API Marketplace

Electrochemistry maths as an API, computed locally and deterministically. The nernst endpoint applies the Nernst equation, E = E° − (R·T/nF)·ln Q, to give the actual electrode or cell potential under non-standard conditions from the standard potential E°, the number of electrons transferred n, the reaction quotient Q and the temperature — at 25 °C this reduces to E = E° − (0.05916/n)·log10 Q, and a larger Q (more product) lowers the potential. The cell-potential endpoint computes a galvanic cell's standard EMF from the cathode and anode standard reduction potentials, E°cell = E°cathode − E°anode, together with the standard Gibbs free energy ΔG° = −nF·E°cell and whether the reaction is spontaneous. The equilibrium endpoint computes the equilibrium constant of a redox reaction, K = exp(nF·E°cell / RT), and the corresponding ΔG°, from the standard cell potential and the electrons transferred. Potentials are in volts, energies in kJ/mol, the Faraday constant is 96485 C/mol and the gas constant 8.314 J/mol·K. Everything is computed locally and deterministically, so it is instant and private. Ideal for chemistry-education, battery, corrosion, electroplating and electroanalytical app developers, galvanic-cell and redox tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is electrochemistry; for acid-base pH use a pH API and for reaction-rate kinetics an Arrhenius API.

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73ms

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4,664

Moist-air (psychrometric) thermodynamics as an API, computed locally and deterministically. The dewpoint endpoint computes the dew-point temperature and the saturation and actual water-vapour pressures from a dry-bulb temperature and relative humidity, using the Magnus-Tetens relation over water, es = 6.112·exp(17.62·T/(243.12+T)) hPa — the dew point is the temperature to which air must cool for water vapour to start condensing. The humidity-ratio endpoint computes the humidity ratio (mixing ratio) W = 0.621945·Pw/(P−Pw), the specific and absolute humidity, the vapour pressure and the moist-air enthalpy h = 1.006·T + W·(2501 + 1.86·T) kJ per kg of dry air, at any total pressure (default sea-level 101325 Pa). The wet-bulb endpoint computes the wet-bulb temperature with the Stull (2011) empirical fit and the wet-bulb depression, the gap between dry- and wet-bulb that widens as the air gets drier. Temperatures are in °C, relative humidity in %, pressures in Pa. Everything is computed locally and deterministically, so it is instant and private. Ideal for HVAC, building-physics, meteorology, drying, greenhouse and data-centre-cooling app developers, comfort and condensation-risk tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is moist-air psychrometrics; for ASHRAE ventilation airflow use a ventilation API, for the WBGT heat-stress index a WBGT API and for the standard atmosphere an atmosphere API.

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75ms

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4,556

Matemáticas de tensión superficial y física de fluidos a pequeña escala como una API, calculadas local y determinísticamente. El endpoint de ascenso capilar aplica la ley de Jurin, h = 2γ·cosθ / (ρ·g·r), para dar la altura que un líquido asciende (o, para un ángulo de contacto superior a 90° como el mercurio, desciende) en un tubo estrecho a partir de su tensión superficial, el radio del tubo, la densidad del líquido y el ángulo de contacto — y puede resolver la tensión superficial a partir de un ascenso medido. El endpoint de presión de Laplace calcula la presión de exceso de Young-Laplace a través de una interfaz curva: una gota líquida ΔP = 2γ/r, una burbuja de jabón ΔP = 4γ/r (dos superficies) y un chorro cilíndrico ΔP = γ/r. El endpoint de Poiseuille aplica la ley de Hagen-Poiseuille, Q = π·r⁴·ΔP / (8·μ·L), para flujo laminar en una tubería, devolviendo el caudal volumétrico, la velocidad media y la velocidad máxima en el centro (el doble de la media) a partir del radio, la caída de presión, la viscosidad del fluido y la longitud. La tensión superficial está en N/m, las longitudes en m, la densidad en kg/m³, la viscosidad en Pa·s y las presiones en Pa; el agua tiene γ ≈ 0.0728 N/m a 20 °C. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de microfluídica, ingeniería de fluidos, laboratorio en un chip, inyección de tinta y recubrimientos, herramientas de acción capilar y mechas, y educación en física. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es tensión superficial y capilaridad; para flujo de Bernoulli incompresible use una API de Bernoulli y para fricción en tuberías una API de Darcy.

