Site banner
.
Home Forums Blogs Articles Photos Videos Contact FAQ                    
.
.
Wisdom Archive
Body Mind and Soul
Faith and Belief
God and Religion
Law of Attraction
Life and Beyond
Love and Happiness
Peace of Mind
Peace on Earth
Personal Faith
Spiritual Festivals
Spiritual Growth
Spiritual Guidance
Spiritual Inspiration
Spirituality and Science
Spiritual Retreats
More Wisdom
Alternative Health Sitemap
Ayurveda Archives
Buddhism Archives
Hinduism Archives
Mysticism Archives
Paganism Archives
Parapsychology Archives
Religion Archives
Sanskrit Archives
Spiritual Archives
Sustainability
Theology Archives
Theosophy Archives
Yoga Archives
Even more Wisdom
2012 - Year 2012
Affirmations
Astrology
Aura
Ayurveda
Chakras
Consciousness
Cultural Creatives
Diksha (Deeksha)
Dream Dictionary
Dream Interpretation
Dream interpreter
Dreams
Enlightenment
Essential Oils
Feng Shui
Flower Essences
Gaia Hypothesis
Indigo Children
Kalki Bhagavan
Karma
Kundalini
Kundalini Yoga
Life after death
Mayan Calendar
Meaning of Dreams
Meditation
Mesothelioma
Morphogenetic Fields
Psychic Ability
Reincarnation
society
Spiritual Art, Music & Dance
Spiritual Awakening
Spiritual Enlightenment
Spiritual Healing
Spirituality and Health
Spiritual Jokes
Spiritual Parenting
Vastu Shastra
Womens Spirituality
Yoga
Yoga Positions
Site map 2
Site map


Dream Sharing Forum

at Global Oneness Community.
Share your dreams and let others help you with the interpretation!
Dream Sharing Forum





.

Yang Hui

A Wisdom Archive on Yang Hui

Yang Hui

A selection of articles related to Yang Hui

More material related to Yang Hui can be found here:
Index of Articles
related to
Yang Hui
Yang Hui


ARTICLES RELATED TO Yang Hui

Yang Hui: Encyclopedia - Binomial theorem

In mathematics, the binomial theorem is an important formula giving the expansion of powers of sums. Its simplest version reads whenever n is any non-negative integer, the numbers are the binomial coefficients, and n! denotes the factorial of n. This formula, and the triangular arrangement of the binomial coefficients, are often attributed to Blaise Pascal who described them in the 17th century. It was, however, known to Chinese mathematician Yang Hui in the 13th century. The Persian mathematicia ...

Including:

Read more here: » Binomial theorem: Encyclopedia - Binomial theorem

Yang Hui: Encyclopedia - Blaise Pascal

Blaise Pascal (June 19, 1623–August 19, 1662) was a French mathematician, physicist, and religious philosopher. Pascal was a child prodigy, who was educated by his father. Pascal's earliest work was in the natural and applied sciences, where he made important contributions to the construction of mechanical calculators and the study of fluids, and clarified the concepts of pressure and vacuum by expanding the work of Evangelista Torricelli. Pascal also w ...

Including:

Read more here: » Blaise Pascal: Encyclopedia - Blaise Pascal

Yang Hui: Encyclopedia II - Blaise Pascal - Mature life religion philosophy and literature

Blaise Pascal - Religious conversion. Biographically, we can say that two basic influences led him to his conversion: sickness and Jansenism. As early as his eighteenth year he suffered from a nervous ailment that left him hardly a day without pain. In 1647 a paralytic attack so disabled him that he could not move without crutches. His head ached, his bowels burned, his legs and feet were continually cold, and required wearisome aids to circulation of the blood; he wore stockings steeped in brandy to warm his fee ...

See also:

Blaise Pascal, Blaise Pascal - Early life and education, Blaise Pascal - Contributions to mathematics, Blaise Pascal - Philosophy of mathematics, Blaise Pascal - Contributions to the physical sciences, Blaise Pascal - Mature life religion philosophy and literature, Blaise Pascal - Religious conversion, Blaise Pascal - Upon brink of death, Blaise Pascal - The Provincial Letters, Blaise Pascal - Miracle, Blaise Pascal - The Pensées, Blaise Pascal - Last works and death, Blaise Pascal - Legacy, Blaise Pascal - Works, Blaise Pascal - Notes

Read more here: » Blaise Pascal: Encyclopedia II - Blaise Pascal - Mature life religion philosophy and literature

Yang Hui: Encyclopedia II - Magic square - Brief history of magic squares

Magic square - The Lo Shu Square 3x3 magic square. Chinese literature dating from as early as 2800 BC tells the legend of Lo Shu or "scroll of the river Lo". In ancient China, there was a huge flood. The people tried to offer some sacrifice to the river god of one of the flooding rivers, the Lo river, to calm his anger. Then, there emerged from the water a turtle with a curious figure/pattern on its shell; there were circular dots of numbers that were arranged in a three by three nine-grid pattern such that the s ...

