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Definition. An open book decomposition of a 3-dimensional manifold M is a pair ( B, π) where. π: M \ B → S1 is a fibration of the complement of B such that for each θ ∈ S1, π −1 (θ) is the interior of a compact surface Σ ⊂ M whose boundary is B. The surface Σ is called the page of the open book. This is the special case m = 3 of ...
Eigenvalues and eigenvectors. In linear algebra, an eigenvector (/ ˈaɪɡən -/ EYE-gən-) or characteristic vector is a vector that has its direction unchanged by a given linear transformation. More precisely, an eigenvector, , of a linear transformation, , is scaled by a constant factor, , when the linear transformation is applied to it: .
Karbon – Scalable vector drawing application in KDE; Krita – Digital painting, sketching and 2D animation application, with a variety of brush engines; LazPaint – Lightweight raster and vector graphics editor, aimed at being simpler to use than GIMP; LightZone – Free, open-source digital photo editor software application.
Below, w is stretched by a factor of 2, yielding the sum v + 2w. In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied ("scaled") by numbers called scalars. The operations of vector addition and scalar multiplication must satisfy certain ...
LibreOffice Draw. LibreOffice Draw is a free and open source vector graphics editor. It is one of the applications included in the LibreOffice suite, developed by The Document Foundation. LibreOffice Draw can be used to create complicated figures using shape tools, straight and curved tools, polygon tools, among other features.
A PDF file is often a combination of vector graphics, text, and bitmap graphics. The basic types of content in a PDF are: Typeset text stored as content streams (i.e., not encoded in plain text); Vector graphics for illustrations and designs that consist of shapes and lines; Raster graphics for photographs and other types of images; and
Inkscape - Free and open-source vector graphics editor. KDEnLive -open-source video editing software based on the MLT Framework, KDE and Qt. ... It's a free and simple way to read or listen to books.
Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. [ 1 ][ 2 ][ 3 ] Linear algebra is central to almost all areas of mathematics.
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