Timeline for Examples of common false beliefs in mathematics
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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| Dec 12, 2013 at 23:17 | history | edited | LSpice | CC BY-SA 3.0 |
z(x, z) -> z(x, y)
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| Dec 12, 2013 at 23:17 | comment | added | LSpice | @TobyBartels, I remember an analyst colleague talking about a problem in a paper of his that he resolved by noticing (if I remember the particular example correctly) that $\partial/\partial r$ means something different in cylindrical and spherical co\"ordinates. | |
| Apr 10, 2011 at 20:22 | history | edited | user11235 | CC BY-SA 3.0 |
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| Apr 10, 2011 at 20:04 | history | edited | user11235 | CC BY-SA 3.0 |
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| Apr 10, 2011 at 19:15 | history | edited | user11235 | CC BY-SA 3.0 |
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| Apr 10, 2011 at 18:27 | comment | added | darij grinberg | Can you help us understand it? Or is there no better way than computation? | |
| Apr 10, 2011 at 11:05 | comment | added | user11235 | But this notation does not help one to understand that the above expression is actually $-1$. | |
| Apr 7, 2011 at 12:56 | comment | added | Toby Bartels | This is an example of the principle that naïve reasoning with Leibniz notation works fine for total derivatives but not for partial derivatives. This is one reason why I would always write the left-hand side as $\frac{\partial{y}}{\partial{x}} \cdot \frac{\partial{z}}{\partial{y}} \cdot \frac{\partial{x}}{\partial{z}}$ if not $\left(\frac{\partial{y}}{\partial{x}}\right)_z \cdot \left(\frac{\partial{z}}{\partial{y}}\right)_x \cdot \left(\frac{\partial{x}}{\partial{z}}\right)_y$ (notation that I learnt from statistical physics, where the independent variables are otherwise not clear). | |
| Apr 7, 2011 at 12:45 | history | answered | user11235 | CC BY-SA 2.5 |