this program is brought to you by stanford university
please visit us at stanford dot the
what we're talking about
for the next
well several weeks in any case
but the structural
of the laws of
period
the laws of physics
alternet
in common
feedburner carmen sincere underlying basis
for a common for
laws of physics
siminrhod physics there are some more such a mathematical swarm performers
regard that
particularly with the law physics
through lots of probability theory
the fact that probably works altogether review law physics i'm not sure
but agreed on the loss probability theory
as more prisons
remarks specific laws of physics
all of the laws of physics accuser peoples and rape
such as uh...
are who will also post in the park were recreation field
laws of electricity magnificent laws truck heartwarming electric and magnetic
fields
flawless classical laws of physics
alters the coalition of people
any such things
all those laws of physics have a common form
and the common form of his
principle at least action
what a form of an extra step forward and usually not freeze but for me
was involved in sports we structure
laws of the world annex
are simply the statistical lost a lot of the leaders of the grease of freedom
genders
but the basic laws of those degrees of freedom
half of form
of the principal restructure
the second or third dynamics is partly a lot about probability
and partly or loss of metal off
are press was on the morning
majors
is that the laws of physics derived from a principal restructure
so we're going to be talking
the day-to-day about principle at least action
before i do is is my habit i will talk a little bit
predominantly mathematical rules
or said
expected you to notice of calculus or at least minimum
who have having remembered it this is one time
okok calculus
also decided that i repeat sidewalls bins
maddox through the needed complimentary things
soul
organi tonight part two blue europe's
the first year of the the few integration by parts most of you
probably know about
mentioned by parts
simpson something we we use our will derided
first of all
supply enough so take your call
let's make the independent it will be c
deep-sea
team won
fifty two
some function
but of course it's all happens to be derivative
of some of our culture
the airport just ordinary through here
he has
bart beaty
was a typical
the eight th april
relative
is simply the function
back
but the investigator
the indefinite integral of derivative
is just the function itself
then yeah
determined
over the winter
is just a different social function f to a point to the degree of
minus f
he wants
yes let me say this is just
through well
think about work the integral part of it is
since the summer
of little incremental balance of
but the equipment that was what was that was the
really interest means
the difference of the function main reports
this might be
at point truly mindless at that point one
provided by removing grammatical duty
that mexico is possible
act for it
there are probably going to staff
truman
lost pet point
foreigners at that point
so for
everything cancels out
first of all i ask her
and filled out
recant
they all counts a lot except the last one
first one
so
in the middle of the river there
there's just no difference of the function
some more
secretary
let's suppose the friendship
is actually the proper to fracture
insecure people product
of middle f
t times g
was ever going to be written as a product of some functions
but what's use this event
capital f
is a problem
hello relevent feet deep
rhetorical act with respect to me
as the summer of two terms
suraj trackbacks ek baat direct
is equal
the f dot
left arm
jenny
plus
g
doctrine
this is the role or picking the route
first factor the second
positive news and bad
furs
so let's apply it
cool up there
across the eighty
or a belfast is acceptable to you want
epcot
lost
g_e_ da
i was a structured to terror
considerate it
thing which is not differentiated
and the other
is
the opposite
for
well or outline
that equal
for the product
angie
at one end
f_t_ at the other point western equivocation for this
standing ovation
there's a difference
art he
teamwork
standard notation
difference
of option to win
so we tried
this is a bit
due in court
prob
yesterday
integral of the left
yet whenever you're right into the world is a severe some
yeah i think he is just a thought
i won't comment on the list of the question up yet but i will send
questions like that
when you get to confused about something like that
are
stocking slow me down here too
rare and force me to make this process
yugoslavia
this is when you talk about it
so they should be at the
all right let's take a special case a special situation
is where the under f_-four g_
vanishes igloo zero at the end point
that special case which will come upon a time again
where for one reason or another
i heard it
orgy
is equal to zero
at to win
it could be
the zero ato pinpoint it could be g_b_ zero and point to put this in this case
are buck
in any case
orgy benches at the end points since zero
bookclub
and that's good
even that's good enough
but in a special cases will be building
as a rule one of these two
will always be zero
and so that's clear
talking like this formula
in the former actors usually
the integration by parts for
behavioral
and i won't bother again points the endpoint receptors
either forty two
dat
of halfback he
transpose this opening up sorry
that's equal minus
the integral state-controlled he wanted to be too
the
gtalk
so you're saying if you happen to have an integral
would be integr
i think that the grading happen to be a product of derivative
practical politician
you can't interchange
differentiated in which was not differentiated
but expenses
you have to change the size
when you change
the place where the bottles
again away through
aunty
well i was in the senate properties equal zero at the end points
as warm as
difference zero
let's reflect
so mrs
one small theorem
another small
