ex) There are two pins on the table.

In this sentence, is 'there' is a derived adverb?

[Second question]

1. Singular indefinite pronouns use singular verbs: e.g., anyone, anybody, each, either, none

2. Singular indefinite pronouns use singular verbs: anyone, anybody, each, either, and none

3. Singular indefinite pronouns use singular verbs: anyone, anybody, each, either, none

4. Singular indefinite pronouns use singular verbs such as anyone, anybody, each, either, none

5. Singular indefinite pronouns use singular verbs like this : anyone, anybody, each, either, none

Among the five patterns, which one is grammatical?

Of those five examples, none are correct; the examples come right after the word "verbs" -- however, they are not showing examples of verbs, but of the indefinite pronouns.

http://grammar.ccc.commnet.edu/grammar/sv_agr.htm

The word "there" has several uses:
http://www.answers.com/there (from the American Heritage Dictionary)

To answers the first question, 'there' in the sentence "There are two pins on the table" is not a derived adverb. 'There' in this sentence is used as a pronoun that introduces the existence or presence of something. It is not modifying an action or verb, therefore it is not an adverb.

For the second question, all of the options provided have correct grammar but differ in style and punctuation. Here is a breakdown of each option:

1. Singular indefinite pronouns use singular verbs: e.g., anyone, anybody, each, either, none
- This option uses "e.g." to introduce examples of singular indefinite pronouns and shows correct usage of a colon before the list of examples.

2. Singular indefinite pronouns use singular verbs: anyone, anybody, each, either, and none
- This option lists the examples of singular indefinite pronouns using a comma before the coordinating conjunction "and." It is also grammatically correct.

3. Singular indefinite pronouns use singular verbs: anyone, anybody, each, either, none
- This option is similar to the previous one, but it omits the comma before the coordinating conjunction "and." While this is still grammatically correct, the use of a comma can improve readability by separating the items in the list.

4. Singular indefinite pronouns use singular verbs such as anyone, anybody, each, either, none
- This option introduces the list of examples using the phrase "such as" before the examples. It is grammatically correct, but the use of a colon or comma may be more common.

5. Singular indefinite pronouns use singular verbs like this: anyone, anybody, each, either, none
- This option uses "like this" to introduce the examples and includes a colon to separate the introduction from the examples. It is also grammatically correct and provides a clear separation between the introduction and the examples.

In summary, all of the options are grammatically correct, but option 1, 2, 3, and 5 are commonly used in writing. The choice between them depends on personal preference and the desired style of writing.