RECORD
Coin Toss Modeling
Popular Physics · Submitted 17 Dec 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Unbiased probabilities of heads and tails are obtained for various initial conditions accessible to a usual person.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The torque-free motion of rigid body in gravitational field is analyzed. The coin lands on a soft surface (such as the palm of the hand) that allows no bouncing. The model assumes the coin as a rigid body with constant angular momentum vector in the body frame, and no air resistance. Unbiased probabilities of heads and tails are obtained for various initial conditions accessible to a usual person.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The torque-free motion of rigid body in gravitational field is analyzed. | contribution 0.53 | 0.70 | 0.05 | asserted 0.98 |
| s1 | The coin lands on a soft surface (such as the palm of the hand) that allows no bouncing. | method 0.93 | 0.27 | 0.03 | asserted 0.98 |
| s2 | The model assumes the coin as a rigid body with constant angular momentum vector in the body frame, and no air resistance. | method 1.00 | 0.39 | 0.05 | asserted 0.99 |
| s3 | Unbiased probabilities of heads and tails are obtained for various initial conditions accessible to a usual person. | result 1.00 | 0.86 | 0.83 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v4
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The torque-free motion of rigid body in gravitational field is analyzed. The coin lands on a soft surface (such as the palm of the hand) that allows no bouncing. The model assumes the coin as a rigid body with constant angular momentum vector in the body frame, and no air resistance. Unbiased probabilities of heads and tails are obtained for various initial conditions accessible to a usual person.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.