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Showing result 1 - 5 of 79 essays matching the above criteria.
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1. The Abel-Ruffini Theorem : The insolvability of the general quintic equation by radicals
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : This thesis explores the topic of Galois theory at a relatively introductory level with the goal of proving the Abel Ruffini theorem. In the first part algebraic structures are considered: groups, ring, fields, etc. Following this, polynomial rings are introduced and the attention is then turned to finite field-extensions. READ MORE
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2. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks
University essay from KTH/Tillämpad fysikAbstract : This master’s thesis explores the possibility of calculating and using the pressure andvelocity fields responsible for acoustophoresis. The goal was to use simulated data,similar to two-dimensional particle tracks from a specific microfluidic platform, toestimate the force potential and solve the partial differential equation (PDE) thatgoverns the relationship between the force potential and the acoustic fields. READ MORE
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3. Environmental Testing of Large Components
University essay from KTH/Skolan för industriell teknik och management (ITM)Abstract : As the industry is being reshaped concentrically around sustainability, the consumption of fossil fuels is targeted to decrease day by day. As a consequence of that, a righteous rise of electricity as energy source prevails in different branches of industry. READ MORE
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4. Impact of Residual Stress on the Warm Pre-Stressing Effect
University essay from KTH/HållfasthetsläraAbstract : Irradiation of a reactor pressure vessel (RPV) causes a shift of the ductile to brittle transition region towards higher temperature regions. In the event of a pressurized thermal shock (PTS), where the temperature drops drastically, the ductile to brittle transition region might be entered for irradiated ferritic steel. READ MORE
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5. Profinite groups
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : This thesis provides a comprehensive study of profinite groups, which are fascinating mathematical objects that have attracted significant interest in modern algebraic research. Profinite groups are infinite generalizations of finite groups and share many similarities with them. READ MORE