This file contains examples of math expressions converted to g-expressions, for use in GCalc
Math Expression | g-expression (Input) | Output |
1+2+4 | (+ 1 2 4) | 7 |
6*3*1 | (* 6 3 1) | 18 |
3-2-1 | (- 3 2 1) | 0 |
9/3 | (/ 9 3) | 3 |
5-3+4-6 | (- (+ 5 4) 3 6) | 0 |
5^2 | (^ 5 2) | 25 |
log(4) | (log 4) | 1.3862943611198906 |
sin(pi) | (sin pi) | 0 |
(3+5)/(4-3) | (/ (+ 3 5) (- 4 3)) | 8 |
x+4 | (+ x 4) | (+ x 4) |
3x-4 | (- (* 3 x) 4) | (- (* 3 x) 4) |
3x+2x+5 | (+ (* 3 x) (* 2 x) 5) | (+ (* 5 x) 5) |
(x+y)/(x+y)^4 | (/ (+ x y) (^ (+ x y) 4)) | (^ (+ y x) -3) |
(x+2)/(bx+3) | (/ (+ x 2) (+ (* b x) 3)) | (+ (/ x (+ (* b x) 3)) (/ 2 (+ (* b x) 3))) |
sin(x)/cos(x) | (/ (sin x) (cos x)) | (/ (sin x) (cos x)) |
dy/dx | (d y x) | dy/dx |
(d/dx)(e^x) | (d (^ e x) x) | (^ e x) |
(d/dx)(2log(x+y)) | (d (* 2 (log (+ x y))) x) | (+ (/ (* 2 dy/dx) (+ y x)) (/ 2 (+ y x))) |
(d/dx)sin(x) | (d (sin x) x) | (cos x) |
dy/dx-y^2-y, where y=x^2-2x+3 | (let (y (+ (^ x 2) (* -2 x) 3)) (- (d y x) (^ y 2) y)) | (- (+ (* 2 x) dy/dx) (+ (^ x 2) (^ (- (+ 3 (^ x 2)) (* 2 x)) 2) 3)) |