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The software is designed as a laboratory [5] in constant evolution and includes both consolidated algorithms as the 3D morphing and experimental technologies, as the fuzzy mathematics used to handle the relations between human parameters, the non-linear interpolation [6] used to define the age, mass and tone, the auto-modelling engine based on body proportions and the expert system used to ...
Often this is an isosceles triangle of height 1 and base 2 in which case it is referred to as the triangular function. Triangular functions are useful in signal processing and communication systems engineering as representations of idealized signals, and the triangular function specifically as an integral transform kernel function from which ...
One way to draw using an oblique view is to draw the side of the object in two dimensions, i.e. flat, and then draw the other sides at an angle of 45°, but instead of drawing the sides full size they are only drawn with half the depth creating 'forced depth' – adding an element of realism to the object.
Angle trisection is the construction, using only a straightedge and a compass, of an angle that is one-third of a given arbitrary angle. This is impossible in the general case. For example, the angle 2 π /5 radians (72° = 360°/5) can be trisected, but the angle of π /3 radians (60°) cannot be trisected. [8]
Picture Name Schläfli symbol Vertex/Face configuration exact dihedral angle (radians) dihedral angle – exact in bold, else approximate (degrees) Platonic solids (regular convex)
Now let x = cos 20°. Note that cos 60° = cos π / 3 = 1 / 2 . Then by the triple-angle formula, cos π / 3 = 4x 3 − 3x and so 4x 3 − 3x = 1 / 2 . Thus 8x 3 − 6x − 1 = 0. Define p(t) to be the polynomial p(t) = 8t 3 − 6t − 1. Since x = cos 20° is a root of p(t), the minimal polynomial for cos 20° is ...
The unit vectors appropriate to spherical symmetry are: ^, the direction in which the radial distance from the origin increases; ^, the direction in which the angle in the x-y plane counterclockwise from the positive x-axis is increasing; and ^, the direction in which the angle from the positive z axis is increasing.
The Blender Foundation initially reserved the right to use dual licensing so that, in addition to GPL 2.0-or-later, Blender would have been available also under the "Blender License", which did not require disclosing source code but required payments to the Blender Foundation.