Math

441 tools · page 4 of 8

• 🔟Decimal to BCD Converter Converts a decimal number to binary-coded decimal (BCD), encoding each digit as a 4-bit nibble.
• 📐ASA Triangle Solver Calculator Solves a triangle given two angles and the included side (ASA) using the law of sines, returning the missing sides, the third angle, and the area.
• 🔢Highly Composite Number Checker Checks whether a positive integer is a highly composite number, having more divisors than any smaller integer.
• 📐Mollweide's Formula Checker Checks whether a triangle's sides and angles satisfy Mollweide's formula (a−b)/c = sin((A−B)/2)/cos(C/2).
• 🔢Partition Function p(n) Calculator Calculate the integer partition function p(n) — the number of distinct ways to write n as a sum of positive integers, ignoring order. Computed exactly for any n up to 299.
• 🧮Sum of First N Cubes Calculator Calculate the sum of the first n cubes using the identity 1³ + 2³ + … + n³ = (n(n+1)/2)², which equals the square of the nth triangular number. Instant exact results for any n.
• ✖️Cross Product Calculator Calculate the cross product of two 3D vectors and its magnitude.
• 🧭Cartesian to Polar Converter Converts Cartesian coordinates (x, y) into polar coordinates, giving the radius and the angle in both degrees and radians.
• ➗Fermat Factorization Calculator Factors an odd integer using Fermat's difference-of-squares method and reports the steps taken.
• 🔢Octal to Decimal Converter Convert octal to decimal and hex. Octal to Decimal Converter gives you the result instantly from a simple input.
• 🔢Pentagonal Number Calculator Computes the nth pentagonal number using the formula n(3n-1)/2.
• 🔢Perfect Square Checker Tests whether a number is a perfect square and returns its square root.
• 🔢QR Decomposition Calculator Decompose a 2×2 matrix into an orthogonal Q and upper-triangular R using the Gram-Schmidt process, with results shown as formatted matrices.
• 📐Wedge Volume Calculator Calculates the volume of a wedge with a rectangular base a×b and a top edge c at height h using V = (b·h/6)(2a + c).
• 📐Phasor Addition Calculator Adds two phasors A1∠θ1 + A2∠θ2 by converting to rectangular form and returns the resultant magnitude and phase.
• 🔢Square Pyramidal Number Calculator Calculate the nth square pyramidal number — the count of spheres stacked in a square pyramid (1²+2²+…+n²).
• 🔢Arbitrary Base Converter Convert an integer from any source base into any target base (2 to 36, digits 0-9 and a-z).
• 📐Distance from Point to Line in 3D Calculator Find the shortest distance from a point to a line in 3D defined by a point on the line and a direction vector, using |(P−A)×D| / |D|.
• 🔢Hex to Decimal Converter Convert hexadecimal to decimal and binary. Hex to Decimal Converter gives you the result instantly from a simple input.
• 📐Polygon Area Calculator (Coordinates) Calculate the area and perimeter of any polygon from its x,y vertex coordinates (shoelace formula).
• ➗Absolute Value Inequality Solver Solves absolute value inequalities of the form |ax+b| <op> c and returns the solution interval.
• 🔐CRT Decryption Speedup Calculator Decrypts an RSA ciphertext using the Chinese Remainder Theorem (CRT) optimization, computing m_p, m_q and recombining them — roughly 4× faster than plain modular exponentiation.
• ➕Descartes' Rule of Signs Calculator Enter polynomial coefficients to count sign changes and find the possible number of positive and negative real roots via Descartes' Rule of Signs.
• 🔢Matrix Diagonalization Calculator Finds the eigenvalues and eigenvectors of a 2×2 matrix to express it as PDP⁻¹ when real diagonalization exists.
• 📈Point-Slope Form Calculator Given a point (x1, y1) and slope m, find the slope-intercept form y = mx + b and the point-slope equation.
• 📐Polygon Area Calculator (Shoelace) Calculates the area and perimeter of any simple polygon from its (x, y) vertex coordinates using the shoelace formula.
• 🔢Quadratic Residue Checker Tests whether an integer a is a quadratic residue modulo a prime p using Euler's criterion, returning the Legendre symbol.
• 🔢LU Decomposition Calculator Factor a 2×2 matrix into lower (L) and upper (U) triangular matrices using Doolittle LU decomposition, and find its determinant.
• 🔢Decimal to Octal Converter Convert decimal to octal and binary. Decimal to Octal Converter gives you the result instantly from a simple input.
• ➕Elliptic Curve Point Addition Calculator Adds two distinct points P and Q on an elliptic curve y²=x³+ax+b over the real numbers, returning the resulting point R and the chord slope.
