| Calendar | Contact information | Links |
|
|
01141 Complex AnalysisHere you will find a short dictionary prepared by Bodil Branner 2006 {Translation from English to Danish}. The dicionary is also available as a pdf-file. A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z Absolute value = absolut værdi, 8 Absolute convergence = absolut konvergens, 237 Accumulation point = akkumulations-punkt, 43 Analytic continuation = analytisk fortsættelse, 292 Analytic function = analytisk funktion, 70 Antiderivative = stamfunktion, 173 Arc = kurve uden selvgennemskæringer, 150 Argument = argument, 17 Arctic circle = (nordlig) polarcirkel, 45 Bijective = bijektiv Bilinear transformation = bilineær transformation, 389 Binomial formula = binomial formel, 6, 250 Boundary = rand, 42 Bounded set = begrænset mængde, 42 Branch = gren, 122, 132 Branch of argument = gren af argument, 18 Branch of logarithm = gren af logaritme, 119 Branch, principal = hovedgren, 18, 119 Branch cut = forgreningssnit, 18, 119 Branch point = forgreningspunkt, 122 Cauchy criterion = Cauchy kriterium, 262 Cauchy estimates = Cauchy vurderinger, 214, 215 Cauchy product = Cauchy produkt, 247 Cauchy sequence = Cauchy følge, 262 Cauchy series = Cauchy række, 263 Cauchy's integral formula = Cauchy's integralformel, 204, 210, 211 Cauchy's integral theorem = Cauchy's integralsætning, 187, 194 Cauchy-Riemann equations = Cauchy-Riemann ligningerne, 73 Chain rule = kæderegel, 69 Chordal distance = kordeafstand, 49 Circle of convergence = konvergenscirkel, 253 Closed contour = lukket kontur, lukket kurve, 157 Closed disk (set) = afsluttet cirkelskive (mængde), 42 Compact = kompakt, 42 Comparison test = sammenligningskriterium, 236 Complex conjugate = kompleks konjugeret, 10 Complex number = komplekst tal, 3 Complex plane = kompleks plan, 8 Complex plane, extended = udvidet kompleks plan, 288 Conformal = konform, 378 Conjugate = konjugeret, 10 Connected set = sammenhængende mængde, 40, 44 Contour = kontur, kurve, 154 Contour, integral along = kurveintegral, 162, 167 Contour, length of = længde af kurve, 159 Convergence = konvergens, 58 Convergence, Cauchy criterion for = Cauchy kriteriet for konvergens, 262 Convergence, absolute = absolut konvergens, 237 Convergence, pointwise = punktvis konvergens, 238 Convergence, uniform = uniform eller ligelig konvergens, 238 Cross-ratio = dobbeltforhold, 397 Curve = kurve, 149 De Moivre's formula = De Moivre's formel, 29 Deformation invariance theorem = deformations-sætningen, 186 Deformation of contours = deformation af konturer (eller kurver), 182 Denominator = nævner Derivative = afledet, 67 Differentiability = differentiabilitet, 67 Differential equation = differentialligning, 67 Differential equation, power series = potensrækker og differentialligning, 258 Distance = afstand, 9 Directed smooth arc = orienteret glat kurve uden selvgennemskæringer, 152 Dirichlet problem = Dirichlet problem, 222 Dirichlet problem for unit disk = Dirichlet problem for enheds cirkelskiven, 224 Disk = cirkelskive Domain = område, domæne, 40 Domain of analyticity = analyticitetsområde Domain of conformality = område hvor funktionen er konform, 378 Domain of definition = definitionsmængde, 53 Entire function = hel function, 70 Equipotential = ækvipotential, 81 Essential singularity = væsentlig singularitet, 279, 282 Essential singularity at infinity = væsentlig singularitet i uendelig, 288 Euler's equation = Euler's ligning, 27 Exponential function = eksponential funktion, 27, 111 Extended complex plane = udvidet kompleks plan, 48, 288 Fibonacci sequence = Fibonacci følge, 268 Fixed point = fikspunkt, 92 Focus, focal point = brændpunkt Fractals = fraktaler, 93 Fundamental region = fundamentalmængde (eller område), 112 Fundamental theorem of algebra = algebraens fundamentalsætning, 101, 216, 362 Fundamental theorem of calculus = integralregningens fundamentalsætning, 161 Generalized Cauchy integral formula = generaliseret Cauchy integralformel, 210, 211 Generalized circle = generaliseret cirkel, 388 Geometric series = kvotientrække, 236 Great circle = storcirkel, 50 Green's theorem = Green's sætning, 192 Harmonic conjugate = harmonisk konjugeret, 80 Harmonic function = harmonisk funktion, 79, 221 Holomorphic function = holomorf funktion, 70 Hyperbolic functions = hyperbolske funktioner, 114 Image = billede, 53 Imaginary axis = imaginær akse, 8 Improper integrals = uegentlige integraler, 337 Independence of path = uafhængighed af vejen, 173 Infinity (point at) = uendelig (punkt i), 288 Initial point = begyndelsespunkt, 173 Integral = integral, 162 Integral, bounds for = grænser for integral, 169 Integral, contour = kurveintegral, 167 Integration by parts = partiel (eller delvis) integration, 