Grassmann

A. Bubendorf, A. Deynet-Vucenovic, R. Diodone, O. Grassmann, K. Lindenstruth,... 

Kirchgessner, M., F.J. Schwarz, E. Grassmann, and H. Steinhart. 1979. Interactions of copper with other trace elements. Pages 433-472 in J.O. Nriagu (ed.). Copper in the Environment. Part 2 Health Effects. John Wiley, NY. 

These numbers do not obey all of the laws of the algebra of complex numbers. They add like complex numbers, but their multiplication is not commutative. The general rules of multiplication of n-dimensional hypercomplex numbers were investigated by Grassmann who found a number of laws of multiplication, including Hamilton s rule. These methods still await full implimentation in physical theory. 

E Wiinsch, H-G Heidrich, W Grassmann. Synthesis of Lys19-bradykinin and Lys210-kallidin. Chem Ber 97, 1818, 1964. 

PALOHEIMO, L.(1969). Weender Analyse. In W.LEMKEIT, K.BREIREM and E.GRASSMANN (Hrsg.). Handbuch der Tieremahrung, Bd. 1, S. 164-171, Verlag Parey, Berlin, Hamburg. 

Harms, W., T. Rothamel, K. Miller, G. Harste, M. Grassmann, and A. Heim. 2001. Characterization of human myocardial fibroblasts immortalized by HPV16 E6-E7 genes. Exp Cell Res 268(2) 252-61. 

Grassmann s laws analy chem Seven laws of color Identification and mixing that form the basis of modern analytical colorimetry. gras-monz, l6z grating See diffraction grating. grad-lri ... 

J. E. Harriman, Grassmann products, cumulants, and two-electron reduced density matrices. Phys. Rev. A 65, 052507 (2002). 

VIII. A Look Ahead Acknowledgments Appendix Grassmann Products References... 

In the contraction of any wedge product the position of the upper and lower indices generates two types of terms in Grassmann algebra [26] (i) pure contraction terms where the upper and lower contraction indices appear on the same component of the wedge product, and (ii) transvection terms, where the upper and lower contraction indices appear on different components of the wedge product. To illustrate, we consider the contraction of the wedge product between A and A ... 

The connected stmcture of the CSE has also been explored by Yasuda [23] using Grassmann algebra, by Kutzelnigg and Mukheijee [27] using a cumulant version of second-quantized operators, and by Herbert and Harriman [30] using a diagrammatic technique. 

J. M. Herbert and J. E. Harriman, Contraction relations for Grassmann products of reduced density matrices and implications for density matrix reconstruction. J. Chem. Phys. 117, 7464 (2002). 

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