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77ms

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3,409

Nuclear-physics maths as an API, computed locally and deterministically. The binding-energy endpoint computes a nucleus's mass defect, Δm = Z·m_H + N·m_n − M_atom, and its binding energy E = Δm·c² (1 u = 931.494 MeV) and binding energy per nucleon, from the proton and neutron counts and the measured atomic mass. The semf endpoint estimates the binding energy from the semi-empirical (Bethe-Weizsäcker) mass formula, breaking it into the volume, surface, Coulomb, asymmetry and pairing terms, from just the mass number and proton number. The q-value endpoint computes the energy released or absorbed in a nuclear reaction from the masses of the reactants and products, Q = (Σm_reactants − Σm_products)·c², classifying it as exothermic (fusion of light nuclei or fission of heavy ones) or endothermic. Masses are in atomic mass units and energies in MeV and joules. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education, nuclear-engineering, astrophysics and science app developers, reactor and reaction tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is nuclear binding and reactions; for radioactive decay use a half-life API and for atomic energy levels a quantum API.

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77ms

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3,407

Matemáticas de física cuántica y atómica como API, calculadas local y determinísticamente. El endpoint fotoeléctrico aplica la ecuación fotoeléctrica de Einstein, KE = hf − φ — a partir de la longitud de onda o frecuencia de la luz incidente y la función de trabajo de un metal, proporciona la energía del fotón, si se emiten electrones, su energía cinética máxima, la frecuencia y longitud de onda umbral (f₀ = φ/h), la velocidad máxima del electrón y el voltaje de frenado. El endpoint bohr calcula el nivel de energía del modelo de Bohr Eₙ = −13.606·Z²/n² eV y el radio orbital rₙ = 0.529·n²/Z Å de un átomo similar al hidrógeno, la energía de ionización y — dado un segundo nivel — la longitud de onda del fotón emitido o absorbido. El endpoint rydberg calcula la longitud de onda de una línea espectral a partir de la fórmula de Rydberg, 1/λ = R·Z²·(1/n₁² − 1/n₂²), y nombra su serie (Lyman, Balmer, Paschen …) y región espectral. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de educación en física, espectroscopía, astronomía y ciencia, herramientas de física atómica y espectral, y enseñanza STEM. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es física cuántica y atómica; para longitud de onda electromagnética y energía de fotones use una API de longitud de onda y para relatividad especial use una API de relatividad.

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82ms

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4,948

Betting-odds maths as an API, computed locally and deterministically. The convert endpoint translates a price between every format used by bookmakers — decimal (European), fractional (UK), American (moneyline) and the implied probability — give it any one and it returns all the others, with the implied probability that the odds represent (1 ÷ decimal). The payout endpoint computes the profit and total return for a stake at given decimal or American odds. The parlay endpoint combines several decimal-odds selections into one accumulator by multiplying them, returning the combined odds, the implied probability and the payout for a stake — every leg must win, so the payout grows fast while the probability shrinks. Decimal odds are the total return per unit staked, American odds are at least +100 for an underdog or −100 or lower for a favourite, and fractional odds look like 5/2. Everything is computed locally and deterministically, so it is instant and private. Ideal for sports-betting, fantasy, odds-comparison and gaming app developers, bet-slip and value tools, and probability education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is odds conversion; for probability distributions use a probability API.

