# A simple bug..

```
I seem to have come across this  simple and reproducible bug :

The error is in the last line of this post (the others are simply
reproducing my previous steps) where "h" is not being replaced.....

Mathematica 3.0 for NEXTSTEP Intel
-- Motif graphics initialized --

In[1]:= phi={
1 - 3 (x/h)^2 + 2 (x/h)^3,
-x(1-x/h)^2,
3(x/h)^2 - 2 (x/h)^3,
-x( (x/h)^2 - (x/h))}

2      3                    2      3               2
3 x    2 x            x 2   3 x    2 x          x    x
Out[1]= {1 - ---- + ----, -(x (1 - -) ), ---- - ----, -(x (-(-) + --))}
2      3            h       2      3          h     2
h      h                    h      h                h

In[2]:= k1[i_,j_]:=
Integrate[
( e in
D[phi[[i]],{x,2}]
D[phi[[j]],{x,2}]
), {x,0,h}]                         Syntax::newl: The
newline character after "             ( e in  "
is understood as a multiplication operator.

In[3]:= k1matrix=Table[k1[i,j], {i,4},{j,4}]

12 e in  -6 e in  -12 e in  -6 e in
Out[3]= {{-------, -------, --------, -------},
3        2         3        2
h        h         h        h

-6 e in  4 e in  6 e in  2 e in    -12 e in  6 e in  12 e in  6 e in
>    {-------, ------, ------, ------}, {--------, ------, -------,
------},
2       h        2      h           3        2       3        2
h                h                  h        h       h        h

-6 e in  2 e in  6 e in  4 e in
>    {-------, ------, ------, ------}}
2       h        2      h
h                h

In[4]:= k1matrix=Table[k1[i,j], {i,4},{j,4}] /. h->6

e in  -(e in)  -(e in)  -(e in)    -(e in)  2 e in  e in  e in
Out[4]= {{----, -------, -------, -------}, {-------, ------, ----, ----},
18      6       18        6          6       3      6     3

-(e in)  e in  e in  e in    -(e in)  e in  e in  2 e in
>    {-------, ----, ----, ----}, {-------, ----, ----, ------}}
18      6     18    6         6      3     6      3

In[5]:= k1matrix=Table[k1[i,j], {i,4},{j,4}] /. e*in -> 10^6

12000000  -6000000  -12000000  -6000000
Out[5]= {{--------, --------, ---------, --------},
3         2         3          2
h         h         h          h

-6000000  4000000  6000000  2000000
>    {--------, -------, -------, -------},
2        h        2        h
h                 h

-12000000  6000000  12000000  6000000
>    {---------, -------, --------, -------},
3         2         3        2
h         h         h        h

-6000000  2000000  6000000  4000000
>    {--------, -------, -------, -------}}
2        h        2        h
h                 h

In[6]:= k1matrix=Table[k1[i,j], {i,4},{j,4}] /. {h->6, e*in ->10^6}

12000000  -6000000  -12000000  -6000000
Out[6]= {{--------, --------, ---------, --------},
3         2         3          2
h         h         h          h

-6000000  4000000  6000000  2000000
>    {--------, -------, -------, -------},
2        h        2        h
h                 h

-12000000  6000000  12000000  6000000
>    {---------, -------, --------, -------},
3         2         3        2
h         h         h        h

-6000000  2000000  6000000  4000000
>    {--------, -------, -------, -------}}
2        h        2        h
h                 h

In[7]:=

--
Jagannatha Rao				E-mail:rao@uh.edu
Associate Professor
Department of Mechanical Engineering    Tel   :(713) 743-4535 University
of Houston                   Fax   :(713) 743-4503 Houston, TX
77204-4792

```

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