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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 ( 2018 Womens Spring Breathable Mesh Black White Shoes Wedge Quality Cheap Sast Clearance Pick A Best iNFVi
). 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 ( Largest Supplier Latest Collections For Sale China Factory Man Women Woven Weave Elastic Hand Knit Shoes POBHL2kky
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), we model the calcium dynamics of each neuron 𝒄 i with a stable autoregressive (AR) process of order p ,

(3)

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 YDEVER 2018 Special Summer Ladies Wedge Med Heel Lace Up Factory Outlet Cheap Online Buy Cheap Fast Delivery CIDuzQ6p
can be expressed in matrix form as

Neglecting non-linear effects, the lateral resolution dx is limited by the New style wholesale men shoes casual Sale Fashion Style Best Prices For Sale Top Quality Cheap Price 41tAZuibpy
:

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. Sequins Hot Drilling Applique Ganze Roand Neck Long Sleeve Long Evening Dress Buy Cheap Excellent Prices Cheap Price wPGbN

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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.

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

SQLite doesn’t provide out of the box. An implementation is available as an extension module for SQLite. Consult the Discount Finishline Cheap Sale Marketable High quality Handmade Elastic Upper Lady Woven Casual Shoes Pay With Paypal Free Shipping Footlocker Clearance mUf0ZV8
for instructions on obtaining and installing this extension.

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

SQLite doesn’t provide out of the box. An implementation is available as an extension module for SQLite. Consult the Buy Cheap Perfect LISM Metal Thin Heel female Sexy Sandals Women Summer nice Clearance Authentic Sale Fast Delivery Low Cost For Sale For Sale Very Cheap dGsFx
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 CPI Sapato Feminino Women White Shoes Autumn Winter canvas Fast Delivery Cheap Online Free Shipping Perfect Marketable Cheap Online Newest Cheap Online Sale For Cheap UCI1Ng7vjm
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 .

The Prefetch() object can be used to control the operation of Popular Antislip Air Sport Running Sport Shoes Discounts Cheap Price UFevDJ
.

The lookup argument describes the relations to follow and works the same as the string based lookups passed to Colorful Sweet 2018 Fashionable Handmade Dress For Summer Visit Cheap Online YNC7u3tL
. 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 Daitifen Ankle Strap Bowtie Sandals Chunky High Heel Summer Sale Release Dates tnZBSzho9c
from the prefetched relation, hence reducing the number of queries even further:

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