a collection by sciencesid
Art
Rose created with polynomoials, logarthims, exponential functions, and inequalities with domain restrictions.
A beautiful demonstration of how derivatives apply on the polar plane as theta varies
Music Theory
Exploring interactions in equal temprament tuning using sums of sine waves, sliding variables, and a UI. *Requires opening to enable sound
Extracted waveform values from clips of instruments using Audacity and analytically used error bounds to extrapolate harmonics in order to recreate the timbre *Requires opening to enable sound
Real life Modeling
Using online data (cited in details), these functions can let you calculate an approximate relationship between curb weight, horsepower, and acceleration times.
ROIs for multiple continously compounding rates; acounts for interest and weekly inputs
Model of the max friction on a tire based on curbweight, gear ratios, RPM, and size; calculates max crank torque/hp
This is a tool to help figure out the required angle to fit a piece of furniture in a restricted space, using geometry.
Some calculations that helped me understand tuning on a more fundamental level involving the fuel-injected 4-stroke lifecycle
Simple regression to get battery voltage correction values between listed manufacturer values
Applications of Geometry & Calculus I
First exploration involving adjustible values--visually demonstrates geometry concepts within a trianlge
Carefully set bounds in order to trace a 3D projected pattern in 2D with minimal math
Simple application of the definition of limits
Definition of MVT graphically illustrated
Calculus II/III Concepts
Simple application of partial derivatives in R^3, forming tangential planes
Simple application of the fundementals of creating Taylor Series
Gamma function + pattern recognition
Differential Equations, Linear algebra, Discrete Mathematics, etc.
Nothing available thusfar
