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SEO Keyword summary for en.wikipedia.org/wiki/polar_form
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
Focus keyword
Short and long tail
Short Tail Keywords displaystyle complex numbers |
long Tail Keywords (2 words) complex numbers complex number mathbb c cdisplaystyle mathbb mathbb r |
long Tail Keywords (3 words) cdisplaystyle mathbb c rdisplaystyle mathbb r complex number z yes yes yes qdisplaystyle mathbb q mathbb q p real and imaginary |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/polar_form page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
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complex number wikipedia
Meta description
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Content SEO
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Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
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Image alt descriptions
Images SEO impact
wikipedia free encyclopedia displaystyle abi mathbb mathcal rez mathfrak imz textstyle operatorname zim axyi buvi abxyiuvixuyvi abicdot cdiacbdadbci cdot icdot overline zxyi zcdot zxiyxiyx zsqrt zxx frac zfrac bar zzbar xyix wuvi wzfrac wbar uvixiyx uxvyx vxuyx varphi zrcos isin zroperatorname mathrm cis zrangle cosvarphi isinvarphi leftcosvarphi righttextif neq arctan leftfrac rightarctan right znunderbrace dots ntext factorsrcos nrncos nvarphi idots nsqrtnrleftcos kpi nrightisin nrightright sqrtnr zneq anzndotsb sqrt isqrt asqrt bsqrt cos theta ncos ntheta eitheta rsqrt pxanxndotsb pianindotsb xto abx stackrel cong beginpmatrixabbaendpmatrix aibmapsto beginpmatrixcos tsin tcos tendpmatrix tisin leq exp cdots sum infty znn eapprox expivarphi expipi expxt colon xmapsto expz iexp zexp log zlog wln wiarg ileftpi times zin setminus leftmathbb geq zomega expomega abcleftabrightc fmathbb lim zto fzfz over fzoverline partial fpartial uvw suvwfrac uwuv fczz xaxbxc xtoperatorname xtaeiomega taeiphi eiomega taeiomega tphi beginalignedcosomega alpha leftomega trightoperatorname lefteiomega teiomega leftlefteialpha teialpha trightcdot left cosalpha tcdot tright trightendaligned vtv ejomega leftcos omega tjsin vtoperatorname voperatorname leftv trightv xyyx xyzxyz beginalignedmathbb rightarrow zmapsto wzendaligned beginpmatrixoperatorname woperatorname wendpmatrix jbeginpmatrixpqrpendpmatrixquad zaibjabin amnsqrt absqrt tfrac scriptstyle edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/polar_form
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Mobile optimizations
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SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
form found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
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Navigation and internal links
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Url seperator
Human readable urls
Number of links
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statistics
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httpsenwikipediaorgwindexphptitlecomplexnumberoldid1248284770polarform
page information
printable version
polar form
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wiki read
argand diagram
complex plane
imaginary unit
mathematics
number system
real numbers
equation
imaginary number
descartes ren
mathematical
polynomial equation
fundamental theorem of algebra
associative
commutative
distributive laws
reciprocal
field
real vector space
dimension two
standard basis
cartesian plane
real line
polar coordinate system
absolute value
circle of radius one
translation
similarity
complex conjugation
reflection
algebraically closed field
commutative algebra
euclidean vector space
of the form
real numbers
ordered pair
position vector
blackboard bold
electromagnetism
electrical engineering
electric current
added
subtraction
parallelogram
triangles
congruent
distributive property
commutative properties
complex conjugate
unary operation
square roots
pythagoras theorem
rationalization
argument
radius
radian
principal value
arctan
polar decomposition
hypotenuse
electronics
phasor
angle notation
trigonometric identities
machinlike formulas
1
de moivres formula
radicals
multivalued function
gauss c f
jean le rond dalembert
coefficients
rational numbers
liouvilles theorem
topology
winding number
galois theory
negative numbers
trigonometric functions
cubic equation
negative numbers
rational root test
irreducible
is unavoidable
gerolamo cardano
ars magna
scipione del ferro
root
rafael bombelli
william rowan hamilton
quaternions
hellenistic mathematics
stereometrica
ad
frustum
pyramid
algebraic solutions
quartic
polynomials
niccol fontana tartaglia
leonhard euler
elements of algebra
abraham de moivre
uniform circular motion
eulers formula
complex analysis
power series
danish
norwegian
mathematician
caspar wessel
walliss
copenhagen academy
jeanrobert argand
mourey
bellavitis
gh hardy
niels henrik abel
carl gustav jacob jacobi
augustinlouis cauchy
bernhard riemann
richard dedekind
otto hlder
felix klein
henri poincar
hermann schwarz
karl weierstrass
wilhelm wirtinger
commutative ring
polynomial ring
surjective
linear polynomial
abstract algebra
kernel
ideal
isomorphism
algebraic extension
algebraic closure
matrices
subring
ring isomorphism
determinant
transpose
rotation matrices
rotation
applied mathematics
real analysis
number theory
prime number theorem
domain coloring
poles
complex functions
threedimensional graph
convergent series
continuous functions
converge
definition of limits
metrics
metric space
triangle inequality
elementary functions
exponential function
infinite series
converge
eulers number
eulers identity
natural logarithm
inverse
complex logarithm
argument
interval
bijective
analytic function
failure of power and logarithm identities
sine
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hyperbolic functions
tangent
analytic continuation
holomorphic
if and only if
cauchyriemann equations
identity theorem
open subset
meromorphic functions
essential singularities
signal processing
control theory
fluid dynamics
quantum mechanics
cartography
vibration analysis
inversive geometry
network analysis of electrical circuits
maximum power transfer theorem
noncollinear
similarity class
affine transformation
mandelbrot set
diverge
iterated
julia sets
steiner inellipse
ellipse
foci
mardens theorem
using only compass and straightedge
a fortiori
algebraic numbers
algebraic number theory
field theory
number field
roots of unity
nonagon
gaussian integers
sums of squares
analytic number theory
riemann zeta function
prime number
improper integrals
methods of contour integration
differential equations
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difference equations
square matrix
eigenvalue
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matrix exponentials
conjugate transpose
hermitian matrices
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time domain
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zeros and poles
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unstable
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nonminimum phase
signal analysis
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frequency
amplitude
phase
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digital signal processing
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wavelet
compress
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audio
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voltage
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analytic
potential flow in two dimensions
mathematical formulations of quantum mechanics
hilbert spaces
schrdinger equation
matrix mechanics
special
general relativity
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used in an essential way
quantum field theory
spinor
tensors
characteristic
transcendence degree
prime field
cardinality of the continuum
algebraically closed
isomorphic
padic numbers
puiseux series
axiom of choice
nearness
continuity
analysis
topological fields
topology
involutive
automorphism
base
connected
locally compact
cayleydickson construction
quaternions
octonions
complete
dimension
ordered field
normed division algebras
sedenions
ordering
hurwitzs theorem
regular representation
algebra
linear representation
linear complex structure
hypercomplex
splitcomplex numbers
ostrowskis theorem
local fields
wikisource
1911 encyclopdia britannica
circular motion using complex numbers
complexbase system
complex coordinate space
complex geometry
geometry of numbers
dualcomplex numbers
eisenstein integers
geometric algebra
unit complex number
ray
bourbaki nicolas
isbn
pedoe dan
campbell george ashley
proceedings of the american institute of electrical engineers
american institute of electrical engineers
s2cid
mcgrawhill
oclc
addisonwesley
princeton university press
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oup oxford
aequationes mathematicae
american mathematical monthly
issn
journal of online mathematics and its applications
mccrimmon kevin
ahlfors lars
apostol tom
derbyshire john
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penrose roger
encyclopedia of mathematics
ems press
classification
definable numbers
natural numbers
integers
constructible numbers
closedform numbers
periods
computable numbers
settheoretically definable numbers
gaussian rationals
composition algebras
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splitquaternions
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dual numbers
dual quaternions
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multicomplex numbers
clifford algebra
algebra of physical space
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planebased geometric algebra
infinities
infinitesimals
cardinal numbers
extended natural numbers
extended real numbers
projective
extended complex numbers
hyperreal numbers
levicivita field
ordinal numbers
supernatural numbers
surreal numbers
superreal numbers
irrational numbers
fuzzy numbers
transcendental numbers
padic solenoids
profinite integers
normal numbers
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Headings | 37% | Headers should reflect the contents of a site. This site has a 16 % match | |
Links | 4% | Link anchors should to some degree reflect the contents of a site. This site has a 2 % match | |
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Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 700 inline style declarations ( <a style="color:green">) with a size of 23330 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
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Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 40% | We dit not font a normalized heading structure. A heading 2 (h2) for example should be followed by a heading of an equal level (h2), a child heading (h3) or even a aprent heading (h1). |
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en.wikipedia.org images and descriptions
196 images found at en.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://wikimedia.org/api/rest_v1/media/math/render/svg/44170c8ad144e96fda11d9c39fb5d706b39b2b23 height: height attribute not set width: width attribute not set description: {\displaystyle z\cdot {\overline {z}}=(x+iy)(x-iy)=x^{2}+y^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/77bd44a6d60e8a02c0646ab894fd7b9743eab576 height: height attribute not set width: width attribute not set description: {\displaystyle |z|={\sqrt {x^{2}+y^{2}}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/28fd4d7dcabf618d707c21bd08306c7b3aa8b68e height: height attribute not set width: width attribute not set description: {\displaystyle |z|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b3749e5cd50ee274eb73aea2ade8441687140a66 height: height attribute not set width: width attribute not set description: {\displaystyle |z|=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1d28262d6a55ec5c2d7bc25e8bf59c15a36417f7 height: height attribute not set width: width attribute not set description: {\displaystyle z=x=x+0i} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e1e312c629a7e0345d2fa692c14b90e246f4548e height: height attribute not set width: width attribute not set description: {\displaystyle |z|=|x|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/639f77c05613faa61f43ee28a4d5ca7c35fffa38 height: height attribute not set width: width attribute not set description: {\displaystyle z=x+yi} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f8259d41cc02921a69f715e57345d301979e85f height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{z}}={\frac {\bar {z}}{z{\bar {z}}}}={\frac {\bar {z}}{|z|^{2}}}={\frac {x-yi}{x^{2}+y^{2}}}={\frac {x}{x^{2}+y^{2}}}-{\frac {y}{x^{2}+y^{2}}}i.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6dbb3bc012ec43f3f2e0781f99b45e292f9c98be height: height attribute not set width: width attribute not set description: {\displaystyle w=u+vi} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d152defafb391f742352a9f996c96533bca8c27a height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {w}{z}}={\frac {w{\bar {z}}}{|z|^{2}}}={\frac {(u+vi)(x-iy)}{x^{2}+y^{2}}}={\frac {ux+vy}{x^{2}+y^{2}}}+{\frac {vx-uy}{x^{2}+y^{2}}}i.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/73efd1f6493490b058097060a572606d2c550a06 height: height attribute not set width: width attribute not set description: {\displaystyle 2\pi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7fbb1843079a9df3d3bbcce3249bb2599790de9c height: height attribute not set width: width attribute not set description: {\displaystyle (-\pi ,\pi ]} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/9/91/complex_multi.svg/220px-complex_multi.svg.png height: 189 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bd846958260995e3ecc934b403748988a49e9511 height: height attribute not set width: width attribute not set description: {\displaystyle r=|z|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e height: height attribute not set width: width attribute not set description: {\displaystyle \varphi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9fe097f200e7ea38fe974bf69e6af9a50711f431 height: height attribute not set width: width attribute not set description: {\displaystyle z=r(\cos \varphi +i\sin \varphi )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ac47d378cacc9cdc321ea3aaa6e174f90afc237b height: height attribute not set width: width attribute not set description: {\textstyle z=r\operatorname {\mathrm {cis} } \varphi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1b49277ca2aa60836f3415a9a26cfab749b0b07c height: height attribute not set width: width attribute not set description: {\displaystyle z=r\angle \varphi .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a6502c352808cfc910a170a23813f02822e9b758 height: height attribute not set width: width attribute not set description: {\displaystyle z_{1}z_{2}=r_{1}r_{2}(\cos(\varphi _{1}+\varphi _{2})+i\sin(\varphi _{1}+\varphi _{2})).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/40b0cccea4ebf09b067273a74240582a313ac66c height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {z_{1}}{z_{2}}}={\frac {r_{1}}{r_{2}}}\left(\cos(\varphi _{1}-\varphi _{2})+i\sin(\varphi _{1}-\varphi _{2})\right),{\text{if }}z_{2}\neq 0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/38aeed692cd66f9df75aebfa019e3d57aeeb56b7 height: height attribute not set width: width attribute not set description: {\displaystyle (2+i)(3+i)=5+5i.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/47cb184ba7ee6d5c7f21a3cf8e8c893cb2e997bd height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\pi }{4}}=\arctan \left({\frac {1}{2}}\right)+\arctan \left({\frac {1}{3}}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eafeb1be171acd8a945e5c9d9046abe4f35ad5b4 height: height attribute not set width: width attribute not set description: {\displaystyle z^{n}=\underbrace {z\cdot \dots \cdot z} _{n{\text{ factors}}}=(r(\cos \varphi +i\sin \varphi ))^{n}=r^{n}\,(\cos n\varphi +i\sin n\varphi ).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/75483975591d7804e753c30d1c9e3a59295dd599 height: height attribute not set width: width attribute not set description: {\displaystyle i,i^{2}=-1,i^{3}=-i,i^{4}=1,i^{5}=i,\dots } |
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https://upload.wikimedia.org/wikipedia/commons/thumb/a/aa/visualisation_complex_number_roots.svg/300px-visualisation_complex_number_roots.svg.png height: 400 width: 300 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1cc1b3406644f788c1ac1799d6328118ee66516f height: height attribute not set width: width attribute not set description: {\displaystyle z^{1/n}={\sqrt[{n}]{r}}\left(\cos \left({\frac {\varphi +2k\pi }{n}}\right)+i\sin \left({\frac {\varphi +2k\pi }{n}}\right)\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/10eb7386bd8efe4c5b5beafe05848fbd923e1413 height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt[{n}]{r}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3b8b7eb2d2a30057811a7835502717d3d6ece962 height: height attribute not set width: width attribute not set description: {\displaystyle z\neq 0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b460707ba2916805ea7ce8a4212d1db2749e27ae height: height attribute not set width: width attribute not set description: {\displaystyle z_{1}=1,z_{2}=i,z_{3}=-1,z_{4}=-i.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cd18e443bc73d8469f68a8a4d62e4abd5a5c162f height: height attribute not set width: width attribute not set description: {\displaystyle a_{n}z^{n}+\dotsb +a_{1}z+a_{0}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {q} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e362fba3f817d73fb17a47ab312f478bde84773c height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt {81-144}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/accaf396b68458754b5cbe532bf7a3160f3acb78 height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt {-63}}=3i{\sqrt {7}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5fc15d48ccea867a37beef8358473f0c240dddf1 height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt {144-81}}=3{\sqrt {7}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/01130abdb35d388ef63d1484ac51a33dc02aec1d height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt {-1}}^{2}={\sqrt {-1}}{\sqrt {-1}}=-1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/43a6fe99883dd2ee2bda43eab716e18d9bece3a9 height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt {a}}{\sqrt {b}}={\sqrt {ab}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5cc8d02f310ed2784e426bda06a22b24c278275e height: height attribute not set width: width attribute not set description: {\textstyle {\frac {1}{\sqrt {a}}}={\sqrt {\frac {1}{a}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ea1ea9ac61e6e1e84ac39130f78143c18865719 height: height attribute not set width: width attribute not set description: {\displaystyle {\sqrt {-1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c100a9d6c15a5c191d1de4330644da02c4bc7ee4 height: height attribute not set width: width attribute not set description: {\displaystyle (\cos \theta +i\sin \theta )^{n}=\cos n\theta +i\sin n\theta .} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/3b/circle_cos_sin.gif/330px-circle_cos_sin.gif height: 198 width: 330 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/49bcb7ddc21b4c2d70983137c061fe72b9171719 height: height attribute not set width: width attribute not set description: {\displaystyle e^{i\theta }=\cos \theta +i\sin \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c06427751d7f71ba70ddfae47fb47e6386324ae6 height: height attribute not set width: width attribute not set description: {\displaystyle r={\sqrt {a^{2}+b^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ec820b19602babe3261421d56db1d4023327d517 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)=a_{n}x^{n}+\dotsb +a_{1}x+a_{0},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/16d740527b0b7f949b4bf9c9ce004134bb490b68 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} [x]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fa6ad564b89563b2a749f6ecc7afb9cbfc2c03bc height: height attribute not set width: width attribute not set description: {\displaystyle p(i)=a_{n}i^{n}+\dotsb +a_{1}i+a_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/22b73cd07a74c26124a71211e820932d3c3db9fb height: height attribute not set width: width attribute not set description: {\displaystyle x=i} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/029b404ca14e700bc8fd42f11a126173d5c1a6cb height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} [x]\to \mathbb {c} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5038aa69711746adfd10287ec835eb585a036ac2 height: height attribute not set width: width attribute not set description: {\displaystyle a+bx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/759c679330a1c67db74a3da9ee5cca488de3a589 height: height attribute not set width: width attribute not set description: {\displaystyle x^{2}+1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a37bfb6199846fe6d16ecbb7be96c5ca3848fdcf height: height attribute not set width: width attribute not set description: {\displaystyle i^{2}+1=0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a397538266a79eecf6b7e746fb7791a3bcf532a2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} [x]/(x^{2}+1){\stackrel {\cong }{\to }}\mathbb {c} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dc9de9049e03e5e5a0cab57076dbe4a369c1e3a7 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2e5f0db84bd94b46060f6d631fdda4a7b65f2da7 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{pmatrix}a&-b\\b&\;\;a\end{pmatrix}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bfb2a42d93e6c0c6dc4fd84d2c534d1ccd736bf1 height: height attribute not set width: width attribute not set description: {\displaystyle a+ib\mapsto {\begin{pmatrix}a&-b\\b&\;\;a\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3fae36b2b1b5e42dbc6cb42faff690b21bb9af58 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{pmatrix}\cos t&-\sin t\\\sin t&\;\;\cos t\end{pmatrix}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/440a8a3358e2ea3203a610d0a76aad876bd1cbe7 height: height attribute not set width: width attribute not set description: {\displaystyle \cos t+i\sin t} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/e/e9/complex-plot.png/220px-complex-plot.png height: 169 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/61bc7e5f92a9bc9585b7db872d44fd3cb7fb9665 height: height attribute not set width: width attribute not set description: {\displaystyle \pm {\sqrt {-2-2i}}.} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/e/e1/complexpowers.svg/220px-complexpowers.svg.png height: 220 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5b1a8cdd7ee39054e510deeb38ee551cc7616ae1 height: height attribute not set width: width attribute not set description: {\displaystyle z^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e1c0fa57b899b653a3823f85f43fd666309c09b3 height: height attribute not set width: width attribute not set description: {\displaystyle |z|<1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b679aa1ea7b5c6d6d06a1210b4923aad2c017377 height: height attribute not set width: width attribute not set description: {\displaystyle |z|>1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/77bd602f9ebc09f350085c4805dea85646a4c120 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {d} (z_{1},z_{2})=|z_{1}-z_{2}|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2999b413c874f0ee618486154b679ef6875d48c5 height: height attribute not set width: width attribute not set description: {\displaystyle |z_{1}+z_{2}|\leq |z_{1}|+|z_{2}|} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/8/80/complexexpmapping.svg/220px-complexexpmapping.svg.png height: 106 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ca8ea97a6ca2dd64faf189a995c6cc80af1cde86 height: height attribute not set width: width attribute not set description: {\displaystyle \exp z:=1+z+{\frac {z^{2}}{2\cdot 1}}+{\frac {z^{3}}{3\cdot 2\cdot 1}}+\cdots =\sum _{n=0}^{\infty }{\frac {z^{n}}{n!}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/37bcf5271c78981c0ca2f2ca46b841621b1c284e height: height attribute not set width: width attribute not set description: {\displaystyle \exp(1)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/45e2bc9d17c0545d9f2792476c5473f296957270 height: height attribute not set width: width attribute not set description: {\displaystyle e\approx 2.718} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1578d4fc73aca4efba684f9c66a218c6c871a32a height: height attribute not set width: width attribute not set description: {\displaystyle \exp(i\varphi )=\cos \varphi +i\sin \varphi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/089533cfe83d130a1c07429923de0259762830d7 height: height attribute not set width: width attribute not set description: {\displaystyle \exp(i\pi )=-1.} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/b/b5/complexexpstrips.svg/220px-complexexpstrips.svg.png height: 106 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f5715af49984c5b33961d55f532d14497b0cbae height: height attribute not set width: width attribute not set description: {\displaystyle 2\pi i} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/77b61ef91b2e17b0e5ab7bc44ff2dbb389557353 height: height attribute not set width: width attribute not set description: {\displaystyle \exp(x)=t} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7dd4ef60a8d8dd5a7db33ec3e1380a38912ebb29 height: height attribute not set width: width attribute not set description: {\displaystyle \ln \colon \mathbb {r} ^{+}\to \mathbb {r} ;x\mapsto \ln x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a25dd3b4b438eb2e7d90e7ae6f586f00a54e36a2 height: height attribute not set width: width attribute not set description: {\displaystyle \exp(z+2\pi i)=\exp z\exp(2\pi i)=\exp z} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6232a6e2d35e890d2443d98ff102ad17404326e1 