Difference between revisions of "Conversion Factors" - Rhea

Revision as of 14:41, 23 November 2010

Conversion Factors
Length
$\begin{array}{lcl} 1 \mbox{ kilometer (km) } & = & 1000 \mbox{ meter (m) } \\ 1 \mbox{ meter (m) } & = & 109 \mbox{ centimeter (cm) } \\ 1 \mbox{ centimeter (cm) } & = & 10^{-2} \mbox{ m } \\ 1 \mbox{ millimeter (mm) } & = & 10^{-3} \mbox{ m } \\ 1 \mbox{ millimicron} ( m \mu ) & = & 10^{-9} \mbox{ m } \\ 1 \mbox{ angstrom (A) } & = & 10^{-10} \mbox{ m } \\ \end{array}$
Surface
Binomial random variable with parameters n and p	$\,E[X] = np,\ \ Var(X) = np(1-p)\,$
Poisson random variable with parameter $\lambda$	$\,E[X] = \lambda,\ \ Var(X) = \lambda\,$
Exponential random variable with parameter $\lambda$	$\,E[X] = \frac{1}{\lambda},\ \ Var(X) = \frac{1}{\lambda^2}\,$

@@ Line 5: / Line 5: @@
 ! style="background: rgb(238, 238, 238) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" colspan="2" |  Length
 |-
-| align="right" style="padding-right: 1em;" | The complement of an event A (i.e. the event A not occurring)
+|<math>
-| <math>\,P(A^c) = 1 - P(A)\,</math>
+\begin{array}{lcl}
-|-
+\mbox{ kilometer (km) } & = & 1000 \mbox{ meter (m) } \\
-| align="right" style="padding-right: 1em;" | The intersection of two independent events A and B
+\mbox{ meter (m) } & = & 109 \mbox{ centimeter (cm) } \\
-| <math>\,P(A \mbox{ and }B) =  P(A \cap B) = P(A) P(B)\,</math>
+\mbox{ centimeter (cm) } & = & 10^{-2} \mbox{ m } \\
+\mbox{ millimeter (mm) } & = & 10^{-3} \mbox{ m } \\
+\mbox{ millimicron} ( m \mu )  & = & 10^{-9} \mbox{ m } \\
+\mbox{ angstrom (A) } & = & 10^{-10} \mbox{ m } \\
+\end{array}
+</math>
 |-
 ! style="background: rgb(238, 238, 238) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" colspan="2" |  Surface