</p> Permutationsgruppe - permutation (sub)group9 b2 J7 m' B4 d9 F& ] ^7 y
Pfaffsche form - pfaffian- i$ M0 X3 P1 Y u1 B
Pivotsuche - pivoting9 n2 K; L! f+ Y6 e: e3 Z
Poisson-Verteilung - Poisson distribution9 Q o2 ?' ]: @3 }
Pol - pole
. b$ I' f, y0 H+ i4 N Polarisierung - polarization' W" }4 x7 B D. ^
Polarkoordinaten - polar coordinates
% I% V. z$ T m& |% Q Polyeder - polyhedron7 B# H4 A0 }& K2 {
Polynom - polynomial: q, A" n0 ]. K
polynomiale Abbildung - polynomial mapping ]: y W3 E1 Y& g, e
Polynominterpolation - polynomial interpolation
2 k$ t+ [( I' J9 c3 U' ` positiv - positive, C4 m2 }+ Q4 S
positiv definit - positiv definit% ~! D/ G' {9 s, X4 r% B
Potentialgleichung - potential equation
0 g" T7 \! t) L( s5 } Potenzmenge - power set2 F# e9 U1 m* K1 S; r) }) t/ G
Potenzreihe - power series$ o+ _/ |/ \5 J/ s! A( i
Pr?hilbertraum - prehilbert space) H% v) r' @3 A$ V4 K& |+ x
pr?kompakt - precompact( F0 l9 A+ z0 n$ w: @% M
Prediktor-Korrektor-Verfahren - predictor-corrector method
1 g9 H0 X8 o o) j+ T Primelement - prime element) T7 b; z! L. a; B" T0 K. X
Primfaktorzerlegung - decomposition into primes& d# D: Z$ f+ D" ^! t; G
Primideal - prime ideal1 w% a2 ]. l: V' H
primitive Einheitswurzel - primitve root of unity
: E- y, K' R" L2 N4 {6 e primitives Polynom - primitive polynomial
1 ?4 I$ k5 X" u/ k Primk?rper - prime field4 H) k$ U& a) b& M) H* l) _6 R" q
Primzahl - prime number
5 |; t- B6 c( ?- }) R l Prinzip der gleichm??igen Beschr?nktheit - principle of uniform3 e5 m: e- e8 i6 M2 _, v" p
boundedness
7 R" U& N7 ?2 u. T( w) o" | Prinzip der offenen Abbildung - open mapping principle
9 K# u& b1 E( c; B2 j- L Produktma?- product measure1 h- l' W A# g7 f" k
Produktregel - product rule* C- _: b f4 X; \( k4 ]* \
Produkttopologie - product topology
$ t, b0 }2 j2 p( e& g! ] Projektion - projection
8 M$ R: X. @6 X! U+ r projektiver Raum - projetive space$ n; Q4 j% g5 ^# g) ^
Projektivit?t - projectivity) M' t+ l) d1 _) V% C
Punktsch?tzung - point estimation- b: i6 W+ V& U/ k
punktweise Konvergenz - pointwise convergence
5 }: C7 \1 a- s4 l/ t, X2 ^ [ Q ]2 R# G, W' ^, W5 L; [9 m* p8 t
quadratische form - quadratic form, q! h; }5 V! N
quadratischer Rest - quadratic residue6 V3 ^7 f O, m1 [' ]0 a: `
Quadraturformel - quadrature formula
' ~) O% E' m6 q1 |) s) W Quadrik - quadric7 C* e: e8 M) P. w
Quantil - quantile
) I: s" y% A# Z Quaternionen - quaternions
- N3 P- D% ^1 _2 V* f* c, f/ D Quotientengruppe - quotient group