you're going to be smaller your own
artwork or here
are exposed a diversion part
world news tonight
this was sort of a work of the world
mentioning
well happy function equality of sixty
again so i don't know if you take
i'm not going to get the greatest is not supposed to finally came out
nichols would be one fifty two
if you something
unhittable
yes i know about it
i go about it
veterans integrated
with any function any other functions
at fifty
multiplier impulsivity
this can be anything out
if you take any function
multiplied by a two e and eclectic
let someone know that the answer is euro
uh... i want to know
method about what spokespeople here
if you multiply it by any
and you needed a few days your honor
what does that tell you about eight
accountability is zero
and the easy way to see that
is a destroy any documents
let's check if he has to be zero at some specific point
let's take a specific ordinary
they don't have to go to pick up for auction at the
which is zero everyone has a second city about one point
then we won't apply
the function eighty peninsulaequipment score blip rockton
well placard function requested something proportional eddie at that
point
and so i will get
is something proportional
any a point where the boot function
is nonzero
well by choosing the book could be anywhere else
with improved
the eighty s the zero reporters
so that we have a hard time
multiplied by
arbitrary structure
it was always zero
their function aids behera
supplies
that aids
now you can check despite integrating it with a specific function
it just takes a particular continued in the interim part zero
that would come to a limited amount of information
well i think the program
how long how long does it take you to integrate with every possible function
so this is not something you do what he
uh... i
as of right
you know actually
check this michael brewer family functions
improve
treatment
he always integrity zero
okay
now who already
the big one
relationship
between the principals
which is a global statement from eastern rifles
or representatives projectors
offices your life
histories of sister
the system is described
ourself coordinates
call q
and the trajectory of the history of the system
is a projects
out
i think the awkward europe beholz awful
apologies for that
the problem is that in
elementary mathematics the independent variable is always taken
questions
physics
independent variable which is usually
prime always think be brutal acts
so uh...
we have to her
the pockets of power
steve perspective
okay so that's the
and are eight trajectory or a history of the system
is
a trajectory as a function
of although the cubans hugely important autoworkers functions
q_-one
t martini
you will see
realty although parents generalized coordinates describe suspecting or the
response of time
you know the story
we're interested in this business is
projectors
there's two ways of going about formulating laws of physics
one of global
local needs to concentrate part
location along trajectories
and personal along
which tells you how to go forward each point
remembers
give it a bit of information
somewheres along
directory
it tells you how to talk a little bit folk
ethnic will certainly is an example
it tells you the acceleration
in terms of the position
so in that case you need to know what you need to know in that case
you need to go home
cubes
anarchy docs
innocuous
if your thoughts
ethical sanity
thank you for the next point
next point next point
eventually build up the whole project report
and it was an airport will will physics
well in the sense that makes reference only a little bit of the project very
differentially small
the other way
of describing
laws of physics
is through a global calls global
what moved forward
which looks at the whole project every consider some points while the action
we're too stupid to buy the pilot ejected
which has been a parties
who lived through projector
but the truth project three
former actually describe the system
reaction has been on my knees and put back what you have to do
again
twenty-four somebody finally set another record on two things report
q one q dot
they don't do things for each
you need to know if you want to be getting into that area
and economically with him
these are two different formulations of laws of physics
and they are limited record arbitrator
they are
if properly formulated
now how do you see global loft wordpress
police action
is related to a local
decided on just focusing
trajectory yet
releases directory
and state art if i would suggest that he has gone through this
final notes on that
but supposing that i want to be some
then the principal at least action
tells me
that moscow along with subject between these two points which
minimizes the actions we used to play
another words
identifies the entire action
it must also minimized the extraction
locally between to date report
because of the child
decorated here
which stadium race action please two points
that also wouldn't be a modest
the election
so
there is a relationship
between global laws
role
and particular
if i give you
the law of physics and the point police action principle
we should be able to derive from it
a differential equations
which described
analogous wasn't a that's what i want to do that
quite a few steps involved
probably
harvest definition
deprivation
round-the-clock
back we're going to do
effect let's call cutie
humility
stands for the actual project leaders
repair sources
please you want
feed hahahahaha
argue we have received
where
n represents total number of
werner's fixed infrastructures
because the system
particles
britannia is three times the number par
so that's up to decorate as represented by those reforms
now let's take let's
scenes the fed remove it
before then
moving a little bit
i hate each q i have
and eight to work
number althorp
african getting longer
specific absent art
benefits out of politics
obtrusive
doesn't know what they are
but inventive obtrusive functions specified
eight of them
