What do you think "integrate" means?

On 7/3/23 08:28, Nicholas Thompson wrote:
BEGIN HARRUMPH!

Just so's you know, I did write:

*" And for some reason, the path taken by the object through space will integrate 
this difference across the distance between any two points "*
*
*
But never doubt the capacity of some group of experts, when challenged to make 
sense of themselves, to congeal around some picky point of language.  And yes, 
this is me, saying that.(};-)]

And why do we keep calling it by it/s cult name, rather than calling it what it 
is?  The difference between the energy of a moving object conveyed by its 
velocity and that conveyed by its position in a field. If you want jargon,  why 
not just call it Ev-Ep.

And yet, nobody tackles the basic question.  Why on earth would E in the v-Ep 
be something that every moving object in the universe tries to accomplish.

END HARRUMPH!








On Mon, Jul 3, 2023 at 2:17 AM Stephen Guerin <stephen.gue...@simtable.com 
<mailto:stephen.gue...@simtable.com>> wrote:

    The Action is the integral of the Lagrangian along the whole path, not just 
a single instant.

    On Sun, Jul 2, 2023, 9:12 PM Nicholas Thompson <thompnicks...@gmail.com 
<mailto:thompnicks...@gmail.com>> wrote:

        So the difference is at a positive max when the ball hits the ground 
and at a negative maximum when the ball reaches its highest altitude?  So how 
am I to understand positive and negative?    vectors?

        Instantaneious Action is at a minimum when the two terms are equal?

        I have no intuitive sense of what is going on here.

        But thanks for trying, Frank.

        N



        N

        On Sun, Jul 2, 2023 at 12:27 PM Nicholas Thompson <thompnicks...@gmail.com 
<mailto:thompnicks...@gmail.com>> wrote:

            Frank,

            Thanks SO  MUCH for forwarding this to me.  To any other defrocked 
english majors on Friam, who have listened to these guys blather on about 
LaGrangians for all these years,  I highly, HIGHLY recommend the video. Pretty 
short, AND, you might possibly, conceivably understand Steve Guerin when you  
get to the end.   Yeah.  Really.

            Nick

            ---------- Forwarded message ---------
            From: *Frank Wimberly* <wimber...@gmail.com 
<mailto:wimber...@gmail.com>>
            Date: Thu, Jun 29, 2023 at 2:53 PM
            Subject: Fwd: Watch "The Most Important Idea in Physics: The Principle 
of Least Action - Ask a Spaceman!" on YouTube
            To: Nicholas Thompson <thompnicks...@gmail.com 
<mailto:thompnicks...@gmail.com>>




            ---
            Frank C. Wimberly
            140 Calle Ojo Feliz,
            Santa Fe, NM 87505

            505 670-9918
            Santa Fe, NM

            ---------- Forwarded message ---------
            From: *Frank Wimberly* <wimber...@gmail.com 
<mailto:wimber...@gmail.com>>
            Date: Thu, Jun 29, 2023, 12:51 PM
            Subject: Watch "The Most Important Idea in Physics: The Principle of 
Least Action - Ask a Spaceman!" on YouTube
            To: Thompson, Nicholas <nickthomp...@earthlink.net 
<mailto:nickthomp...@earthlink.net>>, Barry MacKichan <barry.mackic...@mackichan.com 
<mailto:barry.mackic...@mackichan.com>>


            https://youtu.be/UuqpCBZoX3M <https://youtu.be/UuqpCBZoX3M>


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