& G9 W3 ~- L W& r1 N Quotientenk?rper - quotient field
) j3 n6 f/ a' D1 x! Z6 _( t( e Quotientenkriterium - ratio test
1 W B9 g: |# _7 z0 ^+ T3 d5 o, ~ Quotientenmenge - quotient set3 Z5 I2 m( ]: H
Quotientenregel - quotient rule" Q' o' Y O. G! W9 J
Quotiententopologie - quotient topology: f1 K, H2 `+ U
Quotientenvektorraum - quotient vector space
' X$ D. f _) \# m& }" c8 J: ]# ` [ R ]% O j2 ~, [4 P) y; z3 x3 Q
Radikalerweiterung - radical extension
+ S3 r4 g/ n- h1 I% G+ a. p Rand - boundary, frontier
0 u; h2 ~# d) `% D1 I Randwertproblem - boundary value problem- u d |- J _0 Y# h2 g" v6 M! Z9 q
Rang - rank
# Q# W0 t$ n. {4 O rationale Abbildung - rational mapping$ l# x. L3 [9 o4 D2 ^$ d9 x
rationale Interpolation - rational interpolation" |+ G, j. U' X: k" E2 e# ~8 D
rationale Zahl - rational number
: ~# ^% S+ s* l+ [/ s1 E L1 F Raum - space
: F2 V7 q" ?# X' d. w Realteil - real part
1 x- X& l" X9 I Rechteckverteilung - uniform distribution' A( I- ]* e& D4 c
reduzibel - reducible4 h# U4 ^1 E: c& ?- J- Z; Z3 U7 @
reelle Zahlen - real numbers" m( a% e- p; c
reflexiv - reflexive
; H" @. z' j6 b; x Regel von Sarrus - Sarrus diagram
1 \3 Z6 G2 v' B& Q4 A, n regul?r - regular( Y1 g" J/ `" |7 m' C+ D
Reihe (unendlich) - series) b8 `( w; L- I! z
rektifizierbar - rectifiable/ @& w5 q. y- `* w
rektifizierende Ebene - rectifying plane h) h. N1 y3 [4 r. c/ s
Rekursionssatz - recursion theorem0 w2 ?% ^( P1 h+ S8 g
relativ kompakt - relatively compact
$ `8 a2 C. R z3 Q, \. ^ relative H?ufigkeit - relative frequency! O) X3 T) H& t, [
relativer Fehler - relative error# V. F' `/ m5 n$ W. Y
Repr?sentant - representative
3 n; V6 L3 o B7 B: G/ J Residuensatz - residue formula, residue theorem* P( ?" _! e5 s; I. b
Residuum - residue
' k4 r6 [, p- V4 T2 a- g, u; K( M Resolventenmenge - resolvent set
u. r" \5 T. ]3 X Restklasse - residue class
! A# S. M5 Q) N2 B8 X$ H$ x7 V Restklassenmodul - factor module
; _! [9 \. G1 x$ c1 P( Z Restklassenring - factor ring
4 ~5 c( p( Z9 z3 m7 b Retrakt - retract: i* k) o: z3 m& l
Riemannsche Fl?che - Riemann surface5 ~; H) E, _5 [# ]9 U2 p; ]/ d
Riemannsche Summe - Riemann sum
. x- a3 Z. z' U8 g8 z Riemannsche Zahlenkugel - Riemann sphere
9 J1 i6 u2 b* @- C Riemannscher Abbildungssatz - Riemann mapping theorem
" R2 v- J* ]: b8 y# ]- h Riezscher Dartstellungssatz - Riesz representation theorem
- {+ C% [# }. M; M) L( N" z Ring - ring
; e: m3 c0 _3 ?$ D" @" L. i! B z Rombergintegration - Romberg''s integration method
