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You searched for subject:(multi gradient ideal). Showing records 1 – 2 of 2 total matches.

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1. Liu, Yu-Han. Gradient ideals.

Degree: PhD, Mathematics, 2010, The Ohio State University

The notion of gradient ideals in a power series algebra over a noetherian local ring is defined with basic properties studied. A natural generalization, “multi-gradient ideals”, and the algebra of potential functions associated to an arbitrary ideal are introduced. Classification of multi-gradient ideals is given in the cases of principal ideals and monomial ideals by studying their algebras of potential functions. Abstract examples of non-multi-gradient ideals and geometric examples of multi-gradient ideals are constructed. Advisors/Committee Members: Clemens, Herbert (Advisor).

Subjects/Keywords: Mathematics; gradient ideal; symmetric obstruction theory; Hodge locus; multi-gradient ideal

…º º º º º º º º º º º º º º Multi-gradient ideals ¾º½ ÅÙÐØ ¹ Ö ÒØ… …Examples: non-multi-gradient ideals . . . . . . . . . . . . . . . . . . . . . . 38 º½ ×ØÖ Ø… …Ø Ø× ÐÓ× ÔÓ Òغ ½ 2 Multi-gradient ideals ÁÒ Ø × ÔØ Ö Û Ú ÐÓÔ Ø ÒÓØ ÓÒ Ó ÑÙÐØ ¹ Ö… …º½µº Ï Û ÐÐ ×ÓÓÒ × Ø ÓÙÖ Ð Ö Ó ÔÓØ ÒØ Ð ÙÒ Ø ÓÒ× ÒØÖÓ Ù ÐÓÛº 2.1 Multi-gradient ideals… …Gradient ideals ×× ÖØ Ø ÓÒ ÈÖ × ÒØ Ø Ò È ÖØ Ð ÙЬÐÐÑ ÒØ Ó Ø Ê ÕÙ Ö Ñ ÒØ× ÓÖ Ö Ó ØÓÖ Ó… 

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APA (6th Edition):

Liu, Y. (2010). Gradient ideals. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107

Chicago Manual of Style (16th Edition):

Liu, Yu-Han. “Gradient ideals.” 2010. Doctoral Dissertation, The Ohio State University. Accessed July 14, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107.

MLA Handbook (7th Edition):

Liu, Yu-Han. “Gradient ideals.” 2010. Web. 14 Jul 2020.

Vancouver:

Liu Y. Gradient ideals. [Internet] [Doctoral dissertation]. The Ohio State University; 2010. [cited 2020 Jul 14]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107.

Council of Science Editors:

Liu Y. Gradient ideals. [Doctoral Dissertation]. The Ohio State University; 2010. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1280803107


Brno University of Technology

2. Odvárka, Miroslav. Optimalizace průřezu a vyztužení střešního vazníku: Cross_section and reinforcement optimization of roof truss.

Degree: 2019, Brno University of Technology

The thesis is focused on optimization of cross-section shape of reinforced concrete truss. An optimization algorithm was created in Microsoft Office Excel which optimizes the shape and reinforcement of the reinforced concrete truss. The truss is as cheap as possible while complying with the ultimate limit state and serviceability limit state - deflection. The algorithm uses the Solver tool which is a supplement program Microsoft Office Excel. Two truss variants were created. One has a cross-sectional shape of a truss designed according to empirical relationships and the second comprises an optimized cross-sectional shape using the algorithm formed. The internal truss forces were detected using Scia Engineer. Both options were statically assessed. When comparing the variants, that a considerable part of the material cost can be saved when optimizing the cross-sectional shape. Advisors/Committee Members: Laníková, Ivana (advisor), Šimůnek, Petr (referee).

Subjects/Keywords: Optimalizace železobetonového vazníku; optimalizace průřezu; Microsoft Office Excel; Scia Engineer; Řešitel; Gradientní metoda; účelová funkce; proměnné modelu; omezující podmínky; optimální návrh; cena; optimalizační algoritmus; vícelodní hala; zatížení; kombinace zatížení; vnitřní síly; ohyb; smyk; průhyb; vyztužení; mezní stav únosnosti; mezní stav použitelnosti; ideální průřez.; Reinforced Concrete Truss Optimization; cross-section optimization; Microsoft Office Excel; Scia Engineer; Solver tool; Gradient Method; purpose function; model variables; restrictive conditions; optimal design; price; optimization algorithm; multi-storey hall load; load combination; internal forces; bend; skid; deflection; reinforcement; ultimate limit state; serviceability limit state; ideal cross-section.

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Odvárka, M. (2019). Optimalizace průřezu a vyztužení střešního vazníku: Cross_section and reinforcement optimization of roof truss. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/179866

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Odvárka, Miroslav. “Optimalizace průřezu a vyztužení střešního vazníku: Cross_section and reinforcement optimization of roof truss.” 2019. Thesis, Brno University of Technology. Accessed July 14, 2020. http://hdl.handle.net/11012/179866.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Odvárka, Miroslav. “Optimalizace průřezu a vyztužení střešního vazníku: Cross_section and reinforcement optimization of roof truss.” 2019. Web. 14 Jul 2020.

Vancouver:

Odvárka M. Optimalizace průřezu a vyztužení střešního vazníku: Cross_section and reinforcement optimization of roof truss. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2020 Jul 14]. Available from: http://hdl.handle.net/11012/179866.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Odvárka M. Optimalizace průřezu a vyztužení střešního vazníku: Cross_section and reinforcement optimization of roof truss. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/179866

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.