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Fundamental parallelogram information


Fundamental parallelogram may mean:

  • Fundamental pair of periods on the complex plane
  • Primitive cell on the Euclidean plane

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Fundamental parallelogram

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Fundamental parallelogram may mean: Fundamental pair of periods on the complex plane Primitive cell on the Euclidean plane This disambiguation page lists...

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Fundamental pair of periods

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the fundamental parallelogram. Since this mapping identifies opposite sides of the parallelogram as being the same, the fundamental parallelogram has...

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Parallelogram

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a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are...

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Fundamental

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matrix (disambiguation) Fundamental parallelogram (disambiguation) Fundamental physical constant (disambiguation) Fundamental plane (disambiguation) All...

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Fundamental polygon

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for some lattice Λ in C. The fundamental polygon of Λ, if assumed convex, may be taken to be either a period parallelogram or a centrally symmetric hexagon...

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Knot theory

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many light rays from the observer to the link component. The fundamental parallelogram (which is indicated in the picture), tiles both vertically and...

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SnapPea

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cusp view of the Borromean rings complement. A fundamental parallelogram is drawn....

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Translational symmetry

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fully defines the whole object. Without further symmetry, this parallelogram is a fundamental domain. The vectors a and b can be represented by complex numbers...

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Pythagorean theorem

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area of the parallelogram on the longest side is the sum of the areas of the parallelograms on the other two sides, provided the parallelogram on the long...

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Force

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determined by following the parallelogram rule of vector addition: the addition of two vectors represented by sides of a parallelogram, gives an equivalent resultant...

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Square

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rhombus with a right vertex angle A rhombus with all angles equal A parallelogram with one right vertex angle and two adjacent equal sides A quadrilateral...

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Areal velocity

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D be the fourth corner of parallelogram ABDC shown in the figure, so that the vectors AB and AC add up by the parallelogram rule to vector AD. Then the...

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Doubly periodic function

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have a single simple pole inside each parallelogram – it must have at least two simple poles within each parallelogram (Jacobian case), or it must have at...

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Exterior algebra

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magnitude of a 2-blade v ∧ w {\displaystyle v\wedge w} is the area of the parallelogram defined by v {\displaystyle v} and w , {\displaystyle w,} and, more...

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Net force

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complete the parallelogram ABCD. The diagonal AC of this parallelogram is the sum of the two force vectors. This is known as the parallelogram rule for the...

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Hilbert space

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Hilbert space theory. Exact analogs of the Pythagorean theorem and parallelogram law hold in a Hilbert space. At a deeper level, perpendicular projection...

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Torsion tensor

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infinitesimal parallelogram whose sides are X , Y {\displaystyle X,Y} . It is skew symmetric in its inputs, because developing over the parallelogram in the...

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Elliptic function

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Geometrically the complex plane is tiled with parallelograms. Everything that happens in one fundamental domain repeats in all the others. For that reason...

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Jacobian matrix and determinant

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to a distorted parallelogram (right, in red). The Jacobian at a point gives the best linear approximation of the distorted parallelogram near that point...

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Determinant

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of the basis vectors form a parallelogram that represents the image of the unit square under the mapping. The parallelogram defined by the rows of the...

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Rotational symmetry

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which are geometrically different, see cyclic symmetry groups in 3D. The fundamental domain is a sector of 360 ∘ n . {\displaystyle {\tfrac {360^{\circ }}{n}}...

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Pantograph

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copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical...

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Bravais lattice

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depicted using parallelograms (which may be squares or rectangles) outlined in black. Although each of the four corners of each parallelogram connects to...

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Commutative property

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changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend...

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Complex number

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as points in the complex plane, is the point obtained by building a parallelogram from the three vertices O, and the points of the arrows labeled a and...

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