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1. Extensions of the bounded real lemma of discrete-time systems

Author

Harald K. Wimmer

Subjects
Lemma (mathematics), Pure mathematics, Fatou's lemma, Bramble–Hilbert lemma, Control and Systems Engineering, Bounded function, Aubin–Lions lemma, Céa's lemma, Borel–Cantelli lemma, Computer Science Applications, Sobolev spaces for planar domains, Mathematics
Published
2000

2. Mercuric-Ion-Induced Gene Expression inArabidopsis thaliana

Author

Dieter Ernst, Heinrich Sandermann, Bernd Heidenreich, and Harald K. Seidlitz

Subjects
food.ingredient, Ecotype, biology, Abiotic stress, chemistry.chemical_element, Plant Science, medicine.disease_cause, biology.organism_classification, Pollution, Mercury (element), food, chemistry, Botany, Gene expression, medicine, Environmental Chemistry, Agar, Arabidopsis thaliana, Gene, Oxidative stress
Abstract

Fourteen ecotypes of Arabidopsis thaliana were grown on agar, containing up to 40 μM HgCl2. Two groups could be identified: (1) sensitive ecotypes growing only up to 30 μM and (2) tolerant ecotypes growing at 40 μM. The tolerant ecotypes accumulated up to 100 mg mercury/kg fresh weight in their rosettes. Arabidopsis thaliana wild-type Columbia (Col-wt) was analyzed in more detail and showed an exponential mercury accumulation with increasing Hg2+-concentrations in the medium. Increasing Hg2+-concentrations resulted in a delayed growth of the plants. The roundish shape of the leaves changed to a more elongated form, and the leaf color changed from dark green to bright green. Hg2+-induced transcripts of several genes known to be induced by oxidative stress were measured and compared with the induction by ozone and UV-B. Glutathione-S-transferase (GST1) and several pathogenesis-related protein (PR) mRNAs were not induced in plants grown on Hg2+-containing medium. However, ozone fumigation increased ...

Published
1999

4. Hermitian solutions of the discrete-time algebraic Riccati equation

Author

Harald K. Wimmer

Subjects
Pure mathematics, Mathematics::History and Overview, Mathematical analysis, Optimal control, Linear subspace, Hermitian matrix, Computer Science Applications, Algebraic Riccati equation, Algebraic equation, Control and Systems Engineering, Riccati equation, Uniqueness, Invariant (mathematics), Mathematics
Abstract

This paper deals with the existence and uniqueness of unmixed solutions of the discrete-time algebraic Riccati equation (DARE). Sets of solutions of the DARE are parametrized by invariant subspaces of the state transition matrix.

Published
1996

5. Existence of positive-definite and semidefinite solutions of discrete-time algebraic Riccati equations

Author

Harald K. Wimmer

Subjects
Algebraic solution, Mathematical analysis, Mathematics::Optimization and Control, Linear-quadratic regulator, Computer Science Applications, Algebraic Riccati equation, Algebraic equation, Control and Systems Engineering, Real algebraic geometry, Riccati equation, Applied mathematics, Algebraic number, Differential algebraic geometry, Mathematics
Abstract

The discrete-time algebraic Riccati equation is studied. Necessary and sufficient conditions for the existence of positive-definite and positive-semidefinite solutions are given.

Published
1994

17. A factorization of the generalized bezoutian of polynomial matrices

Author

Harald K. Wimmer

Subjects
Pure mathematics, Algebra and Number Theory, Factorization, Stable polynomial, Irreducible polynomial, Factorization of polynomials, Polynomial matrix, Monic polynomial, Square-free polynomial, Matrix polynomial, Mathematics
Published
1988

18. Polyethylene for Correction of Nasal Deformities

Author

Harald K. Kristensen

Subjects
Materials science, business.industry, Dentistry, General Medicine, Nose, Polyethylene, chemistry.chemical_compound, Otorhinolaryngology, chemistry, Humans, Medicine, Surgery, Polyethylenes, business
Published
1953

19. Sur Les Encéphalites Otogènes

Author

Harald K. Kristensen

Subjects
Otorhinolaryngology, business.industry, Medicine, General Medicine, business, medicine.disease, Virology, Encephalitis
Published
1948

20. Quantitative Studies on the Function of Smell

Author

Kaj Zilstorff-Pedersen and Harald K. Kristensen

Subjects
Smell, Otorhinolaryngology, Humans, General Medicine, Function (mathematics), Neuroscience, Mathematics
Abstract

(1953). Quantitative Studies on the Function of Smell. Acta Oto-Laryngologica: Vol. 43, No. 6, pp. 537-544.

Published
1953

21. Caloric Reactions in Guinea Pig and Rabbit

Author

Harald K. Kristensen

Subjects
medicine.medical_specialty, Chemistry, Guinea Pigs, Caloric theory, Rabbit (nuclear engineering), General Medicine, Nystagmus, Pathologic, Guinea pig, Endocrinology, Otorhinolaryngology, Internal medicine, medicine, Animals, Rabbits, Cervical Atlas, Axis, Cervical Vertebra
Published
1954

23. Weaver's Deafness

Author

Harald K. Kristensen

Subjects
Otorhinolaryngology, business.industry, Medicine, General Medicine, business
Published
1946

28. Histopathology in Ménière's Disease

Author

Harald K. Kristensen

Subjects
medicine.medical_specialty, Pathology, business.industry, fungi, food and beverages, General Medicine, medicine.disease, Peripheral, Otorhinolaryngology, otorhinolaryngologic diseases, medicine, Humans, Histopathology, sense organs, skin and connective tissue diseases, business, Meniere Disease, Meniere's disease
Abstract

Besides the well-known and established pressure changes in the endolymphatic system pronounced degenerative changes of the peripheral acoustic system can be demonstrated.

Published
1961

29. Acoustic-Vestibular and Histologic Examinations in Guinea-Pigs After Interruption of Membranous Labyrinth in Semicircular Canals Or Cochlea

Author

Harald K. Kristensen

Subjects
Vestibular system, business.industry, Guinea Pigs, Membranous labyrinth, General Medicine, Anatomy, Semicircular Canals, Cochlea, medicine.anatomical_structure, Otorhinolaryngology, Ear, Inner, embryonic structures, Humans, Medicine, Vestibule, Labyrinth, sense organs, business
Abstract

As mentioned in a former publication the author some years ago performed a series of operative procedures on guinea-pigs' labyrinths in order to examine histologically what happened to the labyrint...

Published
1960

31. On a weighted mean inequality for nonnegative symmetric matrices

Author

Harald K. Wimmer

Subjects
Combinatorics, Algebra and Number Theory, Power sum symmetric polynomial, Triple system, Symmetric matrix, Elementary symmetric polynomial, Complete homogeneous symmetric polynomial, Nonnegative matrix, Ring of symmetric functions, Mathematics, Symmetric closure
Published
1985

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