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What can be a one word for something which is not very advanced but is still interesting and elegant? I would be using this word in context for some math article I want to write.

Shorter and accurate words would be preferred. Thanks :)

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Elegant is the word mathematicians would use, and shorter is almost always more elegant, provided the same generalizations are captured -- and whenever possible proven -- as in any longer version. – John Lawler Mar 22 '14 at 17:20
@JohnLawler Elegant however, generally does not refer to elementary I think. – Sawarnik Mar 22 '14 at 17:21
The most elegant proof I've ever seen is Euclid's on the infinity of primes. And it's one of the most elementary. – John Lawler Mar 22 '14 at 17:29
Elegance is a synonym for beautiful that has come to acquire the additional connotations of unusual effectiveness and simplicity. And in OP's context we can reasonably suppose that beautiful = interesting. – FumbleFingers Mar 22 '14 at 17:58
How about 'logical' – Danield Mar 23 '14 at 12:55
up vote 6 down vote accepted

You might say it has elegant simplicity.

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Consider neat as in "a neat proof."

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Simple, clear, and synonyms thereof.

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I think that this doesn't describe the interest in the subject. If I say that something is simple it usually means that it doesn't interest me. – Jacob Mar 22 '14 at 22:34

In mathematics both integral [below] and functional could be used for a core mathematics class.

necessary to make a whole complete; essential or fundamental.

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This is not what I mean actually. I meant mathematics which is not very advanced, which doesn't relate to how easy it might be. Infact, it might not be effortless at all. – Sawarnik Mar 22 '14 at 17:34
I would update your question. Elementary math is really easy for most. – RyeɃreḁd Mar 22 '14 at 17:37
In physics and other sciences, "fundamental" is interesting. – ChrisW Mar 22 '14 at 23:04

Elemental means basic and important; having the power of a force of nature.

The word conveys the sense that there is something essential or significant, while at the same time being basic or simple.

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Visually pleasing, less brainstorming, cleaner, slim, easily digestive, simple, etc.

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Less brainstorming and easily digestive sound odd. Shouldn't the second be digestible or easily digested? – Mari-Lou A Mar 23 '14 at 9:55
@Mari-LouA Thanks for the comment. Sure your makes more sense :) – Helder Novais Mar 23 '14 at 12:26

Maybe "tidy"? As in "We can build upon this tidy conclusion by ..."

I agree with @MattEckert that "neat" would be good, but I some younger readers might confuse it for the colloquial "neat-o". You could convert that to an adverb: "This neatly illustrates the point that ..."

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Perhaps economical? it can be used to refer to proofs as having few steps, but still has a positive connotation (if not one of elegance, per se).

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Umm, I dont see how it relates to being not very advanced or interesting. – Sawarnik Mar 22 '14 at 17:42

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