Time flies...

Wow!
Such a long time and no writing. That's not good.
I still love mathematics. I guess I've been so busy with it, that I haven't had time to get to this blog.

But I'll definitely make more time for it.
I'm now entering my final year of studying, then I'll get my degree!
After that I'm not sure yet, but maths stays on my mind...
I also plan on moving, but we'll see.

Happy festive season!

Living in two dimensions

Living in two dimensions would surely give rise to a monotonous and dull world. It would be flat, without texture (literally) and uninteresting. Maybe then we would all just be normal shapes, depending on species and size. Possibly there would still be colours, although it would have to be dull, because there is no room for shadows or splashes of light in two dimensions.

Every shape would move differently and the bigger the shape, the more careful it would have to move since it could easily get stuck between obstacles, which are made more complex because of the flatness that causes the shapes not to be able to see over anything. But then again, will they see? Or merely sense? Seeing would be a waste, they will only see lines and possibly colours, no depth.

Movement would be confined to the compass directions, no going up or down. There would be no wind, no rainbows, no rain, no water, no fire.

There would really be nothing to do, or would there? Trading three dimensions for two seems not to be a fair trade at all. Does it even make sense to think this way?

The number 25

My favourite number!
I'm not entirely sure as to why... So I thought I would see what is interesting about it.

It divides into 100: 4 x 25 = 100
5 divides into it 5 times
25 = 5 squared
The root of 25 is 5
Reversing it, i.e. 52, it represents the numbers of weeks in a year
2 times 5 = 10 : A nice round number

I found some very cool facts on the web: click here

Considering all these facts, I still like 25 the most.

Elementary Mathematics

Whilst elementary math may be the simplest and easiest of all mathematics, I believe it is the most important, because it is the foundation, it is the building blocks of mathematics. Without it one will never be able to do any other math.

Just imagine not knowing 1 + 1 = 2 or 1 x 1 = 1. Is there anything you will then be able to know and understand? Probably not.

Some methods used to teach elementary math:
- Flashcards

- Games

- Worksheets

- and many more

For more information click here.

Vacation Time

I wish! But still, one can dream.
What I have in mind is waves, of the ocean.

Now I'm thinking, the next time I'm sitting on the beach staring out over the ocean, will this equation pop into my thoughts? I doubt it, but if it did: Will it be good or bad?

Well who likes to get those brainwaves going on vacation?
So it's probably a bad thing, unless you're very bored... which I doubt.

So how does the above mentioned equation work? This might give you some idea:

The wave equation is the important partial differential equation

that describes propagation of waves with speed . The form above gives the wave equation in three-dimensional space where is the Laplacian, which can also be written

An even more compact form is given by

where the first variable is the d'Alembertian, which subsumes the second time derivative and second space derivatives into a single operator.

The one-dimensional wave equation is given by

As with all partial differential equations, suitable initial and/or boundary conditions must be given to obtain solutions to the equation for particular geometries and starting conditions.

(Weisstein, Eric W. "Wave Equation." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/WaveEquation.html)