| | 23324 | ralfherzog-20071013-en13/mfc/en13-001 THE COMPUTER WILL GET LOST IN ETERNITY |
|---|
| | 23325 | ralfherzog-20071013-en13/mfc/en13-002 HOW DOES THE CURVE ACTUALLY LOOK |
|---|
| | 23326 | ralfherzog-20071013-en13/mfc/en13-003 THIS IS GOING TO BE VERY COMPLICATED |
|---|
| | 23327 | ralfherzog-20071013-en13/mfc/en13-004 SHE WILL TELL YOU WHAT THE SOLUTION IS |
|---|
| | 23328 | ralfherzog-20071013-en13/mfc/en13-005 THIS IS ILLUSTRATED BY THE FOLLOWING EQUATION |
|---|
| | 23329 | ralfherzog-20071013-en13/mfc/en13-006 THIS WILL JUST DESTROY THEIR FAITH IN THESE THINGS |
|---|
| | 23330 | ralfherzog-20071013-en13/mfc/en13-007 THEY HAVE TO CALCULATE THOSE SLOPES |
|---|
| | 23331 | ralfherzog-20071013-en13/mfc/en13-008 THEY HAVE TO DRAW ALL THOSE CURVES |
|---|
| | 23332 | ralfherzog-20071013-en13/mfc/en13-009 IT REALLY DOESN'T MATTER WHAT YOU ARE USING |
|---|
| | 23333 | ralfherzog-20071013-en13/mfc/en13-010 HOW MANY TIMES DOES THE FUNCTION HAVE TO BE EVALUATED |
|---|
| | 23334 | ralfherzog-20071013-en13/mfc/en13-011 WHY SHOULD THEY USE ANYTHING ELSE |
|---|
| | 23335 | ralfherzog-20071013-en13/mfc/en13-012 THEY ARE GOING TO DECREASE THE ERROR |
|---|
| | 23336 | ralfherzog-20071013-en13/mfc/en13-013 THE ERROR VARIES WITH THE STEP SIZE |
|---|
| | 23337 | ralfherzog-20071013-en13/mfc/en13-014 THIS IS THE SECOND ORDER METHOD |
|---|
| | 23338 | ralfherzog-20071013-en13/mfc/en13-015 THEY MAKE A TEMPORARY CHOICE OF THIS |
|---|
| | 23339 | ralfherzog-20071013-en13/mfc/en13-016 THE COMPUTER KNOWS WHAT THAT IS |
|---|
| | 23340 | ralfherzog-20071013-en13/mfc/en13-017 DOES HE HAVE TO SAY ANYTHING ELSE |
|---|
| | 23341 | ralfherzog-20071013-en13/mfc/en13-018 HE HAS TO GET THE RIGHT VALUE |
|---|
| | 23342 | ralfherzog-20071013-en13/mfc/en13-019 THIS IS A TEMPORARY VALUE |
|---|
| | 23343 | ralfherzog-20071013-en13/mfc/en13-020 YOU CAN USE THIS INSTEAD |
|---|
| | 23344 | ralfherzog-20071013-en13/mfc/en13-021 THIS IS A SIMPLE IMPROVEMENT |
|---|
| | 23345 | ralfherzog-20071013-en13/mfc/en13-022 HE HAS TO DRAW THIS PARALLEL LINE |
|---|
| | 23346 | ralfherzog-20071013-en13/mfc/en13-023 HE IS INTERESTED IN SOLVING THOSE EQUATIONS |
|---|
| | 23347 | ralfherzog-20071013-en13/mfc/en13-024 THIS IS WHAT THEY SHOULD TRY |
|---|
| | 23348 | ralfherzog-20071013-en13/mfc/en13-025 HE IS TRYING TO IMPROVE THAT SLOPE |
|---|
| | 23349 | ralfherzog-20071013-en13/mfc/en13-026 THEY HAVE TO FIND A BETTER VALUE |
|---|
| | 23350 | ralfherzog-20071013-en13/mfc/en13-027 THIS IS A SIMPLE IMPROVEMENT |
|---|
| | 23351 | ralfherzog-20071013-en13/mfc/en13-028 THEY JUST HAVE THE NEXT STEP |
|---|
| | 23352 | ralfherzog-20071013-en13/mfc/en13-029 HE DOESN'T HAVE ANY IDEA WHAT THE SOLUTION IS |
