The New Discoveries in Mathematics
Two 1s in 1
Exclusively for 1 there are two 1s, one at the left side and the other at the right side from the simple fractions of 1 and from the mixed fractions of 1, respectively.
At the left side of 1
From 0 till the beginning of 1 we get the first value of 1 from the simple fractions of 1 such as:
0 → ¼ → ½ → ¾ → till the beginning of 1
This beginning of 1 is 01 as the Real 1 value that begins from 0.
So on the clock the value of the first 1 hour begins from 0 o’clock and ends at the beginning of 1 o’clock. Nevertheless, the 1 o’clock begins at 1 o’clock and fulfills the second 1 hour of the clock at the fullness of 1 o’clock. This fullness of 1 we get through the mixed fractions of 1 (that is 1 to 1). But the third 1 hour further begins from 2 o’clock and ends at the fullness of 2 o’clock, totally the third 1 hour, that is 2 to 2 as this fullness of 2 we get through the mixed fractions of 2 [But no simple fractions for 2 or 3 or 4 or any other digit except for 1. So except for 1 there is no left-side extra/additional 1 value for any other digit].
Because the first 1 value begins from 0 at the left side of 1,
At the right side of 1
From 1 till the fullness of 1 (that is 1 to 1) we get the second value of 1 from the mixed fractions of 1 such as:
1 → 1¼ → 1½ → 1¾ → till the fullness of 1
This second value of 1 is really ‘1+’ because this second/another 1 value begins from 1.
So on the clock the value of the second 1 hour begins from 1 o’clock and that second 1 hour ends at the ending of 1 o’clock.
Because the second 1 value begins from 1 at the right side of 1,
Because the simple fractions of 1 begin from 0, such a 0 at the left side is valuable.
↓
This is similar to the right-side 0 that is valuable, but the 0 alone is always valueless.
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The New Discoveries in Mathematics