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Oletko aina olettanut väärin millaiset kolikoiden kuuluu olla? https://thick-coins.net

Sources: JD.com and Ant are lobbying the People's Bank of China to authorize yuan-based, Hong Kong-issued stablecoins to promote the yuan and counter USD coins (Reuters)
https://www.reuters.com/world/china/chinas-te…

Tossing half-coins and other partial coins: signed probabilities and Sibuya distribution
Nikolai Leonenko, Igor Podlubny
https://arxiv.org/abs/2506.12369 h…

Tossing half-coins and other partial coins: signed probabilities and Sibuya distribution
We provide an example of numerical simulation of signed probability distribution for the case of tossing a (1/n)-th of a coin.

So the basic idea is that we first compute a "level" for whatever interaction, by adding beneficial modifiers and subtracting harmful ones. Imagine most modifiers are smallish integers like 2 or -3 (though they can be non-integers too). Each level can be thought of as making things twice as good/bad, although this only applies directly when they're balanced. The actual formula starts with a 50/50 chance of "success" at level 0, and then each positive level halves the chance of failure, or if the levels are negative, each negative level halves the chance of success (note that halving the chance of failure is not the same as doubling the chance of success).
The intuitive explanation is that you start with a coin flip. Then if the level is positive, you flip that many additional coins and succeed if any single coin succeeds, but it the level is negative, you have to flip that many additional coins and succeed only if *all* flips succeed.
For example, if I have a dagger with 5 crit chance, and I attack an opponent with no armor modifiers, I'd have to win any 1 of 6 coin flips to score a crit (p = 1 - (1/(2^6)) = 63/64. Increasing my crit modifier by 1 ups my chances only slightly, to 127/128. This is obviously pretty poor return, indicating that the 5 I already have is very strong. If the opponent had armor with -3 to crits, the interaction is now level 2, so the crit chance is 7/8, which is still pretty good. We can see from these examples that the basic system
rewards a small level advantage a lot, but the rewards diminish rapidly. The system has a few avenues for tweaking how it works though, that can let us modify this. There's also a potential benefit (though sometimes drawback) that no matter what the level gap, there's an effective limit to how much the interaction swings.

Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins
Takahiro Hayashi
https://arxiv.org/abs/2506.14304 https://…

Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins
In this paper, we construct a partial group \(\mathcal{P}(F)\) that represents the "partial symmetry" inherent in a subset \(F\) of \(d\)-dimensional Euclidean space. In cases where \(F\) is not connected, \(\mathcal{P}(F)\) captures more detailed information than the conventional symmetry group \(G(F)\). To establish a stronger connection between \(\mathcal{P}(F)\) and \(F\), we introduce a novel definition of partial group action. Furthermore, to characterize \(\mathcal{P}(F)\) in specific ca…

Two Dimensional Silver Dollar Game
Ryohei Miyadera, Enchong Li, Akito Tsujii
https://arxiv.org/abs/2506.06307 https://arxiv.org/pdf/2…

Two Dimensional Silver Dollar Game
We define a variant of the two-dimensional Silver Dollar game. Two coins are placed on a chessboard of unbounded size, and two players take turns choosing one of the coins and moving it. Coins are to be moved to the left or upward vertically as far as desired. If a coin is dropped off the board, players cannot use this coin. Jumping a coin over another coin or on another coin is illegal. We add another operation: moving a coin and pushing another coin. For non-negative integers w,x,y,z, we deno…

President Trump's 2024 financial disclosure report shows he earned ~$57M from his stake in World Liberty Financial and $1.2M from an NFT licensing deal (New York Times)
https://www.nytimes.com/2025/06/13/us/politics/trump-disclosure-cryptocu…

Trump Was Already a Crypto Czar in 2024
Financial disclosures for 2024 filed by the president on Friday show that digital coins had already become one of his family’s most successful ventures.

TensorTouch: Calibration of Tactile Sensors for High Resolution Stress Tensor and Deformation for Dexterous Manipulation
Won Kyung Do, Matthew Strong, Aiden Swann, Boshu Lei, Monroe Kennedy III
https://arxiv.org/abs/2506.08291

TensorTouch: Calibration of Tactile Sensors for High Resolution Stress Tensor and Deformation for Dexterous Manipulation
Advanced dexterous manipulation involving multiple simultaneous contacts across different surfaces, like pinching coins from ground or manipulating intertwined objects, remains challenging for robotic systems. Such tasks exceed the capabilities of vision and proprioception alone, requiring high-resolution tactile sensing with calibrated physical metrics. Raw optical tactile sensor images, while information-rich, lack interpretability and cross-sensor transferability, limiting their real-world u…