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Several algebraic constructions have obvious definitions and simple properties for BAs: subalgebras, homomorphisms, isomorphisms, and direct products (even of infinitely many algebras). Some other standard algebraic constructions are more peculiar to BAs. An ideal in a BA is a subset I closed under +, with 0 as a member, and such that if a ≤ b ∈ I, then also a ∈ I. Although not immediately obvious, this is the same as the ring-theoretic concept. There is a dual notion of a filter (with no counterpart in rings in general). A filter is a subset F closed under · , having 1 as a member, and such that if a ≥ b ∈ F, then also a ∈ F. An ultrafilter on A is a filter F with the following properties: 0 ∉ F, and for any a ∈ A, either a ∈ F or −a ∈ F. For any a ∈ A, let S(a)= F : F is an ultrafilter on A and a ∈ F . Then S is an isomorphism onto a BA of subsets of the set X of all ultrafilters on A. This establishes the basic Stone representation theorem, and clarifies the origin of BAs as concrete algebras of sets. Moreover, the sets S(a) can be declared to be a base for a topology on X, and this turns X into a totally disconnected compact Hausdorff space. This establishes a one-one correspondence between the class of BAs and the class of such spaces. As a consequence, used very much in the theory of BAs, many topological theorems and concepts have consequences for BAs. If x is an element of a BA, we let 0x = −x and 1x = x. If (x(0), … x(m − 1)) is a finite sequence of elements of a BA A, then every element of the subalgebra of A generated by x(0), … , x(m − 1) can be written as a sum of monomials e(0)x(0) · … · e(m − 1)x(m − 1) for e in some set of functions mapping m = 0, … , m − 1 into 2 = 0, 1 . This is an algebraic expression of the disjunctive normal form theorem of sentential logic. A function f from a set X of generators of a BA A into a BA B can be extended to a homomorphism if and only if e(0)x(0) · … · e(m − 1)x(m − 1) = 0 always implies that e(0)f(x(0)) · … · e(m − 1)f(x(m − 1)) = 0. This is Sikorski's extension criterion. Every BA A can be embedded in a complete BA B in such a way that every element of B is the least upper bound of a set of elements of A. B is unique up to A-isomorphism, and is called the completion of A. If f is a homomorphism from a BA A into a complete BA B, and if A is a subalgebra of C, then f can be extended to a homomorphism of C into B. This is Sikorski's extension theorem. Another general algebraic notion which applies to Boolean algebras is the notion of a free algebra. This can be concretely constructed for BAs. Namely, the free BA on κ is the BA of closed-open subsets of the two element discrete space raised to the κ power.
A very important construction, which carries over to many logics and many algebras other than Boolean algebras, is the construction of a Boolean algebra associated with the sentences in some logic. The simplest case is sentential logic. Here there are sentence symbols, and common connectives building up longer sentences from them: disjunction, conjunction, and negation. Given a set A of sentences in this language, two sentences s and t are equivalent modulo A if and only if the biconditional between them is a logical consequence of A. The equivalence classes can be made into a BA such that + corresponds to disjunction, · to conjunction, and − to negation. Any BA is isomorphic to one of this form. One can do something similar for a first-order theory. Let T be a first-order theory in a first-order language L. We call formulas φ and ψ equivalent provided that T ⊢ φ ↔ ψ. The equivalence class of a sentence φ is denoted by φ . Let A be the collection of all equivalence classes under this equivalence relation. We can make A into a BA by the following definitions, which are easily justified:
These laws are better understood in terms of the basic example of a BA, consisting of a collection A of subsets of a set X closed under the operations of union, intersection, complementation with respect to X, with members ∅ and X. One can easily derive many elementary laws from these axioms, keeping in mind this example for motivation. Any BA has a natural partial order ≤ defined upon it by saying that x ≤ y if and only if x + y = y. This corresponds in our main example to ⊆. Of special importance is the two-element BA, formed by taking the set X to have just one element. The two-element BA shows the direct connection with elementary logic. The two members, 0 and 1, correspond to falsity and truth respectively. The Boolean operations then express the ordinary truth tables for disjunction (with +), conjunction (with ·) and negation (with −). An important elementary result is that an equation holds in all BAs if and only if it holds in the two-element BA. Next, we define x ⊕ y = (x · −y) + (y · −x). Then A together with ⊕ and ·, along with 0 and 1, forms a ring with identity in which every element is idempotent. Conversely, given such a ring, with addition ⊕ and multiplication, define x + y = x ⊕ y ⊕ (x · y) and −x = 1 ⊕ x. This makes the ring into a BA. These two processes are inverses of one another, and show that the theory of Boolean algebras and of rings with identity in which every element is idempotent are definitionally equivalent. This puts the theory of BAs into a standard object of research in algebra. An atom in a BA is a nonzero element a such that there is no element b with 0 < b < a. A BA is atomic if every nonzero element of the BA is above an atom. Finite BAs are atomic, but so are many infinite BAs. Under the partial order ≤ above, x + y is the least upper bound of x and y, and x · y is the greatest lower bound of x and y. We can generalize this: ΣX is the least upper bound of a set X of elements, and ΠX is the greatest lower bound of a set X of elements. These do not exist for all sets in all Boolean algebras; if they do always exist, the Boolean algebra is said to be complete.
