Use Mirror #'s Use prs. with your Key* numbers the most Vivid thing in your dream go up or down on #'s. Flip 6=9 `9=6 Bullseyes 0 or 1 for Pick 4 and the P. 5 Play the other part of doubles. Do the Whole nine yards for a P. 4* P. 5* or 0 thur 9 for P. 4 P. 5 from my dreams or hunches good Luck.. Write your Dreams down Play for 3 days. Good Luck All.

Whiskey Island United States Member #90216 April 24, 2010 12808 Posts Offline

Posted: April 30, 2012, 5:00 pm - IP Logged

Quote: Originally posted by marcie on April 30, 2012

Whats that?

The integers(from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French^{[1]}) are formed by the natural numbers (including 0) (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers (−1, −2, −3, ...). Viewed as a subset of the real numbers, they are numbers that can be written without a fractional or decimal component, and fall within the set {..., −2, −1, 0, 1, 2, ...}. For example, 21, 4, and −2048 are integers; 9.75, 5½, and √2 are not integers.

The integers (with addition as operation) form the smallest group containing the additive monoid of the natural numbers. Like the natural numbers, the integers form a countably infinite set.

The intuition is that (a, b) stands for the result of subtracting bfrom a.^{[3]} To confirm our expectation that 1 − 2 and 4 − 5 denote the same number, we define an equivalence relation ~ on these pairs with the following rule:

precisely when

Addition and multiplication of integers can be defined in terms of the equivalent operations on the natural numbers^{[3]}; denoting by [(a,b)] the equivalence class having (a,b) as a member, one has:

The negation (or additive inverse) of an integer is obtained by reversing the order of the pair:

Hence subtraction can be defined as the addition of the additive inverse:

The standard ordering on the integers is given by:

It is easily verified that these definitions are independent of the choice of representatives of the equivalence classes.

Every equivalence class has a unique member that is of the form (n,0) or (0,n) (or both at once). The natural number nis identified with the class [(n,0)] (in other words the natural numbers are embedded into the integers by map sending n to [(n,0)]), and the class [(0,n)] is denoted −n (this covers all remaining classes, and gives the class [(0,0)] a second time since −0 = 0.^{[citation needed]}

Thus, [(a,b)] is denoted by^{[citation needed]}

If the natural numbers are identified with the corresponding integers (using the embedding mentioned above), this convention creates no ambiguity.^{[citation needed]}

This notation recovers the familiar representation of the integers as {... −3,−2,−1, 0, 1, 2, 3, ...}.

mid-Ohio United States Member #9 March 24, 2001 19901 Posts Offline

Posted: April 30, 2012, 5:32 pm - IP Logged

integer definition l:any of the natural numbers, the negatives of these numbers, or zero

This is probably just a request from some one who hasn't an idea how to develop a winning lottery system and doesn't want to waste time learning to anyone who is willing to spend time developing such a system for him for no compensation.

* you don't need to buy more tickets, just buy a winning ticket *

Ohio United States Member #49980 February 21, 2007 34533 Posts Online

Posted: April 30, 2012, 7:20 pm - IP Logged

Quote: Originally posted by CajunWin4 on April 30, 2012

The integers(from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French^{[1]}) are formed by the natural numbers (including 0) (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers (−1, −2, −3, ...). Viewed as a subset of the real numbers, they are numbers that can be written without a fractional or decimal component, and fall within the set {..., −2, −1, 0, 1, 2, ...}. For example, 21, 4, and −2048 are integers; 9.75, 5½, and √2 are not integers.

The integers (with addition as operation) form the smallest group containing the additive monoid of the natural numbers. Like the natural numbers, the integers form a countably infinite set.

The intuition is that (a, b) stands for the result of subtracting bfrom a.^{[3]} To confirm our expectation that 1 − 2 and 4 − 5 denote the same number, we define an equivalence relation ~ on these pairs with the following rule:

precisely when

Addition and multiplication of integers can be defined in terms of the equivalent operations on the natural numbers^{[3]}; denoting by [(a,b)] the equivalence class having (a,b) as a member, one has:

The negation (or additive inverse) of an integer is obtained by reversing the order of the pair:

Hence subtraction can be defined as the addition of the additive inverse:

The standard ordering on the integers is given by:

It is easily verified that these definitions are independent of the choice of representatives of the equivalence classes.

