Line Integral of a Scalar Field
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Anyone need some scalar?
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Discrepancy Integrating Using Long Division When Factoring Out Scalar
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Question: asymptotic complexity of scalar transformations with and without SSA

Dear compiler experts,

What are examples of scalar optimizations where performing them of an SSA form has strictly lower asymptotic complexity than performing them on the original form?

I have just realized that, for example, dead code elimination (of useless instructions) seems to have exactly the same, cubic, complexity.

Consider the non-SSA case. We have two options: either traverse in forward direction for each assignment (preorder DFS) to look for a register use (which gives us the quadratic complexity), or traverse the whole CFG in forward direction (preorder DFS) maintaining a map of definitions for each variable and mark definitions as used (which gives us the quadratic complexity, given that each variable may have multiple definitions). Since we have to repeat the previous process until a fixed point is reached, the total complexity is cubic in the worst case.

Now consider the SSA case. We can use, for instance, a map like above, but since a variable may only have a single definition, the complexity seems to be linear but, it's actually also quadratic, since we will process uses in the φ-functions, which have as many arguments as there are basic block predecessors (i.e. again proportional to the program size in the worst case). And again, we have to repeat the previous process until a fixed point is reached, so the total complexity is cubic as in the non-SSA case.

Maybe this is not about theoretic complexity but about empiric evidence that using SSA speeds up things in practice? (I already know about some pitfalls with analysis precision for some analysis if we refuse to use SSA and use instead, say, def-use chains. My question is specifically about compilation performance.)

Thanks for any indications.

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Animation of Line Integrals of Scalar Fields with 3b1b's manim. I've also made a video on it (Link in the comments), would be glad to receive any feedback. v.redd.it/uawlrhek8q961
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Animation of Line Integrals of Scalar Fields. I've also made a video on it (Link in the comments), would be glad to receive any feedback. v.redd.it/xn79674poq961
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My starting point ! Dell PowerEdge R815 + Quantum Scalar 24
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Sequence Prediction from Scalar Input

I was wondering if there is a method for predicting a sequence of numbers from a set of scalar inputs.

E.g. If you have the parameters of a PID controller as input and it's behaviour in the frequency domain as an output, or some time series measurements from the PID controller as an output.
Another example would be that you have a type of plant growing in different environments. And say you keep the environment constant, like acidity of the soil, water content in the soil, amount of sun... These are the inputs. And then you would like to predict the mass of the plant in fixed time steps. So, let's say in one week the plant grew 10g, in 2 weeks it grew another 15g, and so on...

Would one ideally use some type of RNN architecture with scalar parameters as input and a sequence as output. I can't really find any fitting information regarding this problem. Are there any good papers? Cheers!

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Linear Transformations with complex scalars

Are Linear Transformations in general, linear with respect to complex Scalars?

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Scalar Watch Face Free Limited Coupon
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Are all real numbers scalars?

As I understand it, scalars are characterized by having the same value in all coordinate systems. With this understanding I assume that all real numbers are scalars. But my professor said that they are not. Can anyone explain to me when a real number is not a scalar?

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Scalar Multiplication of Matrices & Matrix Operations youtube.com/watch?v=SK1jB…
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A warped scalar portal to fermionic dark matter link.springer.com/article…
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A warped scalar portal to fermionic dark matter link.springer.com/article…
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A warped scalar portal to fermionic dark matter link.springer.com/article…
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Can someone please help me understand what the scalar value we get from a dot product represents?

Hi everyone I've been looking at this online and I still don't understand what the scalar number that comes out means. I know it probably depends on the context of your vectors, but I can't get even a general sense of what the number represents. Any help would be greatly appreciated

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The Scalar Process - Poisoned Fruit youtu.be/oBELEq-00a8
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Kyroshie - Scalar [IDM Heavy Bass Experimental with nuclear energy] ☣️☣️☣️ v.redd.it/l658p303eud61
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Encoding curvature of space in a scalar valued function

This is a bit of a thought experiment I was playing around with the past few days.

https://preview.redd.it/34l8fv3vct861.png?width=796&format=png&auto=webp&s=08b51977a171f168c1bf479465a26bb0a835ddc2

If I'm missing some fundamental theorem or fact from Differential Geometry, please let me know. I'm also mostly self-taught so if my nomenclature is garbage let me know about that too. Anyway, I'm curious about this idea.

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Config problem - can't get PHP app running - Scalar / CodeIgniter / PHP + nginx

I'm having trouble getting a php app running on my server. (The program in question is called Scalar). It uses CodeIgniter, which I'm not familiar with. Unfortunately, everyone I've talked to from ANVC (who made Scalar) only knows Apache config for it.

From what I understand, the Scalar is supposed to pass the path as a parameter to the codeigniter.php file. I can get the home page (normally index.php, but in this case codeigniter.php) to successfully execute - the root shows the web page and offers an option to login/register. However, when you click on the link, it takes you to

http://test.domain.tld/system/login?redirect_url=%2F%3F

(I looked up %2F and %3F - they are / and ?)

That path (system/login) doesn't exist in the actual folder structure, and I don't think it's supposed to - but it fails to actually deliver any appropriate content - it just refreshes the home page (codeigniter.php).

Anyway, without further explanation, here's my nginx config. I was hoping someone would see a problem with it that I can fix!

server {

	root /var/www/test.domain.tld/;
	server_name test.domain.tld;
	location / {
		try_files $uri @pathinfo;
	}
	rewrite ^/$ /codeigniter.php last;
	location @pathinfo {
		rewrite ^/$ /codeigniter.php$args$args;
	}
	location ~ \.php$ {
		fastcgi_pass    unix:/var/run/php-fpm/www.sock;
		fastcgi_param   SCRIPT_FILENAME $request_filename;
		fastcgi_param   APPLICATION_ENV  production;
		include fastcgi_params;
	}

}

Anyone see what I'm doing wrong?

Thanks in advance.

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[Academic] Scalar Items: Is A Matter of Grammar or Pragmatic Inference? (Native Speakers of English)

Title**:** Scalar Items: Is It a Matter of Grammar or Pragmatic Inference?

I would like to invite native speakers of English to a web-based study. It was designed to examine how monolingual and bilingual participants process scalar items in certain environments. The study will take approximately 20 minutes. It consists of two different experiments, but each individual should solve one of them.

I will share two survey links for the same study, but just solve one of them.

https://www.questionpro.com/t/ARwczZkR5M

https://www.questionpro.com/t/ARwczZkRxr

More information is available on the consent form, or contact me for any further questions about this study.

Thank you for considering my study!

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