and let's face it
the q supplier t
with a coefficient alpha
but change the opera
this type of life they could be anything
what happens is that the project the old one other point
we're going to require
trajectories
the initial point before
japanese that environment
should be zero
the initial point of a fire
so ever
t is the banished the initial point
park forty
agrees that
it drove
something his version of your support before
so to write back priority
army
zero
mormon
what was it subject may look like
fit for a little bit
well which i think that's what we're should
at each point
we shifted a little bit
by inbound
which is proportional allah
but also the question
the set of functions of flighty sort of ownership
the trajectory
i thought it was just a shift to the right side of chicago right
physician some more complicated
sort of direction
depending on the other party
the soviet partisans should remove it
or not portion
that gives us a new project and i think the graphic trajectory but the deadline
which is not the solution equipped
let's calculate the action
of the original
food subject re
escola reaction of the project
becuase
we're not sure
yet when i should refuse a little bit
eight becomes a function of out
because it was rejected
blockquote
luciano one of the action is
it will depend on the trajectory
so eighty compensate functional outlets that get tactful
it becomes a function of power
were given problem
we're given subject early
and they didn't set up supplies
a is just a functional
part of our united mission directory
the american economy
negative
if you should
effort
just about questions that victory for the right
mitigation
says the trajectory panel at
well let's suppose we don't have an accent
is minimized for the trajectory
between trajectory co-sponsor article zero
that's consistent completely innocent
trajectories up
it says that eight
alpha
is minimized out there
principal police actions as a fact that sucks it every possible collection of
functions apart
no matter how you look forward to that movie
it's the truth exactly is the name of the action
in the air
a couple of minimize without zero
that the return of a
with respect that our
is people zero when after exiting zero
it was a row
species in the trajectory karen's husband haufer
increases the action
and so
tells us
a is stationary
will still
that's not clear salary
or central
well our our football government less power
so let's not talk about
so far too
supposes a thing
which has been the mars for the project
that was a single call action
it must somehow be connected
removes a question
because every one hundred supposed to be the same
lori workers right now
reaction is i think that go along with the jet
internal meeting
twenty-one
from the start of important
the endpoint
post-cold
l stands for granted
grungy
was named for the runoff
clusters of course a frenchman
lol
the country
costs
was on the story
what's really going on
okay
so what colors are
reporter
loads of course
oklahoma city
we're going to be reciprocal
and
over guadalupe religion depend on the
the exit from the trajectory
it depends on
he will take
queues of identity
escort committee which means all the kids at the
but also the velocity
the position that requires and walk
so he had this
harmful to the ground and then is it
specific terms
either
of the sublime
u_p_s_ equal
competitive g
harness
the kinetic energy typically responses
velocities
the potential energy usually
will be
restful check out www
for the moment l completely functions
positions and losses
and reaction
is the integral
versus a somewhat all along the trajectory
although incremental actions from one point the max
let them into action
position velocity
here
it all up
lots of contract
professors
saw four hundred lose the fact that he might sue me
leaders of the involved
legitimizes
this is a problem capitalism variation
quartile
it's very flies appalled at what must be very
what's been very busy definitely she had to get the real
we require that the truth that there is a warning which gives us the least
action
offices in action
and of course pen out the biggest depends on how fun fact
calculators notes right up
what's the derivative
give some thought
is equal
i want to put up a little simple his school
this indicates that this is the flu solution
correct that
celeste holm one of these victories she would
just a little hammer indicate
that is the truth detector
ac dictates would solve a problem
then we did a little bit of the trajectory output city
and that is something that awful
without her
we could even be able to hear what as possible after is part of our
if you look at these at the time
is a function of output
put them out
now what's the derivative
sabari
with respect to help
is just an ordinary
derivative a pizza party
respecto
plus
this doesn't depend on our offer
paragraph of
sort of the relatives of unsuspecting outfit with respect to the party
the changing reaches out there
pacific life
what about the change
in the velocity
how does the blossom
nugent altho
well the change in the velocity to change in cuba dot
is just about the issue
right there
dr
possible
et al
absorbed into that they are welcome just remember
works as a member of the panel karne
which is the biggest
fix it once and for all
decided as a reporter for
the are
changing cute haha
when we change our
is just a thought
i don't think you will set the output
treat ki baat
respect the outfit was just a thought
let's find out how much the action changes
promises they actually change
when u very helpful loopback
but just differentiated
he paid by the offer
decontaminated will be disarming
curves
it stands for
so it won't be keen to none of these things are pat by now
but they didn't have an opportunity knox
so how many find out how much the action changes
intercourse aware
runs again wheelchair
because the accused mccain basket
for example
teachings can spark
ratted me change kyu sabari
speeches you cancel our meeting chakala
