Results 21 to 30 of about 74 (71)

A 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. Campbell
wiley   +1 more source

A family of partitions with attached parts and 'N copies of N'

, 2015
in this paper we find two distinct combinatorial interpretations for a family of summations with several free parameters. In one case we used partitions with attached parts and in the other partitions with 'N copies of N'.
Mondek, P, Santos, JPO
core   +1 more source

New congruences Modulo 5 and 9 for partitions with odd parts distinct

, 2021
Let pod(n) denote the number of partitions of an integer n wherein the odd parts are distinct. Recently, a number of congruences for pod(n) have been established.
Xue, Fanggang, Yao, Olivia X.M., Fang, Houqing   +2 more
core  

Use 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 more
wiley   +1 more source

A note on λ-analogue of Lah numbers and λ-analogue of r-Lah numbers

Demonstratio Mathematica
In this study, we introduce the λ\lambda -analogue of Lah numbers and λ\lambda -analogue of rr-Lah numbers in the view of degenerate version, respectively.
Kim Taekyun, Kim Hye Kyung
doaj   +1 more source

On the proportion of derangements in affine classical groups

Forum of Mathematics, Sigma
We derive exact formulas for the proportions of derangements and of derangements of p-power order in the affine classical groups $\operatorname {\mathrm {AU}}_m(q)$ , $\operatorname {\mathrm {ASp}}_{2m}(q)$ , $\operatorname {\mathrm {AO ...
Jessica Anzanello
doaj   +1 more source

The Number of Parts of Given Multiplicity in a Random Integer Partition [PDF]

, 2007
2000 Mathematics Subject Classification: 05A16, 05A17.Let Xm,n denote the number of parts of multiplicity m in a random partition of the positive integer n.
Kamenov, Emil
core  

Hyperbinary partitions and q-deformed rationals

Forum of Mathematics, Sigma
A hyperbinary partition of the nonnegative integer n is a partition where every part is a power of $2$ and every power of $2$ appears at most twice.
Thomas McConville, James Propp, Bruce Sagan   +2 more
doaj   +1 more source

Congruences involving generalized Frobenius partitions

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 413-415, 1993.
James Sellers
wiley   +1 more source

Calibration of high voltages at the ppm level by the difference of $^{83\mathrm{m}}$Kr conversion electron lines at the KATRIN experiment

, 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, Haussmann, N., 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   +424 more
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