Excellent presentation! From the Laplace transform can you present difference equation in time without inverting the Laplace transform. This is what is used in Industrial Digital Control Systems (DCS).
At 1:42 - How can you just suddenly treat the columns (that represent x, y, and z respectively) as coordinates in 3d space? For example: The x column vector [1 2 2] are the x values for all the 3 given vectors from origin. HOW COME you can just treat the x-values as x, y, z values to form a 3d coordinate for a new vector? (the same goes for the y's and z's) ?? I really don't understand how this is possible? Is it a trick that just happens to work?
The problem is the word imaginary. Thats why i usually avoid using "complex numbers" and instead use "phasor notation" when dealing with AC citcuits (Both things mean exactly thr same tho) Maybe we need to find a new name? I really like "Lateral", but it doesn't start with "i". So maybe "Invisible numbers"? (It hints that there is a whole plane beyond the real number line that we cannot see, instead of something we made up), but i would really like a way to call them thay starts with "i" and also hints at their rotation nature
Hello! I don't really know whom or where to ask about it. In my city there is available course (i might mess up the terminology, we call it totally different names) called "Engineering and space system management". The syllabus tells what all the courses are related to maths, physics, space missions, engineering etc. Do you think it is a good path? Before that i would study mechanical engineering. Thanks in advance for all answers.
turn to GOD and repent men through CHRIST, GOD bless you all GOD loves you all, (pray)🩷🩷🩷 Repent=knowing your sin, confessing your sin, realizing your mistakes, feeling actually sorry for your sin, asking the All Merciful GOD for mercy and forgiveness, change your ways Trust in the LORD with all your heart❤ and lean not on your own understanding but in all your ways trust in HIM and HE will make your paths straight❤❤❤
Thank you thank you...explained to an amateur with a rabid wish to know from first principles. Ive even bought an oscilloscope with FFT to see what a signal looks like without knowing what to look for
9:24 Thanks for your interesting article. My intuition said there is something important about this mechanical effect. This model shows how a field represented by a sheet of elastic material under the right initial conditions naturally form quantized energy levels. From there it was easy to form very stable three dimensional structures using a very minimal amount of material. (similar to the way engineers built large light weight space structures) ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-wrBsqiE0vG4.htmlsi=waT8lY2iX-wJdjO3 You and your followers might find the quantum-like analog useful in visualize nature properties of fields. I have been trying to describe the “U” shape wave that is produced in my amateur science mechanical model in the video link. I hear if you over-lap all the waves together using Fournier Transforms, it may make a “U” shape or square wave. Can this be correct representation Feynman Path Integrals? In the model, “U” shape waves are produced as the loading increases and just before the wave-like function shifts to the next higher energy level. Your followers might be interested in seeing the load verse deflection graph in white paper found elsewhere on my RU-vid channel. Actually replicating it with a sheet of clear folder plastic and tape and seeing it first hand is worth the effort.
This video is inspirational, I am planning to read Griffith's intro to electrodynamics, Taylor's classical mechanics and Shankar's Classical mechanics in the next two years. I'll come back to comment once I have completed this quest to update you.
Zach- LOVED this video. I think I have an idea as to why the universe looks like a 4D hyper sphere. Please take the time to look at this. I am retired. ER doc, and avid amateur cosmologist! And I have this idea I’ve been working on actually for the last 50 years and just in the last year or two I think it’s come together. Please take the time to look at it. Take Einstein’s 1917 spherical finite static universe & adjust it to fit the Big Bang paradigm. All the energy created by BB is flung out, by Dark Energy, in the shape of a rapidly expanding shell. The two sides of the shell expand away from each other faster than light, thus are not gravitationally linked. Thus the gravity or curvature of space time is determined only by the LOCAL shell. Einstein’s universe had a 3D hypersphere as its surface, in this model BOTH sides of the shell width are a 3D hypersphere. This means that on both sides of the shell width ALL light geodesics CURVE BACK INTO THE SHELL. Just like in einstein’s universe no light can escape the shell, the universe will thus not wind down. The shell represents all dimensions to all observers. The void the universe is expanding into, and the void left at the origin of the BB are never visible! Although macroscopically the shell is not homogenous and isotropic to all observers in the shell THE UNIVERSE will appear Homogenous and isotropic! You can use simple Newtonian mechanics to show that in the shell gravity is zero at the center of the shell width, and gets progressively higher as you approach the edges. This is the extreme curvature that creates a 3D hypersphere surface on both sides of the shell width, light following along the surface on BOTH sides. The center of the width is in physical reality the surface of an expanding sphere. All 3 dimensions focusing to this point makes it appear as a 4D hypersphere, ie all 3 dimensions represent there. The surface of an expanding sphere of course is the PERFECT GEOMETRIC SHAPE TO REPRODUCE A HUBBLE PARAMETER! Yes it’s audacious, and out of the box! An actual shape to the universe! Why not that’s what Einstein thought he got it wrong only because the astronomers of his day assured him that the universe was static. This model, just like Einstein model, absolutely needs dark energy because otherwise the shell would want to collapse in at all times, but instead continues to expand out, creating immense inertial fields. A two sided 3D hypersphere - THE SHELL, THE UNIVERSE! So simple, so logical, yet it explains everything!
as an EE student, interestingly my university teaches us statics, dynamics of rigid bodies and deformable bodies, even thermodynamics and fluid mechanics, but not as advanced like from ME and CE...
can you talk more about your friend who did electrical for bachelors and mechanical for masters, because I am stuck in the same postion. Specifically, how did he cover the prerequisites, how did he apply, did he work in a position related to mechanical engineering before he started his masters, etc? Your earliest response would be much appreciated.
Bro you straight up ignored the fact that a dad can have two daughters, both of which are named julie. This implies that more than half of all dads with 2 girls (and at least one of them named Julie) will say Julie
