|
1
|
|
|
|
Intro
|
|
|
75 位听众
|
|
2
|
播放单曲
|
|
|
How to Design the Perfect Shaped Wheel for Any Given Road
|
|
|
61 位听众
|
|
3
|
|
|
|
Intro & Review
|
|
|
55 位听众
|
|
4
|
|
|
|
Polygon Wheels
|
|
|
51 位听众
|
|
5
|
|
|
|
Elliptical Wheel
|
|
|
39 位听众
|
|
不想看到广告？马上升级
|
|
6
|
|
|
|
Wheels From Roads
|
|
|
31 位听众
|
|
7
|
|
|
|
The Many Wheels for a Sinewave
|
|
|
28 位听众
|
|
8
|
|
|
|
How to Get a Closed Wheel
|
|
|
28 位听众
|
|
9
|
|
|
|
Wheels are not gears!
|
|
|
27 位听众
|
|
10
|
|
|
|
The Wheel(s) for a Cycloid Road
|
|
|
27 位听众
|
|
11
|
|
|
|
Defining smooth rolling
|
|
|
26 位听众
|
|
12
|
|
|
|
What's wrong with wheels?
|
|
|
22 位听众
|
|
13
|
|
|
|
The Topologist's Sine Curve
|
|
|
22 位听众
|
|
14
|
|
|
|
The Wheel for a Parabolic Road
|
|
|
22 位听众
|
|
15
|
|
|
|
Sidenote about gears
|
|
|
21 位听众
|
|
16
|
|
|
|
What Lies Between a Function and Its Derivative? | Fractional Calculus
|
|
|
20 位听众
|
|
17
|
播放单曲
|
|
|
When CAN'T Math Be Generalized? | The Limits of Analytic Continuation
|
|
|
18 位听众
|
|
18
|
|
|
|
How to Design a Wheel That Rolls Smoothly Around Any Given Shape
|
|
|
17 位听众
|
|
19
|
|
|
|
How to design actual gears
|
|
|
17 位听众
|
|
20
|
|
|
|
The goal of this video
|
|
|
17 位听众
|
|
21
|
|
|
|
What Gear Shape Meshes With a Square?
|
|
|
16 位听众
|
|
22
|
|
|
|
Is this one connected curve, or two? Bet you can't explain why...
|
|
|
16 位听众
|
|
23
|
|
|
|
The partner for a square
|
|
|
16 位听众
|
|
24
|
|
|
|
The partner for an ellipse
|
|
|
16 位听众
|
|
25
|
|
|
|
Sanity check
|
|
|
16 位听众
|
|
不想看到广告？马上升级
|
|
26
|
播放单曲
|
|
|
What Lies Between a Function and Its Derivative? (SoME2) | Fractional Calculus
|
|
|
15 位听众
|
|
27
|
|
|
|
Envelopes
|
|
|
15 位听众
|
|
28
|
|
|
|
Topology basics
|
|
|
13 位听众
|
|
29
|
|
|
|
The Dynamics of Rolling
|
|
|
12 位听众
|
|
30
|
|
|
|
The connection between ellipses and parabolas
|
|
|
12 位听众
|
|
31
|
|
|
|
Parametrizing an orbiting gear
|
|
|
11 位听众
|
|
32
|
|
|
|
Computing the envelope
|
|
|
11 位听众
|
|
33
|
|
|
|
The Wheel for a Triangle Wave Road
|
|
|
11 位听众
|
|
34
|
|
|
|
Vertical Alignment Property
|
|
|
11 位听众
|
|
35
|
|
|
|
A snag
|
|
|
11 位听众
|
|
36
|
|
|
|
Connectedness 2.0 and the Topologist's Sine Curve
|
|
|
11 位听众
|
|
37
|
|
|
|
The Wheel for a Sawtooth Road
|
|
|
11 位听众
|
|
38
|
|
|
|
Example gear pairs
|
|
|
10 位听众
|
|
39
|
|
|
|
How to do two (or more) integrals with just one
|
|
|
10 位听众
|
|
40
|
|
|
|
Can you change a sum by rearranging its numbers? --- The Riemann Series Theorem
|
|
|
9 位听众
|
|
41
|
|
|
|
A Look Ahead and a Challenge
|
|
|
9 位听众
|
|
42
|
|
|
|
The Perfect Road for a Square Wheel and How to Design It
|
|
|
8 位听众
|
|
43
|
|
|
|
Navigating an Infinitely Dense Minefield | Why Measure Infinity?
|
|
|
8 位听众
|
|
44
|
|
|
|
Ground News ad
|
|
|
8 位听众
|
|
45
|
|
|
|
Wrap Up
|
|
|
8 位听众
|
|
|
|
46
|
|
|
|
Describing the Road and Wheel
|
|
|
8 位听众
|
|
47
|
|
|
|
Stationary Rim Property
|
|
|
8 位听众
|
|
48
|
|
|
|
A look back
|
|
|
8 位听众
|
|
49
|
|
|
|
The Concept So Much of Modern Math is Built On | Compactness
|
|
|
7 位听众
|
|
50
|
|
|
|
The Perfect Road for a Square Wheel
|
|
|
7 位听众
|
