User:HelloIAmLucas

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A General Overview of HelloIAmLucas

en

This user is a native speaker of the English language.

This user lives in Japan.
この利用者は日本に住んでいます。

law-3

This user (hereafter "User"), and all subsidiaries, agents, et al. acting on his/her/their/its behalf, herein manifest possession of, and are henceforth estopped from disclaiming, an advanced knowledge of Legalese, or access to such knowledge as to suffice as a reasonable substitute.

This user is interested in
the history of law.

F = m a

This user understands Physics at a basic level.

This user is interested in psychology.

This user has been on Wikipedia for 1 year, 7 months and 18 days.

This user believes that philosophy is dead.

This user rejects Freudian psychoanalysis in favor of modern empirical psychology, although he respects his views on religion.

This user knows that freedom of religion
also requires freedom from religion.

This user's edits are powered by
caffeine.

Some Achievements of HelloIAmLucas

This editor is a Novice Editor and is entitled to display this Service Badge.

This editor is a Signator and is entitled to display this Scroll of Signatures.

This editor is a Registered Editor and is entitled to display this Service Badge.

This user has been an autoconfirmed user since 30 May 2025 (1 year, 5 months and 5 days). (verify)

Greetings!

Good day, fellow Wikipedian! I wonder what has brought you to my user page... either way, by means of introduction:

My name is Lucas, hailing from the state of New Jersey in the USA. I absolutely love the intricacies of the sciences; the formal proofs within math; astounding English literature, including the oeuvre of James Joyce, Edgar Allan Poe, and Johann Wolfgang von Goethe; and the enthralling subjects in Western European history!

Something that resonates with me

My Quote of the Month: Nov. 2026

“We have seen the white men betray the flag and fight to kill the Union; but in all that long, dreary war we never saw a traitor in a black skin.” – James A. Garfield
View past selections!
Note: In accordance with established practice, this section is subject to monthly revision; a new quote shall be listed at the beginning of each calendar month, provided that such supersession is finalized no later than the third day thereof.

Works in Progress

My Derivation of the Gamma Function

$\int_{0}^{1} x^{p} {(1 - x^{1 / n})}^{m} d x$

By applying the integration by parts formula $u v - \int v d u$ :

Let $u = (1 - x^{1 / n})^{m} d v = x^{p}$

By the chain rule