| 31. | In that case, the imaginary part of the result is a Hilbert transform of the real part.
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| 32. | The mapping is non-analytic because its real and imaginary parts do not obey the Cauchy Riemann equations.
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| 33. | The imaginary part arises from kinetic inductance.
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| 34. | The standard representation for complex numbers is as the sum of a real part and an imaginary part.
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| 35. | The modulus of a torus can be captured by a single complex number ? with positive imaginary part.
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| 36. | When the imaginary parts of any eigenvalues ( shown in cyan ) are non-zero, the bike exhibits oscillation.
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| 37. | Are they real or imaginary parts?
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| 38. | The thick green line indicates the real part of the function, and the thin red line the imaginary part.
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| 39. | Oscillations are present when poles with real part equal to zero have an imaginary part not equal to zero.
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| 40. | For a fixed value of ? the potential is presented upwards against the real and imaginary parts of ?.
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