complex number
1
6.3
- noun
- /ˈkɒmplɛks ˈnʌmbər/
- Specialized
:
número complejo
- Whether you're looking at rational numbers, real numbers, complex numbers, or whatever, they form a mathematical structure called a field.
You can project it from the top onto the plane, and you can think of the plane in terms of complex numbers, XIY.
- You can project it from the top onto the plane, and you can think of the plane in terms of complex numbers, XIY.
- Well, actually a complex number describes points in a in, you know, in Infinity, in Infinity of points in a plane.
- This means you can't use words like superposition, Hilbert space, complex number, or blosphere.
- But instead of taking integers, let's consider complex numbers, right?
- That's a matrix whose entries are complex numbers.
- This means we can add them with arbitrary factors which are complex numbers.
- PSI of XS are generally complex numbers.
- We'll talk about the standard form the the, the meaning behind complex numbers in another video and notes for you guys.
Examples
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The complex number 394.12095190904 gets broken down into its major components, making it easy to retrace how the number was built and what it is about, namely, the cultural history of food in twentieth-century Korea.
Academic text (2013) -
Let's take a complex number C and let's associate to this complex number the following function.
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What about our other complex number W?
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Understanding complex numbers as being two-dimensional is hardly original, but it allows a useful visualization.
Blog text (1) -
Multiplying complex numbers involves rotations and scaling.
Blog text (9) -
In the 1970s, Benoit Mandelbrot explored the properties of a simple recursive set based on complex numbers.
Academic text (2004) -
Just as real numbers form a "number line," complex numbers form a "number plane," traditionally drawn such that the pure real numbers are along the horizontal axis and the pure imaginaries are along the vertical axis.
Blog text (9) -
New built-in functions enhance IGOR's image processing features and handling of complex numbers, while maintaining the emphasis on large data sets, fast graph updates, extensive control of graphs, and publication-quality output.
Academic text (1998) -
A complex number can be represented as 4 + 5i, where 4 is the real part and 5 is the imaginary part.
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In mathematics, a complex number consists of a real part and an imaginary part, such as in 1 - 2i.
Synonyms
1
7.9
A number in the form a plus b i, where i is the square root of minus one
1
9.9
A number that has the square root of negative one
A number with one real part and one imaginary part
Antonyms
Surface Forms
Morphology
The phrase literally combines 'complex' (not simple, made of parts) and 'number', so a learner could infer it refers to a number with extra/compound parts, giving partial insight. However, the specific mathematical definition (a + bi with the imaginary unit i) is specialized and cannot be fully derived from the everyday senses of the constituents without domain knowledge, so the expression is only partially predictable.
Etymology
Complex number comes from the idea of a number 'made of two parts': a real part and an 'imaginary' part, written as a + bi. That's why it means a single number that joins a (the real part) and bi (the imaginary part).