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2. Complex number - Wikipedia

   en.wikipedia.org/wiki/Complex_number

   A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.

3. Additional Mathematics - Wikipedia

   en.wikipedia.org/wiki/Additional_Mathematics

   Download as PDF; Printable version; In other projects ... paper is 80 marks and constitutes 44% of the grade. Paper 2 ... analytic geometry and complex numbers ...

4. Complex conjugate root theorem - Wikipedia

   en.wikipedia.org/wiki/Complex_conjugate_root_theorem

   Since non-real complex roots come in conjugate pairs, there are an even number of them; But a polynomial of odd degree has an odd number of roots; Therefore some of them must be real. This requires some care in the presence of multiple roots; but a complex root and its conjugate do have the same multiplicity (and this lemma is not

5. Grassmann number - Wikipedia

   en.wikipedia.org/wiki/Grassmann_number

   In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra of a complex vector space. [1] The special case of a 1-dimensional algebra is known as a dual number .

6. Complex-base system - Wikipedia

   en.wikipedia.org/wiki/Complex-base_system

   Binary coding systems of complex numbers, i.e. systems with the digits = {,}, are of practical interest. [9] Listed below are some coding systems , (all are special cases of the systems above) and resp. codes for the (decimal) numbers −1, 2, −2, i. The standard binary (which requires a sign, first line) and the "negabinary" systems (second ...

7. Circle group - Wikipedia

   en.wikipedia.org/wiki/Circle_group

   A unit complex number in the circle group represents a rotation of the complex plane about the origin and can be parametrized by the angle measure ⁠ ⁠: = = ⁡ + ⁡. This is the exponential map for the circle group.