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75ms

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4,545

Isentropic compressible-flow (gas-dynamics) maths as an API, computed locally and deterministically. The isentropic endpoint gives the stagnation-to-static ratios of a perfect gas from a Mach number and the heat-capacity ratio γ (1.4 for air): the temperature ratio T0/T = 1 + (γ−1)/2·M², the pressure ratio p0/p = (T0/T)^(γ/(γ−1)), the density ratio and the area ratio A/A* relative to the sonic throat, and classifies the flow as subsonic, sonic or supersonic. The stagnation endpoint turns a static temperature and pressure plus a Mach number into the stagnation (total) conditions, the speed of sound a = √(γRT) and the flow velocity. The mach endpoint inverts the relations, solving the Mach number from a pressure, temperature or area ratio — an area ratio gives both the subsonic and supersonic roots — or from a velocity and temperature. Everything is computed locally and deterministically, so it is instant and private. Ideal for aerospace, propulsion, nozzle-design and wind-tunnel app developers, supersonic-flow and ducting tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is compressible isentropic flow; for the standard atmosphere use an atmosphere API and for incompressible Bernoulli flow a Bernoulli API.

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80ms

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3,826

Capacitor maths as an API, computed locally and deterministically. The energy endpoint computes the stored energy and charge of a capacitor from any two of the capacitance, the voltage and the charge — E = ½CV² = ½QV and Q = CV — in joules, millijoules and coulombs. The charging endpoint models the RC charging and discharging transient: the time constant τ = RC, the voltage at a given time, V(t) = Vs(1 − e^(−t/RC)) when charging or V(t) = V₀·e^(−t/RC) when discharging, and the percent charged, or — given a target voltage — the time to reach it; a capacitor reaches about 63 % of the way in one time constant and over 99 % in five. The combination endpoint computes the total capacitance of capacitors in series (1/C = Σ1/Cᵢ) or parallel (C = ΣCᵢ). Capacitance accepts farads or the handy µF/nF/pF units. Everything is computed locally and deterministically, so it is instant and private. Ideal for electronics, maker, embedded and circuit-design app developers, power-supply and timing tools, and electronics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is capacitor maths; for AC reactance and resonance use a resonance API and for LED resistor sizing an LED-resistor API.

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80ms

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3,975

Fixed-income bond maths as an API, computed locally and deterministically. The price endpoint computes a bond's price from its face value, coupon rate, yield to maturity, years to maturity and coupon frequency — Price = Σ coupon/(1+y)ᵗ + face/(1+y)ⁿ with y the periodic yield — and reports the clean price as a percent of par, the annual coupon, the current yield and whether the bond trades at a premium, discount or par. The yield endpoint inverts this, solving for the yield to maturity that matches a given market price by bisection, with the current yield. The duration endpoint computes the Macaulay duration (the cash-flow-weighted average time), the modified duration (which approximates the percent price change per 1 % yield move), the convexity and the DV01 (the price change per basis point). A zero-coupon bond is just coupon rate 0. Everything is computed locally and deterministically, so it is instant and private. Ideal for fintech, fixed-income, treasury and portfolio app developers, bond-analytics and risk tools, and finance education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is bond analytics; for option pricing use an options API and for NPV and IRR an NPV API.

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76ms

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3,011

Black-Scholes option-pricing maths as an API, computed locally and deterministically. The black-scholes endpoint prices European call and put options from the spot price, strike, time to expiry, risk-free rate, volatility and an optional dividend yield — Call = S·e^(−qT)·Φ(d1) − K·e^(−rT)·Φ(d2) — returning both prices, the intermediate d1 and d2, and the put-call parity figure. The greeks endpoint computes the full set of option sensitivities for the call and the put: delta, gamma, theta (per year and per day), vega and rho, the quantities traders use to hedge and manage risk. The implied-volatility endpoint inverts the model, solving by bisection for the volatility that reproduces a given option market price. Rates, volatilities and dividend yields are decimals (0.05 = 5 %) and time to expiry is in years. Everything is computed locally and deterministically, so it is instant and private. Ideal for fintech, trading, quantitative-finance and derivatives app developers, options analytics and risk tools, and finance education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is options pricing; for NPV and IRR use an NPV API and for CAGR and real returns an investment API.

