Sentences with HYPERSURFACE
Check out our example sentences below to help you understand the context.Sentences
1
"The equation defines a hypersurface in four-dimensional Euclidean space."
2
"The hyperplane is a special type of hypersurface with one less dimension than the ambient space."
3
"The concept of a hypersurface is widely used in differential geometry."
4
"A closed hypersurface encloses a bounded region in space."
5
"The shape of a soap bubble can be modeled as a hypersurface."
6
"The hypersurface divides the space into two disjoint regions."
7
"The curvature of a hypersurface can vary at different points."
8
"A smooth hypersurface has no sharp edges or corners."
9
"The embedding theorem guarantees the existence of hypersurfaces of any given shape."
10
"The equation of the hypersurface can be represented as a polynomial."
11
"The study of minimal hypersurfaces is an active area of research in mathematics."
12
"The volume of a bounded hypersurface can be calculated using integral calculus."
13
"The hypersurface separates the two distinct phases of the material."
14
"Intersecting hypersurfaces can create complex geometrical structures."
15
"The level set of a function defines a hypersurface in the domain."
16
"The hypersurface provides a natural boundary for the physical system."
17
"The evolution of a hypersurface can be described by a partial differential equation."
18
"The tangent space of a point on a hypersurface is orthogonal to the surface itself."
19
"The hypersurface is smooth and continuous in the given range of parameters."
1
"The hypersurface of the Earth is mainly covered by water."
2
"In mathematics, a hypersurface is a manifold of one dimension less than the ambient space."
3
"The concept of hypersurface is fundamental in the study of algebraic geometry."
4
"The curvature of a hypersurface can be used to determine its properties."
5
"The equation defines a hypersurface in n-dimensional space."
6
"The intersection of two hypersurfaces creates a lower-dimensional object."
7
"The hypersurface divides the space into two regions."
8
"A point on the hypersurface corresponds to a specific value of the function."
9
"The hypersurface can be represented graphically in three dimensions."
10
"The classification of hypersurfaces is an active area of research."