|---|
| | 23353 | ralfherzog-20071013-en13/mfc/en13-030 HE IS TRYING TO SWITCH FROM ONE VARIABLE TO THE OTHER |
|---|
| | 23354 | ralfherzog-20071013-en13/mfc/en13-031 HE CAN THINK OF IT AS A GENERAL LINEAR EQUATION |
|---|
| | 23355 | ralfherzog-20071013-en13/mfc/en13-032 HE DOESN'T KNOW ABOUT THAT LET'S FORGET ABOUT THAT |
|---|
| | 23356 | ralfherzog-20071013-en13/mfc/en13-033 HOW COULD THE CONDUCTIVITY CHANGE OVER TIME |
|---|
| | 23357 | ralfherzog-20071013-en13/mfc/en13-034 HE IS TRYING TO SOLVE THESE EQUATIONS |
|---|
| | 23358 | ralfherzog-20071013-en13/mfc/en13-035 IT IS THE DIFFERENTIAL EQUATION |
|---|
| | 23359 | ralfherzog-20071013-en13/mfc/en13-036 THIS IS FOR THE SAME REASON |
|---|
| | 23360 | ralfherzog-20071013-en13/mfc/en13-037 IT IS CALLED THE DIFFUSION EQUATION |
|---|
| | 23361 | ralfherzog-20071013-en13/mfc/en13-038 THIS IS THE EXTERNAL CONCENTRATION |
|---|
| | 23362 | ralfherzog-20071013-en13/mfc/en13-039 SHE CAN TRAVEL IN VARIOUS WAYS |
|---|
| | 23363 | ralfherzog-20071013-en13/mfc/en13-040 THERE ARE LESS IMPORTANT MODELS |
|---|
| | 23364 | ralfherzog-20071013-en13/mfc/en13-041 IT OCCURS IN A VARIETY OF MODELS |
|---|
| | 23365 | ralfherzog-20071013-en13/mfc/en13-042 WHAT IS SO IMPORTANT ABOUT THIS EQUATION |
|---|
| | 23366 | ralfherzog-20071013-en13/mfc/en13-043 IT SHOULDN'T BE WRITTEN THIS WAY |
|---|
| | 23367 | ralfherzog-20071013-en13/mfc/en13-044 THIS IS A FORM WHICH HE WILL NEVER USE |
|---|
| | 23368 | ralfherzog-20071013-en13/mfc/en13-045 HOW ABOUT THE LEFT-HAND SIDE |
|---|
| | 23369 | ralfherzog-20071013-en13/mfc/en13-046 THIS IS A STANDARD FORM |
|---|
| | 23370 | ralfherzog-20071013-en13/mfc/en13-047 THAT IS THE EQUATION THEY ARE TALKING ABOUT |
|---|
| | 23371 | ralfherzog-20071013-en13/mfc/en13-048 THIS IS EXTREMELY LIMITED |
|---|
| | 23372 | ralfherzog-20071013-en13/mfc/en13-049 HE WILL FIND SOME OTHER FUNCTION |
|---|
| | 23373 | ralfherzog-20071013-en13/mfc/en13-050 HE WILL GIVE YOU EXAMPLES |
|---|
| | 23374 | ralfherzog-20071013-en13/mfc/en13-051 THEY ARE SOLVING DIFFERENTIAL EQUATIONS |
|---|
| | 23375 | ralfherzog-20071013-en13/mfc/en13-052 HE DISCOVERED THE POWER SERIES EXPANSIONS |
|---|
| | 23376 | ralfherzog-20071013-en13/mfc/en13-053 HE IS WELL KNOWN FOR HIS FREQUENT USE OF POWER SERIES |
|---|
| | 23377 | ralfherzog-20071013-en13/mfc/en13-054 THEY WERE RESPONSIBLE FOR MUCH OF THE PROGRESS IN THE FIELD |
|---|
| | 23378 | ralfherzog-20071013-en13/mfc/en13-055 THE FUNCTION IS APPLIED TO THE ARGUMENT |
|---|
| | 23379 | ralfherzog-20071013-en13/mfc/en13-056 SHE TRIED TO INTRODUCE THE CONCEPT OF A FUNCTION |
|---|
| | 23380 | ralfherzog-20071013-en13/mfc/en13-057 HE INTRODUCED SEVERAL NOTATIONAL CONVENTIONS |
|---|
| | 23381 | ralfherzog-20071013-en13/mfc/en13-058 THE NAME IS ASSOCIATED WITH AN IMPRESSIVE NUMBER OF TOPICS |
|---|
| | 23382 | ralfherzog-20071013-en13/mfc/en13-059 MANY OF HIS WORKS ARE OF FUNDAMENTAL INTEREST |
|---|
| | 23383 | ralfherzog-20071013-en13/mfc/en13-060 HIS IMPORTANCE IN THE HISTORY CANNOT BE OVERSTATED |
|---|
| | 23384 | ralfherzog-20071013-en13/mfc/en13-061 HE WORKED IN ALMOST ALL AREAS OF MATHEMATICS |
|---|
| | 23385 | ralfherzog-20071013-en13/mfc/en13-062 HE INTRODUCED MUCH OF THE MATHEMATICAL TERMINOLOGY AND NOTATION |
|---|
| | 23386 | ralfherzog-20071013-en13/mfc/en13-063 HE MADE IMPORTANT DISCOVERIES IN SEVERAL FIELDS |
|---|
| | 23387 | ralfherzog-20071013-en13/mfc/en13-064 THIS IS THE FINAL EXAM |
|---|
| | 23388 | ralfherzog-20071013-en13/mfc/en13-065 THE RELATIVITY THEORY IS TOO ABSTRACT |
|---|
| | 23389 | ralfherzog-20071013-en13/mfc/en13-066 THERE MAY BE MULTIPLE CHOICE QUESTIONS |
|---|
| | 23390 | ralfherzog-20071013-en13/mfc/en13-067 THEY HAVE BEEN CHARGED TO THE SAME POLARITY |
|---|
| | 23391 | ralfherzog-20071013-en13/mfc/en13-068 SO LET ME SHOW YOU HOW THE TRANSITION IS MADE |
|---|
| | 23392 | ralfherzog-20071013-en13/mfc/en13-069 I AM GOING TO LOOK AT THIS PART |
|---|
| | 23393 | ralfherzog-20071013-en13/mfc/en13-070 THEY HAVE TO WRITE THE MATRIX FORM |
|---|
| | 23394 | ralfherzog-20071013-en13/mfc/en13-071 THEY ARE SHARING THESE RESOURCES AS A SERVICE |
|---|
| | 23395 | ralfherzog-20071013-en13/mfc/en13-072 SUPPLEMENTARY RESOURCES ARE AVAILABLE |
|---|
| | 23396 | ralfherzog-20071013-en13/mfc/en13-073 THIS IS THE SQUARE ROOT OF MINUS ONE |
|---|
| | 23397 | ralfherzog-20071013-en13/mfc/en13-074 HE WILL COME BACK TO THIS NEXT WEEK |
|---|
| | 23398 | ralfherzog-20071013-en13/mfc/en13-075 HE IS MAKING THIS A DUMMY VARIABLE |
|---|
| | 23399 | ralfherzog-20071013-en13/mfc/en13-076 THIS IS DONE IN THE VERY FIRST SECTION |
|---|
| | 23400 | ralfherzog-20071013-en13/mfc/en13-077 HE CAN PUT IT ON THE OUTSIDE |
|---|
| | 23401 | ralfherzog-20071013-en13/mfc/en13-078 SHE WILL WRITE IT IN THE COMPACT FORM |
|---|
| | 23402 | ralfherzog-20071013-en13/mfc/en13-079 IT HAS TO BE COMPATIBLE ON BOTH SIDES |
|---|
| | 23403 | ralfherzog-20071013-en13/mfc/en13-080 THEY HAVE TO PUT IT INTO THE POSITION |
|---|
| | 23404 | ralfherzog-20071013-en13/mfc/en13-081 THEY HAVE TO LOOK AT THE TEMPERATURE MODEL |
|---|
| | 23405 | ralfherzog-20071013-en13/mfc/en13-082 THIS IS THE MOST IMPORTANT CASE |
|---|
| | 23406 | ralfherzog-20071013-en13/mfc/en13-083 WHY DON'T THEY CONCENTRATE ON THE MOST INTERESTING CASE |
