The meaning of DESARGUES'S THEOREM is a theorem in geometry: if the junction lines of corresponding vertices of two triangles are concurrent the junction points of the corresponding sides lie on the same straight line, the converse also being true.
The meaning of POYNTING'S THEOREM is a statement in electromagnetic theory: the transfer of energy by an electromagnetic wave is at right angles to both electric and magnetic components of the wave vibration and its rate is proportional to the vector pro
the theorem that an integer raised to a prime power leaves the same remainder as the integer itself when divided by the prime. Discover More Word History and Origins Origin ofFermat's theorem1 First recorded in1805–15;named after P. deFermat ...
. The following is a direct corollary of Theorem 1 and the definition above, and it is one of the main results in our paper. Theorem 2. If is a set of points that meets every hyperplane in at most points, and is a graph on with , then is a strong blocking set. We now need...
So my working definition of 'real-world' math is a mathematical task that is not self-referential. Which means, and I suppose you saw this coming, that my answer to Dan's question isnone of the above. None of those problems is real-world in any appreciable sense. They are all question...
23 April, 2025 in 245B - Real analysis, expository, math.CA, math.GT | Tags: condensed mathematics, Riesz representation theorem, Stonean spaces | by Terence Tao | 14 comments A basic type of problem that occurs throughout mathematics is the lifting problem: given some space that “sits...
Work | Definition, Formula & Examples 4:38 min Work Done by a Variable Force 7:10 min Energy | Definition, Types & Uses 9:40 min Kinetic vs Potential Energy | Definition, Differences & Examples 5:59 min Work-Energy Theorem | Definition, Equation & Examples 4:29 min Mechanical Energy |...
The meaning of BERNOULLI'S THEOREM is a basic principle of statistics: as the number of independent trials of an event of theoretical probability p is indefinitely increased, the observed ratio of actual occurrences of the event to total trials approache
The meaning of FERMAT'S LAST THEOREM is a theorem in number theory: the equation xⁿ + yⁿ = zⁿ has no solutions when x, y, z, and n are all positive integers and n is greater than 2.
However, by using methods similar to that used to prove Cartan’s theorem and von Neumann’s theorem, one can obtain a partial non-linear analogue which requires an additional hypothesis of a special type of metric, which we will call a Gleason metric: Definition 6 Let be a topological ...