Posted in Science & Nature

## Mathematical Beauty

What is the most “beautiful” mathematical equation? For millenia, many mathematical formulas and concepts have been described as beautiful (and some defining beauty, as the golden ratio does). In the mathematical world, the adjective “beautiful” is used in the sense that certain mathematical concepts, despite the fact they are rational and objective, are so pure, simple and elegant that they can only be described as art.

One such formula is Euler’s identity:

Renowned physicist Richard Feynman described it as “the most remarkable formula in mathematics”. What makes this array of symbols and numbers so beautiful? Firstly, it contains the three basic arithmetic operations exactly once each: addition, multiplication and exponentiation. It also connects five fundamental mathematical constants with nothing other than themselves and the arithmetic operations.

0 is the additive identity, as adding it to another number results in the original number. 1 is the multiplicative identity for the same reason as 0. Pi(π) is one of the most important mathematical constants in the history of mathematics that is ubiquitous in Euclidean geometry and trigonometry. Euler’s number(e) is the base of natural logarithms and is used widely in mathematical and scientific analysis. i(√-1) is the imaginary unit of complex numbers, a field of imaginary numbers that are not “real”, allowing for the calculation of all roots of polynomials. Euler’s identity neatly sums up the relation between these five numbers that are so crucial in the field of mathematics. It is also interesting to note that these five numbers were discovered at different points in history spanning over 3000 years.

Some people describe mathematics as a distinct language in itself. Not only that, but mathematics is considered the universal language as it is both universal and ubiquitous. If that is the case, than Euler’s identity can be considered an extremely pithy literary masterpiece.

Posted in Life & Happiness

## Communication

What I am thinking,

What I want to say,

What I think I am saying,

What I say,

What you want to hear,

What you think you are hearing,

What you hear,

What you want to understand,

What you think you understand,

What you understand,

Because there are ten possibilities between what I think and what you understand, there is great difficulty in our communication.

But even so, we must try.

Posted in Psychology & Medicine

## I…

It is human nature to want to know more about another person. However, ironically most people know less about themselves than they know others. The following is a simple psychological test that tells you about your true self.

Complete as many sentences as freely as you can, writing down whatever comes to your head. You have 5 minutes: (e.g. I am a male, I attend university)

1. I _____________________
2. I _____________________
3. I _____________________
4. I _____________________
5. I _____________________
6. I _____________________
7. I _____________________
8. I _____________________
9. I _____________________
10. I _____________________
11. I _____________________
12. I _____________________
13. I _____________________
14. I _____________________
15. I _____________________
16. I _____________________
17. I _____________________
18. I _____________________
19. I _____________________
20. I _____________________

This test is very useful as it is simple yet accurately portrays the subconscious mind and inner self. It is especially used in adult psychiatry consultations as answers become more subjective and creative as the subject’s age increases.
According to a study, from about number 10 the answers show the person’s wants and potential, and from 15 onwards subconscious desires and concerns. Ergo, answers become more accurate in their depiction of the true self as you fill in the lines.

The responses are sorted into six main categories:

1. Social status (I am an employee of…)
2. Faith (I am sure that justice will always win in the end)
3. Desire (I want to be rich)
4. Likes (I like watermelons)
5. Judgement (I am stubborn)
6. Blank (nothing written)

Interestingly, nothing shows more than you expect. For example, those who do not finish all twenty lines tend to be authoritative. This is because they show a tendency of seeing the world as black or white, or good or evil and cannot stand fuzzy, “grey” statements. Therefore, their view of their self tend to be simplistic, making their answers less detailed.

Now, let us explore the world of the inner self and the subconscious mind. For a more objective analysis of yourself, ask someone else to scrutinise your answers.

Posted in Philosophy

## The Difference Between You And I

If you do it, it’s verbal abuse;  if I do it, it’s humour.
If you do it, it’s an affair;  if I do it, it’s romance.
If you do it, it’s graffiti;  if I do it, it’s art.
If you do it, it’s showing off;  if I do it, it’s romance.

If you do it, it’s being drunk;  if I do it, it’s entertainment.
If you do it, it’s foolish;  if I do it, it’s romance.
If you do it, it’s a lie;  if I do it, it’s the truth.
If you do it, it’s a scandal;  if I do it, it’s romance.

If you do it, it’s wasting time;  if I do it, it’s resting.
If you do it, it’s stalking;  if I do it, it’s romance.
If you do it, it’s your fault;  if I do it, it’s your fault.
If you do it, it’s insane;  if I do it, it’s romance.

If you do it, it’s impossible;  if I do it, it’s possible.