API Marketplace

Paint estimating and mixing maths as an API, computed locally and deterministically. The coverage endpoint works out how much paint an area needs — paint = area × coats ÷ spreading rate — from an area (in square metres or square feet), the number of coats and the paint's coverage (in m² per litre or square feet per US gallon, defaulting to a typical emulsion), and returns the volume in litres and US gallons and, given a tin size, the number of tins to buy. The room endpoint computes the paintable wall area of a room from its length, width and height — perimeter × height minus the door and window openings, optionally plus the ceiling — and then the paint needed, with sensible default door and window sizes you can override. The ratio endpoint splits a total volume by a mixing ratio such as 4:1 (base to hardener) or 4:1:10 (base, hardener, thinner) into each component's amount and percentage, or scales the whole mix up from one known component amount — for two-part epoxies, catalysed paints and thinning. Everything is computed locally and deterministically, so it is instant and private. Ideal for decorating, trade and DIY tools, hardware-store and paint-shop apps, estimating and quoting software, and home-improvement projects. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is paint coverage and mixing; for mulch, soil and gravel volumes use a landscaping API.

Tempo di attività

100.0%

Latenza

78ms

Abbonati

3,354

Índice de estrés térmico de temperatura de globo de bulbo húmedo (WBGT) como una API, calculado local y determinísticamente. WBGT es la medida estándar de estrés térmico ocupacional y atlético (ISO 7243). El endpoint wbgt calcula el índice real a partir de lecturas de termómetro medidas: al aire libre bajo el sol WBGT = 0.7·Tnwb + 0.2·Tg + 0.1·Tdb, y en interiores o a la sombra WBGT = 0.7·Tnwb + 0.3·Tg, a partir de las temperaturas naturales de bulbo húmedo, globo y bulbo seco, y devuelve la bandera de estrés térmico y las pautas de trabajo-descanso e hidratación. El endpoint estimate da una WBGT aproximada a la sombra solo a partir de la temperatura del aire y la humedad relativa usando la aproximación de la Oficina de Meteorología — e = (rh/100)·6.105·exp(17.27·T/(237.7+T)); WBGT ≈ 0.567·T + 0.393·e + 3.94 — para cuando no se tiene un termómetro de globo o bulbo húmedo. El endpoint flag clasifica cualquier valor de WBGT (°C o °F) en una categoría de estrés térmico — verde, amarillo, rojo o negro — con el ciclo de trabajo-descanso y la ingesta de agua recomendados. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de seguridad ocupacional e higiene industrial, deportes, planificación militar y de eventos al aire libre, y aplicaciones de monitoreo ambiental. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Este es el índice de estrés térmico WBGT; para el índice de calor del NWS, sensación térmica y punto de rocío, use una API de fórmulas meteorológicas.

Tempo di attività

100.0%

Latenza

78ms

Abbonati

3,101

Standing-wave and resonance maths for strings and air columns as an API, computed locally and deterministically. The string endpoint models a string fixed at both ends: from its length and the wave speed — given directly or as the tension and the linear mass density (which you can supply directly, or have computed from a mass and length, or from a wire diameter and material density) — it returns the wave speed v = √(T/μ), the fundamental frequency f₁ = v/(2L) and the harmonic series f_n = n·f₁, each with its wavelength and node and antinode count; it can also solve the tension needed to tune the string to a target fundamental. The pipe endpoint does the same for an air column: an open pipe (both ends open) resonates at all harmonics f_n = n·v/(2L) while a closed (stopped) pipe resonates only at the odd harmonics f_n = (2n−1)·v/(4L), with the speed of sound given directly or worked out from the air temperature, v = 331.3·√(1 + θ/273.15). The harmonics endpoint generates the harmonic series from a fundamental frequency, or from a wave speed and a length, for a string, an open pipe or a closed pipe. Everything is computed locally and deterministically, so it is instant and private. Ideal for musical-instrument and luthier tools, acoustics and audio apps, organ-pipe and wind-instrument design, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is mechanical standing waves and resonance; for note-to-frequency music theory use a music-note API and for electromagnetic wavelength λ = c/f use a wavelength API.

