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Three-Phase Power API

Three-phase AC power maths as an API, computed locally and deterministically. The power endpoint solves the three-phase power triangle from the line-to-line voltage, the line current and the power factor — the apparent power S = √3·V_L·I_L in volt-amperes, the real power P = S·cosφ in watts, the reactive power Q = S·sinφ in VAR and the phase angle — or works backwards to find the line current a load draws for a given real power. The wye endpoint gives the star-connection relationships, where the line-to-line voltage is √3 times the phase voltage and the line and phase currents are equal. The delta endpoint gives the delta-connection relationships, where the line and phase voltages are equal and the line current is √3 times the phase current. Supply a line or phase quantity and it returns the rest. Everything is computed locally and deterministically, so it is instant and private. Ideal for electrical, motor, industrial-automation, solar-inverter and building-services app developers, switchboard and motor-sizing tools, and electrical-engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is balanced three-phase power; for the single-phase power triangle use a power-factor API and for voltage drop a voltage-drop API.

#three-phase #electrical #power
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api.oanor.com/threephase-api

API de Relatividad Especial

Matemáticas de relatividad especial como API, calculadas local y determinísticamente. El endpoint lorentz calcula el factor de Lorentz γ = 1/√(1 − β²) a partir de una velocidad (en m/s, km/s o como fracción de la velocidad de la luz β), y — dado un tiempo propio o una longitud propia — el tiempo dilatado Δt = γ·Δt₀ que mide un observador estacionario y la longitud contraída L = L₀/γ. El endpoint energy calcula la energía en reposo E₀ = mc², la energía total E = γmc², la energía cinética KE = (γ − 1)mc² y el momento relativista p = γmv de una masa que se mueve a una velocidad dada, reportando las energías tanto en julios como en electronvoltios. El endpoint mass-energy aplica la ecuación E = mc² de Einstein para convertir entre masa y energía en cualquier dirección, en julios, electronvoltios, megaelectronvoltios y kilovatios-hora. La velocidad de la luz es exactamente 299,792,458 m/s. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones de educación en física, simulación, astronomía y comunicación científica, herramientas de relatividad y física de partículas, y enseñanza STEM. Cálculo puramente local — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es relatividad especial; para movimiento SUVAT cotidiano use una API de cinemática y para mecánica orbital una API orbital.

#relativity #physics #lorentz
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api.oanor.com/relativity-api

Bernoulli Flow API

Matemáticas de Bernoulli y flujo incompresible como API, calculadas local y determinísticamente. El endpoint bernoulli aplica el principio de Bernoulli, P + ½ρv² + ρgh = constante a lo largo de una línea de corriente, tomando la presión, velocidad y altura en un punto y resolviendo la presión o velocidad desconocida en un segundo punto, e informando la presión de carga total. El endpoint dynamic-pressure calcula la presión dinámica q = ½ρv² a partir de una velocidad, o — la relación del tubo de Pitot — la velocidad del aire v = √(2q/ρ) a partir de una presión dinámica medida, más la presión de estancamiento (total) cuando se proporciona una presión estática. El endpoint venturi calcula el caudal y las velocidades de entrada y garganta de un venturi o contracción a partir de las áreas de entrada y garganta y la caída de presión, Q = Cd·A₂·√(2ΔP/(ρ(1−(A₂/A₁)²))), combinando continuidad con Bernoulli, con un coeficiente de descarga opcional. La densidad se toma de un valor o de un fluido nombrado (aire, agua, agua de mar, aceite). Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones aeroespaciales, HVAC, fontanería, procesos e hidráulica, herramientas de velocidad del aire y caudalímetros, y educación en mecánica de fluidos. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada se almacena. 3 endpoints. Este es flujo de Bernoulli/línea de corriente; para pérdida de carga por fricción en tuberías use una API Darcy y para medición con orificios una API de orificio.

#bernoulli #fluid-dynamics #pitot
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api.oanor.com/bernoulli-api

Interpolation API

Interpolation maths as an API, computed locally and deterministically. The linear endpoint interpolates between two points, y = y0 + (y1 − y0)·(x − x0)/(x1 − x0), returning the value at a target x (or, given a target y, solving the x that produces it), the parameter t and whether the point lies outside the segment. The table endpoint does piecewise-linear interpolation within a table of (x, y) points supplied as comma-separated lists — it sorts the points, finds the two that bracket your query and interpolates between them, extending the nearest segment and flagging the result when you query outside the data range, ideal for calibration curves and lookup tables. The bilinear endpoint interpolates on a rectangular grid from four corner values, interpolating along x at each y-edge and then along y. Everything is computed locally and deterministically, so it is instant and private, and unlike regression it passes exactly through the supplied points. Ideal for engineering, data-visualisation, gaming, mapping and scientific-computing app developers, lookup-table and calibration tools, and numerical-methods education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is interpolation; for least-squares regression and correlation use a statistics API.

