@@ -235,6 +235,8 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
235235<br >
236236<br >
237237
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239+
238240<table cellpadding =" 2 " cellspacing =" 0 " style =" page-break-before : always " >
239241 <col width="383">
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@@ -243,7 +245,7 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
243245 <col width="511">
244246 <col width="690">
245247 <tr>
246- <td height="57 " bgcolor="#0066cc" style="border: none; padding: 0in">
248+ <td height="59 " bgcolor="#0066cc" style="border: none; padding: 0in">
247249 <p align="center"><font color="#ffffff"><font face="Arial"><font size="5" style="font-size: 18pt"><b>Task</b></font></font></font></p>
248250 </td>
249251 <td bgcolor="#0066cc" style="border: none; padding: 0in">
@@ -264,9 +266,9 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
264266 </td>
265267 </tr>
266268 <tr>
267- <td colspan="6" height="70" bgcolor="#ffffff" style="border: none; padding: 0in" id="creating" >
269+ <td colspan="6" height="70" bgcolor="#ffffff" style="border: none; padding: 0in">
268270 <p align="center"><font face="Arial"><font size="4" style="font-size: 14pt"><b>CREATING
269- MATRICES </b></font></font><br>[<a href='#cheat_overview'>back to cheat sheet overview</a>] </p>
271+ MATRICES</b></font></font></p>
270272 </td>
271273 </tr>
272274 <tr valign="top">
@@ -313,10 +315,15 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
313315 3</font></font></p>
314316 </td>
315317 <td bgcolor="#cfe7f5" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
316- <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
317- a = np.array([[1],[2],[3]])<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
318- a<br>array([[1],<br> [2],<br>
319- [3]])</font></font></p>
318+ <p align="left"><font color="#ff420e"><font face="Andale Mono"><font size="2" style="font-size: 10pt"><b>P></b></font></font></font>
319+ <font face="Andale Mono"><font size="1" style="font-size: 8pt">a</font></font><font color="#2fff12">
320+ </font><font color="#000000"><font face="Andale Mono"><font size="1" style="font-size: 8pt">=
321+ np.array([1,2,3]).reshape(1,3)</font></font></font></p>
322+ <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><br></font></font><font color="#ff420e"><font face="Andale Mono"><font size="2" style="font-size: 10pt"><b>P></b></font></font></font>
323+ <font color="#000000"><font face="Andale Mono"><font size="1" style="font-size: 8pt">b.shape<br>(1,
324+ 3)</font></font></font></p>
325+ <p align="left"><br>
326+ </p>
320327 </td>
321328 <td bgcolor="#cfe7f5" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
322329 <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#0000ff"><font size="2" style="font-size: 10pt"><b>R></b></font></font>
@@ -345,6 +352,14 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
345352 <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
346353 b = np.array([1,2,3])<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
347354 b<br>array([1, 2, 3])</font></font></p>
355+ <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt">#
356+ note that numpy doesn't have <br># explicit “row-vectors”, but
357+ 1-D <br># arrays</font></font></p>
358+ <p style="margin-bottom: 0in"><font face="Liberation Serif, serif"><font size="3" style="font-size: 12pt"><font color="#ff420e"><font face="Andale Mono"><font size="2" style="font-size: 10pt"><b>P></b></font></font></font><font color="#2fff12">
359+ </font><font color="#000000"><font face="Andale Mono"><font size="1" style="font-size: 8pt">b.shape</font></font></font></font></font></p>
360+ <p style="margin-bottom: 0in"><font face="Andale Mono"><font size="1" style="font-size: 8pt">(3,)</font></font></p>
361+ <p align="left"><br>
362+ </p>
348363 </td>
349364 <td bgcolor="#ffffff" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
350365 <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#0000ff"><font size="2" style="font-size: 10pt"><b>R></b></font></font>
@@ -434,7 +449,7 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
434449 </td>
435450 <td bgcolor="#cfe7f5" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
436451 <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
437- np.ones([ 3,2] )<br>array([[ 1., 1.],<br>
452+ np.ones(( 3,2) )<br>array([[ 1., 1.],<br>
438453 [ 1., 1.],<br> [ 1., 1.]])</font></font></p>
439454 </td>
440455 <td bgcolor="#cfe7f5" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
@@ -519,9 +534,9 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
519534 </td>
520535 </tr>
521536 <tr>
522- <td colspan="6" height="128" bgcolor="#ffffff" style="border: none; padding: 0in" id='accessing' >
537+ <td colspan="6" height="128" bgcolor="#ffffff" style="border: none; padding: 0in">
523538 <p align="center"><font face="Arial"><font size="4" style="font-size: 14pt"><b>ACCESSING
524- MATRIX ELEMENTS</b></font></font><br>[<a href='#cheat_overview'>back to cheat sheet overview</a>]< /p>
539+ MATRIX ELEMENTS</b></font></font></p>
525540 </td>
526541 </tr>
527542 <tr valign="top">
@@ -714,9 +729,9 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
714729 </td>
715730 </tr>
716731 <tr>
