Economical matrix processing: Tilt the sign of the entries in the upper left corner of the matrix

I have a 12k x 12k low-density array (~ 1% density) and must do the following:

Suppose the matrix looks like this:

$ begin {bmatrix} a & b & c \ d & e & f \ g & h & i end {bmatrix} $

The output should read:

$ begin {bmatrix} – sqrt {a} & – sqrt {b} & sqrt {c} \ – sqrt {d} & sqrt {e} & sqrt {f} \ sqrt { g} & sqrt {h} & ​​ sqrt {i} end {bmatrix} $

For a small matrix, I would create a "mask" and multiply it by the square root of the matrix, as in the following example of a 10×10 random matrix:

negMask = 
  Join(ConstantArray(-1, 10 - #), ConstantArray(1, #)) & /@ Range(10);
negMask*Sqrt(RandomInteger(2, {10, 10}))

However, this is too slow for a 12k x 12k matrix and does not take advantage of the sparseity of the matrix being processed (and I would intuitively say that it should be possible to use the sparsity to speed up the computation).

Any suggestions on how to process the matrix quickly?

Macro – How does a studio camera behave with tilt and shift to stack 35mm images?

Camera movements and focus stacking have different functions: what functions are used depends on the desired functions.

camera movements Allow you to take the focal plane of the lens and bring it within the given frame to the desired location. In particular, the focal plane can be inclined relative to the sensor plane. This is useful, for example, for landscapes where the desired focus plane is essentially the surface of the country (you can not set the plane that far, but you can improve things).

What camera movements Not Change the depth of field around the focal plane: If the depth of field is very low, you can use the camera movements to adjust the layer to focus on what you want, but you want Not Increase the thickness of the area on both sides of this plane where things are in focus.

Stack focus will do that. In this way, you can take a series of images with different focal planes, each with a relatively shallow depth of field, and then synthesize a single image with a much greater depth of field.

Focus stacking thus increases the depth of field, while camera movements allow you to arbitrarily position the focal plane without changing the depth of field (around the focal plane).

What you need to use depends on what you want to achieve:

  • If the object you want to photograph has a natural plane that you want to focus on, that plane is not parallel to the sensor plane, and you're not interested in whether objects outside that plane are in focus (or active) that they are blurred), then movements can do this;
  • If the object you want to photograph has multiple layers that you want to focus on, and is static, you want the focus to be stacked.

I suspect that the answer is jewelery Focus Stacking.

Tilt Shift – Imitates the color saturation of Nikon's miniature fake mode

Nikon's "miniature fake" camera optimization seems to produce selective horizontal / vertical blur (with a drop zone), increase saturation, and increase contrast. There are more robust solutions for imitating tilt-shift DoF than for the camera, so I would rather use them. But I can not quite repeat the saturation / contrast effect at my end. Here is an example –

Original picture

And with the miniature fake tweak –

Miniature forgery

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Physics – How to change gravity with Unity mobile tilt

Suppose I created a mobile Unity game and retrieved the Tilt variable and pasted it into a Vector3 to apply forces to a cube. This works for a die, but not for every game object. I want the whole world to handle gravity as if it stays in one place, regardless of the tilt of the phone (if the phone is tilted slightly clockwise, a bullet will go to the right on a flat surface)

Basically, the tilt of the phone affects gravity. This is how the objects go.

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Price $ 20 / month – order now

3rd VPS hosting plan

CPU – 4 cores
Memory – 4 GB
Hard disk space – 80 GB
Bandwidth – not measured
Price $ 40 / month – order now

4. VPS hosting plan

CPU – 4 Core
Memory – 8 GB
Hard disk space – 150 GB
Bandwidth – not measured
Price $ 80 / month – order now

5. VPS hosting plan

CPU – 8 cores
Memory – 16 GB
Hard disk space – 300 GB
Bandwidth – not measured
Price $ 160 / month – order now

6. VPS hosting plan

CPU – 12 cores
Memory – 32 GB
SSD storage – 600 GB
Bandwidth – not measured
Price $ 320 / month – order now

Available locations:USA (Los Angeles), Switzerland (Zurich), Germany (Nuremberg), Russia (Moscow).

Accepted payment methods:Paypal, Payza, Bitcoin, WebMoney, Payoneer.

Test speed and IP==>CLICK HERE

ADDITIONAL RESOURCE PRICES:

  • Additional IPs – From $ 2 per month
  • HDD 50 Gb / 10 Gb SSD – From $ 5 per month
  • ISPmanager Lite (Official Website http://ispsystem.com) – Free for the month
  • ISPmanager Business (Official Website http://ispsystem.com) – From 15 USD per month
  • cPanel (Official Website https://cpanel.net) – From $ 15 per month
    Can not find your checkboxes? Please contact our technical support. Open ticket
  • cPanel (Official Website https://cpanel.net) – From $ 150 per year
    Can not find your checkboxes? Please contact our technical support. Open ticket

Hard drives are located in a redundant RAID 10 array to ensure the security of your data!

Local and backup to remote server! Your VPS container resides on local RAID 10 storage arrays to ensure the fastest, most reliable storage architecture for your sites. RAID 10 technology provides an impressive increase in I / O operations per second (IOPS).

power(Guaranteed dedicated RAM. All RAM and disk resources are dedicated and can not be oversold.)

Refund warranty(Try our services today!) All new customers enjoy our services with an unconditional 14-day money back guarantee.)

== >> Take a look at CloudarionVPS Windows
Operating Systems:Windows 2003 Server R2, Windows 2008 Server R2.

== >> Take a look at CloudarionDedicated server

Need help?Contact with ourstechnical support,

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