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100.0%

Latenza

80ms

Abbonati

3,405

Matemáticas de eflujo de Torricelli y descarga por orificio como una API, calculadas local y determinísticamente. El endpoint de velocidad aplica la ley de Torricelli, v = √(2·g·h) — la velocidad a la que un fluido sale de un orificio bajo una carga h es igual a la de un cuerpo que ha caído la misma altura — y devuelve la velocidad ideal y real del chorro (corregida por un coeficiente de velocidad), y, si se proporciona el diámetro o área del orificio, el caudal volumétrico ideal y real Q = Cd·A·√(2gh) en litros por segundo y minuto, metros cúbicos por hora y galones estadounidenses por minuto. El endpoint de tiempo de vaciado calcula cuánto tarda un tanque cilíndrico vertical en vaciarse a través de un orificio, t = (2·A_tanque)/(Cd·A_orificio·√(2g))·(√h0 − √h1), a partir de los tamaños del tanque y del orificio, la carga inicial y una carga final opcional, con el caudal inicial. El endpoint de alcance da la distancia horizontal que recorre un chorro desde un orificio lateral antes de caer, x = 2·Cv·√(h·y), a partir de la carga sobre el orificio y la altura del orificio sobre el suelo, con la velocidad del chorro y el tiempo de vuelo. Los coeficientes de descarga y velocidad tienen valores predeterminados de 0.62 y 0.97 y pueden ser anulados, al igual que la gravedad. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de mecánica de fluidos e hidráulica, drenaje de tanques, riego y aplicaciones de ingeniería de procesos, y educación en física. Cálculo puramente local — sin clave, sin servicio de terceros, instantáneo. En vivo, no se almacena nada. 3 endpoints. Esto es eflujo por orificio y drenaje de tanques; para continuidad en tuberías Q = A·v use una API de caudal y para volumen y nivel de tanque use una API de tanque.

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100.0%

Latenza

74ms

Abbonati

3,521

Calor latente y entalpía de cambio de fase como una API, calculados local y determinísticamente. El endpoint de calor latente aplica Q = m·L — el calor para fundir, congelar, hervir o condensar una sustancia es igual a su masa multiplicada por el calor latente — y resuelve para cualquiera de los valores (calor, masa o calor latente) que omitas, tomando el calor latente de fusión o vaporización directamente o de una tabla de sustancias incorporada (agua, etanol, mercurio, plomo, aluminio, hierro, nitrógeno, oxígeno). El endpoint de cambio de fase calcula la entalpía total de calentar o enfriar una sustancia de una temperatura a otra, combinando automáticamente el calor sensible m·c·ΔT dentro de cada fase con el calor latente en cada transición de fusión y ebullición que cruce, y devuelve un desglose paso a paso — por lo que puede decirte, por ejemplo, la energía total para convertir hielo a −10 °C hasta vapor a 110 °C, usando el calor específico correcto para el sólido, el líquido y el gas. El endpoint de sustancias enumera los calores latentes y los calores específicos por fase. El calor se reporta en julios, kilojulios, vatios-hora y kilocalorías. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de termodinámica y HVAC, refrigeración, calefacción y aplicaciones de ingeniería de procesos, ciencia de alimentos y materiales, y educación en física. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es calor latente y cambio de fase; para calor sensible solo (Q = m·c·ΔT sin cambio de fase) usa una API de calor específico.

