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➗ MathFree
Mean absolute deviation calculator
For 2, 4, 4, 4, 5, 5, 7 and 9 the mean is 5 and the mean absolute deviation is 1.5: the distances from the mean add up to 12, and 12 divided by 8 values is 1.5.
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➗ MathFree
Percentile calculator
In the list 7, 15, 36, 39, 40, 41 the 50th percentile is 37.5, halfway between 36 and 39. Paste your numbers, pick k from 0 to 100 and get the interpolated…
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➗ MathFree
Standard deviation calculator
For 2, 4, 4, 4, 5, 5, 7, 9 the mean is 5 and the population standard deviation is exactly 2, while the sample one is larger because it divides by 7 instead of…
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✍️ Text & AIFree
Convert to alternating case
«Hello World» becomes «hElLo WoRlD»: every letter alternates lower then upper, always starting lowercase, while spaces, digits and punctuation stay put and…
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✍️ Text & AIFree
Convert to camelCase
«hello world» becomes helloWorld: the first word stays lowercase, every following word starts with a capital and the spaces disappear.
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✍️ Text & AIFree
Count characters
Paste Hello World and see 11 characters with spaces, 10 without and 11 UTF-8 bytes, all at once. Check headlines, bios, SMS drafts and form entries against a…
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✍️ Text & AIFree
Convert to CONSTANT_CASE
hello world becomes HELLO_WORLD and get-user-profile becomes GET_USER_PROFILE: every word in capitals, joined by underscores, with no spaces, hyphens or dots…
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✍️ Text & AIFree
Count vowels and consonants
“Hello World 123!” splits into 3 vowels, 7 consonants, 3 digits and 3 other characters, 16 in all.
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✍️ Text & AIFree
Word frequency counter
In "the cat and the hat and the cat", the tops the table with 3 of 8 words, a share of 0.375, followed by and and cat with 2 each.
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✍️ Text & AIFree
Remove all whitespace
Hello World becomes HelloWorld: every space, tab and line break is deleted, while letters, digits and punctuation keep their order.
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✍️ Text & AIFree
Repeat text
Type ha with a count of 3 and get hahaha, or add a hyphen between copies for ha-ha-ha. Repeat any text from 1 to 10000 times to build dividers, star ratings…
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✍️ Text & AIFree
Text to slug
Cómo Añadir un Título becomes como-anadir-un-titulo and Hello World becomes hello-world: lowercase, no accents, no punctuation, just words joined by hyphens.
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✍️ Text & AIFree
Convert to uppercase
Turn Hello World into HELLO WORLD, or orderId_42 into ORDERID_42, in one pass. Every letter with a capital form is raised, accented ones included, while digits…
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🔬 ScienceFree
Boiling point altitude calculator
At sea level pure water boils at 100 °C (373.15 K, 212 °F), and thinner air at altitude lowers that point.
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🔬 ScienceFree
Combined gas law calculator
Halve the volume from 2 to 1 while pressure doubles from 1 to 2, and the temperature stays at 300 K: P·V/T is the same in both states.
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🔬 ScienceFree
Coefficient of performance calculator
A fridge that removes 400 units of heat for 100 units of work has a COP of 4; as a heat pump the same pair delivers 500 and scores 5.
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🔬 ScienceFree
Volumetric flow rate calculator
A pipe with a 0.01 m² cross-section and fluid moving at 1.5 m/s carries 0.015 m³/s. Enter the area and the mean speed and get the discharge in matching units…
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🔬 ScienceFree
Carnot efficiency calculator
An engine working between 600 K and 300 K can reach at most 50 % efficiency. Enter the hot and cold reservoir temperatures in kelvin to get the Carnot limit as…
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🔬 ScienceFree
Latent heat calculator
Melting 0.5 kg of ice with a latent heat of 334000 J/kg takes 167000 J. Enter the mass that changes phase and its latent heat of fusion or vaporization, and the…
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🔬 ScienceFree
Poiseuille flow calculator
A 1 m tube of radius 0.01 m, carrying a fluid of viscosity 0.001 Pa·s under a 1000 Pa pressure difference, passes 0.0039269908 m³/s.
