Karl Hugo Kronecker (27 January 1839 – 6 June 1914) was a German physiologist from Liegnitz, Prussian Silesia. He was the brother of Leopold Kronecker.
He studied medicine in Berlin, Heidelberg and Pisa, and received the M.D. degree in Berlin. From 1868, he worked in the Leipzig Physiological Institute, (later known as Carl Ludwig Institute of Physiology with Carl Ludwig. He received habilitation (permission to lecture) in 1872 with a thesis on fatigue and recovery of skeletal muscles.
In 1878, he moved to Berlin to become department director in the Physiological Institute. In 1885, he was appointed chairman of Physiology at the University of Bern, Switzerland. There he built a new Institute of Physiology.
Kronecker received the honorary Doctor of Laws (LL.D) from the University of Glasgow in June 1901.[1]
He died in Bad Nauheim.
Hugo Kronecker and his learner Samuel James Meltzer were the first, who studied (in 1883) oesophageal manometry in humans.[2]
^"Glasgow University Jubilee". The Times. No. 36481. London. 14 June 1901. p. 10. Retrieved 5 January 2024 – via Newspapers.com.
^Meltzer A. (2000). "Samuel James Meltzer, M.D. March 22, 1851 — November 7, 1920". Proceedings of the Society for Experimental Biology and Medicine. 223: 114–117. doi:10.1111/j.1525-1373.2000.22316.x. Previously published in PMID 3550812
Karl HugoKronecker (27 January 1839 – 6 June 1914) was a German physiologist from Liegnitz, Prussian Silesia. He was the brother of Leopold Kronecker. He...
Kronecker is a German surname. Notable people with the surname include: HugoKronecker (1839–1914), German physiologist, brother of Leopold Leopold Kronecker...
home—Leopold's younger brother HugoKronecker would also follow a scientific path, later becoming a notable physiologist. Kronecker then went to the Liegnitz...
In mathematics, the Kronecker product, sometimes denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a...
photograph of Hermann Helmholtz, his wife (seated) and academic friends HugoKronecker (left), Thomas Corwin Mendenhall (right), Henry Villard (center) during...
the brain affected blood vessels. Cushing also enlisted the aid of HugoKronecker, a known blood pressure researcher. Utilizing Kroenecker's assistance...
the properties of some liver cells now called Kupffer cells. In 1883, HugoKronecker and Samuel James Meltzer studied oesophageal manometry in humans. In...
Carl Hilty, Eugen Huber Medicine Jakob Klaesi, Emil Theodor Kocher, HugoKronecker, Theodor Langhans, Ludwig Lichtheim, Maurice Edmond Müller, Fritz de...
Gentile Anna Camaiti Hostert Eufrosin Poteca Jiyuan Yu Physiologist HugoKronecker (1839–1914) Tenors Andrea Bocelli and Francesco Rasi Notable people...
Hermann von Helmholtz and his wife (seated), HugoKronecker (left), Henry Villard(center) and Thomas Corwin Mendenhall (right)—taken at the studio of Mathew...
photograph of Hermann Helmholtz, his wife (seated) and academic friends HugoKronecker (left), Thomas Corwin Mendenhall (right), Henry Villard (center standing)...
Berlin where he gained his MD in 1882. The next year, he and his teacher HugoKronecker were among the first to study (in 1883) esophageal manometry in humans...
at University College, London, MacWilliam worked with physiologists HugoKronecker at Bern, and Carl Ludwig, director of the Physiological Institute at...
he moved to Bern, where he worked in the physiological institute of HugoKronecker (1839–1914). During World War I he was a military physician in Strasbourg...
brought him into contact with, among others, Ray Lankester, Angelo Mosso, HugoKronecker and Carl von Voit. Bowditch was appointed assistant professor of physiology...
at the University of Berlin as a student of Emil du Bois-Reymond and HugoKronecker, obtaining his medical doctorate in 1885. Later on, he was an assistant...
the Arris and Gale lectures on anatomy and physiology in 1880–2. With HugoKronecker, Yeo inaugurated the triennial international physiological congresses;...
University of Strasbourg in 1883. Subsequently, he became an assistant to HugoKronecker at the Institute of Physiology in Bern, and afterwards served as an...
Schmiedeberg at Straßburg, German Empire and six months in Bern under HugoKronecker, from whom he learned elements of physiological technique. Then in 1893...
(1862–1931) James Thomas Wilson (1861–1945) George Ellery Hale (1868–1938) HugoKronecker (1839–1914) Charles Emile Picard (1856–1941) Santiago Ramon y Cajal...
n\in \mathbb {Z} } where δ m , n {\displaystyle \delta _{m,n}} is the Kronecker delta. Gradshteyn and Ryzhik Toyesh Prakash Sharma, Etisha Sharma, "Putting...
proof created more trouble than Hilbert could have imagined. Although Kronecker had conceded, Hilbert would later respond to others' similar criticisms...
(1880–1962), surgeon Adolph Wilhelm Hermann Kolbe (1818–1884), chemist Leopold Kronecker (1823–1891), mathematician Ernst Eduard Kummer (1810–1893), mathematician...
s_{j})\,} where δ ( s i , s j ) {\displaystyle \delta (s_{i},s_{j})} is the Kronecker delta, which equals one whenever s i = s j {\displaystyle s_{i}=s_{j}}...
Adolf Hurwitz, mathematician Carl Gustav Jakob Jacobi, analysis Leopold Kronecker, number theory Edmund Landau, number theory Rudolf Lipschitz, mathematician...
exams which were held by Helmholtz and Kirchhoff in physics, Leopold Kronecker in mathematics and Eduard Zeller in philosophy. In February 1884 he took...
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