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Thus we obtain one more corollary below.

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Again by letting (L=0) in Theorem 2.5 and Theorem 2.10 we get two more corollaries as Corollary 3.1.

A more unexpected corollary of Spinoza's pantheism is that it eliminates the possibility of free will, or of contingency of any kind.

Perhaps the more important corollary, though, is that there's a huge margin of error in what Mr. Romney is promising, too.

(It's a feminine, more earnest corollary to "Doctor in the House," a funny 1952 novel by Richard Gordon about callow young doctors working in the same milieu, that was turned into a movie and later became a successful television series).

That incongruity was perhaps most stark on a boulder in Central Park, near East 66th Street, where Mitchell Quatinetz, a part-time student at Hunter College, and his tutor, Josh Manley, were taking part in a more common corollary to conducting business outside — holding class outside — and poring over a physics review book.

But a far more interesting corollary, if you ask me, is this: all those quirky little Internet subcommunities and subreddits to which people increasingly belong?

As a slightly more complicated corollary implied by Lemma 1, we have the following famous Poisson-Mehler (PM) expansion formula.

To be more precise, Corollary 3.5 improves Theorem 3.1 of Martinez-Yanes and Xu [10] from a single mapping to a family of mappings and from nonexpansive mappings to quasi-nonexpansive mappings, respectively.

More about Corollary 10: If h ( t ) = t s, s 2 = 1, L = 1 and we use as an example Φ ( x ) = Φ 1 s ( x ), s ≥ 1, Φ 1 is concave non-decreasing, then we get the result of Corollary 1 from [4].

A more modern corollary also suggests that "The unlived life is not worth examining".

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