|---|
| | 23407 | ralfherzog-20071013-en13/mfc/en13-084 THEY CAN DO THIS IN GENERAL |
|---|
| | 23408 | ralfherzog-20071013-en13/mfc/en13-085 WE CAN COMPLETE THE SOLUTION |
|---|
| | 23409 | ralfherzog-20071013-en13/mfc/en13-086 HE WANTS TO MAKE IT A BIT MORE OF A PROBLEM |
|---|
| | 23410 | ralfherzog-20071013-en13/mfc/en13-087 THEY FOUND THE INTEGRATING FACTOR |
|---|
| | 23411 | ralfherzog-20071013-en13/mfc/en13-088 MULTIPLY BOTH SIDES BY THE INTEGRATING FACTOR |
|---|
| | 23412 | ralfherzog-20071013-en13/mfc/en13-089 THEY ARE DOING JUST ONE RESEARCH |
|---|
| | 23413 | ralfherzog-20071013-en13/mfc/en13-090 THIS IS THE FORMULA FOR THE INTEGRATING FACTOR |
|---|
| | 23414 | ralfherzog-20071013-en13/mfc/en13-091 HE THINKS IT WILL BE BETTER TO SUMMARIZE THAT |
|---|
| | 23415 | ralfherzog-20071013-en13/mfc/en13-092 WE CAN SOLVE THAT BUT PLEASE DON'T FORGET THAT |
|---|
| | 23416 | ralfherzog-20071013-en13/mfc/en13-093 THIS IS SOMETHING THEY WANT TO DO |
|---|
| | 23417 | ralfherzog-20071013-en13/mfc/en13-094 DO YOU SEE HOW REASONABLE THAT IS |
|---|
| | 23418 | ralfherzog-20071013-en13/mfc/en13-095 HE IS GOING TO SOLVE THIS EQUATION |
|---|
| | 23419 | ralfherzog-20071013-en13/mfc/en13-096 HE THINKS IT IS THE BEST |
|---|
| | 23420 | ralfherzog-20071013-en13/mfc/en13-097 SHE WORKS VERY ACCURATELY |
|---|
| | 23421 | ralfherzog-20071013-en13/mfc/en13-098 SHE IS PERFORMING AND ACTING WITH CARE |
|---|
| | 23422 | ralfherzog-20071013-en13/mfc/en13-099 HE IS CAPABLE OF PROVIDING A CORRECT READING |
|---|
| | 23423 | ralfherzog-20071013-en13/mfc/en13-100 THEY ARE TRYING TO FIND A SUBSET OF THE ORIGINAL VARIABLES |
|---|
| | 23424 | ralfherzog-20071013-en13/mfc/en13-101 A PHYSICAL SYSTEM EXISTS IN THREE DIMENSIONS |
|---|
| | 23425 | ralfherzog-20071013-en13/mfc/en13-102 IT CAN BE DIVIDED INTO FEATURE EXTRACTION AND FEATURE SELECTION |
|---|
| | 23426 | ralfherzog-20071013-en13/mfc/en13-103 IT IS THE PROCESS OF REDUCING THE NUMBER OF RANDOM VARIABLES |
|---|
| | 23427 | ralfherzog-20071013-en13/mfc/en13-104 IT WILL EXTRACT THE RELEVANT INFORMATION FROM THE INPUT DATA |
|---|
| | 23428 | ralfherzog-20071013-en13/mfc/en13-105 THIS IS A POSITIVE CHARGE |
|---|
| | 23429 | ralfherzog-20071013-en13/mfc/en13-106 THESE BOUNDARIES ARE GROUNDED |
|---|
| | 23430 | ralfherzog-20071013-en13/mfc/en13-107 WE CAN MEASURE THE CHARGE ON THE GROUND PLANE |
|---|
| | 23431 | ralfherzog-20071013-en13/mfc/en13-108 IT HAS THE SAME POTENTIAL AS THE SOURCE |
|---|
| | 23432 | ralfherzog-20071013-en13/mfc/en13-109 HE PERFORMED A SIMILAR EXPERIMENT |
|---|
| | 23433 | ralfherzog-20071013-en13/mfc/en13-110 THE ELECTRIC CURRENT PRODUCES A MAGNETIC FIELD |
|---|