xa party
this is a change in or trying to go to a small change
times have changed cuba
when you send out
but that's not all of us who are l also depends on if you thought
story at the end of it
the change in the grand cayman back changes
argentina bar user about
this is a change in direction
luce aqua
some alarm
all of you a specific changes object
is able to change the each one of its arguments
the change in your
stumble opr
armaments being the sense of the poor
assets writers artists
this issue
be able to her
will be a problem
attack that was complicated is differentiated each one of things inside
multiplied by the about that
okay that he had returned
of kenya
let me ask you could be any function at all
well-respected
that advances at the end
of movie reports the importance of male reports
but here we have every thought
really works for a for about half as the ac than police sirens multiply in an
apartment for rent
what's the trip premise is that
integration by parts
you prepared for what has become integrated differentiated
and undifferentiated
if your paper one which is a undifferentiated differentiate
what will also have to change the song
so let's just work are miserable or rewriting it fits his work on it
we're going to get undifferentiated staff
at the course of differentiating his whole thing
i think that i a think i'd be pissed off
work
when she took a while she was there
excuses that
but she is the elevated cute dot
fiddling around with this
only reimbursement yet
but the rest of the p_l_o_ thank you god
plays a role to you
talk park street
okay sort red circle around preparing the identified g
interest level
okay so what i like it then
for the second term
the second time alone
the second chemical minus
it will be people t twenty two
pc
there
kind of g dot
bradley's problems began to eat
delighting c
the root of the and with respect
cuba's cable company
people eighty
of to review
with respect
can survive
objects of art
this is gtalk
you by haiti
of g_'s
uh... instead of having a pop
we don't have it
so no i don't like both of these terms
both in terms of her coming from beirut he will be prepared
drinking bottle
if the rules
we ought to reform should have
that's right the whole thing down
is what became of them i guess i'm
first-term
you know like q
actual harm
over here today
generals market where this
this is a term
the actually changed because we treat q a little bit
visited the actual because we can't control over it
whereabouts gateway contribution from the airport soviet grow
there was about the term
which was
times g at the end point
whitener
stipulated you want to pass
did it go
projected passively initial and final point
so that's a f should be zero appeared
so there's no contribution
well that would calculate recalculated the change in the action with respect to
help
change in action
with respect to help
after it was your own analysis outfit you're all over matters and cannot or
what's the rule
the rule is that this should be equal to zero
recitation
all it okay
respect our
this should be equal to zero
at the extra picnic at outside the bracket
all growth
probably where use some of our here
each juror
bar
more parts of our
this has to be zero but
three possible function epsilon
all possible ways of deforming jet
because we're looking forward to directly with the new
and so far away before the trajectory
recent increase the action
across there
has to be several every possible
or is that right
twice
the the unique really wacky
has to be a good because your own
so we've done
is we've taken the condition
of lisa
we have converted into a full statement
at each point along the trajectory
trajectory
exactly
this is true for every
combination of pop singer warmed up to
rehearsal or
that means that every one of these expression
has to be equal to zero
each party
at every point
he felt like you
my guess
debugging t
of the elderly dot
as these are all projector
this asap for global warming question
each point on the trajectory
it's important
waltzes
the accident
okay now that this incident
this is called wonderful grunge equation
from the very issue problem
of minimizing
the integral
school or about the world
equation or in our poll are
our arms
variational equation
and this of course that is the heart
all all
in a slightly different form
related
but the most sophisticated form
there's also the park one
parker
every physician aren't going to be
ordered physical system and to be
with anybody
can be formulated as an action principal hoover
but there's no need for mechanical systems include system fields
preparation
durability string theory everything
public variation
principle
the statement of what we sat
at st
for the world today
despite state
window and i think the best way
let's come back to our sins of english at the workout room sensitive and
specific example
perhaps by the congress has been specific example
wednesday works there
equi
is that as i think it's about
that's the next thing to do what is the show that
in a couple of
cases that interested really does produce the right
bono's references what's the plan
local description trajectory
or or
caroll descriptions of differential equations in different equation as we'll
see
workouts an example there was a system of the country
a former pupils in
instead of just in terms of ransom for moving though
some definition
velocity
in
deserve the rescue tomorrow instead
five hundred of the
will often
twilight
is equal to be reputable viewed respectful compliment quirk
related to its right
what's right
your work it out
to salute sample
and respect
here
danielle
something happens to study for
are initially
the court date the open to keep survive documents that depends on how much
depends on which coordinates book
its corporate sort of simple associate
usually call
pipes the party
programs here
hoga velocity
can survive dr
sort-of component
of something
but related to the reboot look around you
respectfully component though
remittances
it's the moment
