NTA-NET (UGC-NET) Computer Science & Applications (87) Discrete Mathematics-Number System Study Material (Page 2 of 3)

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Number System: Irrational Numbers and Real Numbers

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Number Systems

Irrational Numbers

Alternative forms of φ – As mentioned, this is the most likely question from this section. We can represent the Golden ratio in many different forms. As mentioned before, these will again be only approximations only, since this is an irrational number.

Here we have used a numerical ratio to generate the value of the Golden ratio

Here we have used the golden ratio itself …

… (259 more equations, 50 figures) …

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Number System: Complex Numbers, Prime, Composite, Proper, Improper, Mixed, Algebraic, Transcendental Fractions

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Number Systems

Complex Numbers

As we already know, these are the numbers that can be expressed in the form , where a and b are real numbers, and i is a solution of the equation . Because no real number satisfies this equation, i is called an imaginary number.

  • Further, the complex numbers include the set of real numbers. The real numbers, in the complex system, are written in the form , with “” being a real number.

… (276 more equations, 66 figures) …

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