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 August 16th, 2011, 10:04 PM #1 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Mathematical Constants Referring to the Wikipedia Link for Mathematical Constants http://en.wikipedia.org/wiki/Mathematical_constant Can we also Add Acceleration due to Gravity g=9.80665 m/s2 as a Mathematical Constant in the Table of selected mathematical constants ? http://en.wikipedia.org/wiki/Standard_gravity Another example is Gravitational constant http://en.wikipedia.org/wiki/Gravitational_constant This are the constants used in Physics, so can they be also considered mathematical constants or it will be classified only as physical constants ? Thanks & Regards, Prashant S Akerkar
 August 17th, 2011, 12:28 AM #2 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Mathematical Constants Comparison between Mathematical and Physical Constants --------------------------------------------------------------------- http://en.wikipedia.org/wiki/Physical_constant Though both are constants, A physical constant is a physical quantity that is generally believed to be both universal in nature and constant in time. It can be contrasted with a mathematical constant, which is a fixed numerical value but does not directly involve any physical measurement. Mathematical Constants used in Physics ----------------------------------------------- http://www.desy.de/user/projects/Physic ... GR/pi.html For the types of non-Euclidean geometry used in physics, the ratio is very nearly ? over small distances so we do not notice the difference in ordinary measurements. This does not mean that ? changes, because our definition of ? specified a Euclidean geometry, not physical geometry. No new theory or experiment in physics can change the value of mathematically defined constants. Thanks & Regards, Prashant S Akerkar
August 17th, 2011, 02:37 AM   #3
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Re: Mathematical Constants

Quote:
 Originally Posted by Prashant S Akerkar Can we also Add Acceleration due to Gravity g=9.80665 m/s2 as a Mathematical Constant in the Table of selected mathematical constants ?
The g you suggest is true on earth but on the moon, it is about $\frac{1.67m}{s^2}$. Mathematical constants are constants everywhere, so on the moon as well.

 August 17th, 2011, 04:08 AM #4 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Mathematical Constants Is there a thin line between the two comparisons i.e Mathematical and Physical Constants ? Note : Physical Constants value remain the same, they measure a physical quantity, so then does it implies that they can be also considered as mathematical constants but used in Applications of Physics viz Newton's Laws of Motion, Newton's Law of Gravity etc. Thanks & Regards, Prashant S Akerkar
 August 17th, 2011, 07:34 PM #5 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Mathematical Constants Can we say "Those Physical constants whose value do not change with the environment can be considered as Mathematical constants". ? Thanks & Regards, Prashant S Akerkar
August 18th, 2011, 05:27 AM   #6
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Re: Mathematical Constants

Quote:
 Originally Posted by prashantakerkar Can we say "Those Physical constants whose value do not change with the environment can be considered as Mathematical constants". ? Thanks & Regards, Prashant S Akerkar
Perhaps. But the mass and shape of the Earth are both constantly changing, so that rules out anything local to the Earth. The acceleration due to gravity on Earth is not really a constant at all - not only does it vary relatively widely across the Earth's surface, it will also fluctuate minutely at any one fixed point on the surface as well.

 August 18th, 2011, 10:13 PM #7 Banned Camp   Joined: Aug 2011 Posts: 534 Thanks: 2 Re: Mathematical Constants Thank you.

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