Some scoping questions, that might be obvious or might help clarify the 
discussion…

The National Fire Protection Association is responsible for the safety diamond, 
that has Health (blue), Flammable (red) and Reactivity (yellow) ratings for the 
sample or area, each of which is measured from 0-4.   This seems like a 
quantified numeric value with a particular unit.  Is that then a Dimension, 
like:

_:x a Dimension ;
  P2_has_type <health safety> ;
  P90_has_value 3 ;
  P91_has_unit <nfpa_unit> .


Color can be measured, but to be useful has three component parts. Pure red 
could be expressed as 256 red, 0 green, 0 blue.  A type of redness, a value of 
256, and a unit of hexademical color proportion (e.g. as per 
https://www.w3.org/TR/2018/REC-css-color-3-20180619/#rgb-color or the standard 
for sRGB)

This would be most usefully expressed as a partitioning of an overall color 
dimension.  This would be a second example of dimension partitioning to go 
along with non decimal unit systems (feet and inches, etc.) or currencies 
(florins, etc).


Thoughts?

Rob


From: Crm-sig <[email protected]> on behalf of Martin Doerr 
<[email protected]>
Date: Thursday, November 15, 2018 at 6:53 AM
To: crm-sig <[email protected]>
Subject: [Crm-sig] Issue 347 Dimension


Dear All,

Here my homework!

ISSUE 347
The sig discussed  Martin's proposal about the relaxation of definition of E54 
to either representing the approximation of a true quantity of a thing or 
phenomenon provided by a measurement  or a derived quantity computed indirectly 
from observation data comparable to reality, or a quantity produced by 
simulation of reality-like situations.
Some comments are:

•       the phrase "An instance of E54 Dimension is specific to an instance of 
E70 Thing" in the scope note of P43 is too specific and it is not  compatible 
with the above approach. There are some consequences of this approach.

•       We should consider the properties of a physical thing.
A conclusion was that closeness or overlap of given bounds of approximation are 
the means to reason on the compatibility with a common reality or item.  Arrays 
and time series are regarded as “complex” dimensions.
The SIG assigned to MD to rewrite the scope note of E54.

 Here it is, a bit lengthy I admit:
E54 Dimension
Subclass of:     E1 CRM Entity


Scope note:      This class comprises quantifiable properties of things or 
phenomena that can be measured by some calibrated means and can be approximated 
by values, i.e. points or regions in a mathematical or conceptual space, such 
as natural or real numbers, RGB values etc.

 An instance of E54 Dimension may represent either the result of a measurement 
of a quantity of some things or phenomena, or the result of an evaluation of 
observation data indirectly determining an approximation of such a quantity, or 
the result of a prediction or hypothetical simulation of such a quantity in a 
scenario of a possible or alternative evolution of reality. Quantifiable 
properties of conceptual objects are observed on representative carriers. Not 
only dimensions of persistent items can be quantifiable, but also durations, 
spatial and temporal distances of instances of E2 Temporal Entities.

Most quantifiable properties change over time and have a continuous value 
space. Therefore, multiple observations will differ from each other, but 
knowledge about the precision of the respective determination method and domain 
knowledge about the changes to be expected between observations allow for 
reasoning which results of multiple observations are compatible with a common 
reality and can be used for further approximating the real quantities. For 
instance the weight of a person varies in the course of the day in a kg range. 
Wood expands under humidity some per cents, metal much less under increasing 
temperature. Instances of E54 Dimensions are specific to the way a property is 
determined. For instance, the length of a museum objects determined by the 
smallest rectangular bounding box is different from the maximum length of the 
object.

 The properties of the class E54 Dimension allow for expressing the numerical 
approximation of the values of an instance of E54 Dimension. If the true values 
belong to a non-discrete space, such as spatial distances, it is recommended to 
record them as approximations by intervals or regions of indeterminacy 
enclosing the assumed true values. For instance, a length of 5 cm may be 
recorded as 4.5-5.5 cm, according to the precision of the respective 
observation. Note, that interoperability of values described in different units 
depends critically on the representation as value regions. For instance, 5cm is 
about 1.96850394 inches. 2 inches on the other side may be interpreted as 
something between 1.5-2.5 inches, which would be something within 3.5-6.5 cm.

Numerical approximations in archaic instances of E58 Measurement Unit used in 
historical records should be preserved. Equivalents corresponding to current 
knowledge should be recorded as additional instances of E54 Dimension as 
appropriate.

Examples:
•  The 250 metric ton weight of the Luxor Obelisk
•
•  The 5.17 m height of the statue of David by Michaelangelo
•
•  The 530.2 carats of the Great Star of Africa diamond
•
•  The AD1262-1312, 1303-1384 calibrated C14 date for the Shroud of Turin
•
•  The 33 m diameter of the Stonehenge Sarcen Circle
•
•  The 755.9 foot length of the sides of the Great Pyramid at Giza
•  Christies’ hammer price for “Vase with Fifteen Sunflowers” (E97) has 
currency British Pounds (E98)

--

------------------------------------

 Dr. Martin Doerr



 Honorary Head of the

 Center for Cultural Informatics



 Information Systems Laboratory

 Institute of Computer Science

 Foundation for Research and Technology - Hellas (FORTH)



 N.Plastira 100, Vassilika Vouton,

 GR70013 Heraklion,Crete,Greece



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