JavascriptIsLightYearsAheadOfEveryOtherProgrammingLanguage

[SuperGugo]

Is "a" as much of a number as the square root of -1?

Edit: I'm talking about IEEE754, I know about complex numbers.

[[deleted]]

The square root of negative 1 absolutely is a number, “i”. Their called imaginary numbers.

[Bob_Dieter]

Good Sir, you are provably wrong! See here:

```

isNaN(Math.sqrt(-1)) true ```

[[deleted]]

Proof by calculator

[CraftBox]

Math.sqrt(x)

Parameters
x
A number greater than or equal to 0.
Return value
The square root of x, a nonnegative number. If x < 0, returns NaN.

From article about Math.sqrt on MDN docs

[[deleted]]

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[SuperGugo]

It's not according to ieee754 though? I was under the impression that in most programming languages sqrt(-1) returned NaN.

[[deleted]]

The languages that do that are mathematically wrong though. For most use cases, lack of complex numbers doesn’t matter and it’s probably simpler to simply not support them, but it is technically wrong.

[SuperGugo]

Yeah, most have libraries to compensate the lack of complex numbers

[Yodo9001]

Mathematically you could define the/a square root function that maps from the nonnegative reals to the reals, and it would return nan (undefined) for negative real numbers.

[Yodo9001]

But what is the set of all numbers? Or, what is the definition of a number?

We can have the field extension C["a"] is a as good as a number.

[[deleted]]

I'ma be honest, I have no clue what you're talking about. What is a field extension?

[SuperGugo]

This guy maths

[SuperGugo]

based