ferdinandjproa @timely_pace@qoto.org
Juggling with notations and making some sense to it. I’m just preparing a part of my draft related to my self-refresher in Lie groups, manifolds, related topics. I’d try to present my own approach as I am guided by the discussions in my resource materials. The draft will be posted in the coming weeks at my wordpress and the posting will be tooted here. You may (perhaps not) stay tuned!
attempting to have a write up with an aim to present in the gentlest of ways some basic notions in Differential Geometry that are also important in Lie groups such initial discussions involving maps, charts and atlases by taking an example that is not too complicated to illustrate like the unit circle 90percent of this for my own benefit so the write ups i’d be sharing here must you check for misconceptions, seriously…
an expert reader would have noticed last night's typo! if i'd have the extra time and energy be providing additional details
from my old notes in Lie groups, one of those self-made workouts in the past when I first introduced Lie groups to myself, it was also in those days i met alyn a year before she finally convinced herself to take up an engineering course, the time we met she was still a working girl being a cook and a waitress in a diner owned by her relative. at first she liked to pursue chemical engineering but when she actually enrolled she… a different engineering degree although orphaned already at that time and had to take care of her younger siblings she wasn’t totally hard-up economically since she inherited small landed properties and an apartment from her parents although she loved to work and earn extra money (re the quiz, you can consult any textbook in Lie groups and Lie algebra and there are some advanced textbooks in differential geometry that cover topics on LG and there are even quantum field theory books that contain introductory discussions on such subject)
I would have given you something from my self-refresher courses in Lie groups and manifolds with topological spaces but I would rather have my “equation of the weekend” taken from my other technical stuffs like this one. This, one of the many amazing things I never cease to be fascinated about, especially conservation (conversion) laws.
Now about this, one can notice that a loaded electric generator may experience transient acceleration or transient change of kinetic energy per unit time the moment it begins supplying electrical power to an external load resistance. The acceleration of the moving conductor dies out may be quickly in time as the velocity of the conductor settles down to a constant value. How soon the transient quantities die out depends variably on the total resistance, which in turn may vary with the external load resistance.
While when an open circuit (infinite resistance) condition is approached that is, electric power is vanishing, the acceleration tends to persist infinitely longer in time and as this happens the velocity ceases to be dependent on the resistance. Instead, the velocity increases linearly with time, given an open circuit in which electric power is no longer expended from the generating conductor.
Why it would require greater applied mechanical force to rotate an electric dynamo when electric power is being supplied to an external resistance load than rotating the dynamo without the load - the change of kinetic energy per unit time is diminished in the presence of electric power supplied to the external load so that the internal generating conductors inside the dynamo cannot move faster than without the load. to barely rotate the dynamo without rotational acceleration what is needed at least is applied mechanical power equals the electric power needed in the load.
this one from my FB profile photos but i don't have an FB now i've deleted my account more than a couple of months ago
a friend notices that he sees only the football field aside from the oval field being renovated, then where is the children's baseball diamond field? there used to be a diamond field within that new football field... don't worry, it will be there just to be relocated within the school perimeter the standard size for children's baseball... for now the site is restricted, no visitors and onlookers allowed to get within the area while under construction
I like taking data of an electronic component from a simple experiment and to make sense of it all… took me a while though to fit the data altogether, just a simple math I kept on forgetting, a loadline… it’s only when all the numbers from the experiment fit so nicely of course, within some acceptable experimental errors between the observed and the calculated (it’s really important especially for a circuit designer to know some basic data of his components if it’s possible for him to devise simple experiments rather than just getting the facts from datasheets)
glad i have enough time this evening to glance my old differential geometry notes, consulting on basic topics and here's my self-made homework you can consult any textbook on differential geometry
my own design automation circuit although I have posted, bragged about this many times online before, just finished another set of mass reproduction of the control circuit board this afternoon… in the schematic that I have attached t106d1 has been replaced with mcr100-6, which is smaller and suited in terms of physical requirements, while meeting circuit specifications.
i took a hike this morning to try to close a small business agreement with someone re my customized electronic projects and happened to pass by the public elementary school and saw the status of the construction of the school's mini sports complex and quite delighted to see that the construction is nearing to its completion... i could only imagine that in the coming weeks i would be playing baseball in the school again to relive those elementary school years there when we were training in our team for various coming meets... those happy elementary athlete days and how we liked it to play under the rain!
just rigged a new adjustable power supply (left) for my own personal use at the lab, the output dc voltage can be selected from 9 volts to 15.8 volts with 7-ampere maximum current output... this would be useful in testing my customized electronic products such as the automatic solar low voltage shutdown aslvs box (right): (on test without a load at its output) the aslvs in the ON mode with a dc supply voltage not less than 12.9 volts, aslvs switches to the OFF mode when supply voltage goes down to 10.8 volts
a typo in the tooted rough draft, possible corrections here while also checking where other errors are
or perhaps tooting my shop work in electronics (yeah, i have crude tools one might say from the stoneage but that's my cottage industry)
i leave it to you to judge whether modern consumer electronics like a radio-audio set such as this still technician friendly by technician friendly i mean not too impossible to repair given those miniaturized chip components that need specialized gear otherwise, disposable and technicians can only scratch their heads!
