## Aggressive geometry – Temporal complexity of a quantified linear program without free variables with only existential quantifications

All known examples of lower double exponential bounds for real quantizer elimination without free variables (essentially a decision problem) involve polynomial inequalities with degree $$> 1$$

Is there an example of double exponentiation with polyhedral inequalities where polyhedral inequalities relate to degree? $$1$$ for the case of non-free variables?

We know $$exists x in mathbb R ^ n: Axis leq b$$ is a standard linear program.

I mainly look at the following case of quantized linear program without any free variable with only existential quantifications.

Can we still solve programs like $$exists x_1 in mathbb R ^ {n_1} points exists x_t in mathbb R ^ {n_t}$$$$A_1 (x_1, x_2) ^ T leq b_1 coin dots coin A_ {t-1} (x_ {t-1}, x_t) ^ T leq b_ {t-1}$$
and
$$exists x_1 in mathbb R ^ {n_1} points exists x_t in mathbb R ^ {n_t}$$$$A_1 (x_1, x_2) ^ T leq b_1 corner A_2 (x_1, x_2, x_3) ^ T leq b_2 coin dots corner A_ {t-1} (x_1, points, x_ {t- 1}, x_t) ^ T leq b_ {t-1}$$
at the hour $$mathsf {poly} (t, sum_ {i = 1} ^ t (m_i + n_i))$$ or $$A_i$$ are matrices in $$mathbb R ^ {m_i times n_i}$$ and $$b_i$$ are vectors in $$mathbb R ^ {m_i}$$ by collapse quantifications into one big $$exists$$ quantify and consider as a standard linear program and solve through standard linear programming techniques?

Or is it possible that there are scenarios in which the program would require time $$big ( sum_ {i = 1} ^ t (m_i + n_i) big) ^ {2 ^ {O (t)}} mathsf {poly} (t, sum_ {i = 1} ^ t (m_i + n_i))$$ or maybe as much as $$2 ^ {O big ( big ( sum_ {i = 1} ^ t (m_i + n_i) big) ^ t big)} mathsf {poly} (t, sum_ {i = 1} t (m_i + n_i))?$$

Related, connected, related: Elimination of the quantizer without free variables and without polyhedral inequalities

In this blog introductory article, https://cstheory.blogoverflow.com/2011/11/something-you-should-know-about-quantifier-elimination-part-i/, it is mentioned in the last line that "I do not know if a doubly exponential lower bound is known for the decision problem when there are no free variables".

I want to know if this comment applies to scenarios without alternation.

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Let's Extract can literally extract in many ways, including but not limited to: search engines (Google, Yahoo, Aol, Yandex, etc.), Facebook, Twitter, Yelp, Whois and well Moreover.
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## FREE £ 15 with the Monese Prepaid Card Application – Other Opportunities to Earn Money

Passive income of \$ 336 https://minepi.com/Absinth

Pi Coin Cryptocurrency Mining Made Simple for Everyday People (Passive Income)

Combination of Cryptocurrency Extraction and Travel

It is very likely that you have heard about the very high prices of crypto-currencies such as Bitcoin, but that you probably know nothing else about it. Understanding how Bitcoin and Blockchain technology works can be a little daunting and overwhelming for new Crypto-space users. But hey, I'm not an expert either and I just tried to know enough not to miss.

As a person aspiring to become a digital nomad and travel the world, you may want to consider starting now. And here I can show you how easy it is to start without any knowledge of Bitcoin, Blockchain and cryptocurrency.

If you know how to download an app on your smartphone or tablet. So you are ready to earn cryptocurrency. You use your smartphone for virtually anything: communication, paying bills, watching YouTube videos all day, looking for restaurants, etc. So why not also use it to make money every day and cost you nothing more than just download an app?

The tides are constantly changing and to survive, you have to navigate with the wind. Not against that. Do not leave free money on the table and read on.

The Pi network (Minepi.com) is becoming more and more popular every day and is perhaps one of the fastest growing networks in the cryptocurrency world from 2019. It's no wonder you want to get as many members under your command as quickly as possible.

The exploitation of cryptocurrency Pi Coin does not require almost any effort, just press once on the flash symbol once a day. After that, you can continue to use your phone normally or turn off the screen. The Pi coin is continuously extracted for 24 hours in the background of your device without using huge amounts of energy unlike mining Bitcoin.

