The Mathematician's Little White Lie
The Mathematician's Little White Lie
#Math #Physics #Approximation #Calculus #Pinocchio
sciencehumor.io/math-memes/the-mathemati...
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#approximation
Posts tagged #approximation on Bluesky
Schauder Bases for $C[0, 1]$ Using ReLU, Softplus and Two Sigmoidal Functions
Anand Ganesh, Babhrubahan Bose, Anand Rajagopalan
Action editor: Surbhi Goel
https://openreview.net/forum?id=YT79Qu1bOi
#approximation #schauder #sigmoidal
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All Roads Lead To Harmonic Oscillators
All Roads Lead To Harmonic Oscillators
#Physics #Harmonicoscillator #Approximation #Mechanics #Education
sciencehumor.io/physics-memes/all-roads-...
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How fantastical hypertimespace cosmology, developed from misinterpretation of just 2 experiments, Michelson-Morley* taught wrong, & Eddington 1919** faked from the start!
* www.orgonelab.org/MillerReich....
** Charles W Lucas, Jr, various publications
#approximation
www.billhowell.ca/ProjMini/JC-...
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In this work we derive #approximation #guarantees the K-adaptability problem achieves for the fully-adaptive two-stage problem. We also provide conditions under which the K-adaptability problem yields an optimal solution of the fully-adaptive problem.
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![A six panel comic, with two frames in each of three rows.
Panel 1: Draw a circle. (A circle is shown, with diameter d = 1, having a red perimeter, and filled in with light blue.)
Panel 2: Draw a square around it. Perimeter equals 4. (A black square has been drawn around the circle.]
Panel 3: Remove corners. Perimeter is still 4. (Each of the corners of the original square has been cut out, with the "corner" of the removed portion touching the circle.)
Panel 4: Remove more corners. Perimeter is still 4. (The process is repeated between each pair of points that touches the circle.(
Panel 5: Repeat to infinity. (The corner-removal process is shown at a much later stage, with the black jagged-edged rectilinear line now very close to the red circumference of the circle.)
Panel 6: π = 4. Problem, Archimedes? (A grinning cartoon face is shown.)](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:lnawejsv75ehjctmbqop6m6k/bafkreic4tc5n3sgy5jzcwaoxrnwnr5lqlw7cytl4saubbr26iiwlvf4rtq)
A six panel comic, with two frames in each of three rows. Panel 1: Draw a circle. (A circle is shown, with diameter d = 1, having a red perimeter, and filled in with light blue.) Panel 2: Draw a square around it. Perimeter equals 4. (A black square has been drawn around the circle.] Panel 3: Remove corners. Perimeter is still 4. (Each of the corners of the original square has been cut out, with the "corner" of the removed portion touching the circle.) Panel 4: Remove more corners. Perimeter is still 4. (The process is repeated between each pair of points that touches the circle.( Panel 5: Repeat to infinity. (The corner-removal process is shown at a much later stage, with the black jagged-edged rectilinear line now very close to the red circumference of the circle.) Panel 6: π = 4. Problem, Archimedes? (A grinning cartoon face is shown.)
Limits and infinity are weird.
#limits #area #perimeter #circle #square #approximation #circumference #pi #piequals4 #purplemath
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New #J2C Certification:
Multi-Bellman operator for convergence of $Q$-learning with linear function approximation
Diogo S. Carvalho, Pedro A. Santos, Francisco S. Melo
https://openreview.net/forum?id=D2PjEPGXgh
#optimal #approximation #bellman
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Where Would You Draw The Line?
Where Would You Draw The Line?
#Math #Approximation #Academia #Precision #Mathematics
sciencehumor.io/math-memes/where-would-y...
