charlesrkiss's channel

charlesrkiss commented 7 months ago

26:59 Add to

AlgTop13: More applications of winding numbers

We define the degree of a function from the circle to the circle, and use that to show that there is no retraction from the disk to the circle, the...

1,886 views

charlesrkiss said:

I guess I'm just questioning the generality of continuity; probably would be a good idea if there were some way around it! No pun intended, of course.

**ughhhh**

• 26:59 Add to

  AlgTop13: More applications of winding numbers

  We define the degree of a function from the circle to the circle, and use that to show that there is no retraction from the disk to the circle, the...

  1,886 views

  charlesrkiss said:

  If there were "holes" everywhere; ie. "some real numbers didn't exist" (say, in reality =>discrete), everything would be multiply-connected and could be mapped from S3 to S2 to S1, etc.

  Perhaps fractional exponents could fit more nicely into transformations between functions of different degre...

• 26:59 Add to

  AlgTop13: More applications of winding numbers

  We define the degree of a function from the circle to the circle, and use that to show that there is no retraction from the disk to the circle, the...

  1,886 views

  charlesrkiss said:

  I dislike how in projective geometry a pole is mapped to infinity [AlgTop4: 3:06], ie. by either continuous and discrete approximations; and here [11:36], a pole (P(1), can't be mapped to degree 0.

  This seems contradictory.

  If an origin didn't exist, but was a "singularly missing point", D...

• 34:56 Add to

  AlgTop25: More on the fundamental group

  This video continues our discussion of the fundamental group of a space. We show that the homotopy classes of closed loops from a fixed point on a ...

  2,599 views

  charlesrkiss said:

  Excellent, super-fast drawer and writer; lots of energy. Great teacher; hope he's doing well.

  In this lecture, I'm a little confused about the loop/(all loops) being closed down to the constant loop, Xo, [4:00] while in another lecture AlgTop13 [11:36], the retraction, seems to contradict this: ...

• 34:56 Add to

  AlgTop25: More on the fundamental group

  This video continues our discussion of the fundamental group of a space. We show that the homotopy classes of closed loops from a fixed point on a ...

  2,599 views

  charlesrkiss said:

  Excellent, super-fast blackboard writer and drawer; lots of energy. Love these lectures and can't wait for the beyond!

• 52:23 Add to

  AlgTop22: Knots and surfaces I

  1,331 views

  charlesrkiss said:

  Every point in science is important to the world.

• 47:50 Add to

  AlgTop10: More on graphs and Euler's formula

  We discuss applications of Euler's formula to various planar situations, in particular to planar graphs, including complete and complete bipartite ...

  2,243 views

  charlesrkiss said:

  Is the 4-color theorem true for even the Israeli settlements on the West Bank?? Surely there is an exception there! :)

• 45:35 Add to

  AlgTop8: Polyhedra and Euler's formula

  We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertice...

  2,989 views

  charlesrkiss said:

  Would someone please put all AlgTop# lectures in a playlist for us? That would be sweet.

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charlesrkiss commented 9 months ago

2:36 Add to

Einstein vs Stephen Hawking -Epic Rap Battles of History #7

Download this song: http://bit.ly/EpicRap7

Tweet this Vid-ee-oh: http://clicktotweet.com/TpUg9

Hi. My name is Nice Peter, and this is an Epic Rap...

35,616,056 views

charlesrkiss said:

How about Jesus H. Christ vs. Mohammed.

Or are you scared?

It can go something like this,

"You never walked on water, or floated up in the air,

three days after you got killed. And what's up you're

always wearing a towel, coverin' up your hair."

etc.

I'll be waiting.

• 5:29 Add to

  Mars Science Laboratory (Curiosity Rover) Mission Animation

  This artist's concept animation depicts key events of NASA's Mars Science Laboratory mission, which will launch in late 2011 and land a rover, Curi...

  477,826 views

  charlesrkiss said:

  @dergster yeah, it sure is!!

• 5:29 Add to

  Mars Science Laboratory (Curiosity Rover) Mission Animation

  This artist's concept animation depicts key events of NASA's Mars Science Laboratory mission, which will launch in late 2011 and land a rover, Curi...

  477,826 views

  charlesrkiss said:

  Very, very beautiful!!

  But I thought there was no sound in the vacuum of space.

+ One more videoshow less