Communication

10 relations: Academic publishing, Affine differential geometry, Determinant, Differential geometry, Hessian matrix, Hyperplane at infinity, Hypersurface, Paraboloid, Quadric, Smoothness.

Academic publishing

Academic publishing is the subfield of publishing which distributes academic research and scholarship.

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Affine differential geometry

Affine differential geometry, is a type of differential geometry in which the differential invariants are invariant under volume-preserving affine transformations.

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Determinant

In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.

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Differential geometry

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.

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Hessian matrix

In mathematics, the Hessian matrix or Hessian is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field.

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Hyperplane at infinity

In geometry, any hyperplane H of a projective space P may be taken as a hyperplane at infinity.

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Hypersurface

In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and surface.

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Paraboloid

In geometry, a paraboloid is a quadric surface that has (exactly) one axis of symmetry and no center of symmetry.

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Quadric

In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas).

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Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

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References

[1] https://en.wikipedia.org/wiki/Affine_sphere

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