Technology & Mathematics Michael Herzog Qiyam Tung.

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Transcript of Technology & Mathematics Michael Herzog Qiyam Tung.

Technology & Mathematics

Michael HerzogQiyam Tung

Logicomix

Simple Classification

Pictorial ExplanationWhat creatures fall between the lines?

Width

Height

Modeling Videogames and Mathematics3D Games and Hit Detection

Video Games and Mathematics

Pictorial Explanation

Banjo “switches gears” once he touches the surface of the water.

1. 6=2(0.5)+3 = 42. False!3. 5=2(1)+3 = 54. True!5. 1=2(2)+3 =76. False!

Video Games and Mathematics

(1,5)

(0.5,6)

(2,1)

l y1=2x1+3, y1 = 6

Projectile Motion

Simulating Jumping with Quadratics

Task: decide which model is better for simulating a jump and find their coefficients.

Simulating Jumping with Quadratics

The actual code for the two models

Programming

Synthetic Division

Algorithm Analysis

l How long would it take to find any name in a phonebook in the worst case scenario?

Search Time

1

2

3

4

height =log2 (n)

2 (base) = number of children per nodeheight = seconds it will take to searchn = the number of names.

Comparing Linear and Binary Searches

y = timex = number of names