1 Long Equations - St. Olaf College

[Pages:3]1 Long Equations

Here is a long equation without line number.

(f(t)) d?(t) = - f4(t) d?(t)

G

G

+ (b2 + 2a2) f2(t) d?(t) + 2ab2 f(t) d?(t) + a2b2 - a4.

G

G

Here is the same long equation with a single equation number. The "notag" is used to suppress numbering the first line.

(f(t)) d?(t) = - f4(t) d?(t)

G

G

+ (b2 + 2a2) f2(t) d?(t) + 2ab2 f(t) d?(t) + a2b2 - a4. (1)

G

G

Here is the same long equation with a single equation number, but centered. Here the combination of "equation" and "split" environments is used. We prefer this version for numbered long equations.

(f(t)) d?(t) = - f4(t) d?(t)

G

G

(2)

+ (b2 + 2a2) f2(t) d?(t) + 2ab2 f(t) d?(t) + a2b2 - a4.

G

G

2 Multiline Equations

Example 1.

Here is a string of equations typeset with gather.

1 an = 2

f (x)e-inx dx =

1

-

2

f0(x)e-inx dx

-

1 = lim

n 2

-

fn (x)e-inx

dx

=

lim

n

1 2

gn (t)

-

e-inx - |x - t|1- dx dt

1 =

2

U?(x)e-inx dx.

-

Here is the same set of equations typeset with align.

1 an = 2

f (x)e-inx dx =

1

-

2

f0(x)e-inx dx

-

1 = lim

n 2

-

fn (x)e-inx

dx

=

lim

n

1 2

gn (t)

-

1 =

2

U?(x)e-inx dx.

-

e-inx - |x - t|1- dx dt

1

Each of these two versions has advantages over the other. The first looks better on the page while the second highlights the fact that a formula for an is underway.

The second formulation introduces an "overfill" on the second line, however, so must be altered to fit on the page properly. Here is a reformulation.

1 an = 2

f (x)e-inx dx =

1

-

2

f0(x)e-inx dx

-

1 = lim

n 2

fn (x)e-inx dx

-

1

= lim n 2

gn (t)

-

e-inx - |x - t|1- dx dt

1 =

2

U?(x)e-inx dx.

-

We prefer this third version.

Example 2.

Here is a common alignment first without line number, then with.

P (GN )

P

? 2

qj N 4T

? 2

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download