Cognitive neuroscience boils down to describing the ways in which cognitive function results from brain activity. In turn, brain activity shows complex fluctuations, with structure at many spatio-temporal scales. Exactly how cognitive function inherits the physical dimensions of neural activity, though, is highly non-trivial, and so are generally the corresponding dimensions of cognitive phenom...

This paper deals with dimensional data. Examples of dimensions are space and time. Thus, temporal, spatial, spatiotemporal values are examples of dimensional data. We define the notion of dimensional object, extending an object-oriented ODMG-like type system to include dimensional types. We then address the problem of querying dimensional objects. Linguistic constructs are introduced that allow...

The “t-model” for dimensional reduction is applied to the estimation of the rate of decay of solutions of the Burgers equation and of the Euler equations in two and three space dimensions. The model was first derived in a statistical mechanics context, but here we analyze it purely as a numerical tool and prove its convergence. In the Burgers case the model captures the rate of decay exactly, a...

We show that the position of a fluorescent nanoparticle can be measured in three dimensions with subnanometer precision and 100-ms temporal resolution by use of standard epifluorescence video imaging in off-focus mode. The particle can be tracked without feedback in a volume of at least 40 microm x 60 microm x 3 microm. With the technique presented, the structure-mobility relationship of 216-nm...

COMPUTATIONAL CAMERAS At Columbia University’s Computer Vision Laboratory, we have developed several types of computational cameras. As the “Related Research” sidebar describes, several research groups around the world are working on the development of computational cameras and related technologies. Imaging can be viewed as having several dimensions, including spatial resolution, temporal resol...

Small unilamellar lipid vesicles with diameters down to 50 nm enclosing high refractive index sucrose cores can be optically trapped individually in three dimensions using a focused laser beam. Combined optical trapping and confocal microscopy allows for simultaneous quantitative measurements of the forces exerted on individual vesicles and of their size and shape. The position of individual ve...

Due to the large amount of social network data produced at an ever growing speed and their complex nature, recent works have addressed the problem of efficiently querying such data according to social, temporal or spatial dimensions. In this work we propose a data model that keeps into account all these dimensions and we compare different approaches for efficient query execution on a large real...

The speeded-classification paradigm, adapted from the study of perceptual interactions, was used to examine interactions among features of the short-term memory trace. In each of four experiments, a trial began with the presentation of a pair of stimuli, each member of which occurred either first or second in time and above or below a fixation point. One of the two stimuli was then presented ag...

The "t-model" for dimensional reduction is applied to the estimation of the rate of decay of solutions of the Burgers equation and of the Euler equations in two and three space dimensions. The model was first derived in a statistical mechanics context, but here we analyze it purely as a numerical tool and prove its convergence. In the Burgers case, the model captures the rate of decay exactly, ...

water use productivity is one of the most important factors in scientific agriculture. it is equal to 0. 7 kg of production per cubic meter of irrigation water (kg/m3) in iran which is very low in comparison with advanced countries (1 to 2 kg/m3). current research studies temporal and spatialchanges of water use productivity in hamedan province in iran using geographic information system (gis),...