dramatically conjugate
to supply
or if you could just say the moment
the momentum
which corresponds to the position component cute subah
did you think of the killings of
nanoparticle ours
off
momenta
for now
our sources say this is peter
safety
off something i'm calling implement them
is equal to be a barbecue
how about this this coming
generalize
force
missus
this is the
talking about
agree
por cuanto momentum conjugate momentum conjugate q
that the country
abiquiu
but if you want
the other hand
p_l_o_ baggy
you are only
the so-called generalize
generalized home reports
oracle yet
so-and-so
maritano select the musical to support staff meetings every disciplinary
let's try it out
or a specific with bernie
feet parties
that's for sure
a single party
particle
aspin
blooming
won the election of space just as simple as possible problem
than t
is equal to one
massive
article
palms x aren't
pops squares
exporters
but survived work work
responsibility that's three
records the
exiles of course just
philosophy described his house
minus
you are packed
pascal
was the fuel for this problem and using the language of cubes of power
prospects
solo unreasonably external renew position
but of course is the cube
it was a generalized
for any kind portrait
x's usually use
we're talking about required course
perfusion ct work
four let this slip no rogers equation set
longer integration sectors of or the other party
the elvira exile
mysterious that come out momentum conjugate ek
p_l_o_ by the exxon
your search stopped growing list of the risk
is just a quote
and stop
to goes away because that's not square
differentiate respected spot
but just give us nextag
usually corvette
supper at four p
prisoners language
we're talking about what the report this long lines at four
reviews online with the facts
remitted
we use the language p
we're talking about what it was kind of
coordinates
but in this case
killers acts of violence
equations
peabody t
occupy the sa
but that's an xbox
is equal
equals the don't like the act
the elderly acts
do you want
commonplace what except for years
x-rockettip
so this is just bring this to you by the x
distributor
which is just that it was a bit
kristallnacht
minus the number of years
soho successfully reproduced integration creek parkway
one between freedom
women who are
threaten
lorentzian last year
i would have gotten won't sign
so the entity
talked about it
coherency plus
radzinsky mike
lagrangian is not consumer
reproduced not physically not concert
as apartments all the order
gentlemen
exp philosophy which doesn't
trip back
who work with the right
energy conservation
from this rule here
but so far
we happened to her
for let's go for a little bit more maybe are consistent
permittee particle system
owner
for these particles
let's have made it hard
batik words for each part recorded for each part
x_y_z_
score that's one of two mystery
but also we had a little part
let's look at
altogether
caller
x one bhai backed out
with haiti's weak
appropriate assistance
happily
the total number of texas
each partner mike
different reacts
so that he checks out somewhere
financial mess that goes along with it
of course they'll come triplets
are
the updates
article doesn't depend on which way to go away
we can bring a lot more general
situation
reflects not square
at home tax
this would be a macro macros for real principles particle of course
the best of the kind of which were exploring
so travels they would come to
hussein nets
that's alright
weekend we can
extend rotational
and just right
vatican etc energy as the sun
all all of the work
albeit probably mass for that one day
aren't expired dot squared
reinhard
he wanted to three
being exported to the
just need which
for ripple route
it means that collection
all or different things
which specified work
which particles
as well as which direction
mental energy
which is a function of where particles are
it's approximate positions of power poles
just because
depends on all the parts there
adventure
brains directs
direct series you all work
that's the same
instances you may have some
particular special for about special
the general context
we can add to the u_n_
which just opened up all the position
there what happens
if we've gotten the same exercise coordinate backward
well the elderly expired prod
becomes and so far in advance of our top
will collapse
it's a lot
mister balsam
good conservation
so i want this is x_y_z_
this is the actual arsie component of a particular partner from
because also very good
parker would pop out
as soon as it stands i don't know what direction state-sponsored
there are three ed
will revert
reimposition
each equation
isoform
hunt derivative
of the momentum
particular particle
is equal to the force
opponent of the
force
associated particle and the particular their trips but
the see examples of a because they're made for each part will be ecstatic
so hahaha
brigades
the implication
is it just ahead of the jungle
afterall ustedes physical excerpt
forcible
before so what happened to be just sucks to hold it together the race up
you're not going to collect
held together by forces
this
susan extremely general
we're talking about here
is definitely got blanked the principle of police action
resection
if g
so i hope we separated
will be stature
this general enough to cover just about every possible mechanical system
think about
because of mechanical system to think about the magic be nato johnson victory
which in turn made
our course
particles altogether interatomic forces arrivals of its together
let's take a couple of examples
just to see how things
let's go to capitol articles online
interacting
force between them
by a potential
absolute
the particles are all right
i want has coordinates one
would have to death
for who has been expanded to
that was also
potential
at the pentagon
of popcorn
because of course between compartments
and compartments influence each other
do you expect the gentleman potential committee will depend
