Telescope Angular Magnification and Resolving Power Calculator
Calculates telescope angular magnification and minimum resolvable angle using the Rayleigh criterion. Larger aperture an...
Calculates telescope angular magnification and minimum resolvable angle using the Rayleigh criterion. Larger aperture an...
Compute the area of a circular segment (the region between a chord and an arc) from the circle radius and the central an...
Compute the equilibrium constant K_c from the concentrations of two products (with stoichiometric coefficients 1) divide...
Convert numbers between standard decimal form and normalized scientific notation (a × 10ⁿ with 1 ≤ |a| < 10).
Compute the excess kurtosis of a distribution from its centred fourth moment m₄ = E[(X − μ)⁴] and the variance σ²: exces...
Compute the magnitude (length) of a 3D vector and its unit vector from the three components.
Compute the expected value and variance of rolling N identical fair dice (each with S sides), using E = N · (S+1)/2 and...
Compute the sum of an arithmetic series: S_n = n(a₁ + aₙ)/2, where a₁ is the first term, aₙ the last, and n the count of...
Compute the area, perimeter, and diagonal of a rectangle from its length and width.
Find the coordinates of the midpoint of the segment connecting two points in the plane.
Compute the margin of error E for the mean from the sample standard deviation, sample size, and chosen confidence level...
Calculates the number of positive divisors of n = p₁^e₁ × p₂^e₂ × … as d(n) = (e₁+1)(e₂+1)…. For small n, also computes...
Every "X% of Y" problem, every "what percent of", every percent-change question — written out the way you'd actually say them.
Standard deviation is "average distance from the average". That one sentence covers 90% of everything you ever need to remember about it.