Abstract. Theidentifiabilityofparametersinaprobabilisticmodelisacrucialnotioninstatistical inference. We prove that a general tensor of rank 8... Show moreAbstract. Theidentifiabilityofparametersinaprobabilisticmodelisacrucialnotioninstatistical inference. We prove that a general tensor of rank 8 in C3 ⊗ C6 ⊗ C6 has at least 6 decompositions as sum of simple tensors, so it is not 8-identifiable. This is the highest known example of balanced tensors of dimension 3, which are not k-identifiable, when k is smaller than the generic rank. Show less
In [2] Buczyn ́ska and Wi ́sniewski showed that the Hilbert polynomial of the algebraic variety associated to the Jukes-Cantor binary model on... Show moreIn [2] Buczyn ́ska and Wi ́sniewski showed that the Hilbert polynomial of the algebraic variety associated to the Jukes-Cantor binary model on a trivalent tree depends only on the number of leaves of the tree and not on its shape. We ask if this can be generalized to other group-based models. The Jukes-Cantor binary model has Z2 as the underlying group. We consider the Kimura 3-parameter model with Z2 × Z2 as the underlying group. We show that the generalization of the statement about the Hilbert polynomials to the Kimura 3-parameter model is not possible as the Hilbert polynomial depends on the shape of a trivalent tree. Show less
Photograph of the east facade of Main Building on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date... Show morePhotograph of the east facade of Main Building on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate. Show less
Photograph of northeast corner of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date... Show morePhotograph of northeast corner of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate. Show less
Photograph of the north facade of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date... Show morePhotograph of the north facade of Armour Mission on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate. Show less
Photograph of the south facade of Machinery Hall on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date... Show morePhotograph of the south facade of Machinery Hall on the Armour Institute of Technology campus. Photographer unknown, possibly C.V. Smith. Date of photograph unknown. Date indicated is an estimate. Show less
Photograph of Frank Gunsaulus. Gunsaulus' "Million Dollar Sermon" inspired Philip D. Armour to fund the creation the Armour Institute of... Show morePhotograph of Frank Gunsaulus. Gunsaulus' "Million Dollar Sermon" inspired Philip D. Armour to fund the creation the Armour Institute of Technology. Gunsaulus was the Armour Institute's first President, and served for almost 30 years. Show less
Photograph of the Armour Mission kindergarten students and staff for the 1894-45 school year. Instituted with the founding of the Armour... Show morePhotograph of the Armour Mission kindergarten students and staff for the 1894-45 school year. Instituted with the founding of the Armour Mission in 1886, the kindergarten program was run by Mary Ely until it was closed in the fall of 1918. Photographer unknown. Show less
This is the final report and analysis of activities conducted as part of Environmental Monitoring of University Archives and Special... Show moreThis is the final report and analysis of activities conducted as part of Environmental Monitoring of University Archives and Special Collections, a project funded by a Preservation Assistance Grant from the National Endowment of the Humanities (PG-263471-19). This grant was awarded to support the first evercsystematic environmental monitoring of the UASC spaces. This report includes a summary of the collected data, analysis of the data, and potential future activities to be undertaken as a result of the grant activities and the data collected. Sponsorship: National Endowment For The Humanities, Preservation Assistance Grants for Smaller Institutions Show less
Color slide depicting the intersection of 35th Street and South State Street, looking northeast. Photographer unknown, possibly a member of... Show moreColor slide depicting the intersection of 35th Street and South State Street, looking northeast. Photographer unknown, possibly a member of the university's Department of Public Relations. Show less
Photograph of László Moholy-Nagy with hand sculptures. Photographer unknown. Date of photograph unknown. Date listed is approximate, based on... Show morePhotograph of László Moholy-Nagy with hand sculptures. Photographer unknown. Date of photograph unknown. Date listed is approximate, based on notation found adjacent to photograph. Show less
Experimental Design and Analysis textbook originally written for use in 36-309/749, Experimental Design for Behavioral and Social Sciences at... Show moreExperimental Design and Analysis textbook originally written for use in 36-309/749, Experimental Design for Behavioral and Social Sciences at Carnegie Mellon University. Show less
Colicins are antimicrobial proteins produced by Escherichia coli that hold great promise as viable complements or alternatives to antibiotics.... Show moreColicins are antimicrobial proteins produced by Escherichia coli that hold great promise as viable complements or alternatives to antibiotics. Cell-free protein synthesis (CFPS) is a useful production platform for toxic proteins because it eliminates the need to maintain cell viability, a common problem in cell-based production. Previously, we demonstrated that colicins produced by CFPS based on crude Escherichia coli lysates are e?ective in eradicating antibiotic-tolerant bacteria known as persisters. However, we also found that some colicins have poor solubility or low cell-killing activity. In this study, we improved the solubility of colicin M from 16% to nearly 100% by producing it in chaperone-enriched E. coli extracts, resulting in enhanced cell-killing activity. We also improved the cytotoxicity of colicin E3 by adding or co-expressing the E3 immunity protein during the CFPS reaction, suggesting that the E3 immunity protein enhances colicin E3 activity in addition to protecting the host strain. Finally, we con?rmed our previous ?nding that active colicins can be rapidly synthesized by observing colicin E1 production over time in CFPS. Within three hours of CFPS incubation, colicin E1 reached its maximum production yield and maintained high cytotoxicity during longer incubations up to 20 h. Taken together, our ?ndings indicate that colicin production can be easily optimized for improved solubility and activity using the CFPS platform. Sponsorship: NIH R15AI130988 Show less
Photograph of an unidentified Chicago School of Design or Institute of Design student applying what appears to be plaster to a constructed... Show morePhotograph of an unidentified Chicago School of Design or Institute of Design student applying what appears to be plaster to a constructed form. Photographer unknown. Date of photograph unknown. Date listed is approximate. Show less
Experimental Design and Analysis textbook originally written for use in 36-309/749, Experimental Design for Behavioral and Social Sciences at... Show moreExperimental Design and Analysis textbook originally written for use in 36-309/749, Experimental Design for Behavioral and Social Sciences at Carnegie Mellon University. Show less
Flyer advertising available leases for Gunsaulus Hall apartments, posted in May 1952. Gunsaulus Hall was designed by Skidmore, Owings &... Show moreFlyer advertising available leases for Gunsaulus Hall apartments, posted in May 1952. Gunsaulus Hall was designed by Skidmore, Owings & Merrill and was constructed in 1949-1950. Show less