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/sci/ - Science & Math

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>> No.1115555 [View]
File: 165 KB, 710x923, 14-Connect with Care.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115551 [View]
File: 170 KB, 689x986, 13-Tensor Product.jpg [View same] [iqdb] [saucenao] [google]
1115551

I lied, tensors show up on page 13

>> No.1115546 [View]
File: 42 KB, 634x405, 12-Not Covectors-2.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115540 [View]
File: 177 KB, 720x1023, 11-Not Covectors-1.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115532 [View]
File: 71 KB, 692x601, 10-Covector Example-1.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115524 [View]
File: 79 KB, 748x708, 09-Vector Example-1.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115520 [View]
File: 63 KB, 691x557, 08-Covectors-2.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115515 [View]
File: 167 KB, 744x993, 07-Covectors-1.jpg [View same] [iqdb] [saucenao] [google]
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>>1115505
You of little faith.
You haven't even seen the notation yet! Wait until page 15

It's cake compared to the usual notation.

>> No.1115507 [View]
File: 69 KB, 756x445, 06-Functions-2.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115501 [View]
File: 163 KB, 773x996, 05-Functions-1.jpg [View same] [iqdb] [saucenao] [google]
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The flood blocker is lame...

>> No.1115494 [View]
File: 154 KB, 730x1033, 04-Vectors-2-Rules.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115485 [View]
File: 119 KB, 715x845, 03-Vectors-1.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1115482 [View]
File: 188 KB, 846x1098, 02-Numbers-2-Grouping.jpg [View same] [iqdb] [saucenao] [google]
1115482

Tensors don't show up until page 15
Calculating components of a tensor is at the end

>> No.1115475 [View]
File: 117 KB, 694x854, 01-Numbers-1-Intro.jpg [View same] [iqdb] [saucenao] [google]
1115475

I wrote a tutorial on how to use diagrams to do computations with tensors.

I posted the beginning a few days ago - now I have more. I probably won't be posting any more updates here since it would be too long.

>> No.1105108 [View]

If I make more, I'll probably post the whole thing again in a few days to a week.

>> No.1104991 [View]
File: 99 KB, 675x836, 14-Zero Vector.jpg [View same] [iqdb] [saucenao] [google]
1104991

And this is the last one. Next I'll be working on basis vectors & then tensor products.

>>1104960
I've seen tensors in this notation. They work very nicely. Much better than juggling indices.
This has some nice pictures of tensors: http://en.wikipedia.org/wiki/Penrose_graphical_notation

>> No.1104964 [View]
File: 118 KB, 730x972, 13-Zero Covector.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1104953 [View]
File: 42 KB, 634x405, 12-Not Covectors-2.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1104943 [View]
File: 177 KB, 720x1023, 11-Not Covectors-1.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1104933 [View]
File: 71 KB, 692x601, 10-Covector Example-1.jpg [View same] [iqdb] [saucenao] [google]
1104933

The last picture was an example of a vector. This is an example of a covector that could multiply that vector.

>> No.1104923 [View]
File: 79 KB, 748x708, 09-Vector Example-1.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1104910 [View]
File: 63 KB, 691x557, 08-Covectors-2.jpg [View same] [iqdb] [saucenao] [google]
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>> No.1104903 [View]
File: 167 KB, 744x993, 07-Covectors-1.jpg [View same] [iqdb] [saucenao] [google]
1104903

I don't have any good examples of full tensors yet though.. Those will come in the future pages.

>> No.1104890 [View]
File: 69 KB, 756x445, 06-Functions-2.jpg [View same] [iqdb] [saucenao] [google]
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>>1104877
Sure, but this makes it easier to read a lot of things.
Rather than juggling indices, you move lines.

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