Explaining Complex Search Results

How To: Find the complex conjugate of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Add and subtract complex numbers

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Find real and imaginary parts of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Divide complex numbers

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Write the square root of a negative complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Multiply complex numbers

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Represent complex numbers with the Argand Diagram

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Calculate the modulus and argument of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Find the polar form of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics support and study materials for use with students.

How To: Find the area of complex figures

In this tutorial the author explains how to compute the area of a complex figure. Now he first defines what a complex figure is by saying that a complex figure is a figure made up of two or more basic shapes. He uses an example to convey his idea and breaks that sample figure into basic squares and rectangles. Now he computes the areas of these individual units separately and finally puts them together to arrive at the final area of the complex figure. If you are looking to compute the area o...

How To: Understand depth of field while focusing a camcorder

Depth of Field (DoF) is easy to understand, but it is often extremely poorly explained. It's all about selective focus. For consumers with conveniently small camcorders, you only have two options: get your subject away from the background and then (1) zoom in or (2) get the subject close to the camera. No 35mm lens adapters, no secret techniques, no complex math: That's it!

How To: Use displacement in Photoshop

It might take Einstein to help explain the complex physics of bending light, but when it comes to bending pixels, it is an art commonly referred to in Photoshop as displacement. Displacement can let you use the lumonosity values of one image to bend the pixels of another; a "relativity" of sorts. Bert explains how this all works in this episode.

How To: Easily balance a chemical equation

In this video, we learn how to easily balance a chemical equation. In a balanced equation, there should be the same number of atoms on both sides of it. There are no rules that explain how you get a balanced reaction from expression. First, start on the molecule or compound that is the most atomically complex. After you look at this, you can learn how to make the rest of the equation equal to each side. This is a complex process that you must walk through to figure out, but it will result in ...

How To: Simplify Complex Fractions

The key to simplifying fractions is to convert the fraction from a hamburger to a hot dog. In other words you change it from a fraction to a division problem, and then use Keep,Change,Flip to simplify. The video explains all of this and helps make complex fractions,simple.

How To: Create a vector from a bitmap in Xara Xtreme

This tutorial explains how to properly use Xara Xtreme to create a vector drawing from a bitmap. The tutorial explains the use of primitive shapes like ellipse tool, and combining it with the use of the Shape Editor tool for drawing of the more complex shapes. The tutorial also deals in passing with the use of fills and outlines. Another major point it discusses is rotating and positioning of objects and the use of blending to achieve gradient effects when needed.

How To: Perform the "spellbound" card trick to impress friends

Andy Field shows his audience how to perform the Spellbound magic trick. The video is set up as a tutorial which means he is explaining to the viewers how the trick is performed, or in other words what his secrets are. The trick itself is fairly complex and to grasp the full understanding of the concept it is recommended that you watch the video. According to Andy, most people already suspect how he is doing the trick, but he just wants to confirm their hypothesis. The video is five minutes a...

How To: Find the sum of reciprocals of complex numbers

In this tutorial the instructor shows how to calculate the sum of reciprocals of complex numbers. If you have to find out the sum of the reciprocals of two complex numbers first you will have to find out the least common multiple of the denominators. To do this multiply the numerator and denominator of the first fraction by the second complex number. Similarly multiply the numerator and denominator of the second fraction by the first complex number. Now you will have two fractions whose denom...

How To: Multiply complex polynomials in algebra

Faced with a tricky polynomial multiplication problem? Need some help figuring out how to solve it? See how it's done with this five-part free video algebra lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Simplify complex fractions in algebra

Being circuitous and using ample euphemisms has gotten many a politan elected by the dumb and hated by the knowing. Though embellishing speech is often preferred in jovial presidential debates, mathematicians prefer to cut out the fat and get straight to the point.

How To: Find the perimeter & area of a complex figure

In this video tutorial the author shows how to find the perimeter and area of a complex figure. He shows that a complex figure can be subdivided into standard geometric figures. In the current example he divides the complex figure into a rectangle and a triangle. Now he computes the perimeter by adding the three sides of the rectangle and the two sides of the triangle. Similarly he computes the individual areas of the rectangle and the triangle and finally adds then up to find the area of the...

