The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, ...

Converting images into vector graphics or creating vector graphics is particularly useful if you need graphics for logos, illustrations, or print templates. While conventional image formats such ...

A vector can be represented by a line segment labelled with an arrow. A vector between two points A and B is described as: \(\overrightarrow{AB}\), \(\mathbf{a}\) or \(\underline{a}\). The vector ...

The second unit delves into the algebra of operators and their types and also explains the equivalence between the algebra of vector operators and the algebra of matrices. Formulation of eigen vectors ...

A vector can be represented by a line segment labelled with an arrow. A vector between two points A and B is described as: \(\overrightarrow{AB}\), \(\mathbf{a}\) or \(\underline{a}\). The vector ...

The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action ...

TCRclub integrates scRNA-seq and scTCR-seq data by local harmony to identify functionally similar T cell groups, termed ...

Vector Calculus: gradient, divergence and curl, Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem. Metric spaces, connectedness, compactness, ...