- published: 14 Oct 2012
- views: 44845
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Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
- published: 05 Dec 2011
- views: 294360
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
- published: 19 Jun 2014
- views: 3596
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
Ed Copeland and Tony Padilla are physicists at the University of Nottingham.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Tumblr: http://numberphile.tumblr.com
Videos by Brady Haran
Brown papers: http://bit.ly/brownpapers
A run-down of Brady's channels: http://bit.ly/bradychannels
- published: 11 Jan 2015
- views: 706561
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Tumblr: http://numberphile.tumblr.com
Videos by Brady Haran
A run-down of Brady's channels: http://bit.ly/bradychannels
- published: 09 Jan 2014
- views: 4353401
This video introduces you to the basic family of numbers explaining Natural numbers, whole numbers, Integers and their classifications. It also briefs us with fundamentals of even numbers, odd numbers and their general formulae.
Giving details About integers and its relation with whole and natural numbers we also learn about prime numbers, composite numbers and their characteristics.
Video is in mixed Hindi & English language, meant for Indian students.
Suitable for Students from any class, or anyone who is interested in learning or revising the concepts of mathematics.
For more upcoming videos in the series of Numbers, and variety of other video lectures on Fundamental and Vedic Maths, Please Subscribe - https://www.youtube.com/channel/UCm9WXKJVZnaj8hCakeqLs6A
- published: 15 Sep 2015
- views: 1545
For a complete lesson on natural numbers and whole numbers, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to use the place value chart to write numbers in a variety of ways. For example, the number 89,234 can be written as the word name eighty-nine thousand, two hundred thirty-four, or in expanded notation as 8 ten thousands + 9 thousands + 2 hundreds + 3 tens + 4 units. Students also learn to find the value of a given digit in a given number. For example, the digit 5 in the number 1,508,346 means 5 hundred thousands.
- published: 24 Apr 2008
- views: 22100
This lecture is useful for UPSC civil services examinations that is IAS, IPS, IFS etc. CDS, NDA, MPSC, Olympiad etc.
This lecture is a part of lecture set available on the website www.upsc-guru.com. In order to get all videos (Paid version) Please visit www.upsc-guru.com or call 9821562575
- published: 11 Aug 2015
- views: 717
•••••• MIRROR: https://vimeo.com/9953368 ••••••
A movie inspired on numbers, geometry and nature, by Cristóbal Vila · Go to www.etereaestudios.com for more info about movie · Music by Wim Mertens - "Often a bird" from the album "Jardin Clos", 1996 - © Usura - Published by Usura 2010
- published: 12 Mar 2010
- views: 4368674
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country"). In common language, words used for counting are "cardinal numbers" and words used for ordering are "ordinal numbers".
Some authors begin the natural numbers with 0, corresponding to the non-negative integers 0, 1, 2, 3, …, whereas others start with 1, corresponding to the positive integers 1, 2, 3, …. Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, but in other writings, that term is used instead for the integers (including negative integers).
The natural numbers are the basis from which many other number sets may be built by extension: the integers, by including an additive inverse (-n) for each natural number n (and zero, if it is not there already, as its own additive inverse); the rational numbers, by including a multiplicative inverse (1/n) for each integer number n; the real numbers by including with the rationals the (converging) Cauchy sequences of rationals; the complex numbers, by including with the real numbers the unresolved square root of minus one; and so on. These chains of extensions make the natural numbers canonically embedded (identified) in the other number systems.
This page contains text from Wikipedia, the Free Encyclopedia -
https://wn.com/Natural_number
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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3:44Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers. Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp Donate http://bit.ly/19AHMvX -
2:36Colin Dodds - Number Types (Math Song)
Colin Dodds - Number Types (Math Song)Colin Dodds - Number Types (Math Song)
Natural numbers are naturally Numbers you count on your hands and your feet 1, 2, 3, 4, 5, 6, and so on Whole numbers are natural numbers plus zero That's the only difference, oh, oh 0, 1, 2, 3, and so on Integers are whole numbers plus negatives They look a little bit like this -2, -1, 0, 1, and so on Last but not least, not to be outdone Rational numbers are integers plus fractions Like -3, 1/2, 5/8 and 14.2 All natural numbers are whole numbers All whole numbers are integers All integers are rational numbers Now listen to that drummer! What about 4? It's a natural number so it's also whole, integer, and rational What about -2? Integer and rational What about 1.5? It's just rational What about 0? It's whole, integer, and rational All natural numbers are whole numbers All whole numbers are integers All integers are rational numbers Now listen to that drummer! ----- Song and video by Colin Dodds -
6:02Natural numbers | what are natural numbers ( learn with examples)
Natural numbers | what are natural numbers ( learn with examples)Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers We learn natural numbers by taking help of counting. Look around you, you will find so many things now count those things. You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers. So we can define natural numbers as the numbers which are used while counting are called as natural numbers. Now we take few examples 1, 34, 4678, 2100, 24045 are all natural numbers And 0, -1, -234, 4.99, 3/4 , all are not natural numbers. SSSS KK KK IIIIIIIIIIIIIIIII LL SS SS KK KK III LL SS SS KK KK III LL SS KK KK III LL SS KK KK III LL SS KKKK III LL SS KK KK III LL SS KK KK III LL SS SS KK KK III LL SS SS KK KK III LL SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL AA SSSS CCCC AAAA SS SS CC CC AA AA SS SS CC CC AA AA SS CC AA AA SS CC AA AA SS CC AAAAAAAAA SS CC AAAAAAAAAA SS CC AA AA SS SS CC CC AA AA SS SS CC CC AA AA SSSS CCCC -
21:06Sum of Natural Numbers (second proof and extra footage)
Sum of Natural Numbers (second proof and extra footage)Sum of Natural Numbers (second proof and extra footage)
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran Brown papers: http://bit.ly/brownpapers A run-down of Brady's channels: http://bit.ly/bradychannels -
7:50ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran A run-down of Brady's channels: http://bit.ly/bradychannels -
