Use of '.' in relations [closed]

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I am trying to understand what the following relation means:
$${(i, i · j) | i, j in mathbb N}$$

Any help is appreciated!

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

asked Nov 23 at 11:34

NorthernStars

closed as off-topic by amWhy, GNUSupporter 8964民主女神地下教會, Ethan Bolker, Paul Frost, Gibbs Nov 23 at 17:55

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, GNUSupporter 8964民主女神地下教會, Paul Frost, Gibbs

If this question can be reworded to fit the rules in the help center, please edit the question.

5

Multiplication would be the obvious guess.
– user3482749
Nov 23 at 11:35

Math needs context. Without it, it could mean just about anything...
– JuliusL33t
Nov 23 at 11:55

It is the (graph of the) function $mathbb Ntomathbb N$ prescribed by $dmapsto dcdot r$.
– drhab
Nov 23 at 12:04

The current version of the OP has nothing to do with "dot." I'm guessing something got lost in translation in the editing process...
– Eff
Nov 23 at 13:22

I'm voting to close this question because the OP's latest edit makes it meaningless.
– Ethan Bolker
Nov 23 at 13:23

add a comment |

up vote
-2
down vote

favorite

I am trying to understand what the following relation means:
$${(i, i · j) | i, j in mathbb N}$$

Any help is appreciated!

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

asked Nov 23 at 11:34

NorthernStars

closed as off-topic by amWhy, GNUSupporter 8964民主女神地下教會, Ethan Bolker, Paul Frost, Gibbs Nov 23 at 17:55

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, GNUSupporter 8964民主女神地下教會, Paul Frost, Gibbs

If this question can be reworded to fit the rules in the help center, please edit the question.

5

Multiplication would be the obvious guess.
– user3482749
Nov 23 at 11:35

Math needs context. Without it, it could mean just about anything...
– JuliusL33t
Nov 23 at 11:55

It is the (graph of the) function $mathbb Ntomathbb N$ prescribed by $dmapsto dcdot r$.
– drhab
Nov 23 at 12:04

The current version of the OP has nothing to do with "dot." I'm guessing something got lost in translation in the editing process...
– Eff
Nov 23 at 13:22

I'm voting to close this question because the OP's latest edit makes it meaningless.
– Ethan Bolker
Nov 23 at 13:23

add a comment |

up vote
-2
down vote

favorite

I am trying to understand what the following relation means:
$${(i, i · j) | i, j in mathbb N}$$

Any help is appreciated!

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

asked Nov 23 at 11:34

NorthernStars

I am trying to understand what the following relation means:
$${(i, i · j) | i, j in mathbb N}$$

Any help is appreciated!

discrete-mathematics relations

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

asked Nov 23 at 11:34

NorthernStars

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

asked Nov 23 at 11:34

NorthernStars

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

edited Nov 23 at 13:24

Trevor Gunn

13.9k32045

asked Nov 23 at 11:34

NorthernStars

asked Nov 23 at 11:34

NorthernStars

asked Nov 23 at 11:34

NorthernStars

closed as off-topic by amWhy, GNUSupporter 8964民主女神地下教會, Ethan Bolker, Paul Frost, Gibbs Nov 23 at 17:55

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, GNUSupporter 8964民主女神地下教會, Paul Frost, Gibbs

If this question can be reworded to fit the rules in the help center, please edit the question.

closed as off-topic by amWhy, GNUSupporter 8964民主女神地下教會, Ethan Bolker, Paul Frost, Gibbs Nov 23 at 17:55

This question appears to be off-topic. The users who voted to close gave this specific reason:

"This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, GNUSupporter 8964民主女神地下教會, Paul Frost, Gibbs

If this question can be reworded to fit the rules in the help center, please edit the question.