Every equivalence class has a unique member that is of the form (n,0) or (0,n) (or both at once). The natural number nis identified with the class [(n,0)] (in other words the natural numbers are embedded into the integers by map sending n to [(n,0)]), and the class [(0,n)] is denoted −n (this covers all remaining classes, and gives the class [(0,0)] a second time since −0 = 0.^{[citation needed]}

Thus, [(a,b)] is denoted by^{[citation needed]}

If the natural numbers are identified with the corresponding integers (using the embedding mentioned above), this convention creates no ambiguity.^{[citation needed]}

This notation recovers the familiar representation of the integers as {... −3,−2,−1, 0, 1, 2, 3, ...}.

Some examples are:

Thaqnks when I seen this I thought it looked more like algebra too complication for me, thanks for explaining it.

Use Mirror #'s Use prs. with your Key* numbers the most Vivid thing in your dream go up or down on #'s. Flip 6=9 `9=6 Bullseyes 0 or 1 for Pick 4 and the P. 5 Play the other part of doubles. Do the Whole nine yards for a P. 4* P. 5* or 0 thur 9 for P. 4 P. 5 from my dreams or hunches good Luck.. Write your Dreams down Play for 3 days. Good Luck All.

Ellenwood,Georgia United States Member #60512 April 21, 2008 471 Posts Offline

Posted: April 30, 2012, 8:36 pm - IP Logged

Quote: Originally posted by RJOh on April 30, 2012

integer definition l:any of the natural numbers, the negatives of these numbers, or zero

This is probably just a request from some one who hasn't an idea how to develop a winning lottery system and doesn't want to waste time learning to anyone who is willing to spend time developing such a system for him for no compensation.

That some one is Me Idesire$ and yes i have lots of ideas on how to develop as well as has developed winning lottery systems.You may want to check me out on YOUTUBE (dickeylavee) I want to learn in another way because all my time is valuable so I never waste it.And if you no so much why just make a comment on the definition of Integers. The number line is much deeper than what you think I just wanted to see if anyone sees it in a different way other than me. Thanks for defining the word

Ellenwood,Georgia United States Member #60512 April 21, 2008 471 Posts Offline

Posted: April 30, 2012, 8:42 pm - IP Logged

Thanks for the info I see integer as on the number line not as algebra because you have a positive and negative side on the number line and when dealing with numbers you are positive and negative meaning adding and subtracting so people don't just limit your minds because I think something is there Maybe I will make a video on how I see it. Thanks

Ellenwood,Georgia United States Member #60512 April 21, 2008 471 Posts Offline

Posted: April 30, 2012, 8:43 pm - IP Logged

Quote: Originally posted by marcie on April 30, 2012

Whats that?

Thanks for the info I see integer as on the number line not as algebra because you have a positive and negative side on the number line and when dealing with numbers you are positive and negative meaning adding and subtracting so people don't just limit your minds because I think something is there Maybe I will make a video on how I see it. Thanks

mid-Ohio United States Member #9 March 24, 2001 19901 Posts Offline

Posted: April 30, 2012, 10:00 pm - IP Logged

Quote: Originally posted by Idesire$ on April 30, 2012

That some one is Me Idesire$ and yes i have lots of ideas on how to develop as well as has developed winning lottery systems.You may want to check me out on YOUTUBE (dickeylavee) I want to learn in another way because all my time is valuable so I never waste it.And if you no so much why just make a comment on the definition of Integers. The number line is much deeper than what you think I just wanted to see if anyone sees it in a different way other than me. Thanks for defining the word

Thanks for defining the word

No problem, I just looked it up in a Merriam-Webster' Collegiate Dictionary program I brought at Odd-Lots for $5 a couple of years ago.

* you don't need to buy more tickets, just buy a winning ticket *