Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**Amartyanil****Member**- Registered: 2013-05-27
- Posts: 39

Hi;

All things on a planet or a sattelite, that we see straight are actually curved and the things that we see curved are actually straight!

"The most incomprehensible thing about the universe is that it is comprehensible." -Albert Einstein

Offline

Explain...

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

Offline

**Amartyanil****Member**- Registered: 2013-05-27
- Posts: 39

The theory of curveness is true because any planet, satellite or star are always spherical in shape.

Things on a planet, satellite or a star that we see straight are actually curved because when we come beyond the planet, we see the thing curved. E.g., the great wall is straight on it upper or the lower surface, beyond it's planet we see that the great wall is curved.

"Things on a planet, satellite or a star that we see curved are actually straight", this theory is right or wrong, I cannot prove it.

"The most incomprehensible thing about the universe is that it is comprehensible." -Albert Einstein

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Well, nothing is exactly straight. Do you have some kind of a definition of a real world straight line?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

Definition: A figure is said to be straight (in a three dimensional space) if the two endpoints of the figure are at minimal distance.

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

Minimal as compared to?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

It is the least possible distance and only one such configuration exists.

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

The "least possible distance" depends on the metric used. Each space has it's own metric.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

Offline

What is a metric?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

It's a function that assigns values to distances. It also has to satisfy a few properties, but those are not important for what we're discussing.

Here lies the reader who will never open this book. He is forever dead.

Offline

In the 3D space, I can only concieve of one kind of distance. Please explain if there exists others

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

Offline

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,886

The one you are thinking of is called the Euclidian distance. There exist others. There is quite a bit on this on the net.

Here lies the reader who will never open this book. He is forever dead.

Offline

With what keyword should I search for?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'Humanity is still kept intact. It remains within.' -Alokananda

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 83,251

http://en.wikipedia.org/wiki/Metric_%28mathematics%29

The term is used a lot in vector analysis and differential geometry.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

Offline

Pages: **1**