position on both parts
maybe it's a complicated way
don't take up with chemical kasama particular situation
and the particular situation is one which has rapport
recalled
translations
invariants beans
that while purposes now
rodziah or let's say in particular
potential energy
would not change if you move both
articles dept
another words it doesn't depend
on where apartment block it doesn't
distance between them
this assumption
is equally
who hates it
the symmetry these
recipe in a moment with jack
for the city translations
depends
on the way they can put the origin co-workers
because although it depends on the distance between part rules
which is another way of saying
but if you remove the whole system
the defense
translation dvds will be a trajectory
everything be kept
at the same distance
by this case below ground
are out
the velocity spoke change if you just
take part in a moment with a given blossom
blossoming which means it will certainly stands at a certain part
if you change
both the initial position and the final was issued by the same amount
than the velocity doesn't drink
laos airfare
if you're cardozo gw ohio and our
for the u
over the head
parts of the distance
and to keep the velocity decided to go to walmart
velocity itself
doesn't depend on the choice what work work
sumptuous art
well it's a complexity
at a constant exit status at cox
possibilities
change the tiger
so she can get your feedback on staten island g melotsky's
and
the potential energy only depends on the distance between them
potential energy doesn't change
if you're into the water
but also
substances solar panels
as piece of it
it doesn't change if you've if you were born everything by the same amount
does this have a clear
in that case
looked like it comes to purposes that would be connecticut g and more
x one password
plus and to me
x toolbox where
brevard cartoon
as a kinetic energies
that a potential energy
and potential originals assumed popcorn will depend on the distance between x
one
neuroendocrine x one minus excuse
cannot be the case it was a lot of matter out here
but deterrent forces on both excellent excellent
there are potential might also look at how close to work with bookmarked it
would be just the kind of distance between them
will also depend on the basis of the people on board here
fuck the police system
if this is the closest thing
compared with the props
which translates to them
me to say everything
everything stays the same view
shifter
at the pentagon
function
distance between two point six point nine sixty
actually doesn't have the access to
we could make it
we want to be bitterly because
there
haha
brought their proposal records would not function separation months
as translation
at least ethnographic constant
the extra synchronicity checks but we will change
losses
little change
because of a lot of the best
controversy
annex one of my sexual we've changed to discuss the translation
i think this is a citizen's dictates of translation symmetry
let's work out now who runs a quiet
visited places x one
equation for extra requests address one
peoplepc
the vitality
all partial l
with respect to explain that
people's parcel l
with respect to explore
i think i think the apostle along with respect to explode
that's just
and eighty
first part
right that's just
at fifty five P c_e_o_ p want
i_b_t_
form
momentum part one
the element yet or not but just m_s_-one route
the woman
and so forth
with a sparkling starts with the he won't let me see
is equal
to be held by the x_ warm
according to the complex one
that comes as a whole minus
dei yu by the export
worker said part for
what's your partner to now
vp
identity
that's what he called martinez
you may
might be expelled
what's a russian veto fueled by pierre trudeau
you by the x_-two
there is no answer
but they cannot only depends on the defensive to variables like this
derivative lots of sleep there
the derailment
top view with respect to export
is just to get rid of the view with respect to the argument
is it not is obvious to everybody derivative with respect to x two minus
the respectful
there's obvious to everyone work
pop
reports
which i think that's an excellent texture
now that's the whole let's just hold is variable excellence excellence given to
me
assault x
so he was on the part of it
melissa or except for the people of difference
the verdict
the is excellent partnerships to
extrapolate first of all reviewed
you with respect to explore
rental you expect next march
is in the middle of your suspected he he
than it was really on the phone
the return of the
that that's what
what's in the middle of the this is the actual princess di
the
west is going to help you with respect to work
so this is just
you won't he
what sort of new with respect to
x u_n_
by t_b_
privacy he
using external
what's a change in human genetics group
with g_t_e_ the when you change it
the return of the universe at this table
oversight for a reason why this is really set me up there
that's com
support to the fact that
well
the implication seemed to be it was a lot of action
refractories something
petulant only depends on the distance between a difference between lugar
that's translation in there
progressions submit
that spoke to the state before some political warm
is minus a foursome are printed
works as a result the net result his momentum conservation
if you'll be a peaceful equation
vp total
they want to ask you to
by beauty
forces on the right-hand side of the capitol
just listen to the states
may assumed that could work
solar powered
is that moment conservation
for this ipl system here
consequence of translation did there
as a consequence of
davidson one
and number two
formidable equations
and the fact that the ride
from our
off principal b respect
lulu we're going to explore this more thoroughly so if i was just an example
and it's an example of the relationship this is really really important
this may be the most important thing to convert back
learned about buchanan physics practically
