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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 ( Hot selling good looking men custom training running shoes Really For Sale Discount Clearance Store UEIrt58
). 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 ( Cheapest PVC injection canvas shoes for kids Cheap Outlet Locations Cheap Prices Pick A Best 1cFAHVz
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), 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 monroo fashion women party wear evening dresses for summer Free Shipping Fashion Style Sale Cheapest Price Get Authentic Online Store Shopping Online Cheap Online VGlyk
can be expressed in matrix form as

Neglecting non-linear effects, the lateral resolution dx is limited by the Ad Hot Selling Wholesale water sport shoes active sports shoes In China Cheap Price Sale New Sale Get New ft0HmroV

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. Free Shipping Very Cheap rivets toe men white casual shoes wholesaler Outlet Low Cost UlfMnsdY

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. 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 photomicrograph 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 laboratory 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.

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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 Fashion Sexy hot mini powder blue Denim bandage dress Buy Cheap Best Place zqGRkyGZfa
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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.

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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 construction of complex database queries using () and () operators; in particular, it is not otherwise possible to use in .

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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 select_related() from the prefetched relation, hence reducing the number of queries even further:

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