14:57Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real
Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, RealSets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real
-
7:59EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)
EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)
This video introduces you to the basic family of numbers explaining Natural numbers, whole numbers, Integers and their classifications. It also briefs us with fundamentals of even numbers, odd numbers and their general formulae. Giving details About integers and its relation with whole and natural numbers we also learn about prime numbers, composite numbers and their characteristics. Video is in mixed Hindi & English language, meant for Indian students. Suitable for Students from any class, or anyone who is interested in learning or revising the concepts of mathematics. For more upcoming videos in the series of Numbers, and variety of other video lectures on Fundamental and Vedic Maths, Please Subscribe - https://www.youtube.com/channel/UCm9WXKJVZnaj8hCakeqLs6A -
1:23Natural Numbers and Whole Numbers - MathHelp.com
Natural Numbers and Whole Numbers - MathHelp.comNatural Numbers and Whole Numbers - MathHelp.com
For a complete lesson on natural numbers and whole numbers, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to use the place value chart to write numbers in a variety of ways. For example, the number 89,234 can be written as the word name eighty-nine thousand, two hundred thirty-four, or in expanded notation as 8 ten thousands + 9 thousands + 2 hundreds + 3 tens + 4 units. Students also learn to find the value of a given digit in a given number. For example, the digit 5 in the number 1,508,346 means 5 hundred thousands. -
7:32UPSC: Number system: Sum Rules on Natural Numbers
UPSC: Number system: Sum Rules on Natural NumbersUPSC: Number system: Sum Rules on Natural Numbers
This lecture is useful for UPSC civil services examinations that is IAS, IPS, IFS etc. CDS, NDA, MPSC, Olympiad etc. This lecture is a part of lecture set available on the website www.upsc-guru.com. In order to get all videos (Paid version) Please visit www.upsc-guru.com or call 9821562575 -
3:44Nature by Numbers
Nature by NumbersNature by Numbers
•••••• MIRROR: https://vimeo.com/9953368 •••••• A movie inspired on numbers, geometry and nature, by Cristóbal Vila · Go to www.etereaestudios.com for more info about movie · Music by Wim Mertens - "Often a bird" from the album "Jardin Clos", 1996 - © Usura - Published by Usura 2010
-
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers. Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp Donate http://bit.ly/19AHMvX
published: 14 Oct 2012 -
Colin Dodds - Number Types (Math Song)
Natural numbers are naturally Numbers you count on your hands and your feet 1, 2, 3, 4, 5, 6, and so on Whole numbers are natural numbers plus zero That's the only difference, oh, oh 0, 1, 2, 3, and so on Integers are whole numbers plus negatives They look a little bit like this -2, -1, 0, 1, and so on Last but not least, not to be outdone Rational numbers are integers plus fractions Like -3, 1/2, 5/8 and 14.2 All natural numbers are whole numbers All whole numbers are integers All integers are rational numbers Now listen to that drummer! What about 4? It's a natural number so it's also whole, integer, and rational What about -2? Integer and rational What about 1.5? It's just rational What about 0? It's whole, integer, and rational All natural numbers are wh...
published: 05 Dec 2011 -
Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers We learn natural numbers by taking help of counting. Look around you, you will find so many things now count those things. You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers. So we can define natural numbers as the numbers which are used while counting are called as natural numbers. Now we take few examples 1, 34, 4678, 2100, 24045 are all natural numbers And 0, -1, -234, 4.99, 3/4 , all are not natural numbers. SSSS KK KK IIIIIIIIIIIIIIIII LL SS SS KK KK III LL SS ...
published: 19 Jun 2014 -
Sum of Natural Numbers (second proof and extra footage)
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran Brown papers: http://bit.ly/brownpapers A run-down of Brady's channels: http://bit.ly/bradychannels
published: 11 Jan 2015 -
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is ...
published: 09 Jan 2014 -
Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real
published: 02 Apr 2011 -
EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)
This video introduces you to the basic family of numbers explaining Natural numbers, whole numbers, Integers and their classifications. It also briefs us with fundamentals of even numbers, odd numbers and their general formulae. Giving details About integers and its relation with whole and natural numbers we also learn about prime numbers, composite numbers and their characteristics. Video is in mixed Hindi & English language, meant for Indian students. Suitable for Students from any class, or anyone who is interested in learning or revising the concepts of mathematics. For more upcoming videos in the series of Numbers, and variety of other video lectures on Fundamental and Vedic Maths, Please Subscribe - https://www.youtube.com/channel/UCm9WXKJVZnaj8hCakeqLs6A
published: 15 Sep 2015 -
Natural Numbers and Whole Numbers - MathHelp.com
For a complete lesson on natural numbers and whole numbers, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to use the place value chart to write numbers in a variety of ways. For example, the number 89,234 can be written as the word name eighty-nine thousand, two hundred thirty-four, or in expanded notation as 8 ten thousands + 9 thousands + 2 hundreds + 3 tens + 4 units. Students also learn to find the value of a given digit in a given number. For example, the digit 5 in the number 1,508,346 means 5 hundred thousands.
published: 24 Apr 2008 -
UPSC: Number system: Sum Rules on Natural Numbers
This lecture is useful for UPSC civil services examinations that is IAS, IPS, IFS etc. CDS, NDA, MPSC, Olympiad etc. This lecture is a part of lecture set available on the website www.upsc-guru.com. In order to get all videos (Paid version) Please visit www.upsc-guru.com or call 9821562575
published: 11 Aug 2015 -
Nature by Numbers
•••••• MIRROR: https://vimeo.com/9953368 •••••• A movie inspired on numbers, geometry and nature, by Cristóbal Vila · Go to www.etereaestudios.com for more info about movie · Music by Wim Mertens - "Often a bird" from the album "Jardin Clos", 1996 - © Usura - Published by Usura 2010
published: 12 Mar 2010
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
- Order: Reorder
- Duration: 3:44
- Updated: 14 Oct 2012
- views: 44845
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers.
