Can Natural Numbers Be Negative The positive integers are mathbb Z 1 2 3 dots and it s always like that The natural numbers have different definitions depending on the book sometimes the natural numbers is just the postivite integers mathbb N mathbb Z but other times the natural numbers are actually the non negative numbers mathbb N 0 1 2 dots
My teacher told me that the natural logarithm of a negative number does not exist but ln 1 ln e i pi i pi So is it logical to have the natural logarithm of a negative number begingroup copper hat Technically not true as far as the statement all natural numbers except 1 can be represented in this form goes whether 1 actually also can be represented in that form is irrelevant
Can Natural Numbers Be Negative
Can Natural Numbers Be Negative
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Can Natural Numbers Be Negative Awestruck Club
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When we extend the natural numbers to the set of integers then we allow negative integers and the set of integers will be a group Then we can consider the set of natural numbers as a subset of the group of integers thus a positive integer has an additive opposite which is an integer but is not a natural number Thus when we say natural How can dragons heat their breath How to write a function in LATEX whose value is different in 0 1 3 1 3 1 2 Reorder indices alphabetically in each term of a sum
We all use to natural numbers as dimensions 1 stands for a length 2 for area 3 for volume and so on Hausdorff Besicovitch extends dimensions to any positive real number So my question is there any dimension which extends this notion further negative numbers or even irrational numbers If so what are the examples how it can be used Technically this statement is wrong He could say The square root of a positive number is positive by definition E g for 0 you get sqrt 0 0 which is neither positive nor negative And for negative numbers you even get complex
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Generally the definition of prime numbers is all those natural numbers greater than 1 having only two divisiors the number itself and 1 But can the negative integers also be thought of in the same way For example if we take the case of 1 Then it is divisible by 1 and itself Can we call it prime Why Or why not In the domain of non negative integers X 1 is the only solution and with complex numbers we have 4 solutions Modulo 10 X 3 is a solution The original question fails because it assumes rules that only hold for finite rationals yet it contains a sum S whose value is not a finite rational endgroup
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The positive integers are mathbb Z 1 2 3 dots and it s always like that The natural numbers have different definitions depending on the book sometimes the natural numbers is just the postivite integers mathbb N mathbb Z but other times the natural numbers are actually the non negative numbers mathbb N 0 1 2 dots
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My teacher told me that the natural logarithm of a negative number does not exist but ln 1 ln e i pi i pi So is it logical to have the natural logarithm of a negative number
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