David Harrison Prize 2020 for LKPM1 by iwp https://padlet.com/iwp/ea2tzpayfnfrmz67 Ideas for short presentations on any area of Maths you find interesting....... en-us 2020-04-24 11:06:54 UTC 2025-04-29 19:49:46 UTC hello@padlet.com https://padlet-uploads.storage.googleapis.com/263519824/b6989557eeb74f7218c1cef1573ea927/Stress_energy_tensor.jpg Banache-Tarski theorem... 2 halves are more than a whole iwp https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/528057479 A clever way to cut a diamond in half and have two equally large diamonds as a result!!]]> 2020-04-24 11:06:54 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/528057479 example The Monty Hall problem iwp https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/528057481 A problem about probability.
3 doors, 1 car, and 2 goats. You get the choice to switch after 1 door is revealed to be a goat. Do you switch?]]> 2020-04-24 11:06:54 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/528057481 Jung's Theorem cheunga4 https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/535218828 Basically is the inequality between the diameter of a set of points in a Euclidean Space and the radius of the minimum enclosing ball of the set. 

Most common is the case of Jung's theorem in the plane, that is n = 2. In this case the theorem states that there exists a circle enclosing all points whose radius satisfies





]]> 2020-04-28 04:08:46 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/535218828 Bayes' Rule / Theorem 19lukw https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/535292681 Proof:

  1. P    (A | B) = P(A & B)/P(B) [By definition]

  2. P    (B | A) = P(A & B)/P(A) [By definition]

  3. P    (B | A) P(A) = P(A & B) [Multiply 2.) by P(A)]

  4. P    (A | B) P(B) = P(B | A) P(A) [Substitute 1.) in 3.)]

  5. P(A | B) = P(B | A) P(A)/P(B) [Bayes’ Rule]
Bayes' rule is a way of calculating conditional probabilities, probabilities whose value depends on the value of another probability. 
It can be used by clinicians in diagnostic conditions to find the accuracy of a test for a disease, given the patient's symptoms ,medical history, as well as the base rate of the disease. 
Base rate: odds of person getting disease, e.g. 1/1000 people has a chance of catching a disease. 

Winston
]]> 2020-04-28 05:25:30 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/535292681 Law of Cosine 19laus https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/535882430 he Law of Cosines is a theorem which relates the side-lengths and angles of a triangle. It can be derived in several different ways, the most common of which are listed in the "proofs" section below. It can be used to derive the third side given two sides and the included angle. All triangles with two sides and an include angle are congruent by the Side-Angle-Side congruence postulate.


For a triangle with edges of length a, b and c, opposite angles of measure A, B  and C , respectively, the Law of Cosines states:
c2 =  a2 + b2 -2ab cosC
b2 = a2+ c2 -2ac cosB
a2 = b2 + c2 -2bc cos A



]]> 2020-04-28 10:04:33 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/535882430 Game theory taim2 https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/538740693 The optimal auction?

]]> 2020-04-29 10:30:05 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/538740693 The Mathematics Used to Solve Crime karinahoo https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/554638229 2020-05-06 13:00:21 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/554638229 Euler's equation https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/591484950 (Kira)]]> 2020-05-24 15:45:49 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/591484950 The Brachistochrome Problem 19wardk https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/591772330 2020-05-24 19:17:53 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/591772330 The Brachistochrone Problem 19wardk https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/591773819 2020-05-24 19:18:53 UTC https://padlet.com/iwp/ea2tzpayfnfrmz67/wish/591773819