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 October 21st, 2017, 12:24 PM #1 Newbie   Joined: Oct 2017 From: Toronto Posts: 6 Thanks: 0 E=mc2 Is E=mc2 considered a "cubic" equation? What is the term to describe "multi-ordered" equations? Meaning...more than two degrees in order? Polynomials?
 October 21st, 2017, 03:43 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,403 Thanks: 2477 Math Focus: Mainly analysis and algebra No, it's linear in mass and energy. The speed of light is usually considered to be constant. An expression of the form $(a_nx^n + a_{n-1}x^{n-1} + \ldots + a_2x^2 + a_1x + a_0)$ is a polynomial (in a single variable). A more general expression with a finite number of terms of the form $a x_1^{p_1} x_2^{p_2} \ldots x_n^{p_n}$ is a polynomial in $n$ variables. Thanks from nietzscheswoman
 October 21st, 2017, 04:02 PM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,133 Thanks: 914
October 22nd, 2017, 05:24 PM   #4
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Quote:
 Originally Posted by v8archie No, it's linear in mass and energy. The speed of light is usually considered to be constant. An expression of the form $(a_nx^n + a_{n-1}x^{n-1} + \ldots + a_2x^2 + a_1x + a_0)$ is a polynomial (in a single variable). A more general expression with a finite number of terms of the form $a x_1^{p_1} x_2^{p_2} \ldots x_n^{p_n}$ is a polynomial in $n$ variables.
Thank you. Do you know where I can read up on the 'c2' ? It's peculiar.

 October 23rd, 2017, 09:06 AM #5 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 What you are writing as "c2" would better be written as "c^2" or, even better, "$\displaystyle c^2$". It is "c times c" or "c squared" and c is the speed of light. Thanks from nietzscheswoman Last edited by skipjack; October 23rd, 2017 at 03:13 PM.
October 23rd, 2017, 11:07 AM   #6
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Quote:
 Originally Posted by nietzscheswoman Thank you. Do you know where I can read up on the 'c2' ? It's peculiar.
Try here they have good sound simple explanations.

Relativistic Energy

It also explains that the famous formula so often quoted is incomplete as

$\displaystyle E = m{c^2}$

October 24th, 2017, 01:48 AM   #7
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Quote:
 Originally Posted by nietzscheswoman Is E=mc2 considered a "cubic" equation? What is the term to describe "multi-ordered" equations? Meaning...more than two degrees in order? Polynomials?
For the record, the full equation for the energy, mass and momentum of a particle is

$\displaystyle E^2 = m^2c^4 + p^2 c^2$

where E is kinetic energy (J), m is mass (kg), c is 299792458 m/s and p is momentum (kg m/s). The case when $\displaystyle p = 0$ gives Einstein's famous equation.

 Tags emc2, multidimensional

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