Entire HIghlight coordinates in a continuous path

Suppose I have the plot of a function y = f (x). Is there an option to highlight all the integer coordinates of the result of:

Plot(f(x),{x, x_min, x_max})

Does a 2009 node synchronize the entire bitcoin blockchain

In theory, this may because the explicit consensus rules have not changed. However, in practice, it will not be able to synchronize without some special modifications.

First of all, the network version is so old that no modern node software will accept connections from it. In addition, the format of network messages has changed since the first version so that it now contains a checksum of the message. The first version of the Bitcoin client did not have a checksum for messages. This difference in the network protocol will result in messages that do not make sense to any of the nodes in a connection.

In addition to modifying the network message, the original Bitcoin client will not be able to find nodes to connect to. It could only connect via the use of IRC node discovery which has since been disabled and removed. So you will need to specially build the peers.dat file so that it can find a peer to connect to.

Finally, the original Bitcoin client will not be able to synchronize beyond the 2013 fork unless the number of BDB locks is increased. Using the default settings, it will miss locks when it reaches this period and therefore fail to synchronize.

If you can avoid all of these issues (for example by using special node software specifically for synchronization) and increase the number of BDB locks, then the original Bitcoin client should be able to synchronize the current blockchain, although very slowly and possibly never being able to synchronize with the tip. Towards the current blockchain point, it will probably take longer to validate a block than it takes for a new block to be found.

Several months ago, I modified a version of Bitcoin Core to make it compatible with Bitcoin 0.1.0, and then I try to sync it. The code for this is here. I stopped this experiment after a few days when it could only synchronize 25,000 blocks.

spreadsheet function – EXCEL: Can I strike out the text of an entire row if a certain cell has a value?

At work, I have to track the replacement days earned for the weekend days worked.

Here is what the current Excel file looks like:

Image of the Excel file I work with

Column D is currently using conditional formatting to keep track of how close I am to losing the replacement day as it must be used within 120 days of the day's gain.

When the value of D reaches 0, I would like each of the cells in the line containing text to be crossed out through the formatted text.

Thank you in advance for any assistance you could provide.


What is the risk associated with gradual improvements compared to the redesign of the entire application?

I am working on legacy software built on Java 6, the design is old and the components seem to come from Windows 98. We are introducing important new functionality and one of the requirements is to design the functionality with more trendy look and vibe 2020. (to show that change is coming)

I fear that this will harm the consistency and user experience if we launch a feature that looks completely different from everything else in the app. Should we be designing the new functionality with the components we currently have on the current application? In this way, we focus on value more than on aesthetics and later this year, we can rethink everything once and for all.

seo – What to do when a product page outperforms the entire category

I have only recently started to deeply optimize my product categories for SEO and to make great progress. However, there is only one product which, being very popular and garnering backlinks and heavy traffic over several years, is displayed by Google when searching for the category keyword, even now after a heavy category optimization.

I plan to strip or gut this product page, but it must be done to prevent this from happening. On the one hand, the product alone has indeed been a major engine of traffic to the site, so I would hurt that aspect. But at the same time, he is fighting against my category which I finally want to show first in Google.

For clarity: this product and others all have the main category keyword in their meta-titles and H1.

What is the best course of action?

Dynamically retrieve the entire row in Google Sheets for calculation

Goal: I want to retrieve the content of the last line of a Google form and perform a simple calculation with it, then return this value to the user.

The form contains two questions: "How many apples do you want to buy?" and "How many oranges do you want to buy?"

In a separate sheet I have the prices of apples and oranges and I want to calculate the total amount.

What i have so far:

In the cell for the amount spent, I have:

=arrayformula( mmult( Answers!$A2:$B2 ; Prices!$A$1:$A$2 ) and I can develop it manually for line 3, …, N.

which gives me the same as:

=ARRAYFORMULA( mmult( index(Answers!A:B;row();0);Prices!$A$1:$A$2 ) )

I want to retrieve the content of the last line of my sheet Answers then use mmult on this last line. Prices will not vary.
It is important that I do the calculation for the last line only as this will be returned to the user.