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🔬 ScienceFree
Stefan-Boltzmann calculator
A perfect black body of 1 m² at 300 K radiates 459.300327939 W. Enter the surface area, the emissivity and the absolute temperature to get the radiated power…
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🔬 ScienceFree
Volumetric expansion calculator
One litre of ethanol, with β of 0.000207 per kelvin, heated by 50 K grows by 0.01035 L to 1.01035 L.
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🧭 Travel & geographyFree
Carry-on size checker
A 55 × 40 × 20 cm bag fits a 56 × 45 × 25 cm allowance with 1 cm to spare on the longest side, and the checker turns the bag the way a gate sizer would before…
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🧭 Travel & geographyFree
EV range calculator
A 75 kWh battery using 15 kWh per 100 km with 90 % usable charge covers 450 km. Enter pack size, efficiency and usable share to see whether a leg fits on one…
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🧭 Travel & geographyFree
Jet lag recovery calculator
Fly six time zones east and the rule of thumb gives 6 days to readjust; six zones west, only 3, because delaying sleep is easier than advancing it.
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🧭 Travel & geographyFree
Layover connection time checker
Landing at 10:30 and leaving at 14:00 gives a 3 h 30 min layover, which clears a 60-minute minimum connection with 150 minutes to spare.
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🧭 Travel & geographyFree
Trip fuel volume calculator
500 km at 7.5 L/100 km burns 37.5 litres, which is 9.9065 US gallons or 8.2488 imperial gallons. Enter the distance and your economy in L/100 km, km per litre…
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🧭 Travel & geographyFree
Trip total cost calculator
Get the whole budget for a 5-day road trip: fuel and tolls count once, lodging and food are multiplied by the days, and you see the daily rate and each…
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➗ MathFree
Degrees to radians converter
180 degrees is exactly π radians, about 3.1415926536, and the converter shows both the decimal and the π form.
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➗ MathFree
Hypotenuse calculator
Legs of 3 and 4 give a hypotenuse of 5 and an area of 6, straight from the Pythagorean theorem. Give the hypotenuse and one leg instead and the missing leg…
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➗ MathFree
Arcsine calculator
The arcsine of 0.5 is 30°, or 0.5235987756 radians, always taken from the principal range between −90° and 90°.
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➗ MathFree
Trig identity verifier
Check the identities your homework relies on at 30° or any angle you choose, and see sine squared plus cosine squared come out at exactly 1 while the other four…
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➗ MathFree
Secant, cosecant & cotangent calculator
Find the three reciprocal trig values at once: at 30° the cosecant is 2 and the secant about 1.1547, shown next to sine, cosine and tangent.
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➗ MathFree
Unit circle calculator
At 30° the unit circle point is (√3/2, 1/2), and the angle is π/6 in radians. Enter any finite angle to get its cosine and sine as a point on the circle of…
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➗ MathFree
Binomial expansion calculator
(a + b)^4 expands to a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4: enter the power and see every term with its coefficient and exponents, ready to compare with your own…
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➗ MathFree
Cramer's rule calculator
If 2x + y and x + 3y both equal 5, the solution is (2, 1), with determinants 5, 10 and 5: enter the coefficients and constants and see each unknown as a ratio…
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➗ MathFree
Cubic equation solver
x³ − 6x² + 11x − 6 = 0 has the roots 3, 2 and 1: enter the four coefficients and get all three roots, real or complex, with the depressed form and discriminant…
A
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➗ MathFree
Discriminant calculator
Enter a, b and c and see how many real roots your quadratic has: for x² − 5x + 6 = 0, Δ = 25 − 24 = 1, so there are two distinct real roots.
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➗ MathFree
Dot product calculator
Enter two vectors of the same length and get their dot product, both lengths and the angle between them: [1, 2, 3] and [4, −5, 6] give 12 and an acute angle.
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➗ MathFree
2×2 eigenvalue calculator
Enter the four entries of a 2×2 matrix and get its eigenvalues and eigenvectors: the matrix with rows (4, 1) and (2, 3) has trace 7, determinant 10 and…
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➗ MathFree
Exponential equation solver
Find the exponent that turns a base into a value: in 2ˣ = 8 the answer is 3, shown as a decimal and in exact form, with a check that 2³ really gives 8.
