Pascal's Triangle in Python for Computer Science: GCSE, IGCSE and A Level

-

Pascal's Triangle with Python
Pascal's Triangle with Python



 

Pascal's Triangle in Python

The above simulation is produced in Python with aid of three functions.

They are as follows:
  1. Factorial function 
  2. A function to generate combinations - nCr
  3. A function to produce the Pascal's Triangle
You can practise it interactively with the following simulation. Please make sure you keep the number of rows below 10 so that the format of the output stays the way it should.

The number of rows is the only parameter that Pascal(n) function needs.

Comments

Post a Comment

Popular posts from this blog

Phase Difference between Two Points on a Wave and Path Difference Explained - interactive

-
Image
  In the above animation, five points on the wave are considered for the explanation.  The fully interactive applet is given below for you to practise. The phase of a point implies its direction of vibration on a wave. For example, both points A and E vibrate exactly the same way are said to be in phase: when A goes up so does B; the phase difference is either 0 0 or 360 0 . If you consider the motion of points A and C, on the other hand, when A goes down C goes up or vice versa. Therefore, A and C are said to be out of phase; the phase difference is 180 0 . That means the phase difference between two points on a wave - or two waves for that matter - can take any value between 0 0 and 360 0 .  The phase difference between points A and B, for instance, is 90 0 . From the above examples, it is clear there is a connection between the path difference between two points - or two waves - and phase difference. It is as follows: Phase difference = (path difference / wavelength) x 360 φ = x
Read more

Frequency Amplitude and Wavelength of a Transverse Wave - simulation

-
Image
Waves A wave carries energy from a point to another point in a medium / vacuum without the movement of the particles along with it. In the above animation, the wave moves from the left to the right; the particles, however, just vibrate vertically without moving along with the wave. Transverse Waves If the direction of the wave is perpendicular to the vibration of particles, it is called a transverse wave. E.g. Water waves, radio waves, microwaves Amplitude The maximum displacement of a particle in a wave is called amplitude. Intensity / loudness The intensity / loudness of a wave is proportional to the square of the amplitude. The greater the amplitude, the greater the intensity / loudness. Amplifier This is what an amplifier does: it increases the amplitude of an input signal, which in turn leads to the increased loudness or intensity. Frequency  - f The number of cycles of a wave that passes through a point in a unit time is called frequency. Wavelength  - λ The distance between
Read more