Can models using quantum quench and entanglement predict if rockets repeatedly penetrating the atmosphere, damage the electromagnetic field and the stratosphere of earth?
5:00 isn't exactly clear. If I wish to have 10^14 extrinsic carrier concentration, the Fermi level should to which level? What are the red and blue lines for? No image source either :(
The red and blue lines represent the values of Ef-Ei which are plotted against temperature for n and p type semiconductors respectively. Each individual line represents the doping concentration which is mentioned on the line. So for a given temperature, doping type and doping concentration, from the graph we can estimate the value of Ef-Ei and as a result electron and hole concentrations.
why does the french like the monsters more than a french film? perhaps someday when confronted by the future and past will be to the eyes that remembered truely.
is it possible that fixed points in and out of equilibrium is a remainder to volume weight in [critical dimension -rate-] of expansion? in liquid nitrogen in a state of -out of equilibrium- the air inside the balloon become contour weight to volume capacity-volume weight to nitrogen in greater ratio (critical dimension). surface dimension is at a state of dystention to volume nitrogen.
once surface dystention is reached to liquid nitrogen the critical dimension in total volume weight is abnormal as it is dismiliar in properties to equilibrium measured in volume weight, becoming a significant change to "fixed point" temperature in ratios.
why is this argument inclusive to temperature fluctuation and not surface dystention to equilibrium? if temperature fluctuations from advent gaseous material is said to increase then what does science say to volume weight to surface dystention?
why is chaos accepted if proverbiality could be incurred? disorder system... to inherent properties? if the known natural state was not to accept atmospheric condition to sodium metal then wouldn't porous material be a problem to equilibrium? what is disorder system than a system in proverbial dissimilar dimension?
Oh well thanks for your lecture. I actually applied for one year postgraduate programme in same condensed matter and statistical. I am from Pakistan, Quaid-i-Azam university islamabad. For 2024-2025 session. I hope i will be short listed...
Hi, can you please upload lectures of the following courses. It would be really helpful and beneficial for all. 1. Linux Basics (CMP-LB) M. Stella and C. Egan (5 lectures of 1.5 h each) 2. Scientific Python (CMP-SP) I. Davidenkova (20 lectures of 1.5 h each) Thank you very much.
Can someone 'explain', in layman's terms, why the quaternions created the 'symplectic' structures (No3 after reals, and complex; t=4634 and lecture 2 at t=344). All the wikipedia articles etc., start with the high-falutin deep maths definitions. I'd like to come at it from the growing out of the real, then complex, then quaternion stepping stones (i.e. quaternions as rotation and expansion of the sphere [while complex is in the Argand 2d plane], with maybe a bit of relativity for 'grounding in reality' ;-). Plus maybe a bit about 'self-dual quaternions' for the win. Coming via bi-complex ideas is also a possibility. (see XKCD Purity for the gap ;-)
Answering my own query: First we should take a step back and re-look at complex numbers as a method of rotating and expanding a 2d vector (or point relative to the 0,0 origin) and that there is a complementary rotation angle that will rotate the vector back to co-align with the original - which is the complex conjugate. Even better if the scaling is unity.. When we get to a layman's 3d space we can always rotate a 3d vector (or point relative to the 0,0,0 origin) about an 'axis' (rotating a globe) and scaling it, using a quaternion representation as an axis, rotation & scale, and we can rotate the vector/globe back to co-align with the original using that same 'axis', and we have the quaternion conjugate, or dual (with usual hand waving simplifications). So, it's about rotation symmetry, and consistency, in the relevant number of dimensions. Background reading "A Beginners Guide to Dual-Quaternions" by Ben Kenwright (I'd already seen that in '21!), and "Teaching Quaternions is not Complex" by J McDonald. Also worth looking (for those with an engineering bent) at using Quaternions in inertial navigation systems and how they were used in the Apollo missions, along with the CORDIC trig algorithms.
Summary of “C. Wetterich, Phys. Lett. B 301 (1993) 90” I guess? But I wanna see author’s analysis : how k’^2=2k^2ln(\frac{ u}{k^2}+1) derived from constant solution h_a(x)=h\delta_a1 with (2 u -\mu^2 + \frac{1}{2}\lambda h^2)h = 2 u\phi, P511 in Nucl. Phys. B334 (1990) 506.
It makes it very clear why MERA of a few layers would be useful for language models. Because in a sentence the important correlations are not necessarily nearest neighbor, but maybe 10th neighbor. It is still short range. A few layers of MERA gets you the potential to capture such finite length cells structure.
