A method for the reconstruction of a spectrum of mechanical properties from phase-contrast, MR displacement data is developed and implemented via the finite element method. To overcome the significant computational load associated with...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
During an immune reaction to an invading pathogen, a population of lymphocytes with receptors that specifically recognize the pathogen are activated and become memory cells. Characteristically, memory lymphocytes persist for long periods of time...
Polynomials. Finite fields (Algebra). Algebraic functions. Number theory.
The ring of univariate polynomials over a finite field shares many foundational arithmetic properties with the ring of rational integers. This similarity makes it possible for many problems in elementary number theory to be translated 'through the...
The ubiquitous complexity of common diseases is one of the biggest challenges facing the field of personalized treatments and precision medicine. This complexity can be attributed to various sources such as the genetic make-up of an individual,...
Prostate cancer (PCa) recurrences are often predicted by assessing the status of surgical margins (SM) â€“ positive surgical margins (PSM) increase the chances of biochemical recurrence by 2-4 times which may lead to PCa recurrence. At present,...
We prove the existence of nontrivial multiparameter isospectral deformations of metrics on the classical compact simple Lie groups SO (n) (n = 9, n â‰¥11), Spin(n) (n = 9, n â‰¥11), SU (n) (n â‰¥7), and Sp (n) (n â‰¥5). The proof breaks into three...
The proliferation of mobile devices and other consumer products has greatly expanded the market for CMOS image sensors. This in turn has promoted a trend of continued improvement in image sensor performance, as companies seek to gain an advantage...
'The control of waves using periodic structures is crucial for modern optical, electromagnetic and acoustic devices such as diffraction gratings, filters, photonic crystals, solar cells, sensors, and absorbers. We present a high-order accurate...
In a variety of applications spanning mobile devices, performance computing, and even renewable energy and automotive, power management and power delivery are an increasing bottleneck in reducing size and cost, improving reliability, and even...
Today''s fastest microprocessors, logic chips, and even memory chips employ dynamic logic as the key part to achieving advanced performance. Dynamic logic only retains the correct data state briefly and is far less robust than previous technologies...
Automatic control -- Sensitivity. Structural control (Engineering). Strains and stresses -- Computer simulation. Structural analysis (Engineering). Engineering models.
Autonomous damage detection in engineering structures is critically important as the demands placed upon those structures are increased. It has been well established that damage detection can be done through monitoring the modal frequencies of the...
Second harmonic generation. ; Second harmonic generation -- Mathematical models. ; Glass -- Effect of infrared radiation on. ; Glass -- Electric properties.
Given graded C *-algebras A and B , we define the notion of an admissible pair ([straight phi], D ) for A and B . Associated to an admissible pair ([straight phi], D ) is an equivalence class of asymptotic morphisms from A to B . Under certain...
In this thesis we study 1=k-geodesics, those closed geodesics that minimize on any subinterval of length L=k, where L is the length of the geodesic. These curves arise as critical points of the uniform energy, a function introduced in Morse theory...
In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
We have investigated the role of the p38 MAP kinase pathway in regulating gene expression at the level of mRNA stability. The inhibitory effect of thalidomide on Tumor Necrosis Factor (TNF)Î± production was characterized. Activation of the MAPK...
Goldman and Turaev constructed a Lie bialgebra structure on the free Z-module generated by free homotopy classes of loops on an oriented surface. Turaev conjectured that the cobracket of A is zero if and only if A is a power of a simple class. Chas...
Bayesian nonparametric methods have become increasingly popular in machine learning for their ability to allow the data to determine model complexity. In particular, Bayesian nonparametric versions of common latent variable models can learn as...
Stereoscopic views photographed and published by G. O. Bly Hanover NH Dartmouth Class Crew, '78 no.1 E. R. Darling, Bow No.2 F. L Gerrish No.3 L. Parkhurst Capt. No.4 N. W. Norton No.5 J.B. Gerould Stroke S.S. White
Stereoscopic views photographed and published by D. O. Bly Hanover NH Dartmouth Class Crew, '78 no.1 E. R. Darling Bow no.2 F. L. Gerrish no.3 L. Parkhurst, Capt. no.4 N. W. Norton no.5J.B. Gerould Stroke S. S. White
Stereoscopic views photographed and published by D. O. Bly Hanover NH Dartmouth Class Crew, '78 no.1 E. R. Darling, Bow No.2 F. L Gerrish No.3 L. Parkhurst Capt. No.4 N. W. Norton No.5 J.B. Gerould Stroke S.S. White
Three-dimensional imaging in medicine -- Mathematical models. ; Stereoencephalotomy.
In the past, clinicians skilled at image-guided neurosurgery have relied solely on pre-operative scans for their navigational information. Often in the course of surgery, tissue is purposely retracted/resected or inadvertently moved resulting in a...
Nucleotide sequence -- Data processing. Linkage (Genetics) -- Data processing. Computer algorithms. Human population genetics. Medical Term Base Pairing -- genetics. Base Sequence -- genetics. Genome wide association studies.
This thesis investigates techniques for the discovery and use of phase information in genetic studies. ""Phase"" refers to the precise assignment of the members of a different base pairs at the same genomic locus to two possible candidate...
Constructibility (Set theory). Trees (Graph theory).
This thesis investigates possible initial segments of the degrees of constructibility. Specifically, we completely characterize the structure of degrees in generic extensions of the constructible universe L via forcing with Souslin trees. Then we...
We present aligned hierarchies, a novel solution to the dimension reduction problem, representing high-dimensional and noisy sequential data as a low-dimensional object that encodes relevant information. In this thesis, we motivate our presentation...