Tempo di attività

100.0%

Latenza

77ms

Abbonati

4,542

Wheatstone-bridge and strain-gauge maths as an API, computed locally and deterministically. The bridge endpoint takes the four arm resistances R1–R4 and an excitation voltage and returns the bridge output voltage between the two midpoints, Vout = Vin·(R2/(R1+R2) − R4/(R3+R4)), in volts and millivolts, the voltage at each midpoint, and whether the bridge is balanced (Vout = 0 when R1·R4 = R2·R3). The balance endpoint inverts it: give any three arms and it solves the fourth resistance that balances the bridge, the classic way a Wheatstone bridge measures an unknown resistance. The strain endpoint models a strain-gauge bridge — quarter, half or full — and converts in both directions between mechanical strain and electrical output: from a gauge factor and a strain (given directly, as microstrain or as a relative resistance change ΔR/R = GF·ε) it returns the output ratio and voltage Vout/Vin = (k/4)·GF·ε where k is the number of active arms, and from an output voltage and excitation it returns the strain and microstrain. Everything is computed locally and deterministically, so it is instant and private. Ideal for instrumentation and sensor tools, load-cell, pressure-sensor and RTD measurement design, strain-gauge and data-acquisition apps, and electronics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is bridge and strain-gauge measurement; for Ohm's law, voltage dividers and series/parallel resistor combinations use an Ohm's-law API.

Tempo di attività

100.0%

Latenza

77ms

Abbonati

3,762

Flywheel and rotational-energy dynamics as an API, computed locally and deterministically. The energy endpoint computes the rotational kinetic energy stored in a spinning body, E = ½·I·ω², together with its angular momentum L = I·ω, in joules, kilojoules and watt-hours — from a moment of inertia (given directly, or worked out from a shape, mass and dimension) and an angular speed given as rpm, radians per second or hertz, which it reports in all three. The inertia endpoint returns the moment of inertia about the central axis for the common shapes — solid disk and cylinder (½·m·r²), thin ring and hoop (m·r²), hollow cylinder (½·m·(r_out²+r_in²)), solid sphere (⅖·m·r²), hollow sphere (⅔·m·r²) and a rod about its centre (1/12·m·L²) or end (⅓·m·L²) — from a mass and a radius, diameter or length. The flywheel endpoint sizes a flywheel: give a target energy and an operating speed and it returns the required inertia I = 2E/ω², or give an inertia and a maximum and minimum rpm and it returns the energy delivered between them, ΔE = ½·I·(ω₁²−ω₂²), with the coefficient of fluctuation. Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical-engineering and energy-storage tools, motor, engine and powertrain design, kinetic-energy-recovery and physics-education apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rotational energy and inertia; for bolt tightening torque use a torque API and for power-screw mechanics use a screw-jack API.

Tempo di attività

100.0%

Latenza

77ms

Abbonati

4,389

Banked-curve and circular-motion dynamics as an API, computed locally and deterministically. The speed endpoint takes the radius of a curve and its banking (bank) angle and returns the frictionless ideal (design) speed at which the banking alone supplies the centripetal force, v = √(r·g·tanθ); give a coefficient of friction as well and it also returns the maximum safe speed before the vehicle slides outward up the bank, v = √(r·g·(tanθ+μ)/(1−μ·tanθ)), and the minimum speed before it slides inward down the bank — every speed in metres per second, km/h, mph and knots, plus the centripetal acceleration. The bank-angle endpoint inverts this: from a design speed and radius it returns the ideal banking angle θ = atan(v²/(r·g)) and the equivalent superelevation as a ratio and a percentage, the cant a road or railway needs so no side friction is used at that speed. The flat-curve endpoint handles an unbanked curve from the coefficient of friction: the maximum cornering speed v = √(μ·r·g) for a given radius and the minimum radius v²/(μ·g) for a given speed. Gravity defaults to standard 9.80665 m/s² and can be overridden. Everything is computed locally and deterministically, so it is instant and private. Ideal for road and racetrack design tools, vehicle-dynamics and driving-simulator apps, civil and transportation engineering, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is curve banking and cornering dynamics; for projectile and SUVAT kinematics use a physics API.

