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In New York State, Regents Examinations are statewide standardized examinations in core high school subjects. Students were required to pass these exams to earn a Regents Diploma. To graduate, students are required to have earned appropriate credits in a number of specific subjects by passing year-long or half-year courses, after which they ...
The Mandelbrot set ( / ˈmændəlbroʊt, - brɒt /) [ 1][ 2] is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers for which the function does not ...
At the conclusion of this one-year course, students take a New York State Regents exam in Geometry. The first administration of this exam was in June 2009. Algebra II. This is the third and last course of the new three-year curriculum. It replaced the elements of "Math B" not covered in geometry.
In Euclidean geometry, a plane is a flat two- dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space . A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin. While a pair of real numbers suffices to describe points on a plane, the ...
Incircle and excircles. Incircle and excircles of a triangle. In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter. [ 1] An excircle or escribed circle[ 2 ...
Christine Hamill (1923–1956), English mathematician specializing in group theory and finite geometry; Mary-Elizabeth Hamstrom (1927–2009), American topologist; Xiaoying Han, Chinese mathematician who studies random dynamical systems and stochastic differential equations
Kite (geometry) A kite, showing its pairs of equal-length sides and its inscribed circle. In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal-length sides. Kites are also known as deltoids, [ 1] but the word deltoid may ...
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [ 1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [ 2] Geometry is, along with arithmetic, one of the ...