gallery | the source code | Frontend Framework library

I answered the part about why the paragraph mark is showing up in your question posted on Super User. This response is to address using vba to insert a building block. Your vba, though, is not causing the extra paragraph mark. As stated in the response in Super User, that is due to the content of the building block.

If your vba (not shown) opens the header or footer area and pastes content, then a bug in Word would retain the original paragraph mark as an extra. If you are using it, though, through one of the processes shown below, it should not.

A recorded macro will seldom do what you want, especially if you are sharing the template.

To do this, you need to know:

• The name of the building block

• The name (and location) of the template that holds the building block unless the macro is in the same template

• How to insert a macro. See Installing Macros and Install/Employ VBA Procedures (Macros).

• Building Block Name = "MyBB" (example in this macro, change to fit)

Situation 1 and 1a have the Building Block and the macro in the same template. This simplifies coding because a macro can always tell the name and location of the template that holds it. That information is required to use a macro to insert a building block.

Situation 1 - template holds both the building block and the macro

Here is the macro to insert that uniquely-named building block at the insertion point in the document:

You can save files to the public directories on external storage.

Like Documents, Download, DCIM, Pictures and so on.

In the usual way like before version 10.

stop the running app, go to terminal > flutter clean > then build the app again

Just creating IDs on the way:

Restating the problem - My understanding given the different comments and your updates is the following:

• someone other than you is in possession of data, which as it happens is 2D data, i.e. an Nx2 matrix;
• using the covariance matrix, they are effectively saying something about the joint distribution of these two dimensions, specifically about the variance;
• if they assume a Gaussian distribution, as is implied by your comment regarding 68%, 95% and 99.7% for 1sigma, 2sigma and 3sigma, they can draw ellipses which represent the 2D-normal distribution: these are in fact some of the contour lines associated with the 3D "bell" surface;
• you have obtained the contour lines in a graph and are trying to obtain the covariance matrix (not the original data...);
• you are concerned about the complexity of having to extract the information from each ellipsis.

Partial answer:

• It is impossible to recover the original data, I hope you are already aware of that, but in case you are not let's just note that the covariance matrix is a summary statistic of the data, much like the average, and although it says something about the data many different datasets could happen to have the same summary statistic (the same way many different sets of numbers can give you an average of 10).
• It is possible to somewhat recover the covariance matrix, i.e. the 3 numbers a, b and c in the matrix [a,b;b,c], though the error in doing so will likely be large because of how imprecise the pixel representation is. Essentially, you will be looking for the dimensions of the two axes, for the variances, as well as the angle of one of the axes, for the covariance.
• Unless I am mistaken, under the Gaussian assumption above, you only need to measure this for one of the three ellipses, and then factor by whatever number of sigmas that contour represents. Here you might want to either use the best-defined ellipse, or attempt to use the largest one, which will provide the maximum precision for your measurements (cf. pixelization).
• Also, the problem of finding the axes and angle for the ellipse need not be as complex as what it seems like in your first trials: instead of trying to find the contour of the ellipses, find the bounding rectangle.
• In order to further simplify this process, if your images are color-coded the way you show, then a filter on blue pixels might be enough in terms of image processing. Then simply take the minimum and maximum (x,y) coordinates in order to obtain the bounding rectangle.
• Once the bounding rectangle is obtained, find the equation to your ellipse (that's a question for a math group, but you could start here for example).

Happy filtering!

You have multiple (2) galleries and multiple images. You need to iterate over all images for all galleries. Something like this

In Kotlin use this:

try to this way implement third dialog

You'll need to enable source map generation for the production build in your next.config.js file as it's disabled by default.