Archive for the ‘Graphs’ Category

How To Draw Best Fitting Straight Line

Saturday, May 31st, 2008

In graph analysis, we are normally given a set of co-ordinates to plot and extract the important parameters from the straight line drawn. The data given are mostly random values that may not be lying on a straight line. Therefore the technique of drawing this straight line on the graph becomes a ...

How To Get Gradient and Intercept from Two Points

Monday, May 26th, 2008

Gradient and intercept are two key items to a straight line expression. In maths, to obtain the equation of a line from two given co-ordinates, we inevitably think of graph plotting. This is one good way to obtain the answer by finding the gradient and intercept. Let's take an example. 2 points:   (1, 5)  and ...

Leading and Lagging Sine wave

Saturday, March 8th, 2008

In maths, if we practice well with understanding, we will surge forward in our learning, leading the others and gaining valuable knowledge. However, if we take it easy, trying to buy time and not learning seriously, our maths learning will lag behind others. In trigonometry, sine waves do perform the same. If an energetic, excited ...

Argand Diagram - Complex Number In Graphical Form

Thursday, March 6th, 2008

Complex numbers, which are  imaginary roots to equation, can be represented in a special graph called the Argand diagram. An example of complex number 4 + i3 is illustrated graphically below in Diagram 1. Diagram 1 This Argand Diagram represents both the Real number (horizontal axis) and Imaginary number (vertical axis) in a ...

How To Identify Type Of Roots In An Equation

Wednesday, March 5th, 2008

If we are asked to solve mathematical equations that equal to zero, the objective is to find their roots. Roots are those numerial answers to the variable in the math equations. Example:  Solve x2+2x+1 = 0. Solution: x2+2x+1 = (x - 1)2 = 0 This gives us x = 1 as the answer. This x = 1 ...

How Can Graph Be Used As An Analytical Tool

Tuesday, March 4th, 2008

Graph can be used in many ways. It can be used to show the trend of an event, it can solve unknowns as in simultaneous equations,  it can identify the value of minimum or maximum points, and many more usages. One important purpose of graph, however, is its ability to reflect the ...