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159 Articles
Math & Science
Articles filed under Math & Science.
Showing 64–84 of 159 articles
〰️ Math & Science
How to Choose a Sample Rate and Avoid Aliasing
Work out the minimum sample rate for a signal bandwidth, see where out-of-band content folds back to, and why filtering has to happen before the converter.
🧭 Math & Science
How to Convert Magnetic and True Bearings
Apply magnetic declination in the right direction, understand grid north as a third reference, and avoid the error that doubles rather than corrects.
🤖 Math & Science
How to Convert Servo Angle to Pulse Width
Map a servo angle to a pulse width in microseconds, understand why duty cycle is the wrong unit, and avoid stalling a servo against its end stops.
🧪 Math & Science
How to Determine Oxidation Numbers in a Compound
Enter a chemical compound to determine the oxidation number of each element based on standard assignment rules, entirely in your browser.
chart Math & Science
How to Estimate Earthquake Energy
Estimate earthquake energy from magnitude so the scale is easier to compare in a quick science reference.
🔥 Math & Science
How to Estimate Reaction Enthalpy From Bonds
Use average bond energies to estimate whether a reaction is exothermic, get the sign convention right, and know when Hess's law is the better method.
📈 Math & Science
How to Expand a Function as a Taylor Series
Expand a function into a Taylor or Maclaurin series, understand why accuracy falls away from the expansion point, and check the radius of convergence.
⚗️ Math & Science
How to Find an Empirical Formula From Percentages
Convert percentage composition into a whole-number mole ratio, then scale it to a molecular formula using the molar mass.
📐 Math & Science
How to Find the Domain and Range of a Function
Enter a common function type to see its domain and range explained with examples, entirely in your browser.
➗ Math & Science
How to Find the Lowest Common Denominator
Find the LCD for a set of fractions using prime factorisation, convert them to a shared denominator, and add or compare them without guesswork.
chart Math & Science
How to Generate a Fractal
Generate fractal previews to explore recursive shapes and visual patterns without setting up your own math canvas.
🔢 Math & Science
How to Generate the Collatz Sequence for Any Number
Enter a starting number to generate its full Collatz (3n+1) sequence down to 1, with step count, entirely in your browser.
🔢 Math & Science
How to Look Up the Properties of a Number
Find a number's prime factorisation, divisor count, primality and notable properties, and see why highly composite numbers run our clocks.
🔭 Math & Science
How to Match Eyepieces to Your Telescope
Calculate magnification, exit pupil and true field for an eyepiece and telescope pairing, and find the magnification the atmosphere will actually allow.
🎒 Math & Science
How to Pick the Best Items Within a Limit
Solve the knapsack problem to find the highest-value set that fits a weight or budget, and see why picking by value-per-weight isn't optimal.
🔋 Math & Science
How to Plan a Series/Parallel Battery Bank Configuration
Enter target voltage, capacity, and single battery specs to calculate how many batteries to wire in series and parallel, entirely in your browser.
chart Math & Science
How to Plan a Traveling Salesman Route
Visualize a traveling salesman route so you can compare paths and see a practical route order more clearly.
calculator Math & Science
How to Plan Spray Volume
Estimate spray volume from area and application rate so coverage planning is easier before mixing or spraying.
🔌 Math & Science
How to Read Battery Charge From Voltage
Estimate state of charge from resting voltage for lead-acid and lithium chemistries, and understand why LiFePO4's flat curve makes voltage nearly useless.
🔋 Math & Science
How to Size a Smoothing Capacitor
Calculate ripple voltage for a rectifier and load, size the capacitance for a ripple target, and check the trough still clears regulator dropout.
calculator Math & Science
How to Solve a Differential Equation
Solve a differential equation with a browser-friendly preview so the structure and approximate behavior are easier to inspect.