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  2. Imaginary number - Wikipedia

    en.wikipedia.org/wiki/Imaginary_number

    An illustration of the complex plane. The imaginary numbers are on the vertical coordinate axis. Although the Greek mathematician and engineer Heron of Alexandria is noted as the first to present a calculation involving the square root of a negative number, [6] [7] it was Rafael Bombelli who first set down the rules for multiplication of complex numbers in 1572.

  3. Mathematical visualization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_visualization

    Mathematical visualization is used throughout mathematics, particularly in the fields of geometry and analysis. Notable examples include plane curves , space curves , polyhedra , ordinary differential equations , partial differential equations (particularly numerical solutions, as in fluid dynamics or minimal surfaces such as soap films ...

  4. Image (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Image_(mathematics)

    In mathematics, for a function :, the image of an input value is the single output value produced by when passed . The preimage of an output value y {\displaystyle y} is the set of input values that produce y {\displaystyle y} .

  5. Imaginary unit - Wikipedia

    en.wikipedia.org/wiki/Imaginary_unit

    The imaginary unit i in the complex plane: Real numbers are conventionally drawn on the horizontal axis, and imaginary numbers on the vertical axis.. The imaginary unit or unit imaginary number (i) is a mathematical constant that is a solution to the quadratic equation x 2 + 1 = 0.

  6. Imagining Numbers - Wikipedia

    en.wikipedia.org/wiki/Imagining_Numbers

    Imagining Numbers: (particularly the square root of minus fifteen) is a 2003 popular mathematics book by mathematician Barry Mazur. [1] The aim of the book is not a history of imaginary numbers but an attempt to re-create, in ourselves, the shift of mathematical thought that makes it possible to imagine these numbers. [2]

  7. Mathematical notation - Wikipedia

    en.wikipedia.org/wiki/Mathematical_notation

    Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein 's formula E = m c 2 {\displaystyle E=mc^{2}} is the quantitative representation in mathematical notation of mass–energy ...

  8. Zero-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Zero-dimensional_space

    In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. [1] A graphical illustration of a zero-dimensional space is a point. [2]

  9. Concept image and concept definition - Wikipedia

    en.wikipedia.org/wiki/Concept_image_and_concept...

    A concept definition is similar to the usual notion of a definition in mathematics, with the distinction that it is personal to an individual: "a personal concept definition can differ from a formal concept definition, the latter being a concept definition which is accepted by the mathematical community at large." [1]