A basic result of Tarski is that the elementary theory of Boolean algebras is decidable. Even the theory of Boolean algebras with a distinguished ideal is decidable. On the other hand, the theory of a Boolean algebra with a distinguished subalgebra is undecidable. Both the decidability results and undecidablity results extend in various ways to Boolean algebras in extensions of first-order logic.
To date, Helium is the only fluid to exhibit superfluidity, that has been discovered. Helium becomes a superfluid once it is cooled to below 2.2k, this point is known as the lambda point. 6 Temperatures above the lambda point, Helium exists as a liquid exhibiting normal fluid dynamic behavior. Once it is cooled to below 2.2k it begins to exhibit quantum behavior. For example, at the lambda point there is a sharp increase in heat capacity, as it is continued to be cooled, the heat capacity begins to decrease with temperature. 7 In addition, the thermal conductivity is very large, contributing to the excellent coolant properties of superfluid Helium. 8
Spectrometers are kept at a very low temperature using Helium as the coolant. This allows for minimal background flux in far-infrared readings. Some of the designs for the spectrometers may be simple, but even the frame is at its warmest less than 20 Kelvin. These devices are not commonly used as it is very expensive to use superfluid helium over other coolants. 9
ρ D v D t = − ∇ p + ρ g \displaystyle ho Dv \over Dt =- abla p+ ho g
In 1845, George Gabriel Stokes published another important set of equations, today known as the Navier-Stokes equations. 1 16 Claude-Louis Navier developed the equations first using molecular theory, which was further confirmed by Stokes using continuum theory. 1 The Navier-Stokes equations describe the motion of fluids: 1
When the fluid is inviscid, or the viscosity can be assumed to be negligible, the Navier-Stokes equation simplifies to the Euler equation: 1 This simplification is much easier to solve, and can apply to many types of flow in which viscosity is negligible. 1 Some examples include flow around an airplane wing, upstream flow around bridge supports in a river, and ocean currents. 1
Superfluid Helium has a very high thermal conductivity which makes it very useful for cooling superconductors. Superconductors such as the ones used at the LHC (Large Hadron Collidor) are cooled to temperatures approximately 1.9 Kelvin. This temperature allows the niobium-titanium magnets to reach a superconductor state. Without the use of the superfluid Helium this temperature would not be possible. Cooling to these temperatures, with this fluid, is a very expensive system and there are few compared to other cooling systems. 10
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How Does Arbitrage Impact ETF Pricing?
Other questions remain about the extent of mispricing that can occur between the ETF and underlying securities when markets have extreme moves and whether the benefit from the arbitrage, which causes NAV and market price to converge, may fail during extreme market moves. For example, during the Flash Crash in 2010, ETFs made up many of the securities that saw large price declines and also experienced temporary mispricing of greater than 10% from the underlying index. Although this is an isolated occurrence in which ETF arbitrage may have temporarily increased volatility or had unintended consequences, additional research is warranted.
ETF arbitrage can occur in couple of different ways. The most common is through the creation and redemption mechanism. When an ETF issuer wants to create a new ETF or sell more shares of an existing ETF, he contacts an authorized participant (AP), a large financial institution that is a market maker or specialist. The AP’s job is to buy securities in equivalent proportions to mimic the index the ETF firm is trying to mimic, and give those securities to the ETF firm. In exchange for the underlying securities, the AP receives shares of the ETF. This process is done at the net asset value of the securities not the market value of the ETF so there is no mispricing. The reverse is done during the redemption process.
ETF Arbitrage: Creation and Redemption
ETF arbitrage is not a long-term strategy. Mispricings happen in the short-term and these opportunities close within minutes if not sooner. But ETF arbitrage is advantageous for the arbitrageur and the market. The arbitrageur can capture the spread profit while driving the ETF’s market price back in line with its NAV as the arbitrage closes. Despite these market advantages, research has shown that ETF arbitrage may increase volatility of the underlying assets as the arbitrage emphasizes or intensifies the mispricing. The perceived increase in volatility needs further research. In the meantime, market participants will continue to benefit from temporary spreads between share price and NAV.
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Da li se testovi vrmenom mogu ponovo raditi?
Dobar dan, procitah ovaj lep uvodni tekst sa uputstvima za rad, ali imam jedno pitanje.Da li je moguce raditi na tim sajtovima bez znanja engleskog jezika? Postoji li nesto slicno na srpskom ili sam se uzalud ponadala? Hvala unapred na odgovoru, pozdrav.
