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:

1. A mismatch between 是个... and the third item 整数系数的 ("has integer coefficients"), but maybe this is okay.
2. 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"?

Answer 1

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。

Answer 2

"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.

Answer 3

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.