Download The mathastext package

2 What mathastext does
2.1 Examples
mathastext’s basic aim is to have the same font for text and mathematics. With
hundreds of free text fonts packaged for LATEX and only a handful of math ones,
chances are your favorite text font does not mix so well with the available math
ones; mathastext may then help.
Here is an example with Latin Modern typewriter proportional:
Let (X, Y) be two functions of a variable a. If they obey the
differential system (VIν,n ):
d
2na aX + Y
X = νX – (1 – X2 )
da
1 – a2 1 + aXY
d
2na X + aY
a Y = –(ν + 1)Y + (1 – Y2 )
da
1 – a2 1 + aXY
a
2
then the quantity q = a aX+Y
X+aY satisfies as function of b = a the
PVI differential equation:
1
d2 q
=
2
db
2
{
} ( )2 {
}
1
1
1
dq
1
1
dq
1
+
+
+
+
–
q
q–1 q–b
db
b b – 1 q – b db
{
}
q(q – 1)(q – b)
βb γ(b – 1) δb(b – 1)
+
α+ 2 +
+
b2 (b – 1)2
q
(q – 1)2
(q – b)2
2
2
2
2
–(ν+n+1) n 1–n
, 2 , 2 ).
with parameters (α, β, γ, δ) = ( (ν+n)
2 ,
2
Notice that the Latin (and Greek letters) are in upright shape. But perhaps we
insist on obeying the standardized habits:
Let (X, Y) be two functions of a variable a. If they obey the differential
system (VIν,n ):
2na aX + Y
d
X = νX – (1 – X 2 )
da
1 – a2 1 + aXY
d
2na X + aY
a Y = –(ν + 1)Y + (1 – Y 2 )
da
1 – a2 1 + aXY
a
2
then the quantity q = a aX+Y
X+aY satisfies as function of b = a the PVI differential equation:
d2 q 1
=
db2 2
{
} ( )2 {
}
1
1
1
dq
1
1
1
dq
+
+
–
+
+
q q–1 q–b
db
b b – 1 q – b db
{
}
q(q – 1)(q – b)
βb γ(b – 1) δb(b – 1)
+
α
+
+
+
b2 (b – 1)2
q2 (q – 1)2
(q – b)2
2
2
2
2
–(ν+n+1) n 1–n
with parameters (α, β, γ, δ) = ( (ν+n)
, 2 , 2 ).
2 ,
2
3