Are ratios with zero defined?

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Are ratios like $4:0$ or $0:4:0$ defined? I saw such ratios being used to describe the phenotype ratio in a mono-hybrid cross – tall plants:short plants $=0:4$.

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edited Jul 22 at 6:54

Parcly Taxel

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asked Jul 22 at 6:49

Suzie Waters

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up vote
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down vote

favorite

Are ratios like $4:0$ or $0:4:0$ defined? I saw such ratios being used to describe the phenotype ratio in a mono-hybrid cross – tall plants:short plants $=0:4$.

ratio

share|cite|improve this question

edited Jul 22 at 6:54

Parcly Taxel

33.6k136588

asked Jul 22 at 6:49

Suzie Waters

412

add a comment | 

up vote
5
down vote

favorite

up vote
5
down vote

favorite

Are ratios like $4:0$ or $0:4:0$ defined? I saw such ratios being used to describe the phenotype ratio in a mono-hybrid cross – tall plants:short plants $=0:4$.

ratio

share|cite|improve this question

edited Jul 22 at 6:54

Parcly Taxel

33.6k136588

asked Jul 22 at 6:49

Suzie Waters

412

Are ratios like $4:0$ or $0:4:0$ defined? I saw such ratios being used to describe the phenotype ratio in a mono-hybrid cross – tall plants:short plants $=0:4$.

ratio

share|cite|improve this question

edited Jul 22 at 6:54

Parcly Taxel

33.6k136588

asked Jul 22 at 6:49

Suzie Waters

412

share|cite|improve this question

share|cite|improve this question

edited Jul 22 at 6:54

Parcly Taxel

33.6k136588

edited Jul 22 at 6:54

Parcly Taxel

33.6k136588

edited Jul 22 at 6:54

Parcly Taxel

33.6k136588

33.6k136588

asked Jul 22 at 6:49

Suzie Waters

412

asked Jul 22 at 6:49

Suzie Waters

412

asked Jul 22 at 6:49

Suzie Waters

412

412

add a comment | 

add a comment | 

2 Answers
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6
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They are indeed well-defined, so long as at least one number is non-zero. For the given example, it just means no tall plants were observed in the cross.

The ratio colons are sometimes used to denote homogenous coordinates, where another ratio representing some point can be obtained by multiplying all numbers in that ratio by the same number. The origin (all numbers zero) is excluded, and does not represent any point.

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answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

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2
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Yes, as long as not all coordinates are zero.

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answered Jul 22 at 6:51

Kenny Lau

18.7k2157

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Answers are supposed to be answers, not just links.
  – David Richerby
  Jul 22 at 11:48
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @DavidRicherby the displayed text of the link is an answer, so this isn't just a link. Still, a little more elaboration wouldn't hurt.
  – John Coleman
  Jul 22 at 12:44
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JohnColeman Answers are also supposed to contain explanation.
  – David Richerby
  Jul 22 at 17:05
  

  
  
  
  

add a comment | 

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
6
down vote

They are indeed well-defined, so long as at least one number is non-zero. For the given example, it just means no tall plants were observed in the cross.

The ratio colons are sometimes used to denote homogenous coordinates, where another ratio representing some point can be obtained by multiplying all numbers in that ratio by the same number. The origin (all numbers zero) is excluded, and does not represent any point.

share|cite|improve this answer

answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

add a comment | 

up vote
6
down vote

They are indeed well-defined, so long as at least one number is non-zero. For the given example, it just means no tall plants were observed in the cross.

The ratio colons are sometimes used to denote homogenous coordinates, where another ratio representing some point can be obtained by multiplying all numbers in that ratio by the same number. The origin (all numbers zero) is excluded, and does not represent any point.

share|cite|improve this answer

answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

add a comment | 

up vote
6
down vote

up vote
6
down vote

They are indeed well-defined, so long as at least one number is non-zero. For the given example, it just means no tall plants were observed in the cross.

