Table of Contents
What is the most evil theorem in mathematics?
Goedel’s Incompleteness Theorem proves that for any basic mathematical system, even basic arithmetic, there are always true statements that cannot be proven and, further, the corollary says that you can never prove the system is consistent.
What is the hardest theorem?
Fermat’s Last Theorem
The most challenging of these has become known as Fermat’s Last Theorem. It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13).
What are some theorems in math?
List of Maths Theorems
| Pythagoras Theorem | Factor Theorem |
|---|---|
| Isosceles Triangle Theorems | Basic Proportionality Theorem |
| Greens Theorem | Bayes Theorem |
| Angle Bisector Theorem | Quadrilateral Theorem |
| Binomial Theorem | Stewart’s Theorem |
What are the most important theorems in mathematics?
The Hundred Greatest Theorems
| 1 | The Irrationality of the Square Root of 2 | Pythagoras and his school |
|---|---|---|
| 4 | Pythagorean Theorem | Pythagoras and his school |
| 5 | Prime Number Theorem | Jacques Hadamard and Charles-Jean de la Vallee Poussin (separately) |
| 6 | Godel’s Incompleteness Theorem | Kurt Godel |
| 7 | Law of Quadratic Reciprocity | Karl Frederich Gauss |
What is the friendship theorem?
The “Friendship Theorem” states that, in a party of n persons, if every pair of persons has exactly one common friend, then there is someone in the party who is everyone else’s friend. (It is assumed that “friendship” is a symmetric, irreflexive relation).
What is green and Stokes Theorem?
Stokes’ theorem is a generalization of Green’s theorem from circulation in a planar region to circulation along a surface. Green’s theorem applies only to two-dimensional vector fields and to regions in the two-dimensional plane. Stokes’ theorem generalizes Green’s theorem to three dimensions.
Can Green’s theorem negative?
We can either travel clockwise along the curve, or counter-clockwise: Green’s Theorem only works when the curve is oriented positively — if we use Green’s Theorem to evaluate a line integral oriented negatively, our answer will be off by a minus sign!
What is an example of a mathematical theorem?
The famous theorem of Pythagoras is usually cited as the very first example of a proper mathematical theorem, in the modern sense of the word. It was of fundamental importance in the development of early geometry, and still plays a central role in that subject to this day.
What are the circle theorems for Class 9 and 10?
The circle theorems are important for both class 9 and 10 students. A few important theorems are: Theorem 1: Two equal chords of a circle subtend equal angles at the centre of the circle. Converse of Theorem 1: If two angles subtended at the centre by two chords are equal then the chords are of equal length.
What are the 8 theorem of arithmetic?
1 Pythagoras Theorem 2 Midpoint Theorem 3 Remainder Theorem 4 Fundamental Theorem of Arithmetic 5 Angle Bisector Theorem 6 Inscribed Angle Theorem 7 Ceva’s Theorem 8 Baye’s Theorem
What is Pierre de Fermat’s most famous theorem?
Pierre de Fermat’s most famous theorem is that this same equation is not true if you replace the squared with any number greater than 2 (you could not say x cubed +y cubed = z cubed, for example), as long as x, y, and z are positive whole numbers.