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Quantitative metagenomics using a portable protocol. [PDF]

open access: yesAppl Environ Microbiol
Bian K   +9 more
europepmc   +1 more source

Complex Numbers

2021
This chapter highlights complex numbers, which refer to numbers comprising both real and imaginary numbers. Some complex numbers can be easily simplified. If the imaginary part is expressed as the square root of a negative number, we merely take the root of the number.
Paul Monk, Lindsey J. Munro
  +4 more sources

Complex Modular Numbers: Complex Numbers Need not be Complex

The Mathematics Teacher, 1976
Most students are faced with the task of solving the equation x2 + 1 = 0 over the real numbers at some time in their algebra classes. After they substitute values for x unsuccessfully, they usually attempt to solve the equivalent equation x2 = -1. They soon realize that it is impossible to square a real number and obtain a negative number.
Susan J. Grant, Ward R. Stewart
openaire   +1 more source

Complex Numbers Part 2

1970
In Part 1 of this programme on Complex Numbers, we discovered how to manipulate them in adding, subtracting, multiplying and dividing. We also finished Part 1 by seeing that a complex number a + jb can also be expressed in Polar Form, which is always of the form r(cos θ + j sin θ).
openaire   +1 more source

Complex Numbers Part 1

1970
The solution of a quadratic equation ax2 + bx + c = 0 can, of course, be obtained by the formula.
openaire   +1 more source

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