| | 23434 | ralfherzog-20071013-en13/mfc/en13-111 IT CONFIRMED A DIRECT RELATIONSHIP BETWEEN MAGNETISM AND ELECTRICITY |
|---|
| | 23435 | ralfherzog-20071013-en13/mfc/en13-112 HE IS GOING TO PUT THIS INTO THE EXPONENT |
|---|
| | 23436 | ralfherzog-20071013-en13/mfc/en13-113 THAT IS READY TO BE INTEGRATED |
|---|
| | 23437 | ralfherzog-20071013-en13/mfc/en13-114 HE HAS TO PUT IT ON THE OTHER SIDE |
|---|
| | 23438 | ralfherzog-20071013-en13/mfc/en13-115 THIS IS GOING TO BE A DIFFERENT VALUE |
|---|
| | 23439 | ralfherzog-20071013-en13/mfc/en13-116 THEY CAN SOLVE THE EQUATION |
|---|
| | 23440 | ralfherzog-20071013-en13/mfc/en13-117 THEY ARE GOING TO USE IT |
|---|
| | 23441 | ralfherzog-20071013-en13/mfc/en13-118 WHAT IS THE SLOPE OF THE WHOLE PATH |
|---|
| | 23442 | ralfherzog-20071013-en13/mfc/en13-119 THIS ANGLE WILL BE RELATED TO THE SLOPE |
|---|
| | 23443 | ralfherzog-20071013-en13/mfc/en13-120 LET'S INTRODUCE A COORDINATE SYSTEM |
|---|
| | 23444 | ralfherzog-20071013-en13/mfc/en13-121 THIS IS A PROBLEM IN DIFFERENTIAL EQUATIONS |
|---|
| | 23445 | ralfherzog-20071013-en13/mfc/en13-122 WHAT TYPE OF INFORMATION DO THEY HAVE ABOUT THE FUNCTION |
|---|
| | 23446 | ralfherzog-20071013-en13/mfc/en13-123 THE ANSWER IS GOING TO BE A CURVE |
|---|
| | 23447 | ralfherzog-20071013-en13/mfc/en13-124 WHAT IS THE PATH OF THE BOAT |
|---|
| | 23448 | ralfherzog-20071013-en13/mfc/en13-125 HE HAS TO DRAW THE BEAM A LITTLE LESS |
|---|
| | 23449 | ralfherzog-20071013-en13/mfc/en13-126 THEY HAVE TO SEPARATE THE VARIABLES |
|---|
| | 23450 | ralfherzog-20071013-en13/mfc/en13-127 THIS WILL BE SOLVED BY AN EQUATION |
|---|
| | 23451 | ralfherzog-20071013-en13/mfc/en13-128 THIS EQUATION CAN BE SOLVED |
|---|
| | 23452 | ralfherzog-20071013-en13/mfc/en13-129 HE HAS TURNED THIS EQUATION |
|---|
| | 23453 | ralfherzog-20071013-en13/mfc/en13-130 SHE DOESN'T KNOW WHAT THIS IS |
|---|
| | 23454 | ralfherzog-20071013-en13/mfc/en13-131 FOCUS YOUR ATTENTION ON THAT |
|---|
| | 23455 | ralfherzog-20071013-en13/mfc/en13-132 THEY ARE TRYING TO DO A DIRECT SUBSTITUTION |
|---|
| | 23456 | ralfherzog-20071013-en13/mfc/en13-133 IT IS NOT OBVIOUS WHAT TO DO AT THAT POINT |
|---|
| | 23457 | ralfherzog-20071013-en13/mfc/en13-134 WHY WOULD SHE BE TALKING ABOUT IT |
|---|
| | 23458 | ralfherzog-20071013-en13/mfc/en13-135 THIS IS WHAT THEY SAY IN ELEMENTARY SCHOOL |
|---|
| | 23459 | ralfherzog-20071013-en13/mfc/en13-136 THEY HAVE THE SAME COMMON SOURCE |
|---|
| | 23460 | ralfherzog-20071013-en13/mfc/en13-137 THIS IS THE RIGHT WORD TO DESCRIBE THEM |
|---|
| | 23461 | ralfherzog-20071013-en13/mfc/en13-138 HE WOULD LIKE TO TURN TO THE SECOND METHOD |
|---|
