User:Freuga

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I, Freuga, have created this page (which is at this time unfinished) as a more or less biography of myself. I figure that this information will only be viewed by those who know me or who I deem worthy to view it. I also figure it would not be any different than if I got a Myspace, Facebook, or finished the Freewebs I started back in 2005, so I freely release my random (and probably boring) details of my life to the public. Though I will be sneaky enough to not put my last name anywhere! HA!

[edit] Name

The real name of the user: Freuga is Bryce -Something-, but the name freuga was created out of almost nowhere with no meaning. Nothing too special, but it is cool isn't it? In a way... (Opinionated statement, but this is a USER page!) The name Bryce was given by his parents for who knows what reason, and has an at this time unknown meaning.

[edit] Birth

Bryce was born on January 31, 1994 in Provo, Utah. At the age of three, Bryce moved to Galt, California, and at the age of nine moved again to Lake Zurich Illinois. Finally at the age of twelve, his family moved to Richmond, Indiana, at a disclosed address.

[edit] Interests

[edit] Math

Bryce has always loved and been moderately good at math. He studies well beyond the level of those his age (this is only chance I get to brag, I will list my shortcomings later to protect my modesty), and studies the following subjects:

Calculus
Complex analysis
Differential Equations
The Riemann Zeta Function
Other Milleniium Prize problems
Math academic teams, mainly Richmond High School's
And other random things.

[edit] Science

Since he was young, Bryce has been fascinated by sciences such as generation of electricity and astronomy, which allowed him to do such things as skip past the second grade, one of the things he is most known for and that comes up whenever schoolmates asks for his age. As of 2008, he has enjoyed such subjects as (but not limited to):

Stress analysis
Thermodynamics
Escape velocity (which he finds using differential equations)
Particle Accelerators
The production of antimatter
Lasers (specifically CO₂)
Methods of generating electricity
Electrolysis of water for the production of hydrogen
"And a TON more" (Assuming "ton" is a quantity not necessarily related to weight or mass)

[edit] Hobies

Bryce has always enjoyed the strangest combinations of things. When he was seven and eight years old, he played on two seperate soccer teams in Galt, California, the "Tornadoes" and "Silver Bullers." Now he still enjoys soccer but has not been on a team since those times. He enjoys playing [ping-pong] and owns a table which he used every time his friends come over to his house. He owns a keyboard which he often plays, and plays piano for the Priesthood group at church every Sunday. When he is not doing math/research, homework, or the above hobbies, he is probably playing computer, sleeping in front of a TV, or actually watching it. In the latter situation he is usually either watching the Discovery, History, or National Geographic channels, though he does enjoy movies and shows such as The Fresh Price of Bel-Air.

[edit] Family

[edit] Parents

Bryce's parents, Erik and Rebekah, are as-of-2008 still married in the same household and are 39 and 38 years old respectively.

[edit] Erik

Erik's full time occupation is Engineering Manager for Hill's Pet Nutrition in Richmond, Indiana, the families residence since June of 2006. Erik is known for being quick and talented in mathematics and problem solving, which has allowed him to become a very good and wanted engineer after his almost two decades of experience in the field. He was born in New York state, but lived from the time he was one year old until he was eight in Brazil, his father's home country. He went to college at Brigham Young University in Provo, Utah, where he recieved his Bachelors degree in mechanical engineering. He has six siblings, all of which were married and some divorced.

[edit] Rebekah

Rebekah has been a stay-at-home mother since Bryce was born, but was a teacher in several areas and a writer. She finished writing her first book in late February, 2008. She has seven siblings, all of which are married.

[edit] Siblings

Bryce has three siblings, Jason Eric (6, as of March 2008), Rachel Rebekah (9), and Mykell Louise (15).

[edit] Jason

Jason was born on May 5, 2001, in Galt, California. Jason has been known in the family to be "crazy" in the sense of being overly hyper or roudy at times. He has an obvious passion for art, often drawing elephants of Pokemon in his free time. He enjoys going crazy in the gym after church on Sundays and playing with children much older than himself, such as Bryce's friends.

[edit] Rachel

Rachel was born on August 2, 1998, in Galt, California. She is also known for being "crazy" and trying to play with children much older than herself. She likes to play internet games and invite friends over, and enjoys typical girl things such as Barbies and Pollie dolls. She is very social, and loves to be the center of attention with her younger brother Jason. When people come to the door at the families home, Rachel and Jason quickly start running around and climbing on everything to amuse the guest, much to the families displeasure.

[edit] Mykell

Mykell was born on June 8, 1992, in Provo Utah. She is the eldest of the Children, and the eldest of all her cousins. She is known for her writing and drawing ability, and is often seen as the opposite of Bryce. She tries especially hard in school and always receives good grades from her effort, but does not like the subject of math and not much science, either. This differs from Bryce who sometimes tries hard in school (but still maintains a 4.0 GPA), loves math and science with a passion, hates english, and is a "terrible" artist. She and Bryce grew up together, and though they still got in many arguments and fights throughout their lives together, were good friends.

[edit] Accomplishments

[edit] Early Life

In his early life, having been raised into a good, educated, and caring family, Bryce was allowed many opportunities to learn and do things most other kids didn't. As said above, he studied sciences and was quite fascinated by many things in the universe, and from studying those and showing a clear interest as a young boy was allowed to skip past the second grade. Before then, in first grade, his math abilities started to become known. He finished his work quickly and did it correctly, so was often allowed to assist his teacher in grading the other students' papers. He would "astound" (but more likely "bore") his parents with designs for machines and buildings he would sketch out on paper.

