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*E. F. Beckenbach, R. Bellman: Inequalities. Springer-Verlag, Berlin 1983, 引用在 Alzer (1988). …06.PDF On the Ky Fan inequality and related inequalities I]. Mathematical Inequalities & Applications. Volume 5, Number 1 (2002), 49–56. …

| title = Improved Bonferroni Inequalities via Abstract Tubes. Inequalities and Identities of Inclusion–Exclusion Type | title = Bonferroni-Type Inequalities with Applications …

…and V. Balakrishnan, [http://www.stanford.edu/~boyd/lmibook/ Linear Matrix Inequalities in System and Control Theory] {{Wayback|url=http://www.stanford.edu/~boyd/l …2216/http://www.dcsc.tudelft.nl/~cscherer/lmi.html Course on Linear Matrix Inequalities in Control], Dutch Institute of Systems and Control (DISC). …

* J.E. Cohen, S. Friedland, T. Kato, F. Kelly, ''Eigenvalue inequalities for products of matrix exponentials'', Linear algebra and its applications, …eb/20120212183206/http://www.renyi.hu/%7Epetz/pdf/64.pdf A survey of trace inequalities], in Functional Analysis and Operator Theory, 287–298, Banach Center Public …

…{Citation | last1=Bullen | first1=P.S. | title=Handbook of Means and Their Inequalities | publisher=Springer Science+Business Media | location=Berlin, New York |… …

…，'''惠特尼不等式''' (英：'''Whitney's connectivity inequalities''' or '''Whitney's inequalities''')<ref>{{cite journal|title=Congruent Graphs and the Connectivity of Graph [[File:Whitney's_connectivity_inequalities_right_proof.png|替代=惠特尼不等式的右半边证明|缩略图|惠特尼不等式的右半边证明]] …

满足以下的不等式{{r|sgo}}<ref>Wassily Hoeffding, Probability inequalities for sums of bounded random variables, ''Journal of the American Statistical …fileadmin/user_upload/files/publications/pdf2820.pdf | title=Concentration Inequalities | publisher=Université de Paris-Sud, Laboratoire d'Informatique | author=St …

| title = A New Look at Newton's Inequalities | journal = Journal of Inequalities in Pure and Applied Mathematics …

…[[线性算子]]的[[不等式]]。而迹不等式就是与[[矩阵的迹]]有关的算子不等式。<ref name="C09">E. Carlen, Trace Inequalities and Quantum Entropy: An Introductory Course, Contemp. Math. 529 (2010) 73–1 证明和讨论可参考<ref name="C09">E. Carlen, Trace Inequalities and Quantum Entropy: An Introductory Course, Contemp. Math. 529 (2010) 73–1 …

…l |doi = 10.1007/BF01231769|title = Sharp uniform convexity and smoothness inequalities for trace norms|url = https://archive.org/details/sim_inventiones-mathemati …f>{{Cite journal|last=Fan|first=Ky.|date=1951|title=Maximum properties and inequalities for the eigenvalues of completely continuous operators|journal=Proceedings …

| title = The common source of several inequalities concerning doubly stochastic matrices …

…|last=Hardy|first2= J.E. |last2=Littlewood|first3= G.|last3= Pólya|title=Inequalities|publisher= Cambridge Univ. Press |year=1934|isbn=0521358809}} …itation|first=L J.|last= Rogers|title=An extension of a certain theorem in inequalities|journal= Messenger of math |volume=17|year=1888|pages= 145–150}} …

…ojecteuclid.org/journals/annals-of-statistics/volume-2/issue-1/Probability-Inequalities-for-the-Sum-in-Sampling-without-Replacement/10.1214/aos/1176342611.full |de 满足以下的不等式<ref>Wassily Hoeffding, Probability inequalities for sums of bounded random variables, ''Journal of the American Statistical …

* {{citation | title=The relaxation method for linear inequalities | last=Agmon | first=Shmuel | journal=Canadian Journal of Mathematics | yea * {{citation | title=The relaxation method for linear inequalities | last1=Motzkin | first1=T. S. | author1-link=Theodore Motzkin | first2=I. …

[[Category:Inequalities]] …

在[[概率论]]中，'''伯恩施坦不等式'''（Bernstein inequalities）给出了随机变量的和对平均值偏离的概率。在最简单的情况下，设<math>X_1,\cdots,X_n</math>是独立的[[伯努利試驗|伯努利随机变量 …

…_1 A_n</math>上的任意點<math>M</math>，從頂點到<math>M</math>的距離滿足<ref name="Crux">''Inequalities proposed in “[[Crux Mathematicorum]]”'', [http://www.imomath.com/othercomp/ …

…he Cauchy-Schwarz master class: an introduction to the art of mathematical inequalities |author=J. Michael Steele |pages=68–69 |chapter=Exercise 4.4: Lagrange's id …

* Wilf, H.S. ''Finite Sections of Some Classical Inequalities''. Heidelberg: Springer, 1970. …

…Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: A New Violation of Bell's Inequalities'', Phys. Rev. Lett. '''49''', 91 (1982). * A. Aspect et al., ''Experimental Test of Bell's Inequalities Using Time-Varying Analyzers'', Phys. Rev. Lett. '''49''', 1804 (1982). …