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Revision History for A152623 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Decimal expansion of 3/2.
(history; published version)
#23 by Ray Chandler at Mon Apr 29 09:37:36 EDT 2024
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editing

approved

#22 by Ray Chandler at Mon Apr 29 09:37:33 EDT 2024
LINKS

<a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).

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approved

editing

#21 by Amiram Eldar at Sun Sep 18 07:13:53 EDT 2022
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reviewed

approved

#20 by Joerg Arndt at Sun Sep 18 05:54:57 EDT 2022
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proposed

reviewed

#19 by Michel Marcus at Sat Sep 17 17:12:32 EDT 2022
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editing

proposed

Discussion
Sat Sep 17
22:07
Jon E. Schoenfield: @Bernard: thanks. The punctuation led me to assume you meant something else.
22:08
Jon E. Schoenfield: @Michel: thanks for the punctuation fix! :-)
Sun Sep 18
04:27
Bernard Schott: Ah, ok, understood! Yes, thanks for punctuation.
#18 by Michel Marcus at Sat Sep 17 17:12:28 EDT 2022
COMMENTS

For any triangle ABC, cos A + cos B + cos C <= 3/2, ; equality is obtained only when the triangle is equilateral (see the Kiran S. Kedlaya link). - Bernard Schott, Sep 17 2022

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proposed

editing

#17 by Bernard Schott at Sat Sep 17 15:34:28 EDT 2022
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editing

proposed

#16 by Bernard Schott at Sat Sep 17 15:33:58 EDT 2022
CROSSREFS

Cf. A002194, A020821, A104956 (other trigonometric inequalities).

#15 by Bernard Schott at Sat Sep 17 15:29:56 EDT 2022
COMMENTS

For any triangle ABC with , cos A + cos B + cos C <= 3/2, equality is obtained only when the triangle is equilateral (see the Kiran S. Kedlaya link). - Bernard Schott, Sep 17 2022

STATUS

approved

editing

Discussion
Sat Sep 17
15:31
Bernard Schott: Hello Jon, in any triangle ABC, we have always cos A + cos B + cos C ≤ 3/2; it is a nice exercise to prove this inequality; so we do not "with" in the comment.
#14 by N. J. A. Sloane at Sat Sep 17 14:16:15 EDT 2022
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proposed

approved