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Numerical Analysis - Interpolation Methods
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Chemical concentration data at various times
Predicted concentration at a time not in the dataset using piecewise polynomial interpolation
Cross-sectional areas of a river at various points
Interpolated cross-sectional area at non-measured points using trigonometric polynomial interpolation
Annual rainfall data over several years at a location
Estimated rainfall for a year without data using the method of undetermined coefficients
Particle position data in physics experiments
Interpolated particle positions at non-recorded times using Barycentric interpolation
Stock market index values at market close
Interpolated index value at a specific time during the day using Bézier curves
Sound signal intensity at different positions
Interpolated sound intensity at an intermediate position using Fourier series
Elevation data along a trail
Interpolated elevation for points between known data using cubic splines
Pressure data at different altitudes
Pressure at an unmeasured altitude using spline interpolation
Battery charge state over time
Predicted battery charge state at an unreported time using quadratic interpolation
Satellite coordinates at different times
Coordinate interpolation for a time not provided using Chebyshev polynomials
CO2 absorption rates at varying concentrations
Estimated absorption rate for a concentration not measured using Padé approximant
Salinity levels at different ocean depths
Interpolated salinity at an unmeasured depth using inverse distance weighting (IDW)
Temperature readings at different times of day
Interpolated temperature for a time between recorded readings using linear interpolation
Audio signal samples
Interpolated audio signal at intermediate times using bandlimited interpolation
Population data across different years
Estimated population for a specific off-record year using polynomial interpolation
Car speed at recorded timestamps
Estimated speed at an unrecorded time using Hermite interpolation
Nutrient uptake by plants at different fertilizer levels
Interpolated nutrient uptake for an untested fertilizer concentration using radial basis functions
CPU usage data points over a time span
Predicted CPU usage at a point in time using stepwise interpolation
Fluid flow rates at different pipe diameters
Estimated flow rate at an unmeasured diameter using Gaussian interpolation
Light intensity at different distances from a source
Interpolated light intensity at new points using exponential interpolation
Daily sales figures for a product
Predicted sales figure for a day not yet recorded using least squares polynomial interpolation
Sensor data for humidity over time
Estimated humidity at a time between readings using a rational function interpolation
Voter turnout percentages in different demographic age groups
Interpolated voter turnout percentage for an age group not surveyed using discrete interpolating polynomials
Inflation rates over the past decades
Interpolation of inflation rate for a year with missing data using Neville’s algorithm
Market demand data for a product at certain prices
Interpolated market demand at a specific price using multivariate interpolation
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