Suganitam

Suganitam (11)

A Mathematics Magazine.... Have a Look!.

Sunday, 09 June 2013 17:07

Mathematical Abbreviations

Written by

AC

Axiom of Choice.

adj

adjugate of a matrix.

Ai

Airy function.

Alt

alternating group (Alt(n) is also written as An.)

arccos

inverse cosine function.

arccosec

inverse cosecant function. (Also written as arccsc.)

arccot

inverse cotangent function.

arccsc

inverse cosecant function. (Also written as arccosec.)

arcosech

inverse hyperbolic cosecant function. (Also written as arcsch.)

arcosh

inverse hyperbolic cosine function.

arcoth

inverse hyperbolic cotangent function.

arcsch

inverse hyperbolic cosecant function. (Also written as arcosech.)

arcsec

inverse secant function.

arcsin

inverse sine function.

arctan

inverse tangent function.

arg

argument of a complex number.

arg max

argument of the maximum.

arg min

argument of the minimum.

arsech

inverse hyperbolic secant function.

arsinh

inverse hyperbolic sine function.

artanh

inverse hyperbolic tangent function.

Aut

automorphism group.

Bi

Airy function of the second kind.

Card

cardinality of a set.(Card(X) is also written #X, #X or |X|.)

cdf

cumulative density function.

char

characteristic of a ring.

Cl

topological closure.

cos

cosine function.

cosec

cosecant function. (Also written as csc.)

cosech

hyperbolic cosecant function. (Also written as csch.)

cosh

hyperbolic cosine function.

cot

cotangent function.

coth

hyperbolic cotangent function.

cov

covariance of a pair of random variables.

csc

cosecant function. (Also written as cosec.)

csch

hyperbolic cosecant function. (Also written as cosech.)

curl

curl of a vector field. (Also written as rot.)

deg

degree of a polynomial. (Also written as ∂.)

del

del, a differential operator. (Also written as ∇.)

det

determinant of a matrix or linear transformation.

dim

dimension of a vector space.

div

divergence of a vector field.

dom

domain of a function.(Or, more generally, a relation.)

End

categories of endomorphisms.

Ei

exponential integral function.

erf

error function.

erfc

complementary error function.

exp

exponential function. (exp x is also written as ex.)

Ext

Ext functor.

ext

exterior.

FOL

first-order logic.

Frob

Frobenius endomorphism.

Gal

Galois group. (Also written as Γ.)

gcd

greatest common divisor of two numbers. (Also written as hcf.)

GL

general linear group.

grad

gradient of a scalar field.

hcf

highest common factor of two numbers. (Also written as gcd.)

Hom

Hom functor.

iff

if and only if.

Im

image of a function or imaginary part of a complex number

inf

infimum of a set.

int

interior.

Ker

kernel.

lcm

lowest common multiple of two numbers.

lg

common logarithm (log10) or binary logarithm (log2).

LHS

left-hand side of an equation.

Li

offset logarithmic integral function.

li

logarithmic integral function or linearly independent.

lim

limit of a sequence, or of a function.

ln

natural logarithm, loge.

log

logarithm. (If without a subscript, this may mean either log10 or loge.)

LST

language of set theory.

Lub

least upper bound.(Also written sup.)

max

maximum of a set.

Min

minimum of a set.

mod

modulo.

Mx

matrix.

NTS

need to show.

Ord

ordinal number of a well-ordered set.

Pdf

probability density function.

Pf

proof.

PGL

projective general linear group.

Pmf

probability mass function.

Pr

probability of an event.

PSL

projective special linear group.

Ran

range of a function.

Re

real part of a complex number.

resp

respectively.

RHS

right-hand side of an equation.

Rk

rank.

Rng

non-unital ring.

Rot

rotor of a vector field.

RTP

required to prove.

sec

secant function.

sech

hyperbolic secant function.

seg

initial segment of.

sgn

signum function.

sin

sine function.

sinh

hyperbolic sine function.

SL

special linear group.

Sp

linear span of a set of vectors. (Also written with angle brackets.)

Spec

spectrum of a ring.

st

such that or so that.

STP

[it is] sufficient to prove.

sup

supremum of a set.(Also written lub.)

supp

support of a function.

Sym

symmetric group (Sym(n) is also written as Sn.)

tan

tangent function.

tanh

hyperbolic tangent function.

TFAE

the following are equivalent.

Thm

theorem.

Tor

Tor functor.

Tr

trace, either the field trace, or the trace of a matrix or linear transformation.

var

variance of a random variable.

walog

without any loss of generality.

wff

well-formed formula.

wlog

without loss of generality.

WO

well-ordered set.

wrt

with respect to or with regard to.

WTP

want to prove.

WTS

want to show.

ZF

Zermelo–Fraenkel axioms of set theory.

ZFC

Zermelo–Fraenkel axioms (with the Axiom of Choice) of set theory

Sunday, 09 June 2013 16:55

Greek Letter and Meaning

Written by

Common Greek Letters

Back

 

α

Alpha

Fine structure constant; an angle.

ß

Beta

v/c; 1/κBΤ ; an angle.

γ

Gamma

E/mc2; an angle.

τ

Tau

torque; a rate of force.

Τ

Tau

Periodic time.

Δ

Delta

'change in . . . ', as in Δx.

δ

Delta

An infinitesimal; like Δ but smaller.

σ

Delta

Cross section; areal density; conductivity.

 

Epsilon

An infinitesimal quantity; permittivity.

e

e

A small energy, electron.

ζ

Zeta

A general parameter.

η

Eta

Index of refraction; a meson.

Θ

Null

An angle; Debye temperature.

θ

Theta

An angle (most common symbol).

κ

Kappa

Dielectric constant; thermal conductivity.

Λ

Lambda

A rate; a type of baryon.

λ

Lambda

Wavelength; a rate; linear density.

μ

Meu

Reduced mass; muon; prefix micro.

ν

Nu

Frequency in cycle/s (Hz); neutrino.

v

Nu

Rarely used (looks like v).

Ξ

Xi

A type of baryon.

ξ

Xi

A general parameter; coherence length.

Π

Pi

Product operator.

π

Pi

3.14159... ; pion (a meson).

ρ

Rho

Density per unit volume; resistivity.

Σ

Sigma

Summation operator.

Φ

Phi

A wave function; an angle.

 

Phi

An angle; a wave function.

φ

Phi

Electrostatic potential.

χ

Chi

Susceptibility.

ψ

Psi

A wave function.

 

Mho

Used as inductance.

Ω

Ohm

Solid angle; angular frequency; a baryon.

ω

Omega

Angular frequency (radian/s); a meson.
Cube root of unity.

 

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