Form the differential equation of the family of parabolas having vertex at origin and axis along ... of a line which makes equal angles with the coordinate axes? Q3. If a line makes angles 90 ...

An algebraic variety is defined as the zero locus (the set of points where an equation takes on the value ... and the same number of them meet at each vertex. (Think cubes and dodecahedra.) ...

Proofs of the following theorems are deleted: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular ...

In this project, each vertex coordinate (x, y, z) is trained together, using a ''branch'' model. Each 2D (XZ and YZ) pixel map image is used to learn the (x,y,z) vertex from an interaction. So we have ...

Delete all edges with one end point in, say, CC 2, and the other end point being a vertex on the path p. The key idea behind the proof of the following result is the observation that no dual fullerene ...

In this cases the vector will be defined in the same coordinate system as the first operand. 3D plane defined by arbutrary point on the plane and a normal vector. Optionally can be defined by ...

Cellular unjamming is the collective fluidization of cell motion and has been linked to many biological processes, including development, wound repair, and tumor growth. In tumor growth, the ...

A WGCN layer is defined by Equation 9. The batch size was set to 64 ... The feature enhancement mechanism and gating units are introduced into deep GNNBlocks to coordinate substructural features ...