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Divide both Sides

Solvers Sides of Equations

What: Divide both sides of == by the same expression. Why: Such side-wise division is an essential computation for solving equations. Time to Complete: 3 hours. eq = (x - 3 == 17*y); lhs = eq.left / 17; rhs = eq.right /17; eq2 = (lhs == rhs); show eq2;...

Multiply both Sides

Solvers Sides of Equations

What: Multiply both sides of == by the same expression. Why: Such side-wise multiplication is an essential computation for solving equations. Time to Complete: 4 hours. eq = (x - 3 == y / 13); lhs = eq.left * 13; rhs = eq.right * 13; eq2 = (lhs == rhs);...

Preface

Solvers

This mostly live-code computational Wiki book addresses two audiences: STEM high school students to undergraduate college level students Programmers' and computer scientists' learning habitat to freely experiment with new concepts in programming languages On...

Implicit Line Equation

Vector Algebra Lines

line

Words

Solvers Background

"I am a word"

solve a*x +b == 0 for x

Solvers solve[ ]

sol = solve a*x +b == 0 for x; show sol; save as solve4; Output "sol" β†’ {-(b/a)}

Spray a Line!!!

Vector Algebra Lines

What: Sprinkle points along a 2D line and play Why: The equations and inequlities dealing with lines suddenly make better sense How: Get your eyes trained on reading math and code, by simply copy-paste one or few lines of the ff scripts below into new ff pr...

Manual Operations on the Sides

Solvers Sides of Equations

What: Use ff to duplicate the manual ways handling equations as taught in school teachings. Why: To make sure you understand how to manipulate sides of an equation on your own. How: Simply try to duplicate what the teacher does to solve an equation by work...

Why???

Free Form Programming

A Very Simple Idea Create a programming language that in one sentence it is part algebraic or programming language like and part loose spoken phrases. We called these Free Form expressions or simply Free Form. Rather immediately it became obvious such language...

Path Variables

Free Form Programming

Paths and Options variables Confidential, unauthorized access forbidden. CCN Studios internal proprietary software documentation. πžͺ3.0 Synopsis Path variables are based upon the file paths β€œ/../../..” and β€œ../../..” string formats. In Free Form Programm...

=

Free Form Programming

= operator in Free Form Programming Language Confidential, unauthorized access forbidden. CCN Studios internal proprietary software documentation. πžͺ3.0 Synopsis Generally speaking the operation of the operator = in most programming languages is to copy...

hash[ ], βŒ—[ ], βŒ—@

Applicable Cryptography Digital Signature

A hash code is a fixed-size numerical value generated from input data of arbitrary size, used primarily for indexing data in hash tables. It allows for efficient data retrieval and storage by mapping variable-length data to a fixed-length representation. Th...

Preface

Applicable Cryptography

The Free Form Programmable Cryptography is designed for applicable coding, and standalone application units with instant use and benefit for the public. The Free Form Programmable Cryptography uses ideograms, pictograms and small Spoken phrases, however with...

πŸ”, πŸ”‘, πŸ—, β­”

Applicable Cryptography Blockchain

A very simple and a very short but a very powerful program: πŸ”; show (β­”πŸ”‘); show (β­”πŸ—); show πŸ”‘ also πŸ—; save as 2keys-show-test; Output Cloud Object Browser

πŸ”‘: Public Key, πŸ— Private Key

Applicable Cryptography Asymmetic Keys

Public-key cryptography, or asymmetric cryptography, An unpredictable (typically large and random) number is used to begin generation of an acceptable pair of keys suitable for use by an asymmetric key algorithm. Free Form Programmable Keys πŸ”‘: Public Key Β πŸ— Pr...

πŸ”

Applicable Cryptography Asymmetic Keys

πŸ” is a mighty operator, function and a cloud data source all at once! In the ff script below you can see on the first line πŸ” acts as singleton operator or function and , and on the 3rd line as a cloud data source: πŸ”; tmp = "πŸ”/curve"; show tmp; save as 2keys; O...

Encrypt: πŸ”‘πŸ”’

Applicable Cryptography Asymmetic Keys

Symbol πŸ”’behaves like a binary operator πŸ”’ encrypts what is on its rhs e.g. πŸ”’m πŸ”‘πŸ”’uses the key on its lhs to encrypt crypt = πŸ”‘πŸ”’ m just like e.g. multiplication copies the resultant into the lhs of = πŸ”‘πŸ”’ m behaves like a product by the operator πŸ”’incorporating is ...

Decrypt: πŸ”’ πŸ—

Applicable Cryptography Asymmetic Keys

πŸ” ["rsa"] ; bob = "hi"; crypt = πŸ”‘πŸ”’ bob; alice = crypt πŸ”’ πŸ—; show bob also alice; save as rsa; Output: "bob" ⟢ "(\"hi\")" "alice" ⟢ "(\"hi\")"