List of mathematical abbreviations
This list of mathematical abbreviations shows well-known abbreviations of mathematical terms consisting of two or more letters . In addition to the abbreviation itself, the full form (possibly in a foreign language) and the German meaning are given.
A.
Fig. | Illustration | function |
Section | absolutely | absolute value |
AC | axiom of choice | Axiom of choice |
adj | adjoint | Adjoint matrix |
adj | adjunct | Adjuncts |
AGM | arithmetic-geometric mean | Arithmetic-geometric mean |
Ai | Airy | Airy function |
Old | alternating | Alternating group |
AMG | algebraic multigrid method | Algebraic multigrid method |
ANOVA | analysis of variance | Analysis of variance |
arccos | arcus cosinus | Arccosine |
arccot | arcus cotangens | Arccotangent |
arccsc | arcus cosecans | Arccosecans |
ARCH | auto-regressive conditional heteroscedasticity | ARCH model |
arcosh | area cosine hyperbolicus | Hyperbolic areakosine |
arcoth | area cotangens hyperbolicus | Hyperbolic areakotangent |
arcsch | area cosecans hyperbolicus | Hyperbolic areakosekans |
arcsec | arcus secans | Arc secans |
arcsin | arcus sinus | Arcsine |
arctan | arcus tangens | Arctangent |
bad | argumentum | Complex number argument |
arg max | argumentum maximi | Argument of the maximum |
bad min | argumentum minimi | Argument of the minimum |
ARMA | auto-regressive moving average | ARMA model |
arsech | area secans hyperbolicus | Hyperbolic Areasekans |
arsinh | area sinus hyperbolicus | Hyperbolic area |
artanh | area tangens hyperbolicus | Hyperbolic areatangens |
Aut | Automorphism | Automorphism group |
AWA | Initial value problem | Initial value problem |
AWP | Initial value problem | Initial value problem |
B.
Bi | - | Airy function of the second kind |
BMO | bounded mean oscillation | BMO room |
BV | bounded variation | Limited variation |
BLUE | best unbiased linear estimator | Best Linear Unexpected Estimator |
BUE | best unbiased estimator | Best unbiased estimator |
BLUP | best linear unbiased prediction | Best linear expectation prediction |
C.
card | cardinalis | Power of a crowd |
CAS | Computer algebra system | Computer algebra system |
CG | conjugate gradient | Conjugate gradient method |
CGS | conjugate gradient squared | CGS procedure |
char | Characteristic | Characteristic of a ring or body |
Ci | cosinus integralis | Integral cosine |
Cl | Clausen | Clausen function |
cn | cosinus amplitudinis | Cosine amplitudinis |
Cof, cof | cofactor | Cofactor matrix |
coker | cokernel | Coking a figure |
cos | cosine | cosine |
cosh | hyperbolic cosine | Hyperbolic cosine |
cot | cotangent | cotangent |
coth | cotangent hyperbolicus | Hyperbolic cotangent |
Cov | covariance | Covariance of two random variables |
csc | cosecans | cosecant |
csch | cosecans hyperbolicus | Hyperbolic cosecan |
CSU | Cauchy-Schwarz inequality | Cauchy-Schwarz inequality |
D.
DAG | directed acyclic graph | Directed acyclic graph |
DCT | discrete cosine transform | Discrete cosine transformation |
def | malfunction | Defect of a linear mapping |
def. | by definition | Definition equation |
deg | degree | Degree of a polynomial |
det | Determinant | Determinant of a matrix |
DFT | discrete Fourier transform | Discrete Fourier Transform |
DGL, DGl., Dgl., DG | Differential equation | Differential equation |
diag | diagonal | Diagonal matrix |
diffbar | differentiable | Differentiability of a function |
dim | dimension | Dimension of a vector space |
div | divergence | Divergence of a vector field |
dn | delta amplitudinis | Delta amplitudinis |
dom | domain or domain | Definition set of a function or an operator |
DST | discrete sine transform | Discrete sine transformation |
DWT | discrete wavelet transform | Discrete wavelet transform |
E.
