Expand expressions and simplify inputs of functions by using identities (2024)

FAQs

What is expand in Matlab? ›

expand( sigObj ) converts the representation of the signal that corresponds to the Simulink. sdi. Signal object sigObj from a single signal with nonscalar sample values to a set of signals with scalar sample values: one signal, called a channel, for each element in the multidimensional sample values.

Symbolic expansion. expand(S) writes each element of a symbolic expression S as a product of its factors. expand is most often used only with polynomials, but also expands trigonometric, exponential, and logarithmic functions.

S = simplify( expr ) performs algebraic simplification of expr . If expr is a symbolic vector or matrix, this function simplifies each element of expr . S = simplify( expr , Name,Value ) performs algebraic simplification of expr using additional options specified by one or more Name,Value pair arguments.

To expand or collapse all of the code in a file, place your cursor anywhere within the file, go to the View tab, and select the Expand All or Collapse All buttons. Alternatively, you can use the Ctrl+Shift+, (comma) and Ctrl+, (comma) keyboard shortcuts.

The EXPAND function in Excel is used to expand an array or range by adding additional rows and columns. This function is particularly useful when you need to increase the size of a dataset, either by extending its dimensions or by padding it with specific values.

Expanding brackets, or multiplying out, involves multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets. Expanding brackets is often an important step in solving equations and is the opposite process to factorisation.

The expansion symbol is a small icon found on the right side of the middle line or type line on a Magic: The Gathering card and is a characteristic of that card. If a card is copied, the copy will keep its original expansion symbol. Evolution of the Core Set Expansion symbol.

Refers to the intellectual process of finding a mathematical expression (often, an equation) or a symbolic expression that describes or summarizes a system or a collection of data.

A 'Simplification Rule' in computer science refers to a transformation that reduces the problem size without changing the solution, thus helping to narrow down the search space for a solution.

For example, 1/2 (x + 4) can be simplified as x/2 + 2. Let us take one more example to understand it. Example: Simplify the expression: 3/4x + y/2 (4x + 7). By using the distributive property, the given expression can be written as 3/4x + y/2 (4x) + y/2 (7).

How can we simplify work? ›

Although extend and expand can be used interchangeably in some contexts, extend applies to things that are being stretched out, while expand applies to things that are spread out. One implies length; the other area. If you extend your arm, for example, you stretch it out, making it longer.

Definition of Expansion in Math Expansion refers to the process of simplifying an expression or equation by multiplying out brackets, combining like terms, and eliminating common factors. It is an algebraic technique that makes it easier to work with complex equations and expressions.

Expanding a Matrix

MATLAB automatically pads the matrix with zeros to keep it rectangular. For example, create a 2-by-3 matrix and add an additional row and column to it by inserting an element in the (3,4) position. You can also expand the size by inserting a new matrix outside of the existing index ranges.

The simplify command finds the simplest form of an equation. Simplify[expr,assum] does simplification using assumptions. Expand[expr,patt] leaves unexpanded any parts of expr that are free of the pattern patt. ExpandAll[expr] expands out all products and integer powers in ant part of exps.