| | 23462 | ralfherzog-20071013-en13/mfc/en13-139 SHE IS STARTING FROM THIS FORM |
|---|
| | 23463 | ralfherzog-20071013-en13/mfc/en13-140 HE HAS TO TURN THIS EXPRESSION UPSIDE DOWN |
|---|
| | 23464 | ralfherzog-20071013-en13/mfc/en13-141 IT WASN'T THE ORIGINAL PROBLEM |
|---|
| | 23465 | ralfherzog-20071013-en13/mfc/en13-142 THIS IS THE INTEGRATING FACTOR |
|---|
| | 23466 | ralfherzog-20071013-en13/mfc/en13-143 HE IS NOT SURE WHAT HE GETS |
|---|
| | 23467 | ralfherzog-20071013-en13/mfc/en13-144 THIS IS WHAT THEY WERE ASKED TO SOLVE |
|---|
| | 23468 | ralfherzog-20071013-en13/mfc/en13-145 LET'S PUT THAT IN STANDARD FORM |
|---|
| | 23469 | ralfherzog-20071013-en13/mfc/en13-146 SO THIS IS ONE DIFFERENT VALUE |
|---|
| | 23470 | ralfherzog-20071013-en13/mfc/en13-147 THEY HAVE TO ILLUSTRATE THE FACT |
|---|
| | 23471 | ralfherzog-20071013-en13/mfc/en13-148 THEY HAVE FOUND A DIFFERENT VALUE |
|---|
| | 23472 | ralfherzog-20071013-en13/mfc/en13-149 THIS IS A CONSTANT FACTOR |
|---|
| | 23473 | ralfherzog-20071013-en13/mfc/en13-150 WHAT IS THE DERIVATIVE OF THIS |
|---|
| | 23474 | ralfherzog-20071013-en13/mfc/en13-151 THIS IS WHY THEY ARE DOING THAT |
|---|
| | 23475 | ralfherzog-20071013-en13/mfc/en13-152 THE EQUATION IS UNSOLVABLE |
|---|
| | 23476 | ralfherzog-20071013-en13/mfc/en13-153 THEY FOUGHT WITH EACH OTHER |
|---|
| | 23477 | ralfherzog-20071013-en13/mfc/en13-154 LET'S ASSUME THAT IT IS NOT ZERO |
|---|
| | 23478 | ralfherzog-20071013-en13/mfc/en13-155 WHAT KIND OF EQUATION WOULD THIS BE |
|---|
| | 23479 | ralfherzog-20071013-en13/mfc/en13-156 THIS IS THE FIRST THING THAT HE WANTS TO DO |
|---|
| | 23480 | ralfherzog-20071013-en13/mfc/en13-157 SHE WILL BE ABLE TO DO IT |
|---|
| | 23481 | ralfherzog-20071013-en13/mfc/en13-158 HE HAS TO START WITH THE DIFFERENT VALUE |
|---|
| | 23482 | ralfherzog-20071013-en13/mfc/en13-159 HE WANTS TO DO THIS KIND OF INTEGRAL |
|---|
| | 23483 | ralfherzog-20071013-en13/mfc/en13-160 HE DID THE INVERSE SUBSTITUTION |
|---|
| | 23484 | ralfherzog-20071013-en13/mfc/en13-161 THERE ARE SEVERAL KINDS OF SUBSTITUTIONS |
|---|
| | 23485 | ralfherzog-20071013-en13/mfc/en13-162 THERE IS ONE LESS CONSTANT IN THE EQUATION |
|---|
| | 23486 | ralfherzog-20071013-en13/mfc/en13-163 HE HAS TO INDICATE THAT IT IS THE SAME EQUATION |
|---|
| | 23487 | ralfherzog-20071013-en13/mfc/en13-164 HE CAN DIVIDE BOTH NUMBERS |
|---|
| | 23488 | ralfherzog-20071013-en13/mfc/en13-165 IT IS DIVIDED BY THE NUMBER |
|---|
| | 23489 | ralfherzog-20071013-en13/mfc/en13-166 HOW SHOULD I SCALE THAT |
|---|
| | 23490 | ralfherzog-20071013-en13/mfc/en13-167 THIS IS WHAT THEY CAN DO |
|---|