One day, his father was invited to a party for work in which he was allowed to bring his family, and read a journal entry the at-the-time first grader Bryce made in school about a secret lab involving solar panels and other equipment, which much embarrassed Bryce, but seemed to say his father was proud of him.

[edit] Middle School

In middle school, Bryce seemed to have more of lack-of-accomplishments than actual accomplishments. At this point, he was mainly interested in making life fun and not doing work. He got all sorts of Cs and Bs, and one D on his report cards, and for about two months, all of his computer games were taken away by his parents until he could bring up his grades

[edit] High School

Though as of 2008 Bryce is only a Freshman, he believes he has accomplished the most per unit time in that year than any other in his life. He has become more interested in pursuing further education and extending knowledge, mostly for fun, but with a hope that it will increase the chance of future success. The "interests" described earlier are all true and not at all exaggerated. Bryce does do calculus, differential equations, and studies many science fields for fun. The reason he finds these areas "fun" is that "so many interesting things and secrets of the universe can be done and revealed through them, and that knowledge is 'fun' to gain." Several things he has accomplished in all three of these time periods are explained below.

[edit] Proof of the Volume of a Sphere

Bryce independently (though was definitely not the first to do so) proved the formula for the volume of a sphere using a triple integral in spherical coordinates in January, 2008, at the age of thirteen. The proof is as follows.

$V = \int\int\int \rho^2 \sin{\phi}\,\mathrm{d}V$

$= \int\int\int_{0}^{r} \rho^2 \sin{\phi}\,\mathrm{d}\rho\,\mathrm{d}\phi\,\mathrm{d}\theta$

$= \int\int_{0}^{\pi} \frac{r^3}{3} \sin{\phi}\,\mathrm{d}\phi\,\mathrm{d}\theta$

$= \int_{0}^{2\pi} \frac{2r^3}{3}\,\mathrm{d}\theta$

$= \frac{4}{3}\pi r^3$

Which should be the formula we're all familiar with from our textbooks and standardized test reference sheets. Bryce also proved the formulas for the volume of a cylinder and cone in a similar manner, only in cylindrical coordinates.

[edit] Escape Velocity of the Moon

Bryce also, one day, decided to test out some skills he learned with differential equations by finding the escape velocity of the moon. He did this as follows, with help from an example of finding the escape velocity of Earth.

$g = \frac{d^2x}{dt^2} = v\frac{dv}{dx} = \frac{-k}{x^2}$

With "g" being the acceleration of gravity, "x" the distance from the center of the moon, "t" being time, and "k" being a constant. This equation is seperable, and gives

$v\,\mathrm{d}v = \frac{-k}{x^2}\,\mathrm{d}x$ .

Integrating both sides gives

$\frac{1}{2} v^2 = \frac{k}{x} + C$ ,

and substituting the initial condition that v = v₀ when x = x₀, we find that

$C = \frac{1}{2} {v_0}^2 - \frac{k}{x_0}$

so that

$v^2 = \frac{2k}{x} + {v_0}^2 - \frac{2k}{x_0}$ .

And now assuming that as x approaches infinity, v will be greater than zero, we get

${v_0}^2 < \frac{2k}{x_0}$ ,

and

$v_0 < \sqrt{\frac{2k}{x_0}}$ .

To evaluate "k," we go back to the beginning and look up on Wikipedia that the acceleration of gravity at the surface of the moon (1737 km) is 1.622 m/s². It is possible to find this out in other ways than looking it up, but that would've taken longer! Anyway, we get

$1.622 m/s = \frac{k}{1737^2\, km}$ ,

$k = \frac{1.622(1737)^2}{1000}\, km/s$ ,

$k \approx{4893.848}\, km/s$

And so, going back to before we evaluated k, and knowning that v₀ = v_e, the escape velocity, we get

$v_e \approx{ \sqrt{\frac{2(4893.848)}{1737}}}\, km/s$ ,

And, finally,

$v_e \approx{ 2.374}\, km/s$ .

Bryce then looked this up on Wikipedia (meaning he scrolled down about two inches on the screen), where he found this to be correct.

[edit] Shortcomings

[edit] Nerdiness

Bryce is, and will never deny, that he is a huge nerd. He says it all the time, even more than anyone else does. He says that he likes being a nerd, and will never change, but some people don't like it as much. Some think he's arrogant, some think he's stupid (odd, but yes, and he admits to being stupid a lot in some areas), and some just hate nerds. Being a nerd, about the only physical activity (besides running, in which he can run one mile in 7:17 minutes as of January 2008) that he can really do at a level equal to or exceeding most other students is ping pong.

He wishes he were as good as the "true" geniuses out there, who can master multiple languages, correct their parent's math, and do calculus all at the age of five. He's tried to learn languages and gets good grades in foreign language class, but has not even mastered english yet. (This insulting language can be written about him here because he is writing this article.)

[edit] Use of Wikipedia

Editing and trying to save the page on Logos Lab School
Writing mathematical equations for the fun of it
Commenting and correcting things
AND STUFF!

[edit] Don't forget

Don't forget that...

$\zeta(s) = \sum_{n=1}^{\infty}\frac{1}{n^s}$

$\Gamma(z) = \int_{0}^{\infty} t^{z-1} e^{-t}\,\mathrm{d}t.$