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  2. Concentric zone model - Wikipedia

    en.wikipedia.org/wiki/Concentric_zone_model

    The model is more detailed than the traditional down-mid-uptown divide by which downtown is the CBD, uptown the affluent residential outer ring, and midtown in between. Bid rent curve. Burgess's work helped generate the bid rent curve. This theory states that the concentric circles are based on the amount that people will pay for the land.

  3. Bid rent theory - Wikipedia

    en.wikipedia.org/wiki/Bid_rent_theory

    The result is a pattern of concentric rings of land use, creating the concentric zone model. It could be assumed that, according to this theory, the poorest houses and buildings would be on the very outskirts of the city, as this is the only location that they can afford to occupy.

  4. Archimedean spiral - Wikipedia

    en.wikipedia.org/wiki/Archimedean_spiral

    First, a large circle is constructed and its circumference is subdivided by 12 diameters into 12 arcs (of 30 degrees each; see regular dodecagon). Next, the radius of this circle is itself subdivided into 12 unit segments (radial units), and a series of concentric circles is constructed, each with radius incremented by one radial unit.

  5. Parallel curve - Wikipedia

    en.wikipedia.org/wiki/Parallel_curve

    In this case, one gets a parallel curve on the opposite side of the curve (see diagram on the parallel curves of a circle). One can easily check that a parallel curve of a line is a parallel line in the common sense, and the parallel curve of a circle is a concentric circle.

  6. Annulus (mathematics) - Wikipedia

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

    In mathematics, an annulus (pl.: annuli or annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a hardware washer. The word "annulus" is borrowed from the Latin word anulus or annulus meaning 'little ring'. The adjectival form is annular (as in annular eclipse).

  7. Circle packing - Wikipedia

    en.wikipedia.org/wiki/Circle_packing

    The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap.

  8. Gradient descent - Wikipedia

    en.wikipedia.org/wiki/Gradient_descent

    The gradient descent can take many iterations to compute a local minimum with a required accuracy, if the curvature in different directions is very different for the given function. For such functions, preconditioning, which changes the geometry of the space to shape the function level sets like concentric circles, cures the slow convergence ...

  9. Concentric objects - Wikipedia

    en.wikipedia.org/wiki/Concentric_objects

    The region of the plane between two concentric circles is an annulus, and analogously the region of space between two concentric spheres is a spherical shell. [6] For a given point c in the plane, the set of all circles having c as their center forms a pencil of circles. Each two circles in the pencil are concentric, and have different radii.