Generalized collision
API · /birthdayparadox-api
Birthday Paradox API
salutare
4,858 Abbonati
Birthday-paradox and collision-probability maths as an API, computed locally and deterministically. The probability endpoint computes the chance that at least two of n people share a birthday among d equally likely days, P = 1 − Π(1 − i/d), evaluated in log space for accuracy — the famous result that just 23 people give about a 50.7 % chance, 50 people about 97 % and 70 people about 99.9 %. The people-needed endpoint inverts it: the smallest group size to reach a target probability (23 for 50 %, 57 for 99 %), with the √(2·d·ln(1/(1−p))) approximation. The collision endpoint generalises the birthday bound to any space — pass a number of buckets or a hash size in bits — and returns the collision probability P ≈ 1 − e^(−n²/2d), the rule behind hash collisions and UUID-uniqueness estimates, where a 50 % chance needs roughly 1.177·√d items. Days and buckets default to 365. Everything is computed locally and deterministically, so it is instant and private. Ideal for probability-education, security, cryptography, hashing, data-engineering and statistics app developers, collision-risk and birthday-problem tools, and teaching material. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the birthday/collision probability; for full distributions use a probability API.
api.oanor.com/birthdayparadox-api
API salute
salutare- Tempo di attività
- 100.00%
- Sondaggi del server · 24 ore su 24
- Latenza media
- 80 ms
- Sondaggi del server · 24 ore su 24
- Abbonati
- 4,858
- attiva
- Chiamate totali
- 76
- ultimi 7 giorni
Prezzi
Scegli un livello: fatturazione mensile, annullamento in qualsiasi momento.
Free
Gratis
- 5,050 chiamate/mese
- 2 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 5,050 calls/month
- 2 req/sec
- Probability + people-needed + collision
- No credit card
Starter
€4.05 /mese
- 50,500 chiamate/mese
- 6 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 50,500 calls/month
- 6 req/sec
- Custom day/bucket space, hash bits
- Email support
Pro
€11.30 /mese
- 232,000 chiamate/mese
- 15 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 232,000 calls/month
- 15 req/sec
- Hash-collision & teaching pipelines
- Priority support
Mega
€37.00 /mese
- 1,295,000 chiamate/mese
- 40 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 1,295,000 llamadas/mes
- 40 req/seg
- Escalabilidad de plataforma
- SLA dedicado
Costruito da
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Momentum & Collision API
Linear momentum, impulse and one-dimensional collisions as an API, computed locally and deterministically. The momentum endpoint computes the linear momentum p = m·v of a moving body, with its kinetic energy, and solves for whichever of the mass, velocity or momentum you leave out. The impulse endpoint applies the impulse-momentum theorem, J = F·Δt = m·Δv = Δp: from a force and a time it gives the impulse and, with a mass, the change in velocity; or from a mass and a velocity change it gives the impulse and the average force over a contact time — the physics of a bat hitting a ball or an airbag softening a crash. The collision endpoint solves a head-on collision between two bodies using conservation of momentum and a coefficient of restitution: e = 1 for a perfectly elastic collision (kinetic energy conserved), e = 0 for a perfectly inelastic one (the bodies stick together), or any value between for a partially inelastic collision — returning both final velocities, the conserved total momentum, the kinetic energy before and after, and the energy lost. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education and simulation tools, game and ballistics engines, vehicle-crash and sports apps, and engineering-dynamics software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is linear momentum and collisions; for rotational angular momentum and flywheel energy use a flywheel API.
api.oanor.com/momentum-api
Lottery Odds API
Lottery combinatorics as an API, computed locally and deterministically and exactly — the real odds behind a ticket, the maths the jackpot poster never shows. The odds endpoint gives the jackpot odds of a pick-N game as the number of possible tickets, C(pool, picks), times the bonus-ball pool if there is one: a 6/49 game is 1 in 13,983,816, a 5/69-plus-1/26 Powerball-style game is 1 in 292,201,338, and every single line is equally unlikely. The match-odds endpoint gives the chance of matching exactly k of the main numbers — a prize tier — from the hypergeometric formula C(picks, k)·C(pool−picks, picks−k) ÷ C(pool, picks), so matching 3 of 6 in a 6/49 game is about 1 in 57. The expected-value endpoint turns a jackpot and ticket price into the expected value and the break-even jackpot (price × the odds), the threshold a jackpot must clear before a ticket is even theoretically worth it — before a shared jackpot, lump-sum and tax pull it back under. Everything is computed locally and deterministically, so it is instant and exact. Ideal for lottery and odds apps, gambling-education and responsible-play tools, probability teaching, and game back-ends. Pure local computation — no key, no third-party service, instant. Exact combinatorics. Live, nothing stored. 3 compute endpoints. Educational — not gambling advice; the odds are always against you.
