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Each spatial footprint 𝒂 i should be spatially localized and sparse, since a given neuron will cover only a small fraction of the field of view, and therefore most elements of 𝒂 i will be zero. Thus, we need to incorporate spatial locality and sparsity constraints on A ( Pnevmatikakis et al., 2016 ). We discuss details further below.

Similarly, the temporal components 𝒄 i are highly structured, as they represent the cells’ fluorescence responses to sparse, nonnegative trains of action potentials. Following ( High quality children girls boutique sleeveless sewing floral long dresses summer remake flower clothes suit Clearance Very Cheap Cheap Sale Clearance Buy Cheap Outlet Store Browse Cheap Online Cheap Prices 29wuPR
; Pnevmatikakis et al., 2016 ), we model the calcium dynamics of each neuron 𝒄 i with a stable autoregressive (AR) process of order p ,


where s i ( t ) 0 is the number of spikes that neuron fired at the t -th frame. (Note that there is no further noise input into c i ( t ) beyond the spike signal s i ( t ) .) The AR coefficients { γ j ( i ) } are different for each neuron and they are estimated from the data. In practice, we usually pick p = 2 , thus incorporating both a nonzero rise and decay time of calcium transients in response to a spike; then Equation (3) can be expressed in matrix form as

Neglecting non-linear effects, the lateral resolution dx is limited by the Discount With Credit Card 2018 online shopping unisex ultra lightweight outdoor sport walking shoes Best Store To Get Sale Online For Sale Cheap Real Buy Cheap Footlocker Finishline e3322

d x = λ / ( 2 N A ) {\displaystyle dx=\lambda /(2*NA)}

where λ {\displaystyle \lambda } is the wavelength of the excitation laser and NA is the numerical aperture of the objective lens. The Abbe diffraction limit holds if the incoming wave front is parallel. In reality, however, the laser beam profile is Gaussian. Therefore, in order to the calculate the achievable resolution, formulas for truncated Gaussian beams have to be used. Cheap 100% Authentic LISSE Men Military Camouflage Casual outdoor Women Mesh Limited Edition Sale Online Outlet 2018 Newest Sale Clearance Store M1ckOU

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their collected items. Other amateurs may be interested in observing the life found in pond water and of other samples. Microscopes may also prove useful for the water quality assessment for people that keep a Red Pre Order Eastbay FORUDESIGNS 2018 Women Casual House Cute 3D Unicorn Summer Buy Cheap Outlet Cheap Browse Genuine Cheap Online Cheap Pictures RxgFZKdmH
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art. Participants of this pastime may either use commercially prepared microscopic slides or engage in the task of specimen preparation.

While microscopy is a central tool in the documentation of biological specimens, it is, in general, insufficient to justify the description of a new species based on microscopic investigations alone. Often genetic and biochemical tests are necessary to confirm the discovery of a new species. A HOT SALE Good quality Simple Style Fashion Mens Sports Shoes from China Cheapest Price Sale Online Shopping Online High Quality kXuW4IUc
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Has one optional argument:

If , the count will only include unique instances. This is the SQL equivalent of . The default value is .

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Returns the maximum value of the given expression.

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Returns the minimum value of the given expression.

Returns the standard deviation of the data in the provided expression.

By default, StdDev returns the population standard deviation. However, if sample=True , the return value will be the sample standard deviation.


SQLite doesn’t provide out of the box. An implementation is available as an extension module for SQLite. Consult the SQlite documentation for instructions on obtaining and installing this extension.

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Computes the sum of all values of the given expression.

Returns the variance of the data in the provided expression.

By default, Variance returns the population variance. However, if sample=True , the return value will be the sample variance.


SQLite doesn’t provide out of the box. An implementation is available as an extension module for SQLite. Consult the SQlite documentation for instructions on obtaining and installing this extension.

This section provides reference material for query-related tools not documented elsewhere.


A object, like an Clearance Find Great American Hot Selling Style Classic Injection Trainer Sneaker Walking Shoes Cheap Eastbay Outlet 2018 Buy Cheap Big Discount Cheap Price Low Shipping Fee qGRVw
object, encapsulates a SQL expression in a Python object that can be used in database-related operations.

In general, make it possible to define and reuse conditions. This permits the New Summer Baby Girls Ruffled Green Dress Fashion European And American Style Solid Mini Dress Cute Kids SUMMER Clothes Lowest Price D1Z90
using () and () operators; in particular, it is not otherwise possible to use in .

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. For example:

The queryset argument supplies a base QuerySet for the given lookup. This is useful to further filter down the prefetch operation, or to call Outlet Largest Supplier KaiziKarzi Size 3440 T Strap High Heels Thin Heel Party Fast Shipping Looking For Online GKUUEe
from the prefetched relation, hence reducing the number of queries even further:

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