As the Pi network continues to grow and 1,000 new miners register each day, the extraction rate will be halved accordingly, which means that it will be harder and slower to obtain coins. Pi currency. So it is quite obvious to be part of these people to start very early this cryptocurrency booming.

But why do I share my secrets? Are not you afraid of competition? Not really. Because for 1, I believe in Pi vision, so I want to help it grow by helping you grow up. Moreover, even if this information is available, I doubt that all those who read it will really try to grow (please prove me wrong).

24 hours a day, 7 days a week

168h per week 4 weeks per month

672h per month

If PI is listed on the market and the price is \$ 0.05, you have a passive income of \$ 336. If you exploit me passive 1 PI per hour. This is only one click on your mobile a day.

What is the Pi network?

The Pi network is a small group of people connected in a security circle stitched with other smaller security circles to create a "trust graph" that will help users know who to trust and deal with. The security circle is used to validate a person's identity in order to allow transparent and secure transactions in the Pi cryptocurrency market. This is to ensure that no fraudulent activity can take place in the network. .

The members of the core team

Nicolas Kokkalis – Chief Technology Officer Stanford Ph.D. and Instructor, Stanford First Class Decentralized Applications; combining distributed systems and human-machine interactions to bring cryptocurrency to ordinary people.

Dr. Chengdiao Fan – Stanford Ph.D. Product Manager in Computer Anthropology, leveraging social computing to unleash human potential on a global scale.

Vincent McPhillip – Leader of the community, a social movement builder trained by Yale and Stanford, aims to democratize the way society defines, creates and distributes wealth.

Their mission is to build a platform for cryptocurrency and smart contracts that is secure and exploited by ordinary citizens like us, but with simplicity.

Their vision is to make cryptography and spending as simple as "Pie", making it the most inclusive P2 peer-to-peer market in the world.

· The network has about 70,000 active members a day who extract each day from the Pi Network app and grows incredibly fast. Once they reach the first threshold of 100,000 users, they HALVE the rate of extraction. That's right, so the speed of operation for you will become less and less important as more and more users join the network. However, if you register today, become a (PI) viewer and help steer the Pi network in the right direction. You'll get a bigger share of the PI (E) and you'll turn it into huge savings until it reaches the foreign exchange market.

· They will release an update during the fourth quarter of 2019 that will allow users to send their Pi coins to any other network user. This will be the beginning of seeing the true value of the piece. Personally, for me, I totally agree, especially if it was enough to download a single application.

· You do not have to spend extra money as long as you have a smartphone or tablet.

· Pi network invitation

· Currently, the Pi network is in beta and to join the network, just an invitation code sent by a person already member. You can join under my name and be added to my security circle.

What can you do with your Pi coins?

In the future:

Pioneers can bet that Pi attracts the attention of other members of the network, sharing content (eg, text, images, videos) or asking questions.

Redeem Pi coins with other members

Use Pi to buy goods on the Pi market

P & Es exchange for ETH or BTC that can be exchanged in fiduciary money

Much more than the network is moving to mass adoption

As they are currently in beta, you can extract Pi parts at higher rates because there are fewer users on the network. Like Bitcoin for example; Bitcoin mining 10 years ago, you could get some bitcoin every hour or so. Now you will get something around 0.000001 BTC per hour as there are now millions of miners (the extraction rate varies for everyone depending on their platform).

Think of Pi as the very beginning of Bitcoin, when no one really knew or really understood what his technology was. Imagine if you knew then what you know now. Would not you do it like crazy? The same goes for the coin Pi.

Need to know more?

https://minepi.com/white-paper https://minepi.com/faq

Comment down if you joined the group so that I can add you to my circle of safety.

Thank you for reading, do you like? Share it!

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Let $$X$$ to be a Noetherian, affine, isolated of dimension at least $$2$$ and $$pi: widetilde {X} to X$$ a resolution of singularities. Let $$mathcal {E}$$ to be a locally free sheaf on $$widetilde {X}$$ such as $$pi _ * mathcal {E}$$ is free $$mathcal {O} _X$$-module. is $$mathcal {E}$$ necessarily trivial, that is to say a direct sum of copies of $$mathcal {O} _ { widetilde {X}}$$?