5 p) p F4 T7 g% X7 }2 d; N Rundungsfehler - round-off error% W! S+ [1 Q! S& R
[ S ]2 |! |: m! e# O5 ~+ M
Satz über die Umkehrabbildung - inverse mapping theorem$ W% G h* b- X
Satz über implizite Funktionen - implicit function theorem W) E T5 x! j& [+ x9 u
Satz vom inversen Operator - continuity of the inverse operator
8 e( o: F. A2 s- S$ t6 o Satz von Baire - Baire category theorem+ I; J6 W4 ^$ k
Sch?tzung - estimation
: t% H# v/ S; S: I; J Schiefk?rper - skew field
, Y M# I1 Z( v2 g5 M5 C: G Schie?verfahren - shooting method- G" k& F5 a9 R) A
Schmiegebene - osculating plane' x, I& H- k. u" H) H0 @
Schranke - bound9 }2 ?& ?/ H, b1 D5 j; m
Schrittweitensteuerung - step(-size)control$ U9 I6 v; q: g
schwach-*-Topologie - weak * topology9 Z( O. @- A( S- t) m& u% z
schwache Topologie - weak topology; T% `+ R( d& C; x4 m: e4 m2 C3 |
Schwarzsche Ungleichung - inequality of Schwarz3 A) R* t; a+ D- w$ H
Schwarzsches Spiegelungsprinzip - Schwarz reflection principle
! I9 @( {8 a" D: c I9 c# I$ d Schwingungsgleichung - Wave equation
+ A2 Y1 o$ C$ ?( `/ @$ x9 h3 I Sehnentrapezregel - trapezoid(al) formula
6 N2 Y* @0 t8 w0 h8 S' j Sekantenverfahren - secant method
) D$ h- o$ l, j3 E selbstadjungiert - self adjoint/ u8 k. P0 v# F* N! C, Y* q3 D
Semiaffinit?t - semiaffine map& T+ A" K' @, l1 F
semidirektes Produkt - semidirect product
8 |8 ?) c ^- E) k' G# n) [$ ] semilinear - semilinear6 j S0 @7 p# }% Y) B
semilokal einfach zusammenh?ngend - semilocally simply connected separabel
5 R8 C6 T8 Y4 D! [ separiert - separated
0 u5 t" \. j7 s& H& k1 B Sesquilinearform - sesquilinear form6 N" w4 v- M$ c1 \0 @" V
Signatur - signature! L! o9 G3 o1 B! |# T
Signum - sign
# P* q' |3 O# o* X# `: l9 [ Simplexmethode - simplex method, @5 Q! B/ w/ O" k% E7 f
Simpsonregel - Simpson''s rule' N9 v0 s2 ^. Z6 u- |5 J' s
singul?r (z.B. Matrizen) - singular1 ^2 Z( K% _* c+ S: t0 L
singul?rer Punkt - singular point. P6 W) B8 K9 s1 [+ k; [
Singularit?t - singularity4 p! h. z; v3 O0 d3 t
sinus - sine- I$ e* S# }3 Y3 ]% P0 ?/ z0 Y6 X
Skalar - scalar; q) j3 V7 ]: r9 \8 X3 v
Skalarprodukt - dot product, inner product, scalar product% v( T% Z% v- Q
Skalierung - scaling; w4 M! M$ [8 b1 l
Spatprodukt - parallelepipedial product
1 _# O% b! E' h7 c/ c B* G Spektrum (z.B. eiens linearen Operators) - spectrum
* V# N9 z. S H' { spezielle orthogonale Gruppe - special orthogonal group
! S/ A7 X) }* C |- Q; B0 s Spiegelung - reflection! z; D$ J: h1 u& ~; c$ x7 D
Spline-Interpolation - spline interpolation
5 c& p$ @2 L% j2 t% | Spur - trace
