Improve markdown docs

symja_android_library/doc/02-symbols-and-assignments.md

@@ -3,24 +3,28 @@
 Symbols need not be declared in Symja, they can just be entered and remain variable
 (Only the symbols which consists of exactly one character are case sensitive. 
 For all other identifiers the input parser doesn't distinguish between lower and upper case characters):
+
 ```
 >> x
 x
 ```
 
 Basic simplifications are performed:
+
 ```
 >> x + 2 * x
 3*x
 ```
 
 Symbols can have any name that consists of characters and digits:
+
 ```
 >> iAm1Symbol ^ 2
 iam1symbol^2
 ```
 
 You can assign values to symbols:
+
 ```
 >> a = 2
 2
@@ -36,16 +40,19 @@ You can assign values to symbols:
 ```
 
 Assigning a value returns that value. If you want to suppress the output of any result, add a `;` to the end of your query:
+
 ```
 >> a = 4;
 ```
 
 Values can be copied from one variable to another:
+
 ```
 >> b = a;
 ```
 
 Now changing a does not affect b:
+
 ```
 >> a = 3;
 
@@ -55,6 +62,7 @@ Now changing a does not affect b:
 
 Such a dependency can be achieved by using “delayed assignment” with the `:=` operator 
 (which does not return anything, as the right side is not even evaluated):
+
 ```
 >> b := a ^ 2
 

symja_android_library/doc/05-lists.md

@@ -45,6 +45,7 @@ b
 ```
 
 Lists can be nested:
+
 ```
 >> mymatrix = {{1, 2}, {3, 4}, {5, 6}};
 ```
@@ -81,6 +82,7 @@ d
 ```
 
 Lists can be used to assign values to multiple variables at once:
+
 ```
 >> {a, b} = {1, 2};
 

symja_android_library/doc/08-control-statements.md

@@ -60,6 +60,7 @@ c
 
 Compound statements can be entered with `;`. 
 The result of a compound expression is its last part or `Null` if it ends with a `;`.
+
 ```
 >> 1; 2; 3
 3
@@ -68,6 +69,7 @@ The result of a compound expression is its last part or `Null` if it ends with a
 ```
 
 Inside For, While, and Do loops, Break() exits the loop and Continue() continues to the next iteration.
+
 ```
 >> For(i = 1, i <= 5, i++, If(i == 4, Break()); Print(i))
 1

symja_android_library/doc/99-function-reference.md

@@ -319,6 +319,8 @@ Functions in alphabetical order:
 * ✅ [Exp](functions/Exp.md)
 * ✅ [Expand](functions/Expand.md)
 * ✅ [ExpandAll](functions/ExpandAll.md)
+* [ExpandDenominator](functions/ExpandDenominator.md)
+* [ExpandNumerator](functions/ExpandNumerator.md)
 * ✅ [Expectation](functions/Expectation.md)
 * ✅ [ExpIntegralE](functions/ExpIntegralE.md)
 * ✅ [ExpIntegralEi](functions/ExpIntegralEi.md)
@@ -876,7 +878,7 @@ Functions in alphabetical order:
 * ✅ [Sow](functions/Sow.md)
 * [Span](functions/Span.md)
 * ✅ [SparseArray](functions/SparseArray.md)
-* [SparseArrayQ](functions/SparseArrayQ.md)
+* ✅ [SparseArrayQ](functions/SparseArrayQ.md)
 * ✅ [Sphere](functions/Sphere.md)
 * 🧪 [SphericalBesselJ](functions/SphericalBesselJ.md)
 * 🧪 [SphericalBesselY](functions/SphericalBesselY.md)

symja_android_library/doc/functions/EulerGamma.md

@@ -18,7 +18,7 @@ See
 ```
 
 ### Related terms 
-[E](E.md), [Pi](Pi.md) 
+[E](E.md), [Glaisher](Glaisher.md), [Khinchin](Khinchin.md), [Pi](Pi.md) 
 
 
 

symja_android_library/doc/functions/Range.md

@@ -12,6 +12,12 @@ Range(a, b)
 
 > returns a list of integers from `a` to `b`.
 
+```
+Range[a, b, di]
+```
+
+> returns a list of values from `a` to `b` using step $di$. More specifically, 'Range' starts from `a` and successively adds increments of `di` until the result is greater `(if di > 0)` or less `(if di < 0)` than `b`.
+        
 ### Examples
 
 ```

symja_android_library/matheclipse-core/src/main/resources/doc/01-getting-started.md

@@ -83,7 +83,7 @@ If you type `SIN(x)` or `sin(x)`, Symja assumes you always mean the same built-i
 
 Symja provides many common mathematical functions and constants.
 
