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mathematics and Horner's
In this position he acquired a wide knowledge of Chinese religion and civilization, and especially of their mathematics, so that he was able to show that Sir George Horner's method ( 1819 ) of solving equations of all orders had been known to the Chinese mathematicians of the 14th century in his paper Jottings on the Science of the Chinese.

mathematics and method
Combinatorics is an example of a field of mathematics which does not, in general, follow the axiomatic method.
Two aspects of this attitude deserve to be mentioned: 1 ) he did not only study science from books, as other academics did in his day, but actually observed and experimented with nature ( the rumours starting by those who did not understand this are probably at the source of Albert's supposed connections with alchemy and witchcraft ), 2 ) he took from Aristotle the view that scientific method had to be appropriate to the objects of the scientific discipline at hand ( in discussions with Roger Bacon, who, like many 20th century academics, thought that all science should be based on mathematics ).
The first person to describe the mathematics behind Brownian motion was Thorvald N. Thiele in a paper on the method of least squares published in 1880.
Decision problems typically appear in mathematical questions of decidability, that is, the question of the existence of an effective method to determine the existence of some object or its membership in a set ; many of the important problems in mathematics are undecidable.
* Discharging method ( discrete mathematics ) is a proof technique in discrete mathematics
In mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor ( GCD ) of two integers, also known as the greatest common factor ( GCF ) or highest common factor ( HCF ).
In mathematics, Archimedes used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation of pi.
* Mathematical induction, a method of proof in the field of mathematics
In computational mathematics, an iterative method is a mathematical procedure that generates a sequence of improving approximate solutions for a class of problems.
As a curious specimen of his method, it may be mentioned that he regards the three stories of Noah's ark as symbolic of the three sciences mathematics, physics, and metaphysics.
Experimental mathematics continues to grow in importance within mathematics, and computation and simulation are playing an increasing role in both the sciences and mathematics, weakening the objection that mathematics does not use the scientific method.
The method of forcing is employed in set theory, model theory, and recursion theory, as well as in the study of intuitionistic mathematics.
Both believed that it was necessary to create a method that thoroughly linked mathematics and physics.
The thesis states that Turing machines indeed capture the informal notion of effective method in logic and mathematics, and provide a precise definition of an algorithm or ' mechanical procedure '.
Boole did not regard logic as a branch of mathematics, but he provided a general symbolic method of logical inference.
The term " natural science " is used to distinguish the subject matter from the social sciences, which apply the scientific method to study human behavior and social patterns ; the humanities, which use a critical or analytical approach to study the human condition ; and the formal sciences such as mathematics and logic, which use an a priori, as opposed to factual methodology to study formal systems.
The precise formulation of what are today recognized as correct statements of the laws of nature did not begin until the 17th century in Europe, with the beginning of accurate experimentation and development of advanced form of mathematics ( see scientific method ).
In addition to problems in science and mathematics, the method has been applied to: finance, social science, environmental risk assessment, linguistics, radiation therapy, sports, and many other fields.
In mathematics, the Banach fixed-point theorem ( also known as the contraction mapping theorem or contraction mapping principle ) is an important tool in the theory of metric spaces ; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces, and provides a constructive method to find those fixed points.

mathematics and also
Blind students also complete mathematical assignments using a braille-writer and Nemeth code ( a type of braille code for mathematics ) but large multiplication and long division problems can be long and difficult.
The axiom of choice has also been thoroughly studied in the context of constructive mathematics, where non-classical logic is employed.
Although the axiom of countable choice in particular is commonly used in constructive mathematics, its use has also been questioned.
It is also commonly used in mathematics in algebraic solutions representing quantities such as angles.
The term may be also used loosely or metaphorically to denote highly skilled people in any non -" art " activities, as well — law, medicine, mechanics, or mathematics, for example.
He also applied mathematics in generalizing physical laws from these experimental results.
Despite being quite religious, he was also interested in mathematics and science, and sometimes is claimed to have contradicted the teachings of the Church in favour of scientific theories.
He was educated at the Collège des Quatre-Nations ( also known as Collège Mazarin ) from 1754 to 1761, studying chemistry, botany, astronomy, and mathematics.
His criticisms of the scientific community, and especially of several mathematics circles, are also contained in a letter, written in 1988, in which he states the reasons for his refusal of the Crafoord Prize.
He is also noted for his mastery of abstract approaches to mathematics and his perfectionism in matters of formulation and presentation.
In mathematics, the axiom of regularity ( also known as the axiom of foundation ) is one of the axioms of Zermelo – Fraenkel set theory and was introduced by.
It can also be used in topics as diverse as mathematics, gastronomy, fashion and website design.
In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis.
He won a scholarship to the University and majored in mathematics, and also studied astronomy, physics and chemistry.
His father, Étienne Pascal ( 1588 – 1651 ), who also had an interest in science and mathematics, was a local judge and member of the " Noblesse de Robe ".
In chemistry, physics, and mathematics, the Boltzmann distribution ( also called the Gibbs Distribution ) is a certain distribution function or probability measure for the distribution of the states of a system.
Bioinformatics also deals with algorithms, databases and information systems, web technologies, artificial intelligence and soft computing, information and computation theory, structural biology, software engineering, data mining, image processing, modeling and simulation, discrete mathematics, control and system theory, circuit theory, and statistics.
It can also be used to denote abstract vectors and linear functionals in mathematics.
In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers which at the same time is also a Banach space.
The term can also be applied to some degree to functions in mathematics, referring to the anatomy of curves.
Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, and combinatorics also has many applications in optimization, computer science, ergodic theory and statistical physics.
It has also given rise to a new theory of the philosophy of mathematics, and many theories of artificial intelligence, persuasion and coercion.
Most undergraduate programs emphasize mathematics and physics as well as chemistry, partly because chemistry is also known as " the central science ", thus chemists ought to have a well-rounded knowledge about science.
Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows ( also called morphisms, although this term also has a specific, non category-theoretical meaning ), where these collections satisfy some basic conditions.

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