api.oanor.com/lottery-api
Roulette Odds API
Roulette-Odds-Mathematik als API, lokal und deterministisch und exakt berechnet – die Auszahlung, die wahre Wahrscheinlichkeit und der Hausvorteil hinter jeder Wette, die Zahlen, die Ihnen ein faires Spiel verrät und die ein Casino lieber ignorieren würde. Der Auszahlungs-Endpoint gibt die Auszahlung einer Wette, die Gewinnzahlen, die Gewinnwahrscheinlichkeit und den Hausvorteil für ein europäisches (Single-Zero) oder amerikanisches (Double-Zero) Rad aus: Eine einfache Zahl zahlt 35 zu 1, gewinnt aber nur 1 von 37, ein Vorteil von 2,70 % europäisch oder 5,26 % amerikanisch, bei fast jeder Wette gleich, weil die Auszahlung die Nullen einfach ignoriert. Der Expected-Value-Endpoint wandelt einen Einsatz in seinen Erwartungswert um – Einsatz × (Gewinnwahrscheinlichkeit × (Auszahlung + 1) − 1), immer negativ und gleich minus Einsatz mal Hausvorteil – also €10 auf eine einzelne Zahl auf einem europäischen Rad sind −€0,27 pro Drehung wert. Der Martingale-Endpoint legt das Verdopplungssystem offen: total riskiert = Basis × (2^Schritte − 1), der Einsatz, der nach einer Verlustserie explodiert, und die Pleite-Wahrscheinlichkeit – Beweis der Mathematik, dass keine Progression die Null schlägt. Alles wird lokal und deterministisch berechnet, also ist es sofort und exakt. Ideal für Casino-Spiel- und Odds-Apps, Glücksspiel-Bildungs- und verantwortungsvolle Spiel-Tools, Game-Design-Backends und Wahrscheinlichkeitslehre. Reine lokale Berechnung – kein Key, kein Drittanbieter-Service, sofort. Live, nichts gespeichert. 3 Compute-Endpoints. Lehrreich – kein Wettberatung; das Haus gewinnt langfristig immer.
api.oanor.com/roulette-api
Dice Probability API
Tabletop dice-probability maths as an API, computed locally and deterministically and exactly — the odds behind the rolls, not the rolls themselves. The advantage endpoint gives the D&D-style chances of beating a target on a d20 (or any die) rolling normally, with advantage (roll twice, keep the higher) or with disadvantage (keep the lower): needing an 11+ is 50 % normally, 75 % with advantage and 25 % with disadvantage, and it reports the average roll — advantage lifts a d20 from 10.5 to about 13.8. The pool endpoint handles success-counting systems (World of Darkness, Shadowrun): for a pool of dice that succeed on a face at or above a threshold it gives the chance per die, the expected number of successes and the exact binomial probability of getting exactly, or at least, a target number — six d10s succeeding on 7+ average 2.4 successes with a 45.6 % chance of three or more. The exploding endpoint gives the mean of an exploding ("acing", open-ended) die that re-rolls and adds on its maximum face — a d6 averages 4.2 instead of 3.5. Everything is computed locally and deterministically, so it is instant and private. Ideal for tabletop, virtual-tabletop, game-design and TTRPG app developers, odds-and-probability helpers, and game-master tools. Pure local computation — no key, no third-party service, instant. Exact maths, no simulation. Live, nothing stored. 3 compute endpoints. For random rolls use a dice-roller API.
api.oanor.com/dicepool-api
Domande frequenti
Risposte rapide su prezzi, quote e integrazione.
Come ottengo una chiave API per Birthday Paradox API?
Registrati gratuitamente su oanor.com, genera una chiave API dalla dashboard sviluppatore e chiama Birthday Paradox API con l'header x-oanor-key. Nessuna carta di credito richiesta per il piano gratuito.
Qual è il limite di velocità di Birthday Paradox API?
Il piano gratuito consente 1 richiesta al secondo. I piani a pagamento arrivano fino a 50 richieste al secondo nel piano Mega. I limiti rigorosi restituiscono HTTP 429 oltre la quota — nessuna spesa imprevista.
Quanto costa Birthday Paradox API?
Birthday Paradox API ha un piano gratuito con 100 chiamate / mese. I piani a pagamento partono da €4.05 / mese con quote più alte e limiti di velocità più rapidi.
Posso cancellare l'abbonamento in qualsiasi momento?
Sì. I piani sono fatturati mensilmente e puoi cancellare in qualsiasi momento dalla dashboard di fatturazione. Nessun contratto a lungo termine e nessuna penale di cancellazione.
Birthday Paradox API è conforme al GDPR?
Tutte le richieste a Birthday Paradox API passano attraverso il nostro gateway in UE. La tua chiave upstream non lascia mai il nostro server e nessun dato personale viene condiviso con il fornitore upstream oltre alla richiesta inviata.
Scegli un endpoint dall'elenco a sinistra per visualizzarne i dettagli e provarlo.
Frammenti di codice
Iscriviti per ottenere una chiave API, quindi chiama qualsiasi percorso sotto il tuo slug.
curl https://api.oanor.com/birthdayparadox-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."const res = await fetch("https://api.oanor.com/birthdayparadox-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();$ch = curl_init("https://api.oanor.com/birthdayparadox-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);import requests
r = requests.get(
"https://api.oanor.com/birthdayparadox-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())Valutazioni
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