The knowledge that light is polarized precedes the knowledge of the existence of the photon, see polarization of light for the classical point of view.
The polarization state and how it can be decomposed into different modes can be well visualized with the Poincaré sphere.
One key idea about photon polarization is that it carries angular momentum. Therefore, when an electron changes orbitals in the Schrödinger equation solution for the hydrogen atom, the angular momentum (as well as energy) change is carried out by the polarization of the photon!
- clear animations showing how two circular polarizations can make a vertical polarization
- a polarizer can be modelled bra operator.
- light polarization experiments are extremely direct evidence of quantum superposition. Individual photons must be on both L and R states at the same time because a V filter passes half of either L or R single photons, but it passes all L + R photons
From the 2020/2021 Oxford physics course handbooks we can determine the following structure:
- Year 1 (CP, "Coure Preliminaries", "Prelims"). Take all of:
- CP1 Classical mechanics, Special relativity
- CP2 Electromagnetism, circuit theory and optics
- CP3 Mathematical methods 1. Complex Numbers and Ordinary Differential Equations. Vectors and Matrices.
- CP4 Mathematical methods 2. Multiple Integrals and Vector Calculus. Normal Modes, Wave Motion and the Wave Equation.
- Year 2 (Part A). Take all of:
- A1 Thermal physics. Kinetic Theory, Heat Transport, Thermodynamics.
- A2 Electromagnetism and optics
- A3 Quantum physics. Quantum Mechanics and Further Quantum Mechanics.
- Short options: at least one of:
- Mathematical Methods
- Probability and Statistics
- S01 Functions of a Complex Variable
- S07 Classical Mechanics
- S10 Medical Imaging and Radiation Therapy
- S13 Teaching and Learning Physics in Schools
- S14 History of Physics
- S20 History of Science
- S21 Philosophy of Science
- S22 Language Options
- S25 Climate Physics
- S27 Philosophy of Space-Time
- S29 Exploring Solar Systems
- S33 Entrepreneurship for Physicists
- Year 3 (Part B). Take all of:
- Michaelmas term
- Hilary term
- B1 Fluids
- B3 Atomic and laser physics
- B5 General relativity
- B7 Classical Mechanics (for MPhysPhil only?)
- B8 Computational Project
- B9 Experimental Project
- Year 4 (MPhys). Select two from:
Trinity term, the third and final term of each year, contains mostly revision from the previous two terms, after which students take their final exams, which basically account for their entire grade. Trinity is therefore a very tense part of the year for the students. After that they have summer holidays, until coming back for the next year of madness.
The official external course landing page: www.ox.ac.uk/admissions/undergraduate/courses/course-listing/physics. 2021 archive: web.archive.org/web/20221208212856/https://www.ox.ac.uk/admissions/undergraduate/courses/course-listing/physics) In those pages we see the rough structure, except that it does not have the course codes "A1" etc., and some courses are missing.
At web.archive.org/web/20221229021312/https://www2.physics.ox.ac.uk/sites/default/files/2011-06-03/course_v3_pdf_80151.pdf page 11 we can see the global course structure giving the two options, 3 year BA or 4 year Oxford physics masters:
Year 1
(Prelims)
|
|
v
Year 2
(Part A)
|
+-----------+
| |
v v
Year 3 BA Year 3 (MPhys)
(Part B) (Part B)
| |
| |
v v
BA Year 4
(Part C)
|
|
v
MPhys
Practical courses notes: www-teaching.physics.ox.ac.uk/
Some others with lecture notes:
This is a good book. It is rather short, very direct, which is a good thing. At some points it is slightly too direct, but to a large extent it gets it right.
The main goal of the book is to basically to build the Standard Model Lagrangian from only initial symmetry considerations, notably the Poincaré group + internal symmetries.
The book doesn't really show how to extract numbers from that Lagrangian, but perhaps that can be pardoned, do one thing and do it well.
These often come pre-soldered on devboards, e.g. and allow for easy access to GPIO pins. E.g. they're present on the Raspberry Pi 2.
Why would someone ever sell a devboard without them pre-soldered!