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79ms

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4,647

Matemática geotécnica de fundações como uma API, computada local e deterministicamente. O endpoint de fatores calcula os fatores de capacidade de carga Nc, Nq e Nγ de Terzaghi/Vesic a partir do ângulo de atrito do solo — Nq = e^(π·tanφ)·tan²(45+φ/2), Nc = (Nq−1)·cotφ e Nγ = 2(Nq+1)·tanφ. O endpoint de capacidade de carga calcula a capacidade de carga última, líquida e admissível de uma sapata corrida, quadrada ou circular a partir da coesão, ângulo de atrito, peso específico do solo, largura da sapata e profundidade de assentamento, qu = sc·c·Nc + γ·D·Nq + sγ·γ·B·Nγ, dividindo-a em seus componentes de coesão, sobrecarga e peso próprio e dividindo por um fator de segurança (padrão 3) para o valor admissível. O endpoint de recalque calcula o recalque elástico imediato de uma sapata, s = q·B·(1−ν²)·I / E, a partir da pressão aplicada, largura da sapata, módulo de elasticidade do solo e coeficiente de Poisson. Coesão e pressões estão em quilopascais, peso específico em kN/m³ e comprimentos em metros. Tudo é computado local e deterministicamente, portanto é instantâneo e privado. Ideal para desenvolvedores de aplicativos de engenharia civil, geotecnia, projeto de fundações e construção, ferramentas de dimensionamento de sapatas e viabilidade, e educação em engenharia. Computação puramente local — sem chave, sem serviço de terceiros, instantâneo. Ao vivo, nada armazenado. 3 endpoints. Isto é capacidade de carga de fundações; para pressão lateral de terra em muros, use uma API de pressão de terra e para fluxo em canal aberto, uma API de Manning.

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73ms

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3,266

Printed-circuit-board design maths as an API, computed locally and deterministically. The trace-width endpoint applies the IPC-2221 standard to find the minimum copper trace width for a current and an allowable temperature rise, A = (I/(k·ΔT^0.44))^(1/0.725) with k = 0.048 for outer layers and 0.024 for inner, returning the cross-section and the width in mils and millimetres for a given copper weight. The trace-resistance endpoint computes a trace's resistance from its width, length and copper thickness, R = ρ·L/(W·t), with the copper temperature coefficient, and — given a current — the voltage drop and power dissipation. The microstrip endpoint computes the characteristic impedance of a microstrip line by the Hammerstad model from the trace width, the dielectric height and the dielectric constant (about 4.5 for FR4), with the effective permittivity and propagation delay for controlled-impedance routing. Everything is computed locally and deterministically, so it is instant and private. Ideal for electronics, hardware, embedded and PCB-design app developers, board-layout and signal-integrity tools, and electronics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is PCB design; for resistor colour codes use a resistor API and for general Ohm's-law maths an Ohm's-law API.

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80ms

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3,174

Homebrewing maths as an API, computed locally and deterministically. The abv endpoint computes the alcohol by volume from the original and final gravity — both the simple (OG − FG)·131.25 estimate and a more accurate high-gravity formula — along with the apparent and real attenuation and the calories per 12 oz serving. The gravity endpoint converts freely between specific gravity, degrees Plato and Brix (the three ways brewers and winemakers measure dissolved sugar) and reports the gravity points. The ibu endpoint computes hop bitterness in International Bitterness Units by the Tinseth formula from the hop alpha-acid percentage, the weight, the boil time, the batch volume and the wort gravity, returning the utilization and the alpha-acid concentration too. Gravities are specific gravity such as 1.050, hop weight in grams, boil time in minutes and volume in litres. Everything is computed locally and deterministically, so it is instant and private. Ideal for homebrew, craft-beer, cidery and winemaking app developers, recipe and batch tools, and brewing education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is brewing maths; for a brewery directory use a beer API and for coffee brew ratios a coffee API.

