
Lagrange: 
MacTutor History of Math 

Lagrange: 
TaylorLagrange theorem 

Law: 
Law of a measurable map
(random variable) 

Law: 
Characterictic function uniquely determines law 

Lebesgue: 
MacTutor History of Math 

Lebesgue:(measure) 
Lebesgue measure on R 

Lebesgue:(measure) 
Lebesgue measure on Rn 

Lebesgue:(measure) 
Lebesgue measure on borel
subset of Rn 

Lebesgue:(measure) 
Image of Lebesgue measure by
linear bijection on Rn 

Lebesgue:(measure) 
Image of Lebesgue measure by
C1diffeomorphism 

Lebesgue:(measure) 
Lebesgue measure of strict
linear subspace in Rn 

Lebesgue:(integral) 
Lebesgue integral of
nonnegative measurable map 

Lebesgue:(integral) 
Partial Lebesgue integral of a
nonnegative map 

Lebesgue:(integral) 
Lebesgue integral of a map in L1 

Lebesgue:(integral) 
Partial Lebesgue integral of a
map in L1 

Lebesgue:(integral) 
Lebesgue integral w.r. to
complex measure 

Lebesgue:(integral) 
Partial Lebesgue integral w.r.
to complex measure 

Lebesgue:(integral) 
Stack Lebesgue integral of a
nonnegative map 

Lebesgue:(integral) 
Stack Lebesgue
integral of map in L1 

Lebesgue:(integral) 
Stack Lebesgue integral of map
in L1 (complex meas.) 

Lebesgue:(integral) 
Linearity of Lebesgue integral 

Lebesgue:(point) 
Lebesgue point of elements of
L1(Rn) 

Lebesgue:(point) 
Lebesgue points almost
everywhere 

Leftcontinuous: 
Right and leftcontinuity of
total variation map. 

Leftlimit: 
Cadlag map and its leftlimits,
bounded on compacts 

Leftlimit: 
Cadlag: rightcontinuous with leftlimits,
RCLL 

Lemma: 
Fatou lemma 

Limit: 
Extraction of almost sure limit
in Lp 

Limit: 
Lower limit, upper limit, liminf, limsup 

Limit: 
Measurability of simple (pointwise)
limit 

Limit: 
Jacobian expressed as a limit 

Limit: 
Weak limit of complex measures 

Limit: 
Narrow limit of complex
measures 

Limit: 
Uniqueness of weak limit of
complex measures 

Limit: 
Uniqueness of narrow limit of
complex measures 

Linear:(functional) 
Linear functional 

Linear:(functional) 
Bounded linear functional 

Linear:(functional) 
Bounded linear functional as
innerproduct 

Linear:(functional) 
Bounded linear functional in L2 

Linear: 
Continuous linear maps between
normed spaces 

Linear:(bijection) 
Image of lebesgue measure by linear
bijection on Rn 

Linear:(subspace) 
Lebesgue measure of strict linear
subspace in Rn 

Linear: 
Linear transformation of
gaussian vector is gaussian 

Linearity: 
Linearity of lebesgue integral 

Locally:(f. measure) 
Locally finite measure 

Locally:(f. measure) 
Locally finite measure
on scompact metric is regular 

Locally:(f. measure) 
Locally finite measure
on open subset of Rn is regular 

Locally:(f. measure) 
Locally finite measure,
invariant by translation on Rn 

Locally:(compact) 
Locally compact topological
space 

Locally:(compact) 
Strongly sigmacompact is locally
and sigmacompact 

Locally:(integrable) 
Stieltjes L1 spaces on R+
of locally integrable maps. 

Lower: 
Lower limit, liminf 

Lower: 
Lowersemicontinuous (l.s.c) 

l.s.c: 
Lowersemicontinuous (l.s.c) 

l.s.c: 
Approximation by l.s.c and u.s.c functions 

L1: 
Functional L1spaces 

L1: 
Stieltjes L1 spaces on R+ 

L1: 
Lebesgue integral of a map in L1 

L1: 
Partial lebesgue integral of a map in L1 

L1: 
Fubini theorem in L1 

L2: 
Bounded linear functional in L2 

Lp: 
Functional Lpspaces ,
p in [1,+oo[ 

Lp: 
Usual [Norm] topology in Lp 

Lp: 
Convergence in Lp 

Lp: 
Absolute convergence in Lp 

Lp: 
Cauchy sequence in Lp 

Lp: 
Extraction of almost sure limit in Lp 

Lp: 
Lp is complete 

Lp: 
Complex simple functions are dense in Lp 

Lp: 
Continuous, bounded maps dense in Lp 

Lp: 
Continuous with compact support maps dense in Lp 

Loo: 
Functional Loospaces 