Results 21 to 30 of about 79 (76)
Congruences involving F‐partition functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 187-188, 1994., 1994 The primary goal of this note is to prove the congruence ϕ3(3n + 2) ≡ 0(mod3), where ϕ3(n) denotes the number of F‐partitions of n with at most 3 repetitions. Secondarily, we conjecture a new family of congruences involving cϕ2(n), the number of F‐partitions of n with 2 colors.James Sellerswiley +1 more sourceA new class of infinite products, and Euler′s totient
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 417-422, 1994., 1993 We introduce some new infinite products, the simplest being where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q ≠ 1. The idea of a q‐analogue for the Euler totient function is suggested.Geoffrey B. Campbellwiley +1 more sourceCalibration of high voltages at the ppm level by the difference of $^{83\mathrm{m}}$Kr conversion electron lines at the KATRIN experiment [PDF]
, 2018 International audienceThe neutrino mass experiment KATRIN requires a stability of 3 ppm for the retarding potential at − 18.6 kV of the main spectrometer.Poon, A., Ryšavý, M, H. Seitz-Moskaliuk, Arenz, M., Brunst, T., Poon, A. W P, Howe, M. A., Poon, A.W.P., Dyba, S, Marsteller, A., Thorne, L., Parno, DS, S. Enomoto, M. Weber, C. Rodenbeck, Doe, P.J., Erhard, M., A. Gonzalez Ureña, Beck, M, Grössle, R, Roccati, F., Huber, A., Franklin, G. B., O. Dragoun, Gonzalez Ureña, A., Rest, O, Huber, A, D. Hillesheimer, Ranitzsch, P.C.-O., Choi, WQ, Furse, D., Schönung, K, Rodenbeck, C, T. Bode, Schlösser, K., Wolf, J., Harms, F, Steidl, M., Berendes, R., D. Furse, Mertens, S., Monreal, B, Baek, W., Kleesiek, M, Priester, F, Ureña Gonzalez, A., Choi, W., Buzinsky, Nicholas Gregory, Herz, W, Hernández, A. P V, Bornschein, B., M. Schrank, N. Buzinsky, M. Sturm, Berlev, A., Parno, D. S., Grohmann, S., González Ureña, Ángel, Schlösser, M., Howe, M. A, Monreal, B., Off, A., Kippenbrock, L., Heizmann, F., Buzinsky, N, Suchopar, M., M. Machatschek, Hillesheimer, D., Hernández Vizcaya, A., Pollithy, A., Robertson, R., Enomoto, S, Osipowicz, A., S. Mirz, Telle, H.H., Gumbsheimer, R, Tkachev, I., M. Klein, Ranitzsch, P. C, Neumann, H., Fischer, S, M. Deffert, C. Weinheimer, Hannen, V, Choi, W. Q., Gil, W., Röttele, C., M. Suchopar, Otten, E, Poon, A. W. P., Osipowicz, A, J. Sentkerestiová, Edzards, F., Hilk, D, J. F. Wilkerson, Mertens, S, Howe, M.A., Letnev, J, N. Kernert, Friedel, F., Hackenjos, M., G. Drexlin, R. Sack, Eitel, K, Doe, P. J., R. Engel, Kopmann, A., A. Kopmann, K. Helbing, Otten, E., Off, A, M. Fedkevych, J. Kellerer, Telle, H. H, L. Kuckert, L. Kippenbrock, A. Saenz, J. Wolf, F. Priester, Erhard, M, Lasserre, T, Saenz, A., Kellerer, J., Fränkle, F.M., Furse, Daniel Lawrence, Krasch, B, Haußmann, N, Gumbsheimer, R., Röllig, M, Lebeda, O., Dyba, S., Berlev, A, Jansen, A, C. Röttele, Vizcaya Hernández, A.P., Lokhov, A., S. Bauer, Lokhov, A, Dragoun, O., A. W. P. Poon, L. A. Thorne, Thorne, L.A., S. Niemes, A. Kovalík, Parno, D.S., Beck, M., KATRIN Collaboration, W. Herz, Choi, W.Q., Grössle, R., O. Lebeda, Bode, T., K. Eitel, Poon, AWP, Buglak, W, Hackenjos, M, Schönung, K., S. Hickford, Schlösser, K, Schlösser, M, J. Behrens, Ranitzsch, P. C.