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#52 Exercises » Non - Routine Algebra » 2022-05-02 17:40:17

CurlyBracket
Replies: 37

Hi,

In this thread, I'll be posting some non-routine algebra questions.

Non-Routine Maths (alias N-R Maths) is a type of math that has little to no practical significance, but helps immensely in increasing one's mathematical mental horizon.

I'll try to post at least one question a week at the very least but don't count on me.

If you find something worthwhile which fits in this category, you're most welcome to post, but just remember to number you're questions, so it's easier to navigate.

If possible also use the bold and italics tag:

[b][i] Bold, Italic Text [/i][/b]

Result:

Bold, Italic Text

Answers (with solutions) are most welcome!!

Question 1

Let the value of a certain number be equal to 0.1234567891011121314...997998999,

The digits are obtained via writing the integers from 1 to 999 in order.

The 2016th digit to the right of the decimal point is m.

What is the value of m?

#54 Re: Help Me ! » Fastest Flowing Liquid » 2022-05-02 00:41:17

Hi Bob,

I came to the same conclusion, but in a slightly difference way. Making a list of the force which can stop the layer from increasing its speed:

1st Layer - Adhesion with pipe     Surface Tension     Cohesion

3rd Layer -                                                            Cohesion

5th Layer - Adhesion with pipe                                Cohesion    Pressure from upper layers

Since the 3rd layer is the least bothered, I conclude it moves the quickest.

Is this reasoning correct?

#55 Re: This is Cool » Library of Babel » 2022-05-01 21:35:20

If a tree falls in the forest and there's no one around to hear it fall, does it make a sound?

Ah, yes. I remember reading something along those lines in my 7th grade textbook.

It was explained most naturally by the authors, by saying that philosphers, having a tendency to be subjective, believed it will not produce any sound, while scientific people instisted it will. But now this is an important question in both fields. Is the rigid line finnally blurring?

This is the first time I have heard of The Hitch Hiker's guide to the Galaxy. It sounds interesting. I'll surely try to get my hands on a copy.

But the bit about Life, the Universe and Everything...did you make that up? Because it sounds oddly like the description of the Dark Discussions Forum.

#56 Re: This is Cool » Library of Babel » 2022-05-01 16:43:46

Does that mean that a statement is both true as well as false simultaneously, until it has been read by a specific person under specific circumstances?

I have heard of Schrödinger's cat.

If I understand rightly, the cat is both alive and dead until someone checks on it.

But what do falling trees have to do with it?

...rigidly defined areas of doubt and uncertainty.

Wow... that's as confounding as my "Exeptio probat regulam".

#57 Re: Help Me ! » The elephant in the room. » 2022-04-30 18:56:15

AlexPontik wrote:

It doesn't seem to me that you are really making sense, are you really?

smile You're words seem to be a little confusing.

In my place, we call it "going off a bouncer."

But since you're posts are unclear to me, I might as well say that you're truly excellent at playing the guitar!

#58 Re: This is Cool » Library of Babel » 2022-04-30 18:36:04

Yes, I agree.

But the factor of place, time, and even a reader can further complicate the 'truthfulness' of a statement.

Again, here's an example:

"I'm bob bundy."

Here, if you're the reader, then this statement is true.

But if anyone else reads this, it's false.

"Today is the first of May."

True for today, but from tomorrow, it's false.

"I live in the financial capital"

Might be true for a person who does live in the financial capital, but not for someone who doesn't.

So even how true a sentence or paragraph is oftentimes changes from person to person.

The truth is also flexible!

#59 Help Me ! » Fastest Flowing Liquid » 2022-04-30 18:02:44

CurlyBracket
Replies: 2

Suppose I have a liquid, which is flowing through a pipe in this direction:

ohM3F0O.png

Considering the following factors:

1. Surface Tension
2. Cohesive - Adhesive force
3. Pressure on the bottom layers exerted by the upper layers

Which layer of the liquid will move the fastest?

#62 Re: Maths Is Fun - Suggestions and Comments » Some options in the Mathopolis search are broken » 2022-04-12 22:41:22

I found another:

Topic: light             Subject: all

Returns multiple hits.

Topic: light             Subject: Physics

Returns no hits.

