I am so happy to be back in the land of the living I could jump up and down!
On second thoughts, given my newly reconstructed mammaries (that's something I never thought I'd type) I'm pretty sure dancing around might hurt a bit, so I'll refrain. I'll just grin a little instead.
Before I share with you what I've got planned for this month, I want to give the biggest shout-out possible to the staff at Casey Hospital.
I wasn't sure what to expect from this stage of my medical adventure; the hospital was a fair stint from home, I'd never been there before and I was quite nervous about going under the knife again. Right from the outset, the staff at Casey were without exception wonderful, and put my mind at ease.
The nursing staff of Ward A took such amazing care, knew their job so well, and were more than happy to have a little chuckle with me to lighten the mood. No one likes to spend time laid up, but these guys make it more than bearable. So, thanks Casey peoples, you're super.
And now I'm pleased to say that I'm home sweet home. Moving a little slower than usual, but very happy to have a clear head and a little bit of time to do some reading and writing.
Because I'm not quite up to form and wont be able to go out much for the next couple of weeks, I've decided to make this month BE MY GUEST AUGUST. I am so excited to be able to include some really interesting new voices on TBYL! I've asked a few friends and fellow bloggers to share their thoughts on something that they're loving at the moment – and I think it should make for a really colourful and fun-filled month of reviews.
I'll start off Be My Guest August tomorrow with a book review from the wonderful Fiona of My Mummy Daze fame. She'll share her thoughts on some fun chick lit.
I hope you'll join me in hearing from my new friends, I'm very excited.
Pst…a big announcement coming in a couple of days too. Stay tuned (wink, wink).
Well, I'm still laid up in hospital. I am at least feeling quite a bit better, and I can see straight again, now that the meds are little less frequent and at a much lower dose.
As I mentioned in my last post, I don't think I would survive hospital nights with my sanity if it weren't for my podcasts. I wanted to share one with you that I have listened to a couple of times this week. It's by Kate Grenville, and it's quite insightful.
As an Arts student, I was asked many times – why? What are you going to use Arts for? I have in fact asked myself that question numerous times, about art, reading, and writing. I've never had any doubt as to their value, but I was keen to try and quantify just why they were important.
Kate's lecture on Artists, Writers and Climate Change for ABC's Big Ideas goes some way to respond to the question, and I think she really nicely highlights (somewhat scientifically) why art and the like is so important to our well-being and to our future.
I've popped a link to the vid and the podcast above, and I'd really recommend that you give it a listen. Feel free to share your thoughts.


text:
LIPA Reduces Solar Energy Rebate
September 22, 2003 [SolarAccess.com] As of September 10, 2003, Long Island Power Authority's (LIPA) 1000 kW PV incentive block of US$5 per DC watt has been filled and is now closed. Effective September 10, 2003, LIPA is offering $4.50 per DC watt towards LIPA pre-approved PV applications up to 10 kW for a maximum rebate of $45,000. This rebate level will be applied towards a total incentive block of 1000 kW. LIPA's Solar Pioneer forms and solar Web site (at the link below) are in the process of being updated to reflect the $4.50 rebate level.

