Understanding Domain and Range Part 1

The domain of a function is the set of x-coordinates of the points in the function. The range of the function f is the set of y-coordinates of the points in the function. So if we have a function f with points (-3, -2), (-1, 3), (2, 3), and (5,4), then the domain of the function f is the set {-3, -1, 2, 5} and the range of f is the set {-2, 3, 4). Graphically, we can say that the domain is the  “projection” of the points to the x-axis (see red points in the following figure).

domain

The range of f is the projection of the points to the y-axis (see green points in the following figure).  Continue reading…

 

Understanding Radian Measure

A circle O has its center placed at the origin. Let A be its intersection with the x-axis at (1,0) and P be another point on its circumference. If we move P along the circumference of the circle, then we can determine the distance traveled by P. If we let A be the starting point of P as it moves counterclockwise, then the distance traveled by P is the same as the length of arc AP represented by the red arc in the following figure.

radian 2

To be able to know the length of arc AP, we must know the length of the total distance from A going counterclockwise and back to A  (i.e. complete revolution). That is, we need to find the circumference of the circle. Since a unit circle has radius 1 unit, its circumference C is  Continue reading…

 

Recognize Handwritten Equations with MyScript MathPad

Years ago, I shared about Web Equation, a website that lets you hand write equations and solve them via Wolfram Alpha. In this post, I am going to introduce to you another handwritten equation recognition app, the MyScript Mathpad.

MyScript Mathpad is a handwriting recognition app specialized for mathematics expressions. MyScript Mathpad automatically converts handwritten mathematical expressions and equations to their digital equivalent. It can recognize more than 200 symbols and operators.

MyScript Mathpad

via iTunes

Equations created with MyScript Mathpad can be exported to Latex and MathML.  It can also be shared through Twitter, Facebook, Google+ and other social media.

There are two features that I like about MyScript Mathpad. The first one is its scratch-out and strike-through gesture editing.  If you want to delete something, all you have to do is to scratch-out the expression you want and it’s gone. The second one is its support for left-handed persons.

MyScript MathPad is compatible with iPad, iPhone, and iPod Touch running in iOS 6.0 or later.

It’s FREE!

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