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  2. Frobenius normal form - Wikipedia

    en.wikipedia.org/wiki/Frobenius_normal_form

    The form is named after German mathematician Ferdinand Georg Frobenius. Some authors use the term rational canonical form for a somewhat different form that is more properly called the primary rational canonical form. Instead of decomposing into a minimum number of cyclic subspaces, the primary form decomposes into a maximum number of cyclic ...

  3. Golden ratio base - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio_base

    For subtraction, subtract each pair of digits without borrow (borrow is a negative amount of carry), and then convert the numeral to standard form. For multiplication, multiply in the typical base-10 manner, without carry, then convert the numeral to standard form. For example, 2 + 3 = 10.01 + 100.01 = 110.02 = 110.1001 = 1000.1001

  4. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    Any real number can be written in the form m × 10 ^ n in many ways: for example, 350 can be written as 3.5 × 10 2 or 35 × 10 1 or 350 × 10 0. In normalized scientific notation (called "standard form" in the United Kingdom), the exponent n is chosen so that the absolute value of m remains at least one but less than ten (1 ≤ | m | < 10).

  5. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...

  6. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    Several authors have claimed that Seurat employed the golden ratio in his paintings, but Seurat's writings and paintings suggest that he employed simple whole-number ratios and any approximation of the golden ratio was coincidental.) [116] The Cubists observed in its harmonies, geometric structuring of motion and form, "the primacy of idea over ...

  7. Canonical form - Wikipedia

    en.wikipedia.org/wiki/Canonical_form

    In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical expression. Often, it is one which provides the simplest representation of an object and allows it to be identified in a unique way.

  8. Normalized number - Wikipedia

    en.wikipedia.org/wiki/Normalized_number

    Simply speaking, a number is normalized when it is written in the form of a × 10 n where 1 ≤ |a| < 10 without leading zeros in a. This is the standard form of scientific notation . An alternative style is to have the first non-zero digit after the decimal point.

  9. Standard form - Wikipedia

    en.wikipedia.org/wiki/Standard_form

    Numbers in standard form are written in this format: a×10 n Where a is a number 1 ≤ a < 10 and n is an integer. ln mathematics and science Canonical form; Standard form (Ax + By = C) – a common form of a linear equation; The more common term for normalised scientific notation in British English and Caribbean English; In government