a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and...

99
The and a “The” vs “a/an” “A” vs “An” Exercise Class 8: Guidelines for using articles With material from “Writing Scientific English” by Tim Skern The and a

Transcript of a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and...

Page 1: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise Class 8: Guidelines for using articlesWith material from “Writing Scientific English” by Tim Skern

The and a

Page 2: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.

In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 3: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc.,

the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 4: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word)

for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 5: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form,

and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 6: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 7: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the

definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 8: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used,

for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 9: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form.

The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 10: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences,

may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 11: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence,

or may beimplicit in the meaning of the noun.

The and a

Page 12: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”

Most nouns in English in their singular form require an article;we will discuss exceptions from this rule later.In order to address an unspecified object, property,phenomenon, etc., the indefinite articles “a” or “an” are used(depending on the pronunciation of the word) for nouns insingular form, and no article at all for nouns in plural form.

In order to address a specified object, property, phenomenon,etc., the definite article “the” is used, for both the singular andthe plural form. The specification may have been given in earliersentences, may take place in the same sentence, or may beimplicit in the meaning of the noun.

The and a

Page 13: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room.

The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments. Most of the time,the experiments in the series were inconclusive. However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X. Next, we choose aclosed subset of the space X.

The and a

Page 14: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room. The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments. Most of the time,the experiments in the series were inconclusive. However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X. Next, we choose aclosed subset of the space X.

The and a

Page 15: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room. The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments. Most of the time,the experiments in the series were inconclusive. However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X. Next, we choose aclosed subset of the space X.

The and a

Page 16: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room. The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments.

Most of the time,the experiments in the series were inconclusive. However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X. Next, we choose aclosed subset of the space X.

The and a

Page 17: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room. The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments. Most of the time,the experiments in the series were inconclusive.

However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X. Next, we choose aclosed subset of the space X.

The and a

Page 18: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room. The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments. Most of the time,the experiments in the series were inconclusive. However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X. Next, we choose aclosed subset of the space X.

The and a

Page 19: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room. The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments. Most of the time,the experiments in the series were inconclusive. However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X.

Next, we choose aclosed subset of the space X.

The and a

Page 20: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“The” versus “a/an”: examples

There is a big chaos in my daughter’s room. The chaos inthis room is amazing.

The government imposed a curfew.

They conducted a series of experiments. Most of the time,the experiments in the series were inconclusive. However,the ultimate experiment supported a longstandinghypothesis.

We fix a compact topological space X. Next, we choose aclosed subset of the space X.

The and a

Page 21: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

About specification

Even if an object is unique,

it can still be unspecified at themoment we first address it:

The Banach Fixed Point Theorem shows the existence of aunique fixed point of the function f . The fixed point wehave found is a root of the polynomial p. We leave it tothe reader to show that it is in fact the unique root withthe required properties.

The and a

Page 22: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

About specification

Even if an object is unique, it can still be unspecified at themoment we first address it:

The Banach Fixed Point Theorem shows the existence of aunique fixed point of the function f . The fixed point wehave found is a root of the polynomial p. We leave it tothe reader to show that it is in fact the unique root withthe required properties.

The and a

Page 23: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

About specification

Even if an object is unique, it can still be unspecified at themoment we first address it:

The Banach Fixed Point Theorem shows the existence of aunique fixed point of the function f .

The fixed point wehave found is a root of the polynomial p. We leave it tothe reader to show that it is in fact the unique root withthe required properties.

The and a

Page 24: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

About specification

Even if an object is unique, it can still be unspecified at themoment we first address it:

The Banach Fixed Point Theorem shows the existence of aunique fixed point of the function f . The fixed point wehave found is a root of the polynomial p.

We leave it tothe reader to show that it is in fact the unique root withthe required properties.

The and a

Page 25: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

About specification

Even if an object is unique, it can still be unspecified at themoment we first address it:

The Banach Fixed Point Theorem shows the existence of aunique fixed point of the function f . The fixed point wehave found is a root of the polynomial p. We leave it tothe reader to show that it is in fact the unique root withthe required properties.

The and a

Page 26: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Articles clarify the logic

Consider the (Polish, but not English) sentence

Rational number n has a multiplicative inverse.

The author made a mistake if he meant to say “A rationalnumber n has a multiplicative inverse”, as this is stating thatevery rational number n has a multiplicative inverse (but 0 doesnot).Hence the sentence should be “The rational number n has amultiplicative inverse” and should refer to a range of nonzerorational numbers n previously specified.

The and a

Page 27: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Articles clarify the logic

Consider the (Polish, but not English) sentence

Rational number n has a multiplicative inverse.

The author made a mistake if he meant to say “A rationalnumber n has a multiplicative inverse”, as this is stating thatevery rational number n has a multiplicative inverse (but 0 doesnot).Hence the sentence should be “The rational number n has amultiplicative inverse” and should refer to a range of nonzerorational numbers n previously specified.

