The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, the sums also equal 139 for various other combinations within the square. The date of Ramanujan's birth, December 22nd 1887, is also the sum of the numbers in the diagonal of the magic square, showing his genius in incorporating his date of birth into his mathematical work.
The document describes a magic square created by mathematician Srinivasa Ramanujan. The magic square has unusual properties - the sum of each row, column, diagonal, corner numbers, and certain subsets of numbers is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is encoded within the magic square using the first two numbers in the top row and left column.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is also represented within the magic square.
The document describes a magic square created by mathematician Srinivasa Ramanujan. The magic square has unusual properties - the sum of each row, column, diagonal, corner numbers, and certain subsets of numbers is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is encoded within the magic square using the first two numbers in the top row and left column.
This document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has unusual properties beyond just having the sums of rows, columns and diagonals equal: the sums of the corner numbers, numbers in colored boxes, and central squares all equally 139. Most remarkably, the date of Ramanujan's birth - 22nd December 1887 - corresponds to the numbers in the first row of the magic square.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is also represented within the magic square.
This document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has unusual properties beyond just having the sums of rows, columns and diagonals equal: the sums of the corner numbers, numbers in colored boxes, and central squares all equally 139. Most remarkably, the date of Ramanujan's birth - 22nd December 1887 - corresponds to the numbers in the first row of the magic square.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, the sums also equal 139 for various other combinations within the square. The date of Ramanujan's birth, December 22nd 1887, is also the sum of the numbers in the diagonal of the magic square, showing his genius in incorporating his date of birth into his mathematical work.
The document describes a magic square created by mathematician Srinivasa Ramanujan. The magic square has unusual properties - the sum of each row, column, diagonal, corner numbers, and certain subsets of numbers is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is encoded within the magic square using the first two numbers in the top row and left column.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is also represented within the magic square.
The document describes a magic square created by mathematician Srinivasa Ramanujan. The magic square has unusual properties - the sum of each row, column, diagonal, corner numbers, and certain subsets of numbers is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is encoded within the magic square using the first two numbers in the top row and left column.
This document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has unusual properties beyond just having the sums of rows, columns and diagonals equal: the sums of the corner numbers, numbers in colored boxes, and central squares all equally 139. Most remarkably, the date of Ramanujan's birth - 22nd December 1887 - corresponds to the numbers in the first row of the magic square.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is also represented within the magic square.
This document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has unusual properties beyond just having the sums of rows, columns and diagonals equal: the sums of the corner numbers, numbers in colored boxes, and central squares all equally 139. Most remarkably, the date of Ramanujan's birth - 22nd December 1887 - corresponds to the numbers in the first row of the magic square.
Srinivasa Ramanujan was a famous Indian mathematician born in 1887 who created a "magic square" with unique properties. His magic square has the sum of 139 for any row, column, diagonal, corner numbers, and certain colored box combinations. Most remarkably, the date of Ramanujan's birth - 22nd December 1887 - is represented by the first two numbers in the top left corner of the magic square he created.
This document describes a magic square created by mathematician Srinivasa Ramanujan that has the unique property that the sum of any combination of numbers - rows, columns, diagonals, corners, or colored boxes - is always 139. The climactic revelation is that this magic square also encodes Ramanujan's date of birth, 22nd December 1887, with the numbers in the top row and left column summing to 22.12.1887. This magic square demonstrates Ramanujan's incredible mathematical genius in devising a puzzle that incorporates his birthdate as the solution.
Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He was born in 1887 in a small village in India and showed a natural talent for mathematics from a young age, teaching himself advanced mathematical concepts from books. He struggled to receive a formal education due to financial difficulties but gained recognition for his mathematical abilities and published several papers. Ramanujan is renowned for his contributions to mathematical analysis, number theory, infinite series, and continued fractions.
A simple presentation on N queen Algorithm. These slides dont have much information. You have to collect it by yourself. At the 8th slide, you will get the information from this link bellow.
https://www.youtube.com/watch?v=xouin83ebxE&t=497s
The document describes Amarnath Murthy's unique magic square, in which the sum of any row, column, diagonal, corner numbers, and colored boxes is 106. It then reveals that the sums also represent Amarnath Murthy's birthday of December 15, 1960. The document encourages the reader to create their own magic square using numbers 1-16 that represents their birthday date.
