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  2. Griffith's experiment - Wikipedia

    en.wikipedia.org/wiki/Griffith's_experiment

    Griffith's experiment, [1] performed by Frederick Griffith and reported in 1928, [2] was the first experiment suggesting that bacteria are capable of transferring genetic information through a process known as transformation. [3] [4] Griffith's findings were followed by research in the late 1930s and early 40s that isolated DNA as the material ...

  3. Frederick Griffith - Wikipedia

    en.wikipedia.org/wiki/Frederick_Griffith

    Frederick Griffith (1877–1941) was a British bacteriologist whose focus was the epidemiology and pathology of bacterial pneumonia.In January 1928 he reported what is now known as Griffith's experiment, the first widely accepted demonstrations of bacterial transformation, whereby a bacterium distinctly changes its form and function.

  4. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...

  5. Transformation matrix - Wikipedia

    en.wikipedia.org/wiki/Transformation_matrix

    In linear algebra, linear transformations can be represented by matrices.If is a linear transformation mapping to and is a column vector with entries, then there exists an matrix , called the transformation matrix of , [1] such that: = Note that has rows and columns, whereas the transformation is from to .

  6. Kabsch algorithm - Wikipedia

    en.wikipedia.org/wiki/Kabsch_algorithm

    Let P and Q be two sets, each containing N points in .We want to find the transformation from Q to P.For simplicity, we will consider the three-dimensional case (=).The sets P and Q can each be represented by N × 3 matrices with the first row containing the coordinates of the first point, the second row containing the coordinates of the second point, and so on, as shown in this matrix:

  7. File:Griffith experiment.svg - Wikipedia

    en.wikipedia.org/wiki/File:Griffith_experiment.svg

    Griffith's experiment discovering a "transforming principle" in heat-killed virulent smooth pneumococcus that enables the transformation of rough non-virulent rough pneumococcus. File usage The following 6 pages use this file:

  8. Vectorization (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Vectorization_(mathematics)

    The vectorization is frequently used together with the Kronecker product to express matrix multiplication as a linear transformation on matrices. In particular, vec ⁡ ( A B C ) = ( C T ⊗ A ) vec ⁡ ( B ) {\displaystyle \operatorname {vec} (ABC)=(C^{\mathrm {T} }\otimes A)\operatorname {vec} (B)} for matrices A , B , and C of dimensions k ...

  9. Matrix exponential - Wikipedia

    en.wikipedia.org/wiki/Matrix_exponential

    For matrix-matrix exponentials, there is a distinction between the left exponential Y X and the right exponential X Y, because the multiplication operator for matrix-to-matrix is not commutative. Moreover, If X is normal and non-singular, then X Y and Y X have the same set of eigenvalues. If X is normal and non-singular, Y is normal, and XY ...