height: height attribute not set width: width attribute not set description: {\displaystyle \exp z=w} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/23246cf4aef2e1c068cd85c66b4ebf1a6c56320a height: height attribute not set width: width attribute not set description: {\displaystyle \log w} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7bbc16095e9164a51da571251a59b3f77e2b43cb height: height attribute not set width: width attribute not set description: {\displaystyle z=\log w=\ln |w|+i\arg w,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/50d836fb007d819a1aab60ece11449d6d754192c height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} ^{+}+\;i\,\left(-\pi ,\pi \right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ebe0ac45a38c4437bd2689a14ec434cd499e7e49 height: height attribute not set width: width attribute not set description: {\displaystyle s_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5a9195ba0433fd0b1768386d0e3b2c11fb5eb684 height: height attribute not set width: width attribute not set description: {\displaystyle \ln \colon \;\mathbb {c} ^{\times }\;\to \;\;\;\mathbb {r} ^{+}+\;i\,\left(-\pi ,\pi \right].} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/65d740d61e0afa8776c8081f366c9d94c612620b height: height attribute not set width: width attribute not set description: {\displaystyle z\in \mathbb {c} \setminus \left(-\mathbb {r} _{\geq 0}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/69f55f57d48954b4f712e2550445ee066490d74f height: height attribute not set width: width attribute not set description: {\displaystyle z\in -\mathbb {r} ^{+}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8e625fe27ba8c070e5376bb0e92c44fa5d4bc244 height: height attribute not set width: width attribute not set description: {\displaystyle z^{\omega }=\exp(\omega \ln z),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ed172b0f5195382a3500c713941f945ad4db3898 height: height attribute not set width: width attribute not set description: {\displaystyle \ln x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/00aee0bc32a306ac68a1521f059c934e48611371 height: height attribute not set width: width attribute not set description: {\displaystyle a^{bc}=\left(a^{b}\right)^{c}.} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/e/e7/sin1z-cplot.svg/220px-sin1z-cplot.svg.png height: 166 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/30bd74de42920d73678106d48b81416d96f3aec7 height: height attribute not set width: width attribute not set description: {\displaystyle f:\mathbb {c} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9e72d1d86e86355892b39b8eb32b964834e113bf height: height attribute not set width: width attribute not set description: {\displaystyle z_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/29c6d93c97b63a8602179e2c96d1fdee50f488a0 height: height attribute not set width: width attribute not set description: {\displaystyle \lim _{z\to z_{0}}{f(z)-f(z_{0}) \over z-z_{0}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/85049970069b0d6c40718cf3dab2cf4757faae30 height: height attribute not set width: width attribute not set description: {\displaystyle f'(z_{0})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/75311667f3ed9db08d4f87510c37e372a2c87d3b height: height attribute not set width: width attribute not set description: {\displaystyle f(z)={\overline {z}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/598df77137da45a239ab44e369e851b66a60db0f height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} ^{2}\to \mathbb {r} ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7eea153148dfb0c706b4d4d654bfa322e2b3c0a4 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\partial f}{\partial {\overline {z}}}}=0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d4cabca98f60f9ee828adb0d73276eb90eb2ee56 height: height attribute not set width: width attribute not set description: {\displaystyle u,v,w} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1b64a901f197da5658f531c5b4cbf0ec9c425265 height: height attribute not set width: width attribute not set description: {\displaystyle \{u,v,w\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b1275fc01560cb752cb3f02f3da8a2087a30cd91 height: height attribute not set width: width attribute not set description: {\displaystyle s(u,v,w)={\frac {u-w}{u-v}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4611d85173cd3b508e67077d4a1252c9c05abca2 height: height attribute not set width: width attribute not set description: {\displaystyle s} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/5/56/mandelset_hires.png/220px-mandelset_hires.png height: 161 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455 height: height attribute not set width: width attribute not set description: {\displaystyle c} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/191627a3eebdd6608c9b226786defc468b747502 height: height attribute not set width: width attribute not set description: {\displaystyle f_{c}(z)=z^{2}+c} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1856f8d9b149522168258a0bde389d0a53e9c6b1 height: height attribute not set width: width attribute not set description: {\displaystyle (x-a)(x-b)(x-c)=0} |
