126 results for “eta”
Relates the roots of a quadratic to its coefficients.
Double-angle identity for sine.
Double-angle identity for cosine.
The fundamental trigonometric identity.
Defines tangent in terms of sine and cosine.
Length of a circular arc (θ in radians).
Area of a circular sector (θ in radians).
Measure of each interior angle of a regular polygon.
Cotangent as the ratio of cosine to sine.
Secant and cosecant as reciprocals.
Double-angle identity for tangent.
Measure of one interior angle of a regular polygon.
Measure of one exterior angle of a regular polygon.
Expresses the tangent of a half angle.
Sine and cosine of complementary angles are equal.
Reciprocal of cosine.
Arc length from radius and central angle in radians.
Area of a circular sector with angle in radians.
Ratio of the side opposite an angle to the hypotenuse.
Ratio of the side adjacent to an angle to the hypotenuse.
Ratio of the opposite side to the adjacent side.
Reciprocal of sine.
Reciprocal of tangent.
Tangent equals sine divided by cosine.
The fundamental trig identity from the unit circle.
Derived Pythagorean identity dividing by cos².
Derived Pythagorean identity dividing by sin².
Sine of twice an angle.
Cosine of twice an angle (also 2cos²θ−1 or 1−2sin²θ).
Tangent of twice an angle.
Sine of half an angle.
Cosine of half an angle.
Tangent of half an angle.
Links complex exponentials to trigonometry.
Powers of complex numbers in trig form.
Iterative optimization step to minimize a cost function.
Measures similarity between two vectors by the angle between them.
Scalar product of two vectors.
Magnitude of the vector perpendicular to two vectors.
Angle from the dot product and magnitudes.
Work done by a force over a distance.
Refraction of light between two media.
Force needed to keep an object in circular motion.
Rotational effect of a force about a pivot.
Horizontal distance of a projectile on level ground.
Inward force needed for circular motion.
Planets orbit the Sun in ellipses with the Sun at one focus.
Light bends when passing between media of different refractive index.
Maximum efficiency of a heat engine.
Angle beyond which total internal reflection occurs.
Condition for constructive interference maxima.
Loudness in decibels relative to threshold.
Intensity of polarised light through a polariser.
Force on a moving charge in a magnetic field.
Force on a current-carrying conductor.
Flux through a surface in a magnetic field.
Wavelength change of scattered photons.
Ratio revealing which fuel is being metabolised.
Metabolic rate scales with body mass to the ¾ power.
Ratio revealing which fuel is being metabolized.
Basal metabolic rate — daily calories at rest for men.
Basal metabolic rate for women.
Resting calories from lean body mass.
Resting metabolic rate favoured for athletes.
Convert dietary Calories to the SI energy unit used on many food labels.
Apparent angular size of an object (small-angle).
Ratio of useful output to input power.
Rotational force about a pivot.
Resolve wind into headwind and crosswind components relative to runway/track.
Crosswind component determines whether landing is within aircraft limits.
Sideways wind component during landing.
Wind component along the runway.
Breguet range for a propeller aircraft: range grows with propeller efficiency, lift-to-drag ratio and the fuel-weight fraction.
Thrust horsepower is the engine's brake horsepower multiplied by propeller efficiency — the power actually converted to thrust.
Cumulative profit kept in the business rather than paid out to shareholders.
Accumulated profit kept in the business.
The price to charge after adding a percentage markup to unit cost.
The amount payable once a sales-tax or VAT rate is added to the price.
Links the money supply and its velocity to the price level and real output.
The monetary value of a one-pip move for a given trade size.
Angle between the hour and minute hands of an analog clock.
Iteratively moves parameters in the direction that most reduces the loss.
Measures the angle between two vectors; 1 means identical direction.
The original learning rule that nudges weights when a prediction is wrong.
Accelerates gradient descent by accumulating a velocity of past gradients.
Adaptive optimizer combining momentum and per-parameter learning rates.
Normalizes across features within a single sample; standard in Transformers.
The temperature a planet would settle at from sunlight alone, before greenhouse warming.
Rise in sea level as ocean water warms and expands.
Height an aircraft should be above the runway threshold when established on the ILS glideslope at a given distance.
Rule-of-thumb linking a lateral track error to an angular deviation: 1 nm off after 60 nm is about 1° of error.
Gain of a dish antenna rises with aperture area and falls with wavelength, scaled by aperture efficiency.
Horizontal distance a ball travels when launched at speed v and angle θ.
Peak height reached by a launched projectile.
Total time a projectile spends in the air on level ground.
Voyage time from distance and speed over ground.
Stability measure; positive GM means the ship rights itself.
Fixed panels roughly tilted to the site latitude capture the most annual energy.
Fraction of DC power converted to usable AC.
Power from falling water: flow rate times head.
Sunlight power hitting a tilted surface.
Premium that adds a load proportional to risk variance.
Output torque after gear reduction, allowing for efficiency.
Smallest angle a rotary encoder can resolve.
End-effector position from joint angles of a two-link arm.
Angle turned per step from steps per revolution.
Finer step angle from microstepping a stepper motor.
Time for a control response to settle within 2% of target.
Gravimetric water content of soil by weight.
Power a fan needs to move air against a pressure drop.
Level distance from a slope distance and its inclination angle.
Elevation change from a slope distance and angle.
Horizontal distance from stadia hair readings on a level rod.
Average number of secondary infections produced by one infected individual in a fully susceptible population.
Rate of change of the susceptible population in the SIR compartmental model.
Rate of change of the infected population — new infections minus recoveries.
General state of a single qubit as a superposition of the computational basis states.
The squared amplitudes of a qubit must sum to 1, ensuring total probability is 100 %.
X-rays reflected from parallel crystal planes interfere constructively when the path difference is a whole number of wavelengths.
Gives the magnetic field produced at a point by a small element of current-carrying wire.
For metals, the ratio of thermal conductivity to electrical conductivity is proportional to absolute temperature, with a nearly universal constant.
If you know the roots r₁ and r₂, the quadratic is x² − (r₁+r₂)x + r₁×r₂ = 0. Sum gives the middle term, product gives the constant.
Selling price = cost × (1 + markup%). A 40% markup means multiply cost by 1.4.