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Intro
Give yourself a nickname
creating an alter ego
Rituals
Procrastinating
the Oprah Story
creative imagination
The Black Mamba
Identity based performance
Integrity
The Attitude of Playfulness
Charlatans
Bringing the fear out of the shadows
Enclothed cognition
Trapped Self
Discipline is Freedom
Scheduling Average
Favorite thing about working with elite athletes
Self ceiling knowledge
Ground Punch
The Alter Ego Effect
Area and volume; setting up affine geometry as independent of distance
Area of a parallelogram
General formula for area of a parallelogram; one of the most important formulas in mathematics
Algebraic approach to measuring area; bi-vector (Herman Grassmann); Grassmann algebra
Bi-vectors; torque
Linear momentum; conservation of momentum; momentum and force; Bi-vectors; angular momentum; torque
Bi-vector and electromagnetism; cross-product mentioned
Bi-vectors in the plane; operations on bi-vectors
Bi-vector Distributive laws
Claim: In the plane, every bi-vector is a multiple of the bi-vector of base vectors; geometric proof; algebraic proof
Example using the result of the previous page; in affine geometry area is a relative concept
2 More examples; Ratios of areas are affine geometry invariants
3_dim affine space; vector, bi-vector, tri-vector; pg 14: @ using tri-vectors to compute a volume
Exercises 4.(1:2)
Exercise 4.3. (THANKS to EmptySpaceEnterprise)