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  2. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    As an example, the distance squared between the points (0,0,0,0) and (1,1,1,0) is 3 in both the Euclidean and Minkowskian 4-spaces, while the distance squared between (0,0,0,0) and (1,1,1,1) is 4 in Euclidean space and 2 in Minkowski space; increasing b 4 decreases the metric distance. This leads to many of the well-known apparent "paradoxes ...

  3. Five-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Five-dimensional_space

    The first approach is space-time-matter, which utilizes an unrestricted group of 5D coordinate transforms to derive new solutions of the Einstein's field equations that agree with the corresponding classical solutions in 4D spacetime. [8] Another 5D representation describes quantum physics from a thermal-space-time ensemble perspective and ...

  4. Four-current - Wikipedia

    en.wikipedia.org/wiki/Four-current

    This can also be expressed in terms of the four-velocity by the equation: [2] [3] = = where: is the charge density measured by an inertial observer O who sees the electric current moving at speed u (the magnitude of the 3-velocity);

  5. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    16 5D with 4D surfaces. Toggle 5D with 4D surfaces subsection. 16.1 Honeycombs. 17 Six dimensions. Toggle Six dimensions subsection. 17.1 Honeycombs. 18 Seven dimensions.

  6. Are 5D Ultrasounds Even a Real Thing? - AOL

    www.aol.com/news/5d-ultrasounds-real-thing...

    5D ultrasounds claim to be the “gold standard” of ultrasound technology, but are they any different to 3D ultrasounds?

  7. Dimension - Wikipedia

    en.wikipedia.org/wiki/Dimension

    It is strongly related to the dimension of an algebraic variety, because of the natural correspondence between sub-varieties and prime ideals of the ring of the polynomials on the variety. For an algebra over a field , the dimension as vector space is finite if and only if its Krull dimension is 0.

  8. 4D film - Wikipedia

    en.wikipedia.org/wiki/4D_film

    4D film is a presentation system combining motion pictures with synchronized physical effects that occur in the theater. Effects simulated in 4D films include motion, vibration , scent , rain, mist, bubbles, fog, smoke, wind, temperature changes, and strobe lights.

  9. 5D optical data storage - Wikipedia

    en.wikipedia.org/wiki/5D_optical_data_storage

    The "5-dimensional" descriptor is because, unlike marking only on the surface of a 2D piece of paper or magnetic tape, this method of encoding uses two optical dimensions and three spatial co-ordinates to write throughout the material, which suggested the name '5D data crystal'. No exotic higher dimensional properties are involved. The size ...