View source for User:Tomhubbard

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==About Me==
I live in Richmond, Virginia in the United States of America and I like nuclear engineering, mathematics, computers, and guns.

{{ahnentafel
|boxstyle_1=background-color: #fcc;
|boxstyle_2=background-color: #fb9;
|boxstyle_3=background-color: #ffc;
|boxstyle_4=background-color: #bfc;
|boxstyle_5=background-color: #9fe;
|1= 1. Thomas Richard Hubbard (1965-)
|2= 2. William James Hubbard (1941-2020)
|3= 3. Barbara Jean Ockun (1943-)
|4= 4. Willard Wright Hubbard III (1915-1987)
|5= 5. Sara Eloise Rast (1917-1993)
|8= 8. Willard Wright Hubbard, Jr. (1886-1969)
|9= 9. Helen Motley (1887-1969)
|16= 16. Willard Wright Hubbard (1854-1923) 
|17= 17. Josephine Spencer Niles (1858-1952)
|32= 32. Erastus Willard Hubbard (1819-1902)
|33= 33. Arabella Wright (1827-1914)
|64= 64. Brigham Hubbard (1788-1838)
}}

{{familytree/start}}
{{familytree | | | | GRM |~|y|~| GRP | | GRM=Grandma|GRP=Willard Wright Hubbard III (1915-1987)}}
{{familytree | | | | | | | |)|-|-|-|.| }}
{{familytree | | | MUM |y| DAD | |JOHN| MUM=Mom|DAD=Dad|JOHN=[[Uncle John]]}}
{{familytree | |,|-|-|-|+|-|-|-|.| | | }}
{{familytree | BILL | | ME | | JIM | | GREG | | | BILL=My brother Bill|ME='''Me!'''|JIM=My brother Jim|GREG=My brother Greg}}
{{familytree/end}}

*http://en.wikipedia.org/wiki/Omicron_Delta_Kappa
*http://en.wikipedia.org/wiki/United_States_Naval_Academy
*http://en.wikipedia.org/wiki/University_of_Virginia
*http://en.wikipedia.org/wiki/Yodle,_Inc
*http://en.wikipedia.org/wiki/ReachLocal

I am a former Senior Manager of Software Development at Amazon, where I managed the development of the amazon.com content selection and delivery software (i.e. Amabot).  I also invented, designed, and developed the engineering of Amazon.com's behaviorial-targeted third-party display advertising product.

{{Amazon}}

==Favorite Math Equation==
:<math>\left(\frac{1}{v(E)}\frac{\partial}{\partial t}+\mathbf{\hat{\Omega}}\cdot\nabla+\Sigma_t(\mathbf{r},E,t)\right)
\psi(\mathbf{r},E,\mathbf{\hat{\Omega}},t)=\quad</math>

<math>\quad\frac{\chi_p \left( E \right)}{4\pi}\int_0^{\infty} dE^{\prime}\nu_p \left( E^{\prime} \right) \Sigma_f \left(\mathbf{r}, E^{\prime}, t \right) \phi \left( \mathbf{r}, E^{\prime}, t \right) + \sum_{i=1}^N \frac{\chi_{di}\left( E \right)}{4\pi} \lambda_i C_i \left( \mathbf{r}, t \right)+\quad</math>

:<math>\quad\int_{4\pi}d\Omega^\prime\int^{\infty}_{0}dE^\prime\,\Sigma_s(\mathbf{r},E^\prime\rightarrow E,\mathbf{\hat{\Omega}}^\prime\rightarrow \mathbf{\hat{\Omega}},t)\psi(\mathbf{r},E^\prime,\mathbf{\hat{\Omega}^\prime},t)+s(\mathbf{r},E,\mathbf{\hat{\Omega}},t)</math>