Tempo di attività

100.0%

Latenza

80ms

Abbonati

4,050

Geometria de conicidade e cone como uma API, computada local e deterministicamente. O endpoint de conicidade relaciona os diâmetros grande e pequeno, o comprimento e a conicidade de uma peça cônica: forneça os dois diâmetros e o comprimento e ele retorna a razão de conicidade, a conicidade por pé e por polegada (para peças em polegadas), o ângulo incluído 2·atan((D−d)/(2L)) e o ângulo (de conicidade) metade a partir do eixo — ou deixe um dos diâmetros ou o comprimento de fora e forneça a conicidade por pé, e ele resolve para a dimensão faltante. O endpoint diâmetro-em fornece o diâmetro (e raio) em qualquer distância ao longo da conicidade, medido a partir da extremidade grande ou pequena, por interpolação linear d(x) = D − (D−d)·x/L. O endpoint morse é uma referência da série padrão de conicidade Morse MT0 a MT7, com a conicidade por pé de cada cone, diâmetro grande e pequeno na linha de calibre, comprimento e ângulo incluído. Comprimentos e diâmetros usam unidades consistentes (polegadas por padrão, ou milímetros para as saídas de ângulo e razão). Tudo é computado local e deterministicamente, então é instantâneo e privado. Ideal para aplicações de usinagem e ferramentas de torno, CAD e fabricação de ferramentas, projetos de fabricação e metalurgia, e calculadoras de engenharia mecânica. Computação local pura — sem chave, sem serviço de terceiros, instantâneo. Ao vivo, nada armazenado. 3 endpoints. Isto é geometria de conicidade; para passo de rosca e broca de rosca use uma API de rosca e para geometria de engrenagens de dentes retos use uma API de engrenagens.

Tempo di attività

100.0%

Latenza

71ms

Abbonati

4,363

Thermal-expansion maths as an API, computed locally and deterministically. The linear endpoint computes how much a solid grows or shrinks when its temperature changes, ΔL = α·L0·ΔT, returning the change in length and the new length from an original length, a temperature change (given directly or as an initial and final temperature) and the linear expansion coefficient α — taken from a built-in material table (steel, aluminium, copper, concrete, glass, invar and more) or supplied directly; lengths accept metres, centimetres, millimetres, feet or inches. The volume endpoint computes volumetric expansion, ΔV = β·V0·ΔT, where for a solid the volumetric coefficient is β ≈ 3α and for a liquid (water, ethanol, mercury, petrol and others) β is taken directly; volumes accept cubic metres, litres, millilitres or cubic feet. The materials endpoint lists the coefficients. A negative temperature change gives contraction. Everything is computed locally and deterministically, so it is instant and private. Ideal for civil and mechanical engineering tools, rail, pipe and bridge expansion-gap design, manufacturing-tolerance and HVAC apps, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is thermal expansion; for heat energy and temperature change use a specific-heat API.

Tempo di attività

100.0%

Latenza

74ms

Abbonati

4,920

pH和酸碱数学作为API，本地确定性地计算。ph端点可以在描述酸度的四种方式之间自由转换——pH、pOH、水合氢离子浓度[H+]和氢氧根浓度[OH−]：给出任意一个，它使用pH = −log₁₀[H+]、[OH−] = Kw/[H+]和pH + pOH = pKw返回其他值，并将溶液分类为酸性、中性或碱性。strong端点根据强酸或强碱的摩尔浓度给出其pH（对于酸[H+] = c，对于碱[OH−] = c），当溶液稀释到水的自电离变得重要时发出警告。buffer端点应用Henderson–Hasselbalch方程，pH = pKa + log₁₀([A−]/[HA])，根据pKa和共轭碱与酸的比率（直接给出或作为两个浓度）计算缓冲液的pH，也处理基于pKb的碱缓冲液。Kw默认为1×10⁻¹⁴（25°C），可以为其他温度覆盖。所有计算都在本地确定性地进行，因此即时且私密。非常适合化学和生物学实验室工具、滴定和缓冲液制备应用、水处理和鱼缸软件以及科学教育。纯本地计算——无需密钥，无需第三方服务，即时。实时，不存储任何内容。3个端点。这是pH和酸碱化学；对于溶液稀释和摩尔浓度，请使用稀释API。