A
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➗ MathFree
Factor quadratic calculator
Enter a, b and c and get the quadratic factored into two binomials: x² − 5x + 6 becomes (x − 2)(x − 3).
A
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➗ MathFree
Gaussian elimination solver
Solve n linear equations in n unknowns by row reduction: the three-equation example gives the unknowns 2, 3 and −1, with the pivots and 2 row swaps shown so you…
A
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➗ MathFree
Linear equation solver
Enter 2x + 3 = 11 and get x equal to 4: subtract 3 from both sides, divide by 2, then check that 2 · 4 + 3 gives 11.
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➗ MathFree
Logarithm expand & condense
Expand log(x²y/z) into 2 log x + log y − log z, or pack such a sum back into a single logarithm, with each law named step by step.
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➗ MathFree
Logarithm calculator
Find log base b of x in one step: log base 10 of 100 is 2, and the natural log of 100, 4.60517018599, appears alongside.
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➗ MathFree
Matrix addition & subtraction
Add two matrices of the same size cell by cell: for two 2 × 2 matrices with entries 1, 2, 3, 4 and 5, 6, 7, 8, the result is 6, 8, 10, 12.
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➗ MathFree
Matrix determinant calculator
Enter a square matrix and get its determinant: rows 2, 1 and 1, 3 give 5, so the matrix is invertible.
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➗ MathFree
Matrix rank calculator
Enter rows 1, 2, 3; 4, 5, 6; 7, 8, 9 and get rank 2: elimination leaves only two pivots, so the matrix is not full rank.
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➗ MathFree
Matrix trace calculator
Get the trace of a square matrix without a hand-written loop: for the rows 2 1 and 1 3 the diagonal is 2 and 3, so the trace is 5. Only the diagonal counts.
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➗ MathFree
Matrix transpose calculator
Flip a matrix over its main diagonal in one step: rows 1 2 3 and 4 5 6 become columns, giving a 3×2 result with rows 1 4, 2 5 and 3 6.
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➗ MathFree
Partial fraction decomposition
Split a rational function into simple pieces ready to integrate: 1 over (x − 1)(x − 2) becomes −1/(x − 1) + 1/(x − 2).
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➗ MathFree
Polynomial addition calculator
Combine like terms in one step: 1 + 2x + 3x² plus 3 + x² gives 4 + 2x + 4x², and subtracting instead gives −2 + 2x + 2x².
A
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➗ MathFree
Polynomial multiplication calculator
Expand a product of polynomials without slips: (1 + 2x) times (3 + 4x) is 3 + 10x + 8x², and the degree of the product, 2, is the sum of the degrees.
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➗ MathFree
Polynomial root finder
List the real roots of a polynomial with their multiplicities: x³ − 6x² + 11x − 6 has the roots 1, 2 and 3, each appearing once.
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➗ MathFree
Quadratic formula solver
Plug in a, b and c and get the roots straight from the formula: x² − 3x + 2 has discriminant 1 and roots 2 and 1, with the parabola's vertex at (1.5, −0.25).
A
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➗ MathFree
Rational root theorem
For 2x^3 - 3x^2 - 3x + 2 the possible rational roots are ±1, ±2 and ±1/2: six candidates built from divisors of the constant term over divisors of the leading…
A
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➗ MathFree
Remainder theorem calculator
Dividing 2 - 3x + x^2 by x − 2 leaves a remainder of 0, so 2 is a root. The calculator gets that remainder as p(r) with Horner's method, skips long division and…
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➗ MathFree
Synthetic division calculator
Dividing x^3 - 6x^2 + 11x - 6 by x - 2 gives x^2 - 4x + 3 with remainder 0, so 2 is a root and the division is exact.
A
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➗ MathFree
Solve a 2×2 system of linear equations
The lines 2x + y equals 5 and x + 3y equals 7 cross at (1.6, 1.8): the solver finds the single intersection of two linear equations by Cramer's rule or…
A
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