Exponential Smoothing Forecast Update
Update a simple level forecast from one new observation and a smoothing weight.
StatisticsOpen tool ↗THE FEUTEX TOOLKIT
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Holt Linear Trend Forecast Step
Update a level and trend then project a selected number of steps forward.
StatisticsOpen tool ↗AR(1) Conditional Forecast
Project a stationary autoregressive series and its innovation variance over a horizon.
StatisticsOpen tool ↗Exponential Trend Doubling or Halving Time
Translate a continuous fitted log-growth coefficient into a multiplicative trend timescale.
MathOpen tool ↗Three-Level Continued Fraction
Evaluate a short continued fraction and its exact numerator-denominator recurrence.
MathOpen tool ↗Finite Arithmetic–Geometric Sum
Sum a sequence whose terms combine an arithmetic factor with a geometric weight.
MathOpen tool ↗Polar Curve Curvature from Derivatives
Calculate local curvature of a polar curve from radius and angular derivatives.
MathOpen tool ↗Implicit Curve Local Geometry
Compute slope and curvature of F(x,y)=0 from first and second partial derivatives.
MathOpen tool ↗Exponential Relaxation Rate from Two Observations
Infer a first-order relaxation constant from a starting offset and a later offset from equilibrium.
MathOpen tool ↗Rank-One Determinant Update
Update a known matrix determinant from the scalar rank-one correction vᵀA⁻¹u.
MathOpen tool ↗Observed Iterative Convergence Order
Estimate convergence order from three successive positive errors against a known solution.
MathOpen tool ↗Lattice Polygon Area from Point Counts
Find the area of a simple lattice polygon from its interior and boundary lattice points.
GeometryOpen tool ↗Sustained Weapon DPS with Reloads
Compare damage over a complete magazine and reload cycle.
GamingOpen tool ↗Armor Breakpoint Hit Planner
Separate hits spent breaking armor from hits needed against health.
GamingOpen tool ↗Shield Recharge Window
Calculate shield recovered after a recharge delay and cap.
GamingOpen tool ↗Life Steal with Per-Hit Cap
Estimate healing from repeated hits with a per-hit cap and overheal.
GamingOpen tool ↗Status Stack Expiry Budget
Find simultaneously active stacks under fixed-duration repeated applications.
GamingOpen tool ↗Flat versus Percentage Cooldown Reduction
Compare two explicitly ordered cooldown-reduction rules.
GamingOpen tool ↗Game Currency Bundle Shortfall
Calculate whole bundles needed after existing currency and a fixed bonus.
GamingOpen tool ↗Season Pass Daily Matches after Weekly Missions
Subtract remaining weekly mission rewards before finding the daily match quota needed to finish a season pass.
GamingOpen tool ↗Quest Route Reward Rate
Compare reward rates with travel and repeat cooldown in the same route.
GamingOpen tool ↗Game Auction Listing Net Proceeds
Evaluate a game marketplace sale after listing and sale fees.
GamingOpen tool ↗Area Effect Target Density
Estimate target counts in a circular effect under uniform spatial density.
GamingOpen tool ↗Melee Chase Gap Closure
Estimate when a faster pursuer enters attack reach.
GamingOpen tool ↗Team Round Equipment Budget
Split a team buy after shared utility and a reserve.
GamingOpen tool ↗Respawn Wave Arrival Planner
Calculate the next respawn wave and objective arrival.
GamingOpen tool ↗Game Map Chunk and Local Coordinate
Convert positive or negative block positions into chunk and local coordinates.
GamingOpen tool ↗Axial Hex Grid Distance
Count shortest unobstructed moves between two axial hex coordinates.
GamingOpen tool ↗Pixel Art Integer Camera Scale
Find integer upscaling and letterbox borders for pixel-art games.
GamingOpen tool ↗Radial Stick Deadzone Remapping
Calculate normalized analog stick output after a radial deadzone.
GamingOpen tool ↗Shared Loot Round-Robin Allocation
Find complete loot rotations and extra items for a party.
GamingOpen tool ↗Baseball Slugging and Isolated Power
Calculate total bases, slugging percentage and isolated power from hit types.
SportsOpen tool ↗Baseball Pitching Rates from Outs
Use outs instead of ambiguous decimal innings to calculate ERA and WHIP.
SportsOpen tool ↗Basketball Two-Point versus Three-Point Value
Compare expected points per attempt for two shot types.
SportsOpen tool ↗Effective Field Goal Percentage
Adjust field goal percentage for the extra point from made threes.
SportsOpen tool ↗League Goal Difference Overtake
Calculate goals needed to exceed a rival goal difference after conceded goals.
SportsOpen tool ↗Hockey Save Percentage and Goals Allowed
Calculate saves and save percentage from shots faced and goals conceded.
SportsOpen tool ↗Volleyball Hitting Efficiency
Calculate kill rate and hitting efficiency from attack outcomes.
SportsOpen tool ↗Tennis Service Point Profile
Combine first-serve frequency with first- and second-serve points won.
SportsOpen tool ↗Cricket Required Run Rate from Balls
Calculate remaining runs and required rate using balls rather than decimal overs.
SportsOpen tool ↗Rugby Score from Scoring Events
Total tries, conversions, penalties and drop goals for rugby union scoring.
SportsOpen tool ↗Rowing Distance per Stroke
Estimate stroke count and distance per stroke from a recorded piece.
SportsOpen tool ↗Swimming Stroke Index
Calculate velocity, stroke length and their product from a measured length.
SportsOpen tool ↗Track Staggered Start Geometry
Calculate lane start offsets for curved track distance.
SportsOpen tool ↗Flying Sprint Timing Gate Speed
Calculate average speed between timing gates and compare entry and exit halves.
SportsOpen tool ↗Cycling Computer Rollout Calibration
Calibrate wheel circumference from measured ground distance and revolutions.
SportsOpen tool ↗Ski Lift Vertical Day Planner
Budget possible runs and vertical descent from fixed lift, queue and run times.
SportsOpen tool ↗Custom Stableford Hole Points
Calculate net score relative to par and points under a user-selected base.
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