Odlican tekst, hvala, zaista. Dobio sam prvi posao, placa se po satu, oDesk je u pitanju. Prvi novac je legao i povukao sam ga na Skrill racun. Da li mi mozete dati preporuku za neku banku preko koje je najlakse dobiti u Srbiji taj novac? Ja imam Visa Electron karticu u UniCredit banci (koja odlicno radi sa Paypal-om - za placanja), kao i devizni racun u istoj banci. Hvala svima i pozdrav.
Vladimire, da li si dobio na sajtu obavestenje da je poslodavac izabrao tebe za taj projekat?Ako te je izabrao, imaces mogucnost da prihvatis ili odbijes projekat.Jos mozes pre pocetka projekta da trazis od poslodavca da napravi "milestone payment" U tvom slucaju ti je pretpostavljam poslodavac samo napisao poruku da radis tamo i tamo a da te nije ni oficijalno izabrao za njegov projekat ako sam dobro razumeo.Ako je tako, onda ce verovatno poslodavac da zbrise nakon sto mu odradis posao.Pretpostavljam da se radi o Captcha projektu (prekucavanje slika u text). To je jedan od projekata koje sam gore spomenuo da treba izbegavati.Mozes da pogledas i kakav ima poslodavac feedback pa zakljuci i sam da li mozes da mu verujes.Najbolji nacin je da komuniciras sa poslodavcem i da sve ide po pravilima freelance sajtova.Ako i dalje nisi siguran mozes da mi posaljes email sa link-om na taj projekat i prekopiraj sta ti je tacno napisao. (internetsljakaATgmailTACKAcom)<- imejl
bila na freelenceru i registrovala se, al meni tamo nije jos sve najjasnije, a i kosta... kako vidim tamo ima nekih testova, koji se placaju a naravno da ce da se angazuje neko ko ima tih nazovi diplomica a ne ja koja nemam.
Priločno ste lepo opisali i dosta toga obuhvatili u članku. Ima jako puno mogućnosti i načina zarade na netu. sve se može ako se zna i ako je čovek edukovan za nešto.
Ivane, ako razumes kako treba da se odradi projekat i das to do znanja poslodavcu, mislim da mu gramaticke greske nece smetati. Vecinom je komunikacija putem imejla, tako da ti je na raspolaganju i online prevodilac (translate.google.com) koji ce ti olaksati posao.
Ever since the TFA Sniper V2 has been introduced, the auto trading aspect of it allows us to focus our energy on continuously improving the trading logic of the system and tweaking its incredibly flexible settings to reap unbelievable results. The goal of The Forex Army remains the same in helping each other as a community to achieve even better results with the TFA Sniper.
To drive this message home, our world class forex scalping system is called the : TFA Sniper. And there’s a perfectly good reason why it’s called a Sniper. A sniper waits patiently for hours for the perfect opportunity to take a shot, and when the opportunity arises, he hits his target with one single shot. That’s what we are trained to do here in The Forex Army : We set up our TFA Snipers to wait for the perfect trading opportunity and when the opportunity lines up, we go in for the kill. We’re not here to trade, we’re here to make money and if making three to five simple trades a day (we had users who even made their profits with one trade a day) got us there, there’s no reason for us to compromise on our rules and enter 50 trades a day.
That is why here at The Forex Army, we work together as a team through our Live Forex Trading Room. It’s a room where every person using the TFA Sniper should be when he is online. We are all trained from the same super important forex scalping strategy guide, using the same strategy on the same platform watching the same currency pairs. We then work together in picking out good areas to buy and sell when the market starts becoming volatile. We trade together, profit together and enjoy life together.
The Forex Army is where forex traders from all over the world come together to scalp the forex market with a highly specialized MetaTrader 4 weapon : The TFA Sniper.
We all have tasted sweet success with trading and have enjoyed the extra income (or even completely replaced incomes for some of us) that comes with trading just 1-2 hours every day. The key is not to be completely consumed by the forex market, watching it every second and every tick. Instead, we believe in trading only when the opportunity shows itself. There’s a thin line between trading and making money. We’re here to make money, not to trade. Trading just happens to be the means to the end goal of making money.
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For example, let’s say that Joe decided to buy ten shares of Apple on Tuesday. If Joe sold all of those shares on Wednesday, before purchasing any more shares of Apple, then Joe has not made a day trade. On the other hand, Julie bought ten shares of Apple on Thursday, sells half of those shares on Thursday afternoon, and sells the last five shares Friday; Julie made a day trade.
However, be aware that your broker may impose greater restrictions in terms of minimum account size or maximum margin. And your broker has the freedom to designate you as a pattern day trader, even if they only suspect that you will be one in the future.
Have you ever wanted to be a day trader? It probably wasn’t your childhood dream, but many people quite enjoying day trading as a hobby, and sometimes as a career.
Tips from a trader: Just because you’re trading in a margin account, doesn’t mean that you should use margin. Most people never trade on margin because they have no need for it. Not only does trading on margin increase your risk, but it can significantly increase the amount of money that you pay your broker each month (every loan has interest).
See our list of best brokers for day trading >
According to the SEC, the following situations would not be considered day trades: