First of all, I found the excellent resource for doing more math. Please visit the page Authors did the best possible job to represent math in HTML. So, I use their experience to construct more formulas in HTML.
Here's a HTML code for first example (see pic):
<table border="0" cellpadding="0" cellspacing="0">
<tr align="center" style="line-height: 1em">
<td>Ι<sub>k</sub>(t)= </td>
<td><small> <i>t</i></small><br>
⌠<br>⌡<br>
<small><i>0</i> </small></td>
<td><i>λ<sub>k</sub>(s)S(s)</i><small> </small>d<i>s</i></td>
</tr>
</table>
Here's a HTML code for second example (see pic):
<table cellpadding="0" cellsapcing="0" border="0">
<tr align="center">
<td><br />Î<sub>k</sub>(t)= </td>
<td><br />
<big><big>&&8721;</big></big><br>
<small><i>j:t,≤t</i></small></td>
<td valign="top">
<table cellpadding="0" cellspacing="0" border="0">
<tr>
<td><span style="vertical-align:-150%;">^ ^</span></td>
</tr>
<tr>
<td><i>λ<sub>k</sub>(t<sub>j</sub>)S(t<sub>j-1</sub>)</i></td>
</tr>
</table>
</td>
</tr>
</table>
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