...(MP) of a number, <math>n</math>, is calculated rather like the [[Digital root]] except digits are multiplied instead of being added:
...athworld.wolfram.com/MultiplicativeDigitalRoot.html Multiplicative Digital Root] on Wolfram Mathworld.
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The digital root, <math>X</math>, of a number, <math>n</math>, is calculated:
The task is to calculate the additive persistence and the digital root of a number, e.g.:
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...number <big>''A''</big>, as explained at the [[wp:Nth root algorithm|Wikipedia page]].
<syntaxhighlight lang="360asm">* Nth root - x**(1/n) - 29/07/2018
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Compute the [[wp:Root mean square|Root mean square]] of the numbers 1..10.
The ''root mean square'' is also known by its initials RMS (or rms), and as the
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#REDIRECT [[Nth root]]
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#REDIRECT [[Square root by hand]]
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...ram that will calculate '''n''' decimal digits of the square root of a non─negative number.
// Square Root of n 'By Hand' (n as bigint >= 1). Nigel Galloway: October 14th., 2020
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Sometimes a function is needed to find the integer square root of '''X''', where '''X''' can be a
::* where '''sqrt''' is the square root function for non─negative real numbers, and
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#REDIRECT [[Nth root]]
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#REDIRECT [[Averages/Root mean square]]
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#REDIRECT [[Square root by hand]]
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protected Node<T> Root;
Root = null;
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inline void RotateLeft(Node*& Root)
Node* Parent = Root->Parent;
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oct_node node_insert(oct_node root, unsigned char *pix)
if (!root->kids[i])
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// rotate a subtree according to dir; if new root is nil, old root is freed
struct node *root = *rootp;
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<span style="color: #004080;">integer</span> <span style="color: #000000;">root</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;"
<span style="color: #000000;">root</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;"
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static void RotateLeft(ref Node Root)
Node Parent = Root.Parent;
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void LeftNodeSwap(Node^ Root, Node^ Replace)
if (Replace->Left) Replace->Left->Parent = Root;
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let root = xDefaultRootWindow dpy
let gc = xCreateGC dpy root [GCForeground;GCBackground] gcvalues in
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public static ulong Depth(Node Root)
if (Root != null)
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static int depth(Node root)
if (root != null)
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public static ulong Depth(RedBlackNode Root)
if (Root != null)
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::*[[Nth root algorithm]]
::*Shifitng nth root algorithm
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...ction theorems for zeros|Zeros of a Polynomial]] - [[Nth root#ALGOL 68|Nth root]] & [[Roots of a quadratic function#ALGOL 68|Roots of a quadratic function]
* C05: [[wp:Root (mathematics)|Roots]] of One or More [[wp:Transcendental function|Transcend
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// returns the root node
root { _root }
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...at computes an approximation of the principal N<sup>th</sup> root of X as the largest integer less than or equal to R &n
R (the root) is a non-negative real number.
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pseudo-random n-bits output. The inference function for the square root demo will
generate a square root of a command in range: 0 <= command < 256.
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root : tpsList;
root,tmpList : tpsList;
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