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Singularity Functions - University of Delaware · Singularity Functions a x ... Microsoft PowerPoint - singularity-fun.ppt Author: wilkins Created Date: 2/17/2004 9:36:33 PM

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Page 1: Singularity Functions - University of Delaware · Singularity Functions a x ... Microsoft PowerPoint - singularity-fun.ppt Author: wilkins Created Date: 2/17/2004 9:36:33 PM

Sing

ularity

Fun

ction

sa

x≤

ax>

∫dx

Uni

t par

abol

ic2 >

−<

ax

02 )

(a

x−

Uni

t ram

p1 >

−<

ax

01 )

(a

x−

3

3 >−

<a

x

2

2 >−

<a

x

Uni

t ste

p0 >

−<

ax

01

Con

cent

rate

d fo

rce

1− >−

<a

x0

1 >−

<a

x

0 >−

<a

x

Con

cent

rate

d m

omen

t2

− >−

<a

x0

spik

e

inde

term

inat

e1− >

−<

ax

Eval

uate

d as

: