is one over zero undefined?
2817
1/0 is said to be undefined because division is defined in terms of multiplication. a/b = x is defined to mean that b*x = a. There is no x such that 0*x = 1, since 0*x = 0 for all x. Thus 1/0 does not exist, or is not defined, or is undefined.
884175
5/0 is undefined. Sometimes you can evaluate it as “infinity”, which isn't really a proper number you can calculate things with, but works for some purposes (like, if you get infinity or negative infinity on an equation you're trying to graph, that's just a sign you're looking at an asymptote).
627376
The real natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of zero is undefined.
1351606
The absolute value function is continuous at 0. Computations of the two one-sided limits of the absolute value function at 0 are not difficult to complete. Since |x| = x for all x > 0, we find the following right hand limit. Since |x| = -x for all x < 0, we find the following left hand limit.
962185
There is NO solution, so any non-zero number divided by 0 is undefined. Comment on CarlBiologist's post “Infinity is not a real number, and even if it were...”
66731
0 (zero) is a number, and the numerical digit used to represent that number in numerals. It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems.
1456842
Indeed x/x is only defined when x≠0. And wherever it is defined, its value is 1.
90941
“Zero” is considered to be a number while “nothing” is considered to be an empty or null set. Zero has a numeric value of “0.” Zero is a numerical digit as well as a number and is used to denote that number in numerical values. ... The difference between zero and nothing may be clarified using an example.
194315
In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form.
265248
An expression is "undefined" if it's gibberish, i.e., it can't be parsed in the rules of the system we're working in. Something "does not exist" if the expression potentially referring to that something can be parsed but nothing fulfills the criteria that expression establishes.
919263
Solution. Though the expression 1 divided by infinity is undefined, we can see what the expression 1/x approaches as x approaches infinity using limits. We found that the limit of 1/x as x approaches infinity is 0.
1214841
Undefined is also a primitive value in JavaScript. A variable or an object has an undefined value when no value is assigned before using it. ... typeof undefined will return undefined not an object. In the above example, we have not assigned any value to a variable named 'myVar'. A variable 'myVar' lacks a value.
1407600
The square root of a negative is undefined over the Reals because there is no Real number which, squared, is negative; it's as simple as that. There are alternate number systems (e.g. Complex numbers, Algebraic numbers) where there are numbers which, when squared, yield a negative result.
1296320
Null and Undefined are both data types in JavaScript. Undefined is a variable that has been declared but not assigned a value. Null as an assignment value. ... However, when you assign null to a variable, you are declaring that this value is explicitly empty.
1389388
Basically, adding 0 to any number will NOT change that number. ... That means if you can find any number where , then 1 is NOT an additive identity.
257763
1) The square root of a negative number is undefined. 2) The square root of -1, or i, is defined as an imaginary number. ... The only possible explanation is that √ -1 or i is both undefined and imaginary, and imaginary is just a mathematical representation of something undefined and not a definition in itself.
797695
and zero is an integer constant. So basically NULL is 0 in pointer terms. In SQL databases this difference is very important. NULL in SQL basically means that the value is 'undefined' whereas 0 is a defined value.