Algebra and Geometry - sgml/signature GitHub Wiki
- Birth Year: 940
- Birthplace: Buzhgan, Iran (modern-day Iran)
- Contributions: Algebra, geometry, trigonometry
- Notable Work: Extraction of roots, spherical trigonometry
- Bio: https://mathshistory.st-andrews.ac.uk/Strick/abul-wafa.pdf
- https://osdl.sourceforge.net/main/documentation/misc/nintendo-DS/graphical-chain/OSDL-graphical-chain.html
- https://groups.csail.mit.edu/graphics/classes/6.837/F03/lectures/13_pipeline_projection.pdf
Imagine you're analyzing the annual returns of an investment portfolio. The geometric mean would provide a more accurate representation of the overall growth rate over multiple years, factoring in compounding effects. --------------------------------------------------------------------------- SELECT EXP(SUM(LN(value)) / COUNT(value)) AS geometric_mean FROM your_table;
Sure thing! Here is the last table as markdown source code:
### Geometry Postulates, Properties, and Theorems
| Category | Name | Description |
|-----------------|--------------------------------|-------------------------------------------------------------------------------------------------------|
| Postulates | Euclid's Postulates | Fundamental postulates including straight lines, circle creation, right angles, and parallel lines. |
| | Parallel Postulate | Through a point not on a line, exactly one line can be drawn parallel to the given line. |
| Properties | Properties of Parallelograms | Opposite sides and angles are equal, diagonals bisect each other. |
| | Properties of Triangles | Interior angles sum to 180 degrees, Triangle Inequality Theorem. |
| Theorems | Thales' Theorem | Angle subtended by a diameter is a right angle. |
| | Congruence Theorems | SAS, ASA, and SSS congruence criteria for triangles. |
| | Similar Triangles Theorem | If triangles have equal corresponding angles, their sides are proportional. |
| | Circle Theorems | Various properties of angles subtended by arcs and cyclic quadrilaterals. |
### Algebra and Geometry Tables
| Field | Table Type | Description |
|------------|-------------------------------|-------------------------------------------------------------------------------------------------------|
| Algebra | Addition Table | Basic addition facts. |
| | Subtraction Table | Basic subtraction facts. |
| | Exponentiation Table | Results of raising numbers to various powers. |
| | Logarithm Table | Finding logarithms of numbers. |
| | Factorial Table | Factorials of numbers, useful in combinatorics and probability. |
| | Quadratic Formula Table | Solutions to quadratic equations using the quadratic formula. |
| | Modulus Table | Results of numbers divided by a given modulus, used in modular arithmetic. |
| Geometry | Trigonometric Table | Values of sine, cosine, tangent, and their reciprocals for various angles. |
| | Area and Volume Formulas Table| Formulas for calculating the area and volume of various shapes and solids. |
| | Pythagorean Triples Table | Sets of three integers satisfying the Pythagorean theorem. |
| | Polygon Properties Table | Properties of different polygons, including sides and interior angles. |
| | Coordinate Plane Quadrants Table | Properties and signs of coordinates in the four quadrants of the Cartesian plane. |- https://makezine.com/2018/05/24/john-collins-paper-airplanes-interview/
- https://www.nationalmuseum.af.mil/Portals/7/documents/education/similar_paper_airplanes_lesson_plan.pdf
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- https://sites.google.com/site/derekjjung/math-poetry
- https://www.smashingmagazine.com/2010/02/applying-mathematics-to-web-design/