Need More Algebra Help? I highly r...
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers.
Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp
Donate http://bit.ly/19AHMvX
wn.com/Natural Numbers, Whole Numbers, And Integers , Intermediate Algebra , Lesson 1
Colin Dodds - Number Types (Math Song)
- Order: Reorder
- Duration: 2:36
- Updated: 05 Dec 2011
- views: 294360
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's...
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
wn.com/Colin Dodds Number Types (Math Song)
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
- published: 05 Dec 2011
- views: 294360
Natural numbers | what are natural numbers ( learn with examples)
- Order: Reorder
- Duration: 6:02
- Updated: 19 Jun 2014
- views: 3596
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will co...
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
wn.com/Natural Numbers | What Are Natural Numbers ( Learn With Examples)
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
- published: 19 Jun 2014
- views: 3596
Sum of Natural Numbers (second proof and extra footage)
- Order: Reorder
- Duration: 21:06
- Updated: 11 Jan 2015
- views: 706561
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
Ed Copeland and Tony Padilla are physicists at the University of Nottingham.
Website: http://www.numberphile.com...
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
Ed Copeland and Tony Padilla are physicists at the University of Nottingham.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Tumblr: http://numberphile.tumblr.com
Videos by Brady Haran
Brown papers: http://bit.ly/brownpapers
A run-down of Brady's channels: http://bit.ly/bradychannels
wn.com/Sum Of Natural Numbers (Second Proof And Extra Footage)
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
Ed Copeland and Tony Padilla are physicists at the University of Nottingham.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Tumblr: http://numberphile.tumblr.com
Videos by Brady Haran
Brown papers: http://bit.ly/brownpapers
A run-down of Brady's channels: http://bit.ly/bradychannels
- published: 11 Jan 2015
- views: 706561
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
- Order: Reorder
- Duration: 7:50
- Updated: 09 Jan 2014
- views: 4353401
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natura...
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Tumblr: http://numberphile.tumblr.com
Videos by Brady Haran
A run-down of Brady's channels: http://bit.ly/bradychannels
wn.com/Astounding 1 2 3 4 5 ... 1 12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Tumblr: http://numberphile.tumblr.com
Videos by Brady Haran
A run-down of Brady's channels: http://bit.ly/bradychannels
- published: 09 Jan 2014
- views: 4353401
Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real
- Order: Reorder
- Duration: 14:57
- Updated: 02 Apr 2011
- views: 130250
- published: 02 Apr 2011
- views: 130250
EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)
- Order: Reorder
- Duration: 7:59
- Updated: 15 Sep 2015
- views: 1545
This video introduces you to the basic family of numbers explaining Natural numbers, whole numbers, Integers and their classifications. It also briefs us with f...
This video introduces you to the basic family of numbers explaining Natural numbers, whole numbers, Integers and their classifications. It also briefs us with fundamentals of even numbers, odd numbers and their general formulae.
Giving details About integers and its relation with whole and natural numbers we also learn about prime numbers, composite numbers and their characteristics.
Video is in mixed Hindi & English language, meant for Indian students.
Suitable for Students from any class, or anyone who is interested in learning or revising the concepts of mathematics.
For more upcoming videos in the series of Numbers, and variety of other video lectures on Fundamental and Vedic Maths, Please Subscribe - https://www.youtube.com/channel/UCm9WXKJVZnaj8hCakeqLs6A
wn.com/Ep 01 Introduction To Numbers Natural Numbers, Whole Numbers And Integers (Hindi English)
This video introduces you to the basic family of numbers explaining Natural numbers, whole numbers, Integers and their classifications. It also briefs us with fundamentals of even numbers, odd numbers and their general formulae.
Giving details About integers and its relation with whole and natural numbers we also learn about prime numbers, composite numbers and their characteristics.
Video is in mixed Hindi & English language, meant for Indian students.
Suitable for Students from any class, or anyone who is interested in learning or revising the concepts of mathematics.
For more upcoming videos in the series of Numbers, and variety of other video lectures on Fundamental and Vedic Maths, Please Subscribe - https://www.youtube.com/channel/UCm9WXKJVZnaj8hCakeqLs6A
- published: 15 Sep 2015
- views: 1545
Natural Numbers and Whole Numbers - MathHelp.com
- Order: Reorder
- Duration: 1:23
- Updated: 24 Apr 2008
- views: 22100
For a complete lesson on natural numbers and whole numbers, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside e...
For a complete lesson on natural numbers and whole numbers, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to use the place value chart to write numbers in a variety of ways. For example, the number 89,234 can be written as the word name eighty-nine thousand, two hundred thirty-four, or in expanded notation as 8 ten thousands + 9 thousands + 2 hundreds + 3 tens + 4 units. Students also learn to find the value of a given digit in a given number. For example, the digit 5 in the number 1,508,346 means 5 hundred thousands.
wn.com/Natural Numbers And Whole Numbers Mathhelp.Com
For a complete lesson on natural numbers and whole numbers, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to use the place value chart to write numbers in a variety of ways. For example, the number 89,234 can be written as the word name eighty-nine thousand, two hundred thirty-four, or in expanded notation as 8 ten thousands + 9 thousands + 2 hundreds + 3 tens + 4 units. Students also learn to find the value of a given digit in a given number. For example, the digit 5 in the number 1,508,346 means 5 hundred thousands.
- published: 24 Apr 2008
- views: 22100
UPSC: Number system: Sum Rules on Natural Numbers
- Order: Reorder
- Duration: 7:32
- Updated: 11 Aug 2015
- views: 717
This lecture is useful for UPSC civil services examinations that is IAS, IPS, IFS etc. CDS, NDA, MPSC, Olympiad etc.
This lecture is a part of lecture set avail...