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https://upload.wikimedia.org/wikipedia/commons/7/76/pentagon_construct.gif height: 180 width: 180 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/377a8814b1ca454c488e409813988dd5dd906148 height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {\mathbb {q} }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ffdbcd895d1d9995bd3b58e3e84593fa2800d868 height: height attribute not set width: width attribute not set description: {\displaystyle x(t)=\operatorname {re} \{x(t)\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/50e065a79a4803b81d5dd1e938da8cfa8c8d8087 height: height attribute not set width: width attribute not set description: {\displaystyle x(t)=ae^{i\omega t}=ae^{i\phi }e^{i\omega t}=ae^{i(\omega t+\phi )}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ddbed8f49057649de4c88600c3299463ff52b00e height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\cos((\omega +\alpha )t)+\cos \left((\omega -\alpha )t\right)&=\operatorname {re} \left(e^{i(\omega +\alpha )t}+e^{i(\omega -\alpha )t}\right)\\&=\operatorname {re} \left(\left(e^{i\alpha t}+e^{-i\alpha t}\right)\cdot e^{i\omega t}\right)\\&=\operatorname {re} \left(2\cos(\alpha t)\cdot e^{i\omega t}\right)\\&=2\cos(\alpha t)\cdot \operatorname {re} \left(e^{i\omega t}\right)\\&=2\cos(\alpha t)\cdot \cos \left(\omega t\right).\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/db52b30a48d1206b576a033d782bf35752bb248f height: height attribute not set width: width attribute not set description: {\displaystyle v(t)=v_{0}e^{j\omega t}=v_{0}\left(\cos \omega t+j\sin \omega t\right),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4b9078e78decc9fdf5d57a237bbf756b9cc438a0 height: height attribute not set width: width attribute not set description: {\displaystyle v(t)=\operatorname {re} (v)=\operatorname {re} \left[v_{0}e^{j\omega t}\right]=v_{0}\cos \omega t.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c6ff6a3dc2982018ff20f1d2c927afc74a217be6 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {c} ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8f4d5d3ec97eee8b915d3b14d3fb38579ee639d2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {c} .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/35f44bc6894c682710705f3ea74f33042e0acc3e height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {q} _{p}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e050965453c42bcc6bd544546703c836bdafeac9 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {h} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c1ed2664a4fe515e6fbed25a7193ce663b82920c height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {o} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9f9d5874c5d7f68eba1cec9da9ccbe53903303bb height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {s} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f2b203fa309e89fccdbba22909c8418f6b229779 height: height attribute not set width: width attribute not set description: {\displaystyle xy=yx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/efb185761d3d71a9a59cf8ed17b9a40c518e08ff height: height attribute not set width: width attribute not set description: {\displaystyle (xy)z=x(yz)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/271354b63f808b0b493fc7da9fb0bbe791c3dea4 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\mathbb {c} &\rightarrow \mathbb {c} \\z&\mapsto wz\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/45552f82e2336286287937c9fd47a92fec363f36 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{pmatrix}\operatorname {re} (w)&-\operatorname {im} (w)\\\operatorname {im} (w)&\operatorname {re} (w)\end{pmatrix}},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0d829f1d6ebf86155a275bfb2dc65d67b62b886b height: height attribute not set width: width attribute not set description: {\displaystyle j={\begin{pmatrix}p&q\\r&-p\end{pmatrix}},\quad p^{2}+qr+1=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/52a5d870b8bd7b1820d6da1b8686eab4abbe5bd7 height: height attribute not set width: width attribute not set description: {\displaystyle \{z=ai+bj:a,b\in \mathbb {r} \}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/066b155c535a38739cc0c4b288324cbb7a4a227a height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} ^{2}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0522388d36b55de7babe4bbfc49475eaf590c2bd height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1d178e5ac94e706fdb8d8733d567b7c087b23195 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {h} ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1cdb835d3672e3531f7356ff7327bc996ec44aa6 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {o} .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/29edbdd7a09968cb2fd42397bcab00406e77854c height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} [x]/(x^{2}-1)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9d0ade67281f83ef6b6b7f43bf783c081adb1fc3 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} [x]/(x^{2}+1)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/91185244fbdded6ea99a5e9e6603299128b10928 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {q} ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/34d194e3e8fce9335ed524db967666b4f02fb523 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {q} _{p},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7067dfc2452aaa42321439c9e7aed4641686f4c4 height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {\mathbb {q} _{p}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b6f9e7692267c8a29ed4d848c3421eee929c23c3 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {c} _{p}} |
