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Был в обсерватории ГАИШ, наблюдал Луну, Юпитер (Каллисто, Ио, Европу, Ганимед) и Уран! Впечатлений масса, мой ноут и stellarium пригодились
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A regular lightbulb isn’t “incoherent”; it just depends on how fast you look.
At,
10⁻¹⁶ s → you see clean EM waves
10⁻¹⁴ s → perfect interference patterns
10⁻⁶ s → classic messy bulb light
Coherence isn’t a property of source; it’s timescale.
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GPUs process thousands of pixels in parallel, but what happens when we write a single pixel to the framebuffer? How is it done?
Watch a CPU paint each pixel in this amazing RISC-V visual simulator (load the bitmap example):
eseo-tech.github.io/emulsiV/
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To understand SIMD, start with memory organization.
Algorithmica nails it - again.
en.algorithmica.org/hpc/cpu-…
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[Download 698-page PDF eBook]
Everything You Always Wanted To Know About #Mathematics* (*But didn’t even know to ask)
A Guided Journey Into the World of Abstract Mathematics, Theorems, and the Writing of Proofs: math.cmu.edu/~jmackey/151_12…
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“High-Dimensional #Probability — An Introduction with Applications in #DataScience”, by Roman Vershynin
UPDATED 339-page PDF 2nd Edition here: math.uci.edu/~rvershyn/paper…
+
Author's website: math.uci.edu/~rvershyn/paper…
————
#Statistics #Optimization #MachineLearning #Mathematics
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Math
Readers added context they thought people might want to know
This is a clip of a video by Alan Becker. Full video can be found here:
youtu.be/B1J6Ou4q8vE
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"Pen and Paper Exercises in #MachineLearning"
Download 211-page PDF: arxiv.org/abs/2206.13446
Author’s GitHub: github.com/michaelgutmann/ml…
—————
#DataScientist #AI #ML #DataScience
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Supercomputing for AI - Foundations, Architectures, and Scaling Deep Learning. [804-page masterpiece]
Read it online: jorditorresbcn.github.io/sup…
Buy it: amzn.to/4qS4pFz
GitHub repo: github.com/jorditorresBCN/su…
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116 years of Barnard's Star: 1940 to 2056. Proper motion and parallax are visible. The field of view is ~ as wide as the full Moon. #astronomy
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Mathematics and Logic Symbols ✍️
Quantifiers and Sets:
∀ - For all (universal quantifier)
∃ - There exists (existential quantifier)
∈ - Element of
∉ - Not element of
⊂ - Subset of
⊆ - Subset or equal
⊇ - Superset or equal
⊄ - Not a subset of
∪ - Union
∩ - Intersection
∪̸ - Not a subset
∅ - Empty set
∖ - Set difference
Logical Operators:
⇒ - Implies
⇔ - If and only if (equivalence)
∧ - Logical AND
∨ - Logical OR
¬ - Negation
⊤ - True
⊥ - False
⊕ - Exclusive OR (XOR)
→ - Conditional implication
≡ - Equivalent
Numbers and Constants:
ℕ - Set of natural numbers
ℤ - Set of integers
ℚ - Set of rational numbers
ℝ - Set of real numbers
ℂ - Set of complex numbers
∞ - Infinity
π - Pi
e - Euler’s number
Operations and Relations:
∑ - Summation
∏ - Product
√ - Square root
|x| - Absolute value of x
Δ - Change/difference
∇ - Gradient
⊗ - Tensor product
≤ - Less than or equal to
≥ - Greater than or equal to
≠ - Not equal to
≈ - Approximately equal
∝ - Proportional to
Geometric Symbols:
∡ - Angle
⊥ - Perpendicular
∥ - Parallel
Reasoning and Statements:
∴ - Therefore
∵ - Because