This lecture is useful for UPSC civil services examinations that is IAS, IPS, IFS etc. CDS, NDA, MPSC, Olympiad etc.
This lecture is a part of lecture set available on the website www.upsc-guru.com. In order to get all videos (Paid version) Please visit www.upsc-guru.com or call 9821562575
wn.com/Upsc Number System Sum Rules On Natural Numbers
This lecture is useful for UPSC civil services examinations that is IAS, IPS, IFS etc. CDS, NDA, MPSC, Olympiad etc.
This lecture is a part of lecture set available on the website www.upsc-guru.com. In order to get all videos (Paid version) Please visit www.upsc-guru.com or call 9821562575
- published: 11 Aug 2015
- views: 717
Nature by Numbers
- Order: Reorder
- Duration: 3:44
- Updated: 12 Mar 2010
- views: 4368674
•••••• MIRROR: https://vimeo.com/9953368 ••••••
A movie inspired on numbers, geometry and nature, by Cristóbal Vila · Go to www.etereaestudios.com for more info...
•••••• MIRROR: https://vimeo.com/9953368 ••••••
A movie inspired on numbers, geometry and nature, by Cristóbal Vila · Go to www.etereaestudios.com for more info about movie · Music by Wim Mertens - "Often a bird" from the album "Jardin Clos", 1996 - © Usura - Published by Usura 2010
wn.com/Nature By Numbers
•••••• MIRROR: https://vimeo.com/9953368 ••••••
A movie inspired on numbers, geometry and nature, by Cristóbal Vila · Go to www.etereaestudios.com for more info about movie · Music by Wim Mertens - "Often a bird" from the album "Jardin Clos", 1996 - © Usura - Published by Usura 2010
- published: 12 Mar 2010
- views: 4368674
-
Set Theory (Part 7): Natural Numbers and Induction
Please feel free to leave comments/questions on the video and practice problems below! In this video, I discuss the von Neumann construction of the natural numbers and relate the idea of natural numbers to inductive sets. The axiom of infinity is also introduced here as one of the ZFC axioms.
published: 30 Apr 2015 -
MathFoundations175: The chaotic complexity of natural numbers
This is a sobering and perhaps disorienting introduction to the fact that arithmetic with bigger numbers starts to look quite different from the familiar arithmetic that we do with the small numbers we are used to. The notion of complexity is key in our treatment of this. We talk about both exponential and triangular complexity. Complexity rests on our ability to be able to utilize powers. So this video also gives a rather novel overview of a lot of powers that are usually somewhat beyond our view. It is, I believe, instructive to roll up one's sleaves occasionally and descend to specific examination of the arithmetic of our mathematics. The disruptive aspect of this topic arises when we inquire into the large-scale behaviour of this complexity. Note: Mike Dupont reports that Wolfram ...
published: 02 Apr 2016 -
MathFoundations155: The realm of natural numbers
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will somewhat informally at this point refer to this as the `realm' of natural numbers. In this video we lay out some of the rather obvious properties that these three operations satisfy. There are some surprises here: in particular we see an unusual new kind of distributive law which will become the basis for the `tropical calculus'.
published: 30 Aug 2015 -
MathFoundations184: Reconsidering natural numbers and arithmetical expressions
It is time to turn our gaze back to the true foundations of the subject: arithmetic with natural numbers. But now we know that the issue of "What exactly is a natural number?" is fraught with subtlety. We adopt a famous dictum of Errett Bishop, and start to make meaningful distinctions between primitive natural numbers, Hindu Arabic numerals, and arithmetical expressions. We will see that we need to have a much more careful look at both natural numbers and a lot of modern number theory. In particular we touch base with a disconcerting reality: that there are not an "infinite number of prime numbers". And we give a perhaps novel definition: we actually define clearly and unambiguously what a (primitive) natural number actually is. Not surprisingly, our experience and facility with data ...
published: 28 May 2016 -
Natural numbers (1): from axioms to counting
We show how we can construct the natural numbers starting with five fundamental properties (axioms) that lead to the familiar counting numbers. This is an exercise of piecing together something very familiar by analyzing an a largely unfamiliar set of implicit assumptions.
published: 08 Jan 2015 -
Natural Numbers (2): from axioms to algebra
We define the algebra of addition on the naturals by way of the axioms and prove the standard associative and commutative properties of addition. We know this from childhood. What’s valuable about this approach is that we see more clearly what our algebra is by examining it among all possible algebras on the naturals.
published: 20 Jan 2015 -
Sum of all natural numbers 1+2+3+4+... = -1/8
published: 17 Feb 2015 -
MathFoundations194: Arithmetical expressions as natural numbers
Primitive natural numbers and Hindu Arabic numerals can be pinned down very concretely and precisely. But what about numbers expressed via more elaborate arithmetical expressions, perhaps involving towers of exponents, or hyperoperations? Is there a consistent and logical proper way of setting up arithmetic with such things? The answer is much less satisfactory than we might like. All kinds of subtle, and not so subtle, difficulties arise. Almost all the familiar kinds of simple arithmetic operations and questions quickly become intractible with these kinds of numbers. Or ought we to say: with these kinds of "numbers"?
published: 07 Aug 2016 -
Introduction to Higher Mathematics - Lecture 13: Construction of the Real Numbers
To get a more firm foundation for the real numbers, we construct them, starting with the natural numbers and working our way up.
published: 21 Mar 2013
Set Theory (Part 7): Natural Numbers and Induction
- Order: Reorder
- Duration: 23:15
- Updated: 30 Apr 2015
- views: 1182
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I discuss the von Neumann construction of the natural num...
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I discuss the von Neumann construction of the natural numbers and relate the idea of natural numbers to inductive sets. The axiom of infinity is also introduced here as one of the ZFC axioms.
wn.com/Set Theory (Part 7) Natural Numbers And Induction
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I discuss the von Neumann construction of the natural numbers and relate the idea of natural numbers to inductive sets. The axiom of infinity is also introduced here as one of the ZFC axioms.
