That means the hyperbolic cosine of a large negative number is 2, but the hyperbolic cosine function can't accept a large negative.
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8 years ago
OT: Mathematical Curiosity (NOT Primes ;-)
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8 years ago
Huh? COSH(-20) = 242.583E6
COSH(-200) = 361.299E84
;-) ...Jim Thompson
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| James E.Thompson | mens |
| Analog Innovations | et |
| Analog/Mixed-Signal ASIC's and Discrete Systems | manus |
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The touchstone of liberalism is intolerance
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8 years ago
But you specified "LARGE". Maybe it's only a limitation of the windows calculator, but I think not because hyperbolic functions are not cyclic, right?
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8 years ago
My concern was the _limit_ as x was large negative, puzzling over the value...
x + LOGe(COSH(x)) = -693.147m for LARGE negative x
As Bitrex pointed out, the limit is -LOGe(2) ...Jim Thompson
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| James E.Thompson | mens |
| Analog Innovations | et |
| Analog/Mixed-Signal ASIC's and Discrete Systems | manus |
| San Tan Valley, AZ 85142 Skype: Contacts Only | |
| Voice:(480)460-2350 Fax: Available upon request | Brass Rat |
| E-mail Icon at http://www.analog-innovations.com | 1962 |
The touchstone of liberalism is intolerance
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8 years ago
cosh(x) = (e^(x) + e^(-x))/2
the hyperbolic cosine is analytic on both the real line and complex plane (because e^x is analytic everywhere and all linear combinations of analytic functions are analytic), so plug in any number you want real or complex...