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https://upload.wikimedia.org/wikipedia/en/thumb/4/4a/commons-logo.svg/30px-commons-logo.svg.png height: 40 width: 30 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/0/0b/wikiversity_logo_2017.svg/40px-wikiversity_logo_2017.svg.png height: 33 width: 40 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/d/df/wikibooks-logo-en-noslogan.svg/40px-wikibooks-logo-en-noslogan.svg.png height: 40 width: 40 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/wikisource-logo.svg/38px-wikisource-logo.svg.png height: 40 width: 38 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6023850da07089febe34ebd02728b8c7a3e05cc5 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {g}}_{2}^{+}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e150115ab9f63023215109595b76686a1ff890fd height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f7094e9db544b53538975f5459e82cd1b8ebd9e height: height attribute not set width: width attribute not set description: {\displaystyle a=m+n{\sqrt {-1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc height: height attribute not set width: width attribute not set description: {\displaystyle m} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7cc5961b7c2f7efd7f3b1077f7bcc537e64f43cf height: height attribute not set width: width attribute not set description: {\displaystyle a_{'}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c7b94eab63e63bb9ba12ea5f72788829ce5320b9 height: height attribute not set width: width attribute not set description: {\displaystyle a'={\sqrt {m^{2}+n^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d1b0a9c9443d7b6a91034a67fafd8a1fefe1d156 height: height attribute not set width: width attribute not set description: {\displaystyle a={\sqrt {m^{2}+n^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4bd81d057bc6b40c69ed7dd94e920562c63eafe9 height: height attribute not set width: width attribute not set description: {\displaystyle a+b{\sqrt {-1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/376768abf04feb3e23dbb75d9430310038fe4c6d height: height attribute not set width: width attribute not set description: {\displaystyle a+b{\sqrt {-1}}\,,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8bd288ad4265a17ac15fd78142b169651cbf17cc height: height attribute not set width: width attribute not set description: {\displaystyle {\tfrac {a}{\sqrt {a^{2}+b^{2}}}}+{\tfrac {b}{\sqrt {a^{2}+b^{2}}}}{\sqrt {-1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c26c105004f30c27aa7c2a9c601550a4183b1f21 height: height attribute not set width: width attribute not set description: {\displaystyle \infty } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ca2608c4b5fd3bffc73585f8c67e379b4e99b6f1 height: height attribute not set width: width attribute not set description: {\displaystyle -\infty } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bddbb0e4420a7e744cf71bd71216e11b0bf88831 height: height attribute not set width: width attribute not set description: {\displaystyle +\infty } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5ec72cfde732f42822df3cbbe175b7465887eb80 height: height attribute not set width: width attribute not set description: {\displaystyle [0,2\pi )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2ba09297ec8ad80d38116c988c033ae42e0d03ca height: height attribute not set width: width attribute not set description: {\displaystyle \scriptstyle {\sqrt {-1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fdf9a96b565ea202d0f4322e9195613fb26a9bed height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {n} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/449494a083e0a1fda2b61c62b2f09b6bee4633dc height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {z} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3fb423c16a5f403edbaf66438b75e7a36e725af6 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {a} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/10d6ec962de5797ba4f161c40e66dca74ae95cc6 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {p}}} |
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https://upload.wikimedia.org/wikipedia/en/thumb/d/db/symbol_list_class.svg/16px-symbol_list_class.svg.png height: 16 width: 16 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/en/thumb/8/8a/oojs_ui_icon_edit-ltr-progressive.svg/10px-oojs_ui_icon_edit-ltr-progressive.svg.png height: 10 width: 10 description: edit this at wikidata |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://en.wikipedia.org/static/images/footer/wikimedia-button.svg height: 29 width: 84 description: wikimedia foundation |
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http://en.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
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