- published: 30 Apr 2015
- views: 1182
MathFoundations175: The chaotic complexity of natural numbers
- Order: Reorder
- Duration: 37:35
- Updated: 02 Apr 2016
- views: 2362
This is a sobering and perhaps disorienting introduction to the fact that arithmetic with bigger numbers starts to look quite different from the familiar arithm...
This is a sobering and perhaps disorienting introduction to the fact that arithmetic with bigger numbers starts to look quite different from the familiar arithmetic that we do with the small numbers we are used to. The notion of complexity is key in our treatment of this. We talk about both exponential and triangular complexity.
Complexity rests on our ability to be able to utilize powers. So this video also gives a rather novel overview of a lot of powers that are usually somewhat beyond our view. It is, I believe, instructive to roll up one's sleaves occasionally and descend to specific examination of the arithmetic of our mathematics.
The disruptive aspect of this topic arises when we inquire into the large-scale behaviour of this complexity.
Note: Mike Dupont reports that Wolfram Alpha gives some information related to complexity. For example at http://www.wolframalpha.com/input/?i=6973568807 we see that 6973568807=2 x 3^20+5. Readers might like to explore this capability (although I doubt that it deals with our triangle exponentiation).
wn.com/Mathfoundations175 The Chaotic Complexity Of Natural Numbers
This is a sobering and perhaps disorienting introduction to the fact that arithmetic with bigger numbers starts to look quite different from the familiar arithmetic that we do with the small numbers we are used to. The notion of complexity is key in our treatment of this. We talk about both exponential and triangular complexity.
Complexity rests on our ability to be able to utilize powers. So this video also gives a rather novel overview of a lot of powers that are usually somewhat beyond our view. It is, I believe, instructive to roll up one's sleaves occasionally and descend to specific examination of the arithmetic of our mathematics.
The disruptive aspect of this topic arises when we inquire into the large-scale behaviour of this complexity.
Note: Mike Dupont reports that Wolfram Alpha gives some information related to complexity. For example at http://www.wolframalpha.com/input/?i=6973568807 we see that 6973568807=2 x 3^20+5. Readers might like to explore this capability (although I doubt that it deals with our triangle exponentiation).
- published: 02 Apr 2016
- views: 2362
MathFoundations155: The realm of natural numbers
- Order: Reorder
- Duration: 24:49
- Updated: 30 Aug 2015
- views: 2343
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredien...
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will somewhat informally at this point refer to this as the `realm' of natural numbers.
In this video we lay out some of the rather obvious properties that these three operations satisfy. There are some surprises here: in particular we see an unusual new kind of distributive law which will become the basis for the `tropical calculus'.
wn.com/Mathfoundations155 The Realm Of Natural Numbers
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will somewhat informally at this point refer to this as the `realm' of natural numbers.
In this video we lay out some of the rather obvious properties that these three operations satisfy. There are some surprises here: in particular we see an unusual new kind of distributive law which will become the basis for the `tropical calculus'.
- published: 30 Aug 2015
- views: 2343
MathFoundations184: Reconsidering natural numbers and arithmetical expressions
- Order: Reorder
- Duration: 31:42
- Updated: 28 May 2016
- views: 2352
It is time to turn our gaze back to the true foundations of the subject: arithmetic with natural numbers. But now we know that the issue of "What exactly is a n...
It is time to turn our gaze back to the true foundations of the subject: arithmetic with natural numbers. But now we know that the issue of "What exactly is a natural number?" is fraught with subtlety. We adopt a famous dictum of Errett Bishop, and start to make meaningful distinctions between primitive natural numbers, Hindu Arabic numerals, and arithmetical expressions.
We will see that we need to have a much more careful look at both natural numbers and a lot of modern number theory.
In particular we touch base with a disconcerting reality: that there are not an "infinite number of prime numbers".
And we give a perhaps novel definition: we actually define clearly and unambiguously what a (primitive) natural number actually is. Not surprisingly, our experience and facility with data structures, in particular msets, will help us a lot. And we end up seeing that in fact it makes good sense to include 0 as a natural number -- a major departure from earlier lectures in this series!
wn.com/Mathfoundations184 Reconsidering Natural Numbers And Arithmetical Expressions
It is time to turn our gaze back to the true foundations of the subject: arithmetic with natural numbers. But now we know that the issue of "What exactly is a natural number?" is fraught with subtlety. We adopt a famous dictum of Errett Bishop, and start to make meaningful distinctions between primitive natural numbers, Hindu Arabic numerals, and arithmetical expressions.
We will see that we need to have a much more careful look at both natural numbers and a lot of modern number theory.
In particular we touch base with a disconcerting reality: that there are not an "infinite number of prime numbers".
And we give a perhaps novel definition: we actually define clearly and unambiguously what a (primitive) natural number actually is. Not surprisingly, our experience and facility with data structures, in particular msets, will help us a lot. And we end up seeing that in fact it makes good sense to include 0 as a natural number -- a major departure from earlier lectures in this series!
- published: 28 May 2016
- views: 2352
Natural numbers (1): from axioms to counting
- Order: Reorder
- Duration: 30:58
- Updated: 08 Jan 2015
- views: 237
We show how we can construct the natural numbers starting with five fundamental properties (axioms) that lead to the familiar counting numbers. This is an exerc...
We show how we can construct the natural numbers starting with five fundamental properties (axioms) that lead to the familiar counting numbers. This is an exercise of piecing together something very familiar by analyzing an a largely unfamiliar set of implicit assumptions.
wn.com/Natural Numbers (1) From Axioms To Counting
We show how we can construct the natural numbers starting with five fundamental properties (axioms) that lead to the familiar counting numbers. This is an exercise of piecing together something very familiar by analyzing an a largely unfamiliar set of implicit assumptions.