The document discusses using a backtracking algorithm to solve the 8 queens problem. It begins by defining backtracking and listing examples where it can be used, such as Sudoku. It then defines the 8 queens problem as placing 8 queens on an 8x8 chessboard so that no two queens attack each other. It provides the formulation for the 8 queens problem using backtracking, including the states, initial state, successor functions, and goal test. Finally, it provides the steps of the backtracking algorithm to solve the 8 queens problem and notes that for an 8x8 board, 92 possible solutions exist excluding symmetrical solutions, with only 12 unique solutions.
The document contains a year 9 maths quiz on sequences, asking students to identify the rule and find the 10th term for several numerical sequences. Questions include identifying the next number in sequences like 3, 6, 9, 12, 15 and finding the 10th term of sequences expressed in various rules including 3n, n+12, and 100-n.
The document discusses solving the eight queens problem using a genetic algorithm (GA). It describes representing the chessboard configuration as a string of numbers indicating each queen's position. A fitness function counts non-attacking queen pairs. The GA then performs selection, crossover and mutation on the population to evolve solutions, iteratively improving the average fitness until finding an arrangement with no attacking queens.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is represented by the magic square when read as a date.
This document discusses a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the special property that the sum of any row, column, diagonal, and grouping of numbers is 139. Remarkably, Ramanujan's date of birth - December 22nd, 1887 - corresponds to the numbers in the first row of the magic square. The document conveys the profound significance of this magic square as a tribute to Ramanujan's genius and accomplishments.
This document describes a magic square created by Srinivasa Ramanujan that has the unique property that the sum of any combination of its numbers - whether by row, column, diagonal, corners, or colored boxes - is always 139. It then reveals that remarkably, the magic square was constructed using Ramanujan's date of birth, 22nd December 1887.
This document describes a magic square created by mathematician Srinivasa Ramanujan that has the unique property that the sum of any combination of numbers - rows, columns, diagonals, corners, or colored boxes - is always 139. The climactic revelation is that the sums also match Ramanujan's date of birth: 22nd December 1887. This magic square is a tribute to Ramanujan's brilliant and unique mathematical abilities.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. He displayed remarkable talent and intuition for mathematical theories from a young age. Ramanujan received recognition after being invited to work with professor G.H. Hardy at Trinity College, Cambridge. Although he struggled with poor health in England, Ramanujan produced groundbreaking mathematical research and formulas before passing away at a young age in 1920. He is regarded as one of the greatest mathematicians and his contributions continue to have an impact.
History of ramanujan's and his contributions in mathematics by, sandeepsandeep kumar singu
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite his lack of formal training. He was born in 1887 in Tamil Nadu, India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan's work attracted the attention of the English mathematician G.H. Hardy, who brought him to Cambridge University in England. There, Ramanujan continued his groundbreaking mathematical research until his untimely death in 1920 at the age of 32.
(1) Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics.
(2) He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age, mastering advanced mathematical concepts including trigonometry at age 13.
(3) Ramanujan received recognition for his genius and was invited to study at Trinity College, Cambridge in England. However, he struggled with the climate and culture in England and his health declined, and he ultimately returned to India where he passed away in 1920 at the young age of 32.
The document describes a "magic square" created by the magician Dinesh S. In a magic square, the sums of each row, column, and diagonal are equal. Interestingly, in Dinesh's square the sums also equal the sums of the corner numbers, colored boxes, central square, and various combinations of numbers. Most remarkably, the sums all equal 127, which is also Dinesh's date of birth: 21st January 1986. The square was inspired by mathematician Srinivasa Ramanujan's work with magic squares.
Football and behaviour of different nationsSandeep Goyal
This is an interesting profile how different nations have different behaviour and how it is reflected through this game of soccer. It may not be true for everyone but I do feel it has lot of sense based on my traveling that I observed. Someone sent me this presentation but I do not know you prepared this brilliant piece of work. I liked it very much,
The document provides information about Packaging Connections, an ISO 9001:2008 certified packaging organization that offers online packaging services and consultancy worldwide. It aims to create an online packaging knowledge center through networking, information sharing, and benefiting the packaging community. The organization's website connects packaging professionals from over 120 countries and receives thousands of unique visitors monthly. It has successfully completed various packaging consulting projects for clients covering areas like new product development, packaging optimization, customer surveys, quality assurance processes, product testing, and gap analyses.
A bird’s eye view of everyday scenes in India (Unique concept).
Eye in the sky over India: Camera on a kite snaps fabulous photographs
of the sub-continent.
The document discusses India's significant contributions to various fields throughout history as noted by several prominent figures. It highlights how India was the original cradle of human civilization and developed many fundamental concepts including the decimal system, place value, algebra, trigonometry, calculus, and more. India also made major contributions to fields like astronomy, medicine, surgery, physics, chemistry, arts, philosophy and non-violence. The document asserts that India has gifted much to the world throughout history.
Introduction Business Promotion July 2012Sandeep Goyal
This document discusses the global packaging scenario and opportunities for business promotion through an online packaging knowledge center. It aims to create an online community for packaging professionals to network, share information, and benefit the packaging industry. The site would offer packaging consultancy, support foreign companies, and sell packaging books and journals. Key facts provided include growth in the packaging sector by geography and materials. It also outlines services for brand promotion, visibility, and value addition to connect the global packaging industry network.
Introduction Business Promotion June 2012Sandeep Goyal
PackagingConnections.com is known to offer help to foreign packaging companies who want to set shop in India by way of market research, feasibility study and then initial business development until they set up their own. We also provide packaging consultation to companies worldwide on various activities like project management, specifications management, and development. Setting up AQL standards, in house packaging innovation newsletters for companies, mentoring packaging professionals worldwide, and igniting packaging innovation discussions are few of the others things that they do.
We as a company are continuously working towards closing the gap in the unorganized packaging sector in India through packaging portal www.PackagingConnections.com which is more than a knowledge management & sharing portal. The portal offers a wide array of resources like;
Srinivasa Ramanujan was a famous Indian mathematician born in 1887 who created a "magic square" with unique properties. His magic square has the sum of 139 for any row, column, diagonal, corner numbers, and certain colored box combinations. Most remarkably, the date of Ramanujan's birth - 22nd December 1887 - is represented by the first two numbers in the top left corner of the magic square he created.
This document describes a magic square created by mathematician Srinivasa Ramanujan that has the unique property that the sum of any combination of numbers - rows, columns, diagonals, corners, or colored boxes - is always 139. The climactic revelation is that this magic square also encodes Ramanujan's date of birth, 22nd December 1887, with the numbers in the top row and left column summing to 22.12.1887. This magic square demonstrates Ramanujan's incredible mathematical genius in devising a puzzle that incorporates his birthdate as the solution.
Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He was born in 1887 in a small village in India and showed a natural talent for mathematics from a young age, teaching himself advanced mathematical concepts from books. He struggled to receive a formal education due to financial difficulties but gained recognition for his mathematical abilities and published several papers. Ramanujan is renowned for his contributions to mathematical analysis, number theory, infinite series, and continued fractions.
A simple presentation on N queen Algorithm. These slides dont have much information. You have to collect it by yourself. At the 8th slide, you will get the information from this link bellow.
https://www.youtube.com/watch?v=xouin83ebxE&t=497s
The document describes Amarnath Murthy's unique magic square, in which the sum of any row, column, diagonal, corner numbers, and colored boxes is 106. It then reveals that the sums also represent Amarnath Murthy's birthday of December 15, 1960. The document encourages the reader to create their own magic square using numbers 1-16 that represents their birthday date.
