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Online Algebra Calculator
Many of users do not use powerful Maxima computer algebra system for systematic work, but for ad hoc algebraic calculations – equations, functions, matrixes, etc. only. To do this job, it is not useful to download the whole application from a web site.
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Related
euler
Run Example
(%i1)euler (50); (%o1) - 6053285248188621896314383785111649088103498225146815121 (%i2)
Run Example
a:matrix([a,b],[c,d]); [ a b ] (%o1) [ ] [ c d ] (%i2) b:matrix([3,0],[0,8]); [ 3 0 ] (%o2) [ ] [ 0 8 ] (%i3) mod((a.b.a^(-1))^totient(7),7); [ 8 b 6 6 6 6 8 b 3 a 6 6 6 6 ] [ mod((--- + 3) c , 7 c ) mod(b (--- + ---) d , 7 b d ) ] [ c d b ] [ ------------------------ -------------------------------- ] [ 6 6 6 ] [ c b d ] (%o3) [ ] [ 6 6 8 d 3 c 6 6 6 6 3 c 6 6 ] [ mod(a c (--- + ---) , 7 a c ) mod(b (--- + 8) , 7 b ) ] [ c a b ] [ -------------------------------- ------------------------ ] [ 6 6 6 ] [ a c b ] (%i4) determinant(a); (%o4) a d - b c (%i5) euler(7); (%o5) 0 (%i6)
Run Example
u:a*x^2+2*h*y+b*y^2; 2 2 (%o1) b y + 2 h y + a x (%i2) ux:diff(u,x); (%o2) 2 a x (%i3) uy:diff(u,y); (%o3) 2 b y + 2 h (%i4) euler:x*ux+y*uy; 2 (%o4) y (2 b y + 2 h) + 2 a x (%i5) eulersimply:ratsimp(euler); 2 2 (%o5) 2 b y + 2 h y + 2 a x (%i6) fact:factorial(eulersimply); 2 2 (%o6) (2 b y + 2 h y + 2 a x )! (%i7) is(equal(fact,2*u)); (%o7) unknown (%i8)
