Usually some number will have a recuring decimal, such as one third is 0.333333 and the threes go on forever. If the number is 0.9 and the 9's go on forever there is no practical use in using that number when the difference is so incredibly small that its approximated to 1.
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Yes, they are exactly the same, both of them increment k in 1.
746 watts equals 1 HP.
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K j equals j when K is 1 or j is 0.
This answer applies to programming languages in general. The equals sign is used for assignment. For example, the code "$variable = 1" assigns the value of 1 to the variable $variable. If you want to test whether values are the same (equality) the double equals sign is used. For example, when you want to verify that $variable has been assigned the value of 1 you would use: $variable == 1