View source for .utkakpu

==== valsi ====
.utkakpu
==== type ====
fu'ivla
==== creator ====
[[personal/krtisfranks|krtisfranks]]
==== time entered ====
Thu Jan 17 16:55:04 2019
 
== English ==
=== Definition #71271 - Preferred ===
 
==== definition ====
x<sub>1</sub> and x<sub>2</sub> are path-connected by ordered binary relation/predicate x<sub>3</sub> (ka), such that all paths which satisfy condition(s) x<sub>4</sub> (ka; default: no additional conditions) in the relevant graph (x<sub>5</sub>) linking nodes by said relation x<sub>3</sub> in a directed manner and which contain x<sub>1</sub> must also (later in the path) contain x<sub>2</sub>.
==== notes ====

All paths in the graph that pass through <span class="MATH"><i>x</i><sub>1</sub></span> must at some point also pass through <span class="MATH"><i>x</i><sub>2</sub></span>. Note that they may also contain <span class="MATH"><i>x</i><sub>2</sub></span> earlier; for example, cycles do this. It just must be the case that any path which at some point comes from <span class="MATH"><i>x</i><sub>1</sub></span> via relation <span class="MATH"><i>x</i><sub>3</sub></span> must, at some later point, go to <span class="MATH"><i>x</i><sub>2</sub></span> (and then they may continue on); in other words, the web from <span class="MATH"><i>x</i><sub>1</sub></span> 'bunches' up at node <span class="MATH"><i>x</i><sub>2</sub></span> and no path from <span class="MATH"><i>x</i><sub>1</sub></span> does not eventually go to <span class="MATH"><i>x</i><sub>2</sub></span>. All other notes from ".[[utka|utka]]" apply, although <span class="MATH">.<i>utka</i><sub>4</sub></span> is missing (and, thus, those notes are irrelevant), because it does not in general make sense to discuss intermediates nodes in this case (because no particular path is chosen). In a sense, this word captures the idea in the phrase "All roads lead to Rome", except that it would be rephrased as "All one-way roads from <span class="MATH"><i>x</i><sub>1</sub></span> lead to Rome". Diagrammatically, see: https://drive.google.com/file/d/14oSV_0ypJpIyKjEsOXVe684f6c-4jZBL/view?usp=drivesdk . This word is intended to be equivalent to "[[utkakpu|utkakpu]]", which accidentally has a separate entry in this dictionary.

==== gloss words ====

<ul><li>[[natlang/en/path-connection hub|path-connection hub]]</li></ul>

==== created by ====
[[personal/krtisfranks|krtisfranks]]
==== vote information ====
1
     
==== time ====
Sat Jan 19 05:09:50 2019



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=== Etymology ===