We present a numerical algorithm for finding real non-negative solutions to a certain class of polynomial... Show moreWe present a numerical algorithm for finding real non-negative solutions to a certain class of polynomial
equations. Our methods are based on the expectation maximization and iterative proportional fitting algorithms,
which are used in statistics to find maximum likelihood parameters for certain classes of statistical models.
Since our algorithm works by iteratively improving an approximate solution, we find approximate solutions in the
cases when there are no exact solutions, such as overconstrained systems. Show less
City is made up of diversity and density. Diverse factors make activities and different relationships in a city. These are very sensitive to... Show moreCity is made up of diversity and density. Diverse factors make activities and different relationships in a city. These are very sensitive to other factors’ changes. Their various responses make city dynamic and finally characterize the face of a city or a town. Buildings are one of dynamic factors in a city. The building facade which determines building’s identity marks the transition between outside and inside. The facade has a strong relationship between building programs and urban activities. Their looks make a huge effect on urban environment. But buildings’ configuration is fixed once design choices are made. Buildings are conceived as a rigid objects and inflexible, unresponsive, and unsustainable. Considering that buildings are the largest contributor to the city environment, building should be responsive to changes and facade performance should be more active to building programs. Adaptive building facade will be the means that can address these challenges. Show less
This data set supports the process development work described in the associated manuscript, capturing the... Show moreThis data set supports the process development work described in the associated manuscript, capturing the
transition from bench-scale synthesis to small-scale process development of hydrogel nanoparticles. It includes
the raw and processed quantitative data for experimental variables tested during this scale-down effort.
Additionally, the data set provides the original red-green channel versions of fluorescence microscopy images
used in cell studies. In the manuscript, these images were adjusted to be accessible for readers with red-green
color vision deficiency; here, the unmodified channel versions are made available to ensure scientific
transparency and reproducibility. Show less