The and a

Page 28: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Articles clarify the logic

Consider the (Polish, but not English) sentence

Rational number n has a multiplicative inverse.

The author made a mistake if he meant to say “A rationalnumber n has a multiplicative inverse”,

as this is stating thatevery rational number n has a multiplicative inverse (but 0 doesnot).Hence the sentence should be “The rational number n has amultiplicative inverse” and should refer to a range of nonzerorational numbers n previously specified.

The and a

Page 29: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Articles clarify the logic

Consider the (Polish, but not English) sentence

Rational number n has a multiplicative inverse.

The author made a mistake if he meant to say “A rationalnumber n has a multiplicative inverse”, as this is stating thatevery rational number n has a multiplicative inverse

(but 0 doesnot).Hence the sentence should be “The rational number n has amultiplicative inverse” and should refer to a range of nonzerorational numbers n previously specified.

The and a

Page 30: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Articles clarify the logic

Consider the (Polish, but not English) sentence

Rational number n has a multiplicative inverse.

The author made a mistake if he meant to say “A rationalnumber n has a multiplicative inverse”, as this is stating thatevery rational number n has a multiplicative inverse (but 0 doesnot).

Hence the sentence should be “The rational number n has amultiplicative inverse” and should refer to a range of nonzerorational numbers n previously specified.

The and a

Page 31: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Articles clarify the logic

Consider the (Polish, but not English) sentence

Rational number n has a multiplicative inverse.

The author made a mistake if he meant to say “A rationalnumber n has a multiplicative inverse”, as this is stating thatevery rational number n has a multiplicative inverse (but 0 doesnot).Hence the sentence should be “The rational number n has amultiplicative inverse” and should refer to a range of nonzerorational numbers n previously specified.

The and a

Page 32: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 33: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 34: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 35: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone.

Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 36: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 37: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 38: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 39: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 40: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

When we do not need to use articles

You do not need “a” or “the” at all if the word you are usingcovers a universal concept or has a general meaning.

Hausdorff spaces appear commonly in mathematics.

Chaos is often interesting.

Modern cities are made of iron and stone. Often they lackoxygen.

Experiments form the basis of science.

We will stop at the next station to get gas.

We love life, wine, dance and mountains.

After lunch, tea and coffee are served.

The and a

Page 41: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals.

The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 42: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor.

There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 43: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 44: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner.

The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 45: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 46: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis.

It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 47: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger.

In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 48: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 49: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain.

I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 50: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain,

in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 51: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl.

The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 52: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication.

The beauty of my girl isamazing.

The and a

Page 53: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Article use depends on context

Most words that are universal concepts can also be usedspecifically and then require “the”.

Hygiene is important in hospitals. The hygiene in the oldhospital is poor. There, health does not seem to be apriority.

I was called for dinner. The dinner my partner hadprepared was phantastic.

We need peace. War causes crisis. The last war was themost cruel and caused a big economical crisis. It put thelife of many people in danger. In the face of death, manydespaired.

The weather change brings rain. I will be singing in therain, in love with my girl. The love we share is utmostbeauty, romance and dedication. The beauty of my girl isamazing.

The and a

Page 54: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Pars pro toto

In some constructions, the part stands for the whole.

Knife and fork are the most often used items of our cutlery.

Cat and dog are not always good friends.

The and a

Page 55: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Pars pro toto

In some constructions, the part stands for the whole.

Knife and fork are the most often used items of our cutlery.

Cat and dog are not always good friends.

The and a

Page 56: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Pars pro toto

In some constructions, the part stands for the whole.

Knife and fork are the most often used items of our cutlery.

Cat and dog are not always good friends.

The and a

Page 57: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:

each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 58: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each,

every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 59: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every,

any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 60: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any,

some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 61: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some,

one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 62: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one,

no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 63: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 64: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 65: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 66: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 67: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 68: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 69: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 70: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Words that can replace articles

The following words can be used in place of articles:each, every, any, some, one, no.

To start the proof, we choose some nonzero element a.

Each nonzero rational number is invertible.

Every child needs protection.

Peace will come one day.

He has one house in Berlin and one in New York.

Any mother musn’t grumble.

I can get no satisfaction.

The and a

Page 71: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Possession

No article is needed if a word indicating possession (e.g. “my,its, their”) precedes the thing you are describing.

My daughter’s chaos is not of your concern.

Their experiment was successful.

We use Zorn’s Lemma to obtain a basis for the space.

He proved resolution of singularities for dimension three.His result does not hold for every characteristic.

The and a

Page 72: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Possession

No article is needed if a word indicating possession (e.g. “my,its, their”) precedes the thing you are describing.

My daughter’s chaos is not of your concern.

Their experiment was successful.

We use Zorn’s Lemma to obtain a basis for the space.

He proved resolution of singularities for dimension three.His result does not hold for every characteristic.

