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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 ...
A Regents exam was taken at the end of the 1 + 1 ⁄ 2-year course. The Math B Regents was often considered one of the most difficult New York State Regents. Math B covered concepts that can be found in trigonometry and advanced algebra, and prepared students for pre-calculus and calculus and reviewed past topics.
In elementary plane geometry, the power of a point is a real number that reflects the relative distance of a given point from a given circle. It was introduced by Jakob Steiner in 1826. [ 1] Specifically, the power of a point with respect to a circle with center and radius is defined by. If is outside the circle, then , if is on the circle ...
Geometric mechanics. Geometric mechanics is a branch of mathematics applying particular geometric methods to many areas of mechanics, from mechanics of particles and rigid bodies to fluid mechanics and control theory . Geometric mechanics applies principally to systems for which the configuration space is a Lie group, or a group of ...
Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects. The fundamental objects of study in algebraic geometry are algebraic ...
Jordan algebra. In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms: ( commutative law) ( Jordan identity ). The product of two elements x and y in a Jordan algebra is also denoted x ∘ y, particularly to avoid confusion with the product of a related associative ...
Symmedian. In geometry, symmedians are three particular lines associated with every triangle. They are constructed by taking a median of the triangle (a line connecting a vertex with the midpoint of the opposite side), and reflecting the line over the corresponding angle bisector (the line through the same vertex that divides the angle there in ...