How To: Solve equations with the order of operations

In mathematics, the order of operations define the priority in which complex equations are solved. The top priority is your parenthesis, then exponents, followed by multiplication and division, and finally addition and subtraction (PEMDAS). This video tutorial demonstrates the order of operation with various examples and explains the associated methodology. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autod...

How To: Solve complex indefinite integrals in calculus

In this video the math teacher explains the meaning of the indefinite integral formula in calculus by stating it in terms of antiderivatives. He then shows in general terms how this indefinite integral formula has a related derivative formula, i.e. if the derivative of F(x) is f(x) then the indefinite integral of f(x) is F(x) plus a constant term (C). With this general relationship the teacher takes us through three related examples where he converts a derivative formula to an integral formul...

How To: Stitch a complex filet crochet and read graphs

How To Filet Crochet - Part 1 We we first heard the term "filet crochet," an image popped up in our minds of chicken fillets from McDonald's, only made from crochet yarn (yes, we were also quite hungry at the time). Well, we'll have to save the yarn foods for another time, because a filet crochet is actually a very complex, difficult crocheting pattern that requires a graph in order to get the stitches right.

How To: Simplify square roots w/ product & quotient rules

In this math tutorial, you will learn how to simplify square roots with product and quotient rules. To begin, you will need to multiply the square roots so that the two square roots in your equation are reduced down into one. The rule for non-negative "A" and "B" is that the square root of "A" multiplied by the square root of "B" yields the square root of A x B.

How To: Simplify complex fraction

In this video the instructor shows how to simplify a complex fraction. A complex fraction is a fraction that has fractions in both the numerator and the denominator of the original fraction. Complex fractions can look intimidating but are generally simple to solve, as shown in this video. A fraction is nothing but a division of its numerator and its denominator. So in a complex fraction basically you are dividing two fractions. Now you can turn this division into multiplication by multiplying...

How To: Draw the "y=A|x-h|+k" graph

In this video, one teacher talked in detail about how to solve absolute value functions and how to translate different absolute value functions from one point in the matrix to another one horizontally and vertically. If the function is y=A|x-h|+k, generally, the diagram is symmetric based on the line of X and can be moved vertically based on k. The teacher gave several examples to explain how to illustrate the absolute value function. He started with a simple one: y=|x-h|, then continued with...

How To: Find the vertex when graphing a quadratic equation

The instructor goes about giving a crash course on finding the vertex of a parabola. This is a very nice review of the subject but not really a complete lesson. The instructor fails to explain many of the symbols and other expressions used. The simple way taught by the instructor is the short cut to finding an otherwise complex problem. The nice thing about this technique is that there are no exceptions to this short cut. This is not what someone should learn if they wish to understand the co...

How To: Understand the Scale Line Width setting in Xara Xtreme

In this tutorial the author shows how to work with dimensions in the Xara Xtreme tool. This is basically a complex concept. Now open the tool, go to window and open dimensions. Make a square. You can see the details of the square on the tool bar which shows the width height and X,Y dimensions of the image. Here the image is straight forward. Now you can add the borders to the square and see the changes in the dimensions of it. This video shows the different changes that are taken place and al...

How To: Build complex layouts in Adobe InDesign CS5

Whether you're new to Adobe InDesign or a seasoned graphic arts professional after a general overview of CS5's most vital new features, you're sure to be well served by this official video tutorial from the folks at Adobe TV. In it, you'll learn how to build complex layouts in less clicks with paragraphs that span or split columns in InDesign CS5.

How To: Make complex selections easily in Adobe Photoshop CS5

We don't know about you, but making selections around oddly shaped areas of an image is one of the most frustrating single tasks in Photoshop. Odd shapes are really hard to navigate around by hand and often you can't get a perfect cut. Luckily, this Photoshop tutorial will guide you through how to make complex selections easily in Adobe Photoshop CS5.

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