is the connection between symmetries
conservation
example of the relation between secretary translation invariance of
space
and conservation law which is the conservation of momentum
surgery
says that you only depends on the twenty six two
follows force
part one
is minus the four support group
back-to-back follows
conservation woman
conservation lead
so was the first example
sumatran
are consultation warns
and their relationships sick
research the
there either
the underlines
physics theoretical
that every symmetry
associated with it
conservation
or something to eat
facility news
at the operation
before the system
for example translate
which does not change
does not change the balance
you
or better yet dot
the action
system does not change
what you do a transformation of some hai
in this case does need to get it right by a fixed amount
off
that is a city
particular act
everytime
the action subtree
whose associated with it
this is the simplest example
first of many examples that i hope we'll see
over the next hour
along with the suitors
op
yesterday
if they come up
they would be a member of the city of tuzla culture
the revenue
okay
in classical mechanics
hope sweeps of history
continue asymmetry is one that you could have had to do it a little bit of a lot
we'll talk about the stiffest districts in the trees and
for this reason that reform the parents are primary person all
just a very small separate big wanted the build up the pictures are a lot of
small step
that's holding his a completely absurd
are discrete adventurism operation
into changing two things
which already has
discreet for one way or the other
and is not an internal review cleaner
in class
mechanics
discrete symmetries
generate interest income
sold but thats
that's rigor
greater discretion
so you're right outside of the century particular mrs
passengers were
berkshire
implication in class or annex
because they have
duplication
implication
okay tom
so we just did
conservation wilmington for certain people to a couple more capital cases
let's do our problem in which a particle
whose interconnections
but i will get a sense of your concerns
forever
off
hoarseness report
associated with it but let's not just that
boarded a taxi
exiled display
are subscriber
or intimate to cuba's now trappist apart was because of the direction of space
the kinetic energy
is one dash and
xw sweater
once might have
white house where
happen soon for the next was not conduct which direction
partners movie
good
supplement part
manassas va burton
improvement
admitted or not
uh... this is a great patient
potentially what you're talking about
gravitation
case i haven't seen it before
reputation
municipals
this is not the situation
whereupon observes that the other youngsters here
behind the elevation
pot
transection letter to you
is equal
at the height of the park along
and so forth
edwards bass
part of what password you have to look at it
exhilaration
rapidly
computers per cent per se
reduced and
forgive us our patient
municipal severe
okay that's the last year's as well
well haha x component because you might get zero
the environment
is equal to angie
but of course the
months facts or minus the white wines minors
and resign
represents the fact that the forces
downward
when we came to light axes twenty are
sorts sorry
isomers endowed
or subtracted isn't being potential energy
status-quo pat
well i have to employees
unsanitary along the x-axis
changing expire pumps it doesn't really get soft
he doesn't depend on x
raj
missus will rogers
lagrangian is
translation invariant along the u_s_
yes extra
i want to
so quiet
the hotline
because of the wiring here
u_s_ they want
personal life
this more
ashmore
booklet
bookings
who's the president jack
i'll
haha
his moral person
earlier religion islam
lady
lives here
memos incidentally i would consider himself
weekend at constant
this is something to support that while
you could always in constant
potential energy
at no cost changes none of them
that a constant has to be treated as a to a concert
problem
changes me because the change the force you but
well you're right
constant
so it doesn't change any of the force
it's recess
zero a potential energy
any
that way to measure
the out come from
c level eleven
meters above sea level
plot
eugene wong
are told that logic
we should find
conservation walked up to
jafar concocted
won't sociated with except not corresponding conservation war walked
his hands
and in fact workout equations equations of motion
will be held by the x-files
an ex-cop
you'd like to get back
co-ordinate
this time salary should
zero
one zero because you must depend on that
this is just conservation of the x_ component movement there
the actual
remittance shorter
but the white
you might be t_v_
all and walked off
cognitive wife
moment from
is that correct
with respect
rubrics
minus
angie
granison g
you won't want mindset
briefly
market place's g
also was escorted destructive vertical acceleration
this report
the work force of gravity
or
are
heartbeats or a citizen of the stories
cancel out
remotest
important thing is that there is no consolation winder
address associated with the fact that the dosage
associated
number more example
all of a relationship that the relationship
winston richie
also
it's a settlement i won't use rectangular quirk
expressed
polaroid
tomorrow
asst
so far
so far and i think for properties com
we will talk about it yet be perfectly right
indestructible
lizard conservation
kinetic energy minus
dominican was
so it's a required i can expect to see that energy is conserved
they want to ask the question
defended his conservative
is it also has a report spots on symmetry and if so what
so what we want to work
formulate almost
people physics now visits of these people conservation
or something like that follows
consequent what's wrong
victims
the principle of
least action
does not behave
on the cold war
describe
when i look forward to you
youthful look forward
rectangular coordinates to produce
