WikiCards
Play on iPhone nowFree in Safari. Add it to your Home Screen.Play
WikiCards · Card list · Science cards · Boltzmann distribution
Uncommon card · Science
Boltzmann distribution, an Uncommon card
In statistical mechanics and mathematics, a Boltzmann distribution is a probability distribution or probability measure that gives the probability that a system will be in a certain state as a function of that state's energy and the temperature of the system.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 65
- DEF
- 35
- Power
- 100
- Wikipedia reads a year
- 100,000
Power 100 (ATK + DEF): stronger than 55 % of WikiCards cards.
Boltzmann distribution quiz: 3 questions
Three questions on the Boltzmann distribution card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Therefore, the Boltzmann distribution can be used to solve a wide variety of ______.
Answer
problems. Therefore, the Boltzmann distribution can be used to solve a wide variety of problems. From the Boltzmann distribution article on Wikipedia.
Which of these Wikipedia articles is read the most in a year?
Answer
Bortle scale. Bortle scale 140,000 · Boltzmann distribution 100,000 · Senckenberg Museum for Natural History Görlitz 530 · Elias G. Brown 140 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- The distribution is expressed in the form p i ∝ exp , where pi is the probability of the system being in state i, exp is the exponential function, εi is the energy of that state, and a constant kBT of the distribution is the product of the Boltzmann constant kB and thermodynamic temperature T. The symbol ∝ denotes proportionality.
- The term system here has a wide meaning, it can range from a collection of "sufficient number" of atoms or a single atom to a macroscopic system such as a natural-gas storage tank.
- Therefore, the Boltzmann distribution can be used to solve a wide variety of problems.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Boltzmann distribution article was read about 100,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 65 and blocks with 35: each hit it takes is cut by 14 %.
How to get Boltzmann distribution
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Boltzmann distribution in the power ranking, all domains together.
- Brian HarveyUncommon · Arts · ATK 60 DEF 40
- BucephalusUncommon · Nature · ATK 57 DEF 43
- Hemispheres of EarthUncommon · Society · ATK 54 DEF 46
- LuminosityUncommon · Science · ATK 66 DEF 34
- Bridge of SighsUncommon · Arts · ATK 57 DEF 43
- Cauchy sequenceUncommon · Science · ATK 65 DEF 35
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Boltzmann distribution (revision), CC BY-SA 4.0. Photo : sonium, CC BY-SA 4.0, Wikimedia Commons.
