From these four, a multitude of equations, relating the thermodynamic properties of the thermodynamic system can be derived using relatively simple mathematics.

In mathematics, the classification of the finite simple groups is a theorem stating that every finite simple group belongs to one of four categories described below.

In mathematics, an elementary function is a function of one variable built from a finite number of exponentials, logarithms, constants, and nth roots through composition and combinations using the four elementary operations (+ – × ÷).

These first four perfect numbers were the only ones known to early Greek mathematics, and the mathematician Nicomachus had noted 8, 128 as early as 100 AD.

The difference is that whereas SWEBOK defines the software engineering knowledge that practitioners should have after four years of practice, SE2004 defines the knowledge that an undergraduate software engineering student should possess upon graduation ( including knowledge of mathematics, general engineering principles, and other related areas ).

He then undertook his first four years of secondary education at the same establishment, excelling in French, Greek, Latin and history but doing poorly at mathematics.

In the four semesters of his studies he attended approximately twenty courses of lectures, most of them on mathematics and physics.

The book is a series of diary entries by each of the four main characters: Zebadiah John Carter, programmer Dejah Thoris " Deety " Burroughs Carter, her mathematics professor father Jacob Burroughs, and an off-campus socialite Hilda Corners.

Over the next four years, Grassmann passed examinations enabling him to teach mathematics, physics, chemistry, and mineralogy at all secondary school levels.

The book is divided into four parts: logic, natural sciences, mathematics ( a quadrivium of arithmetic, geometry, astronomy, and music ), and metaphysics.

She is best known for her role as Winnie Cooper in the television show The Wonder Years, and later as the New York Times bestselling author of four popular non-fiction books: Math Doesn't Suck, Kiss My Math, Hot X: Algebra Exposed and Girls Get Curves: Geometry Takes Shape, which encourage middle-school and high-school girls to have confidence and succeed in mathematics.

Hamming had four explanations for the ' effectiveness ' that we see with mathematics and definitely saw this topic as worthy of discussion and study.

Together with model theory, axiomatic set theory, and recursion theory, proof theory is one of the so-called four pillars of the foundations of mathematics.

In Spain, a civil engineering degree can be obtained after four years of study in the various branches of mathematics, physics, mechanics, etc.

English words for mathematics typically have Greek and Latin roots, while corresponding Chinese words are usually translations of neologisms from Western languages ; thus quadrilateral ( from Latin quadri-" four " and latus " sided ") is generally less informative than Chinese sibianxing 四邊形 ( literally, " four-side-shape ").

There are 3 types of gymnasiums: most commonly 1 ) general gymnasium ( општа гимназија ) which offers broad education in either 2 ) natural ( природно-математички смер ) or 3 ) social studies ( друштвени смер ), available all over Serbia, and a few specialised ones, i. e. science and mathematics ( природно-математичка гимназија ) -- only one in all of Serbia, in Belgrade ; sports ( спортска гиманзија ) -- just two in Serbia ; and language gymnasiums ( филолошка гимназија ) -- a total of four in Serbia.

In mathematics, Euler's four-square identity says that the product of two numbers, each of which is a sum of four squares, is itself a sum of four squares.

The Dirac Prize is the name of four prominent awards in the field of theoretical physics, computational chemistry, and mathematics, awarded by different organizations, named in honour of Professor Paul Dirac, one of the great theoretical physicists of the 20th Century.

He was the head of the astronomical observatory at Ujjain, and during his tenure there wrote four texts on mathematics and astronomy: the Cadamekela in 624, the Brahmasphutasiddhanta in 628, the Khandakhadyaka in 665, and the Durkeamynarda in 672.

At the undergraduate level, Sarah Lawrence offers a Bachelor of Arts degree in liberal arts where, instead of traditional majors, students pursue a wide variety of courses in four different curricular distributions: the Creative Arts ( writing, music, dance, theatre, film, and the plastic arts, such as painting, printmaking, drawing and sculpture ); history and the social sciences ( e. g., anthropology, economics, political science, and sociology ); the humanities ( e. g., Asian studies, art history, film studies, languages, literature, philosophy, and religion ); and natural science and mathematics ( biology, chemistry, physics, computer science, and mathematics ).

A Plane ( mathematics ) | planar map with five colors such that no two regions with the same color meet.

The color ( chromaticity ) of black-body radiation depends on the temperature of the black body ; the Locus ( mathematics ) | locus of such colors, shown here in CIE 1931 color space | CIE 1931 x, y space, is known as the Planckian locus.

In the twentieth century, mathematics educators started to adopt some of these systems, as reviewed in examples below, but often switched to more abstract color coding to represent quantities up to ten.

Two notable examples in mathematics that have been solved and closed by researchers in the late twentieth century are Fermat's Last Theorem and the four color map theorem.

In the late 1990s, a former mathematics teacher, school counselor, and administrator, Pat Martin, was hired by The Education Trust to focus the school counseling profession on closing the achievement gap that harmed children and adolescents of color, poor and working class children and adolescents, bilingual children and adolescents and children and adolescents with disabilities.

In mathematics, the Heawood number of a surface is a certain upper bound for the maximal number of colors needed to color any graph embedded in the surface.

The Algebra Project is a national U. S. mathematics literacy effort aimed at helping low-income students and students of color successfully achieve mathematical skills that are a prerequisite for a college preparatory mathematics sequence in high school.

In mathematics, the Borsuk – Ulam theorem, named after Stanisław Ulam and Karol Borsuk, states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.

Following Desargues ' thinking, the sixteen-year-old Pascal produced, as a means of proof, a short treatise on what was called the " Mystic Hexagram ", Essai pour les coniques (" Essay on Conics ") and sent it — his first serious work of mathematics — to Père Mersenne in Paris ; it is known still today as Pascal's theorem.

In mathematics terminology, the vector space of bras is the dual space to the vector space of kets, and corresponding bras and kets are related by the Riesz representation theorem.

In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem.

In mathematics, a Gödel code was the basis for the proof of Gödel's incompleteness theorem.

* Crystallographic restriction theorem, in mathematics

The classification theorem has applications in many branches of mathematics, as questions about the structure of finite groups ( and their action on other mathematical objects ) can sometimes be reduced to questions about finite simple groups.

Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development.

Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769.

Gödel's incompleteness theorem, another celebrated result, shows that there are inherent limitations in what can be achieved with formal proofs in mathematics.

The ineffectiveness of the completeness theorem can be measured along the lines of reverse mathematics.

In mathematics, specifically commutative algebra, Hilbert's basis theorem states that every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated.

In mathematics, the Hahn – Banach theorem is a central tool in functional analysis.

Of course, our understanding of what the theorem really means gains in profundity as the mathematics around the theorem grows.

In mathematics, the Poincaré conjecture ( ; ) is a theorem about the characterization of the three-dimensional sphere ( 3-sphere ), which is the hypersphere that bounds the unit ball in four-dimensional space.

In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms.

On the other hand, a deep theorem may be simply stated, but its proof may involve surprising and subtle connections between disparate areas of mathematics.

Some, on the other hand, may be called " deep ": their proofs may be long and difficult, involve areas of mathematics superficially distinct from the statement of the theorem itself, or show surprising connections between disparate areas of mathematics.

Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order ( number of elements ) of every subgroup H of G divides the order of G. The theorem is named after Joseph Lagrange.