The indefinite articles a, an are used with singular count nouns whose identity is unknown. When the noun begins with a vowel sound, an is used instead of a .
Examples:The actual disk is unknown to you. Note that the article a refers to the disk, not the color blue --- modifiers (adjectives) may intervene between an article and the noun it marks. To check whether the noun is a count noun, replace a by the word ``one''; the sentence should still make sense.
In this case the `h' in hour is silent so it takes on the vowel sound of `our'. While an is used with many nouns that start with a vowel, an umbrella, this is not always the case: a unit
Use the with nouns whose identity is known to the reader, or with singular noncount nouns.
Examples:The briefcase identifies the specific disk so the identity of the disk is now known to the reader.
See the exception note above.
The comma [ , ] is used to alert the reader that you are about to introduce something new into the current sentence. In effect, you are giving the reader a brief mental pause before moving onto the next piece of information. From the reader's perspective, this allows the current piece of information to be interpreted. Prior to this point, the reading process was simply an accumulation of the information as you presented it. The reader is now ready to accumulate the next piece of information. The following examples illustrate some common situations where you need to employ commas.
A comma is needed after design since we do not want the reader to randomly design their own treatments!
A comma is needed after model. We want to the reader to know ``when'' they should plot the data.
Commas provide an efficient way to present three or more related items in a series. To write a separate sentence for each diagnostic is cumbersome and repetitious.
Parenthetical afterthoughts should be set apart by commas. Since these asides interrupt the flow of a sentence, they should be avoided where possible. Try to rewrite the sentence or use two sentences instead. For example, the above statement could have been written as: Using ... on, the ARMA(1,1) provided ...
Commas can't help bad writing!