-O., Thorne, L. A, Wilkerson, J. F, Saenz, A, Engel, R, S. Dyba, Thümmler, T., Fulst, A., Lasserre, T., W. Buglak, S. Grohmann, Buzinsky, N., Glück, F, Marsteller, A, Fedkevych, M., Schrank, M., Ureña, A. G, Behrens, J, Wandkowsky, N., E. Otten, Dragoun, O, A. Osipowicz, H. Neumann, Hillesheimer, D, Wilkerson, J. F., M. Steidl, Bauer, S., B. Bornschein, Weber, M., Fedkevych, M, R. Grössle, Kellerer, J, Blaum, K, Engel, R., A. Berlev, J. A. Formaggio, Krasch, B., Kovalík, A., Zadoroghny, S., W. Gil, Formaggio, J. A., R. Vianden, Vianden, R., Chilingaryan, S, Formaggio, JA, Baek, W.-J., Martin, EL, M. Arenz, Wilkerson, J., Blaum, K., D. Hilk, Besserer, U., Thorne, L. A., P. J. Doe, E. L. Martin, Baek, W-J, Formaggio, J., Steinbrink, N., A. P. Vizcaya Hernández, Kuckert, L., Wilkerson, J.F., Letnev, J., Martin, E., Robertson, R. G. H., Harms, F., Priester, F., Kopmann, A, P. C.-O. Ranitzsch, A. Jansen, Rodenbeck, C., E. Ellinger, Röllig, M., Ellinger, E., C. Weiss, Robertson, R. G H, K. Blaum, Kleesiek, M., Weiss, C., S. Fischer, Deffert, M, Drexlin, G., J. Letnev, A. Huber, Drexlin, G, Baek, W.-J, Bornschein, L., Martin, E. L, Sibille, Valerian, L. Bornschein, F. Heizmann, Kraus, M., Vénos, D., Besserer, U, Neumann, H, Telle, H. H., W. Q. Choi, K. Schlösser, N. Trost, Gil, W, Doe, P., Hickford, S., M. Kleesiek, Téllez Nieto, Heréndira, Chilingaryan, S., Howe, MA, Bergmann, T, Schimpf, L., F. Glück, I. Tkachev, Bornschein, B, A. Marsteller, Howe, M., J. Wendel, M. Röllig, Ureña, A. Gonzalez, Bornschein, L, Buglak, W., Bode, T, Formaggio, Joseph A, M. Suesser, Schimpf, L, Welte, S., Fränkle, F., Brunst, T, Franklin, GB, S. Zadoroghny, A. Fulst, Fränkle, F. M, Franklin, G., Hernández, A. P. Vizcaya, Fränkle, FM, Korzeczek, M., D. Eversheim, Schrank, M, M. Schlösser, Doe, PJ, M. Erhard, Sack, R., O. Rest, Niemes, S, Bergmann, T., Behrens, J., H. H. Telle, Valerius, K., Fischer, S., Roccati, F, Jansen, A., Beglarian, A., B. Monreal, Formaggio, J.A., M. Beck, L. Schimpf, Pollithy, A, Grohmann, S, Niemes, S., Berendes, R, Baek, W.J., Hickford, S, A. Beglarian, A. Pollithy, S. Welte, Weinheimer, C., Kippenbrock, L, S. Wüstling, M. Slezák, A. Lokhov, Arenz, M, Kernert, N., Deffert, M., R. Berendes, Seitz-Moskaliuk, H., N. Haußmann, Robertson, R.G.H., Franklin, G.B., Slezák, M., T. Bergmann, Enomoto, S., Fränkle, F. M., V. Hannen, Ellinger, E, Wüstling, S., Kraus, M, U. Besserer, Mirz, S, Beglarian, A, Ranitzsch, P., Doe, P. J, Seitz-Moskaliuk, H, Hilk, D., F. Edzards, R. Gumbsheimer, A. Off, N. Titov, Parno, D. S, Ranitzsch, PC-O, Eversheim, D., Friedel, F, Röttele, C, Telle, H., Franklin, G. B, N. Steinbrink, Suesser, M., F. M. Fränkle, Machatschek, M., Glück, F., K. Valerius, Kuckert, L, Choi, W. Q, W.