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Brief history of magic squares

Yang Hui: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem

Isaac Newton generalized the formula to other exponents by considering an infinite series: where r can be any complex number (in particular r can be any real number, not necessarily positive and not necessarily an integer), and the coefficients are given by In case k = 0, this is a product of no numbers at all and therefore equal to 1, and in case k = 1 it is equal to r, as the additional factors (r − 1), etc., do not a ...

See also:

Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - Proof inductive, Binomial theorem - Trivia

Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem

Yang Hui: Encyclopedia II - Pascal's triangle - Geometric properties of Pascal's triangle

Pascal's triangle can be used as a lookup table for the number of arbitrarily dimensioned elements within a single arbitrarily dimensioned version of a triangle (known as a simplex). For example, consider the 3rd line of the triangle, with values 1, 3, 3, 1. A 2-dimensional triangle has one 2-dimensional element (itself), 3 1-dimensional elements (lines, or edges), and 3 0-dimensional elements (vertices, or corners). The meaning of the final number (1) is more difficult to explain (but see below). Continuing with our example, a tetrah ...

See also:

Pascal's triangle, Pascal's triangle - The triangle, Pascal's triangle - Uses of Pascal's triangle, Pascal's triangle - Properties of Pascal's triangle, Pascal's triangle - Geometric properties of Pascal's triangle, Pascal's triangle - Pascal's triangle and the matrix exponential, Pascal's triangle - History

Read more here: » Pascal's triangle: Encyclopedia II - Pascal's triangle - Geometric properties of Pascal's triangle

Yang Hui: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem

Isaac Newton generalized the formula to other exponents by considering an infinite series: where r can be any complex number (in particular r can be any real number, not necessarily positive and not necessarily an integer), and the coefficients are given by In case k = 0, this is a product of no numbers at all and therefore equal to 1, and in case k = 1 it is equal to r, as the additional factors (r − 1), etc., do not a ...

See also:

Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - A proof, Binomial theorem - Trivia

Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - Newton's generalized binomial theorem

Yang Hui: Encyclopedia II - Blaise Pascal - Mature life, religion, philosophy, and literature

Blaise Pascal - Religious conversion. Biographically, we can say that two basic influences led him to his conversion: sickness and Jansenism. As early as his eighteenth year he suffered from a nervous ailment that left him hardly a day without pain. In 1647 a paralytic attack so disabled him that he could not move without crutches. His head ached, his bowels burned, his legs and feet were continually cold, and required wearisome aids to circulation of the blood; he wore stockings steeped in brandy to warm his fee ...

See also:

Blaise Pascal, Blaise Pascal - Early life and education, Blaise Pascal - Contributions to mathematics, Blaise Pascal - Philosophy of mathematics, Blaise Pascal - Contributions to the physical sciences, Blaise Pascal - Mature life, religion, philosophy, and literature, Blaise Pascal - Religious conversion, Blaise Pascal - Upon brink of death, Blaise Pascal - The Provincial Letters, Blaise Pascal - Miracle, Blaise Pascal - The Pensées, Blaise Pascal - Last works and death, Blaise Pascal - Legacy, Blaise Pascal - Works, Blaise Pascal - Notes

Read more here: » Blaise Pascal: Encyclopedia II - Blaise Pascal - Mature life, religion, philosophy, and literature

Yang Hui: Encyclopedia II - Pascal's triangle - Properties of Pascal's triangle

Some simple patterns are immediately apparent in Pascal's triangle: The diagonals going along the left and right edges contain only 1s. The diagonals next to the edge diagonals contain the natural numbers in order. Moving inwards, the next pair of diagonals contain the triangle numbers in order. The next pair of diagonals contain the tetrahedral numbers in order, and the next pair give pentatope numbers. In general, each next pair of diagonals contains the next higher dimensional "d-triangle" numbers, whic ...

