Add more use-cases

Co-authored-by: Ezequiel Bellver <ebellver@itba.edu.ar>
Co-authored-by: Juan Barmasch <jbarmasch@itba.edu.ar>

doc/examples/use-case-1.txt

@@ -1,11 +1,12 @@
-function f = x^2;
+fun h = 3*x;
 function g = { x - 2: x < 3, 
-                     x^3: x >= 5
-                   };
+               x^3: x >= 5,
+               x: x > 7
+             };
 fun h = x/(x-2);
 
-evaluate f in 3; // 9
-g(5); // 125
-evaluate g in 4; // Error
-g(2); // 0
-h(2); // Error
+evaluate f in 3;
+g(5);
+evaluate g in 4;
+g(2);
+h(2);

doc/examples/use-case-10.txt

@@ -1,2 +1,3 @@
 fun f = 1/x;
-fun g =  f(3) + f'(3)*(x-3) + f''(3)/2 * (x-3)^2 + f'''(3) / 6 * (x-3)^3 + f''''(3) / 24 * (x-3)^4;
+fun g =  f(3) + f'(3)*(x-3) + f''(3)/2 * (x-3)^2 + f'''(3) / 6 * (x-3)^3 + f''''(3) / 24 * (x-3)^4;
+taylor 5 f;

doc/examples/use-case-11.txt

@@ -0,0 +1,2 @@
+fun f = x;
+fun g = fo4;

doc/examples/use-case-12.txt

@@ -0,0 +1 @@
+fun f = { x < 2: x ^ 2 };

doc/examples/use-case-14.txt

@@ -0,0 +1,2 @@
+fun f = 1/x;
+derivative f in 3 err -2;

doc/examples/use-case-15.txt

@@ -1,6 +1,4 @@
-if  (f(0) == 1) {
-	if (g(2) == 4) { 
-		print("Hola");
-	}
-	}
+if (1 == 1) {
+	print("Hola");
+}
 }

doc/examples/use-case-2.txt

@@ -1,3 +1,6 @@
-eval f in 5;
+function g = { x - 2: x < 3, 
+               x^3: x >= 5,
+               x: x > 7
+             };
 
-int f 3 ~ 5;
+print(evaluate g in [3, 5, 7]);

doc/examples/use-case-3.txt

@@ -0,0 +1,4 @@
+fun h = x/(x-2);
+fun g = hohohoh;
+printCsv g(1)
+printCsv g(1)

doc/examples/use-case-4.txt

@@ -0,0 +1,6 @@
+fun f = e^x;
+f'(2);
+f''(2);
+f'''(2);
+f''''(2);
+f'''''(2);

doc/examples/use-case-5.txt

@@ -0,0 +1,6 @@
+fun f = x^2;
+derivative f in 3;
+derivative 2 f in 3;
+derivative 3 f in 3;
+derivative 4 f in 3;
+derivative 5 f in 3;

doc/examples/use-case-6.txt

@@ -0,0 +1,7 @@
+fun f = { x: x < 3,
+          x^2: 3 < x < 4
+        };
+fun g = { x^2: 6 < x < 7,
+          x^7: x > 8
+        };
+fun h = fog;

doc/examples/use-case-7.txt

@@ -0,0 +1,5 @@
+fun f = - x^2 / 2 + 5*x;
+fun g = x^2 - 5*x - 2;
+fun h = x^2 - 5*x - 82;
+
+integrate [f, g, h] between 2 ~ 7;

doc/examples/use-case-8.txt

@@ -0,0 +1 @@
+var x = f(3) * x * 4 + 3;

doc/examples/use-case-9.txt

@@ -0,0 +1,4 @@
+fun f = x^2;
+var a = int f 0 ~ 5;
+var b = int f 0 ~ 1 + int f 1 ~ 2 + int f 2 ~ 3 + int f 3 ~ 4 + int f 4 ~ 5;
+var c = a - b;