however coordinates
you could use a school coordinates kerbler
fancy curve
huh
taxes and so forth
you can always call
grading all of next week
hurt uh... axes and so forth
arm
using equipment to light
you could remind
the kinetic energy
you couldn't really liked the expression
give me a lot more complicated macquarie x
buckle rewrite the expression for kinetic energy
will grow
you're probably right expression reaction
the book more complicated
although the courts
but it will still be the same goal action
it will depend on the trajectory give you the same cancer that were committed
to rewrite correctly
but the action has been the models for the correction technology
is a statement that was the panel equipment
so the principal at least action
zeke principal that is quote
specific work but that we could
the incident
describes
when i say it was
although or trip so if we were talking about partner
let's take the case
on the part of a million
now instead of the front gate by exit
less distracted by aren't
distance from the heart
angola
we have to write
that will run out of harm's equations system to who are pics
aren't there
antigen
giving up her sis out
party
memory it's about time
distance from the ocean
at the angle
determines that jack the ripper
objects or out
the connecticut for
collectivity as one hand the square
so we have to look at the catholic
to losses
to do that
threats temporarily set up
whiteness this point of view carpool
we want access to the world are taxes
warrants block all there
solo olympic
but federal government was just the government has caught the workers
except you recognize at this point
velocity has to comply
isn't part of our part
you will not be surprised a lot more itself where you live
moments prizes
tell you that the velocity are
all right thank you so far
equal arc
spot
on strategy
there's a component of
blossomed
the on top
what about the component of velocity
perpendicular direction
it
it's just a thought
the along are
our court date
the along
permit iraq
perpendicular power
how big is that
it's not
uh...
but arthur i didn't see that
supposedly apart
gilliardi
over here
nato p unifier
but also in kansas city mo austin
supposed to change the angle horsing around
but this is a loop arms for wedding
it was a lot more
so for that long
forgiven they did not forgiven
they did not
bergeron who are
definitely was moving faster than my role
in fact the velocity is proportional powerful or where you are
but also of course
with a top persisted about zero it was brought to you
you have no blossom
political component of loss of the
the kinetic energy
i think are component lawson square
archives where
cost for and
promise keepers
victimless where
just pops wear
figure it out for
this particular
potential energy
bogelindah special potential v
which is called central force
central force these potential energy only
archives where thank you
square
the square
network password yet
are slated statements
now that
introduce a potential
and let's make it
only depend upon
only depend on this
that's a special case puts a special case woodson watson wall soup kitchen
without saying
is that nothing changes rotate
takes a look at it all depends on pissed
with the kinds of district's he's angelotti does not change wrote position
rotate the actions
just physically fit
artful rotated without
stretches are
than the potential doesn't
excellent al
penalty
dot but it doesn't
okay absolutely all things but
andrea
check that
but as you can see because none of them
baydhabo explicitly
questionable thing is
so if they don't
so here brain tissue or are
yes you are
let's work out now programs equations of motion
if you lose
ahora but
door we have to work out
first of all on star
partial elbow
respecto are dropped
transparent
at it
possible relatives but
it's at mark dot
desk also equal to the moment the conjugate car
it's just a great deal component in america
dot
or n velocity or correction
not surprisingly
that's the repealed
here
backgrounds of questions become you'd like to use
which is
c_e_o_ apart dot
sandbar double dot
acceleration
is equal
or his
he
are usually wears you working on reveal told before so
this is just a radio component of ethical today
to second degree apart
wagner most of the radio that's not cancer
records
the bhakti
of the radio toolbar at the moment
personal received by mister you whether you are
so there is no consolation
let's look at the angular grace
and the question
jail
speakafreaka generalized wordnet
awesome perspective they thought
that's in are squarely
they did not
what's that lets me listening ptr
lord
was it was a really good
regularly mentor
olympic movement
but we see now angular momentum arises
at the same
the l
the at all
paid off
same time
respect utah
is the moment
hockey q
the elbowed i thought
we're going to continue kar the elder
did not
mcveigh
what's important mission
it's the only two years
devoted to the
and more are square they are not
is even more
zero its case
because he wasn't it
the yet some people zero assets that something but
equation of conservation
concentration off elsewhere hip-hop or concentration
when the four corners pensions and it doesn't happen you know
intended
usually call elvis presley
satisfaction
elkins consider
in fact i a lot of stuff
receptor
group coordination
supercars
says that are scripted
sources it didn't are supporter
it off
is equal to a concert
doesn't change it
whatever it was really began
over the weekend mostly
development but g
well that's all this entire bela bartok
approximate or and
employer
dissimilarities
as are both in our
for whatever reason
are perhaps oscillates think smaller
they did not treated as property
this is just the rhea spinners fear
as artists for
they did not consider
conservation
but you see that
once again from you soon
the symmetry in this case p
grants
thank you
translation database
concentration
that's the pact
program is copyrighted by bureau today
please visit us at stanford dot the