Introduction Complex Numbers into Basic Growth Functions -(V) Hypothetic Factors Influencing Increase in θ in exp(θ)-
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The present trial was designed to investigate hypothetic factors influencing the increase in θ after the appearance of exp(θ) from expexp(iθ). Hypothetic factors used in this trial were related to properties of indefinite integral and Euler's formula. The results obtained were as follows. It was shown hypothetivally that '(-1)+1' appeared from '0' through indefinite integral of f(θ) on conditioin that f(θ)=0, where there was not an increase in θ. The hypothetic breakdown of multiplicatio form connecting eight conplex numbers to construct '-1' left 2exp(iθ), and one of the two exp(iθ) was changed into exp(θ) by the product of 'iθ'and '-i'(clockwise π/2 rotation of variable). The periodic increase in θ, the different breakdown of multiplicatioin form and changing one of the complex numbers into real number gave [-exp((iθ+2π))-exp(θ+2π)]. Consequently it was shown that exp(iθ) was offset by -exp(i(θ+2π)), due to the periodic,where there was an increase in θ if the minus sign was disregarded.
- 2005-02-01
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- Introduction Complex Numbers into Basic Growth Functions -(V) Hypothetic Factors Influencing Increase in θ in exp(θ)-