To remove the condition from conditional asymptotic notation, you can express the function in terms of a simpler function that captures its growth rate without additional constraints. For example, if you have a function ( f(n) ) that is ( O(g(n)) ) under certain conditions, you can analyze its behavior in a broader context or identify a dominant term that represents its growth more generally. This often involves finding bounds that apply universally or altering the function to eliminate dependencies on specific conditions. Ultimately, the goal is to represent the function's asymptotic behavior in a more straightforward manner.
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scientific notation.
It depends on your calculator. You may find that you need to go to set up and then display mode.
Scientific notation is when you remove all the zeros from the number so you end up with 789. Then you put a decimal between the first and second numbers. After that you put a x10 then count all the zeros and put it to that power.
Shift a decimal place right from the starting point. Therefore, we write out: 1.23 x 10-1
1. Remove all of the zeros: 12. Make sure the remaining number(s) is greater than or equal to one and less than ten.3. Count the number of zeros that have been removed and/or the numbers moved to the right of the decimal (14)4. Write the number in scientific notation. (1.0x1014).*Note: if the number you need to convert to scientific notation is less than one, the exponent above the ten (in this case it is 14) would be negative.