Where:
{| class="wikitable" border="1"
|-
! Symbol
! Meaning
! Comments
|-
| <math>\mathbf{r}</math>
| Position vector (i.e. x,y,z)
|
|-
|<math>E</math>
|Energy
|
|-
|<math>\mathbf{\hat{\Omega}}=\frac{\mathbf{v}(E)}{|\mathbf{v}(E)|}=\frac{\mathbf{v}(E)}{{v(E)}}</math>
|Unit vector ([[solid angle]]) in direction of motion
|
|-
|<math>t</math>
|Time
|
|-
|<math> \mathbf{v}(E) </math>
|Neutron velocity vector
|
|-
|<math>\psi(\mathbf{r},E,\mathbf{\hat{\Omega}},t)dr\,dE\,d\Omega</math>
|Angular neutron flux <br /> Amount of neutron track length in a differential volume <math>dr</math> about <math>r</math>, associated with particles of a differential energy in <math>dE</math> about <math>E</math>, moving in a differential solid angle in <math>d\Omega</math> about <math>\mathbf{\hat{\Omega}}</math>, at time <math>t</math>.
|Note integrating over all angles yields [[Neutron flux|scalar neutron flux]]<br /> <math>\phi \ = \ \int_{4\pi}d\Omega\psi</math>
|-
|<math>\phi(\mathbf{r},E,t)dr\,dE</math>
|[[Neutron flux|Scalar neutron flux]] <br /> Amount of neutron track length in a differential volume <math>dr</math> about <math>r</math>, associated with particles of a differential energy in <math>dE</math> about <math>E</math>, at time <math>t</math>.
|
|-
|<math>\nu_p</math>
|Average number of neutrons produced per fission (e.g., 2.43 for U-235).<ref>{{cite web|title=ENDF Libraries|url=https://www-nds.iaea.org/exfor/endf.htm}}</ref>
|
|-
|<math>\chi_p(E)</math>
|Probability density function for neutrons of exit energy <math>E</math> from all neutrons produced by fission
|
|-
|<math>\chi_{di}(E)</math>
|Probability density function for neutrons of exit energy <math>E</math> from all neutrons produced by delayed neutron precursors
|
|-
|<math>\Sigma_t(\mathbf{r},E,t)</math>
|Macroscopic total [[Nuclear cross section|cross section]], which includes all possible interactions
|
|-
|<math>\Sigma_f(\mathbf{r},E^{\prime},t)</math>
|Macroscopic fission [[Nuclear cross section|cross section]], which includes all fission interactions in <math>dE^{\prime}</math> about <math>E^{\prime}</math>
|
|-
|<math>\Sigma_s(\mathbf{r},E'\rightarrow E,\mathbf{\hat{\Omega}}'\rightarrow \mathbf{\hat{\Omega}},t)dE^\prime d\Omega^\prime</math>
|Double differential scattering cross section<br />Characterizes scattering of a neutron from an incident energy <math>E^\prime</math> in <math>dE^\prime</math> and direction <math>\mathbf{\hat{\Omega^\prime}}</math> in <math>d\Omega^\prime</math> to a final energy <math>E</math>  and direction <math>\mathbf{\hat{\Omega}}</math>.
|
|-
|<math>N</math>
|Number of delayed neutron precursors
|
|-
|<math>\lambda_i</math>
|Decay constant for precursor i
|
|-
|<math>C_i \left( \mathbf{r}, t \right)</math>
|Total number of precursor i in <math>\mathbf{r}</math> at time <math>t</math>
|
|-
|<math>s(\mathbf{r},E,\mathbf{\hat{\Omega}},t)</math>
|Source term
|
|-
|}