179 Interior point = indre punkt, 39 Inverse trigonometric functions = inverse trigonometriske funktioner, 134 Inversion = inversion, 55, 387 Isolated singularity = isoleret singularitet, 277 Isotherms = isotermer, 81, 419 Jacobian = Jacobiant, 78 Jordan curve theorem = Jordan's kurvesætning, 158 Joukowski, 57, 438 Julia set = Julia mængde, 92 L'H\opital's rule = L'H\opital's regel, 72, 261 Laplace's equation = Laplace's ligning, 79, 221, 369 Laurent series = Laurent række, 269 Leibniz's formula = Leibniz's formel, 248 Level curve = niveau kurve, 81 Limit = grænse, 58 Linear transformation = lineær transformation, 57, 385 Liouville's theorem = Liouville's sætning, 215, 226 Logarithm = logaritme, 118 Loop = løkke, 157 Maclaurin form = Maclaurin form, 103 Maclaurin series = Maclaurin række, 242, Magnification = skalering, 57, 385 Mandelbrot set = Mandelbrot mængden, 93 Mapping = afbildning, 53 Maximum modulus principle = maksimum modulus princip, 217 Maximum principle = maksimum princip, 222 Mean-value property = middelværdi egenskab, 226 Meromorphic = meromorf, 355 Minimum modulus principle = minimum modulus princip, 220 Minimum principle = minimum princip, 222 Möbius transformation = Möbius transformation, 389, 396, A-19 Modulus = modulus, 8 Multiple-valued = flertydig, 118 M-test = Weierstrass majorant kriterium, 263 Neighborhood = omegn, 39 Numerator = tæller One-to-one function = en-til-en eller en-entydig funktion, 111 Open disk (set) = åben cirkelskive (mængde), 39 Open mapping property = åben afbildningsegenskab, 363 Orbit = bane, 91 Order relation = ordnings relation, 7 Parametrization = parametrisering, 149, 154 Partial fraction decomposition = dekomponering i stambrøker, 105 Partial fractions = stambrøker, 105 Partial sum = afsnit, 235 Picard's theorem = Picard's sætning, 282 Piecewise smooth curve = stykkevis glat kurve, 157 Pointwise convergence = punktvis konvergens, 238 Polar form = polær form, 18 Pole = pol, 104, 279 Pole of order m (or multiplicity) = pol af orden m (eller multiplicitet), 104, 279 Polygonal path = polygonal sti (eller vej), 39 Polynomial = polynomium, 61 Polynomials = polynomier, 99 Potential = potential, 200 Power series = potensrække, 252 Primitive m'th root of unity = primitiv m'te enhedsrod, 34 Principal branch = hovedgren, 119 Principal value of argument = hoverværdi af argument, 18 Principal value of logarithm = hovedværdi af logaritme, 119 Principal value of integral = hovedværdi af integral, 319 Pure imaginary number = rent imaginært tal, 4 Quadratic formula = løsningsformel til rødder i kvadratisk polynomium, 36 Radius of convergence = konvergensradius, 253 Range = værdimængde, 53 Ratio test = kvotientkriterium, 237 Rational function = rational funktion, 62, 99 Real axis = reel akse, 8 Regular = regulær, 70 Removable discontinuity = hævelig diskontinuitet, 62 Removable singularity = hævelig singularitet, 279 Residue = residuum eller residue, 109, 308 Residue theorem = residue sætning, 312 Resistance = modstand, 139 Riemann hypothesis = Riemann hypotesen, 268 Riemann mapping theorem = Riemann's afbildningssætning, 380 Riemann sphere = Riemann-kuglen, 45 Riemann sum = Riemann sum, 162 Riemann zeta function = Riemann's zeta funktion, 268 Roots of unity = enhedsrødder, 34 Rotation = rotation, 57, 384 Schwarz-Christoffel transformations = Schwarz-Christoffel transformationer, 407 Sequence = følge, 235 Series = uendelig række, række, 235 Simple pole = simpel pol, pol af orden 1, 280 Simple zero = simpelt nulpunkt, nulpunkt af orden 1, 278 Simply connected domain = enkeltsammenhængende område, 184, 193 Single-valued = entydig (ikke at forveksle med one-to-one = en-entydig), 118 Singular part = singulær del, 107 Singularity = singularitet, 278, 279 Singularity, essential = væsentlig singularitet, 279 Singularity, pole = pol, 279 Singularity, removable = hævelig, 279 Slit plane = opskåret plan Smooth arc = glat (eller regulær) kurve uden selvgennemskæring, 150 Smooth closed curves = glatte (eller regulære) lukkede kurver uden selvgennemskæring, 150 Streographic projection = stereografisk prjektion, 44 Strip = strimmel Taylor form = Taylor form, 103 Taylor series = Taylor række, 242 Terminal point = endepunkt, 173 Translation = translation, parallelforskydning, 57, 384 Triangle inequality = trekantsulighed Trigonometric functions = trigonometriske funktioner, 113, 114 Tropic of Cancer = (Krebsens) vendekreds, 45 Uniform convergence = uniform eller ligelig konvergens, 238, 239 Washer = pakning, 125 Wedge = kile, 126 Weierstrass M-test = Weierstrass majorant kriterium, 263 Zero of order m = nulpunkt af orden m, 277 dictionary.php
Sidst ændret: 20.08.2010 kl 15:41:17 |
| Map of DTU | Search by Google | Write the webmaster |