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How To: Prove that the areas of diagonal-generated triangles are equal in geometry

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. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to demonstrate that a diagonal line drawn from one corner of a rectangle to another will generate two equivalent triangles.

News: Math Craft Inspiration of the Week: Electrically Generated Fractal Branching Patterns

Natural processes often create objects that have a fractal quality. Fractal branching patterns occur in plants, blood vessel networks, rivers, fault lines, and in several electrical phenomena. Many of these processes take lifetimes, or even occur on geological timescales. But this is not the case for electrical phenomena. They often occur near instantaneously. One example would be the branching patterns that sometimes occur in lightning.

How To: Operate a steadicam

A steadicam can mean the difference between a professional and steady wide shot of Victorian era London or a wobbly, user-generated content-esque portrayal of some old lamps and streets. Having control over how your camera moves is so vital to good film production.

How To: Create fire and smoke using Pyro FX in Houdini 10

The new Pyro FX in Houdini 10 are very impressive with improved workflow. The Pyro FX are great for creating 3D fire and smoke effects. And in this video tutorial series, you will learn the Pyro FX workflow in-depth and the parameters used to create fire and smoke effects. You will also see how volumetric data is created and recorded, and how to visualize it.

How To: Create visually stunning compositions from 3D renders in After Effects

Compositing and color correction are important and integral steps in processing a 3D render after it is generated in Cinema 4D, 3D Studio Max or any other 3D package. Compositing transforms simple renders and provides them with life, vibrancy and atmosphere. In this demonstration, Greyscale Gorilla breaks down a 5 second project from Rich Hinchcliffe and demonstrates how Rich uses Adobe After Effects, color correction, blurs, ReelSmart Motion BLur, Frischluft Lens Care and Lens Flares to tran...

How To: Model with files from Adobe Illustrator in Cinema 4D

In this C4D user's guide, you'll learn how to import and model from images generated in Adobe Illustrator. Whether you're new to MAXON's popular 3D modeling application or are just looking to get better acquainted with Cinema 4D and its various features and functions, you're sure to enjoy this free video software tutorial. For more information, and to get started using this trick in your own Cinema 4D projects, watch this 3D modeler's guide.

How To: Create augmented reality apps

In this video, viewers learn how to create augmented reality applications, using Papervision 3D version 2.0. Augmented reality is a term for a live direct or indirect view of a physical real-world environment whose elements are merged with virtual computer-generated imagery - creating a mixed reality. To create augmented reality applications, users require the following programs and software: Adobe Flex Builder 3, TortoiseSVN and FLARToolkit. This video tutorial is not recommended for beginne...

How To: Composite video for inserting backgrounds in sets

The Video On Demand highlights how amazing backgrounds are inserted behind characters and will show you how to composite video so your characters can seamlessly move in front of these images. Computer generated video objects may be superimposed over a background video image so as to create the illusion of a single composite scene. The leading edge of an object is detected and for a period of time the object and background video signals are mixed. After that period, only the object video is tr...

How To: Create particle spray on waves in Houdini

This 2 part Houdini 9 tutorial focuses on creating wind spray generated on the crest of a wave. Water is one of the most basic effects 3D softwares are used for, especially oceans and waves. So watch and learn how to add particle spray to the crests of waves and make your 3D water look more realistic in Houdini 9.

How To: Build APRS on the cheap

Long-time packeteer Bob Bruninga, WB4APR, developed the Automatic Packet Reporting System (APRS), which allows packet radio to track real-time events. It deviates markedly from the usual message- and text-transfer activity. Instead, APRS concentrates on the graphic display of station and object locations and movements.

How To: Build a wind turbine with PVC windmill blades

In this Education video tutorial you will learn how to build a wind turbine with PVC windmill blades. This project when completed will charge a 12V battery. You can turn a motor in to a generator. When you spin the shaft on the generator, electricity is generated. So you get a motor with a flywheel and attach the turbine blades to it. When the blades turn with wind action, electricity will be generated. Take PVC pipes, 8" in diameter and 24" long. Cut the blades out of the pipe as per directi...

How To: Find longitude and latitude coordinates in Google Maps

Learn how to view longitudinal and latitudinal coordinates on a Google Maps-generated map. This brief video tutorial from the folks at Butterscotch will teach you everything you need to know. For more information, including detailed, step-by-step instructions, and to get started finding GPS coordinates on Google Maps yourself, take a look.

