Speaker Characteristics:

Gender: male;
Age range: adult;
Pronunciation dialect: General American English.

Recording Information:

Microphone make: Sennheiser PC 131;
Microphone type: noise canceling headset;
Audio card make: Andrea USB adapter;
Audio card type: USB;
Audio Recording Software: Audacity 1.2.6;
O/S: Windows XP Professional.

File Info:

File type: FLAC;
Sampling rate: 48kHz;
Sample rate format: 16bit;
Number of channels: 1;
Audio Processing: no

en13-001 The computer will get lost in eternity.
en13-002 How does the curve actually look?
en13-003 This is going to be very complicated.
en13-004 She will tell you what the solution is.
en13-005 This is illustrated by the following equation.
en13-006 This will just destroy their faith in these things.
en13-007 They have to calculate those slopes.
en13-008 They have to draw all those curves.
en13-009 It really doesn't matter what you are using.
en13-010 How many times does the function have to be evaluated.
en13-011 Why should they use anything else?
en13-012 They are going to decrease the error.
en13-013 The error varies with the step size.
en13-014 This is the second order method.
en13-015 They make a temporary choice of this.
en13-016 The computer knows what that is.
en13-017 Does he have to say anything else?
en13-018 He has to get the right value.
en13-019 This is a temporary value.
en13-020 You can use this instead.
en13-021 This is a simple improvement.
en13-022 He has to draw this parallel line.
en13-023 He is interested in solving those equations.
en13-024 This is what they should try.
en13-025 He is trying to improve that slope.
en13-026 They have to find a better value.
en13-027 This is a simple improvement.
en13-028 They just have the next step.
en13-029 He doesn't have any idea what the solution is.
en13-030 He is trying to switch from one variable to the other.
en13-031 He can think of it as a general linear equation.
en13-032 He doesn't know about that.  Let's forget about that.
en13-033 How could the conductivity change over time?
en13-034 He is trying to solve these equations.
en13-035 It is the differential equation.
en13-036 This is for the same reason.
en13-037 It is called the diffusion equation.
en13-038 This is the external concentration.
en13-039 She can travel in various ways.
en13-040 There are less important models.
en13-041 It occurs in a variety of models.
en13-042 What is so important about this equation?
en13-043 It shouldn't be written this way.
en13-044 This is a form which he will never use.
en13-045 How about the left-hand side?
en13-046 This is a standard form.
en13-047 That is the equation, they are talking about.
en13-048 This is extremely limited.
en13-049 He will find some other function.
en13-050 He will give you examples.
en13-051 They are solving differential equations.
en13-052 He discovered the power series expansions.
en13-053 He is well known for his frequent use of power series.
en13-054 They were responsible for much of the progress in the field.
en13-055 The function is applied to the argument.
en13-056 She tried to introduce the concept of a function.
en13-057 He introduced several notational conventions.
en13-058 The name is associated with an impressive number of topics.
en13-059 Many of his works are of fundamental interest.
en13-060 His importance in the history cannot be overstated.
en13-061 He worked in almost all areas of mathematics.
en13-062 He introduced much of the mathematical terminology and notation.
en13-063 He made important discoveries in several fields.
en13-064 This is the final exam.
en13-065 The relativity theory is too abstract.
en13-066 There may be multiple choice questions.
en13-067 They have been charged to the same polarity.
en13-068 So let me show you how the transition is made.
en13-069 I am going to look at this part.
en13-070 They have to write the matrix form.
en13-071 They are sharing these resources as a service.
en13-072 Supplementary resources are available.
en13-073 This is the square root of minus one.
en13-074 He will come back to this next week.
en13-075 He is making this a dummy variable.
en13-076 This is done in the very first section.
en13-077 He can put it on the outside.
en13-078 She will write it in the compact form.
en13-079 It has to be compatible on both sides.
en13-080 They have to put it into the position.
en13-081 They have to look at the temperature model.
en13-082 This is the most important case.
en13-083 Why don't they concentrate on the most interesting case?
en13-084 They can do this in general.
en13-085 We can complete the solution.
en13-086 He wants to make it a bit more of a problem.
en13-087 They found the integrating factor.
en13-088 Multiply both sides by the integrating factor.
en13-089 They are doing just one research.
en13-090 This is the formula for the integrating factor.
en13-091 He thinks it will be better to summarize that.
en13-092 We can solve that, but please don't forget that.