5

Multiplication would be the obvious guess.
– user3482749
Nov 23 at 11:35

Math needs context. Without it, it could mean just about anything...
– JuliusL33t
Nov 23 at 11:55

It is the (graph of the) function $mathbb Ntomathbb N$ prescribed by $dmapsto dcdot r$.
– drhab
Nov 23 at 12:04

The current version of the OP has nothing to do with "dot." I'm guessing something got lost in translation in the editing process...
– Eff
Nov 23 at 13:22

I'm voting to close this question because the OP's latest edit makes it meaningless.
– Ethan Bolker
Nov 23 at 13:23

add a comment |

5

Multiplication would be the obvious guess.
– user3482749
Nov 23 at 11:35

Math needs context. Without it, it could mean just about anything...
– JuliusL33t
Nov 23 at 11:55

It is the (graph of the) function $mathbb Ntomathbb N$ prescribed by $dmapsto dcdot r$.
– drhab
Nov 23 at 12:04

The current version of the OP has nothing to do with "dot." I'm guessing something got lost in translation in the editing process...
– Eff
Nov 23 at 13:22

I'm voting to close this question because the OP's latest edit makes it meaningless.
– Ethan Bolker
Nov 23 at 13:23

Multiplication would be the obvious guess.
– user3482749
Nov 23 at 11:35

Math needs context. Without it, it could mean just about anything...
– JuliusL33t
Nov 23 at 11:55

It is the (graph of the) function $mathbb Ntomathbb N$ prescribed by $dmapsto dcdot r$.
– drhab
Nov 23 at 12:04

The current version of the OP has nothing to do with "dot." I'm guessing something got lost in translation in the editing process...
– Eff
Nov 23 at 13:22

I'm voting to close this question because the OP's latest edit makes it meaningless.
– Ethan Bolker
Nov 23 at 13:23

add a comment |

2 Answers
2

active

oldest

votes

up vote
1
down vote

If $i,j in mathbb N$, then $(i,i cdot j)$ is the pair with $i$ in the first coordinate and the product $i cdot j$ in the second coordinate, hence

$(i,i cdot j) in mathbb N times mathbb N$ .

answered Nov 23 at 11:38

Fred

43k1643

add a comment |

up vote
0
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(Working from the original version rather than the current which makes no sense) this is a way of writing down the relation "divides". $i$ divides $icdot j$ (that is $itimes j$) for each natural number $j$, and it divides no other natural numbers. So this relation contains all the pairs of that form.

answered Nov 23 at 13:25

Especially Lime

21.2k22655

add a comment |

2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

up vote
1
down vote

If $i,j in mathbb N$, then $(i,i cdot j)$ is the pair with $i$ in the first coordinate and the product $i cdot j$ in the second coordinate, hence

$(i,i cdot j) in mathbb N times mathbb N$ .

answered Nov 23 at 11:38

Fred

43k1643

add a comment |

up vote
1
down vote

If $i,j in mathbb N$, then $(i,i cdot j)$ is the pair with $i$ in the first coordinate and the product $i cdot j$ in the second coordinate, hence

$(i,i cdot j) in mathbb N times mathbb N$ .

answered Nov 23 at 11:38

Fred

43k1643

add a comment |

up vote
1
down vote

If $i,j in mathbb N$, then $(i,i cdot j)$ is the pair with $i$ in the first coordinate and the product $i cdot j$ in the second coordinate, hence

$(i,i cdot j) in mathbb N times mathbb N$ .

answered Nov 23 at 11:38

Fred

43k1643

If $i,j in mathbb N$, then $(i,i cdot j)$ is the pair with $i$ in the first coordinate and the product $i cdot j$ in the second coordinate, hence

$(i,i cdot j) in mathbb N times mathbb N$ .

answered Nov 23 at 11:38

Fred

43k1643

answered Nov 23 at 11:38

Fred

43k1643

answered Nov 23 at 11:38

Fred

43k1643

answered Nov 23 at 11:38

Fred

43k1643

add a comment |

up vote
0
down vote

answered Nov 23 at 13:25

Especially Lime

21.2k22655

add a comment |

up vote
0
down vote

answered Nov 23 at 13:25

Especially Lime

21.2k22655

add a comment |

up vote
0
down vote

answered Nov 23 at 13:25

Especially Lime

21.2k22655

answered Nov 23 at 13:25

Especially Lime

21.2k22655

answered Nov 23 at 13:25

Especially Lime

21.2k22655

answered Nov 23 at 13:25

Especially Lime

21.2k22655

answered Nov 23 at 13:25

Especially Lime

21.2k22655

add a comment |

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