No. For example the number 1+i. Pure imaginary complex numbers are of the form 0 + a*i, where a is a non-zero real number.
The only thing I can think of that you might mean is an imaginary or complex number. Since there is no solution to √(-1) mathematicians labeled it as i which is the imaginary number, and any number that includes purely i is also imaginary. Complex numbers are a mix of both real and imaginary numbers. for example 3 is real, 5i is imaginary and 3+5i is complex. Hopefully this answers what you meant.
No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.
Imaginary number is a number that consist of only Imaginary part. Such as i, 40i, 1/2i, etc. While the difference between the imaginary numbers and the complex numbers are that complex number also contains Real numbers, and can be written as a + bi. For example, 30+i, 1/2+1/2i, etc.
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
Rotation. For example the Earth rotates on its imaginary axis once per day.
hypothetical example.
The word imaginary is an adjective because it describes a noun, for example, I have an imaginary friend. The verb form is imagine. Try to imagine what the world would be like if people stopped fighting with each other.
Imaginary friends in dreams represent some aspect of the dreamer's own personality. For example, when a girl has a male imaginary friend, he is a symbol of her "masculine" traits of strength, determination, aggression, etc.
my imaginary sight is money fallin out of the sky
That number is called "i", the imaginary unit. The name "imaginary" is for historical reasons; these numbers have many practical applications, for example in electricity.
No. For example the number 1+i. Pure imaginary complex numbers are of the form 0 + a*i, where a is a non-zero real number.
It can be but it need not be. For example, i/2, where i is the imaginary sqrt of -1, is not real.
The only thing I can think of that you might mean is an imaginary or complex number. Since there is no solution to √(-1) mathematicians labeled it as i which is the imaginary number, and any number that includes purely i is also imaginary. Complex numbers are a mix of both real and imaginary numbers. for example 3 is real, 5i is imaginary and 3+5i is complex. Hopefully this answers what you meant.
No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.
An imaginary line in space could refer to an axis of rotation or an orbit path. For example, the Earth's axis is an imaginary line around which it rotates, while the orbit path of a planet around the Sun could be considered an imaginary line in space.
We call them imaginary numbers, like the square root of negative one.