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ಟೆಂಪ್ಲೇಟು:Vec/doc

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< ಟೆಂಪ್ಲೇಟು:Vec

This template creates vectors using arrow notation in HTML, as an alternative to boldface.

Parameters

[ಬದಲಾಯಿಸಿ]

The template has three parameters:

Vector symbol: Insert the character, i.e. A, Ω etc. Default is A; to immediately show the template is in use, and prevent the arrow moving and overlapping text to one side.
Arrow direction: Select one of left, right, or double for the arrows →, ←, or ↔ respectively. The default is right.
Arrow position: Select one of under or over to place the arrow over or under the character symbolizing the vector. The default is over.

The defaults for 2 and 3 are set to match the LaTeX analogue of \vec: ${\vec {A}}$ .

Examples

[ಬದಲಾಯಿಸಿ]

No `{{Math}}`

[ಬದಲಾಯಿಸಿ]

Illustration of all possibilities for italic A:

	Default	Overarrow	Underarrow
Default	A→	A→	A→
Left	A←	A←	A←
Right	A→	A→	A→
Double	A↔	A↔	A↔

with code:

	Default	Overarrow	Underarrow
Default	`{{vec\|''A''}}`	`{{vec\|''A''\|\|over}}`	`{{vec\|''A''\|\|under}}`
Left	`{{vec\|''A''\|left}}`	`{{vec\|''A''\|left\|over}}`	`{{vec\|''A''\|left\|under}}`
Right	`{{vec\|''A''\|right}}`	`{{vec\|''A''\|right\|over}}`	`{{vec\|''A''\|right\|under}}`
Double	`{{vec\|''A''\|double}}`	`{{vec\|''A''\|double\|over}}`	`{{vec\|''A''\|double\|under}}`

Formulae:

Vorticity of a fluid with velocity field u→:

ω→ = ∇→ × u→

Tangential velocity in rigid body dynamics:

v→ = ω→ × r→

Rotating reference frame:

dA′→⁄dt = dA→⁄dt − ω→ × A→

dA′→dt = dA→dt − ω→ × A→

Including `{{Math}}`

[ಬದಲಾಯಿಸಿ]

Illustration of all possibilities for italic A:

	Default	Overarrow	Underarrow
Default	$A \to$	$A \to$	$A \to$
Left	$A \leftarrow$	$A \leftarrow$	$A \leftarrow$
Right	$A \to$	$A \to$	$A \to$
Double	$A \leftrightarrow$	$A \leftrightarrow$	$A \leftrightarrow$

with code:

	Default	Overarrow	Underarrow
Default	`{{math\|{{vec\|''A''}}}}`	`{{math\|{{vec\|''A''\|\|over}}}}`	`{{math\|{{vec\|''A''\|\|under}}}}`
Left	`{{math\|{{vec\|''A''\|left}}}}`	`{{math\|{{vec\|''A''\|left\|over}}}}`	`{{math\|{{vec\|''A''\|left\|under}}}}`
Right	`{{math\|{{vec\|''A''\|right}}}}`	`{{math\|{{vec\|''A''\|right\|over}}}}`	`{{math\|{{vec\|''A''\|right\|under}}}}`
Double	`{{math\|{{vec\|''A''\|double}}}}`	`{{math\|{{vec\|''A''\|double\|over}}}}`	`{{math\|{{vec\|''A''\|double\|under}}}}`

Formulae:

Vorticity of a fluid with velocity field u→:

ω \to = \nabla \to \times u \to

Tangential velocity in rigid body dynamics:

v \to = ω \to \times r \to

Rotating reference frame:

d A' \to ⁄ d t = d A \to ⁄ d t - ω \to \times A \to

d A' \to / d t = d A \to / d t - ω \to \times A \to

See also

[ಬದಲಾಯಿಸಿ]

For quantum state vectors, see {{Braket}}.
For more general templates, allowing arbitrary characters and diacritics set above or below one another, see {{Overset}} and {{Underset}}.

"https://kn.wikipedia.org/w/index.php?title=ಟೆಂಪ್ಲೇಟು:Vec/doc&oldid=1066981" ಇಂದ ಪಡೆಯಲ್ಪಟ್ಟಿದೆ