The electromagnetic spectrum can be partitioned into different band intervals of detection. A simplified generalized classification can be the following divisions. At one end are the radio partitions. At the other are the x-rays. In between of decreasing wavelength or increasing frequency are the microwave, infrared, visible spectrum, and the ultra-violet. Given any partition, the product of its corresponding wavelength and frequency is always a constant. This constant is the speed of light.
Expressed in centimeters per second of time, the common logarithm of light speed is about 10.5 rounded to the nearest one decimal place. The common logarithm of wavelength of the range of microwaves is found between 1 and -1.5. This range corresponds to the common logarithm of frequency between 9.5 and 12 or between 1 gigacycle and a thousand gigacycles. It can again be noted that as the wavelength increases the frequency decreases, vice versa. These inverse variations always follow the simple mathematical rule that the common logarithm of wavelength plus the common logarithm of frequency always equal to 10.5, 1+9.5=10.5 or (-1.5)+12=10.5. However, it can be asserted without proof that the common logarithm of wavelength or the common logarithm of frequency approaches either sides of infinity faster than the other such that the zero common logarithm of wavelength can be found within the microwave range while the zero common logarithm of frequency can be found in the neighborhood of wavelength of three hundred thousand kilometers. To detect this enormous wavelength of light would require a radio antenna that is about half as long or one hundred fifty thousand kilometers in length.


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