These expressions are analogous to the expressions for sine and cosine, dependant on Euler's components, as sums of complex exponentials.
is The bottom in the all-natural logarithm Log. Cosh mechanically evaluates to specific values when its argument would be the (all-natural) logarithm of a rational range.
ery, kosh′ėr-i, n. The traditional suitable of the Irish chief to quarter himself and his retainers on his tenantry—also cosh
‘The columnist coshed me on the back of the head and, whilst I was out, dumped me while in the uncharted territory of his overseas coverage blunders.’
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‘Officers acting on a idea-off swooped over a gang of robbers, believed to be armed with knives and coshes, just once they experienced held up a safety van.’
‘Greater than 260 knives, coshes, guns and bayonets went on demonstrate yesterday as West Yorkshire Police revealed the potentially lethal assortment of weapons handed in during an amnesty.’
Since the exponential functionality is usually outlined for any complex argument, we will increase the definitions on the hyperbolic functions also to intricate arguments. The functions sinh z and cosh z are then holomorphic.
‘The cosh as well as the teargas, he mentioned, have been left above from his night position to be a bouncer, and he experienced just forgotten to unpack them prior to travelling.’
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‘If D coshes V and he dies, a knockout post D can be chargeable for murder as he meant to induce grievous bodily hurt.’