- published: 08 Jan 2015
- views: 237
Natural Numbers (2): from axioms to algebra
- Order: Reorder
- Duration: 40:51
- Updated: 20 Jan 2015
- views: 260
We define the algebra of addition on the naturals by way of the axioms and prove the standard associative and commutative properties of addition. We know this f...
We define the algebra of addition on the naturals by way of the axioms and prove the standard associative and commutative properties of addition. We know this from childhood. What’s valuable about this approach is that we see more clearly what our algebra is by examining it among all possible algebras on the naturals.
wn.com/Natural Numbers (2) From Axioms To Algebra
We define the algebra of addition on the naturals by way of the axioms and prove the standard associative and commutative properties of addition. We know this from childhood. What’s valuable about this approach is that we see more clearly what our algebra is by examining it among all possible algebras on the naturals.
- published: 20 Jan 2015
- views: 260
Sum of all natural numbers 1+2+3+4+... = -1/8
- Order: Reorder
- Duration: 21:50
- Updated: 17 Feb 2015
- views: 2397
- published: 17 Feb 2015
- views: 2397
MathFoundations194: Arithmetical expressions as natural numbers
- Order: Reorder
- Duration: 27:22
- Updated: 07 Aug 2016
- views: 1236
Primitive natural numbers and Hindu Arabic numerals can be pinned down very concretely and precisely. But what about numbers expressed via more elaborate arithm...
Primitive natural numbers and Hindu Arabic numerals can be pinned down very concretely and precisely. But what about numbers expressed via more elaborate arithmetical expressions, perhaps involving towers of exponents, or hyperoperations? Is there a consistent and logical proper way of setting up arithmetic with such things?
The answer is much less satisfactory than we might like. All kinds of subtle, and not so subtle, difficulties arise. Almost all the familiar kinds of simple arithmetic operations and questions quickly become intractible with these kinds of numbers. Or ought we to say: with these kinds of "numbers"?
wn.com/Mathfoundations194 Arithmetical Expressions As Natural Numbers
Primitive natural numbers and Hindu Arabic numerals can be pinned down very concretely and precisely. But what about numbers expressed via more elaborate arithmetical expressions, perhaps involving towers of exponents, or hyperoperations? Is there a consistent and logical proper way of setting up arithmetic with such things?
The answer is much less satisfactory than we might like. All kinds of subtle, and not so subtle, difficulties arise. Almost all the familiar kinds of simple arithmetic operations and questions quickly become intractible with these kinds of numbers. Or ought we to say: with these kinds of "numbers"?
- published: 07 Aug 2016
- views: 1236
Introduction to Higher Mathematics - Lecture 13: Construction of the Real Numbers
- Order: Reorder
- Duration: 31:04
- Updated: 21 Mar 2013
- views: 18388
To get a more firm foundation for the real numbers, we construct them, starting with the natural numbers and working our way up.
To get a more firm foundation for the real numbers, we construct them, starting with the natural numbers and working our way up.
wn.com/Introduction To Higher Mathematics Lecture 13 Construction Of The Real Numbers
To get a more firm foundation for the real numbers, we construct them, starting with the natural numbers and working our way up.
- published: 21 Mar 2013
- views: 18388
back
- Playlist
- Chat
back
- Playlist
- Chat
3:44
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural num...
published: 14 Oct 2012
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
- Report rights infringement
- published: 14 Oct 2012
- views: 44845
2:36
Colin Dodds - Number Types (Math Song)
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, ...
published: 05 Dec 2011
Colin Dodds - Number Types (Math Song)
Colin Dodds - Number Types (Math Song)
- Report rights infringement
- published: 05 Dec 2011
- views: 294360
6:02
Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers
We learn natural numbers by taking help of counting.
Look around...
published: 19 Jun 2014
Natural numbers | what are natural numbers ( learn with examples)
Natural numbers | what are natural numbers ( learn with examples)
- Report rights infringement
- published: 19 Jun 2014
- views: 3596
21:06
Sum of Natural Numbers (second proof and extra footage)
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
Ed Copeland and Tony Padilla are physicists...
published: 11 Jan 2015
Sum of Natural Numbers (second proof and extra footage)
Sum of Natural Numbers (second proof and extra footage)
- Report rights infringement
- published: 11 Jan 2015
- views: 706561
7:50
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
E...
published: 09 Jan 2014
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
- Report rights infringement
- published: 09 Jan 2014
- views: 4353401
14:57
Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real
published: 02 Apr 2011
Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real
Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real
- Report rights infringement
- published: 02 Apr 2011
- views: 130250
7:59
EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)
This video introduces you to the basic family of numbers explaining Natural numbers, whole...
published: 15 Sep 2015
EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)
EP 01 - Introduction to Numbers - Natural Numbers, Whole Numbers and Integers (Hindi/English)
- Report rights infringement
- published: 15 Sep 2015
- views: 1545
1:23
Natural Numbers and Whole Numbers - MathHelp.com
For a complete lesson on natural numbers and whole numbers, go to http://www.MathHelp.com ...
published: 24 Apr 2008
Natural Numbers and Whole Numbers - MathHelp.com
Natural Numbers and Whole Numbers - MathHelp.com
- Report rights infringement
- published: 24 Apr 2008
- views: 22100
7:32
UPSC: Number system: Sum Rules on Natural Numbers
This lecture is useful for UPSC civil services examinations that is IAS, IPS, IFS etc. CDS...
published: 11 Aug 2015
UPSC: Number system: Sum Rules on Natural Numbers
UPSC: Number system: Sum Rules on Natural Numbers
- Report rights infringement
- published: 11 Aug 2015
- views: 717
3:44
Nature by Numbers
•••••• MIRROR: https://vimeo.com/9953368 ••••••
A movie inspired on numbers, geometry and ...
published: 12 Mar 2010
Nature by Numbers
Nature by Numbers
- Report rights infringement
- published: 12 Mar 2010
- views: 4368674
back
- Playlist
- Chat
23:15
Set Theory (Part 7): Natural Numbers and Induction
Please feel free to leave comments/questions on the video and practice problems below!