See also:

Pascal's triangle, Pascal's triangle - The triangle, Pascal's triangle - Uses of Pascal's triangle, Pascal's triangle - Properties of Pascal's triangle, Pascal's triangle - Geometric properties of Pascal's triangle, Pascal's triangle - Pascal's triangle and the matrix exponential, Pascal's triangle - History

Read more here: » Pascal's triangle: Encyclopedia II - Pascal's triangle - Properties of Pascal's triangle

Yang Hui: Encyclopedia II - Binomial theorem - A proof

We use mathematical induction. When n = 0, we have For the inductive step, assume the theorem holds when the exponent is m. Then for n = m + 1, (a + b)m + 1 = a(a + b)m + b(a + b)m by the inductive hypothesis

See also:

Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - A proof, Binomial theorem - Trivia

Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - A proof

Yang Hui: Encyclopedia II - Binomial theorem - Binomial type

The binomial theorem can be stated by saying that the polynomial sequence is of binomial type. ...

See also:

Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - A proof, Binomial theorem - Trivia

Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - Binomial type

Yang Hui: Encyclopedia II - Pascal's triangle - Uses of Pascal's triangle

Pascal's triangle has many uses in binomial expansions. For example (x + 1)2 = 1x2 + 2x + 12. Notice the coefficients are the third row of Pascal's triangle: 1, 2, 1. In general, when a binomial is raised to a positive integer power we have: (x + y)n = a0xn + a1xn−1y + a2xn−2y< ...

See also:

Pascal's triangle, Pascal's triangle - The triangle, Pascal's triangle - Uses of Pascal's triangle, Pascal's triangle - Properties of Pascal's triangle, Pascal's triangle - Geometric properties of Pascal's triangle, Pascal's triangle - Pascal's triangle and the matrix exponential, Pascal's triangle - History

Read more here: » Pascal's triangle: Encyclopedia II - Pascal's triangle - Uses of Pascal's triangle

Yang Hui: Encyclopedia II - Blaise Pascal - Legacy

In honor of his scientific contributions, the name Pascal has been given to the SI unit of pressure, to a programming language, and Pascal's law (an important principle of hydrostatics), and as mentioned above, Pascal's triangle and Pascal's wager still bear his name. In Canada, there is an annual math contest named in his honour. The Pascal Contest is open to any student in Canada that is 14 ye ...

See also:

Blaise Pascal, Blaise Pascal - Early life and education, Blaise Pascal - Contributions to mathematics, Blaise Pascal - Philosophy of mathematics, Blaise Pascal - Contributions to the physical sciences, Blaise Pascal - Mature life religion philosophy and literature, Blaise Pascal - Religious conversion, Blaise Pascal - Upon brink of death, Blaise Pascal - The Provincial Letters, Blaise Pascal - Miracle, Blaise Pascal - The Pensées, Blaise Pascal - Last works and death, Blaise Pascal - Legacy, Blaise Pascal - Works, Blaise Pascal - Notes

Read more here: » Blaise Pascal: Encyclopedia II - Blaise Pascal - Legacy

Yang Hui: Encyclopedia II - Blaise Pascal - Early life and education

Born in Clermont, in the Auvergne region of France, Blaise Pascal lost his mother, Antoinette Begon, at the age of three. His father, Étienne Pascal (1588–1651), was a local judge and member of the petite noblesse, who also had an interest in science and mathematics. Blaise Pascal was brother to Jacqueline Pascal and two other sisters, only one of whom, Gilberte, survived past childhood. In 1631, Étienne moved with his children to Paris. Étienne decided that he would educate his son, who showed extraordinary mental and int ...

See also:

Blaise Pascal, Blaise Pascal - Early life and education, Blaise Pascal - Contributions to mathematics, Blaise Pascal - Philosophy of mathematics, Blaise Pascal - Contributions to the physical sciences, Blaise Pascal - Mature life religion philosophy and literature, Blaise Pascal - Religious conversion, Blaise Pascal - Upon brink of death, Blaise Pascal - The Provincial Letters, Blaise Pascal - Miracle, Blaise Pascal - The Pensées, Blaise Pascal - Last works and death, Blaise Pascal - Legacy, Blaise Pascal - Works, Blaise Pascal - Notes

Read more here: » Blaise Pascal: Encyclopedia II - Blaise Pascal - Early life and education

Yang Hui: Encyclopedia II - Binomial theorem - Proof inductive

When n = 1, . For the inductive step, assume it holds for m. Then for n = m + 1, (a + b)m + 1 = a(a + b)m + b(a + b)m = by the inductive hypot ...