- w0 R. z8 W( a U Stabilisator - stabilizer
1 o: r- O8 \+ ~2 D Stabilit?t - stability
( s' \% \) S3 i' B$ r3 @ Stammfunktion - primitive (function)
1 i V' v9 y) I1 f& ~ Standardabweichung - standard deviation! d6 E/ z$ V& w( E# B# z6 L6 v+ V
steife Differentialgleichung - stiff differential equation) }% r1 s2 y1 K6 f$ c
steigend (z.B. Funktion) - increasing; C/ F) H* E7 D o
stereographische Projektion - stereographic projection
+ `6 H8 k9 {- n3 V; R8 G sternf?rmig - starlike- ]8 T, \; o# T1 ]& f% a
stetig - continuous0 |2 \) q# k8 V4 z& D3 u9 {" A
stochastisch unabh?ngig - stochastically independent
& }; C& S4 ?& J8 S Streuung - dispersion
0 `* x) ]. F2 n; L# O8 K( M stückweise - piecewise
4 `3 f. e, i( l' ~9 w4 a9 L$ T studentsche t-Verteilung - Student''s t-distribution4 t; K5 Z- \) N1 P5 J; S2 u- m
Subbasis - subbase
" F3 g, K+ x# X t sublinear - sublinear7 {1 k9 O5 n$ Q+ e% p1 h! f
Substitutionsregel - substitution formula ]6 _7 \. J. H+ S
sukzessive Approximation - successive approximation/ F4 b$ @$ A2 H T0 D- k
Summentopologie - disjoint union topology9 q- J* ?2 f& c5 }0 F: H
summierbare Funktion - summable function- t% N2 _) m; _0 G& w
Supremumsnorm - supremum norm( R' o @' O' {# W3 D& M
surjektiv - surjective, ...onto
5 b. O: t4 O' `4 z h' M, x Sylow-Gruppe - Sylow subgroup1 h* a! p: K, T% {: [5 ?7 `6 A
Sylvesterscher Tr?gheitssatz - Sylvester''s theorem of inertia
8 O4 C, p; v m8 T3 g5 k( f symmetrische Bilinearform - symmetric bilinear form
( b8 K! `. x. y0 P3 {3 q symmetrische Gruppe - symmetric group
# r, }: _" z! X6 X" J- H W0 W, A+ j symmetrische Matrix - symmetric matrix
8 J# h" s/ V2 x9 i7 d+ l6 ? @ symmetrisches Polynom - symmetric polynomial, v& R! }& G2 O" }# w
[ T ]
9 g- N- |8 P% I# E4 O5 w. p% U tangens - tangent
& M" I2 i! F; Z+ x! w% O Tangente - tangent
9 N+ d; e1 R& i, ?1 @% K# u Tangentialebene - tangent plane7 }* g" d% @! D2 F. R7 U
Tangentialraum - tangent space
, F7 k6 d7 h' F" ?! t/ y Tangentialvektor - tangent vector
) o- m7 g# [' X n1 { ^3 U" E Taylorreihe - Taylor series
7 |3 K* V2 v3 e+ s$ z Teilbarkeit - divisibility- x+ V' Q' M+ Q% }3 L9 R s
teilerfremd - coprime" u* h8 ~# l& _ s% d( V) @9 k
Teilfolge - subsequence- i( _+ g$ A; c! K
Teilraum - subspace% ?; S* E8 x4 G
teilweise geordnet - partially ordered
2 P0 i/ Z0 y i" h2 K; R! z Tensoren - tensors
7 d6 a/ a/ r. h' t4 N6 S/ }) | Tensorprodukt - tensor product
1 \" s# V# n. b% [, X8 @+ _4 Y3 B2 ] s Testfunktion - test function6 G a; [1 [& ?
