ProofWiki:Potw

Current Featured Proof

Converting Decimal Expansion of Rational Number to Fraction

HOW TO USE THIS PAGE

$(1): \quad$ Select the proof $\text P$ you want to put up as POTW.

$(2): \quad$ Edit $\text P$ to put this at the top:

<!--{{Previous POTW|<today>}}-->

replacing <today> with today's date.

$(3): \quad$ Edit the previous POTW to change:

<!--{{Previous POTW|<somedate>}}-->

to:

{{Previous POTW|<somedate>|<today>}}

$(4): \quad$ Edit this page to:

$\text {(a)}$ add the old POTW to the top of the list

$\text {(b)}$ put the new POTW into the two places where the last one was.

$(5): \quad$ Purge the main page (or edit it and save it without changes) to refresh the page.

Previous featured proofs

• Sum of nth Fibonacci Number over nth Power of 2/Proof 1
• Pi is Irrational/Proof 1
• Laplace Transform of Complex Power
• Pigeonhole Principle
• Cardinality of Set of Surjections
• Thomae Function is Continuous at Irrational Numbers
• Length of Arc of Nephroid
• Real Plus Epsilon
• Generalized Integration by Parts
• Harmonic Number is not Integer
• Length of Perimeter of Cardioid
• Number of Primes is Infinite
• Complex Numbers cannot be Ordered Compatibly with Ring Structure
• Length of Arc of Astroid
• Area of Triangle in Terms of Circumradius
• Fundamental Theorem of Calculus/Second Part/Proof 2
• Brahmagupta-Fibonacci Identity
• Primitive of Reciprocal of x squared plus a squared/Arctangent Form
• Intersection of Relation with Inverse is Symmetric Relation
• Between two Real Numbers exists Rational Number
• De Méré's Paradox
• Cauchy Condensation Test
• Congruence of Sum of Digits to Base Less 1
• Rule of Material Implication/Formulation 1
• Identity of Points
• Differentiable Function is Continuous
• Harmonic Series is Divergent/Proof 1
• Square Root of 2 is Irrational/Classic Proof
• Difference Between Adjacent Square Roots Converges
• Image of Intersection under One-to-Many Relation
• Fundamental Theorem on Equivalence Relations
• Linear Transformation as Matrix Product
• König's Tree Lemma
• Mean Value Theorem
• Brahmagupta Theorem
• Orbit-Stabilizer Theorem
• Variance as Expectation of Square minus Square of Expectation
• Integrating Factor for First Order ODE
• Cassini's Identity
• Bayes' Theorem
• Solution to Linear First Order Ordinary Differential Equation
• Basis Representation Theorem
• Odd Number Theorem
• Euler's Number is Irrational
• Kleene's Normal Form Theorem
• Picard's Existence Theorem
• Fundamental Theorem of Arithmetic
• Peak Point Lemma
• Closed Form for Triangular Numbers
• Existence of Euler-Mascheroni Constant
• Cauchy Mean Value Theorem
• Sum of Angles of Triangle equals Two Right Angles
• Monotone Convergence Theorem (Real Analysis)
• Bhaskara's Lemma
• Conjugacy Class Equation
• Fermat's Two Squares Theorem
• L'Hôpital's Rule
• Banach-Tarski Paradox
• Rolle's Theorem
• Heron's Formula
• Area of Circle
• Zero and One are the only Consecutive Perfect Squares/Proof 1
• Chinese Remainder Theorem
• Divisor Sum Function is Multiplicative
• Euclid's Lemma for Prime Divisors
• Lebesgue's Number Lemma
• Cardano's Formula
• Area of Square
• Integration by Parts
• Euclid's Lemma
• Combination Theorem for Sequences
• Russell's Paradox
• Derivative of Composite Function
• First Sylow Theorem
• Euler Phi Function of Integer
• Fundamental Principle of Counting
• Partition Equation
• Axiom of Archimedes
• Pascal's Rule
• Division Theorem
• Lagrange's Theorem (Group Theory)
• Solution to Quadratic Equation
• Handshake Lemma
• Cantor-Bernstein-Schröder Theorem
• Euler's Formula
• Fermat's Little Theorem
• Cantor's Theorem
• Euclid's Theorem
• Binomial Theorem
• Existence of Rational Powers of Irrational Numbers
• Law of Cosines
• Pythagoras's Theorem

Also see

• {{Previous POTW}}
• {{POTW Candidate}}