The document discusses using a backtracking algorithm to solve the 8 queens problem. It begins by defining backtracking and listing examples where it can be used, such as Sudoku. It then defines the 8 queens problem as placing 8 queens on an 8x8 chessboard so that no two queens attack each other. It provides the formulation for the 8 queens problem using backtracking, including the states, initial state, successor functions, and goal test. Finally, it provides the steps of the backtracking algorithm to solve the 8 queens problem and notes that for an 8x8 board, 92 possible solutions exist excluding symmetrical solutions, with only 12 unique solutions.
The document contains a year 9 maths quiz on sequences, asking students to identify the rule and find the 10th term for several numerical sequences. Questions include identifying the next number in sequences like 3, 6, 9, 12, 15 and finding the 10th term of sequences expressed in various rules including 3n, n+12, and 100-n.
The document discusses solving the eight queens problem using a genetic algorithm (GA). It describes representing the chessboard configuration as a string of numbers indicating each queen's position. A fitness function counts non-attacking queen pairs. The GA then performs selection, crossover and mutation on the population to evolve solutions, iteratively improving the average fitness until finding an arrangement with no attacking queens.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is represented by the magic square when read as a date.
This document discusses a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the special property that the sum of any row, column, diagonal, and grouping of numbers is 139. Remarkably, Ramanujan's date of birth - December 22nd, 1887 - corresponds to the numbers in the first row of the magic square. The document conveys the profound significance of this magic square as a tribute to Ramanujan's genius and accomplishments.
This document describes a magic square created by Srinivasa Ramanujan that has the unique property that the sum of any combination of its numbers - whether by row, column, diagonal, corners, or colored boxes - is always 139. It then reveals that remarkably, the magic square was constructed using Ramanujan's date of birth, 22nd December 1887.
This document describes a magic square created by mathematician Srinivasa Ramanujan that has the unique property that the sum of any combination of numbers - rows, columns, diagonals, corners, or colored boxes - is always 139. The climactic revelation is that the sums also match Ramanujan's date of birth: 22nd December 1887. This magic square is a tribute to Ramanujan's brilliant and unique mathematical abilities.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. He displayed remarkable talent and intuition for mathematical theories from a young age. Ramanujan received recognition after being invited to work with professor G.H. Hardy at Trinity College, Cambridge. Although he struggled with poor health in England, Ramanujan produced groundbreaking mathematical research and formulas before passing away at a young age in 1920. He is regarded as one of the greatest mathematicians and his contributions continue to have an impact.
History of ramanujan's and his contributions in mathematics by, sandeepsandeep kumar singu
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite his lack of formal training. He was born in 1887 in Tamil Nadu, India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan's work attracted the attention of the English mathematician G.H. Hardy, who brought him to Cambridge University in England. There, Ramanujan continued his groundbreaking mathematical research until his untimely death in 1920 at the age of 32.
(1) Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics.
(2) He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age, mastering advanced mathematical concepts including trigonometry at age 13.
(3) Ramanujan received recognition for his genius and was invited to study at Trinity College, Cambridge in England. However, he struggled with the climate and culture in England and his health declined, and he ultimately returned to India where he passed away in 1920 at the young age of 32.
The document describes a "magic square" created by the magician Dinesh S. In a magic square, the sums of each row, column, and diagonal are equal. Interestingly, in Dinesh's square the sums also equal the sums of the corner numbers, colored boxes, central square, and various combinations of numbers. Most remarkably, the sums all equal 127, which is also Dinesh's date of birth: 21st January 1986. The square was inspired by mathematician Srinivasa Ramanujan's work with magic squares.
Football and behaviour of different nationsSandeep Goyal
This is an interesting profile how different nations have different behaviour and how it is reflected through this game of soccer. It may not be true for everyone but I do feel it has lot of sense based on my traveling that I observed. Someone sent me this presentation but I do not know you prepared this brilliant piece of work. I liked it very much,
The document provides information about Packaging Connections, an ISO 9001:2008 certified packaging organization that offers online packaging services and consultancy worldwide. It aims to create an online packaging knowledge center through networking, information sharing, and benefiting the packaging community. The organization's website connects packaging professionals from over 120 countries and receives thousands of unique visitors monthly. It has successfully completed various packaging consulting projects for clients covering areas like new product development, packaging optimization, customer surveys, quality assurance processes, product testing, and gap analyses.
