Lander, Parkin, and Selfridge conjecture Traditional Cache

Cache is a DNA tube, housed in an old pill bottle.  BYOP

LPS

In geocaching, these initials bring a smile to our face, and a smile on our geocaching map.  They are pretty much easiest PnG we could all hope for and ask for.  Don't worry, this one won't disappoint.  But LPS got me thinking.  What else does it mean?  There's got to be some other interesting stuff that LPS could point us towards.  The Lander, Parkin, and Selfridge conjecture is just an example of what else LPS can mean.  

n 1967, L. J. Lander, T. R. Parkin, and John Selfridge (LPS) conjectured^[2] that if , where a_i ≠ b_j are positive integers for all 1 ≤ i ≤ n and 1 ≤ j ≤ m, then m+n ≥ k; the equal sum of like powers formula is often abbreviated as (k, m, n).

This would imply as a special case that if

(under the conditions given above) then n ≥ k−1.

WHAT????  In my years of high school and college math, this one never came up.  But I did put together a list of other stuff that LPS can mean.  

In medicine:

Lipopolysaccharide (Endotoxin)

Levator palpebrae superioris muscle

Schools:

Leighton Park School (Reading, England)

Lexington Public Schools (Massachuusetts)

Lincoln Public Schools (Nebraska)

Livonia Public Schools (Michigan)

Lucknow Public Schools (Uttar Pradesh, India)

Luther Preparatory School  (Wisconson)

Technology:

Leases per second, a speed measure for DHCP servers

Leica Photogrammetry Suite, software used in building maps

Lexus Personalized Settings in Lexus cars

Lightweight Portable Security – Linus LiveCD, or LiveUSB that powers a secury end node client

Linux Powered System

Local positioning system, navigation without GPS

Low pressure sodium vapor lamps

Miscellaneous

Laajasalon Palloseura, association football club from Helsinki, Finland

Lamp Post Skirt, a popular hiding spot in Geocaching

Lander, Parkin, and Selfridge conjecture, an unproven mathematical statement about equal sums of like powers

Lanterman-Petris-Short Act

Large-panel system, the use of prefabricated concrete slabs to construct buildings

Large Polyp Stony corals

Lender Processing Services in Jacksonville, Florida

Legal Paternal Surrender

Liberal Party of Switzerland

Limit of Positive Stability for boats

Liters per second

Littlest Pet Shop

Lostprophets, alternative metal band from Ponypridd, Wales, UK

Long playing records

Surf(Amtrak Station), Lompoc, California, US

Levopimaradiene synthase, en enzyme

Limited Power Source, a class of electrical power source defined by UL and similar organizations