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Reference Guides
Explore the Extended Definitions, OML Guides, Block Library, API Guide and Glossary.
Scripting Guide for OpenMatrix Language
OpenMatrix is a mathematical scripting language.
Operator Descriptions (tables)
Each operator in this section is explained with the operations of scalars, vectors, and matrices that are allowed for said operator.
Complex Transpose
Complex Transpose is different from transpose in that any complex numbers are also conjugated.

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- 上級ユーザーのための拡張定義
  ユーザーズガイドの主要なトピックに関する詳細情報。
- Scripting Guide for OpenMatrix Language
  OpenMatrix is a mathematical scripting language.
  - Literals
    Literals are items that are constant throughout the life of the application. Literals include numeric, imaginary, characters, strings, logicals, and Other (NaN/Inf).
  - Data Types
    Data types are items that are constant throughout the life of the application and are built into the OpenMatrix language.
  - Strings
    Strings are arrays of characters.
  - Variables and Assignments
    OML language scripts manipulate data through variables. Variables are referred to by their name (alphanumeric) and can be created (assigned) and deleted as described in this section.
  - Indexing
    Indexing is used to retrieve one or more specific values out of a collection.
  - Operators
    Operators are used to combine operands.
  - Operator Descriptions (tables)
    Each operator in this section is explained with the operations of scalars, vectors, and matrices that are allowed for said operator.
    - Addition
      The table below describes the Addition operator.
    - Colon
      The colon operator has a number before and after it.
    - Complex Transpose
      Complex Transpose is different from transpose in that any complex numbers are also conjugated.
    - Inequality Operators
      All inequality operators return logical values (either 0/false or 1/true).
    - Left Division
      This type of division is different from Left Matrix Division in that the division is performed on each pair of corresponding elements.
    - Left Matrix Division
      Left Matrix Division (A\B) is defined as solving the equation Ax = B.
    - Logical Operators (tables)
      All inequality operators return logical values (either 0/false or 1/true).
    - Matrix Multiplication
      Matrix Multiplication is defined as the multiplication of two matrices.
    - Matrix Power
      Power means multiplying something by itself a specific number of times. Likewise for matrix power.
    - Multiplication
      This type of multiplication is different from Matrix Multiplication in that the multiplication is performed on each pair of corresponding elements.
    - Power
      This type of power is different from Matrix Power in that the power (multiplication of something by itself) is done through each corresponding element.
    - Right Division
      This type of division is different from Right Matrix Division in that the division is performed on each pair of corresponding elements.
    - Right Matrix Division
      Right Matrix Division (B/A) is defined as solving the equation xA = B.
    - Short Circuit
      Short Circuit includes && (short circuit and) and || (short circuit or). They are both logical operators.
    - Subtraction
      The table below describes the Subtraction operator.
    - Transpose
      The transpose of a matrix is also a matrix. The rows of the transpose are the columns of the original matrix and vice-versa.
  - Expressions and Statements
    Statements are made of expressions, which may be simple or complex.
  - Flow of Control and Looping
    Loops are used to perform the same set of statements multiple times.
  - Workspace and Scoping Rules
    There are two types of workspaces: Local and Global.
  - Functions
    Functions are packets of statements that can be used repeatedly.
  - Scripts and Functions
    OpenMatrix statements persist in .oml files.
  - Files
    This section describes files that can be manipulated by the OpenMatrix Language.
  - Error and Warning Messages
    Errors and warning messages are both output in the console (or the コマンドウィンドウ in GUI mode) of Twin Activate.
  - Plotting and Visualization
    Create 2D and 3D plots and control their style and appearance.
  - Objects in OpenMatrix Language
    Objects in OML are defined using the classdef keyword. This creates a blueprint for an object but does not actually create (instantiate) anything.
- Reference Guide for OpenMatrix Language Functions
  The Reference Guide contains documentation for all functions supported in the OpenMatrix language.
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Complex Transpose

Complex Transpose is different from transpose in that any complex numbers are also conjugated.

When complex numbers are not used, it works the same as a normal transpose.

表 1.
'Complex	Scalar	Row Vector	Column Vector	Matrix
	The conjugate of the scalar is returned.	Transposes to a column vector. If any scalars within the vector are complex, the conjugate is returned rather than the original scalar.	Transposes to a row vector. If any scalars within the vector are complex, the conjugate is returned rather than the original scalar.	Transposes to a matrix. If any scalars within the vector are complex, the conjugate is returned rather than the original scalar.

Examples

4i'
ans = -4i

[4i-5 6j]'
ans = [-5-4i; -6i]

[4 6]'
ans = [4;6]

[7i 3; 5j 8i]'
ans =[-7i -5i; 3 -8i]

Comments

Sparse matrices are supported for this operation.