continuous. Saw and Square...

How Does Reflection Behave In Arbitrary Surfaces Hi I am interested to know how reflection would behave in a mirror on a surface of negative [gaussian] curvature. I tried googleing it and found nothing useful Thanks Edit: Reflection in a sphere behaves like inversion in a sphere...