There is no/not?

Interesting question. I DON'T HAVE ANY absolute answers, but I HAVE SOMEcomments. I also HAVE NO absolute answer.

First, we can say "There isn't any/a", but we cannot say "There is no any/a". "Any/a" can be used with countable nouns, but we can't with "no" (ex. "There is no restaurants here."). Compare this with "There aren't any restaurants here." This is where these two forms meet. We have to change "is" to "are" ("There are no restaurants here" and "There aren't any restaurants here.")

To me, using "There is no" has a more concrete aspect to it ("There is no school today"). "There isn't any school today" sounds like there could be several schools, but we don't have to go to any of them today. In reality, we probably only go to one school, so even though "school" is countable it holds a quasi-noncountable quality to it.

Let's look at it the other way around. "There is no milk in the fridge". In this case, and in English books, I have only seen chapters where they try to get students to say "There isn't/aren't any". 

However, in certain cases, I think "There is no" would be perfectly fine. If both people are aware of what is being talked about, like with definite articles, then "There is no" would have more relevance.

A: Can you get that milk we bought yesterday out of the fridge?
B: Ok. I am looking, but there is no milk.

If one of the speakers doesn't know, "There isn't any" would have more relevance.

A: I am thirsty, can I have something to drink?
B: Ok. There is some orange juice and apple juice in the fridge, but there isn't any milk."

In conversation though, we treat them the same with a few exceptions.

"There is no turning back" / "There isn't any turning back(???)"
"There is no place like home" / "There isn't any place like home (???)"
"There are no cats" (???) / "There aren't any cats" - If the number is zero, then you only need to state there isn't 1, and logically "There are no cats" could just convey "There aren't 2 cats or more". It doesn't preclude there being 1, even though we usually assume it's zero.
"There are no tires in the trunk" / "There aren't any tires in the trunk" - This is the same as the school example. We would only have one tire, so as the cat example isn't clear enough, "There aren't any" goes too far conveying "There isn't the spare tire we would normally find, and there isn't another one either which we would never account for".

“More clear” vs “Clearer”: when to use “more” instead of “-er”?

“More clear” vs “Clearer”: when to use “more” instead of “-er”?

The basic rules of forming comparatives:
One syllable words take -er:
clear -> clearer
sweet -> sweeter
Multisyllable words take "more":
incredible -> more incredible (not "incredibler")
horrible -> more horrible (not "horribler")
Two-syllable words ending in consonant + y take "ier":
happy -> happier
pretty -> prettier
Both "more clear" and "clearer" are acceptable:
Your answer is more clear than mine.
Your answer is clearer than mine.
I would have thought that "clearer" was more common, but I find "more clear than" is actually much more common on Google than "clearer than".

a lot better or much better?

a lot better or much better? 

which one right?

Just Googled for a while. It seems that 'much' can be a modifier while 'a lot' cannot.

For the quiz, 
He speaks ____ better than Mary . 
A.a lot      B.much

You have to choose A, rather than B. 

However, when there is no 'then', it seems that 'a lot better' is common.

Examples: 

Much

Mary sings much better than Helen.
Her handwriting is much better than mine.

a lot better: 

I feel a lot better, thanks for asking.
"We can use a lot better science," he said."
I could have done a lot better.

If I am wrong, please leave a message and correct me. Thanks. 

About the date

Writing date
About date, there are there different writing ways. Except British English and American English, another one is written entirely in figures. The examples are as follows.
2 July 2006 (BrE)-----2.7.06
July 2, 2006(AmE)-----7.2.06

Speaking date
20 April 1981=" April the twentieth, nineteen eighty-one"( AmE also" April twentieth…")or "the twentieth of April, nineteen eighty-one"
1300=" thirteen hundred"
1508="fifteen  hundred and eight" or "fifteen O eight"
1678="sixteen(hundred and) seventy-eight"
1810="eighteen (hundred and) ten"
2000="two thousand"
2008="two thousand and eight"

BC and AD
BC= Before Christ, AD=Anno Domini-Latin for "in the year of the Lord". BC follows the date; AD can come before or after it.
   55BC, or AD 55/ 55AD


as…as and as much/many as

as…as is used to say things are equal in some way. It also has another variant structures.
1. negative structure. After not, we can use so…as instead of as…as.
   She's not as/so kind as he is.
2. as…as+ adj/adv
   You are as beautiful as ever. Please come back as soon as possible.
3. as much/many…as  to talk about quantity.
  We need as much food as possible.
  I ate as much as I could.(without following nouns)
4. as much as 80kg means the large amount/quantity, or as little as 80kg means the small amount/quantity.
  Some of these pigs can weight as much as 300kg.
5. half/twice/three times+as…as
  It took twice as long as I expected.
6. (not) nearly, almost, just, nothing like, every bit,exactly, not quite +as …as
  He's not quite as tired as I was yesterday.

Also some tips we need to pay attention.
1. pronouns after as.
   She doesn't speak English as well as me.(informal style: we can use object pronouns)
   She doesn't speak English as well as I do.(formal style: we prefer subject +verb)
2. when is used with two infinitives, the second is often without to.
    It's as easy to do it right as (to) do it wrong.
3. In as…as-clauses, a present tense is often used to refer to the future, and a past tense can have a conditional meaning.
   I'll get there as soon as you do.