The ratio colons are sometimes used to denote homogenous coordinates, where another ratio representing some point can be obtained by multiplying all numbers in that ratio by the same number. The origin (all numbers zero) is excluded, and does not represent any point.

share|cite|improve this answer

answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

They are indeed well-defined, so long as at least one number is non-zero. For the given example, it just means no tall plants were observed in the cross.

The ratio colons are sometimes used to denote homogenous coordinates, where another ratio representing some point can be obtained by multiplying all numbers in that ratio by the same number. The origin (all numbers zero) is excluded, and does not represent any point.

share|cite|improve this answer

answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

share|cite|improve this answer

share|cite|improve this answer

answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

answered Jul 22 at 6:51

Parcly Taxel

33.6k136588

33.6k136588

add a comment | 

add a comment | 

up vote
2
down vote

Yes, as long as not all coordinates are zero.

share|cite|improve this answer

answered Jul 22 at 6:51

Kenny Lau

18.7k2157

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Answers are supposed to be answers, not just links.
  – David Richerby
  Jul 22 at 11:48
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @DavidRicherby the displayed text of the link is an answer, so this isn't just a link. Still, a little more elaboration wouldn't hurt.
  – John Coleman
  Jul 22 at 12:44
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JohnColeman Answers are also supposed to contain explanation.
  – David Richerby
  Jul 22 at 17:05
  

  
  
  
  

add a comment | 

up vote
2
down vote

Yes, as long as not all coordinates are zero.

share|cite|improve this answer

answered Jul 22 at 6:51

Kenny Lau

18.7k2157

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Answers are supposed to be answers, not just links.
  – David Richerby
  Jul 22 at 11:48
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @DavidRicherby the displayed text of the link is an answer, so this isn't just a link. Still, a little more elaboration wouldn't hurt.
  – John Coleman
  Jul 22 at 12:44
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JohnColeman Answers are also supposed to contain explanation.
  – David Richerby
  Jul 22 at 17:05
  

  
  
  
  

add a comment | 

up vote
2
down vote

up vote
2
down vote

Yes, as long as not all coordinates are zero.

share|cite|improve this answer

answered Jul 22 at 6:51

Kenny Lau

18.7k2157

Yes, as long as not all coordinates are zero.

share|cite|improve this answer

answered Jul 22 at 6:51

Kenny Lau

18.7k2157

share|cite|improve this answer

share|cite|improve this answer

answered Jul 22 at 6:51

Kenny Lau

18.7k2157

answered Jul 22 at 6:51

Kenny Lau

18.7k2157

answered Jul 22 at 6:51

Kenny Lau

18.7k2157

18.7k2157

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Answers are supposed to be answers, not just links.
  – David Richerby
  Jul 22 at 11:48
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @DavidRicherby the displayed text of the link is an answer, so this isn't just a link. Still, a little more elaboration wouldn't hurt.
  – John Coleman
  Jul 22 at 12:44
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JohnColeman Answers are also supposed to contain explanation.
  – David Richerby
  Jul 22 at 17:05
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Answers are supposed to be answers, not just links.
  – David Richerby
  Jul 22 at 11:48
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  @DavidRicherby the displayed text of the link is an answer, so this isn't just a link. Still, a little more elaboration wouldn't hurt.
  – John Coleman
  Jul 22 at 12:44
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @JohnColeman Answers are also supposed to contain explanation.
  – David Richerby
  Jul 22 at 17:05
  

  
  
  
  

Answers are supposed to be answers, not just links.
– David Richerby
Jul 22 at 11:48

Answers are supposed to be answers, not just links.
– David Richerby
Jul 22 at 11:48

1

1

@DavidRicherby the displayed text of the link is an answer, so this isn't just a link. Still, a little more elaboration wouldn't hurt.
– John Coleman
Jul 22 at 12:44

@DavidRicherby the displayed text of the link is an answer, so this isn't just a link. Still, a little more elaboration wouldn't hurt.
– John Coleman
Jul 22 at 12:44

@JohnColeman Answers are also supposed to contain explanation.
– David Richerby
Jul 22 at 17:05

@JohnColeman Answers are also supposed to contain explanation.
– David Richerby
Jul 22 at 17:05

add a comment | 

 

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