See also:

Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - Proof inductive, Binomial theorem - Trivia

Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - Proof inductive

Yang Hui: Encyclopedia II - Blaise Pascal - Contributions to mathematics

In addition to the childhood marvels recorded above, Pascal continued to influence mathematics throughout his life. In 1653 Pascal wrote his Traité du triangle arithmétique in which he described a convenient tabular presentation for binomial coefficients, the "arithmetical triangle", now called Pascal's triangle. (It should be noted, however, that Yang Hui, a Chinese mathematician of the Qin dynasty, had independently worked out a ...

See also:

Blaise Pascal, Blaise Pascal - Early life and education, Blaise Pascal - Contributions to mathematics, Blaise Pascal - Philosophy of mathematics, Blaise Pascal - Contributions to the physical sciences, Blaise Pascal - Mature life religion philosophy and literature, Blaise Pascal - Religious conversion, Blaise Pascal - Upon brink of death, Blaise Pascal - The Provincial Letters, Blaise Pascal - Miracle, Blaise Pascal - The Pensées, Blaise Pascal - Last works and death, Blaise Pascal - Legacy, Blaise Pascal - Works, Blaise Pascal - Notes

Read more here: » Blaise Pascal: Encyclopedia II - Blaise Pascal - Contributions to mathematics

Yang Hui: Encyclopedia II - Magic square - Related problems

Magic square - Magic Square of Primes. Rudolf Ondrejka discovered the following 3x3 magic square of primes, in this case nine Chen primes: Magic square - n-Queens problem. In 1992, Demirörs, Rafraf, and Tanik published a method for converting some magic squares into N-queens solutions, and vice versa. ...

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Related problems

Yang Hui: Encyclopedia II - Magic square - Generalizations

Magic square - Extra constraints. Certain extra restrictions can be imposed on magical squares. If not only the main diagonals but also the broken diagonals sum to the magic constant, the result is a panmagic square. If raising each number to certain powers yields another magic square, the result is a bimagic, a trimagic, or, in general, a multimagic square. ...

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Generalizations

Yang Hui: Encyclopedia II - Magic square - Types of magic squares and their construction

There are many ways to construct magic squares, but the standard (and most simple) way is to follow certain configurations / formulas which generate regular patterns. Magic squares exist for all values of n, with only one exception - it is impossible to construct a magic square of order 2. Magic squares can be classified into three types: odd, doubly even (n divisible by four) and singly even (n even, but not divisible by four). Odd and doubly even magic squares are easy to generate; the construction of singly even magic ...

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Types of magic squares and their construction

Yang Hui: Encyclopedia II - Binomial theorem - Binomial type

The binomial theorem can be stated by saying that the polynomial sequence is of binomial type. ...

See also:

Binomial theorem, Binomial theorem - Newton's generalized binomial theorem, Binomial theorem - Binomial type, Binomial theorem - Proof inductive, Binomial theorem - Trivia

Read more here: » Binomial theorem: Encyclopedia II - Binomial theorem - Binomial type

More material related to Yang Hui can be found here:
Index of Articles
related to
Yang Hui





Search the Global Oneness web site
Global Oneness is a huge, really huge, web site. Almost whatever you are searching for within health, spirituality, personal development and inspirationals - you will find it here!
Google
 
 

Rate this archive!

Please rate this archive with 10 as very good and 1 as very poor.

.






**************************




Global Oneness Community

Hi friend! Join the Global Oneness Community, the place for information and sharing about Oneness.
Check out some of the topics discussed right now:

Who do you pray to?
Is god a man, a women, both or... neither?
The Meaning of Life
What happens 2012?
What would you say to God?
Is a Paradigm Shift happening?
Is Suicide a Sin?
Out of body while meditating
Feeling emotions of other people
Subservience
Reincarnation
Dream Sharing
Death
Depression
Law of Attraction

Oneness
Free Will or Destiny?
Life After Death
The Energy of Consciousness
Deeksha
Religion or Spirituality?
The Need for Prayer?
Celestine Prophecy
Mind altering substances
Chaos vs Destruction
Forgiveness
Speaking to Stones
Reincarnation
Can souls recognize each other?
Morphogenetic fields?
Do children chose their parents?
Consciousness
Dealing With Hardship
Spiritual Crisis
Forum Home, Articles, Photos, Videos, Sitemap
...and much more!




 
Photos from Oneness University and Oneness Temple.