# What is the point of Pascal’s triangle?

The binomial theorem refers to the pattern of coefficients (numbers that appear in front of variables) that appear when a binomial is multiplied by itself a certain number of times. Mathematically, this is written as (x + y)n. Pascal’s triangle can be used to determine the expanded pattern of coefficients.

Also to know is, where did Pascal’s triangle come from?

In mathematics, Pascal’s triangle is a triangular array of the binomial coefficients. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India, Persia (Iran), China, Germany, and Italy.

What is Pascal most famous for?

Blaise Pascal, in his short 39 years of life, made many contributions and inventions in several fields. He is well known in both the mathematics and physics fields. In mathematics, he is known for contributing Pascal’s triangle and probability theory. He also invented an early digital calculator and a roulette machine.

Who invented the concept of probability?

The mathematical theory of probability has its roots in attempts to analyze games of chance by Gerolamo Cardano in the sixteenth century, and by Pierre de Fermat and Blaise Pascal in the seventeenth century (for example the “problem of points”).

## Is the Sierpinski triangle a fractal?

The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles.

## What is the formula for Pascal?

Pascal’s Identity is a useful theorem of combinatorics dealing with combinations (also known as binomial coefficients). It can often be used to simplify complicated expressions involving binomial coefficients. Pascal’s Identity is also known as Pascal’s Rule, Pascal’s Formula, and occasionally Pascal’s Theorem.

## Who was Pascal’s triangle named after?

In mathematics, Pascal’s triangle is a triangular array of the binomial coefficients. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India, Persia (Iran), China, Germany, and Italy.

## What is the Pascal’s principle?

Pascal’s law (also Pascal’s principle or the principle of transmission of fluid-pressure) is a principle in fluid mechanics that states that a pressure change occurring anywhere in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.

## What is the binomial theorem for?

Sections: The formulas, Worked examples. The Binomial Theorem is a quick way (okay, it’s a less slow way) of expanding (or multiplying out) a binomial expression that has been raised to some (generally inconveniently large) power. For instance, the expression (3x – 2)10 would be very painful to multiply out by hand.

Blaise Pascal

## Where was the triangle instrument made?

It is a bar of metal, usually steel but sometimes other metals such as beryllium copper, bent into a triangle shape. The instrument is usually held by a loop of some form of thread or wire at the top curve. It was first made around the 16th century in England.

## What is the binomial coefficient?

The binomial coefficient is the number of ways of picking unordered outcomes from possibilities, also known as a combination or combinatorial number. The symbols and are used to denote a binomial coefficient, and are sometimes read as ” choose .”

## Where did Pascal live?

Born in 1623 in Clermont, France, Blaise Pascal is one of the most well known mathematicians of all times. His mother, Antoinette, died when he was only three, leaving his father to raise the sickly Blaise and his two sisters, Gilberte and Jacqueline. After the death of his wife, Étienne moved the family to Paris.

## Who was the scientist Pascal?

Mathematician Blaise Pascal was born on June 19, 1623, in Clermont-Ferrand, France. In the 1640s he invented the Pascaline, an early calculator, and further validated Evangelista Torricelli’s theory concerning the cause of barometrical variations.

## Who was the first mathematician?

As a result, he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. Pythagoras established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was “All is number”.

## What did Pascal discover?

Blaise Pascal, in his short 39 years of life, made many contributions and inventions in several fields. He is well known in both the mathematics and physics fields. In mathematics, he is known for contributing Pascal’s triangle and probability theory. He also invented an early digital calculator and a roulette machine.

## What religion is Pascal?

Influenced[show] Blaise Pascal (/pæˈskæl, p?ːˈsk?ːl/; French: [bl?z paskal]; 19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, writer and Catholic theologian. He was a child prodigy who was educated by his father, a tax collector in Rouen.

## Who created Pascal?

The Pascal programming language, which was based on the ALGOL computer language, was developed in the late 1960’s and was named after Blaise Pascal — a French mathematician, responsible for a series of discoveries and who also invented the first calculator (called Pascaline) in 1645.

## Who is the inventor of email?

The death of Ray Tomlinson, credited as the inventor of email, has rekindled the controversy over VA Shiva Ayyadurai’s place in history. Here, he gives his version of how he invented the email. Ray Tomlinson is universally credited as the creator of email as part of a program for ARPANET in 1971.

## Why is Charles Babbage famous?

Charles Babbage was born on Dec. 26, 1791 in England. He was a polymath and became a mathematician, mechanical engineer, inventor, and philosopher. He contributed to many different scientific fields but his most famous work is designing a programmable computing device.