Tempo di attività

100.0%

Latenza

78ms

Abbonati

3,949

Doppler-effect maths as an API, computed locally and deterministically. The sound endpoint computes the acoustic Doppler shift, f' = f·(v + vo) / (v − vs), where v is the speed of sound (given directly, derived from an air temperature, or the default 343 m/s at 20 °C), vs is the source velocity and vo the observer velocity, with positive velocities meaning approaching: it returns the observed frequency and the frequency shift, and refuses a supersonic source. The light endpoint computes the relativistic Doppler effect for light, f' = f·√((1+β)/(1−β)), from a velocity in metres per second or as a fraction of the speed of light and a direction (approaching blue-shifts, receding red-shifts), returning the frequency and wavelength factor, the observed frequency or wavelength, and the redshift z. The radial-velocity endpoint reverses it: from a measured redshift, or an observed and rest wavelength, it recovers the radial velocity with the exact relativistic relation and the simple v ≈ z·c estimate. Frequencies are in hertz, wavelengths in nanometres, velocities in metres per second. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and astronomy education, radar, sonar and lidar tools, audio and acoustics apps, and spectroscopy and redshift calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the Doppler effect; for sound levels and decibels use an acoustics API.

Tempo di attività

100.0%

Latenza

80ms

Abbonati

4,014

Arrhenius reaction-kinetics maths as an API, computed locally and deterministically. The rate-constant endpoint applies the Arrhenius equation k = A·exp(−Ea/RT), relating the rate constant, the pre-exponential (frequency) factor A, the activation energy Ea and the absolute temperature: give any three and it solves for the fourth, with the activation energy in joules or kilojoules per mole and the temperature in kelvin or Celsius. The activation-energy endpoint uses the two-point method — from two rate constants measured at two temperatures it returns the activation energy, Ea = R·ln(k2/k1)/(1/T1 − 1/T2), and the pre-exponential factor. The temperature-effect endpoint gives the factor by which the rate changes between two temperatures, k2/k1 = exp(−Ea/R·(1/T2 − 1/T1)), along with the Q₁₀ — the rate multiplier per 10 K rise — and the new rate constant if you supply the old one. The gas constant R is 8.314462618 J/(mol·K). Everything is computed locally and deterministically, so it is instant and private. Ideal for chemistry and chemical-engineering tools, reaction and process-design apps, shelf-life and stability modelling, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is reaction kinetics; for the ideal gas law use a gas-law API and for radioactive decay use a half-life API.

Tempo di attività

100.0%

Latenza

74ms

Abbonati

4,888

Snell's-law refraction optics as an API, computed locally and deterministically. The refraction endpoint applies Snell's law, n1·sin(θ1) = n2·sin(θ2): from the refractive indices of two media (given directly or by material — vacuum, air, water, glass, diamond and more) and the angle of incidence it returns the angle of refraction, or solves for the incidence angle from a refraction angle; when light passes into a less dense medium beyond the critical angle it reports total internal reflection instead of a refracted ray. The critical-angle endpoint gives the threshold for total internal reflection, θc = asin(n2/n1) for n1 > n2 — the principle behind optical fibres — defaulting the exit medium to air. The speed endpoint gives the speed of light in a medium, v = c/n, as a fraction of c, and — with a vacuum wavelength — the shorter wavelength inside the medium (the frequency is unchanged). Angles are in degrees, wavelengths in nanometres. Everything is computed locally and deterministically, so it is instant and private. Ideal for optics and photonics tools, fibre-optic and lens-design apps, photography and physics education, and AR/VR and rendering software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is Snell's-law refraction; for camera depth of field and field of view use a photography API.