-J. Baek, F. Friedel, M. Kraus, Martin, E.L., Sibille, V., T. Lasserre, Helbing, K, S. Chilingaryan, T. Brunst, Trost, N., V. Sibille, Edzards, F, Sack, R, Rest, O., Eitel, K., D. Vénos, S. Mertens, G. B. Franklin, N. Wandkowsky, Titov, N., Helbing, K., M. A. Howe, M. Hackenjos, Herz, W., Klein, M., Fulst, A, Ureña, A Gonzalez, Ryšavý, M., M. Korzeczek, Parno, D., B. Krasch, D. S. Parno, Kernert, N, M. Ryšavý, Sturm, M., Heizmann, F, Kovalík, A, Hannen, V., Mirz, S., F. Roccati, Machatschek, M, Martin, E. L., F. Harms, Wendel, J., Sentkerestiová, J., Bauer, S, Furse, D, Lebeda, O, Korzeczek, M, Robertson, RGH, T. Thümmler, K. Schönung, Eversheim, D, Klein, M, R. G. H. Robertson, Dyba S, Tkachev I, Sentkerestiova J, Frankle FM, Edzards F, Titov N, Grohmann S, Niemes S, Bornschein L, Sibille V, Vianden R, Bornschein B, Grossle R, Gluck F, Erhard M, Berlev A, Klein M, Valerius K, Sturm M, Bode T, Kleesiek M, Eitel K, Schrank M, Schimpf L, Doe PJ, Brunst T, Weiss C, Fedkevych M, Formaggio JA, Furse D, Schlosser M, Wolf J, Schlosser K, Kuckert L, Bergmann T, Kippenbrock L, Neumann H, Parno DS, Kopmann A, Thummler T, Kovalik A, Bauer S, Berendes R, Baek WJ, Sack R, Letnev J, Off A, Ranitzsch PCO, Behrens J, Rottele C, Buglak W, Mirz S, Hackenjos M, Dragoun O, Jansen A, Zadoroghny S, Helbing K, Gil W, Choi WQ, Kraus M, Otten E, Enomoto S, Chilingaryan S, Slezak M, Wandkowsky N, Hernandez APV, Lebeda O, Wustling S, Lokhov A, Besserer U, Fulst A, Hickford S, Priester F, Thorne LA, Arenz M, Korzeczek M, Rysavy M, Friedel F, Welte S, Huber A, Hannen V, Poon AWP, Mertens S, Monreal B, Heizmann F, Osipowicz A, Rodenbeck C, Hilk D, Suesser M, Harms F, Rest O, Eversheim D, Robertson RGH, Deffert M, Saenz A, Telle HH, Franklin GB, Suchopar M, Haussmann N, Weber M, Machatschek M, Buzinsky N, Lasserre T, Venos D, Drexlin G, Trost N, Martin EL, Fischer S, Beck M, Hillesheimer D, Pollithy A, Krasch B, Weinheimer C, Engel R, Blaum K, Steinbrink N, Marsteller A, Rollig M, Urena AG, Howe MA, Kernert N, Herz W, Steidl M, Wilkerson JF, Roccati F, Kellerer J, Schonung K, Gumbsheimer R, Ellinger E, Beglarian A, Wendel J, Seitz-Moskaliuk H, Haussmann, N. +556 morecore +1 more sourceUse of a Cytobrush for Sampling the Ear Canal of Dogs With Otitis Externa
Veterinary Dermatology, Volume 37, Issue 2, Page 227-235, April 2026.Cytological examination of the ear canal is essential for evaluating dogs with otitis externa (OE). The conventional sampling method uses a swab. However, the cytobrush (gynaecological cervical brush), already used for cytological collection from other anatomical sites, has not been adequately investigated for this purpose in dogs with OE.Nicoly Radaeli Atanasio, Gabriela Reis Ledur, Danilo Marcondes Filho, Daniel Guimarães Gerardi +3 morewiley +1 more sourceMeasures and generalizations of dual Littlewood identities
Forum of Mathematics, SigmaWe introduce three families of vectors
|λ―so⟩
$|\underline {\lambda }^{so}\rangle $
vertical bar lamda underbar Superscript s o Baseline right angle bracket
,
|λ―sp⟩
$|\underline {\lambda }^{sp}\rangle $
vertical bar lamda underbar Superscript s Zhongren Cai, Bin Jiang, Naihuan Jing, Zhijun Li, Qianyi Ye +4 moredoaj +1 more source
