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Bijaganita (IAST: Bījagaṇita) was treatise on algebra by the Indian mathematician Bhāskara II. It is the second volume of his main work Siddhānta Shiromani ("Crown of treatises") [1] alongside Lilāvati, Grahaganita and Golādhyāya. [2] [3]
Johann Heinrich Rahn in 1656. Johann Rahn [1] (Latinised form Rhonius) (10 March 1622 – 25 May 1676) was a Swiss mathematician who is credited with the first use of the division sign, ÷ (a repurposed obelus variant) [2] and the therefore sign, ∴. [3]
A right Hilbert algebra is defined similarly (with an involution ♭) with left and right reversed in the conditions above. A (unimodular) Hilbert algebra is a left Hilbert algebra for which ♯ is an isometry, in other words (x, y) = (y ♯, x ♯). In this case the involution is denoted by x* instead of x ♯ and coincides with modular ...
Al-Jabr (Arabic: الجبر), also known as The Compendious Book on Calculation by Completion and Balancing (Arabic: الكتاب المختصر في حساب الجبر والمقابلة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; [b] or Latin: Liber Algebræ et Almucabola), is an Arabic mathematical treatise on algebra written in Baghdad around 820 by the Persian polymath ...
An alternative approach that uses the matrix form of the quadratic equation is based on the fact that when the center is the origin of the coordinate system, there are no linear terms in the equation. Any translation to a coordinate origin (x 0, y 0), using x* = x – x 0, y* = y − y 0 gives rise to
In linear algebra, linear transformations can be represented by matrices.If is a linear transformation mapping to and is a column vector with entries, then there exists an matrix , called the transformation matrix of , [1] such that: = Note that has rows and columns, whereas the transformation is from to .
In mathematics, a geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in higher-dimensional objects called multivectors ...
Fangcheng (sometimes written as fang-cheng or fang cheng) (Chinese: 方程; pinyin: fāngchéng) is the title of the eighth chapter of the Chinese mathematical classic Jiuzhang suanshu (The Nine Chapters on the Mathematical Art) composed by several generations of scholars who flourished during the period from the 10th to the 2nd century BC.