717- <td colspan="6" height="128" bgcolor="#ffffff" style="border: none; padding: 0in" id="manipulating" >
732+ <td colspan="6" height="128" bgcolor="#ffffff" style="border: none; padding: 0in">
718733 <p align="center"><font face="Arial"><font size="4" style="font-size: 14pt"><b>MANIPULATING
719- SHAPE AND DIMENSIONS</b></font></font><br>[<a href='#cheat_overview'>back to cheat sheet overview</a>]< /p>
734+ SHAPE AND DIMENSIONS</b></font></font></p>
720735 </td>
721736 </tr>
722737 <tr valign="top">
@@ -772,10 +787,10 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
772787 A = np.array([[1,2,3],[4,5,6],[7,8,9]])<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
773788 A<br>array([[1, 2, 3],<br> [4, 5, 9],<br>
774789 [7, 8, 9]])<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
775- total_elements = A.shape[0] * A.shape[1]<br><br>< font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></ font></font >
776- B = A.reshape(1, total_elements) <br><br># or
777- A.reshape(1,9)<br># Alternative: A.shape = (1,9 ) <br>#
778- to change the array in place <br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
790+ total_elements = np.prod( A.shape)</ font></ font></p >
791+ <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
792+ B = A.reshape (1, total_elements ) <br><br># alternative
793+ shortcut:<br># A.reshape(1,-1) <br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
779794 B<br>array([[1, 2, 3, 4, 5, 6, 7, 8, 9]])</font></font></p>
780795 </td>
781796 <td bgcolor="#ffffff" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
@@ -885,9 +900,9 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
885900 </td>
886901 </tr>
887902 <tr>
888- <td colspan="6" height="114" bgcolor="#ffffff" style="border: none; padding: 0in" id='basic_ops' >
903+ <td colspan="6" height="114" bgcolor="#ffffff" style="border: none; padding: 0in">
889904 <p align="center"><font face="Arial"><font size="4" style="font-size: 14pt"><b>BASIC
890- MATRIX OPERATIONS</b></font></font><br>[<a href='#cheat_overview'>back to cheat sheet overview</a>]< /p>
905+ MATRIX OPERATIONS</b></font></font></p>
891906 </td>
892907 </tr>
893908 <tr valign="top">
@@ -912,6 +927,9 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
912927 A + 2<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
913928 A - 2<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
914929 A / 2</font></font></p>
930+ <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt">#
931+ Note that NumPy was optimized for<br># in-place assignments<br>#
932+ e.g., A += A instead of <br># A = A + A</font></font></p>
915933 </td>
916934 <td bgcolor="#cfe7f5" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
917935 <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#0000ff"><font size="2" style="font-size: 10pt"><b>R></b></font></font>
@@ -1025,6 +1043,9 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
10251043 A + A<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
10261044 A - A<br><br><font color="#ff420e"><font size="2" style="font-size: 10pt"><b>P></b></font></font>
10271045 A / A</font></font></p>
1046+ <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt">#
1047+ Note that NumPy was optimized for<br># in-place assignments<br>#
1048+ e.g., A += A instead of <br># A = A + A</font></font></p>
10281049 </td>
10291050 <td bgcolor="#ffffff" style="border-top: none; border-bottom: none; border-left: 1px dotted #000000; border-right: 1px dotted #000000; padding: 0in 0.02in">
10301051 <p align="left"><font face="Andale Mono"><font size="1" style="font-size: 8pt"><font color="#0000ff"><font size="2" style="font-size: 10pt"><b>R></b></font></font>
@@ -1232,9 +1253,9 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
12321253 </td>
12331254 </tr>
12341255 <tr>
1235- <td colspan="6" height="202" bgcolor="#ffffff" style="border: none; padding: 0in" id='advanced_ops' >
1256+ <td colspan="6" height="202" bgcolor="#ffffff" style="border: none; padding: 0in">
12361257 <p align="center"><font face="Arial"><font size="4" style="font-size: 14pt"><b>ADVANCED
1237- MATRIX OPERATIONS</b></font></font><br>[<a href='#cheat_overview'>back to cheat sheet overview</a>]< /p>
1258+ MATRIX OPERATIONS</b></font></font></p>
12381259 </td>
12391260 </tr>
12401261 <tr valign="top">
@@ -1328,7 +1349,7 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
13281349 </td>
13291350 </tr>
13301351 <tr valign="top">
1331- <td height="539 " bgcolor="#ffffff" style="border-top: none; border-bottom: none; border-left: none; border-right: 1px solid #000000; padding-top: 0in; padding-bottom: 0in; padding-left: 0in; padding-right: 0.02in">
1352+ <td height="541 " bgcolor="#ffffff" style="border-top: none; border-bottom: none; border-left: none; border-right: 1px solid #000000; padding-top: 0in; padding-bottom: 0in; padding-left: 0in; padding-right: 0.02in">
13321353 <p align="left"><font face="Arial"><font size="2" style="font-size: 10pt"><b>Generating
13331354 a Gaussian dataset:<br><br>creating random vectors from the
13341355 multivariate normal<br>distribution given mean and covariance
@@ -1395,6 +1416,8 @@ Bezanson, J., Karpinski, S., Shah, V.B. and Edelman, A. (2012), “Julia: A fast
13951416 </td>
13961417 </tr>
13971418</table >
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