-For example `[Log](functions/Log.md)` calculates the natural logarithm for base `[E](functions/E.md)`. `[Log2](functions/Log2.md)` and `[Log10](functions/Log10.md)` are variants for logarithm to the bases `2` and `10`.
+For example [Log](functions/Log.md) calculates the natural logarithm for base [E](functions/E.md). [Log2](functions/Log2.md) and [Log10](functions/Log10.md) are variants for logarithm to the bases `2` and `10`.
 
 ```
 >> Log(E)
@@ -104,7 +104,7 @@ Of course, Symja has complex numbers and uses the equation:
 
 $$\sqrt{-1}=I$$
 
-In Symja the imaginary unit is represented by the uppercase letter `[I](functions/I.md)`:
+In Symja the imaginary unit is represented by the uppercase letter [I](functions/I.md):
 
 ```
 >> Sqrt(-4)
@@ -123,7 +123,7 @@ In Symja the imaginary unit is represented by the uppercase letter `[I](function
 0.195577+I*0.842966
 ```
 
-`[Abs](functions/Abs.md)` calculates absolute values for complex numbers:
+[Abs](functions/Abs.md) calculates absolute values for complex numbers:
 
 ```
 >> Abs(-3)

symja_android_library/matheclipse-core/src/main/resources/doc/02-symbols-and-assignments.md

@@ -3,24 +3,28 @@
 Symbols need not be declared in Symja, they can just be entered and remain variable
 (Only the symbols which consists of exactly one character are case sensitive. 
 For all other identifiers the input parser doesn't distinguish between lower and upper case characters):
+
 ```
 >> x
 x
 ```
 
 Basic simplifications are performed:
+
 ```
 >> x + 2 * x
 3*x
 ```
 
 Symbols can have any name that consists of characters and digits:
+
 ```
 >> iAm1Symbol ^ 2
 iam1symbol^2
 ```
 
 You can assign values to symbols:
+
 ```
 >> a = 2
 2
@@ -36,16 +40,19 @@ You can assign values to symbols:
 ```
 
 Assigning a value returns that value. If you want to suppress the output of any result, add a `;` to the end of your query:
+
 ```
 >> a = 4;
 ```
 
 Values can be copied from one variable to another:
+
 ```
 >> b = a;
 ```
 
 Now changing a does not affect b:
+
 ```
 >> a = 3;
 
@@ -55,6 +62,7 @@ Now changing a does not affect b:
 
 Such a dependency can be achieved by using “delayed assignment” with the `:=` operator 
 (which does not return anything, as the right side is not even evaluated):
+
 ```
 >> b := a ^ 2
 

symja_android_library/matheclipse-core/src/main/resources/doc/05-lists.md

@@ -45,6 +45,7 @@ b
 ```
 
 Lists can be nested:
+
 ```
 >> mymatrix = {{1, 2}, {3, 4}, {5, 6}};
 ```
@@ -81,6 +82,7 @@ d
 ```
 
 Lists can be used to assign values to multiple variables at once:
+
 ```
 >> {a, b} = {1, 2};
 

symja_android_library/matheclipse-core/src/main/resources/doc/08-control-statements.md

@@ -60,6 +60,7 @@ c
 
 Compound statements can be entered with `;`. 
 The result of a compound expression is its last part or `Null` if it ends with a `;`.
+
 ```
 >> 1; 2; 3
 3
@@ -68,6 +69,7 @@ The result of a compound expression is its last part or `Null` if it ends with a
 ```
 
 Inside For, While, and Do loops, Break() exits the loop and Continue() continues to the next iteration.
+
 ```
 >> For(i = 1, i <= 5, i++, If(i == 4, Break()); Print(i))
 1

symja_android_library/matheclipse-core/src/main/resources/doc/99-function-reference.md

@@ -319,6 +319,8 @@ Functions in alphabetical order:
 * ✅ [Exp](functions/Exp.md)
 * ✅ [Expand](functions/Expand.md)
 * ✅ [ExpandAll](functions/ExpandAll.md)
+* [ExpandDenominator](functions/ExpandDenominator.md)
+* [ExpandNumerator](functions/ExpandNumerator.md)
 * ✅ [Expectation](functions/Expectation.md)
 * ✅ [ExpIntegralE](functions/ExpIntegralE.md)
 * ✅ [ExpIntegralEi](functions/ExpIntegralEi.md)
@@ -876,7 +878,7 @@ Functions in alphabetical order:
 * ✅ [Sow](functions/Sow.md)
 * [Span](functions/Span.md)
 * ✅ [SparseArray](functions/SparseArray.md)
-* [SparseArrayQ](functions/SparseArrayQ.md)
+* ✅ [SparseArrayQ](functions/SparseArrayQ.md)
 * ✅ [Sphere](functions/Sphere.md)
 * 🧪 [SphericalBesselJ](functions/SphericalBesselJ.md)
 * 🧪 [SphericalBesselY](functions/SphericalBesselY.md)

symja_android_library/matheclipse-core/src/main/resources/doc/functions/EulerGamma.md

@@ -18,7 +18,7 @@ See
 ```
 
 ### Related terms 
-[E](E.md), [Pi](Pi.md) 
+[E](E.md), [Glaisher](Glaisher.md), [Khinchin](Khinchin.md), [Pi](Pi.md) 
 
 
 

symja_android_library/matheclipse-core/src/main/resources/doc/functions/Range.md

@@ -12,6 +12,12 @@ Range(a, b)
 
 > returns a list of integers from `a` to `b`.
 
+```
+Range[a, b, di]
+```
+
+> returns a list of values from `a` to `b` using step $di$. More specifically, 'Range' starts from `a` and successively adds increments of `di` until the result is greater `(if di > 0)` or less `(if di < 0)` than `b`.
+        
 ### Examples
 
 ```