Timeline for Consequences of lack of rigour
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 28, 2019 at 20:15 | comment | added | Wrzlprmft | @PyRulez: Sure, but you get similar problems, just replace the small spacial scales with the dynamic scales of external noise, instationarities, etc. E.g., if you make a mistake in application by not taking into account the possibility of chaos, you will also have a problem with periodic dynamics with a long and complex period (in fact, periodic orbits are dense in chaotic systems). | |
| Feb 28, 2019 at 19:47 | comment | added | Christopher King | @Wrzlprmft well, the issue is not just physical objects, but also processes. Certain processes can only be described by fractal geometry I'm pretty sure. | |
| Feb 28, 2019 at 17:37 | comment | added | LSpice | "try finding a natural coast line that is differentiable": for the reason @Wrzlprmft (and @GerryMyerson) mentions, I am not even sure what it means to describe a real-world structure as differentiable; but, even if it were, one should not suggest the dichotomy differentiable vs. fractal. | |
| Feb 28, 2019 at 17:32 | comment | added | Wrzlprmft | There are no true fractals or similar in reality, at least when you reach the atomic scale (and usually much earlier). If fractals (or everywhere undifferentiable curves) can make your engineering fail, then there will also be a smooth curve (that is nearly fractal) with the same effect. For example, it will be not taking into account fine structures that makes your engineering fail, not making invalid assumptions about curves. | |
| Feb 28, 2019 at 11:19 | history | edited | Christopher King | CC BY-SA 4.0 |
added 33 characters in body
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| Feb 28, 2019 at 10:11 | comment | added | Geoff Robinson | Tacoma Narrows Bridge and London's Millenium Bridge are examples where failure to take proper account of existing Mathematical theory led to structural failures. | |
| S Feb 28, 2019 at 9:12 | history | answered | Christopher King | CC BY-SA 4.0 | |
| S Feb 28, 2019 at 9:12 | history | made wiki | Post Made Community Wiki by Christopher King |