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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Minimal surfaces
 Lasovská, Anna ; Vašík, Petr (referee) ; Doupovec, Miroslav (advisor)
This thesis focuses on the study of minimal surfaces, which are surfaces that have the smallest surface area for a given boundary curve. In the introductory part of the thesis a correct definition of a minimal surface is derived, from which its key properties are further deducted. The text is then structured into several chapters, each dedicated to a specific type of minimal surface, while also providing detailed descriptions of the most significant minimal surfaces. The ending of the thesis provides an overview of other important minimal surfaces.
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Dot product - definition and applications
 Weissgráb, Lukáš ; Halas, Zdeněk (advisor) ; Rmoutil, Martin (referee)
This bachelor thesis presents various introductions of the dot product at several levels of difficulty. First part of the thesis deals with introduction of the dot product elementary, therefore only from knowledge of high school. The more advanced parts of this thesis are devoted to the introduction of the dot product as a bilinear form and focus on properties of this form. The final chapters are devoted to the Fourier series and the first fundamental form. All theorically explained pieces of knowledge are illustred with examples from mathematics and physics.
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