Sentence examples for basic inequality from inspiring English sources

The next lemma shows that for smooth convex functions the basic inequality for subgradients can be improved.

"There's a lot that Philip Alston can say about basic inequality that goes to the heart of the rights that he is reviewing," Davis said.

But figures published last February by the Office for National Statistics show that the basic inequality remains: the infant mortality rate for "routine occupations and long-term unemployed" was 4.8 per 1,000; for "professionals" it was 2.5.

He developed a basic inequality of probability theory called Chebyshev's inequality, a generalized form of the Bienaymé-Chebyshev inequality, and used the latter inequality to give a very simple and precise demonstration of the generalized law of large numbers i.e., the average value for a large sample of identically distributed random variables converges to the average for individual variables.

As we wrote this editorial on Thursday evening, we were still waiting for the New York State Senate to do what it should have done long ago — end a basic inequality under the law by allowing same-sex couples the full right to marry.

Talking about "rewards for failure" nudges the issue away from basic inequality, and even limiting the conversation to the banks lets plenty of companies off the hook (witness Bart Becht, the one-time CEO of the firm that makes Cillit Bang detergent, in 2010 given a cash-and-shares package of £90m).

Is there a need for a political party, the Women's Equality Party, to campaign against the basic inequalities between the sexes at work and home, in the media and on the streets?

Things were especially bad in some of Paris's closest suburbs, which -- then as now -- were dumping grounds for people who could not afford to live in the historic and in many cases grand neighborhoods of the City of Light; "the flood soon began to reveal the basic inequalities between the many working-class suburbs and the wealthier city," as aid efforts were concentrated on the latter.

We establish some new results by using the basic inequalities.

Let us first introduce some basic inequalities which will be used later.

In the following, we recall the following two basic inequalities [27].