Pad/Paper
This is what we call the pad when we mathematicate™ it.
What is Ĩ²?
Ĩ² is _______ p.t. every Cauchy sequence converges.
What is complete?
This is our enemy that gives us values for epsilon.
Who is Carson?
This is a way to prove something by proving the opposite is not true.
What is a proof by contradiction?
These are our names.
Who are Leah, Rhea, and Thrayee?
This is how we mathematicate™ crumpling/ripping the paper.
What is the function f?
This law states that (A ∪ B)c = Ac ∩ Bc and (A ∩ B)c = Ac ∪ Bc.
What is DeMorgan's Law?
Transitive, symmetric, reflexive, are properties to define this.
What is an equivalence relation?
{p ∈ Ĩ² | dist(p, s) < r} is the description for _______.
What is a neighborhood or Nr(p)?
This is the prime number for the upcoming school year.
What is 73?
This is the Cartesian product of Ĩ².
What is [-1, 1]²?
For both closed and open intervals, both sequences can be Cauchy, but the ________ one will never be complete.
What is open?
O ⊆ Ĩ² is open p.t. ____ is closed.
What is Ĩ²/O OR what is the complement?
f is ______ if and only if f-1[0] is open ∀ open O ⊆ Ĩ².
What is continuous?
This is our teacher's rating on Rate My Professor.
What is 4.6/5.0?
These are the problems that have to do with the pad.
What is a hole in the pad, an infinite pad, and multiple pads?
O ⊆ Ĩ² is ______ p.t. ∀ p ∈ O ∃ ε > 0 s.t. N3(p) < 0.
What is open?
This is a function h: A → B is _________ if ∀ b ∈ B, ∃ a ∈ A s.t. h(a) = b.
What is surjective?
∀ s ∈ Ĩ² ∀ ε >0 ∃ δ > 0 s.t. if p ∈ Nδ (s) the f(p) ∈ Nε(f(s)).
What is a definition of continuity?
These are the states we are from.
What are Michigan, California, and Texas?
This is the fix for the multiple pads problem.
What is connected?
The function f: Ĩ² → Ĩ² is ________________ at John p.t. ∀ sequences (xn) in Ĩ² if xn → John, then f(xn) → f(John).
What is sequentially continuous?
This is a sequence S: ℕ → Ĩ² that ∀ ε ⊃ 0 ∃ k s.t. ∀ a, b > k, dist(sₐ, sb) < ε.
What is a Cauchy sequence?
This is the formula (g) to turn a square into a circle.
we couldn't format this answer properly here :(
This is how you spell __'s name.
What is Devayani?