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Address: DonNTU, 58, Artyom Street, Donetsk 83000, Ukraine }{\insrsid3415120\charrsid12542116 
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odeling of mining engineering objects being the algebraic systems built on the points discrete set are examined in the paper. Their geometrical content and interaction within the object classes and among the classes in the computer-aided design systems ar
e described. }{\f0\insrsid3415120\charrsid12542116  
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The object big sizes ( for the big casts the mining lease territories makes up 30 and more square kilometers) is a feature of the opencast mining. The accuracy of the mining engineering tasks solving under sizes like that shoul
d be very high and correspond to the requirements put forward to the accuracy of the computer-aided design systems. One the one hand the accuracy depends on the accuracy of the instrumental surveys and technology of their doing. On the other one the accur
acy of the mining engineering tasks solving and their quality depends on the model\rquote 
s object composition and the set of the allowable operations at the object and among the objects. The regular monitoring of the mining openings is one of the main tasks for the survey boards at open cast mining }{
\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 . 
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The mine survey gives the discrete description of the opening geometry, geological bodies and mining engineering objects of the opencast mining. At present when the open cast minin
g is modeled all information (survey, that is metric, geological and technical) is presented in the discrete form which can be given as the finite set  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 
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\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 the opencast mining model point. }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 
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\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 , }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 which is not allowable for the presentation of the model in the computer\rquote s memory. For the finite set }{
\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 P}{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 
 to describe the linear objects and changes of the model features the limits for the model feature changes should be fixed at this set. The highwall edges, the upraise dip change lines, the surface edges etc. are the limits for the OCM. 
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, }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 should be done with the help of Delaunay triangulation for which there is an additional condition of non-crossing of the faces edges with the OCM linear objects: }{
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\par 
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\i\fs24\lang1033\langfe1049\sub\langnp1033\insrsid3415120 k}{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 which defines the objects adjacency, }{
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 - }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 the adjacency index, }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 , 1 \endash  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 for common points, }{
\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 2 \endash  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 for lines, }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 , 3 \endash  }{
\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 for surfaces.}{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 . }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 The task to identify the 
adjacent objects arises under the deposits supplementary exploration when based on new data two objects are combined into one or one object is divided into several ones. The operations of grouping, crossing and complement are allowed to be made on the nat
u
ral objects aggregate. Though if the objects connected to the resources measuring are deleted from the natural objects and removed to the artificial objects which they, in fact, are, the only operation of the adjacency identification can be defined for th
e natural objects. But historically the objects connected to the resources measuring are distinguished on the natural objects aggregate.  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 
\par }\pard \s43\qj \fi720\li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 The artificial objects algebra can be presented as }{
\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 
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\par }\pard \s43\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 that is as the aggregate of artificial obj
ects and operations of grouping, crossing and complement. Thus, all OCM artificial objects grouping gives the surface called the OCM day surface. Different data bench surface crossing generates the volume body which gives the mined mass volume. The crossi
ng of this volume body with the natural (or geological) objects gives the volumes of the mineral deposits and dirt which were extracted under processing.  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 
\par }\pard \s43\qj \fi720\li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 The operations of crossing natural and artificial objects which have a specific physical sense are po
ssible. Thus, crossing of the volume geological body and the OCM day surface generates two volume bodies which demonstrate how much minerals  were mined and remained. 
\par The opencast mining complete model can be defined as the algebraic system: }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 
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\par }\pard \s43\qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 
which is defined by the aggregate of the corresponding objects and operations made with them and a single operation of crossing among classes of the natural and artificial objects.}{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 

\par }\pard\plain \s29\qj \li0\ri0\widctlpar\nooverflow\faroman\rin0\lin0\itap0 \f36\fs20\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\f0\insrsid3415120\charrsid12542116 
\par }\pard\plain \s22\qj \li0\ri0\sb520\sa280\keep\keepn\widctlpar\tx454\hyphpar0\nooverflow\faroman\rin0\lin0\itap0 \b\f36\fs24\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\f0\insrsid3415120\charrsid12542116 Conclusion
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Taking into account all mentioned above it is obvio
us that the reference and object data models are different technologies of creation, saving and control of data on the reality objects. The reference model can be used under modeling of the volume bodies of bank type the surfaces of which have the feature
s
 of the topography surface that is the surface of certain thickness. In this case we can economize the memory for the objects presentation as one seam soil surface is the top of the underlying seam and so on. The objects topological accuracy is provide by
 the reference system. If the seams are broken and have complicated hypsometry, nicks and pinches, the reference model becomes more complicated and loses the advantages of storage compactness. To make it simpler, if to present the surface }{
\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 I}{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120  byte of the information is required, then to model }{\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 k }{
\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 seams}{\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120  I}{\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 (}{\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 k}{
\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 +1)}{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 byte is required within the reference model and }{
\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 I}{\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 (2}{\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 k}{
\b\i\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 -1)}{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120  byte within the object model. Now there is software support for the reference models of linear objects and surfaces [2]. 

\par The object form of the information presentation is preferable for ore deposits which have complicated forms of minerals }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 [3]. }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120 
Under the object modeling the object contains all information about itself which leads to data doubling but eliminates the reference complicated system which i
s difficult to support when the model is edited. The objects topological correctness is provided by the set of methods for the objects inside topology and the set of operations among the object classes for outside topology. 
\par Opencast modeling was always done on the objective basis. But whether these objects corresponded to the  classical definitions \endash 
 is different matter [4]. In most cases they did not. Their behaviour and relations with other objects and classes were dependant on the designer\rquote s experience 
and wish. Besides, the OCM modeling subject differs greatly from the abstract objects [4]  or programme interface objects. From our point of view the OCM object can both encapsulate data about itself and refer to common data. The most important requiremen
t is that its features and behaviour should reflect the features of real objects in the computer aided design systems. 
\par The authors hope they managed to systematize the object composition of the OCM models, their methods and operations both within the object classes and among the classes.  }{\fs24\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 
\par }\pard\plain \s45\qc \fi227\li0\ri0\sa120\widctlpar\nooverflow\faroman\rin0\lin0\itap0 \f36\fs20\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\f0\fs24\insrsid3415120\charrsid12542116 
\par }\pard\plain \s30\qj \fi-227\li227\ri0\widctlpar\nooverflow\faroman\rin0\lin227\itap0 \f36\fs18\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\f0\lang1049\langfe1049\langnp1049\insrsid3415120 References:
\par {\pntext\pard\plain\s30 \fs18\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \s30\qj \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0
\pndec\pnstart1\pnindent360\pnsp120\pnhang {\pntxta .}}\nooverflow\faroman\ls2\rin0\lin360\itap0 {\f0\insrsid3415120\charrsid12542116 V. A. Gorbatov. Fundamental Basis of Discrete Mathematics. Informational Mathematics. \endash }{\f0\insrsid15871862  }{
\f0\insrsid3415120\charrsid12542116 M.: Nauka. Fismatlit, 2000, 544 p. 
\par {\pntext\pard\plain\s30 \fs18\lang1033\langfe1049\langnp1033\insrsid3415120 \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \s30\qj \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang 
{\pntxta .}}\nooverflow\faroman\ls2\rin0\lin360\itap0 {\f0\insrsid3415120  Michael Zeiler Modeling Our World. The ESRI Guide to Geodatabase Design. ESRI}{\f0\lang1049\langfe1049\langnp1049\insrsid3415120  }{\f0\insrsid3415120 Press}{
\f0\lang1049\langfe1049\langnp1049\insrsid3415120 , 1999, 199}{\f0\insrsid3415120 p}{\f0\lang1049\langfe1049\langnp1049\insrsid3415120 .
\par {\pntext\pard\plain\s30 \fs18\lang1033\langfe1049\langnp1033\insrsid3415120\charrsid12542116 \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \s30\qj \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0
\pndec\pnstart1\pnindent360\pnsp120\pnhang {\pntxta .}}\nooverflow\faroman\ls2\rin0\lin360\itap0 {\f0\insrsid3415120\charrsid12542116 A. A. Sholomitski. Principles of Digital Modeling of Opencast Mining.//DonSTU Proceedings. }{
\f0\lang1049\langfe1049\langnp1049\insrsid3415120 Mining and Geological Series, Issue 11, - Donetsk, 2000, p. 77-85. 
\par }\pard \s30\qj \li0\ri0\widctlpar\nooverflow\faroman\rin0\lin0\itap0 {\f0\insrsid3415120\charrsid12542116 4.  }{\f0\insrsid15871862   }{\f0\insrsid3415120\charrsid12542116 G. Booch. Object Oriented Analysis and Design with the Examples of C++ Supplement, 
}{\f0\insrsid15871862                 }{\f0\insrsid3415120\charrsid12542116 2}{\f0\super\insrsid3415120\charrsid12542116 nd}{\f0\insrsid3415120\charrsid12542116  Edition.-M.: Izdatelstvo Binom, CPb.:Nevsky Dialect, 2000.-560p..
\par }}