redpajama_set_name: RedPajamaCommonCrawl


text:
Matter & Energy
Science Bulletin
Home Engineering Artificial intelligence for obtaining chemical fingerprints
Artificial intelligence for obtaining chemical fingerprints
170926105459 1 540x360
The scientists have found a way to accelerate chemical simulations using artificial intelligence.
Credit: Copyright Philipp Marquetand
Drastic advances in research of artificial intelligence have led to a wide range of fascinating developments in this area over the last decade. Autonomously driven cars, but also everyday applications such as search engines and spam filters illustrate the versatility of methods from the field of artificial intelligence.
Infrared spectroscopy is one of the most valuable experimental methods to gain insight into the world of molecules. Infrared spectra are chemical fingerprints that provide information on the composition and properties of substances and materials. In many cases, these spectra are very complex — a detailed analysis makes computer-aided simulations indispensable. While quantum chemical calculations in principle enable extremely precise prediction of infrared spectra, their applicability in practice is made difficult by the high computational effort associated with them. For this reason, reliable infrared spectra can only be calculated for relatively small chemical systems.
An international group of researchers led by Philipp Marquetand from the Faculty of Chemistry at the University of Vienna has now found a way to accelerate these simulations using artificial intelligence. For this purpose, so-called artificial neural networks are used, mathematical models of the human brain. These are able to learn the complex quantum mechanical relationships that are necessary for the modelling of infrared spectra by using only a few examples. In this way, the scientists can carry out simulations within a few minutes, which would otherwise take thousands of years even with modern supercomputers — without sacrificing reliability. "We can now finally simulate chemical problems that could not be overcome with the simulation techniques used up to now," says Michael Gastegger, the first author of the study.
Based on the results of this study, the researchers are confident that their method of spectra prediction will be widely used in the analysis of experimental infrared spectra in the future.
Story Source: Materials provided by University of Chicago Original written by Whitney Clavin.Note: Content may be edited for style and length.
Michael Gastegger, Jörg Behler, Philipp Marquetand. Machine learning molecular dynamics for the simulation of infrared spectra. Chem. Sci., 2017; 8 (10): 6924 DOI: 10.1039/C7SC02267K
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Marquee hire – ask any typical American or Brit about a wedding tent or marquee and they'll most likely describe it as a large white tent. With those that do, you can probably guess that they have never been to an Asian wedding. Marquee hire is a core part of the arrangements of an Asian wedding and the Mandap is the core feature.
In the past Asian weddings have traditionally taken place outside. In the UK, the unreliable and exceptionally unpredictable weather that we have means that the more traditional a wedding is, the more likely it will need a tent or a marquee. Not all wedding tents are made the same, so when you decide to choose one you are going to have to do some shopping around. Almost much as the bride will have to, for her dress. After all the tent is the wedding dress of the entire event.
Similarly, the Mandap could be considered the same. The possibilities for the mandap seem limitless once you apply your imagination. All you need to do is look at the different styles and themes that are available across the UK.
There will be several considerations when hiring a tent. The first is obviously the venue. Are you sure that the venue has the spatial capacity for the size and style of the tent you want to hire. It is good idea to ensure that although the venue is ideal for weddings that take place outside. Do you have the consent to pitch a marquee or tent? If the venue has never been used for an Indian wedding before, be sure that the hosts at the venue are aware of everything that is involved in preparations. One would expect that people would know that the affair is not one of a simple turn up and celebrate. Weddings take days of preparation that will need to take place before the event.
Putting up a mandap is a given, whether the wedding is indoors or out. Few wedding venue hosts could possibly be ignorant of the requirements for one. However there are still some checks that need to be made. The size of the room where the wedding will take place is a critical factor. Some Mandaps are tall with some rather exotic accessories, so the height of the ceiling should never be left as an afterthought.
The overall size of the Marquee must also be decided upon. Based on the number of wedding guests that are expected to come, a decision should easily be made. This will influence the end cost. Remember that no one likes to be crushed up close in a tent. No one should feel that they must endure the proceedings rather than enjoy them.
Most people will look at this option rather sceptically. Ask anyone that has six daughters whether they think it's more cost effective to buy or to Marquee hire a wedding tent. Large families are likely to entertain at many ceremonial events over the years. For them buying a tent may be a financially better choice.
While mixing and matching ensures that everything fits together, it is something the women will watch with a close eye for detail. Imagine the wrath of the future mother in law if the tent detracts from this entirely. The outfits and the bride and groom's attire have been selected and are perfect. The colour palette is ideal and the catering has been organised to meet the needs of every possible guest. The absolute last thing you need is the wrong tent or mandap. You wouldn't pitch a military tent for a children's birthday party. In the same way you wouldn't pitch a bland makeshift tent at a wedding where everything else has been planned down to the finest detail.
Always check what contingencies are in place. Make sure to call your tent provider at least a week to ten days before the event. While it is a nightmare scenario, you wouldn't want to have everything else in perfect place, and no tent because your tent supplier has suddenly gone out of business. Always have a contingency even for the tent and the Mandap. Where possible however try and see if you can get both from the same supplier. When this happens the supplier will ensure that everything fits in place.
Ask your supplier if they visit the event site well before the event to ensure that the tent can be appropriately sited. If they don't do pre-checks, then look elsewhere.