Topologie - topology
% l2 `' g. ^" k) u5 @3 G; g topologische Summe - free union
/ u* R( D9 d; ~# H$ g9 o topologischer Raum - topological space
! W# ?- i" \$ F4 f2 O% k5 \8 b- O topologischer Vektorraum - topological vector space! \& y3 K" X3 T" J& b. L7 N
Torus - torus
! n$ M/ O: H6 W8 T. ]: o! ? total beschr?nkt - precompact* W# y6 U! ]. D) ^
total unzusammenh?ngend - totally disconnected4 }! N3 ]2 U0 l7 c3 z1 Y& a4 u3 Q
totale Wahrscheinlichkeit - total probability. [& B% @6 c8 e
Tr?ger (z.B. einer Funktion) - support0 i3 r! r9 X1 E
Tr?gheitssatz - theorem of inertia
( o+ }8 H4 T# z transitiv - transitive0 [3 k: e1 h* z6 b" Q* ^+ a8 Y$ X
transponierte Matrix - transposed matrix
; L% s; O! {$ e& C# U transzendent - transcendental
( ]2 d8 {, d9 c5 V" N Trennungsaxiome - separation axioms" d+ n5 C F4 o4 f6 f- a+ j1 f' K7 q
Treppenfunktion - step function
4 P* p" D/ Y8 K' \ Tridiagonalmatrix - tridiagonal matrix
5 P5 I2 b( ^7 k7 I$ f! b trigonometrische Funktionen - trigonometric functions
f9 ]. r! Z5 J6 _/ z. l7 n [ U ]
0 X/ Z; o& r1 l6 a- ] überdeckung - cover
' ]3 i2 l4 K0 C3 k überlagerung - covering! ^/ G$ i: G! Q1 E5 e. \3 q, n
Ultrafilter - ultrafilter) r9 l( g* O* Q! O* Y- n2 A4 H
Umgebung - neighbourhood% f* L& v; A- U! {8 e) Z
Umgebungsbasis - fundamental system of neighbourhoods
8 a( S: J, C2 K& Y/ V# V, M/ c Umgebungsfilter - neighbourhood filter/ j% t+ r/ ?) B1 s) ~2 c
Umlaufzahl - winding number
& |2 D# I( ?. m5 m1 P% P- L Umordnung (z.B. von Reihen) - rearrangement% z- c7 C7 F$ O! c% t/ ^! r
Unbestimmte - indeterminate: |5 F" U5 k; n1 y" g
unbestimmtes Integral - indefinite integral5 n. C/ B1 k% U- d; A" v( z
uneigentliches Integral - improper integral
/ ~5 T3 O' t7 t5 \$ C ungerade - odd6 C2 c6 Z; C- n, w' L8 o# `
unit?re Gruppe - unitary group
0 y' s' l' Z5 J, d" p2 g T4 K unit?re Matrix - unitary matrix8 b( ?7 C' a7 v; C7 o N
unit?rer Endomorphismus - unitary endomorphism, G1 D z1 F7 e6 P# F
unit?rer Operator - unitary operator
( i" @. W- G* ~5 Q% k$ I unit?rer Vektorraum - unitary space/ }$ O i7 k7 B( _
universelle überlagerung - universal covering2 I3 P1 D% P5 B# p4 r( {
Untergruppe - subgroup \, ?( }% Y. Z: G
Untermodul - submodule
7 r4 w. j- s; @" Y4 v4 t' c! o+ l+ ~ Unterraum - subspace$ q9 z& d) L+ b" D, J
Unterring - subring
i% B7 q& X! o* e+ N3 S* E& Q unverf?lscht - unbiased) [$ u% h6 R' R4 O/ f, A- m$ Z* q, \
Urbild - inverse image
3 ~! r3 o$ p S9 j Urnenmodelle - urn models, v: e/ j: N/ l$ W8 Z$ g" P% `
[ V ]' ` W L# q9 { i" s; }
Varianz - variance
1 ]1 h$ Y) F- B( s3 h( _ Vektor - vector8 d! n$ |$ S1 k
Vektoranalysis - vector analysis
. S6 x; x6 V+ z! g5 i* L Vektorfeld - vector field
+ b& ?) L3 {1 M# `7 m% Q ^% c5 e: a Vektoriteration - vector iteration3 V2 i) x: N! Y+ H$ f
Vektorprodukt - vector product1 a3 h; H! \2 `( k
Vektorraum - vector space
. r$ c# C& U8 g+ O- b5 J8 g Verband - lattice) S4 C0 J2 y5 ?( D4 k
Verbindung(sraum) - join of two spaces
