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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: \[\begin{aligned}\end{aligned}\]
الآن أنت لا توجد آلة حسابية تقوم بتسوية هذا الحساب، ولكن أجزاءه قابلة للحساب. جرب أحد الحلول أدناه، أو أكتب حلك الخاص.
الرموز المستخدمة هنا
لمس أي رمز للحصول على التعريف الكامل، والصورة، وما يعنيه كل حرف في ذلك.
أسئلة يطرحها الناس
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.
أجزاء من هذه الصفحة مستمدة من Keller & Trotter, Applied Combinatorics (CC BY-SA 4.0). لقد تم تلخيصها وإعادة شرحها هنا؛ والأخطاء هي أخطائنا.
أكثر في Probability Theory
Sample spaces and the axiomsRandom variables and expectationThe common distributionsThe law of large numbers and the central limit theorem