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Does the imaginary or real part come first when writing a complex number?
Wiki User
∙ 13y ago
The standard written form of a complex number is to first write the real part of the number, and then write the imaginary part; e.g. x+yi or 3+7i.
Wiki User
∙ 13y ago
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What best describes an imaginary number?
You can describe it as a number defined such that i squared = -1.You can also define the complex plane first, and then describe an imaginary number as a complex number in which the real part is zero.
Why is the square root of a negative number imaginary?
Any real number, when squared will give a positive real number. This is true weather you have a negative real number and square it, or positive. The concept of imaginary numbers was invented to handle equations which needed to use the square root of a negative number, in order to solve them.At first, they were not considered useful beyond this, so they were named imaginary numbers. Through the work of Euler and others, it became evident that imaginary and complex numbers could be useful, especially when analyzing waves, such as electrical waveforms.
How do you instantiate a complex number?
The following are the different ways to assign a value to a complex number:By passing two Double values to its constructor. The first value represents the real, and the second value represents imaginary part of a complex number.For example,Complex c1 = new Complex(5, 8); /* It represents (5, 8) */By assigning a Byte, SByte, Intl6, UIntl6, Int32, UInt32, Int64, UInt64, Single, or Double value to aComplex object. The assigned value represents the real part of the complex number, and its imaginary part becomes0. For example,Complex c2 = 15.3; /* It represents (15.3, 0) */By casting a Decimal or BigInteger value to a Complex object.For example,Complex c3 = (Complex) 14.7; /* It represents (14.7, 0) */Assigning the value returned by an operator to a Complex variable.For example,Complex c4 = c1 + c2; /* It represents (20.3, 8) */
What is the first step when dividing complex numbers?
The first step when dividing complex numbers is to find the conjugate of the denominator, which is the same expression but with the sign of the imaginary part changed. This is done to eliminate the imaginary part in the denominator.
Why did Carl Friedrich Gauss invent the imaginary number?
I am not sure he invented it; but the imaginary numbers were first invented to solve equations with third-degree and fourth-degree polynomials. They were at first considered an artifact to solve those problems, with no real meaning - hence the historical name "imaginary". Nowadays it is known that complex numbers (that consist of a real and an imaginary part) have lots of applications; to name only a few: electricity; quantum mechanics; art (ever seen a fractal, like the Mandelbrot set?).
What best describes an imaginary number?
You can describe it as a number defined such that i squared = -1.You can also define the complex plane first, and then describe an imaginary number as a complex number in which the real part is zero.
How do you write a pseudocode for additing two complex number?
Real part of the result = real part of first number + real part of second number Imaginary part of the result = imaginary part of first number + imaginary part of second number
Is square root -36 a irrational number?
The square root of negative 36 is an imaginary number and therefore not an irrational number. For a number to be irrational it must first be real.
Why is the square root of a negative number imaginary?
Any real number, when squared will give a positive real number. This is true weather you have a negative real number and square it, or positive. The concept of imaginary numbers was invented to handle equations which needed to use the square root of a negative number, in order to solve them.At first, they were not considered useful beyond this, so they were named imaginary numbers. Through the work of Euler and others, it became evident that imaginary and complex numbers could be useful, especially when analyzing waves, such as electrical waveforms.
Where did complex and imaginary numbers come from?
The 16th century Italian mathematician, Gerolamo Cardano was the first to use imaginary and complex numbers in his work on cubic equations.
How do you instantiate a complex number?
The following are the different ways to assign a value to a complex number:By passing two Double values to its constructor. The first value represents the real, and the second value represents imaginary part of a complex number.For example,Complex c1 = new Complex(5, 8); /* It represents (5, 8) */By assigning a Byte, SByte, Intl6, UIntl6, Int32, UInt32, Int64, UInt64, Single, or Double value to aComplex object. The assigned value represents the real part of the complex number, and its imaginary part becomes0. For example,Complex c2 = 15.3; /* It represents (15.3, 0) */By casting a Decimal or BigInteger value to a Complex object.For example,Complex c3 = (Complex) 14.7; /* It represents (14.7, 0) */Assigning the value returned by an operator to a Complex variable.For example,Complex c4 = c1 + c2; /* It represents (20.3, 8) */
What is complex number system?
All pairs of numbers, written in the form a + bi (for example: 3 + 5i, or 7 - 2i, etc.), where the first number is called (for historical reasons) the "real part" and the second number the "imaginary part". Complex numbers can be graphed as points on a plane. They have important applications in several fields of science, arts, and pure mathematics.
What is the first step when dividing complex numbers?
The first step when dividing complex numbers is to find the conjugate of the denominator, which is the same expression but with the sign of the imaginary part changed. This is done to eliminate the imaginary part in the denominator.
Why did Carl Friedrich Gauss invent the imaginary number?
I am not sure he invented it; but the imaginary numbers were first invented to solve equations with third-degree and fourth-degree polynomials. They were at first considered an artifact to solve those problems, with no real meaning - hence the historical name "imaginary". Nowadays it is known that complex numbers (that consist of a real and an imaginary part) have lots of applications; to name only a few: electricity; quantum mechanics; art (ever seen a fractal, like the Mandelbrot set?).
What are imaginary numbers?
In mathematics, an imaginary number is a number whose square is a negative real number and written in the form bi where i is the imaginary number √(-1) and b is real.A complex number is a number with both real and imaginary numbers, such as (3+2i), where 3 is real and 2i is imaginary.Imaginary numbers were 'invented' by Gerolamo Cardano in the 1500's while solving cubic and quartic equations although it is said he did not understand their properties, and they were not properly defined until 1572 by Rafael Bombelli, although he did not name them imaginary numbers.The name came from Descartes in his book "La Geometrie" where it was meant to be derogatory and sarcastic, as the number √(-1) was thought not to exist by many mathematicians. It was not until the work of Euler in analysis that the imaginary number i was properly understood and widely acknowledged as being a proper numberAnother AnswerMathematicians call the horizontal and vertical axes of a graph, the 'real' and 'imaginary' axes. Numbers lying along the real (horizontal) axis are called 'real numbers', and numbers lying along the imaginary (vertical) axis are called 'imaginary numbers'.(see first discussion page entry)
What best describes cuneiform?
The worlds first writing system, developed in Sumer.
How do you use imaginary number in a scientific calculator?
Each calculator has its own nomenclature for working with imaginary and complex numbers. Many scientific calculators allow you to just type -1 and hit the square root button and it will give you something like (0,1) or (1,∠90°). In the first example, the first number {the 0} represents the real part, and the second number {the 1} represents the imaginary part. This is what happens on the HP-48 and HP-50 in Rectangular mode. In the second example, the calculator is in Polar mode (degrees), rather than Rectangular. So the first number {1} is the magnitude, and the second {90°} is the angle, measured in a counterclockwise direction from the positive real axis. 90° points straight up and is purely imaginary. If my calculator was in radians mode, rather than degrees, then it would show (1,∠1.57) 1.57 radians is pi/2 (to 2 decimal places), which is the same angle as 90°. An earlier calculator that I had, you first had to put the calculator in complex mode, then you had to push an extra button to view the imaginary part of the answer.
