http://wiki.newmars.com/index.php?action=history&feed=atom&title=Linear 2026-05-19T00:36:14Z Revision history for this page on the wiki MediaWiki 1.29.1 http://wiki.newmars.com/index.php?title=Linear&diff=271&oldid=prev 2009-01-21T11:02:30Z

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Josh Cryer http://wiki.newmars.com/index.php?title=Linear&diff=270&oldid=prev 2005-08-01T00:03:54Z

<p></p> <p><b>New page</b></p><div>In two dimensions a linear relationship is a relationship that can be represented graphically by a line. For instance in the relationships for momentum P=mV<br /> the momentum (P) is linearly related to the velocity V by the constant of propensity m (the mass). <br /> <br /> A relationship that can be graphically expressed as a line in two dimensions that doesn&#039;t pass though the orgin is known as an affine relationship. An affine relationship in n dimensions can always be expressed as a linear relationship in n+1 dimensions with one of the inputs constant. <br /> <br /> For instance P=m*V1+m*V2 is affine in an affine relationship for (m*v2 not equal to zero) between the dependent variable P and the independent variable V1 in two dimensions and in three dimensions is the dependent variable P can be thought to be linearly related to the two independent variables V1 and V2. <br /> <br /> More technically a linear relationship is a relation that is both associative and distributive.</div>

John Creighton