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Survey of Approximation Schemes for Capacity Vehicle Routing Problems
A new survey shows CVRP remains NP‑hard for capacity ≥3 and APX‑hard, with recent quasi‑polynomial‑time approximation schemes for Euclidean cases but no PTAS yet. Read more: getnews.me/survey-of-approximation-... #cvrp #approximation #logistics
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Sharp Lower Bounds for Linearized ReLU^k Approximation on Sphere
A saturation theorem shows ReLU^k networks on the sphere cannot beat an L2 error rate of n^{-(d+2k+1)/(2d)} when smoothness r > (d+2k+1)/2. 5 Oct 2025. Read more: getnews.me/sharp-lower-bounds-for-l... #relu #saturationtheorem #approximation
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#quotes #books #booksky #excerpts #citations ##signalandthenoise #silver #prediction #bias #risk #threat #approximation #assumption #uncertainty #measure #faulty #assessment
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New Algorithm Beats 5/4 Approximation for Two-Edge Connectivity
Researchers report a (5/4 − η)-approximation algorithm for the 2‑Edge‑Connected Spanning Subgraph problem, with η ≥ 10⁻⁶, in a paper submitted on 24 September 2025. Read more: getnews.me/new-algorithm-beats-5-4-... #twoedgeconnectivity #approximation
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Optimal 4‑Approximation Achieved for Correlated Pandora's Problem
An algorithm delivering an optimal 4‑approximation for the Correlated Pandora's Problem will be presented at the 2025 IEEE FOCS symposium (submission 21 Sep 2025). getnews.me/optimal-4-approximation-... #correlatedpandora #approximation
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The same logic applies in mathematics: “2 + 2 = an integer.” Right. “2 + 2 = an even integer.” Even righter. “2 + 2 = 3.999” Almost right! Asimov shows that precision matters, and some answers are closer to truth than others, even if not perfectly exact. #Mathematics #Accuracy #Approximation
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New Algorithms and Hardness Results for Maximum Range Sum Problems
Researchers present a randomized (½‑ε) approximation for dynamic MaxRS with O_ε(log n) update time, and a (1‑ε) approximation for colored 2‑D rectangles in O_ε(n log n) time. Read more: getnews.me/new-algorithms-and-hardn... #maxrs #approximation
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Assume Spherical Chicken
Assume Spherical Chicken
#Physics #Approximation #Sphericalcow #Theoreticalphysics #Simplification
sciencehumor.io/physics-memes/assume-sph...
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Physicists And Their Cubical Cats
Physicists And Their Cubical Cats
#Physics #Simplification #Mathematicalmodels #Sphericalcow #Approximation
sciencehumor.io/physics-memes/physicists...
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#alpinei alpinei.ch #autotrader uses #fibonacci and #mcda #bollinger and weights their impact on a #pnp simple #approximation the #system itself is #limited to 20 #trades with #stoploss #option #solana #sol #usdt #kraken
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Meaning Behind the Word: Pi #Pi #Meaning #Circle #Mathematics #Constant #Irrational #Geometry #Science #Celebration #Calculations #Approximation #Education #Oscillation #Curve
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![The fraction [({π}^3)^2] ÷ [({e}^2)^3] equals 9.9998..., or approximately 10.](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:lnawejsv75ehjctmbqop6m6k/bafkreib4fvn7lmerhkzyprgl5sx3q5u773mnma6cxmispz5e6mctj6qx7y)
The fraction [({π}^3)^2] ÷ [({e}^2)^3] equals 9.9998..., or approximately 10.
This makes me uncomfortable.
#fractions #pi #exponents #exponential #approximation #purplemath
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Physicists Only Want One Thing And Mathematicians Hate It
Physicists Only Want One Thing And Mathematicians Hate It
#Taylorseries #Mathematicians #Physicists #Calculus #Approximation
sciencehumor.io/math-memes/physicists-on...
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They Have Played Us For Absolute Fools
They Have Played Us For Absolute Fools
#Pi #Mathematics #Engineering #Approximation #Mathematicalconstants
sciencehumor.io/math-memes/they-have-pla...
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#quotes #books #booksky #excerpts #citations #signalandthenoise #silver #bayes #price #bayesian #probability #likelihood #perfection #newton #approximation #truth #science #evidence
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Taylor Expansions Are A Pathway To Many Abilities Some Consider...Unnatural
Taylor Expansions Are A Pathway To Many Abilities Some Consider...Unnatural
#Taylorseries #Thermodynamics #Physics #Math #Approximation
sciencehumor.io/physics-memes/taylor-exp...
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Walmart Center for Tech Excellence (WACE) at the Indian Institute of Science (IISc) is organizing a summer school on Approximation Algorithms from tomorrow (during May 21-25).
The event will be livestreamed and open to all!
#Algorithms #Approximation #SummerSchool #livestream #Walmart
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Multi-Bellman operator for convergence of $Q$-learning with linear function approximation
Diogo S. Carvalho, Pedro A. Santos, Francisco S. Melo
Action editor: Mohammad Emtiyaz Khan
https://openreview.net/forum?id=D2PjEPGXgh
#optimal #approximation #bellman
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The Precision Paradox
The Precision Paradox
#Physics #Academia #Grad-school #Significantfigures #Approximation
sciencehumor.io/physics-memes/the-precis...
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8/17 Jacobian: Linear approximation & variable transformations. molticrystal: "Jacobian operator...provides the best linear approximation...sparse matrices...can be ignored." #Jacobian #linearalgebra #approximation 📐
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Want to learn more about the topic? Go to our new blog post: structures.uni-heidelberg.de/blog/posts/2...
#mathematics #convergence #science #STRUCTURES #pi #approximation
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