What I do not understand:
The formula with arrayformula and index should work because row() returns the current row and the index range corresponds to the two columns.

How can I modify the formula to get what I want?

Do duplicate meta tags in search results penalize the entire site?

I'm currently seeing a drop in my site ranking these days, and found about six pages there indexed with the same META tags but showing different content. Is it really bad in terms of SEO?

sharepoint online – In Calendar view, is it possible to shade an entire day without creating a separate layout?

I have a calendar that I use to track holidays on multiple accounts. I'm trying to find a way to bring out the holidays more than just another calendar event.

I found this code provided by another user:

My question is, where could I put this code in SharePoint-Online?

approximation – Doubt on the entire gap and relaxation LP

I have an exercise that tells me that, given a problem P (whose description I now omit), there is no gap in completeness between the formulation LP and ILP of this problem, and for each fractional LP solution, there exists an integral
solution achievable with the same cost. Then I have to design a poly-time algorithm which from everything
given an optimal LP solution, calculates such an optimal whole assignment.

The fact that there is a lack of completeness, what does that mean in this case? I mean, if I design an approximation algorithm to calculate an optimal integer assignment from a given optimal LP solution, I will get a solution with a value of object like Something * Optimal value of the LP problem . Is this not in contrast to the fact that there is no GI? That should mean that the optimal value for LP and ILP should be the same, right?

Please clarify my doubts.

enumeration – List all solutions to the entire programming problem

It is possible to enumerate all the solutions, using a recursive algorithm that repeatedly invokes an entire programming solver. Basically, at each step, you choose a variable, find its range of achievable values, partition its range into two sub-ranges, then recursively list the solutions that fall within each sub-range.

In pseudocode, the algorithm looks like this ($ mathcal {P} $ is an entire programming instance):

EnumSolns ($ mathcal {P} $, $ M $):

  1. Find a variable $ x $ mentioned in $ mathcal {P} $ but not in $ M $. (If no such variable exists, find a solution for $ mathcal {P} $, take it out and come back.)

  2. Let $ a $ denote the smallest possible value for $ x $ (found during a call to the IP solver). Let $ b $ indicates its largest possible value (another call to the IP solver).

  3. Recursively call EnumSolns ($ mathcal {P} cup {x = a } $, $ M cup {x } $).

  4. Yes $ a <b $, recursively call EnumSolns ($ mathcal {P} cup {a + 1 le x le b } $, $ M & # 39; $) or $ M & # 39; = M cup {x } $ if $ a + 1 = b $, or $ M & # 39; = M $ other.

To list all the solutions to an entire programming problem $ mathcal {P} $, call EnumSolns ($ mathcal {P} $, $ emptyset $). Yes $ s $ denotes the total number of solutions and $ n $ the number of variables, the execution time will be maximum $ O (ns) $ calls to the IP solver.

In practice, different optimizations may be possible. Some IP solvers support push and burst inequalities, and can remember the facts that were learned when researching the previous inequality system and use them after pushing another inequality; this can speed up this algorithm considerably.

For an entire program 0-1, there is a simpler recursive algorithm:

Enum01Solns ($ mathcal {P} $, $ M $):

  1. Yes $ mathcal {P} $ is not possible (determined by a call to the IP solver), return.

  2. Find a variable $ x $ mentioned in $ mathcal {P} $ but not in $ M $. (If no such variable exists, find a solution for $ mathcal {P} $, take it out and come back.)

  3. Recursively call Enum01Solns ($ mathcal {P} cup {x = 0 } $, $ M cup {x } $) and Enum01Solns ($ mathcal {P} cup {x = 1 } $, $ M cup {x } $).

If you just want count the number of possible solutions to the whole program, without listing them, see Finding all the solutions to a whole linear programming problem (ILP).