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79ms

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4,215

Population-genetics maths as an API, computed locally and deterministically. The hardy-weinberg endpoint applies the Hardy-Weinberg principle, p² + 2pq + q² = 1 — give a dominant allele frequency p, a recessive q, or the homozygous-recessive (affected) frequency q² and it returns all the allele and genotype frequencies, including the carrier frequency 2pq. The punnett endpoint crosses two parent genotypes and returns the offspring genotype and phenotype ratios, handling a single gene (a monohybrid 1:2:1 / 3:1 cross), two genes (a dihybrid 9:3:3:1 cross) and up to four genes by independent assortment. The carrier endpoint takes the incidence of a recessive disease — as a fraction or one-in-N — and returns the recessive allele frequency q = √incidence, the carrier frequency 2pq, the one-in-N carrier rate and, for a given population, the expected number of carriers and affected individuals. Everything is computed locally and deterministically, so it is instant and private. Ideal for genetics-education, genetic-counselling, breeding and biology app developers, inheritance and risk tools, and biology teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is population genetics; for DNA sequence analysis use a DNA API.

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73ms

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3,334

Classifier-evaluation maths as an API, computed locally and deterministically. The confusion endpoint turns the four cells of a binary confusion matrix — true and false positives and negatives — into the full metric suite: accuracy, precision, recall (sensitivity), specificity, the F1 score, the Matthews correlation coefficient (robust to class imbalance), balanced accuracy, negative predictive value, the false-positive and false-negative rates and the prevalence. The diagnostic endpoint applies Bayes' theorem to a medical or screening test: from its sensitivity, specificity and the prevalence (pre-test probability) it gives the positive and negative predictive values, the positive and negative likelihood ratios and the diagnostic odds ratio. The fbeta endpoint computes the Fβ score from precision and recall (or from the raw counts) for any β — β = 1 is F1, larger β weights recall, smaller β weights precision. Metrics whose denominator is zero are returned as null rather than erroring. Everything is computed locally and deterministically, so it is instant and private. Ideal for machine-learning, data-science, medical-testing and analytics app developers, model-evaluation and screening tools, and statistics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is classifier evaluation; for descriptive statistics and regression use a statistics API and for hypothesis tests an inference API.

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77ms

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3,340

Matemática de análise de sequências de DNA/RNA como uma API, computada local e deterministicamente. O endpoint analyze relata o comprimento e a composição de bases de uma sequência, o conteúdo GC e AT, o complemento, o reverso e o complemento reverso (a fita oposta lida 5'→3'), e o peso molecular aproximado de fita simples. O endpoint translate transcreve DNA para mRNA (T→U) e o traduz para proteína com o código genético padrão no quadro de leitura 1, 2 ou 3, fornecendo a sequência de aminoácidos em código de uma letra, o comprimento da proteína e o número de códons de parada. O endpoint melting estima a temperatura de melting de um primer com a regra de Wallace, 4·(G+C) + 2·(A+T), para oligonucleotídeos curtos e uma fórmula básica ajustada por sal para os mais longos. As sequências são insensíveis a maiúsculas/minúsculas e espaços em branco e aceitam A, C, G, T para DNA ou U para RNA. Tudo é computado local e deterministicamente, portanto é instantâneo e privado. Ideal para bioinformática, biologia molecular, genômica e desenvolvedores de aplicativos de laboratório, ferramentas de design de primers e inspeção de sequências, e educação em biologia. Computação puramente local — sem chave, sem serviço de terceiros, instantâneo. Ao vivo, nada armazenado. 3 endpoints. Esta é análise de sequência; para dados de montagem de genoma, use uma API de genomas.

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81ms

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4,580

Internal-combustion engine maths as an API, computed locally and deterministically. The displacement endpoint computes an engine's swept volume from the bore, the stroke and the number of cylinders, V = (π/4)·bore²·stroke per cylinder, in cubic centimetres, litres and cubic inches, and classifies the bore-to-stroke geometry as oversquare, square or undersquare. The compression endpoint relates the compression ratio and the clearance volume, CR = (swept + clearance)/clearance — give the clearance to get the ratio or the ratio to get the clearance — and, with a boost pressure, estimates the effective compression ratio of a forced-induction engine. The power-to-weight endpoint computes the power-to-weight ratio in horsepower per tonne, kilowatts per tonne and watts per kilogram, the weight per horsepower, and, with a displacement, the specific output in horsepower per litre. Bore and stroke are in millimetres, volumes in cc, weight in kilograms and power in horsepower or kilowatts. Everything is computed locally and deterministically, so it is instant and private. Ideal for automotive, motorsport, motorcycle and engine-builder app developers, build-spec and tuning tools, and mechanical education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is engine geometry and tuning; for EPA fuel-economy data use a fuel-economy API and for tyre sizes a tyre-calculator API.