en13-093 This is something they want to do.
en13-094 Do you see how reasonable that is?
en13-095 He is going to solve this equation.
en13-096 He thinks it is the best.
en13-097 She works very accurately.
en13-098 She is performing and acting with care.
en13-099 He is capable of providing a correct reading.
en13-100 They are trying to find a subset of the original variables.
en13-101 A physical system exists in three dimensions.
en13-102 It can be divided into feature extraction and feature selection.
en13-103 It is the process of reducing the number of random variables.
en13-104 It will extract the relevant information from the input data.
en13-105 This is a positive charge.
en13-106 These boundaries are grounded.
en13-107 We can measure the charge on the ground plane.
en13-108 It has the same potential as the source.
en13-109 He performed a similar experiment.
en13-110 The electric current produces a magnetic field.
en13-111 It confirmed a direct relationship between magnetism and electricity.
en13-112 He is going to put this into the exponent.
en13-113 That is ready to be integrated.
en13-114 He has to put it on the other side.
en13-115 This is going to be a different value.
en13-116 They can solve the equation.
en13-117 They are going to use it.
en13-118 What is the slope of the whole path?
en13-119 This angle will be related to the slope.
en13-120 Let's introduce a coordinate system.
en13-121 This is a problem in differential equations.
en13-122 What type of information do they have about the function?
en13-123 The answer is going to be a curve.
en13-124 What is the path of the boat?
en13-125 He has to draw the beam a little less.
en13-126 They have to separate the variables.
en13-127 This will be solved by an equation.
en13-128 This equation can be solved.
en13-129 He has turned this equation.
en13-130 She doesn't know what this is.
en13-131 Focus your attention on that.
en13-132 They are trying to do a direct substitution.
en13-133 It is not obvious what to do at that point.
en13-134 Why would she be talking about it.
en13-135 This is what they say in elementary school.
en13-136 They have the same common source.
en13-137 This is the right word to describe them.
en13-138 He would like to turn to the second method.
en13-139 She is starting from this form.
en13-140 He has to turn this expression upside down.
en13-141 It wasn't the original problem.
en13-142 This is the integrating factor
en13-143 He is not sure what he gets.
en13-144 This is what they were asked to solve.
en13-145 Let's put that in standard form.
en13-146 So this is one different value.
en13-147 They have to illustrate the fact.
en13-148 They have found a different value.
en13-149 This is a constant factor.
en13-150 What is the derivative of this?
en13-151 This is why they are doing that.
en13-152 The equation is unsolvable.
en13-153 They fought with each other.
en13-154 Let's assume that it is not zero.
en13-155 What kind of equation would this be?
en13-156 This is the first thing that he wants to do.
en13-157 She will be able to do it.
en13-158 He has to start with the different value.
en13-159 He wants to do this kind of integral.
en13-160 He did the inverse substitution.
en13-161 There are several kinds of substitutions.
en13-162 There is one less constant in the equation.
en13-163 He has to indicate that it is the same equation.
en13-164 He can divide both numbers.
en13-165 It is divided by the number.
en13-166 How should I scale that?
en13-167 This is what they can do.
en13-168 This is a big temperature difference.
en13-169 This is the internal temperature.
en13-170 This applies at very high temperatures.
en13-171 You would have to change the coordinate.
en13-172 Those are the equations.
en13-173 What does the variable actually look like?
en13-174 This is the kind of equation I am talking about.
en13-175 I will give you several significant examples of that.
en13-176 Those are the only two kinds of equations.
en13-177 He knows how to solve two kinds of differential equations.
en13-178 We are going to recognize that.
en13-179 The determinant is not zero.
en13-180 They can't just look at the matrix.
en13-181 Maybe even now we can say that.
en13-182 They can solve those equations.
en13-183 That is another key property.
en13-184 What are their properties?
en13-185 This is another word for invertible.
en13-186 Tell me some facts about it.
en13-187 The first lecture will be within minutes.
en13-188 He has to give something to them.
en13-189 And they have different boundary conditions.
en13-190 This has the same structure.
en13-191 What do they see in that matrix?
en13-192 The second part is solving the equation.
en13-193 He has to find the equation in the first place.

Copyright (C) 2007  Ralf Herzog

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, see <http://www.gnu.org/licenses/>. 

--- (Edited on 10/13/2007 1:41 am [GMT-0500] by ralfherzog) ---