==Travels==
===International===
{| style="border:1px; border: thin solid grey; background-color:wheat" 
|align="right"|Spent months to years:
|align="left"|[[Image:Flag of the United States.svg|64px|United States]] [[Image:Flag of France.svg|64px|France]]
|-
|align="right"|Days to weeks:
|align="left"|[[Image:Flag of Canada.svg|64px|Canada]]  [[Image:Flag of the United Kingdom.svg|64px|United Kingdom]] [[Image:Flag of Tunisia.svg|64px|Tunisia]] [[Image:Flag of Poland.svg|64px|Poland]] [[Image:Flag of Italy.svg|64px|Italy]] [[Image:Flag of Israel.svg|64px|Israel]] [[Image:Flag of Germany.svg|64px|Germany]] [[Image:Flag of Greece.svg|64px|Greece]] [[File:Flag of the_Philippines.svg|64px|Republic of the Philippines]] [[Image:Flag of Spain.svg|64px|Spain]] [[Image:Flag of Switzerland.svg|64px|Switzerland]] [[Image:Flag_of_South_Korea.svg|64px|South Korea]] [[Image:Flag of Mexico.svg|64px|Mexico]]
|-
|align="right"|Just been through:
|align="left"|[[Image:Flag of Kenya.svg|64px|Kenya]] [[Image:Flag of Japan.svg|64px|Japan]] 
|}

===U.S. States/Canadian Provinces ===
{| style="border:1px; border: thin solid grey; background-color:wheat" 
|align="right"|Spent >4 years:
|align="left"|[[Image:Flag of New York.svg|64px|New York]] [[Image:Flag of Virginia.svg|64px|Virginia]] [[Image:Flag of California.svg|64px|California]]
|-
|-
|align="right"|1-4 years:
|align="left"| [[Image:Flag of Maryland.svg|64px|Maryland]] [[Image:Flag of Washington.svg|64px|Washington]] [[Image:Flag of Washington,_D.C..svg|64px|District of Columbia]]
|-
|-
|align="right"|Months:
|align="left"| [[Image:Flag of Florida.svg|64px|Florida]] [[Image:Flag of Rhode Island.svg|64px|Rhode Island]] [[Image:Flag of Idaho.svg|64px|Idaho]] [[Image:Flag of Alabama.svg|64px|Alabama]] 
|-
|-
|align="right"|Days:
|align="left"|  [[Image:Flag of Michigan.svg|64px|Michigan]] [[Image:Flag of Louisiana.svg|64px|Louisiana]] [[Image:Flag of Missouri.svg|64px|Missouri]] [[Image:Flag of Ohio.svg|64px|Ohio]] [[Image:Flag of Colorado.svg|64px|Colorado]] [[Image:Flag of New Mexico.svg|64px|New Mexico]] [[Image:Flag of Nevada.svg|64px|Nevada]] [[Image:Flag of Montana.svg|64px|Montana]] [[Image:Flag of Pennsylvania.svg|64px|Pennsylvania]] [[Image:Flag of Alaska.svg|64px|Alaska]] [[Image:Flag of Hawaii.svg|64px|Hawaii]] [[Image:Flag of Tennessee.svg|64px|Tennessee]] [[Image:Flag of Texas.svg|64px|Texas]] [[Image:Flag of North Carolina.svg|64px|North Carolina]] [[Image:Flag of South Carolina.svg|64px|South Carolina]] [[Image:Flag of Georgia_(U.S._state).svg|64px|Georgia]] [[Image:Flag of North Dakota.svg|64px|North Dakota]] [[Image:Flag of Illinois.svg|64px|Illinois]] [[Image:Flag of New Jersey.svg|64px|New Jersey]] [[Image:Flag of British Columbia.svg|64px|British Columbia]]
|-
|-
|align="right"|Just been through:
|align="left"|[[Image:Flag of Delaware.svg|64px|Delaware]] [[Image:Flag of Indiana.svg|64px|Indiana]] [[Image:Flag of New Hampshire.svg|64px|New Hampshire]] [[Image:Flag of West Virginia.svg|64px|West Virginia]] [[Image:Flag of Kentucky.svg|64px|Kentucky]] [[Image:Flag of Vermont.svg|64px|Vermont]] [[Image:Flag of Kansas.svg|64px|Kansas]] [[Image:Flag of Connecticut.svg|64px|Connecticut]] [[Image:Flag of Ontario.svg|64px|Ontario]] [[Image:Flag of Massachusetts.svg|64px|Massachusetts]]
|}