#interpolation #math #lerp
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api.oanor.com/interpolation-api

Triangle Solver API

Triangle-solving maths as an API, computed locally and deterministically. The solve endpoint solves any triangle from three values — three sides (SSS), two sides and the included angle (SAS), two angles and a side (ASA/AAS), or the ambiguous two-sides-and-a-non-included-angle case (SSA) — using the law of cosines and the law of sines, and returns all three sides and angles, the perimeter, the Heron area and whether the triangle is acute, right or obtuse and equilateral, isosceles or scalene; for an ambiguous SSA input it also returns the second valid triangle. The right endpoint is a dedicated right-triangle solver from any two of the two legs, the hypotenuse and an acute angle, applying Pythagoras and basic trigonometry. The points endpoint builds a triangle from three cartesian vertices, giving the side lengths, the interior angles, the shoelace area and the centroid. Angles are in degrees. Everything is computed locally and deterministically, so it is instant and private. Ideal for education, CAD, surveying, game-development and engineering app developers, geometry and trigonometry tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This solves triangles; for areas and volumes of general shapes use a geometry API and for polygon point-set operations a polygon API.

#triangle #trigonometry #geometry
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api.oanor.com/triangle-api

Kinematics SUVAT API

Kinematics (SUVAT) maths as an API, computed locally and deterministically. The solve endpoint takes any three of the five constant-acceleration variables — initial velocity u, final velocity v, acceleration a, time t and displacement s — and returns the other two, picking the right equation among v = u + at, s = ut + ½at², s = ½(u+v)t, v² = u² + 2as and s = vt − ½at² automatically. The freefall endpoint computes the fall time, distance and impact velocity for a vertical drop from a height (or over a given time), with an adjustable gravity and optional initial velocity, no air resistance. The stopping endpoint computes reaction, braking and total stopping distance and braking time for a vehicle from its speed and either a deceleration or a road-surface friction coefficient (a = μ·g), with an optional reaction time. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education, engineering, simulation, automotive and game-development app developers, motion and braking-distance tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is linear-motion SUVAT; for projectile launch and trajectory use a projectile API and for momentum and collisions a momentum API.

#kinematics #suvat #physics
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api.oanor.com/kinematics-api

Coffee Brewing API

Coffee brewing maths as an API, computed locally and deterministically. The ratio endpoint works out a brew recipe from any two of the coffee dose, the water and the brew ratio — water = coffee × ratio — and reports the third value, the ratio as 1:N, the number of cups and whether the recipe sits around the SCA "golden ratio" of about 1:16–1:17. The espresso endpoint does the same for espresso from any two of the dose, the yield and the brew ratio (yield = dose × brew ratio), labelling the shot ristretto, normale or lungo. The extraction endpoint computes the extraction yield, EY% = (beverage mass × TDS%) ÷ dose, from the dose, the brewed beverage mass (or the water, estimating the mass the grounds retain) and the measured total dissolved solids, then classifies the brew as under-extracted, ideal or over-extracted and weak through very strong against the SCA brewing control chart. Masses are in grams, water in grams or millilitres. Everything is computed locally and deterministically, so it is instant and private. Ideal for specialty-coffee, café, brewing-scale and recipe app developers, pour-over and espresso tools, and barista training. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is coffee brewing maths; for cooking-unit conversions use a cooking API and for caffeine intake use a caffeine API.

#coffee #espresso #brewing
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api.oanor.com/coffee-api

Investment Return API

Investment return analysis as an API, computed locally and deterministically. The cagr endpoint computes the compound annual growth rate, (end/begin)^(1/years) − 1 — the single constant yearly rate that turns a starting value into an ending value — along with the total return and growth multiple, or runs the other way to project an ending value from a CAGR. The doubling endpoint gives how long an investment takes to double at a given rate, both the exact figure ln(2)/ln(1+r) and the quick Rule-of-72, -70 and -69.3 estimates, or inverts it to the rate needed to double within a target time. The real-return endpoint applies the Fisher equation, real = (1+nominal)/(1+inflation) − 1, to strip inflation out of a headline return — or works backwards to the nominal return needed for a target real return — showing how the rough nominal-minus-inflation shortcut drifts at higher rates. Everything is computed locally and deterministically, so it is instant and private. Ideal for fintech, robo-advisor, portfolio and personal-finance app developers, return and retirement calculators, and finance education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This analyses a lump-sum return; for regular-deposit savings projections use a savings API and for loan amortization a loan API.