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75ms

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4,398

Gaussian-beam laser-optics maths as an API, computed locally and deterministically. The beam endpoint propagates a Gaussian beam from its wavelength and waist radius: the Rayleigh range z_R = π·w₀²/λ and depth of focus, the divergence half- and full-angle θ = λ/(π·w₀), and — for a given distance — the beam radius and diameter w(z) = w₀·√(1+(z/z_R)²); an optional M² beam-quality factor scales it for real beams. The focus endpoint computes the diffraction-limited focused spot of a lens, w_f = λ·f/(π·w_in), with the depth of focus and the f-number, so you can size the spot a lens will deliver. The irradiance endpoint turns a beam power and spot size into the beam area and the average and on-axis peak irradiance (power density) in W/m² and W/cm². Wavelengths are in nanometres, sizes in millimetres or micrometres, distances in metres and power in watts. Everything is computed locally and deterministically, so it is instant and private. Ideal for photonics, laser-engineering, materials-processing and optics app developers, beam-delivery and laser-safety tools, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is Gaussian-beam laser optics; for refraction use a Snell API and for thin-lens imaging a lens API.

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83ms

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4,792

Modular-arithmetic maths as an API, computed locally and deterministically with exact big-integer arithmetic. The power endpoint computes modular exponentiation, aᵇ mod m, by square-and-multiply, fast and exact even for the huge exponents used in cryptography. The inverse endpoint finds the modular multiplicative inverse a⁻¹ mod m with the extended Euclidean algorithm, returning the inverse when a and m are coprime and reporting the gcd when no inverse exists. The totient endpoint computes Euler's totient φ(n) — the count of integers from 1 to n coprime to n — with the prime factorization it comes from, and an optional Euler-theorem check that a^φ(n) ≡ 1 (mod n) for a coprime base. These are the building blocks of RSA and much of modern cryptography. Inputs are integers and can be passed as strings for very large values. Everything is computed locally and deterministically, so it is instant and private. Ideal for cryptography, security, blockchain and mathematics app developers, RSA and number-theory tools, and computer-science education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is modular arithmetic; for prime factorization and GCD use a number-theory API and for integer sequences a sequences API.

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78ms

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4,017

Discounted-cash-flow investment-appraisal maths as an API, computed locally and deterministically. The npv endpoint computes the net present value of a project from an upfront outlay, a series of future net cash flows and a discount rate, NPV = −initial + Σ CFₜ/(1+r)ᵗ, and reports the present value of the inflows, the profitability index and a plain accept-or-reject decision. The irr endpoint solves the internal rate of return — the discount rate that makes the NPV zero — by robust bisection over the cash flows, the figure you compare against a hurdle rate. The payback endpoint computes both the simple payback period, when the cumulative cash flow first recovers the outlay, and the discounted payback period, which discounts each flow first. Cash flows are passed as a comma-separated list, one per period. Everything is computed locally and deterministically, so it is instant and private. Ideal for finance, corporate, fintech and project-management app developers, capital-budgeting and feasibility tools, and finance education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is capital budgeting; for loan amortization use a loan API and for CAGR and real returns an investment API.

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81ms

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3,033

Gas-mixture maths as an API, computed locally and deterministically. The partial-pressure endpoint applies Dalton's law — give a list of component partial pressures and it sums them to the total and returns each gas's mole fraction; or give a total pressure and a mole fraction to get a partial pressure; or component and total moles to get a mole fraction (and a partial pressure when a total pressure is supplied). The mole-fraction endpoint takes the moles of each component and returns every mole fraction and, with a total pressure, the partial pressures; supply the molar masses too and it adds the mass fractions and the average molar mass of the mixture. The effusion endpoint applies Graham's law, rate₁/rate₂ = √(M₂/M₁), to compare how fast two gases effuse or diffuse from their molar masses, naming the faster gas and the time ratio. Everything is computed locally and deterministically, so it is instant and private. Ideal for chemistry-education, laboratory, process and scuba app developers, gas-blending and stoichiometry tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is gas-mixture maths; for the ideal-gas law of a single gas use a gas-law API and for molar mass from a formula a molar-mass API.