Tempo di attività

100.0%

Latenza

75ms

Abbonati

3,539

Calorimetry (specific-heat) maths as an API, computed locally and deterministically. The heat endpoint applies the sensible-heat equation Q = m·c·ΔT — the heat energy equals the mass times the specific heat times the temperature change — and solves for whichever of the four quantities you leave out, taking the temperature change directly or as the difference of an initial and final temperature, and the specific heat directly or from a built-in material (water, ice, aluminium, copper, steel, glass, ethanol and more); it reports the heat in joules, kilojoules, calories, kilocalories and watt-hours. The mix endpoint finds the equilibrium temperature when two bodies at different temperatures are brought into thermal contact, Tf = (m1·c1·T1 + m2·c2·T2) / (m1·c1 + m2·c2), with the heat transferred, for the same or different materials. The materials endpoint lists typical specific heats. Use SI units — mass in kilograms, specific heat in joules per kilogram-kelvin, temperatures in °C or K (the difference is the same). Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and chemistry education, thermal-engineering and HVAC tools, cooking and brewing apps, and material-science calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is calorimetry; for the ideal gas law use a gas-law API.

Tempo di attività

100.0%

Latenza

73ms

Abbonati

4,801

Matemáticas de espectroscopia Beer–Lambert como API, calculadas local y determinísticamente. El endpoint beer-lambert aplica la ley A = ε·c·l, donde la absorbancia es igual a la absortividad molar por la concentración por la longitud del camino óptico: proporciona tres de los cuatro y resuelve el cuarto (la longitud del camino por defecto es la cubeta estándar de 1 cm cuando se omite), y siempre reporta la transmitancia y el porcentaje de transmitancia correspondientes. El endpoint transmittance convierte entre absorbancia y transmitancia en ambas direcciones, A = −log₁₀(T) y T = 10^(−A), y acepta una fracción o un porcentaje. El endpoint calibration lee una concentración a partir de una curva de calibración lineal, A = pendiente·c + intersección, resolviendo la concentración a partir de una absorbancia medida o la absorbancia esperada a partir de una concentración. Las unidades son las que proporciones de manera consistente — para absortividad molar en M⁻¹cm⁻¹, una longitud de camino en cm y absorbancia adimensional, la concentración resulta en molar. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de química analítica y laboratorio, aplicaciones de espectrofotómetro y ensayos, software de biotecnología y educación, y calculadoras de control de calidad. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es espectroscopia Beer-Lambert; para dilución de soluciones y molaridad usa una API de dilución y para datos de compuestos químicos usa una API de química.

Tempo di attività

100.0%

Latenza

73ms

Abbonati

3,983

Orbital-mechanics maths as an API, computed locally and deterministically. The circular endpoint computes a circular orbit around a body — the orbital speed v = √(GM/r), the orbital period T = 2π·√(r³/GM), the escape speed and the specific orbital energy — from a built-in body (Sun, Mercury through Neptune, the Moon) and an altitude above its surface, or from an explicit orbital radius, central mass or standard gravitational parameter. The escape endpoint gives the escape velocity √(2·GM/r) at any radius or altitude, which is √2 times the circular-orbit speed there. The period endpoint applies Kepler's third law in both directions: from a semi-major axis it returns the orbital period, and from a period it returns the semi-major axis — so a sidereal day around Earth gives the geostationary radius of about 42,164 km. Speeds come out in metres and kilometres per second and km/h, distances in metres and kilometres, and periods in seconds, minutes, hours and days. Everything is computed in SI and is instant and private. Ideal for aerospace and satellite tools, space-mission and education apps, astronomy and KSP-style games, and physics calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is orbital mechanics; for live satellite catalogues use a satellites API and for sky positions use an astronomy API.

Tempo di attività

100.0%

Latenza

83ms

Abbonati

4,272

Radioactive (exponential) decay maths as an API, computed locally and deterministically. The decay endpoint computes how much of a substance remains after a given time, N(t) = N0·(1/2)^(t/T½) = N0·e^(−λt): from a half-life (or a decay constant or mean lifetime), an elapsed time and an optional initial amount, it returns the fraction and percent remaining, the remaining and decayed amounts, the number of half-lives elapsed, and — if you give an initial activity — the remaining activity, which decays by the same factor. The constant endpoint converts freely between the half-life T½, the decay constant λ = ln2/T½ and the mean lifetime τ = 1/λ = T½/ln2. The age endpoint reverses the decay to find the elapsed time from the fraction remaining, t = T½·log₂(1/fraction) — the basis of radiometric (carbon-14) dating — and accepts either a fraction or a remaining and initial amount. Time and half-life share one unit, and the results come out in that unit. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and chemistry education, nuclear-medicine and dosimetry tools, archaeology and geology dating, and pharmacokinetics and science apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is exponential decay; for the ideal gas law use a gas-law API and for the chemical elements use an elements API.

