Difference between revisions of "Z3Help"
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===Matrix – as a Set of Set(s)=== | ===Matrix – as a Set of Set(s)=== | ||
===Matrix Operator(||)=== | ===Matrix Operator(||)=== | ||
| + | ===Set input functions=== | ||
| + | ===|| Binary Operation=== | ||
| + | ====Member functions of set==== | ||
| + | ===Applied To Operator=== | ||
| + | ====Combinatorial Arguments==== | ||
| + | ====Applying Combinatorial Set to Set of Functions==== | ||
| + | ====Simple Function Representations==== | ||
| + | ====Easy Multi-Line Representation of z^3 Code==== | ||
| + | ====Using || as "Such That" Boolean Expressions==== | ||
| + | ===Associative Set/Composite Set As Objects=== | ||
| + | ====<<< Member Assignment Operator==== | ||
| + | ====Global Assignments using <<<==== | ||
| + | ==Functions== | ||
| + | ===Set of Functions=== | ||
| + | ===Simple Reusable Function Declarations=== | ||
| + | ====Combinatorial Arguments==== | ||
| + | ===Set $, $$, $$$ and $_ Member Functions=== | ||
| + | ===Set Functions and Set Programming=== | ||
| + | ===Advanced computation of lists=== | ||
| + | ===Series computation=== | ||
| + | ==Built-in Functions in z^3== | ||
| + | ===Permutations and Combinations=== | ||
| + | ====Common Number Series==== | ||
| + | ====Simple Number Stats==== | ||
| + | ====Set Operations==== | ||
| + | ==z^3 Simple Examples== | ||
| + | ===Sets and Related Structures=== | ||
| + | ====Matrices==== | ||
| + | =====Matrix Generation===== | ||
| + | =====Hilbert Matrix===== | ||
| + | =====Hermitian Matrix===== | ||
| + | ======Hankel Matrix====== | ||
| + | ====Toeplitz matrix==== | ||
| + | ====Hadamard Matrix==== | ||
| + | ====Vandermonde Matrix==== | ||
| + | ====Upper and Lower-Triangular matrix and Symmetric matrix 70==== | ||
| + | ====Pascal Matrix==== | ||
| + | ===Matrix Sizes=== | ||
| + | ===Matrix Operations=== | ||
| + | ===Matrix Arithmetic Operations=== | ||
| + | ===Vector Operations=== | ||
| + | ====Matrix Determinants==== | ||
| + | ====Matrix Rotations==== | ||
| + | ====Simple Matrix Merging with Functions==== | ||
| + | ====Across Matrices Merging with Functions==== | ||
| + | ====Quick Multiplication Tables==== | ||
| + | ===Puzzles and Other Interesting Computations=== | ||
| + | ====Magic Square==== | ||
| + | ====N-Queens Puzzle==== | ||
| + | ====Birthday Probability==== | ||
| + | ====Towers Of Hanoi==== | ||
| + | ====Floyds Triangle==== | ||
| + | ====Fractals-Mandelbrot==== | ||
| + | ====Lissajous==== | ||
| + | ====Graphing Data curve==== | ||
| + | ===Financial Functions=== | ||
| + | ===Statistical Functions:=== | ||
| + | ==Appendices== | ||
| + | ===Appendix I Operators=== | ||
| + | ===Appendix II: Simple Set and Objects=== | ||
| + | ====Set==== | ||
| + | ====Associative Set/Objects==== | ||
| + | ===Appendix III: Javascript and z^3=== | ||
| + | ====Using Set Member Functions==== | ||
| + | ===Appendix IV Series Generation=== | ||
| + | ====Arithmetic Series==== | ||
| + | ====Geometric Series==== | ||
| + | ====Prepacked Series==== | ||
| + | ====Date Series==== | ||
| + | ====Alphabet Series==== | ||
| + | ===Appendix V Member Functions=== | ||
| + | ==How to work with zcubes= | ||
Revision as of 04:34, 20 July 2016
Introduction
Why another programming language? Don’t we have enough of them? Well, let us try this real world experiment. Go to the best programmer you know. Pick the simplest formula you can think of: E=mc2. Ask how the Energy (E) can be calculated, for a mass (m) of 1kg, 2kg, 3kg,… 10kg and for a constant Speed of Light (3x10^8m/s). Let us just watch the programmer for what happens next. Yes, go ahead and start a stop watch! It is likely that the programmer would pull up a spreadsheet, and type formulae notations into the document such as on the right, and within a minute or so, give you the answers.