In my bullet list, is ...是个... [something]的 problematic, and do I need an "and"?

Question

From my talk's slides, I have:

先结论...

对于给定m（即为确定的元素数量），m! #PLR(r,s,n;m)是个
- 三元多项式，
- 对称多项式(即#PLR(r,s,n;m)=#PLR(s,r,n;m)等)，
- 整数系数的，
- 3m次多项式。

(I have some students here helping me debug this, but it's mostly my writing.)

I'm happy with the content, but I'm not comfortable with the grammar. I'm concerned about two things:

A mismatch between 是个... and the third item 整数系数的 ("has integer coefficients"), but maybe this is okay.
The lack of an "and" here (we would normally include it in English).

Question: In my bullet list, is ...是个... [something]的 problematic, and do I need an "and"?

Not so sure what's your question. Why not put them in one line, say 整系数的三次多项式. Besides, 先结论？It should be 先给出结论. 先结论 is unacceptable grammar. — , Jul 09 '18 at 09:36
Then say -整系数多项式 -3m次多项式. No "and". You're not actually making a sentence. You're using red arrow list symbols. — , Jul 09 '18 at 09:43
I was just a little bit wondering that as in your another question you defined notation PLR(r,s,n;m) to be a subgraph but here obviously you r using operator # to calculate the cardinality, which means notation PLR(r,s,n;m) is the set of subgraphs with such properties. I don't know whether It's okay, or maybe you have considered this issue, then I am sorry for my question. — Toosky Hierot, Jul 10 '18 at 01:21
PLR(r,s,n;m) is the set of partial Latin rectangles (a kind of combinatorial matrix), and each partial Latin rectangle has a correspondence with an m-vertex n-colored subgraph of K_r□K_s (which arises in the other question, looking at the right-hand side as a 3 by 4 matrix). To save notation, we also use PLR(r,s,n;m) as shorthand to refer to a member of PLR(r,s,n;m). And, yeah, I just add # in front to mean "the number of". [These are talk slides: So I aim to minimize text, and explain things verbally.] — Becky 李蓓, Jul 10 '18 at 01:57
Related: Is the use of a conjunction between the second-last and last word in a list a natural Chinese construction? (E.g. 現在我兼任總經理、技術官和財務官。) — Becky 李蓓, Aug 09 '20 at 01:00

score 2 · Answer 1 · answered Jul 09 '18 at 13:34

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I have read the comments and reply, then I would like to give a demo in my way. We can discuss it.

首先给出结论（This indicate that we will prove it in later slides...）

对于给定的m（即为确定的元素数量），多项式m! #PLR(r,s,n;m)具有以下特点：

是三元多项式，

是对称多项式(即#PLR(r,s,n;m)=#PLR(s,r,n;m)等)，（I'm just curious, what do you mean by 等 here? Does it mean #PLR(r,s,n;m)=#PLR(r,n,s;m) and so on?）

是整数系数多项式，

是3m次多项式。

answered Jul 09 '18 at 13:34

Bruce Huang

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(a) actually it was proved on previous slides, we prove more on subsequent slides (for which I need these intermediate conclusions); is this a problem? (b) I didn't want to write #PLR(r,s,n;m)=#PLR(s,r,n;m)=#PLR(n,r,s;m)=#PLR(r,n,s;m)=#PLR(s,n,r;m)=#PLR(n,s,r;m) in full, as it's a property of symmetric polynomials (称多项式) (c) I see I've left off a 的. – Becky 李蓓 Jul 09 '18 at 13:52
(a) OK, not a big problem. But we use 首先 or 先, sometimes it will indicate something will happen later... Anyway, it depends on context. (b) Make sense. (c) Still not a big problem, but just a little bit weird when I read this... – Bruce Huang Jul 09 '18 at 14:00
symmetric polynomials 对称多项式。“称多项式” means "It is named 多项式"。 – Bruce Huang Jul 09 '18 at 14:40
具有如下特点 -> 具有如下性质 – tsh Jul 16 '18 at 02:10

score 1 · Answer 2 · answered Jul 09 '18 at 12:13

"先结论" is too much colloquial.And even in a colloquial situation,this expression is kind of confusing and impolite from my perspective though we will use it sometimes.

“是整系数多项式” or “是个整系数的多项式” 。 There is no such a structure as “是个……的” in the 普通话's grammer.

"and" is not necessary.

score 1 · Answer 3 · answered Jul 10 '18 at 00:59

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I ve made great adjustments

先给结论:

对于元素数量m给定的情况，m!#PLR(r,s,n;m)具有如下性质:

为r,s,n三元多项式，
为关于r,s,n的对称多项式(即给r,s,n的任意排列依次替换原变量，多项式不变)，
为整系数多项式，
为3m次多项式。

These changes are made according to my received tradition in math class.

answered Jul 10 '18 at 00:59

Toosky Hierot

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Good. But I still insist on using "先给出结论". And "对于给定的元素数量m" sounds formal. – Bruce Huang Jul 11 '18 at 15:05

In my bullet list, is ...是个... [something]的 problematic, and do I need an "and"?

3 Answers3