Tempo di attività

100.0%

Latenza

75ms

Abbonati

4,792

Queueing-theory maths as an API, computed locally and deterministically. The littles-law endpoint applies Little's law, L = λ·W — the average number in a system equals the arrival rate times the average time in the system — and solves for whichever of the three you leave out; it holds for any stable system, from a checkout line to a request pipeline. The mm1 endpoint gives the full steady-state metrics of a single-server M/M/1 queue from the arrival rate λ and the service rate μ: the utilization ρ = λ/μ, the average number in the system and in the queue, the average time in the system and waiting, and the probability the system is empty — and it flags an unstable queue when ρ ≥ 1. The mmc endpoint extends this to a multi-server M/M/c queue with the Erlang-C waiting probability, returning the offered load in erlangs, the per-server utilization, the chance an arrival has to wait, and the same length and time metrics. Rates must share a time unit, and the times come out in that unit. Everything is computed locally and deterministically, so it is instant and private. Ideal for capacity-planning and operations tools, call-centre and staffing apps, server and throughput sizing, and operations-research education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is queueing theory; for descriptive statistics on a list of numbers use a statistics API.

Tempo di attività

100.0%

Latenza

81ms

Abbonati

3,808

Power-screw (lead-screw and screw-jack) mechanics as an API, computed locally and deterministically. The torque endpoint computes the torque to raise and to lower a load on a power screw from the load, the mean thread diameter, the lead (given directly or as pitch × starts) and the coefficient of friction: T_raise = (W·dm/2)·(L + π·μ′·dm)/(π·dm − μ′·L), with the matching lower torque, the lead angle, the efficiency (W·L ÷ 2π·T_raise) and whether the screw is self-locking (it is when the effective friction is at least the tangent of the lead angle). Square threads are the default; pass a thread angle (for example 29° for an ACME thread) and it applies the effective friction μ/cos(half-angle). The effort endpoint turns that torque into the hand force on a lever or handle and the resulting mechanical advantage. The travel endpoint relates turns, lift distance and — with an rpm — the linear speed and time. Lengths are in millimetres, load in newtons and torque in newton-metres. Everything is computed locally and deterministically, so it is instant and private. Thread friction only — add collar/thrust friction separately. Ideal for machine-design and mechanism tools, jack, press, vice and clamp design, maker and robotics projects, and engineering calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is power-screw mechanics; for the geometry of a screw thread use a thread API and for bolt tightening torque use a torque API.

Tempo di attività

100.0%

Latenza

72ms

Abbonati

4,613

Weld design maths as an API, computed locally and deterministically. The fillet endpoint sizes an equal-leg fillet weld: from the leg size, the weld length and an allowable shear stress it returns the effective throat (leg ÷ √2), the effective area, the load capacity and the strength per millimetre of weld; give a design force instead of a leg and it returns the required throat and leg size, and if you also pass a provided leg it reports the utilization and whether the weld is adequate. The butt endpoint handles a full-penetration butt (groove) weld, where the effective throat equals the plate thickness, returning the area and capacity. The throat endpoint converts between leg and throat — equal-leg (throat = leg ÷ √2), unequal legs (throat = a·b ÷ √(a²+b²)) and throat back to leg. Lengths are in millimetres, stress in megapascals and force in newtons. Everything is computed locally and deterministically, so it is instant and private. An estimating aid, not a code-stamped design — use the allowable stress and electrode from your governing code (AISC, Eurocode). Ideal for structural and fabrication tools, weld-design and estimating apps, maker and metalwork projects, and engineering calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is weld strength sizing; for bolt tightening torque use a torque API and for the weight of the steel use a metal-weight API.

