Combinatorics – cut probability for stars and bars

There is a vector $ vec {x} $ the length $ N $consisting of ones and zeros. Initially $ sum_i x_i = N ^ x_I $, Now every value is from $ vec {x} $ that's equal to zero flips too $ 1 $ with the probability $ p $, Let's call the resulting values $ vec {x} & # 39; $, The sum after this operation is $ sum_i x_i & # 39; = N ^ x_F $,

There is also a vector $ vec {y} $ the length $ N $that behaves analogously.

Define the dot products as well $ D = vec {x} cdot vec {y} $, $ D = vec {x} & # 39; cdot vec {y} & # 39; $

question: Treasure MLE and its variance of $ D $, given $ p, N, N ^ x_F, N ^ y_F, D & # 39; $, Note that $ N ^ x_I $ and $ N ^ y_I $ are not known.

gui design – Do two search bars have to be displayed on the same page?

As Avish Vijay has stated, in my opinion, it is not necessarily a bad idea to do two searches if one search is a global search and the other is context sensitive for the function on a particular page. However, it is important to emphasize the difference in contextual search, and currently you are not clearly explaining why the context-sensitive search differs from the global search.

Why is the magnifying glass icon and the global search link in the top navigation bar on a separate line? I do not understand the screenshot the way it is.

Do * ALL * mobile / touch browsers have "invisible" scroll bars in scrollable areas?

No. You can never expect a particular feature to be implemented the same across all variants and vendors of a software type.

Devil. Often companies and platforms even have internal differences. Try doing a Google search for all sliders in Photoshop, Illustrator, and so on.

In this particular case, a 1-minute search in the Google Play Store led to the browser "old but gold":

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Scroll Bars – Resolving scrolling in a scrolling problem

I have the following objects in Unity that wanted to see all content when they were selected:

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I've written the following editor (GraphicReferenceCollection), which shows all its references as a table linked to the object name:

(So ​​far, it works pretty well, the only problem is that it can get quite long on many objects, so I've avoided adding another scrolling view to the already scrolled view, which is simply horrible from the UX point of view.)

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Finally, I solved most of the problem by simply adding extensions that greatly reduced the scrolling height:

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Question:

Is this the right approach to solve this problem, or is there a better solution?

graphics – ErrorListPlot does not display error bars

ErrorListPlot shows no error bars for me, for example in the Help section

ErrorListPlot[Table[{i, RandomReal[0.5]}, {i, 10}]]

returns

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My Mathematica setup (11.2.0.0 on Mac Sierra) starts automatically

need["ErrorBarPlots`"];

and also starts with (ua)

SetOptions[ListLogPlot,       Frame -> True, FrameTicks -> Automatic, FrameTicksStyle -> Directive[Automatic,15], Axis -> False, BaseStyle -> {FontFamily -> "Palatino", 15}, FrameStyle -> directive[Black,20,Thickness->0.0025], FrameTicksStyle -> Plain, ImageSize -> 500, ImageMargins -> 10, PlotMarkers -> {Automatic, 15}];

Can it be that ErrorListPlot calls ListPlot and is incompatible with frames?

Switch the controls to the title bars

What are the advantages and disadvantages of controls in menu bars? This is an example from a Linux desktop environment:

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Personally, I found the placement of controls in the title bar unexpected, after about 20 years of Windows / Linux / Web use. Is this style common somewhere? I would like to know more about advice in this area.