#investment #cagr #finance
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api.oanor.com/investment-api

API de Préstamo e Hipoteca

Matemáticas de amortización de préstamos e hipotecas como API, calculadas local y determinísticamente. El endpoint de pago calcula el pago mensual fijo de un préstamo totalmente amortizable, M = P·r·(1+r)ⁿ / ((1+r)ⁿ − 1), donde r es la tasa anual dividida entre doce y n es el número de pagos mensuales, y devuelve el total pagado durante la vida del préstamo, el interés total y la parte de cada dólar que va a intereses. El endpoint de cronograma desglosa cualquier pago individual en sus partes de interés y principal, muestra el saldo restante después del pago, y el interés y principal acumulados pagados hasta el momento, para que puedas ver exactamente cómo una hipoteca pasa de intereses a capital con el tiempo. El endpoint de asequibilidad invierte la fórmula para dar el principal más grande que un presupuesto mensual elegido puede cubrir a una tasa y plazo dados. El plazo se ingresa en años o meses, y se manejan préstamos con interés cero. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de aplicaciones fintech, bienes raíces, banca y finanzas personales, calculadoras de hipotecas y préstamos para automóviles, y educación financiera. Cálculo local puro: sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es amortización de préstamos; para análisis de punto de equilibrio y CVP, usa una API de punto de equilibrio, y para proyecciones de metas de ahorro, usa una API de ahorros.

#loan #mortgage #amortization
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api.oanor.com/loan-api

Standard Atmosphere API

International Standard Atmosphere (ISA) maths as an API, computed locally and deterministically. The properties endpoint gives the air temperature, pressure, density and speed of sound at any altitude from sea level to 20 km — using the standard troposphere lapse rate (T = T0 − 0.0065·h) and the isothermal lower stratosphere above 11 km — along with the density, pressure and temperature ratios relative to sea level. The density-altitude endpoint computes the density altitude — the ISA altitude with the same air density — from a pressure altitude and the actual outside-air temperature, the figure pilots use because heat and low pressure rob an aircraft of lift, engine power and propeller thrust; it also reports the ISA temperature deviation. The pressure-altitude endpoint turns a barometric reading (in hectopascals or pascals) into the pressure altitude, the ISA altitude at which the standard pressure equals your reading. Altitudes accept metres or feet, temperature °C or kelvin. Everything is computed locally and deterministically, so it is instant and private. Ideal for aviation, drone, ballooning, HVAC and meteorology app developers, flight-planning and performance tools, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the ISA atmospheric model; for the acoustic and relativistic Doppler effect use a Doppler API.

#atmosphere #isa #aviation
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api.oanor.com/atmosphere-api

AC Resonance & Reactance API

AC reactance and LC/RC tuning maths as an API, computed locally and deterministically. The reactance endpoint computes the capacitive reactance Xc = 1/(2πfC) and the inductive reactance Xl = 2πfL at a given frequency, and — when both a capacitor and an inductor are supplied — the net series reactance X = Xl − Xc, whether the circuit looks inductive, capacitive or resonant, and the impedance magnitude. The resonant endpoint computes the LC resonant frequency f₀ = 1/(2π√(LC)), or, given a target frequency and one component, solves the other component you need to tune to it. The cutoff endpoint computes the RC or RL filter cutoff frequency — fc = 1/(2πRC) for RC, fc = R/(2πL) for RL — and the time constant. Frequencies are in hertz; capacitance, inductance and resistance accept SI base units with handy µF/nF/pF and mH/µH inputs. Everything is computed locally and deterministically, so it is instant and private. Ideal for electronics, RF, audio-filter and embedded app developers, tuning and filter-design tools, and electronics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is AC reactance & LC/RC tuning; for LED series-resistor sizing use an LED-resistor API and for VSWR and impedance match use a VSWR API.

#resonance #reactance #electronics
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api.oanor.com/resonance-api

API de Transferencia de Datos

Matemáticas de transferencia de datos y ancho de banda como API, calculadas local y determinísticamente. El endpoint de tiempo calcula cuánto tarda un archivo en transferirse a un ancho de banda dado, tiempo = bits del archivo ÷ (tasa × (1 − sobrecarga)), aceptando tamaños en B, KB, MB, GB, TB o los binarios KiB/MiB/GiB y tasas en bps, Kbps, Mbps, Gbps o bytes por segundo (MB/s), con una tolerancia opcional de sobrecarga de protocolo, y devuelve el tiempo en segundos, minutos, horas y una forma legible. El endpoint de ancho de banda funciona al revés: el ancho de banda necesario para mover un archivo en un tiempo objetivo, en bps, Mbps, Gbps y MB/s. El endpoint de conversión convierte un tamaño de datos entre unidades decimales (1 MB = 1,000,000 bytes) y binarias (MiB = 1,048,576), o una tasa de datos entre tasas de bits y tasas de bytes. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para desarrolladores de redes, nube, respaldo y aplicaciones de streaming, herramientas de tiempo de descarga y planificación de capacidad, y paneles de desarrollo. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es tiempo de transferencia y ancho de banda; para tasa de bits de codificación de medios use una API de tasa de bits.

#data-transfer #bandwidth #networking
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api.oanor.com/transfer-api