Spelling suggestions: "subject:"toroidal harmonic."" "subject:"coroidal harmonic.""
1 
Solutions of the toroidal wave equation and their applicationsWeston, Vaughan H., January 1900 (has links)
ThesisUniversity of Toronto, 1956. / Photocopy (positive) of microfilm from University of Toronto Library. Microfilm made by Standard Microfilming Co., Toronto. Vita. Bibliography: leaf 88.

2 
Solutions of the toroidal wave equation and their applicationsWeston, Vaughan H., January 1900 (has links)
ThesisUniversity of Toronto, 1956. / Photocopy (positive) of microfilm from University of Toronto Library. Microfilm made by Standard Microfilming Co., Toronto. Vita. Bibliography: leaf 88.

3 
Subarea determination of the capacitance of a toroidCarroll, D. P. January 1965 (has links)
Thesis (M.S.)University of WisconsinMadison, 1965. / eContent providerneutral record in process. Description based on print version record. Bibliography: l. 6975.

4 
Toroidalization of locally toroidal morphismsHanumanthu, Krishna Chaithanya, January 2008 (has links)
Thesis (Ph. D.)University of MissouriColumbia, 2008. / The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a nontechnical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on June 8, 2009) Vita. Includes bibliographical references.

5 
Torus embedding and its applicationsNguyenhuu, Rick Hung 01 January 1998 (has links)
No description available.

6 
Asymptotic representations of shifted quantum affine algebras from critical KtheoryLiu, Huaxin January 2021 (has links)
In this thesis we explore the geometric representation theory of shifted quantum affine algebras 𝒜^𝜇, using the critical Ktheory of certain moduli spaces of infinite flags of quiver representations resembling the moduli of quasimaps to Nakajima quiver varieties. These critical Ktheories become 𝒜^𝜇modules via the socalled critical Rmatrix 𝑅, which generalizes the geometric Rmatrix of Maulik, Okounkov, and Smirnov. In the asymptotic limit corresponding to taking infinite instead of finite flags, singularities appear in 𝑅 and are responsible for the shift in 𝒜^𝜇. The result is a geometric construction of interesting infinitedimensional modules in the category 𝒪 of 𝒜^𝜇, including e.g. the prefundamental modules previously introduced and studied algebraically by Hernandez and Jimbo. Following Nekrasov, we provide a very natural geometric definition of qqcharacters for our asymptotic modules compatible with the preexisting definition of qcharacters.
When 𝒜^𝜇 is the shifted quantum toroidal gl₁ algebra, we construct asymptotic modules DT_𝜇 and PT_𝜇 whose combinatorics match those of (1legged) vertices in DonaldsonThomas and PandharipandeThomas theories. Such vertices control enumerative invariants of curves in toric 3folds, and finding relations between (equivariant, Ktheoretic) DT and PT vertices with descendent insertions is a typical example of a wallcrossing problem. We prove a certain duality between our DT_𝜇 and PT_𝜇 modules which, upon taking q/qqcharacters, provides one such wallcrossing relation.

7 
Flow visualization study of the intake process of an internal combustion engine.Ekchian, Agop January 1979 (has links)
Thesis. 1979. Ph.D.Massachusetts Institute of Technology. Dept. of Mechanical Engineering. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING. / Includes bibliographical references. / Ph.D.

8 
Ion Trajectory Simulations and Design Optimization of Toroidal Ion Trap Mass SpectrometersHiggs, Jessica Marie 01 December 2017 (has links)
Ion traps can easily be miniaturized to become portable mass spectrometers. Trapped ions can be ejected by adjusting voltage settings of the radiofrequency (RF) signal applied to the electrodes. Several ion trap designs include the quadrupole ion trap (QIT), cylindrical ion trap (CIT), linear ion trap (LIT), rectilinear ion trap (RIT), toroidal ion trap, and cylindrical toroidal ion trap. Although toroidal ion traps are being used more widely in miniaturized mass spectrometers, there is a lack of fundamental understanding of how the toroidal electric field affects ion motion, and therefore, the ion trap's performance as a mass analyzer. Simulation programs can be used to discover how traps with toroidal geometry can be optimized. Potential mapping, field calculations, and simulations of ion motion were used to compare three types of toroidal ion traps: a symmetric and an asymmetric trap made using hyperbolic electrodes, and a simplified trap made using cylindrical electrodes. Toroidal harmonics, which represent solutions to the Laplace equation in a toroidal coordinate system, may be useful to understand toroidal ion traps. Ion trapping and ion motion simulations were performed in a timevarying electric potential representing the symmetric, secondorder toroidal harmonic of the second kind—the solution most analogous to the conventional, Cartesian quadrupole. This potential distribution, which we call the toroidal quadrupole, demonstrated nonideal features in the stability diagram of the toroidal quadrupole which were similar to that for conventional ion traps with higherorder field contributions. To eliminate or reduce these nonideal features, other solutions to the Laplace equation can be added to the toroidal quadrupole, namely the toroidal dipole, toroidal hexapole, toroidal octopole, and toroidal decapole. The addition of a toroidal hexapole component to the toroidal quadrupole provides improvement in ion trapping, and is expected to play an important role in optimizing the performance of all types of toroidal ion trap mass spectrometers.The cylindrical toroidal ion trap has been miniaturized for a portable mass spectrometer. The first miniaturized version (r0 and z0 reduced by 1/3) used the same central electrode and alignment sleeve as the original design, but it had too high of capacitance for the desired RF frequency. The second miniaturized version (R, r0, and z0 reduced by 1/3) was designed with much less capacitance, but several issues including electrode alignment and sample pressure control caused the mass spectra to have poor resolution. The third miniaturized design used a different alignment method, and its efficiency still needs to be improved.

Page generated in 0.0619 seconds