ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Automated generation of readable proofs with geometric invariants (1996)
    Springer
    Journal of automated reasoning 17 (1996), S. 325-347 
    Details
    ISSN: 1573-0670
    Keywords: automated reasoning ; automated geometry theorem proving ; area method ; multiple proof ; shortest proof ; 68T15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this series of papers, we discuss how to use a fixed set of high level geometry lemmas or rules related to geometric invariants, such as area, full-angle, etc., to produce short and human-readable proofs in geometry, especially to produce multiple and shortest proofs of a given geometry theorem. These rules are proved to be much more effective and concise than the rules based on triangle congruence used in related work before. The success of our approach is partially due to a skillful selection of geometric invariants and the related rules. Control and search strategies are proposed and experimented with to enhance the efficiency of the pover. In part I of this series, the high level geometry lemmas are about area and the Ceva-Menelaus configurations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00283133
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Automated generation of readable proofs with geometric invariants (1996)
    Springer
    Journal of automated reasoning 17 (1996), S. 349-370 
    Details
    ISSN: 1573-0670
    Keywords: automated reasoning ; automated geometry theorem proving ; method based on angle ; forward chaining ; backward chaining
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We present a set of rules based on full-angles as the basis of automated geometry theorem proving. We extend the idea of eliminating variables and points to the idea of eliminating lines. We also discuss how to combine the forward chaining and backward chaining to achieve higher efficiency. The prover based on the full-angle method has been used to produce short and elegant proofs for more than one hundred difficult geometry theorems. The proofs of many of those theorems produced by our previous area method are relatively long.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00283134
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering (2000)
    Springer
    Journal of automated reasoning 25 (2000), S. 219-246 
    Details
    ISSN: 1573-0670
    Keywords: deductive database ; automated geometry theorem proving and discovering ; search strategies ; redundant deduction ; Skolemization ; structured database
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We report our effort to build a geometry deductive database, which can be used to find the fixpoint for a geometric configuration. The system can find all the properties of the configuration that can be deduced using a fixed set of geometric rules. To control the size of the database, we propose the idea of a structured deductive database. Our experiments show that this technique could reduce the size of the database by one hundred times. We propose the data-based search strategy to improve the efficiency of forward chaining. We also make clear progress in the problems of how to select good geometric rules, how to add auxiliary points, and how to construct numerical diagrams as models automatically. The program is tested with 160 nontrivial geometry configurations. For these geometric configurations, the program not only finds most of their well-known properties but also often gives unexpected results, some of which are possibly new. Also, the proofs generated by the program are generally short and totally geometric.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006171315513
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Automated production of traditional proofs in solid geometry (1995)
    Springer
    Journal of automated reasoning 14 (1995), S. 257-291 
    Details
    ISSN: 1573-0670
    Keywords: automated theorem proving ; Euclidean traditional proofs ; volume method ; constructive geometry statements
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper presents a method of producing readable proofs for theorems in solid geometry. The method is for a class of constructive geometry statements about straight lines, planes, circles, and spheres. The key idea of the method is to eliminate points from the conclusion of a geometric statement using several (fixed) high-level basic propositions about the signed volumes of tetrahedrons and Pythagorean differences of triangles. We have implemented the algorithm, and more than 80 examples from solid geometry have been used to test the program. Our program is efficient and the proofs produced by it are generally short and readable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00881858
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Automated production of traditional proofs for theorems in Euclidean geometry I. The Hilbert intersection point theorems (1995)
    Springer
    Annals of mathematics and artificial intelligence 13 (1995), S. 109-137 
    Details
    ISSN: 1573-7470
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We present a method which can produce traditional proofs for a class of constructive geometry statements in Euclidean geometry. The method is a mechanization of the traditional area method used by many geometers. The key idea of our method is to eliminate dependent (constructed) points in a geometry statement using a few basic geometry propositions about the area of triangles. The method has been implemented. Our program, calledEuclid, can produce traditional proofs of many hard geometry theorems such as Pappus' theorem, Pascal's theorem, Gauss point theorem, and the Pascal conic theorem. Currently, it has produced proofs of 110 nontrivial theoremsentirely automatically. The proofs produced byEuclid are elegant, short (often shorter than the proofs given by geometers) and understandable even to high school students. This method seems to be the first that can produce traditional proofs for hard geometry theorems automatically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01531326
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    facet.materialart.
    Unknown
    Fabrication of solvent-resistant copolyimide membranes for pervaporation recovery of amide solvents (2017)
    Wiley
    Details
    Publication Date: 2017-11-16
    Description: In the present study, ceramic supported copolyimide membranes were synthesized via the two-step thermal imidization method and applied to pervaporation recovery of amide solvents including dimethylformamide (DMF) and dimethylacetamide (DMAc). The prepared membrane demonstrated high resistant to the two amides under a wide range of concentration. Moreover, effects of operating parameters such as feed temperature, feed concentration on pervaporation performances of the membrane were investigated. The copolyimide membrane displayed optimum permeation flux of 210 and 402 g m −2 h −1 with corresponding separation factors of 66 and 175, respectively, for H 2 O/DMF and H 2 O/DMAc mixtures with a water concentration of 20 wt % at 333 K.
    Print ISSN: 0930-7516
    Electronic ISSN: 1521-4125
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Published by Wiley
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
  • 7
    facet.materialart.
    Unknown
    Carbochlorination of alumina and silica from high-alumina fly ash (2019)
    Elsevier
    Details
    Publication Date: 2019-01-01
    Print ISSN: 0892-6875
    Electronic ISSN: 1872-9444
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Elsevier
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...