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  2. Genetic transformation - Wikipedia

    en.wikipedia.org/wiki/Genetic_transformation

    This process of the second bacterial cell taking up new genetic material is called transformation. In molecular biology and genetics, transformation is the genetic alteration of a cell resulting from the direct uptake and incorporation of exogenous genetic material from its surroundings through the cell membrane(s).

  3. Transformation matrix - Wikipedia

    en.wikipedia.org/wiki/Transformation_matrix

    If is a linear transformation mapping to and is a column vector with entries, then = for some matrix , called the transformation matrix of . [ citation needed ] Note that A {\displaystyle A} has m {\displaystyle m} rows and n {\displaystyle n} columns, whereas the transformation T {\displaystyle T} is from R n {\displaystyle \mathbb {R} ^{n ...

  4. Matrix (biology) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(biology)

    In biology, matrix (pl.: matrices) is the material (or tissue) in between a eukaryotic organism's cells. The structure of connective tissues is an extracellular matrix. Fingernails and toenails grow from matrices. It is found in various connective tissues. It serves as a jelly-like structure instead of cytoplasm in connective tissue.

  5. Gene mapping - Wikipedia

    en.wikipedia.org/wiki/Gene_mapping

    There are two distinctive mapping approaches used in the field of genome mapping: genetic maps (also known as linkage maps) [7] and physical maps. [3] While both maps are a collection of genetic markers and gene loci, [8] genetic maps' distances are based on the genetic linkage information, while physical maps use actual physical distances usually measured in number of base pairs.

  6. Models of DNA evolution - Wikipedia

    en.wikipedia.org/wiki/Models_of_DNA_evolution

    The mathematical details of this transformation from rate-matrix to probability matrix are described in the mathematics of substitution models section of the substitution model page. By expressing models in terms of the instantaneous rates of change we can avoid estimating a large numbers of parameters for each branch on a phylogenetic tree (or ...

  7. Transformation - Wikipedia

    en.wikipedia.org/wiki/Transformation

    Transformation matrix which represent linear maps in linear algebra. Integral transform, between a function in one domain to a function in another; Natural transformation between functors in category theory. Unitary transformation, between two Hilbert spaces; Geometric transformation, between sets of points in geometry

  8. Eigenvalues and eigenvectors - Wikipedia

    en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors

    The matrix Q is the change of basis matrix of the similarity transformation. Essentially, the matrices A and Λ represent the same linear transformation expressed in two different bases. The eigenvectors are used as the basis when representing the linear transformation as Λ.

  9. Substitution matrix - Wikipedia

    en.wikipedia.org/wiki/Substitution_matrix

    To this end, we will construct a 20x20 matrix where the (,) th entry is equal to the probability of the th amino acid being transformed into the th amino acid in a certain amount of evolutionary time. There are many different ways to construct such a matrix, called a substitution matrix. Here are the most commonly used ones: