View source for sau'i

==== valsi ====
sau'i
==== type ====
experimental cmavo
==== creator ====
[[personal/krtisfranks|krtisfranks]]
==== time entered ====
Mon Feb 15 22:43:10 2016
 
== English ==
=== Definition #68408 - Preferred ===
 
==== selma'o ====
VUhU
==== definition ====

mekso n-ary operator: reciprocal of the sum of the reciprocal of each of <span class="MATH"><i>X</i><sub>1</sub></span>, <span class="MATH"><i>X</i><sub>2</sub></span>, ..., <span class="MATH"><i>X</i><sub>n</sub></span> (for any natural number n);  MATH
 $1/((1/X_1) + (1/X_2) + ... + (1/X_n))$
 
<span class="MATH">1/((1/<i>X</i><sub>1</sub>) + (1/<i>X</i><sub>2</sub>) + ... + (1/<i>X</i><sub>n</sub>))</span>.

==== notes ====
Left-groups, but is commutative and associative, so it does not matter. Useful in calculating electrical resistance, manipulating exponentiation/roots/logarithms ([[enfa|enfa]]), giving examples of binary operators with certain properties, etc. li ry sau'i sy du li pe'o fa'i pe'o su'i pe'o fa'i ry boi ku'e pe'o fa'i sy ku'e ku'e ku'e.  See also: "[[vau'i|vau'i]]".
==== gloss words ====

<ul><li>[[natlang/en/harmonic sum|harmonic sum ; reciprocal]]</li><li>[[natlang/en/reciprocal of harmonic sum|reciprocal of harmonic sum]]</li><li>[[natlang/en/reciprocal summation|reciprocal summation]]</li></ul>

==== created by ====
[[personal/krtisfranks|krtisfranks]]
==== vote information ====
1
     
==== time ====
Fri Sep  7 00:58:47 2018



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=== Etymology ===