In...
published: 30 Apr 2015
Set Theory (Part 7): Natural Numbers and Induction
Set Theory (Part 7): Natural Numbers and Induction
- Report rights infringement
- published: 30 Apr 2015
- views: 1182
37:35
MathFoundations175: The chaotic complexity of natural numbers
This is a sobering and perhaps disorienting introduction to the fact that arithmetic with ...
published: 02 Apr 2016
MathFoundations175: The chaotic complexity of natural numbers
MathFoundations175: The chaotic complexity of natural numbers
- Report rights infringement
- published: 02 Apr 2016
- views: 2362
24:49
MathFoundations155: The realm of natural numbers
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated...
published: 30 Aug 2015
MathFoundations155: The realm of natural numbers
MathFoundations155: The realm of natural numbers
- Report rights infringement
- published: 30 Aug 2015
- views: 2343
31:42
MathFoundations184: Reconsidering natural numbers and arithmetical expressions
It is time to turn our gaze back to the true foundations of the subject: arithmetic with n...
published: 28 May 2016
MathFoundations184: Reconsidering natural numbers and arithmetical expressions
MathFoundations184: Reconsidering natural numbers and arithmetical expressions
- Report rights infringement
- published: 28 May 2016
- views: 2352
30:58
Natural numbers (1): from axioms to counting
We show how we can construct the natural numbers starting with five fundamental properties...
published: 08 Jan 2015
Natural numbers (1): from axioms to counting
Natural numbers (1): from axioms to counting
- Report rights infringement
- published: 08 Jan 2015
- views: 237
40:51
Natural Numbers (2): from axioms to algebra
We define the algebra of addition on the naturals by way of the axioms and prove the stand...
published: 20 Jan 2015
Natural Numbers (2): from axioms to algebra
Natural Numbers (2): from axioms to algebra
- Report rights infringement
- published: 20 Jan 2015
- views: 260
21:50
Sum of all natural numbers 1+2+3+4+... = -1/8
published: 17 Feb 2015
Sum of all natural numbers 1+2+3+4+... = -1/8
Sum of all natural numbers 1+2+3+4+... = -1/8
- Report rights infringement
- published: 17 Feb 2015
- views: 2397
27:22
MathFoundations194: Arithmetical expressions as natural numbers
Primitive natural numbers and Hindu Arabic numerals can be pinned down very concretely and...
published: 07 Aug 2016
MathFoundations194: Arithmetical expressions as natural numbers
MathFoundations194: Arithmetical expressions as natural numbers
- Report rights infringement
- published: 07 Aug 2016
- views: 1236
31:04
Introduction to Higher Mathematics - Lecture 13: Construction of the Real Numbers
To get a more firm foundation for the real numbers, we construct them, starting with the n...
published: 21 Mar 2013
Introduction to Higher Mathematics - Lecture 13: Construction of the Real Numbers
Introduction to Higher Mathematics - Lecture 13: Construction of the Real Numbers
- Report rights infringement
- published: 21 Mar 2013
- views: 18388
Set Theory (Part 7): Natural Numbers and Induction...
MathFoundations175: The chaotic complexity of natu...
MathFoundations155: The realm of natural numbers...
MathFoundations184: Reconsidering natural numbers ...
Natural numbers (1): from axioms to counting...
Natural Numbers (2): from axioms to algebra...
Sum of all natural numbers 1+2+3+4+... = -1/8...
MathFoundations194: Arithmetical expressions as na...
Introduction to Higher Mathematics - Lecture 13: C...
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Trump Closes Spigot On High-Dollar Fundraising, Cuts Off Cash To Party
Edit WorldNews.com 25 Oct 2016
19. The luncheon was in Las Vegas on the day of the final presidential debate. "We’ve kind of wound down. But the online fundraising continues to be strong.” – Trump National Finance Chairman Steven Mnuchin. Trump’s challenger, Hillary Clinton, will headline her last fundraiser Tuesday night in Miami. However, between that event and Nov ... Trump may also hold events featuring surrogates – including his son Donald Jr ... 30....
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West Antarctica Begins to Destabilize With ‘Intense Unbalanced Melting’
Edit Bloomberg 25 Oct 2016
The National Science Foundation and a U.K ... A new study out Tuesday in Nature Communications measures directly just how dramatically glaciers are being gnawed at from beneath ... SOURCE. Courtesy British Antarctic Survey ... YouTube ... Always concerned their instruments might not to be sensitive enough to detect the changes they’re studying, authors of the Nature Communications paper could at least put that out of their minds ... ....
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Scientists Claim To Have Found 234 Alien Civilizations
Edit IFL Science 25 Oct 2016
Aliens are like buses, you spend ages waiting for one and then 234 come along at once. Or at least, that’s what two astronomers from the Laval University in Quebec are suggesting. Ermanno Borra and his graduate student Eric Trottier have analyzed over 2.5 million stars and galaxies for pulses of light emitted at regular intervals and discovered it in 234 stars similar in size to our Sun ... ....
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Chinese Firm Issues US Recall After Massive Cyberattack
Edit WorldNews.com 25 Oct 2016
The Chinese electronics maker of millions of products sold in the United States has issued a recall of the products following a massive cyberattack that briefly blocked access to websites including Twitter and Netflix for many US users and lashed out at critics who blamed its devices, The Associated Press reported Tuesday....
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Colorful Maps Offer New Perspective On World's River Basins
Edit WorldNews.com 26 Oct 2016
Geographer and map-maestro Robert Szucs has created colorful high-resolution maps that show the flowing glory of river basins in Europe, the United States, South America, and Africa, IFL Science reports.Like squiggly veins, each line shows the path of water as it drains through the basin to eventually reach the sea ... ....
