maths.free › Probability Theory › Applying Probability to Combinatorics › Estimating Ramsey Numbers
Estimating Ramsey Numbers
We will find it convenient to utilize the following approximation due to Stirling. You can find a proof in almost any advanced calculus book.
Estimating Ramsey Numbers
We will find it convenient to utilize the following approximation due to Stirling. You can find a proof in almost any advanced calculus book. \[\begin{aligned}\end{aligned}\] Of course, we will normally be satisfied with the first term: \[\begin{aligned}\end{aligned}\] Using Stirling's approximation and the binomial coefficients from the proof of , we have the following upper bound: \[\begin{aligned}\end{aligned}\]
Şimdi sen Hiçbir hesap makinesi bu soruyu çözemez, ama parçaları hesaplanabilir. Aşağıdakilerden birini deneyin veya kendinizinkini yazın.
Burada kullanılan sembolleri
Tüm tanım, resim ve her harfin anlamı için herhangi bir sembolü tıklayın.
Sık sorulan sorular
What is the difference between probability and statistics?
Probability goes from a known model to what the data should look like; statistics goes from data back to the model. Probability theory is the deductive half.
What does the law of large numbers promise?
That the average of many independent samples converges to the expected value. It says nothing about any single trial.
Parts of this page are adapted from Keller & Trotter, Applied Combinatorics (CC BY-SA 4.0). Burada tekrar özetlenmiş ve açıklanmıştır. Hatalar bizim.
More in Probability Theory
Sample spaces and the axiomsRandom variables and expectationThe common distributionsThe law of large numbers and the central limit theorem