# Complex numbers class 11 theory

• ## What is the argument of a complex number Class 11?

The argument of the complex number Z = a + ib is the angle θ which is the inverse of the tan function of the imaginary part divided by the real part of the complex number.
The argument of a complex number gives the relationship between the real part and the imaginary part of the complex number..

• ## What is the concept of complex numbers Class 11?

The complex number is basically the combination of a real number and an imaginary number.
The complex number is in the form of a+ib, where a = real number and ib = imaginary number.
Also, a,b belongs to real numbers and i = √-1.Jun 8, 2020.

• ## What is the set theory definition of complex numbers?

A complex number is a number that can be written in the form a + b i a + bi a+bi, where a and b are real numbers and i is the imaginary unit defined by i 2 = − 1 i^2 = -1 i2=−1.
The set of complex numbers, denoted by C, includes the set of real numbers (R) and the set of pure imaginary numbers..

• A complex number is the combination of a real number and an imaginary number.
The algebraic operations on complex numbers are defined purely by the algebraic methods.
Some basic algebraic laws like associative, commutative, and distributive law are used to explain the relationship between the number of operations.
• Complex numbers are introduced and taught in high school Algebra 2.
• Definition: A complex number is one of the form a + bi, where a and b are real numbers. a is called the real part of the complex number, and b is called the imaginary part.
Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.
• The argument of the complex number Z = a + ib is the angle θ which is the inverse of the tan function of the imaginary part divided by the real part of the complex number.
The argument of a complex number gives the relationship between the real part and the imaginary part of the complex number.
Aug 12, 2020For a complex number z = p + iq, p is known as the real part, represented by Re z and q is known as the imaginary part, it is represented by ImÂ
Aug 12, 2020The concepts covered in complex numbers class 11 Maths are important for students, as it will help them to solve the problems in the higherÂ
In mathematics, local class field theory, introduced by Helmut Hasse, is the study of abelian extensions of local fields; here, local field means a field which is complete with respect to an absolute value or a discrete valuation with a finite residue field: hence every local field is isomorphic (as a topological field) to the real numbers R, the complex numbers C, a finite extension of the p-adic numbers Qp (where p is any prime number), or the field of formal Laurent series Fq((T)) over a finite field Fq.
In mathematics, the Pontryagin classes, named after Lev Pontryagin, are certain characteristic classes of real vector bundles.
The Pontryagin classes lie in cohomology groups with degrees a multiple of four.

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