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Skabelon:Vec

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Skabelondokumentation[vis] [redigér] [historik] [opfrisk]

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

Parameters

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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

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No {{math}}

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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}}

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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

Se også

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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}}

Matematikskabeloner

Funktioner
Talsystem

Functions	elementary arithmetic precision precision1 value
Numeral systems	base 36 binary dec2hex decimal2Base duodecimal hex2dec hexadecimal octal quaternary quinary rn Romertal senary ternary vigesimal

Konverteringer

bbl to t	barrels of oil to tonnes
convert
convert/scale	to convert any linearly related units
long ton	long hundredweights, quarters and pounds to kilograms; long tons and hundredweights to pounds and metric tonnes
convinfobox	for use in infoboxes

decdeg	degrees, minutes and seconds to decimal degrees
HMS2Deg	hour angle (in hours, minutes, and seconds) to decimal degrees
deg2hms	decimal degrees to hour angle (in hours, minutes, and seconds)
inflation	to calculate inflation of Consumer Price Index-related prices
miles-chains	miles and chains to kilometres linking "chains"
pop density	density of a population in an area
track gauge	railway track gauges

Notation

bigmath	for stand-alone formulas, using a bigger font to match PNG-rendered TeX formulas
bra-ket braket bra ket	bra–ket notation
frac	for creating fractions
intmath	integral symbols
langle rangle	Parenteser
ldelim rdelim	multiline delimiters (2-5 lines inclusive)
math
mathcal

mvar	a short form to refer to individual italicized maths variables in normal text
overset underset	arbitrary characters/diacritics set above/below one another
radic
sfrac
sqrt
su sub sup
tmath	wraps a TeX math expression in <math> tags
val	to report measurement values, uncertainties and units
vec	for various overarrows, underarrows, pointing left, right or both ways

Bokser
Tags
Budskaber

Boxes	Tags	Notices
calculation results calculus Infobox mathematics function functions	metricate undue precision units attention	calculation

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Matematiske skabeloner