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 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
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...
. 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...
Define Wiles's theorem. Wiles's theorem synonyms, Wiles's theorem pronunciation, Wiles's theorem translation, English dictionary definition of Wiles's theorem. n. The theorem that the equation an + bn = cn has no solutions in positive
Define Pythagoras's theorem. Pythagoras's theorem synonyms, Pythagoras's theorem pronunciation, Pythagoras's theorem translation, English dictionary definition of Pythagoras's theorem. Pythagorean theorem The Pythagorean theorem is a2
Definition 1 (Spread set) Let . A random set is said to be -spread if one has for all sets . A family of sets is said to be -spread if is non-empty and the random variable is -spread, where is drawn uniformly from . The core can then be selected greedily in such a way th...
theorem, the proof,” I want them saying, “my definition, my theorem, my proof.” 23 All of these complaints aside, the real problem with this kind of presentation is that it is boring. Efficiency and economy simply do not make good pedagogy. I have a hard time believing that...
Definition 1 (Nines of safety) An activity (affecting one or more persons, over some given period of time) that has a probability of the “safe” outcome and probability of the “unsafe” outcome will have nines of safety against the unsafe outcome, where is defined by the formula (where...
Ad Theorem 1.7. Let the assumptions of Theorem 1.7 hold and assume without loss of generality that we have inequality (11) from Definition 1.6. Consider the mixed term in the last line of (18) and note that on account of (11), we may estimate ...