6x1 pin header
. Source. Died of cancer at age 53. Ciro Santilli just can't help but speculate that it is linked to radioactivity exposure.
This period is similar to the Quaternary, but it also includes tool usage by close relatives of humans which were not humans yet.
It ends together with the pleistocene.
The growing number of parameters of the Standard Model is one big source of worry for early 21st century physics, much like the growing number of particles was a worry in the beginning of the 20th (but that one was solved by 2020).
And before he kicks, the goalkeeper must also decide left or right, because there is no time to see where the ball is going.
Because the kicker is right footed however, he kicker kicks better to one side than the other. So we have four probabilities:
- goal kick left keeper jumps left
- goal kick right keeper jumps right
- goal kick left keeper jumps right. Note that it is possible that this won't be a goal, even though the keeper is nowhere near the ball, as the ball might just miss the goal by a bit.
- kick right and keeper jumps left. Analogous to above
- the American stock market gives 10% / year, which is about 2x over 10 years. It has been the sure-fire best investment on a 10 year horizon for many decades, and should serve as your benchmark.
- risky diversified investments (e.g. ETFs that track a market index) are basically the best investment if you can keep your money in them in the long term (10 years)
- risky investments can gown down for a while, and you cannot take your money out then. This effectively means risk is a form of illiquidity
- investment funds have taxes, which eat into your profit. The best investments are dumb index tracking investments (like an ETF that tracks the stock market) that are simply brainless to manage, and therefore have lowest taxes. No fund has managed to beat the market long term essentially.
- when you are young, ideally you should invest everything into riskier higher yielding assets like stock. And as you get older, you should move part of it to less risky (and therefore more liquid, but lower yielding) assets like bondsThe desire to buy a house however complicates this for many people.
sqlite3 ':memory:' 'WITH t (i) AS (VALUES (-1), (-1), (-2)) SELECT *, row_number() over () FROM t'
-1|1
-1|2
-2|3
With a possible output:
partition by
:sqlite3 ':memory:' 'WITH t (i) AS (VALUES (-1), (-1), (-2)) SELECT *, row_number() over ( partition by i ) FROM t'
-2|1
-1|1
-1|2
By default, the setup runs on CPU only, not GPU, as could be seen by running htop. But by the magic of PyTorch, modifying the program to run on the GPU is trivial:and leads to a faster runtime, with less
cat << EOF | patch
diff --git a/run.py b/run.py
index 104d363..20072d1 100644
--- a/run.py
+++ b/run.py
@@ -24,7 +24,8 @@ data_test = MNIST('./data/mnist',
data_train_loader = DataLoader(data_train, batch_size=256, shuffle=True, num_workers=8)
data_test_loader = DataLoader(data_test, batch_size=1024, num_workers=8)
-net = LeNet5()
+device = 'cuda'
+net = LeNet5().to(device)
criterion = nn.CrossEntropyLoss()
optimizer = optim.Adam(net.parameters(), lr=2e-3)
@@ -43,6 +44,8 @@ def train(epoch):
net.train()
loss_list, batch_list = [], []
for i, (images, labels) in enumerate(data_train_loader):
+ labels = labels.to(device)
+ images = images.to(device)
optimizer.zero_grad()
output = net(images)
@@ -71,6 +74,8 @@ def test():
total_correct = 0
avg_loss = 0.0
for i, (images, labels) in enumerate(data_test_loader):
+ labels = labels.to(device)
+ images = images.to(device)
output = net(images)
avg_loss += criterion(output, labels).sum()
pred = output.detach().max(1)[1]
@@ -84,7 +89,7 @@ def train_and_test(epoch):
train(epoch)
test()
- dummy_input = torch.randn(1, 1, 32, 32, requires_grad=True)
+ dummy_input = torch.randn(1, 1, 32, 32, requires_grad=True).to(device)
torch.onnx.export(net, dummy_input, "lenet.onnx")
onnx_model = onnx.load("lenet.onnx")
EOF
user
as now we are spending more time on the GPU than CPU:real 1m27.829s
user 4m37.266s
sys 0m27.562s
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