This is a moderated community.
The goal is to encourage people to approach mathematics in a fashion that makes it accessible. In order to do this, we're going to need a few basic rules.
- Try to be on topic.
- Be civil.
- No drama.
Pretty simple, huh? Yeah... I reduced them to the lowest common denominator. If you have any questions, feel free to ask.
Off-topic is tolerated to some extent. Submissions should all be about mathematics, or clearly relate to mathematics. However, once you get into the comments section, it's a much looser standard. Discourse is encouraged, so long as civility is maintained. Good conversations tend to meander around topics and that's perfectly acceptable.
If you do vote, concentrate on promoting content and not downvoting content. Encourage and comment, if you see something that could use improvement. Downvotes don't convey very much information and aren't really helpful. If you must, you must... But try to assume the person making the post was just communicating poorly. Try to assume the best possible interpretation of their post.
Some terms:
- WDT Weekly Discussion Thread
Greek Alphabet:
Α α, Β β, Γ γ, Δ δ, Ε ε, Ζ ζ, Η η, Θ θ, Ι ι, Κ κ, Λ λ, Μ μ, Ν ν, Ξ ξ, Ο ο, Π π, Ρ ρ, Σ σ/ς, Τ τ, Υ υ, Φ φ, Χ χ, Ψ ψ, Ω ω
Hebrew Alphabet:
א ב ג ד ה ו ז ח ט י כ/ך ל מ/ם נ/ן ס ע פ/ף צ/ץ ק ר ש ת
Other common symbols:
¬ → ⇒ ⇔ ∀ ∂ ∃ ∅ ∇ ∈ ∉ √ ∞ ∧ ∨ ∩ ∪ ⊕ ∫ ≈ ≠ ≡ ≤ ≥ ⊆ ⊂ ⊃ ⊄ ° ± · × ⟌ ÷ ⌊ ⌋ ⌈ ⌉ ➀ ℤ ℕ ℙ ℚ ℝ ℂ ℍ ℭ
If you're interested in academia, you can feel free to also join us at v/PrincipiaAcademia where we discuss all things academic.
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[–] VIP740 0 points 1 point 1 point (+1|-0) ago
What are everyone's thoughts on 00?
[–] TheBuddha [S] 0 points 1 point 1 point (+1|-0) ago
The rules of mathematics impose limits. For this, we get my favorite example of the infinitesimal nines equalling one. But, also because of this, most of the math folks think that 0^0 = 1. On tablet, not doing fancy notation.
Which is, of course, absurd. Calculus textbooks usually say it is undefined and wash their hands of the subject, and that's probably the smartest thing to do. However, in about 1994(?), someone provided proof that it equaled 1. This, of course, didn't actually end the debate. Last I knew, someone had posited a rebuttal and it was an obscene 100+ pages long. The difficulty being that they had to now prove no such thing was true.
I usually stick with it is undefined because, seriously, they are really contrived at this point. Like infinity and randomness, these very thoughts lead to insanity.
[–] VIP740 ago
The responses ended up over here.