Posts Tagged ‘imaginary’
Tuesday, November 24th, 2009
How to Find the Absolute Value of a Complex Number
Description
A detailed tutorial on the absolute value of a complex number. Step by step tutorial including several examples on the absolute value of a complex number for reference.
Overview
The absolute value of a complex number is a little different than the absolute value of a real number, because complex numbers deal with imaginary numbers. However, the answer is still a non-negative real number, just like the numbers you deal with in other math classes every day. Say that a complex number z is equal to a + bi, where i is an imaginary number. The |z| is equal to the square root of a^2 plus b^2. In other words, square both a and b, add them together, and find the square root in order to have to absolute value of a complex number z.
Tags: a, absolute, add, addition, b, complex, imaginary, number, real, root, square, squareroot, sum, trigonometry, z
Posted in Trigonometry | No Comments »
Thursday, November 19th, 2009
Overview of Negative Square Roots
Description
A detailed tutorial on negative square roots. Step by step tutorial including several examples of negative square roots for reference.
Overview
Negative square roots are just like negative numbers. Just like positive and negative numbers have the same true value, only on opposite sides of the number line, negative square roots and positive square roots also have that same property. However, they should not be confused with the square root of a negative number. The square root of a negative number is known as an imaginary number, and is not used in basic algebra. The negative square root is expressed by the square root of a number, with a negative sign in front of the square root symbol, and the square root of a negative number is expressed as a negative number with a square root symbol placed over it.
Tags: absolute, algebra, arithmetic, imaginary, line, negative, number, positive, root, square, squareroot, symbol, true, value
Posted in Arithmetic | No Comments »
Friday, November 6th, 2009
Overview of Symmetry
Description
A detailed tutorial on symmetry and symmetric images. Step by step tutorial including several examples of symmetry for reference.
Overview
Symmetry is a very basic concept in geometry. It is similar to invariance. It is when something is equal to itself through both of its sides. If you compare the two sides of something and they match, then the object is said to be symmetric. When testing an image for symmetry, the easiest test is to draw an imaginary line down the middle. Then pretend to fold the image over. If the two sides are perfect matches of each other, then the image is symmetric.
Tags: arithmetic, center, equal, fold, Geometry, imaginary, invariance, line, match, middle, same, symmetric, symmetrical, symmetry
Posted in Arithmetic | No Comments »
Friday, October 16th, 2009
Overview of the Conjugate Zeros Theorem
Description
A detailed tutorial on the conjugate zeros theorem. Step by step tutorial including several examples of the conjugate zeros theorem for reference.
Overview
The conjugate zeros theorem states that if a + b * i is a zero of a polynomial with real coefficients, then so is a – b * i. The conjugate zeros theorem can be proved by taking any function in this form and setting it equal to zero. The conjugate zeros theorem makes many equations easier to solve, especially complex equations when you get to higher levels of math.
Tags: a, b, Calculus, complex, conjugate, equations, function, i, imaginary, Math, number, theorem, zero, zeros
Posted in Calculus | No Comments »
Tuesday, September 22nd, 2009
How to Solve Euler’s Formula
Description
A detailed tutorial on the solving of Euler’s Formula. Step by step tutorial including several examples of how to solve Euler’s Formula for reference.
Overview
Described as one of the most beautiful and important mathematical formulas of all time, Euler’s Formula is something that is essential to know about. It is written in the form of 
where x is typically given in radians, although it can also be a complex number. Euler’s Formula is named after Leonhard Euler, who was not the first one to discover the formula, but to put it in the form we know today.
Tags: complex, complex analysis, euler's formula, imaginary, Leonhard Euler, Math, radians, trigonometry
Posted in Differential Equations | No Comments »
Tuesday, September 22nd, 2009
How to Solve De Moivre’s Theorem
Description
A detailed tutorial on the solving of De Moivre’s Theorem. Step by step tutorial including several examples of how to solve De Moivre’s Theorem for reference.
Overview
De Moivre’s Theorem was named after Abraham de Moivre. It states that any complex number (or any real number) x and any integer n that 
This is called De Moivre’s Formula. This formula is important because it connects complex numbers with trigonometry.
Tags: Abraham de Moivre, complex, de moivre's formula, de moivre's theorem, differential equations, euler's formula, imaginary, induction, Math, numbers, real, trigonometry
Posted in Differential Equations | No Comments »
Friday, September 18th, 2009
Introduction to Irrational Numbers
Description
A detailed tutorial on the definition of an irrational number. Step by step tutorial including several examples of irrational numbers for reference.
Overview
An irrational number is a number that cannot be written as the ratio of 2 integers. However, this does not mean they have no place on a number line. One of the most famous irrational numbers is pi, which is approximately equal to 3.14 – however, this is just a simplified version of the actual number. Another famous irrational number is the square root of 2. This is equal to around 1.41. Both irrational numbers and rational numbers are real numbers, which include all integers.
Tags: arithmetic, imaginary, integers, irrational, Math, natural, number, numbers, pi, ratio, rational, real, sqrt(2), square root
Posted in Arithmetic | No Comments »
Friday, September 11th, 2009
An Introduction to Imaginary Numbers
Description
A detailed tutorial on imaginary numbers. Step by step tutorial including several examples of how to solve problems using imaginary numbers for reference.
Overview
An imaginary number is a number that is considered to not be real – for instance, the square root of a negative number. You could never take a square root of a negative number – until you met i. i stands for “imaginary”, and it is the square root of negative one. Many previously impossible problems can now be solved by pulling out i from the equation.
Tags: -1, algebra, i, imaginary, imaginary number, Math, negative, real, real number, sqrt(-1), square root
Posted in Math | No Comments »
