Pascal: Difference between revisions

From WikiMD's Wellness Encyclopedia

CSV import
 
CSV import
 
Line 1: Line 1:
'''Pascal''' is a [[high-level programming language]] developed by [[Niklaus Wirth]] in the late 1960s. The language is named after [[Blaise Pascal]], a seventeenth-century French mathematician who constructed one of the first mechanical adding machines.
{{Infobox scientist
| name = Blaise Pascal
| image =
| caption =
| birth_date = 19 June 1623
| birth_place = Clermont-Ferrand, Auvergne, France
| death_date = 19 August 1662
| death_place = Paris, France
| nationality = French
| fields = Mathematics, physics, philosophy, theology
| known_for = Pascal's theorem, Pascal's triangle, Pascal's law
}}


== History ==
'''Blaise Pascal''' (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. Pascal's earliest work was in the natural and applied sciences where he made important contributions to the study of fluids, and clarified the concepts of pressure and vacuum by generalizing the work of [[Evangelista Torricelli]]. Pascal also wrote in defense of the scientific method.
The Pascal programming language was created in 1968-1969 and published in 1970 by Niklaus Wirth, a member of the International Federation of Information Processing (IFIP) Working Group 2.1. The language was named in honor of Blaise Pascal, a French mathematician who made significant contributions to the fields of geometry, physics, and computer science.


== Design ==
== Early life and education ==
Pascal was designed to encourage good programming practices using [[structured programming]] and [[data structuring]]. It is a statically typed language, which means that the type of a variable is known at compile time. This is in contrast to dynamically typed languages, where the type is checked at runtime.
Blaise Pascal was born in Clermont-Ferrand, which is now part of modern-day France. His mother, Antoinette Begon, died when he was only three years old. His father, Étienne Pascal, was involved in the legal and administrative system but also had a strong interest in science and mathematics. Étienne, who had lost his wife, moved the family to Paris. Pascal was introduced to mathematics and physics at a young age, showing an extraordinary talent for the subject.


== Syntax ==
== Contributions to Mathematics ==
Pascal's syntax is based on the ALGOL programming language. It uses English keywords such as 'begin', 'end', 'if', 'then', 'else', 'while', 'do', 'not', 'or', and 'and'. It also uses semicolons to separate statements, and periods to end a program.
Pascal's significant contributions to the field of mathematics include the invention of the mechanical calculator, contributions to the theory of probability, and the development of [[Pascal's triangle]] and [[Pascal's theorem]]. His work on the calculation of probabilities laid the foundation for modern economics and social science.


== Features ==
=== Pascal's Triangle ===
Pascal supports a number of features that make it a powerful and flexible language. These include strong typing, automatic garbage collection, and support for object-oriented programming.
[[Pascal's Triangle]] is a triangular array of the binomial coefficients. It has many applications in mathematics, including algebra, probability, and number theory. The triangle is used to calculate combinations and to find coefficients in binomial expansion.


== Implementations ==
=== Pascal's Theorem ===
There have been many implementations of Pascal, including [[Turbo Pascal]], [[Free Pascal]], and [[Delphi (software)|Delphi]]. These implementations have added many extensions to the original language, including support for graphics, sound, and complex data structures.
In projective geometry, Pascal's theorem (or the Mystic Hexagram) states that if six arbitrary points are chosen on a conic (a circle, ellipse, parabola, or hyperbola) and joined by line segments in any order to form a hexagon, then the three pairs of opposite sides of the hexagon (extended if necessary) will meet at three points lying on a straight line, called the Pascal line.


== Legacy ==
== Contributions to Physics ==
Despite its age, Pascal remains a popular teaching language in universities and schools around the world. It has also influenced many other programming languages, including [[Modula-2]], [[Ada (programming language)|Ada]], and [[Python (programming language)|Python]].
Pascal also made significant contributions to the field of hydrodynamics and hydrostatics, and his inventions include the hydraulic press and the syringe. He is also known for Pascal's law (the principle of transmission of fluid-pressure).
 