End | Endomorphism | Category of endomorphisms |
egg | exponentially integral | Integral exponential function |
Prop | Eigenraum | Eigenraum |
erf | error function | Error function |
erfc | error function complementary | Complementary error function |
erfi | error function imaginary | Imaginary error function |
EW | Eigenvalue | Eigenvalue |
EV | Eigenvector | Eigenvector |
exp | exponent | Exponential function |
Exp | exponent | Group exponent |
Ext | extension | Ext functor |
F.
FA | Functional analysis | Functional analysis |
f. a. | almost all | Almost all |
FEM | Finite element method | Finite element method |
FFT | fast Fourier transform | Fast Fourier transform |
Fct. | function | function |
Frob | Frobenius | Frobenius homomorphism |
f. s. | pretty sure | Pretty sure |
FT | Fourier transform | Fourier transform |
FT | Function theory | Function theory |
f. ü. | almost everywhere | Almost everywhere |
FWT | fast wavelet transform | Fast wavelet transform |
G
Gal | Galois | Galois group |
GARCH | generalized auto-regressive conditional heteroscedasticity | GARCH model |
gd | Gudermann | Gudermann function |
iff. | exactly when | Logical equivalence |
GF | Galois field | Galois body |
gcd | greatest common divisor | Greatest common divisor |
GL | generally linear or English general linear | General linear group |
glm. | evenly | Uniform convergence |
Degree | gradient | Gradient of a scalar field |
GT | Graph theory | Graph theory |
H
HM | higher mathematics | higher mathematics |
HNF | Hessian normal form | Hessian normal form |
Hom | Homomorphism | Hom functor |
I.
IA | Induction start | Part of a complete induction |
id | identical | Identical figure |
id | identically distributed | Identically distributed random variables |
iid | independent identically distributed | Independently and identically distributed random variables |
ILP | integer linear program | Integer linear programming |
in the | image | Image of an illustration |
in the | imaginary | Imaginary part of a complex number |
ind | index | Rotation number of a curve |
inf | infimum | Infimum of a lot |
int | interior | A crowd inside |
inv | inversion | Lack of a permutation |
IS | Induction step | Part of a complete induction |
IV | Induction assumption | Part of a complete induction |
J
JNF | Jordan normal form | Jordan normal form |
K
ker | kernel | Core of a figure |
LCM | least common multiple | Least common multiple |
Cor | Correlation coefficient | Correlation coefficient |
kQ | least squares | Least squares method |
L.
LA | Linear Algebra | Linear Algebra |
LCG | linear congruential generator | Linear congruence generator |
ld | logarithm dualis | Binary logarithm |
lg | logarithm | Decadal logarithm |
LGS | linear system of equations | Linear system of equations |
left | logarithm integralis | Integral logarithm |
lim | limes | Limit value of a sequence or function |
lim inf | limes inferior | Limes inferior |
lim sup | limes superior | Limes superior |
lin. | linear | Linearity |
ln | logarithm naturalis | Natural logarithm |
log | logarithm | logarithm |
LP | linear program | Linear programming |
LS | least squares | Least squares method |
M.
Max | maximum | Maximum of a lot |
med | Median | Median |
MG | multigrid | Multi-grid method |
min | minimum | Minimum of a lot |
mod | modulo | Modulo (division with remainder) |
Mor | Morphism | Morphism |
MP | Modus ponens | Modus ponens |
MR | Mathematical Reviews | Mathematical Reviews |
MSC | Mathematics Subject Classification | Mathematics Subject Classification |
MW | Average | Average |
MWS | Mean theorem | Mean theorem |
N
NAND | not and | NAND link |
NBG | Neumann-Bernays-Gödel | Neumann-Bernays-Gödel set theory |
NF | new foundations | Set theory according to Quine |
NLP | non-linear program | Non-linear programming |
NOR | not or | Nor linkage |
NO | Additional calculation | Additional calculation |
NV | Normal distribution | Normal distribution |
n / a | according to requirements | Term within evidence |
NLML | non linear maximum likelihood | Maximum likelihood method |
O
o. B. d. A. | Without loss of generality | Without loss of generality |
ODE | ordinary differential equation | Ordinary differential equation |
oE | without restriction | Without loss of generality |
ONB | Orthonormal basis | Orthonormal basis |
ONS | Orthonormal system | Orthonormal system |
ord | order | Order of a group element |
Ord | Ordinal number | Set of ordinals |
P
PDE | partial differential equation | Partial differential equation |
PDGl, PDG | partial differential equation | Partial differential equation |
PGL | projective general linear | Projective linear group |
pktw. | point by point | Point-by-point convergence |
PN | Polish notation | Polish notation |
Pr | probability | probability |
PSL | projective special linear | Projective special linear group |
PSp, PGSp | projective (general) symplectic | Projective symplectic group |
PSU | projective special unitary | Projective special unitary group |
Q
q. e. d. | quod erat demonstrandum | Which was to be proved |
qef | quod erat faciendum | What to do |
Quot | quotient | Quotient field of a ring |
R.
