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Showing 1 to 7 of 7 for “"Cubics"”.
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Hyperbolic transformations on cubics in H²
The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work …
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Hyperbolic transformations on cubics in H²
The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work …
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Models of genus one curves
… one curves given as double covers of P1, plane cubics, or complete intersections of two quadrics in P3. By minimising such a curve we mean making the invariants associated to its defining equations as small as possible using a suitable change of coordinates. We study the non-uniqueness of …
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Flexural-Torsional Coupled Vibration of Rotating Beams Using Orthogonal Polynomials
… functions used in conjunction with Hermite cubics. Studied cases are non-rotating and rotating Timoshenko beams, bending-torsion coupled beam with free-free boundary conditions, a cantilever beam, and a rotating cantilever beam. The obtained natural frequencies and mode shapes are compared …
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DEGENERATIONS OF AUTOMORPHISMS ON IRREDUCIBLE HOLOMORPHIC SYMPLECTIC VARIETIES
… finding a similar result for non-generic nodal cubics. In particular, by going to increasingly higher codimension, a birational map is found between the subspaces of the nodal locus whose generic element is a cubic with a single singularity $A_i$ for $i=2,3,4$, and a moduli space of IHS …
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On the behavior of viscoelastic plates in bending
… used in determining the roots of certain cubics appearing in the transformed form of the governing dynamics equation. Conditions for the dynamic solutions to be oscillatory are indicated.