• 🧭Unit Circle Calculator Find the (cos, sin) coordinates on the unit circle for any angle in degrees, along with its sine, cosine and tangent values.
• 🔢Fermat Primality Test Calculator Applies Fermat's little theorem to a number n and base a, computing a^(n-1) mod n to judge whether n is probably prime or composite.
• 🔢Significant Figures in a Product Calculator Find how many significant figures a product or quotient should have — equal to the fewest significant figures among the operands — and see the correctly rounded result.
• ➗Sum and Product of Roots Calculator For a quadratic ax²+bx+c, computes the sum of roots (−b/a), the product of roots (c/a) and the discriminant (b²−4ac) without solving the equation.
• 🔊Decibel Ratio Calculator Convert a power or amplitude (field) ratio into decibels using 10·log10 for power or 20·log10 for amplitude.
• 🔲Orthogonal Matrix Checker Check whether a 2x2 matrix is orthogonal by testing that its columns are orthonormal, and report the determinant.
• 🔢Deficient Number Checker Check whether a whole number is deficient — its proper divisors sum to less than the number itself — and see the divisor sum and abundance.
• ➕Integer Partitions Calculator Computes p(n), the number of ways to write a positive integer as a sum of positive integers.
• 🔢Kronecker Product Calculator Computes the Kronecker (tensor) product A ⊗ B of two 2×2 matrices, giving a 4×4 result.
• 📐Higher Order Derivative Calculator Computes the nth derivative of a polynomial from its coefficients (highest degree first) using the power rule and returns the resulting polynomial.
• 📈Natural Log Calculator Compute the natural logarithm ln(x) of a positive number, along with its base-10 and base-2 logarithms.
• 🔢Quadratic Sieve Smoothness Calculator Trial-divides an integer n by every prime up to a smoothness bound B, reports whether n is B-smooth, gives its prime factorization, and the largest prime factor.
• 🧮Quaternion Normalization Calculator Compute the magnitude of a quaternion and normalize it to unit length by dividing each component by the norm.
• 📈RMS of a Signal Calculator Calculates the root mean square (RMS) of a list of values, the square root of the mean of their squares, along with the arithmetic mean and peak amplitude.
• 📐Linear Independence Calculator Determines whether two 3D vectors are linearly independent by computing their cross product. A non-zero cross product means the vectors are independent.
• 🔢Arithmetic Nth Term Calculator Finds the nth term of an arithmetic sequence using a + (n-1)d and the sum of the first n terms.
• ⭕Circle Area from Circumference Calculator Find a circle's area, radius, and diameter from its circumference using area = C²/(4π).
• ➕Modular Addition Calculator Computes the modular sum (a + b) mod m for any two integers and a positive modulus, returning a normalized result in the range 0 to m-1.
• 🌐Surface Area to Volume Ratio Calculator Calculate the surface-area-to-volume ratio of a sphere or cube along with its total surface area and volume.
• 🔢Matrix Square Root Calculator Computes the principal square root of a 2x2 matrix using the closed-form trace/determinant formula, plus its determinant and trace.
• ➗Multiply Fractions Calculator Multiply two fractions a/b by c/d and get the product reduced to lowest terms, plus decimal and mixed-number forms.
• 🔢Positive Definite Matrix Checker Checks whether a 2x2 symmetric matrix [[a,b],[b,c]] is positive definite, semidefinite, negative definite, or indefinite using its leading minor and determinant.
• 📐Triangle Side From Area Calculator Find a triangle's height from its area and base using height = 2·area ÷ base.
• 📈Annual Worth Calculator Converts a present value into its equivalent uniform annual worth over n years using the capital recovery (A/P) factor.
• ➗Polynomial GCD Calculator Computes the greatest common divisor of two polynomials using the Euclidean algorithm and returns it in monic form.
• 📐Trigonometric Substitution Calculator Identify the correct trigonometric substitution for integrals containing a²−x², a²+x², or x²−a², with the simplified radical and dx for your value of a.
• 🧮Logarithmic Equation Solver Solve a logarithmic equation of the form log base b of x = y by computing x = b raised to the power y, with a verification of the result.
• 🔢Proper Divisors Calculator Finds every proper divisor of a number (all divisors except the number itself) and reports their count and aliquot sum.
• 🔺Pyramid Surface Area Calculator Calculates the total and lateral surface area of a square pyramid from its base edge and vertical height, plus the slant height.
• ➗Arithmetic Series Sum Calculator Finds the sum of an arithmetic series using sum = n/2·(2a + (n−1)d), along with the nth (last) term and the average term.