User:Keith.U

Undergraduate mathematics\statistics student. Mathematics courses taken (roughly in order): Discrete Mathematics, Elementary Linear Algebra, Differential Calculus, Integral Calculus, Real Analysis I, Advanced Linear Algebra, Multivariate Calculus, Series Analysis, Ordinary Differential Equations, Algebra I, Numerical Methods, Probability I, Probability II.

Pages I've Created or Refactored
This exists as a quick reference for me to check over previous pages I've created or done major edits on, so that I may keep track of what I've done and round out entries made while perhaps overtired. If a page you have created or done significant work on appears here, please don't take this to mean I'm trying to claim any credit for your work. Again, this is so I may easily check for any "proofread", "tidy" or "refactor" tags that might arise, so I may correct my mistakes.

Pasting Lemma/Corollary 2

Pasting Lemma/Corollary 1

Pasting Lemma

Euler's Number to Rational Power Permits Unique Continuous Extension

Exponential with Rational Power Permits Unique Continuous Extension

Exponential Tends to One as Power Tends to Zero/Rational Number

Exponential with Base between Zero and One Tends to One as Power Tends to Zero/Rational Number

Exponential with Base Greater Than One Tends to One as Power Tends to Zero/Rational Number

Exponential with Base Greater Than One Tends to One as Power Tends to Zero/Rational Number/Lemma

Exponential is Monotonic/Rational Number

Taking Additive Inverses Reverses Inequality

Power of Positive Real Number is Positive/Natural Number

Power of Positive Real Number is Positive/Integer

Power of Positive Real Number is Positive/Rational Number

Inequality iff Difference is Positive

Exponential with Base Between Zero and One is Strictly Decreasing/Natural Number

Exponential with Base Greater than One is Strictly Increasing/Natural Number

Exponential with Base Between Zero and One is Strictly Decreasing/Integer

Exponential with Base Greater than One is Strictly Increasing/Integer

Exponential with Base Between Zero and One is Strictly Decreasing/Rational Number

Exponential with Base Greater than One is Strictly Increasing/Rational Number

Root of Reciprocal is Reciprocal of Root

Root is Strictly Increasing

Power Function is Strictly Increasing over Positive Reals/Natural Exponent

Real Number between Zero and One is Greater than Power/Natural Number

Power is Well-Defined/Rational

Power is Well-Defined/Integer

Exponential Function is Continuous/Real Numbers/Proof 4

Definition:Exponential/Real

Moore-Osgood Theorem

Logarithm is Strictly Increasing and Strictly Concave/Corollary

Euler's Number: Limit of Sequence implies Base of Logarithm

Exponential Sequence is Eventually Increasing

Derivative of Exponential Function/Complex

Product of Uniformly Convergent Sequences of Bounded Functions is Uniformly Convergent

Uniformly Convergent Sequence of Bounded Functions is Uniformly Bounded

Derivative of Sequence of Holomorphic Functions

Definition:Bounded Sequence/Complex/Unbounded

Definition:Bounded Sequence/Complex

Uniformly Convergent Sequence Evaluated on Convergent Sequence

Exponential Sequence is Uniformly Convergent on Compact Sets

Identity Theorem

Vitali's Convergence Theorem

Montel's Theorem

Definition:Locally Bounded

Definition:Locally Bounded/Family of Mappings

Definition:Uniformly Bounded

Definition:Locally Bounded/Mapping