Tempo di attività

100.0%

Latenza

79ms

Abbonati

4,699

Catenary (hanging-cable) maths as an API, computed locally and deterministically. The sag endpoint solves the exact catenary for a cable hung between two level supports: from the span, the weight per unit length and either the horizontal tension or the sag, it returns the catenary parameter a = H/w, the sag a·(cosh(L/2a) − 1), the cable length 2a·sinh(L/2a), the minimum tension (the horizontal tension at the lowest point) and the maximum tension at the supports (H·cosh(L/2a)), plus the slack over the straight span. The parabolic endpoint gives the shallow-sag parabolic approximation — sag = w·L²/(8·H) — that is standard for overhead utility lines, and converts between sag and tension either way. The length endpoint returns the cable length for a given span and sag, with the parabolic value alongside for comparison. Forces and lengths are unit-agnostic but must be consistent (for example newtons, newtons per metre and metres). Everything is computed locally and deterministically, so it is instant and private. Ideal for power-line and transmission tools, zip-line and rigging apps, suspension and surveying calculators, and physics and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is hanging-cable catenary maths; for rigging working load limits use a rigging API and for beam deflection use a beam API.

Tempo di attività

100.0%

Latenza

79ms

Abbonati

4,761

Fluid-statics maths as an API, computed locally and deterministically. The pressure endpoint computes the pressure at a depth in a fluid — the gauge pressure ρ·g·h and the absolute pressure (gauge plus atmospheric) — in pascals, kilopascals, bar, psi and atmospheres, for water, seawater, oil, mercury and more, or a custom density; depths accept metres, feet or centimetres, which makes it handy for diving (about 10 m of seawater adds one atmosphere). The force endpoint computes the resultant hydrostatic force on a submerged vertical rectangular surface — an aquarium wall, a tank side, a dam face or a flood gate — as F = ρ·g·h_c·A from its width and the top and bottom depths, and gives the depth of the centre of pressure, which sits below the centroid. The buoyancy endpoint applies Archimedes' principle, F_b = ρ_fluid·g·V, to give the buoyant force and the displaced mass, and — if you supply the object's density or mass — tells you whether it floats or sinks and what fraction sits below the waterline. Everything is computed locally and deterministically, so it is instant and private. Ideal for civil and marine engineering tools, diving and aquarium apps, tank and dam design, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is fluid statics; for pump power and head use a pump API and for pipe flow rate use a pipe-flow API.

Tempo di attività

100.0%

Latenza

78ms

Abbonati

3,892

Sheet-metal bending maths as an API, computed locally and deterministically. The bend-allowance endpoint computes the bend allowance, bend deduction and outside setback for a single bend from the material thickness, the inside bend radius, the bend angle and the K-factor: the bend allowance is BA = θ·(r + K·t), the outside setback is OSSB = (r + t)·tan(θ/2) and the bend deduction is BD = 2·OSSB − BA, with the neutral-axis position reported too. The flat-length endpoint computes the flat blank length you need to cut: from a list of outside (mold-line) flange lengths, or two flanges, or a total, it subtracts the bend deduction for each bend. The kfactor endpoint lists typical K-factors by material — aluminium around 0.33, mild steel 0.44, stainless 0.45 — and estimates a K-factor from the inside-radius-to-thickness ratio. The K-factor can be given directly or chosen by material, and if the inside radius is omitted it defaults to the thickness. Lengths are unit-agnostic — the output matches whatever unit you supply. Everything is computed locally and deterministically, so it is instant and private. Ideal for sheet-metal CAD/CAM and press-brake tools, fabrication and unfolding apps, maker and prototyping projects, and manufacturing calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is sheet-metal bend development; for the weight of the blank use a metal-weight API.

Tempo di attività

100.0%

Latenza

78ms

Abbonati

4,393