Non-local means

2014-02-03T21:58:06Z

88.164.16.51: /* See also */ Removed link to self

{{orphan|date=December 2011}}

== Geometric shapes ==
This is a short list of some common mathematical shapes and figures and the formulas that describe them.

=== Two-dimensional shapes ===
{| class="wikitable"
|-
! Shape !! [[Area]] !! Perimeter/Circumference
|-
| [[Square]] || A = side x side || P = 4 x side
|-
| [[Rectangle]] || A = l × w || P = 2l + 2w
|-
| [[Circle]] || A = π × <math>r^2</math> || C = 2 × π × r
|-
| [[Ellipse]] (where a is the semimajor axis and b is the semiminor axis) || A = π × a × b ||
|-
| [[Triangle]] || A = ½ × b × h || P = a + b + c
|-
| [[Parallelogram]] b = base, h = height, a = side || A = b × h || P = 2a + 2b
|-
| [[Trapezoid]] (where a and b are the bases) || A = ½(a + b) × h ||
|}<ref>http://www.austincc.edu/tutor/students/resources/Geometry.pdf</ref>
<ref>http://www.math.com/tables/geometry/areas.htm</ref>

=== Three-dimensional shapes ===

{| class="wikitable"
|-
! Shape !! [[Volume]] !! Surface area
|-
| [[Cube]] || <math>V=s^3</math> || <math>6s^2</math>
|-
| Rectangular Prism l = length, h = height, w = width || V = l × w × h || S = 2lw + 2l''h'' + 2''wh''
|-
| [[Sphere]] || V = (<math>4/3</math>) π <math>r^3</math> || 4π <math>r^2</math>
|-
| Right Circular Cylinder || V = π × <math>r^2</math> × h || S = 2π rh + 2π <math>r^2</math>
|}<ref>http://www.math.com/tables/geometry/volumes.htm</ref>

===LaTeX markup (for writer/editors)===
====Circle (area and circumfrence)====

<math>C = \,2\pi r</math>

<math>A = \,\pi r^2</math>

<math>dA = \,\mathrm{d}r\,\mathrm{d}\theta</math>

====Sphere (area and volume)====

<math>A = 4\pi r^2</math>

<math>V = \frac{4}{3}\pi r^3</math>

<math>dA = r^2 \sin\theta\, d\theta\, d\phi</math>

<math>\mathrm{d}V=r^2\sin\theta\,\mathrm{d}r\,\mathrm{d}\theta\,\mathrm{d}\varphi</math>

==References==
<references/>

[[Category:Elementary geometry]]

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Non-local means