== Religious Philosophy ==
In later life, Pascal pursued religious philosophy. His most influential theological work, the ''[[Pensées]]'', was a collection of fragments on theological and philosophical topics. It was published posthumously and outlined his views on the human condition, arguing for a belief in God as a "wager" that was in one's best interest.
 
== Death and Legacy ==
Pascal's health was always weak, and his death came just two months after his 39th birthday. His contributions to mathematics and science, such as Pascal's wager, Pascal's triangle, and Pascal's law, continue to influence various fields of study.


== See also ==
== See also ==
* [[ALGOL]]
* [[List of French inventors and discoverers]]
* [[C (programming language)|C]]
* [[History of mathematics]]
* [[Java (programming language)|Java]]
* [[History of physics]]
 
== References ==
<references />


== External links ==
[[Category:1623 births]]
* [http://www.pascal-programming.info/ Pascal Programming Info]
[[Category:1662 deaths]]
* [http://www.freepascal.org/ Free Pascal]
[[Category:French mathematicians]]
[[Category:French physicists]]
[[Category:Philosophers of science]]
[[Category:French theologians]]
[[Category:History of calculus]]
[[Category:History of mechanical engineering]]


[[Category:Programming languages]]
{{mathematics-stub}}
[[Category:Pascal (programming language)]]
{{stub}}

Latest revision as of 14:23, 13 August 2024

Blaise Pascal








Birth date19 June 1623
Birth placeClermont-Ferrand, Auvergne, France
Died19 August 1662
Place of deathParis, France
NationalityFrench
Known forPascal's theorem, Pascal's triangle, Pascal's law


Blaise Pascal (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. Pascal's earliest work was in the natural and applied sciences where he made important contributions to the study of fluids, and clarified the concepts of pressure and vacuum by generalizing the work of Evangelista Torricelli. Pascal also wrote in defense of the scientific method.

Early life and education[edit]

Blaise Pascal was born in Clermont-Ferrand, which is now part of modern-day France. His mother, Antoinette Begon, died when he was only three years old. His father, Étienne Pascal, was involved in the legal and administrative system but also had a strong interest in science and mathematics. Étienne, who had lost his wife, moved the family to Paris. Pascal was introduced to mathematics and physics at a young age, showing an extraordinary talent for the subject.

Contributions to Mathematics[edit]

Pascal's significant contributions to the field of mathematics include the invention of the mechanical calculator, contributions to the theory of probability, and the development of Pascal's triangle and Pascal's theorem. His work on the calculation of probabilities laid the foundation for modern economics and social science.

Pascal's Triangle[edit]

Pascal's Triangle is a triangular array of the binomial coefficients. It has many applications in mathematics, including algebra, probability, and number theory. The triangle is used to calculate combinations and to find coefficients in binomial expansion.

Pascal's Theorem[edit]

In projective geometry, Pascal's theorem (or the Mystic Hexagram) states that if six arbitrary points are chosen on a conic (a circle, ellipse, parabola, or hyperbola) and joined by line segments in any order to form a hexagon, then the three pairs of opposite sides of the hexagon (extended if necessary) will meet at three points lying on a straight line, called the Pascal line.

Contributions to Physics[edit]

Pascal also made significant contributions to the field of hydrodynamics and hydrostatics, and his inventions include the hydraulic press and the syringe. He is also known for Pascal's law (the principle of transmission of fluid-pressure).

Religious Philosophy[edit]

In later life, Pascal pursued religious philosophy. His most influential theological work, the Pensées, was a collection of fragments on theological and philosophical topics. It was published posthumously and outlined his views on the human condition, arguing for a belief in God as a "wager" that was in one's best interest.

Death and Legacy[edit]

Pascal's health was always weak, and his death came just two months after his 39th birthday. His contributions to mathematics and science, such as Pascal's wager, Pascal's triangle, and Pascal's law, continue to influence various fields of study.

See also[edit]


Stub icon
   This article is a mathematics-related stub. You can help WikiMD by expanding it!