A bird’s eye view of everyday scenes in India (Unique concept).
Eye in the sky over India: Camera on a kite snaps fabulous photographs
of the sub-continent.
The document discusses India's significant contributions to various fields throughout history as noted by several prominent figures. It highlights how India was the original cradle of human civilization and developed many fundamental concepts including the decimal system, place value, algebra, trigonometry, calculus, and more. India also made major contributions to fields like astronomy, medicine, surgery, physics, chemistry, arts, philosophy and non-violence. The document asserts that India has gifted much to the world throughout history.
Introduction Business Promotion July 2012Sandeep Goyal
This document discusses the global packaging scenario and opportunities for business promotion through an online packaging knowledge center. It aims to create an online community for packaging professionals to network, share information, and benefit the packaging industry. The site would offer packaging consultancy, support foreign companies, and sell packaging books and journals. Key facts provided include growth in the packaging sector by geography and materials. It also outlines services for brand promotion, visibility, and value addition to connect the global packaging industry network.
Introduction Business Promotion June 2012Sandeep Goyal
PackagingConnections.com is known to offer help to foreign packaging companies who want to set shop in India by way of market research, feasibility study and then initial business development until they set up their own. We also provide packaging consultation to companies worldwide on various activities like project management, specifications management, and development. Setting up AQL standards, in house packaging innovation newsletters for companies, mentoring packaging professionals worldwide, and igniting packaging innovation discussions are few of the others things that they do.
We as a company are continuously working towards closing the gap in the unorganized packaging sector in India through packaging portal www.PackagingConnections.com which is more than a knowledge management & sharing portal. The portal offers a wide array of resources like;
Sanex Packaging Connections is an online platform that connects buyers and suppliers in the packaging industry. It provides direct contacts without middlemen, weekly newsletters on industry trends, and a community for networking and job opportunities. Members can showcase products and innovations, receive feedback, and access research on the packaging market. The company aims to bridge information gaps in the end-to-end packaging industry.
2. RAMANUJAN’S MAGIC SQUARE
This square looks like
22 12 18 87 any other normal magic
square. But this is
88 17 9 25 formed by great
mathematician of our
10 24 89 16 country – Srinivasa
Ramanujan.
19 86 23 11
What is so great in it?
3. RAMANUJAN’S MAGIC SQUARE
Sum of numbers of
22 12 18 87 any row is 139.
88 17 9 25 What is so great in it.?
10 24 89 16
19 86 23 11
4. RAMANUJAN’S MAGIC SQUARE
Sum of numbers of
22 12 18 87 any column is also 139.
88 17 9 25 Oh, this will be there in
any magic square.
10 24 89 16
What is so great in it..?
19 86 23 11
5. RAMANUJAN’S MAGIC SQUARE
Sum of numbers of
22 12 18 87 any diagonal is also
139.
88 17 9 25
Oh, this also will be there
in any magic square.
10 24 89 16
19 86 23 11 What is so great in it…?
6. RAMANUJAN’S MAGIC SQUARE
Sum of corner
22 12 18 87 numbers is also 139.
Interesting?
88 17 9 25
10 24 89 16
19 86 23 11
7. RAMANUJAN’S MAGIC SQUARE
Look at these
22 12 18 87 possibilities. Sum of
identical coloured
88 17 9 25 boxes is also 139.
10 24 89 16 Interesting..?
19 86 23 11
8. RAMANUJAN’S MAGIC SQUARE
Look at these
22 12 18 87 possibilities. Sum of
identical coloured
88 17 9 25 boxes is also 139.
10 24 89 16 Interesting..?
19 86 23 11
9. RAMANUJAN’S MAGIC SQUARE
Look at these central
22 12 18 87 squares.
88 17 9 25 Interesting…?
10 24 89 16
19 86 23 11
10. RAMANUJAN’S MAGIC SQUARE
Can you try these
22 12 18 87 combinations?
88 17 9 25 Interesting…..?
10 24 89 16
19 86 23 11