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81ms

Abbonati

3,830

Ventilation and airflow maths as an API, computed locally and deterministically. The air-changes endpoint relates the air changes per hour, the airflow in CFM and the room volume — ACH = CFM × 60 ÷ volume — and solves whichever you leave out (the volume can be given directly or as length × width × height), reporting the airflow in cubic metres per hour too. The required-cfm endpoint applies the ASHRAE 62.1 breathing-zone rule, outdoor airflow = people × Rp + floor area × Ra, with sensible office defaults (5 CFM per person and 0.06 CFM per square foot), to size the fresh-air a space needs. The duct-velocity endpoint computes the air velocity in a round or rectangular duct from the flow and the duct size, V = CFM ÷ area, in feet per minute, metres per second and miles per hour, with guidance on whether it is in the quiet residential or noisier high-velocity range. Everything is computed locally and deterministically, so it is instant and private. Ideal for HVAC, building-services, indoor-air-quality and facilities app developers, ventilation-sizing and duct-design tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is ventilation and airflow; for heating and cooling load sizing use an HVAC API.

Tempo di attività

100.0%

Latenza

74ms

Abbonati

3,404

Anthropometric body-metrics maths as an API, computed locally and deterministically. The body-surface-area endpoint computes the body surface area in square metres from height and weight by five established formulas — Mosteller √(height·weight/3600), DuBois, Haycock, Gehan-George and Boyd — with their average, the figure used for chemotherapy dosing and cardiac index. The lean-mass endpoint estimates lean body mass from height, weight and sex by the Boer, James and Hume formulas, with the fat mass and body-fat percent that follow. The waist-ratio endpoint computes the waist-to-hip ratio (fat distribution) and the waist-to-height ratio — where keeping your waist under half your height is the simple healthy rule — with WHO-style risk bands. Heights and circumferences are in centimetres, weight in kilograms. Everything is computed locally and deterministically, so it is instant and private. Ideal for health, fitness, clinical, telemedicine and wellness app developers, body-composition and dosing tools, and health education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is body surface area, lean mass and waist ratios; for BMI, body fat and ideal weight use a BMI API and for BMR and TDEE a BMR API.

Tempo di attività

100.0%

Latenza

81ms

Abbonati

3,117

Matemáticas de magnitud y distancia estelar como una API, calculadas local y determinísticamente. El endpoint de magnitud aplica el módulo de distancia, m − M = 5·log₁₀(d/pc) − 5 — proporciona dos de los siguientes: magnitud aparente m, magnitud absoluta M y distancia, y devuelve el tercero, con la distancia en pársecs, años luz y unidades astronómicas (la magnitud absoluta es la magnitud aparente que tendría una estrella a 10 pársecs). El endpoint de flujo aplica la relación de Pogson para convertir una diferencia de magnitud en una relación de brillo, F₁/F₂ = 10^(0.4·(m₂ − m₁)), donde cinco magnitudes equivalen exactamente a un cambio de cien veces en brillo — a partir de dos magnitudes, una diferencia de magnitud o una relación. El endpoint de paralaje convierte un ángulo de paralaje en una distancia, d(pc) = 1 ÷ p(arcosegundos), y viceversa, el método geométrico detrás del propio pársec. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de educación astronómica, planetarios, observación de estrellas y ciencia, herramientas de observación y astrofísica, y enseñanza STEM. Cálculo puramente local — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es magnitud y distancia estelar; para mecánica orbital usa una API orbital y para distancias de círculo máximo en la Tierra una API de geo-distancia.

Tempo di attività

100.0%

Latenza

80ms

Abbonati

3,856