Numbers

Why are the real- & imaginary part of complex white gaussian noise independent processes?

Why are the real- & imaginary part of complex white gaussian noise independent processes?
  1. Is √ 1 a real number?
  2. Is 0.5 a real number?
  3. Is 4 a real number?
  4. Why is infinity not a number?

Is √ 1 a real number?

√ 1 is a real number.

Is 0.5 a real number?

Real numbers (R), (also called measuring numbers or measurement numbers). This includes all numbers that can be written as a decimal. This includes fractions written in decimal form e.g., 0.5, 0.75 2.35, ⁻0.073, 0.3333, or 2.142857. It also includes all the irrational numbers such as π, √2 etc.

Is 4 a real number?

These are the set of all counting numbers such as 1, 2, 3, 4, 5, 6, 7, 8, 9, …….∞. Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Why is infinity not a number?

Infinity is not a number, but if it were, it would be the largest number. Of course, such a largest number does not exist in a strict sense: if some number n n n were the largest number, then n + 1 n+1 n+1 would be even larger, leading to a contradiction. Hence infinity is a concept rather than a number.

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