| | 23491 | ralfherzog-20071013-en13/mfc/en13-168 THIS IS A BIG TEMPERATURE DIFFERENCE |
|---|
| | 23492 | ralfherzog-20071013-en13/mfc/en13-169 THIS IS THE INTERNAL TEMPERATURE |
|---|
| | 23493 | ralfherzog-20071013-en13/mfc/en13-170 THIS APPLIES AT VERY HIGH TEMPERATURES |
|---|
| | 23494 | ralfherzog-20071013-en13/mfc/en13-171 YOU WOULD HAVE TO CHANGE THE COORDINATE |
|---|
| | 23495 | ralfherzog-20071013-en13/mfc/en13-172 THOSE ARE THE EQUATIONS |
|---|
| | 23496 | ralfherzog-20071013-en13/mfc/en13-173 WHAT DOES THE VARIABLE ACTUALLY LOOK LIKE |
|---|
| | 23497 | ralfherzog-20071013-en13/mfc/en13-174 THIS IS THE KIND OF EQUATION I AM TALKING ABOUT |
|---|
| | 23498 | ralfherzog-20071013-en13/mfc/en13-175 I WILL GIVE YOU SEVERAL SIGNIFICANT EXAMPLES OF THAT |
|---|
| | 23499 | ralfherzog-20071013-en13/mfc/en13-176 THOSE ARE THE ONLY TWO KINDS OF EQUATIONS |
|---|
| | 23500 | ralfherzog-20071013-en13/mfc/en13-177 HE KNOWS HOW TO SOLVE TWO KINDS OF DIFFERENTIAL EQUATIONS |
|---|
| | 23501 | ralfherzog-20071013-en13/mfc/en13-178 WE ARE GOING TO RECOGNIZE THAT |
|---|
| | 23502 | ralfherzog-20071013-en13/mfc/en13-179 THE DETERMINANT IS NOT ZERO |
|---|
| | 23503 | ralfherzog-20071013-en13/mfc/en13-180 THEY CAN'T JUST LOOK AT THE MATRIX |
|---|
| | 23504 | ralfherzog-20071013-en13/mfc/en13-181 MAYBE EVEN NOW WE CAN SAY THAT |
|---|
| | 23505 | ralfherzog-20071013-en13/mfc/en13-182 THEY CAN SOLVE THOSE EQUATIONS |
|---|
| | 23506 | ralfherzog-20071013-en13/mfc/en13-183 THAT IS ANOTHER KEY PROPERTY |
|---|
| | 23507 | ralfherzog-20071013-en13/mfc/en13-184 WHAT ARE THEIR PROPERTIES |
|---|
| | 23508 | ralfherzog-20071013-en13/mfc/en13-185 THIS IS ANOTHER WORD FOR INVERTIBLE |
|---|
| | 23509 | ralfherzog-20071013-en13/mfc/en13-186 TELL ME SOME FACTS ABOUT IT |
|---|
| | 23510 | ralfherzog-20071013-en13/mfc/en13-187 THE FIRST LECTURE WILL BE WITHIN MINUTES |
|---|
| | 23511 | ralfherzog-20071013-en13/mfc/en13-188 HE HAS TO GIVE SOMETHING TO THEM |
|---|
| | 23512 | ralfherzog-20071013-en13/mfc/en13-189 AND THEY HAVE DIFFERENT BOUNDARY CONDITIONS |
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| | 23513 | ralfherzog-20071013-en13/mfc/en13-190 THIS HAS THE SAME STRUCTURE |
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| | 23514 | ralfherzog-20071013-en13/mfc/en13-191 WHAT DO THEY SEE IN THAT MATRIX |
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| | 23515 | ralfherzog-20071013-en13/mfc/en13-192 THE SECOND PART IS SOLVING THE EQUATION |
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| | 23516 | ralfherzog-20071013-en13/mfc/en13-193 HE HAS TO FIND THE EQUATION IN THE FIRST PLACE |
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