The and a

Page 73: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Possession

No article is needed if a word indicating possession (e.g. “my,its, their”) precedes the thing you are describing.

My daughter’s chaos is not of your concern.

Their experiment was successful.

We use Zorn’s Lemma to obtain a basis for the space.

He proved resolution of singularities for dimension three.His result does not hold for every characteristic.

The and a

Page 74: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Possession

No article is needed if a word indicating possession (e.g. “my,its, their”) precedes the thing you are describing.

My daughter’s chaos is not of your concern.

Their experiment was successful.

We use Zorn’s Lemma to obtain a basis for the space.

He proved resolution of singularities for dimension three.His result does not hold for every characteristic.

The and a

Page 75: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Possession

No article is needed if a word indicating possession (e.g. “my,its, their”) precedes the thing you are describing.

My daughter’s chaos is not of your concern.

Their experiment was successful.

We use Zorn’s Lemma to obtain a basis for the space.

He proved resolution of singularities for dimension three.His result does not hold for every characteristic.

The and a

Page 76: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel.

However, there are some exceptions. The general rule isthat “an” appears before nouns that start with vowel sounds.Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 77: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel. However, there are some exceptions.

The general rule isthat “an” appears before nouns that start with vowel sounds.Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 78: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel. However, there are some exceptions. The general rule isthat “an” appears before nouns that start with vowel sounds.

Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 79: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel. However, there are some exceptions. The general rule isthat “an” appears before nouns that start with vowel sounds.Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 80: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel. However, there are some exceptions. The general rule isthat “an” appears before nouns that start with vowel sounds.Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 81: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel. However, there are some exceptions. The general rule isthat “an” appears before nouns that start with vowel sounds.Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 82: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel. However, there are some exceptions. The general rule isthat “an” appears before nouns that start with vowel sounds.Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 83: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

“A” versus “an”

The main rule is that “a” is used before a noun starting with aconsonant and “an” is for use before a noun starting with avowel. However, there are some exceptions. The general rule isthat “an” appears before nouns that start with vowel sounds.Similarly, “a” appears before nouns that start with consonantsounds.

Poland is a European country.

It is an honour to meet you.

He is an honest man.

“Why” is written with a “y”.

The and a

Page 84: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 85: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 86: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 87: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 88: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 89: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety,

but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 90: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 91: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD.

Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 92: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Examples of using “a” and “an”

We used a lateral force microscope (LFM).

We used an LFM.

We are a united people.

We are working at a university that is famous.

He left an hour ago.

The theorem is true for a 7 dimensional variety, but it failsfor an 8-fold.

A unique factorization domain is also said to be a UFD. Ifuniqueness of factorization fails, then it is simply an FD.

The and a

Page 93: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Exercise

From a Starbucks paper bag in New York:

Every croissant is made with love...along with real butter, milled flour and dash of seasalt. We carefully mix, roll and shape each triangle ofdough and bake it to glorious golden brown, tempting youwith soft, flaky layers of delight.

The and a

Page 94: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Exercise

From a Starbucks paper bag in New York:

Every croissant is made with love...

along with real butter, milled flour and dash of seasalt. We carefully mix, roll and shape each triangle ofdough and bake it to glorious golden brown, tempting youwith soft, flaky layers of delight.

The and a

Page 95: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Exercise

From a Starbucks paper bag in New York:

Every croissant is made with love...along with real butter, milled flour

and dash of seasalt. We carefully mix, roll and shape each triangle ofdough and bake it to glorious golden brown, tempting youwith soft, flaky layers of delight.

The and a

Page 96: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Exercise

From a Starbucks paper bag in New York:

Every croissant is made with love...along with real butter, milled flour and dash of seasalt.

We carefully mix, roll and shape each triangle ofdough and bake it to glorious golden brown, tempting youwith soft, flaky layers of delight.

The and a

Page 97: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Exercise

From a Starbucks paper bag in New York:

Every croissant is made with love...along with real butter, milled flour and dash of seasalt. We carefully mix, roll and shape each triangle ofdough

and bake it to glorious golden brown, tempting youwith soft, flaky layers of delight.

The and a

Page 98: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Exercise

From a Starbucks paper bag in New York:

Every croissant is made with love...along with real butter, milled flour and dash of seasalt. We carefully mix, roll and shape each triangle ofdough and bake it to glorious golden brown,

tempting youwith soft, flaky layers of delight.

The and a

Page 99: a/an Exercise Class 8: Guidelines for using articlesmath.usask.ca/fvk/Presentation7.pdf · The and a \The" vs \a/an" \A" vs \An" Exercise Class 8: Guidelines for using articles With

The and a

“The” vs“a/an”

“A” vs “An”

Exercise

Exercise

From a Starbucks paper bag in New York:

Every croissant is made with love...along with real butter, milled flour and dash of seasalt. We carefully mix, roll and shape each triangle ofdough and bake it to glorious golden brown, tempting youwith soft, flaky layers of delight.

The and a