#63 Re: Dark Discussions at Cafe Infinity » Random Thoughts » 2022-04-06 22:10:08

yikes Funeral rearranged spells "Real Fun".
yikes You're currently the youngest you will ever be ans the oldest you ever were.
yikes Extraordinary should mean extremely ordinary... [scary music] but ... it doesn't! [/scary music]

#65 Re: Dark Discussions at Cafe Infinity » Best Way To Cool Down on MIF » 2022-04-06 21:59:34

Hi navyboy,

Yes, it's a nice way to pass the time.

Another way to access the Symmetry Artist is by simply searching for it by clicking on the magnifying glass ? !

If you want a bit of a change, I also recommend the Tessellation Artist,  which is a trifle more complex, but that just makes it more interesting.

#66 Re: Help Me ! » how do we use math in everyday life » 2022-04-06 18:14:04

Bob wrote:

One was multiplying out a 4 x 4 determinant (letters not numbers) on paper , and then re-assembling it with rows or columns swopped about.

What is a determinant?

#67 Re: Jai Ganesh's Puzzles » Algebra » 2022-04-06 17:23:58

Hi ganesh,

I hope the LaTeX works!

#68 Re: This is Cool » Library of Babel » 2022-04-06 00:31:42

Hi Bob,

As it has infinite storage, perhaps we can all use it for cloud memory.

Good idea, but a little difficult to execute! I'm still trying to understand how to navigate the library.

If only someone could come up with a way of sorting the true statements from the false.

Speaking of seperating the truth from the false information, did you know that someone I know actually invented a lie detector to be used by the police? I wonder how that works.

And also, with a little more context, I think the number of false statements will be much greater than true statements, isn't it?

The truth is rigid, and can only be true if everything is factual.

The fake is flexible.

For example, "The sun rises in the east."

This simple truth can have various falso variations, ranging from the sun rises in the west, to the sun doesn't rise at all!

#69 Re: Help Me ! » how do we use math in everyday life » 2022-04-05 18:13:06

Hi Lakretia,

Maths is essential for everyday life.

Are you sure you could survive and flourish without quantification of items?

This a short answer.

But I have a whole story for you if you're interested. Let me know if you are!

#70 This is Cool » Library of Babel » 2022-04-04 18:37:15

CurlyBracket
Replies: 30

The library of Babel is a library consisting of all the possible combinations from a to z,  and a few punctuations. Since this is not physically possible, the Library of Babel exists on the web.

It has every literal work ever written, being written or to be written and more.  In fact,  you can type anything in the search box and it WILL appear.  Even if it's a bunch of gibberish. I tried it too.  It even has mathisfunforum.com and CurlyBracket in it.

Brief History

The Library of Babel was a science fiction short story by Argentinian author Jorge Luis Borges which featured a library of the same name.

The Story's Wikipedia page wrote:

The majority of the books are pure gibberish, but the library also must contain, every coherent book ever written, or that might ever be written, and every possible permutation or slightly erroneous version of every one of those books.

The library must contain all useful information, including predictions of the future, biographies of any person, and translations of every book in all languages.

In 2015, Brooklyn author and coder Jonathan Basile, turned this idea into a website.

The Infinite Monkey Theorem

WARNING !!! The following information is completely in layman's terms. This is because I am a layman,  and I am explaining it.

If I give a (uneducated) monkey a typewriter and let it type for a reasonable amount of time, it is unlikely that the monkey will succeed in producing a single proper sentence.

But if I endeavor to give it an unreasonable amount of time, say...infinity, it will almost certainly produce a proper sentence.

In fact, it wouldn't be surprising if the monkey succeeds in typing the Merchant of Venice and all the contents of the MathsIsFun forum and website fifty times over.

In infinity, nothing is surprising because our instincts of what is probable and what is not breaks down completely. Because we are trained to be practical and reasonable, and unreasonable time scale are too complex for our intuition.

The Website

Library of Babel

#73 Re: Introductions » Hello world! » 2022-04-04 03:48:55

Hello Gornador!

That's a lot of interests/hobbies. But I suppose, the more the merrier (in one sense), eh?

I like board games too. What's your favourite?

#74 Re: Introductions » Hi » 2022-04-04 03:47:12

Hello 0G74,

Welcome to the forum! I'm sure you'll have a brilliant time here!

#75 Re: Guestbook » Favorite Subject? » 2022-04-04 01:17:38

Hi,

I enjoy learning about Physics, Maths, English very much.

But I think all the other subjects all subjects share the same status: they're fun!

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