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## Context-free grammar for the language with an even number of \$ 0 \$ & # 39; s and \$ 1 \$ & # 39; s

I want to create a context-free grammar that generates the language

$$L = {w in {0, 1 } ^ * | text {the number of 0 & # 39; s is even, and the number of 1 & # 39; s is also par}}.$$

it occurred to me

$$S 0S0S | 1S1S | ABABS | BABAS | epsilon \ A rightarrow 0A0A | 1A1A | 0 \ B rightarrow 0B0B | 1B1B | one \$$

It seems that it does the job, but how can I be sure that it does generate L?

Any help would be appreciated.

## ring theory – Rank of a module \$ R \$ \$ M \$ over \$ R & # 39; \$, where \$ R \$ is a projective algebra of \$ R & # 39; \$.

I'm stuck trying to solve Exercise 7.9.2 in Jacobson Basic Algebra II.[AlltheringswillbecommutativeJacobsonsaysamodule[AllringswillbecommutativeJacobsonsaysamodule[TodoslosanillosseránconmutativosJacobsondiceunmodulo[AllringswillbecommutativeJacobsonsaysamodule$$M$$ finished $$R$$ it has rank $$n$$ yes for any ideal ideal $$P$$, $$M_P$$ It's free $$R_P$$-range module $$n$$].

State the following. Leave $$M$$ be a projecting finger (finely generated) $$R$$-module that has a range. Tell $$R$$ is a $$R & # 39;$$-algebra that is practical and projective as a module, and has a range (again as $$R & # 39;$$-module). Then try $$M$$ has a range over $$R & # 39;$$, and that is equal to

$$rk_ {R & # 39;} (M) = (rk_RM) (rk_ {R & # 39; R).$$

So far I can not even prove that $$M$$ it is projective as $$R & # 39;$$-module, for which I would greatly appreciate any help.

## If you can move

Moving Hunter & # 39; s Mark is not casting the spell again and simply requires a bonus action:

If the target falls to 0 hit points before this spell ends, you can use a bonus action in a later turn of yours to mark a new creature.

The spell should only be cast once (keep in mind that the spell never ends during this process), then, as long as the concentration is maintained, only an additional action is needed to mark a new creature. This means that the act of moving is not a release and does not require anything else, including the components, so it is not affected by silence.

## javascript – react natively: Is it possible to replace & # 39; array[0]& # 39; with & # 39; This & # 39;

I'm trying to `console.log an array`. Instead of the hard coding matrix number, can I use `This status`

For example, this would be the usual way to console.log an array with a number:

``````console.log (array[2], & # 39; Show matrix number 2 & # 39;)
``````

Is there any way I can replace `training[2]`with `this.note.number` ?

I tried this but it will not work.

``````this.state = {
Number 2 & # 39;
console.log (array.this.state.number, & # 39; show array with state & # 39;)
``````

## neural networks: Stephen Wolfram and Gerard & # 39; t Hooft propose that literally every cellular automaton is a universe?

Both Stephen Wolfram and the laureate Laurel Gerard & # 39; t Hooft think that the universe is a cellular automaton.

As far as I know, Hooft developed a series of frameworks to build different models of Cellular Automata and Wolfram also proposed a framework in which the nodes of the network could produce different Cellular Automata universes.

Both proposed specific models of cellular automata to describe our universe (or rather they are working on a description of cellular automata that can be applied completely to our universe), but as they proposed a framework to create different models of cellular automata, this makes me think that these authors think that, literally, each type of cellular automaton corresponds to a universe.

For example, apparently Stephen Wolfram in his book "A new kind of science", chapter 9, defines a series of network nodes that could be capable of reproducing all models of cellular automata. But I'm not sure about this and I would need someone who knows this field better to confirm it.

So, does anyone here know that this is correct? Does anyone here know that this works well enough to tell me if these physicists believe that each model of cellular automata corresponds to a universe?

## : i 2019 & # 39; 4b

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Mervinrox
reviewed by Mervinrox in
.
: i 2019 & # 39; 4b
: i 2019 & # 39; 4bhttps: //i110.fastpic*****big/2019/0524/cd/ca841d2257f70991127b71b3701af6cd.jpg i: i: i: The last statement was very significant considering the fact73 ,, – . 17 2019.,. (,) .Fitzgerald Caravan; Madeleine Peyroux Dance with me to the end of love Hurtom – -. : Marvel & # 39; ":" 25 2019. ":", ": .03 2019 ,, 16:38 64": "Marvel, -, 20, 21, 22, 23, 24, 25, 26.Pay a reply Invite friendsFinally JessieWogSanya
Classification: 5

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## magento2 – Fatal error: class not found & # 39; Magento TestFramework TestCase WebapiAbstract & # 39;

Hi, I'm trying to create an API test for my custom module and I get this error:
Serious error: class & # 39; Magento TestFramework TestCase WebapiAbstract & # 39; it is not found in /var/www/html/app/code/Wakanda/QuoteApi/Test/Api/CustomerQuoteTest.php on line 8

``````    The
& # 39; resourcePath & # 39; => & # 39; & # 39 ;,
& # 39; httpMethod & # 39; => Request :: HTTP_METHOD_GET,
],
];

\$ response = \$ this -> _ webApiCall (\$ serviceInfo);

\$ this-> assertArrayHasKey (& # 39; search_criteria & # 39 ;, \$ response);
\$ this-> assertArrayHasKey (& # 39; item & # 39 ;, \$ response);

\$ this-> assertTrue (\$ response['total_count'] > 0);
\$ this-> assertTrue (account (\$ answer['total_count'])> 0);

\$ this-> assertNotNull (\$ response['items'][0]['name']);
}
}
``````

Any help would be appreciated.

## Keyboard – Problems with the toolbar & # 39; F & # 39; complete on Macbook Air

I have a Macbook Air 2015. It's been great so far, but recently, I've had some problems with it. At the top of the keyboard, there are the & # 39; F & # 39; keys, with F1-F12. Normally, these have several functions, such as changing brightness and volume. This is what I use them for. However, recently, when I try to use them, they have completely different functions, such as opening the "inspect element" tab when I press F12. I suppose this could be because the computer is using the actual function command for the key, instead of the different controls that Apple has. I was wondering if anyone could help me fix this? Is it a problem with the & # 39; Fn & # 39; Thank you!

## python – paramiko. Using pipe & # 39; | & # 39; in exec_command

I need to execute this command: `echo test | / opt / test / bin / test --someoption`

I tried this:

``````client.exec_command (& # 39; "" sudo sh -c  & # 39; echo test | / opt / test / bin / test --someoption  & # 39; "" & # 39 ;, get_pty = True)
``````

I get an error: the command is not found or "directory or file does not exist" if I try some other syntax.
However if I do the same using terminal – it works.