Input 12^(1/4) Result sqrt(2) 3^(1/4) Decimal approximation 1.861209718204199197882437493966468175502408451355304750187… Continued fraction [1; 1, 6, 4, 1, 7, 51, 3, 4, 2, 2, 5, 1, 2, 2, 16, 1, 2, 5, 4, 5, 5, 2, 1, 5, 2, 1, 1, 1, 1, 1, …]
Input sqrt(12) Result 2 sqrt(3) Decimal approximation 3.464101615137754587054892683011744733885610507620761256111… Continued fraction [3; 2, 6^_]
Input interpretation solve Y (M x) B = 0 for X Result False
Input interpretation Geometry > Plane Geometry > Squares | Calculus and Analysis > Special Functions > Radicals
Input Y (M x) B Result B M x Y Geometric figure line Derivative d/(dx)(Y (M x) B) = B M Y Indefinite integral integral B M x Y dx = 1/2 B M x^2 Y + constant Definite integral over a hypersphere of radius R integral integral integral integral_(B^2 + M^2 + x^2 + […]
Input interpretation solve tan(x) = 1 Result x = pi (n + 1/4) and n element Z
Input interpretation quadratic formula Equation x^2 – 2 x + 1 = 0 a x^2 + b x + c = 0 | x | indeterminate variable a | quadratic coefficient b | linear coefficient c | constant coefficient (x = (-b ± sqrt(b^2 – 4 a c))/(2 a)) Input values quadratic coefficient | 1 […]
Input interpretation substitution (English word) Definitions 1 | noun | an event in which one thing is substituted for another 2 | noun | the act of putting one thing or person in the place of another American pronunciation s,uhbstuht’ooshuhn (IPA: s:02cc:028cbst:0259t:02c8u:0283:0259n) Hyphenation sub-sti-tu-tion (12 letters | 4 syllables) First known use in English 1390 […]
Input interpretation factor | -1 + x^4 Irreducible factorization (x – 1) (x – i) (x + i) (x + 1) Factorizations over finite fields GF(2) | (x + 1)^4
Input interpretation factor | -1 + x^4 Irreducible factorization (x – 1) (x – i) (x + i) (x + 1) Factorizations over finite fields GF(2) | (x + 1)^4