cryptography: how to perform matrix multiplication in the Mix AES columns step?

I am studying AES and trying to implement it. But I have a hard time understanding the passage of the mixing column. In that step we have to perform matrix multiplication between the state matrix and another fixed matrix. Here is the example given in the material I am studying:
enter the image description here

I'm not getting the 03*2F part. How did it become (02*2F)xor2F? Is the material correct or does it have an error?

I have it 3 = 2 xor 1 Thus 3 x 2F = (2 xor 1) x 2F = (2 x 2F) xor 2F but what if 4 x 2F? 4 = 2 xor 6 so (2 xor 6) x 2F and that?

time series analysis: an algorithm to detect whether noisy univariate data is constant or is the sum of step functions

In an explicit algorithm I'm writing, there is a certain stage where I need to determine whether certain noisy univariate data is constant or not or is the sum of step functions.

For example, define foo as the algorithm I'm looking for (write in python):
assert foo ((0) * 20) == False
assert foo ((0) * 20 + (1) * 20) == True
affirm foo ((0) * 20 + (5) * 30 + (1) * 70) == True

  • The data in the examples is not noisy, but suppose the true one is (just a little bit, one can determine where a step might take place by looking at the plot of the data.

I will be happy to hear any ideas, thanks.

Should CSS framework like Bootstrap be introduced as a step to redesign a web application that was designed 10-15 years ago?

In my organization we are planning to redesign a 10 year old web application that uses jsp. We are thinking of introducing the Bootstrap framework to design and reuse the components defined using bootstrap and using the flexbox or grid layout to better structure web pages. Do you think we should use the boot framework or should we use vanilla CSS?
The team does not include a front-end css expert per se. The application is archaic, slow and ugly. We haven't entered any performance budgets as such, but we don't want it to be slower than it is.

What is the next step to attract customers?


I'm Ethan, co-founder of a software design company, with a minor specialty in web and server hosting. We have good resources and … | Read the rest of

How to create custom module for raw operations in magento2.3.4 step by step interface?

I am new to magento2. How to implement this task I do not know. Can you help me?

Real analysis: step function and unit sphere, which is not a sequentially compact space

I have been asked the following question.

The closed unit sphere is not a sequentially compact space. We define the closed unit sphere as $ K: = {f in T (a, b) mid | f | _ infty leq 1 } $

While $ T (a, b) $ is the set of all step functions of $ (a, b) subset mathbb {R} $ Y $ | f | _ infty = sup {| f (x) |: x in (a, b) } $

So I need to find a sequence $ (f_n) subset K $ that it has no converging subsequence that has a limit in K, if I'm correct.

I thought about this problem a lot and came up with this solution …

$ f_n (x): = begin {cases} 1 & text {for} quad x = b \ frac {1} {n} & text {for} quad frac {ba} {r} + a leq x < frac {ba} {r-1} + a quad text {con} quad r in {2, …, n } \ 0 & text {for} quad x = a end {cases} $

Explanation: $ (f_n) $ obviously it's a step function in (a, b) and $ | f_n | leq 1 $. But the limit function $ lim_ {n rightarrow infty} f_n $ it is not a passing function since it has infinite pieces.

Because the sequence boundary converges to $ f_ infty $, all the subsequences converge to $ f_ infty $. Therefore, there is no subsequence in K, and therefore K is not a sequentially compact space.

Is it correct or am I completely on the wrong path? Thanks for helpful answers!

sql server: run sp_update_jobstep to change the type of SQL Agent work step

SQL Server 2016

When I was going to implement a change in our Ola Hallengren indexing scripts, I noticed that on some SQL servers we have an indexing job that runs as an "Operating system (CmdExec)" step instead of being called as a "Transact- script. SQL (T-SQL) "step.

I am using CMS to implement this using sp_update_jobstep and I want everything as "Transact-SQL (T-SQL) script".

There doesn't seem to be a way to change the pace (unless I'm confused by the terminology in this Microsoft article)

use msdb

exec sp_update_jobstep @job_name = N'IndexOptimize_USER_DATABASES', 
                       @step_id = 1, 
                       @command = N'EXECUTE (dbo).(IndexOptimize), @Databases = ''USER_DATABASES'', @LogToTable = ''Y'', @LockTimeOut = 300'

Is there any way to change the type of step?

Algebra precalculation – How to prove this by induction? Having problems in $ k + 1 $ th step.

It is given that $$ – sqrt {
frac {8} {3}
} lt x lt sqrt {
frac {8} {3}
} ~~~~~~~~~~~~ left (
x in mathbb Q right) $$

And we want to show that:
$$ 8 – 3x ^ 2 textrm {cannot be a perfect square} $$

I tried to convert that first $ sqrt {
frac {8} {3}
in decimals and we discover that we can write
$$ -1.6329 lt x lt 1.6329 $$

So, because of this, let's just consider the absolute values ​​of $ x $ and let's take the value of basic step (That is generally when we test something by induction, we make the first step by checking it in $ n = 1 $) how $ x = 0 $, $$ 8 – 3 cdot 0 ^ 2 = 8 $$
$$ textrm {Since 8 is not a perfect square, therefore, we have established the first induction step} $$

Let's assume that $$ 8 – 3x ^ 2 $$ it is not a perfect square for $ x = k $, now let's see if $ x = k + 1 $ (Here comes the problem, this is the inductive step, is it correct to do so? $ k + 1 $?) $$ 8 – 3 (k + 1) ^ 2 $$
$$ 8 – 3k ^ 2 -3 – 6k $$
We know $ 8- 3k ^ 2 $ it is not a perfect square, but how to argue that it is subtracted $ 3 + 6k $ That would not change its nature. After all, $ k $ must be between $ 0 $ Y $ 1.6329 $ and adding $ 1 $ to $ k $ I think that is wrong

Please help me build the test.

Cloud Build Docker replacing fom jenkins step

We are trying to build a pipe for the coupler image using jenkins and cloud construction. Jenkins will verify the source code from the bit store, perform a sovereign code analysis, build artifacts using Maven and push it to nexus artifacts. Once all these steps have been successfully completed, the next step is to activate Google's cloud compilation, which will generate the dockable image by downloading the nexus artifactory artifact and pushing the image to GCR.

We have a challenge here. In the Maven compilation step, we are storing the artifact version of pom.xml to a variable, for example, VERSION. The same value has been passed to the creation of the cloud as a value substitution. But the value is not passed from the maven compilation step to the cloud compilation step. Below is the cloud compilation code:
– name:
args: [& # 39; cp & # 39 ;, & # 39; gs: //test-docker-sai/Dockerfile.txt&#39 ;, & # 39; Dockerfile & # 39;]
– name: & # 39;;
args: [& # 39; build & # 39 ;, & # 39; -t & # 39 ;, & # 39;$PROJECT_ID/test-image: $ _ TAG & # 39 ;, & # 39;. & # 39;]
– & # 39;$PROJECT_ID/test-image: $ _ TAG & # 39;

with replacement _TAG = $ VERSION

Below is the cloud compilation error
Step 1: invalid argument "$VERSION" for the indicator "-t, –tag": invalid reference format

magento2 – Redirect to the final payment step

I have an option where the customer will pay for an order after internal validation.

The customer places the order with a personalized payment method and then I restore the order for the customer to pay.

What I am trying to achieve is in these cases redirect the client to the final payment step. Here is the code.


$cartUrl        = $this->url->getUrl('checkout/#payment/');
$resultRedirect = $this->resultRedirectFactory->create();                    
return $resultRedirect;

This will redirect to the payment step, but then it will redirect me to a 404 page not found, can anyone help me?

Thanks in advance !