KAI: Change in substantial holding from TYX (Tyranna Resources Limited)
Edit Public Technologies 26 Oct 2016
The total number of votes attached to all the voting shares in the company or voting interests in the scheme that the substantial holder or an associate (2) had a relevant interest (3) in when last required, and when now required, to give a substantial holding notice to the company or scheme, are as follows. ... Nature of change (6) ... Class and number of securities affected ... Nature of relevant interest (6). Class and number of securities....
Form 603 Notice of Initial Substantial Holder (Marenica Energy Limited)
Edit Public Technologies 26 Oct 2016
The total number of votes attached to all the voting shares in the company or voting interests in the scheme that the substantial holder or an associate (2) had a relevant interest (3) in on the date the substantial holder became a substantial holder are as follows. ... Number of securities ... Nature of relevant interest ... Class and number of securities ... Class and number of securities ... Class and number of securities....
Appendix 3Y – Change of Director’s Interest Notice x 3 (MGC Pharmaceuticals Ltd)
Edit Public Technologies 26 Oct 2016
(Source. MGC Pharmaceuticals Ltd) Appendix 3Y. Change of Director's Interest Notice. Rule 3.19A.2. Information or documents not available now must be given to ASX as soon as available ... Note ... Nature of indirect interest (including registered holder) ... Number acquired ... Number disposed ... Nature of change ... Nature of interest ... Nature of indirect interest (including registered holder) ... Number acquired ... Number disposed ... Nature of change ... Nature of interest....
Archrock, Inc. and Archrock Partners Third-Quarter 2016 Conference Call
Edit Stockhouse 26 Oct 2016
Please call approximately 15 minutes prior to the scheduled start time and reference Archrock conference call number 43614259 ... natural gas contract compression services business and a leading supplier of aftermarket services to customers that own compression equipment in the United States ... oil and natural gas industry throughout the United States....
Initial Directors Interest Notice for Michael Jefferies (Homeloans Limited)
Edit Public Technologies 26 Oct 2016
(Source. Homeloans Limited). Appendix 3X Initial Director's Interest Notice Appendix 3X. Initial Director's Interest Notice. Rule 3.19A.1. Information or documents not available now must be given to ASX as soon as available. Information and documents given to ASX become ASX's property and may be made public ... Note ... Number & class of securities. Nil ... Name of holder & nature of interest ... Number & class of Securities ... Nature of interest....
Initial Directors Interest Notice for Susan Hansen (Homeloans Limited)
Edit Public Technologies 26 Oct 2016
(Source. Homeloans Limited). Appendix 3X Initial Director's Interest Notice Appendix 3X. Initial Director's Interest Notice. Rule 3.19A.1. Information or documents not available now must be given to ASX as soon as available. Information and documents given to ASX become ASX's property and may be made public ... Note ... Number & class of securities. Nil ... Name of holder & nature of interest ... Number & class of Securities ... Nature of interest....
Archrock, Inc. and Archrock Partners Third-Quarter 2016 Conference Call (Exterran Partners LP)
Edit Public Technologies 26 Oct 2016
Please call approximately 15 minutes prior to the scheduled start time and reference Archrock conference call number 43614259 ... natural gas contract compression services business and a leading supplier of aftermarket services to customers that own compression equipment in the United States ... oil and natural gas industry throughout the United States....
Archrock, Inc. and Archrock Partners Third-Quarter 2016 Conference Call (Exterran Holdings Inc)
Edit Public Technologies 26 Oct 2016
Please call approximately 15 minutes prior to the scheduled start time and reference Archrock conference call number 43614259 ... natural gas contract compression services business and a leading supplier of aftermarket services to customers that own compression equipment in the United States ... oil and natural gas industry throughout the United States....
Final Directors Interest Notice for Michael Starkey (Homeloans Limited)
Edit Public Technologies 26 Oct 2016
(Source. Homeloans Limited) Appendix 3Z Final Director's Interest Notice. Appendix 3Z. Final Director's Interest Notice. Rule 3.19A.3. Information or documents not available now must be given to ASX as soon as available. Information and documents given to ASX become ASX's property and may be made public ... Note ... Number & class of securities. Nil ... Name of holder & nature of interest ... Number & class of securities. Nil ... Nature of interest....
Final Director's Interest Notice - JP (Sun Resources NL)
Edit Public Technologies 26 Oct 2016
(Source. Sun Resources NL) Appendix 3Z Final Director's Interest Notice. Appendix 3Z. Final Director's Interest Notice. Rule 3.19A.3. Information or documents not available now must be given to ASX as soon as available. Information and documents given to ASX become ASX's property and may be made public ... Note ... Number & class of securities. Nil ... Note ... Name of holder & nature of interest ... Number & class of securities ... Nature of interest....
Extraction Oil & Gas Announces Third-Quarter 2016 Earnings Conference Call
Edit Nasdaq Globe Newswire 26 Oct 2016
Those who would like to participate can dial into the number listed below approximately 15 minutes before the scheduled conference call time, and enter confirmation number 7606470 when prompted ... Dial-In Number....
Initial Directors Interest Notice for Warren McLeland (Homeloans Limited)
Edit Public Technologies 26 Oct 2016
(Source. Homeloans Limited). Appendix 3X Initial Director's Interest Notice Appendix 3X. Initial Director's Interest Notice. Rule 3.19A.1. Information or documents not available now must be given to ASX as soon as available. Information and documents given to ASX become ASX's property and may be made public ... Note ... Number & class of securities ... Name of holder & nature of interest ... Number & class of Securities ... N/A. Nature of interest....
Change in substantial holding from NAB (Homeloans Limited)
Edit Public Technologies 26 Oct 2016
The total number of votes attached to all voting shares in the company or voting interests in the scheme that the substantial holder or an associate had a relevant interest in when last required, and when now required, to give a substantial holding notice to the company or scheme, are as follows. ... Nature of change ... Class and number of securities affected ... Nature of relevant interest. Class and number of securities ... Nature of Association....
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