) V. }- _/ z `9 t) }& e* G Vereinigung - union
s3 N: r, y& o. p0 \- V% N7 J g Verknüpfung - composition law
8 g6 J! K @5 Y+ o Verteilung - distribution, law K2 t( i' }7 E. E3 N9 ^, P
Verteilungsfunktion - distribution function
& |& s k5 R L( N: ?1 \: i% C Vervollst?ndigung - completion3 ~5 r- O2 L# j- d+ c
Verzerrung (bei statist. Sch?tzung) - bias% A8 @) }2 X7 o5 E$ e- j
verzweigte überlagerung - branched covering, V+ Y% ]) O8 F
Vierscheitelsatz - four vertex theorem
; F1 }2 o0 U( `; H" G6 c/ T& @# N vollkommen (z.B. K?rper) - perfect @; U- @6 y3 h
vollst?ndig (z.B. metrischer Raum, Verband) - complete( g' P) G" L8 k# I5 ~: a
vollst?ndig normal - completely normal
/ n3 ~. W' N! `8 c4 e5 f vollst?ndig regul?r - completely regular3 \1 |- F8 o0 s- ]+ Y, P" @4 ~+ y
vollst?ndige Induktion - complete mathematical induction
/ T* B4 o# E* _$ N vollst?ndige Induktion - induction
' ]" J2 M) c1 K% _ Vollst?ndigkeit - completeness* c3 I; f1 t m+ b! q
Volumen - volume
' }) G; K' `( u" Q1 W: g* b" C [ W ]
# V0 b0 H1 I) U8 f. U+ { Wahrscheinlichkeit - probability6 x$ G" n/ C8 H, @
Wahrscheinlichkeitsma?- probability measure
5 P, q9 ]7 D3 w/ l6 L9 a5 f Wahrscheinlichkeitsraum - probability space; G6 m$ F7 w1 \, a5 Y/ S
Wallisches Produkt - Wallis'' product
5 c2 h) x$ t2 Y2 i W?rmeleitungsgleichung - heat equation7 m% H8 x) k A5 B: m
Weg - path
0 y' H. H' E3 U* b wegzusammenh?ngend - arcwise connected, pathwise connected Wellengleichung
$ ]# ~( H1 r7 j; r3 K - Wave equation
; W6 w3 i. x" s, | Wertebereich (einer Funktion) - range of a function! `& I4 F2 O2 M) ^
wesentliche Singularit?t - essential singularity
) I# ~9 F5 k' h2 b$ c8 Q! q windschief (Geraden) - skew
5 k1 \! x* H! L4 p5 G: b* _' X8 Z Winkel - angle
7 Y: j: n! A5 @% t! y Wohlordnungssatz - well-ordering theorem) `0 R7 `3 L8 f7 ^. y
Wronski-Determinante - wronskian
% f& ~* e; Z. ^0 ]0 F. @ Wurzel - root
0 Q" ~! ^! ?0 F$ O, k/ X1 h1 w Wurzelkriterium - root test9 ]3 M9 m. B' N! q# R, K
[ Z ]
+ B) {' h8 k2 Q Zahlen - numbers
! _/ m; H( P p3 Z" m: l5 S& O* p Z?hlma?- counting measure K4 k7 k! L5 N$ n0 _2 U) c
Zentralisator - centralizer2 g7 d( Y) b4 m2 o; |! u6 d
Zentrum (z.B. einer Gruppe) - center
& A1 ]) w m4 S R Zerf?llungsk?rper - splitting field0 _- k* d6 r' n
Zerlegung - partition
' B9 |& y: S% n6 Z ZPE-Ring - UFD-domain (unique factoriation domain)
/ m5 s) K6 `6 ?: N Zufallsvariable - random variable
8 }4 F4 s0 i7 d( _2 s! z1 N5 w zusammenh?ngend - connected
$ q( j& k8 j' \0 r0 z; M, R8 f Zusammenhangskomponente - connected component
' M, ?" z: v# N% `4 E zusammenziehbar - contractible
+ E) B, w' S3 ]) w6 o Zwischenk?rper - intermediate field* _. X3 m/ L S7 {3 n
Zwischenwertsatz - intermediate value theorem
+ x& _. W+ x0 Z; l E; \0 y' ] zyklische Gruppe - cyclic group! d- I+ c R0 i8 s9 R! G' O+ s
zyklische Permutation - cycle, cyclic permutation
5 c. I9 \5 _3 w zyklischer Modul - cyclic module
1 |* K: @3 o n: x+ X Zykloide - cycloid |