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  2. Symmetric group - Wikipedia

    en.wikipedia.org/wiki/Symmetric_group

    A Cayley graph of the symmetric group S 4 using the generators (red) a right circular shift of all four set elements, and (blue) a left circular shift of the first three set elements. Cayley table, with header omitted, of the symmetric group S 3. The elements are represented as matrices. To the left of the matrices, are their two-line form.

  3. List of character tables for chemically important 3D point groups

    en.wikipedia.org/wiki/List_of_character_tables...

    The S 2 group is the same as the C i group in the nonaxial groups section. S n groups with an odd value of n are identical to C nh groups of same n and are therefore not considered here (in particular, S 1 is identical to C s). The S 8 table reflects the 2007 discovery of errors in older references. [4] Specifically, (R x, R y) transform not as ...

  4. ISO/IEC 9995 - Wikipedia

    en.wikipedia.org/wiki/ISO/IEC_9995

    Thus, e. g. the Yen symbol “¥” occupies the shifted position on the 6th letter key of the second row, whether this is the Y key on a QWERTY keyboard (like the US layout) or the Z key on a QWERTZ keyboard (like the German layout). ISO/IEC 9995-3:2010 applied to the US keyboard layout

  5. Dihedral group of order 6 - Wikipedia

    en.wikipedia.org/wiki/Dihedral_group_of_order_6

    Only the neutral elements are symmetric to the main diagonal, so this group is not abelian. Cayley table as general (and special) linear group GL(2, 2) In mathematics, D 3 (sometimes alternatively denoted by D 6) is the dihedral group of degree 3 and order 6. It equals the symmetric group S 3. It is also the smallest non-abelian group. [1]

  6. Point groups in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_three...

    When comparing the symmetry type of two objects, the origin is chosen for each separately, i.e., they need not have the same center. Moreover, two objects are considered to be of the same symmetry type if their symmetry groups are conjugate subgroups of O(3) (two subgroups H 1, H 2 of a group G are conjugate, if there exists g ∈ G such that H 1 = g −1 H 2 g).

  7. Key derivation function - Wikipedia

    en.wikipedia.org/wiki/Key_derivation_function

    Example of a Key Derivation Function chain as used in the Signal Protocol.The output of one KDF function is the input to the next KDF function in the chain. In cryptography, a key derivation function (KDF) is a cryptographic algorithm that derives one or more secret keys from a secret value such as a master key, a password, or a passphrase using a pseudorandom function (which typically uses a ...

  8. Table of keyboard shortcuts - Wikipedia

    en.wikipedia.org/wiki/Table_of_keyboard_shortcuts

    For the first two shortcuts going backwards is done by using the right ⇧ Shift key instead of the left. ⌘ Cmd+Space (not MBR) Configure desired keypress in Keyboard and Mouse Preferences, Keyboard Shortcuts, Select the next source in Input menu. [1] Ctrl+Alt+K via KDE Keyboard. Alt+⇧ Shift in GNOME. Ctrl+\ Ctrl+Space: Print Ctrl+P: ⌘ ...

  9. Affine symmetric group - Wikipedia

    en.wikipedia.org/wiki/Affine_symmetric_group

    The group (,,) is the generalized symmetric group: algebraically, it is the wreath product (/) of the cyclic group / with the symmetric group . Concretely, the elements of the group may be represented by monomial matrices (matrices having one nonzero entry in every row and column) whose nonzero entries are all m th roots of unity.