re | Real part | Real part of a complex number |
Res | residuum | Residual of a complex-valued function |
rect | rectangle | Rectangular function |
rg | rank | Rank of a matrix |
RH | Riemann hypothesis | Riemann Hypothesis |
RNG | random number generator | Random number generator |
red | rotation | Rotation of a vector field |
RWA | Boundary value problem | Boundary value problem |
RWP | Boundary value problem | Boundary value problem |
S.
SDE | stochastic differential equation | Stochastic differential equation |
SDGl | stochastic differential equation | Stochastic differential equation |
sec | secans | Secans |
six | secans hyperbolicus | Hyperbolic secant |
so-called | signum | Sign function |
Si | sinus integralis | Integral sine |
sig | sigmoid | Sigmoid function |
sin | Sine | Sine |
sinc | sinus cardinalis | Sinc function |
sinh | hyperbolic sinus | Hyperbolic sine |
SL | special linear | Special linear group |
sn | sinus amplitudinis | Sinus amplitudinis |
SO | special orthogonal | Special orthogonal group |
SOR | successive over-relaxation | Over relaxation procedure |
Sp, sp | track | Trace of a matrix |
Sp, SP | symplectic | Symplectic group |
span | span | Linear envelope of vectors |
Spec | spectrum | Spectrum of a ring |
stat. | statistical | statistics |
stabbed. | stochastic | Stochastics |
SU | special unitary | Special unitary group |
sup | supremum | Supremum a lot |
supp | support | Bearer of a function |
SVD | singular value decomposition | Singular value decomposition |
SWZ | Singular value decomposition | Singular value decomposition |
Sym | symmetrical | Symmetrical group |
T
tan | tangent | tangent |
dance | tangens cardinalis | Tanc function |
tanh | hyperbolic tangent | Hyperbolic tangent |
goal | torsion | Gate functor |
Tr | carrier | Bearer of a function |
Tr, tr | trace | Trace of a matrix |
U
UPN | reverse Polish notation | Reverse Polish notation |
and N. | under the secondary condition |
udNb. | Maximization under constraints | Lagrange multiplier |
V
Var | Variance | Variance of a random variable |
VR | Vector space | Vector space |
W.
wzbw | which was to be proved | Quod erat demonstrandum |
X
XOR | exclusive or | Contravalence |
Z
ZF | Zermelo Fraenkel | Zermelo-Fraenkel set theory |
ZFC | Zermelo Fraenkel choice | Zermelo-Fraenkel set theory with axiom of choice |
ZV | Random variable | Random variable |
ZWS | Intermediate value theorem | Intermediate value theorem |
z. z. | to show | Term within evidence |
ZZ | Random number | Random number |
literature
- Tilo Arens, Frank Hettlich, Christian Karpfinger, Ulrich Kockelkorn, Klaus Lichtenegger, Hellmuth Stachel : Mathematics . 2nd Edition. Spektrum Akademischer Verlag, 2011, ISBN 3-8274-2347-3 , pp. 1483 ff .
- Wolfgang Hackbusch : Paperback of Mathematics, Volume 1 . 3. Edition. Springer, 2010, ISBN 3-8351-0123-4 , pp. 1275 ff .
Individual evidence
- ^ Christian Kanzow, Alexandra Schwartz: Introduction . In: Game Theory (= Mathematics Compact ). Birkhäuser, Cham, 2018, ISBN 978-3-319-96678-6 , p. 1–17 , doi : 10.1007 / 978-3-319-96679-3_1 ( springer.com [accessed December 26, 2018]).