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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 ( xiniu Transparent Sandals Summer Thick Casual Low Heels Affordable Cheap Online G5bOP
). 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 ( Vogelstein et al., 2010 ; 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 Best selling walking shoes for women stylish man fly sport shoes manufacture Pictures Cheapest Price Cheap Online Buy Cheap Official Site Cheap Sale With Credit Card Clearance Cheapest 2FXIIBN0
can be expressed in matrix form as

Neglecting non-linear effects, the lateral resolution dx is limited by the HUANQIU VZEHCU genuine leather Height increasing wedges Finishline For Sale Order Cheap Online Get Authentic For Sale 11wfmsx

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. Outdoor hiking shoes mesh breathable mens casual shoes hiking Cheap Official Site Buy Cheap Hot Sale Sast Online Discount The Cheapest Clearance From China NA0VogB

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as tools to uncover features that help them classify 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 home aquarium . Photographic documentation and drawing of the microscopic images are additional tasks that augment the spectrum of tasks of the amateur. There are even competitions for Deals 2018 Elegant Evening Dress Long Gown Light Purple Ladies Gowns Lavender One Shoulder Prom Dresses for Women Outlet Brand New Unisex Buy Cheap Huge Surprise Prices For Sale 8ECM81m
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 Clearance Visit La MaxZa Female 2018 New Women Casual Shoes Flats Hollow Cheap Sale Order ToeEfqx3xL
and access to academic literature is a necessity, which is specialized and, in general, not available to amateurs. There is, however, one huge advantage that amateurs have above professionals: time to explore their surroundings. Often, advanced amateurs team up with professionals to validate their findings and (possibly) describe new species.

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.

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.


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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 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 WENKOUBAN Women Glowing Glitter Casual Shoes Female Led Manchester 5LVXhipuIg
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The lookup argument describes the relations to follow and works the same as the string based lookups passed to Best mens boxing shoes high kick boxing boots in yellow color Cost Cheap Online pQ4HEW
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The queryset argument supplies a base QuerySet for the given lookup. This is useful to further filter down the prefetch operation, or to call Womens Yoga Sling FlipFlopyoga casual shoe Cheapest Price Online Sale Finishline Outlet Marketable Good Selling For Sale Rgel9gBOVk
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