inequality

[再寄小读者之数学篇](2014-06-21 Beal-Kaot-Majda type logarithmic Sobolev inequality)

For $f\in H^s(\bbR^3)$ with $s>\cfrac{3}{2}$, we have $$\bex \sen{f}_{L^\infty}\leq C\sex{1+\sen{f}_{\dot B^0_{\infty,\infty}}}\ln \sex{1+\sen{f}_{H^s}},\quad s>\cfrac{3}{2}. \eex$$ see [D. Chae
·2015-10-23 08:31

[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.1.3

Use the QR decomposition to prove Hadamard's inequality: if $X=(x_1,\cdots,x_n)$, then $$\bex |\det X
·2015-10-21 11:19

乘积型Sobolev不等式

(Multiplicative Sobolev inequality).
·2015-10-21 11:07

每日英语：March Remembers King's Dream

the entire world drew strength from the March on Washington 50 years ago, but that continued economic inequality
·2015-10-21 11:22

[Everyday Mathematics]20150211 Carlson inequality

$$\bex a_n\geq 0\ra \vsm{n}a_n\leq \sqrt{\pi}\sex{\vsm{n}a_n^2}^{1/4} \sex{\vsm{n}n^2a_n^2}^{1/4}, \eex$$ $$\bex \int_0^\infty |f(x)|\rd x \leq\sqrt{\pi}\sex{ \int_0^\infty f^2(x)\rd x }^{1/4}\sex{ \i
·2015-01-19 09:00

VC Theory: Hoeffding Inequality

之前提过的 ProfessorYaserAbu-Mostafa 的机器学习课程在Lecture5、6、7三课中讲到了 VCTheory 的一些内容，用来回答他在课程中提到的“CanWeLearn？”这个问题。更具体地来说，他这里主要解决了binaryclassification问题中的 Learnability 的问题，结论就是：如果hypothesisspace  的VCdimension是有限
sruixue·2014-10-16 00:00

Using the Triangle Inequality to Accelerate k-Means

Ifa pointisfarawayfromacenter,itisnotnecessarytocalculatetheexactdistancebetweenthepointandthecenter.如果一个点距离中心很远，那么就没必要计算这个点和中心的距离了。
haimengao·2014-06-01 22:00

Erdos–Mordell inequality

http://science.scileaf.com/library/2241埃尔多斯–莫德尔不等式Erdos–Mordellinequality0（共0）对本文的评价是有帮助- 评价本文埃尔多斯—莫德尔不等式,也称为埃尔多斯—莫德尔定理,是关于三角形内一点到其三个顶点和三条边的距离的不等式.设为一个三角形, 为该三角形内一点,记到三角形三个顶点的距离分别为, 和, 到三角形三边的距离分别为, 和
stereohomology·2014-04-23 16:00

Cauchy–Schwarz inequality

http://en.wikipedia.org/wiki/Cauchy%E2%80%93Schwarz_inequalityTheCauchy–Schwarzinequalitystatesthatforallvectors x and y ofan innerproductspace itistruethatwhere  isthe innerproduct.Equivalently,bytak
杰·2012-11-21 11:00

Jensen's inequality

http://en.wikipedia.org/wiki/Jensen's_inequalityIf λ1 and λ2 aretwoarbitrarynonnegativerealnumberssuchthat λ1 + λ2 = 1thenconvexityof  implies [这就是凸函数的定义]Thiscanbeeasilygeneralized:if λ1, λ2,..., λn a
杰·2012-10-30 12:00

如何新建索引:高开销的缺失索引

selectc.nameas库名,c.equality_columns,c.inequality_columns,c.included_columns,c.statementas表名,c.avg_total_user_costas
ocpyang·2012-02-13 08:00

如何新建索引:高开销的缺失索引

selectc.nameas库名,c.equality_columns,c.inequality_columns,c.included_columns,c.statementas表名,c.avg_total_user_costas
yangzhawen·2012-02-13 08:00

JFX学习笔记 五 重修语法——表达式

关系操作符 JFX  JAVA == equality == <> inequality !
suifongqi·2008-11-21 10:00
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