How To: Animate 3D text from Cinema 4D in Adobe After Effects

This clip covers how to use Adobe After Effects to animate 3D text generated in MAXON C4D. Whether you're new to MAXON's popular 3D modeling application or are just looking to get better acquainted with Cinema 4D and its various features and functions, you're sure to enjoy this free video software tutorial. For more information, and to get started using this trick in your own Cinema 4D projects, watch this 3D modeler's guide.

How To: Generate random numbers (with decimals) in Excel

This video shows you how to generate random numbers with decimals in Microsoft Excel.When generating random numbers you must have a lower and upper limit, so that your number will be generated between the two limits. For a number without decimals, you only have to use the "=randbetween" function. If you want to use decimals, you will have to use a different but similar function. Start by typing "=rand()". Next, you multiply this by the difference between the limits and add the lower limit. Fo...

How To: Generate random numbers (integers) in Excel

1.Here 10-50 and 300-400 numbers are taken for example to generate the random numbers within the limit in Excel. We using the command of "randbetween" for generate the random numbers and we won't get the decimal or fraction values.2.Now type "=randbetween(10,50)" which means to generate the random value between the bottom value of 10 and top value of 50 and click enter now we will get 11 as random generated number.3.Do the same thing for 300-400 as "=randbetween(300-400)".You will the 303 wil...

How To: Understand compound & continuous interest

In this video the instructor talks about compound and continuous interest formula calculations. You need to understand the concepts of simple and compound interest. Only then you can understand what the bank is doing to your money which are in your bank account. Simple interest is a method where when returning a borrowed sum to some one you pay additional price for using the money all this time. Compound interest is a similar concept where you pay interest on the original sum borrowed, and al...

How To: Use controls in Little Big Planet for PS3

Get moving! Learn how to walk, run and jump your way through LittleBigPlanet. LittleBigPlanet exclusively for the PLAYSTATION 3. It lets you PLAY alone, or with friends, in a world of infinite possibilities. Run, jump, grab and swing your way thru imaginative levels and mini-games. If you're feeling creative, you can CREATE your own levels, enemies, obstacles and even storyline. Once done, SHARE them with our online community of thousands of User Generated Levels from around the world for

How To: Manage all your passwords on your iPhone

Mike Callahan from Butterscotch describes how to manage the passwords on your iPhone by using the 1Password app. The application costs $5.99 for the Pro version. First, you enter an Unlock Code to give you access to the app. The icons across the bottom of the screen correspond to different features of the app. The Logins icon stores your login information. The Wallet icon stores information about your credit and bank cards. The Passwords icon holds all your passwords. The Add icon allows you ...

How To: Host Your Own Tor Hidden Service with a Custom Onion Address

A mention of the deep web can bring to mind images of drugs, hackers, and other criminal activity. Despite the presence of these elements, the Tor network is a valuable tool for preserving privacy and anonymity. Browsing the deep web and any hidden services can be as simple as downloading the Tor Browser Bundle. In this guide, we will learn how easy it is to host our own hidden services and make them accessible via a custom onion address.

How To: Use number patterns in math

In this video the instructor shows how to identify patterns in numbers, figures, letters. When given a pattern like 1, 2, 4, 7 try to find the change in each of the successive numbers in the pattern. If you observe carefully you will notice that the difference of the second and first number is one. Similarly the difference of the third and second number is two and this pattern keeps repeating. So this pattern is generated by taking 1 and adding 1 to it. To the next number add 2 to get the thi...

How To: Inspect an electrical panel or circuit breaker

In this video tutorial, viewers learn how to properly inspect an electrical panel or circuit breaker in a house. Users should begin by taking off the cover(s) of the individual panels to see the wiring inside. Make sure the wire are connected and that there are no open or broken circuits. Users should look correlation of the circuit breaker size and the wire size to make sure the gauge of the wire can handle amp and heat that is generated. This video will benefit those viewers who want to lea...

How To: Calculate proportions and percentages in Excel

This Excel Statistics series of video shows how to calculate proportions and percentages in Microsoft Excel. This video shows how to do percentage calculations using formulas in Microsoft Excel. To make a formula for a percentage, you need to first make a formula to calculate the total sum of objects you are going to use. To do that, use the sum formula. Now, divide the current object's value with the previously generated sum formula, which gives you the frequency. When you multiply this by 1...

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