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2. HDMI - Wikipedia

   en.wikipedia.org/wiki/HDMI

   Premium High Speed HDMI Cable with Ethernet; In conjunction with the HDMI 2.1 specification, a third category of cable was announced on January 4, 2017, called "48G". [81] Also known as Category 3 HDMI or "Ultra High Speed" HDMI, the cable is designed to support the 48 Gbit/s bandwidth of HDMI 2.1, supporting 4K, 5K, 8K and 10K at 120 Hz. [82]

3. Sagitta (geometry) - Wikipedia

   en.wikipedia.org/wiki/Sagitta_(geometry)

   In the following equations, denotes the sagitta (the depth or height of the arc), equals the radius of the circle, and the length of the chord spanning the base of the arc. As 1 2 l {\displaystyle {\tfrac {1}{2}}l} and r − s {\displaystyle r-s} are two sides of a right triangle with r {\displaystyle r} as the hypotenuse , the Pythagorean ...

4. Arc length - Wikipedia

   en.wikipedia.org/wiki/Arc_length

   Arc length s of a logarithmic spiral as a function of its parameter θ. 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 and the sciences is a focus of calculus.

5. Radius of curvature - Wikipedia

   en.wikipedia.org/wiki/Radius_of_curvature

   where c ∈ ℝ n is the center of the circle (irrelevant since it disappears in the derivatives), a,b ∈ ℝ n are perpendicular vectors of length ρ (that is, a · a = b · b = ρ 2 and a · b = 0), and h : ℝ → ℝ is an arbitrary function which is twice differentiable at t. The relevant derivatives of g work out to be

6. Calculus of variations - Wikipedia

   en.wikipedia.org/wiki/Calculus_of_Variations

   Calculus of variations is concerned with variations of functionals, which are small changes in the functional's value due to small changes in the function that is its argument. The first variation [ l ] is defined as the linear part of the change in the functional, and the second variation [ m ] is defined as the quadratic part.

7. Chord (geometry) - Wikipedia

   en.wikipedia.org/wiki/Chord_(geometry)

   The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle. The angle θ is taken in the positive sense and must lie in the interval 0 < θ ≤ π (radian measure).