Known for its variety and breadth of cuisine, Saigon is often dubbed the food capital of Vietnam.
This city, in contrast to the traditional Hanoi, is a modern and vibrant place. Vibrant in its nightlife, and in its culinary scene of numerous tastes from Vietnam regions and other countries. In these diverse range of choice, here are the exclusively picked restaurants for those who love spacious, luxurious setting, good quality food and beverages at reasonable price. This guide is to help you navigate easier in your next trip to Saigon.
Lively belly dance performance on selected nights.
Features: Vietnamese cuisine, the city's most charming dining venues – old French villa with quiet outdoor garden, fresh ingredients, great value for money, just steps from the Park Hyatt.
Recommendation: In case you are not a spicy lover, tell the staff to reduce the spiciness of curry to customized taste for foreigners.
A haven of tranquility for diners looking out for authentic Vietnamese taste.
Feature: Japanese style, meat grilled on table with modern equipment, perfect selection for friend gathering, the rich flavour of dipping sauce blends with the fragrant sauce and chilli, mashed garlic.
It is considered as a delicious grilled restaurant in HCMC that impresses the heart of foreign customers.
Recommendation: Fried chicken with sauce. Really hearty portions, best to come with family or friends.
Place to go for steak aholic!
This is the grilled restaurant in HCMC in relation to Korean flavor. Plan – K is the meaty market – grilled restaurant. Going to Plan -K market to choose whatever meat you like and while on your meal, you will be instructed how to grill meat in correspond to different kinds of meat. Tenderloins in meat are carefully eliminated and delightful decorated with fizzle sound.
Located in the center of district 1, DE SALITA restaurant offers Western BBQ. Have you ever tried the spicy flavour and fragrant BBQ flavour from young pork rib of De Salita? If not yet, let's come to De Salita and sniff impressive after – taste of BBQ. Also, you can try grilled chicken: soft, and sweet, serving with fried rice. All make the reputation for this BBQ restaurant.
Should you need further information, contact our travel consultants !


text:
Suniel Shetty To Make His Comeback!
Bollywood actor Suniel Shetty is good to go to make a comeback on the silver screen with "Bang Bang 2" after a gap of 3 years. The movie is not a spin-off, but rather Bang Bang 2 is a part of the same establishment that stars Sidharth Malhotra and Jacqueline Fernandez in the lead roles. The movie is titled as "Reloaded."
The film will have Suniel Shetty who will be playing the role of an ex-colonel who will coach a gathering of cadets. Amongst these novice, enlistees would be Sidharth Malhotra's character. We hear that, Suniel will be playing his age and sport an amazing look with salt and pepper hair!
He will report to Malaysia to begin shooting in October. After the film's first shoot calendar has wrapped up in Mumbai, the film's cast and crew will take off to Malaysia. Reports suggest Suniel's character will have shades of grey, and that he will be in a piece few action scenes.
The film is being helmed by Raj Nidimoru and Krishna D.K., will hit theaters next year.
Related Topics:Bang Bang-2Jacqueline FernandezMango Bollywoodmangobollywoodraj and dkreloadedSidharth Malhotrasuniel shettySuniel Shetty back to Silver ScreenSuniel Shetty is BackSunil Shetty
Akshay Kumar Remuneration for Jolly LLB 2 ?
Sonam Kapoor Latest Photoshoot Is Too Good To Handle


Zach and Danielle Lieb take to the floor for their first dance.
Great seeing my friend and brother tonight.
We were lucky enough to meet Zach's buddy's from Lexington Fire Department. He's in good hands with his Kentucky brothers.
Lisa and I wish the best for these two love birds.


text:
Q: Simplest way to replace deprecated std::error::Error::description warning: use of deprecated associated function `std::error::Error::description`: use the Display impl or to_string()

error::Error::description(self)

Does this justify the whole Display impl boilerplate or can I can away with the simpler to_string(). What was in description that's now deprecated (and I will miss dearly because of its simplicity)?

A: Add the Display implementation; that's how errors are done, now.
You can minimize boilerplate by using the thiserror derive macro library to generate one for you, using strings you annotate your error type with.

redpajama_set_name: RedPajamaStackExchange


text:
Limbaugh detained at Palm Beach airport (AP)
AP - Rush Limbaugh was detained for more than three hours Monday at Palm Beach International Airport after authorities said they found a bottle of Viagra in his possession without a prescription.
Rowling: Two 'Potter' characters will die (AP)
AP - Author J.K. Rowling said two characters will die in the last installment of her boy wizard series, and she hinted Harry Potter might not survive either.
Another maid sues model Naomi Campbell (AP)
AP - Naomi Campbell is being accused of less-than-model behavior again, this time by another of her maids who claims the supermodel hit her.
Jackson won't be in court for lawsuit (AP)
AP - Michael Jackson is the key figure in a lawsuit going to trial this week, but the pop superstar won't be in the courtroom while lawyers and witnesses thrash out the question of whether he owes $3.8 million to a former business associate.
Boy George avoids jail, but gets scolded (AP)
AP - Boy George won't be going to jail. But the former Culture Club singer got a scolding from a judge Monday for not complying with the terms of his sentence on a drug charge.
Zhang's "Flower" blooms for Sony Pictures Classics (Reuters)
Reuters - International stars Chow Yun-Fat ("Crouching Tiger, Hidden Dragon") and Gong Li ("Memoirs of a Geisha") soon will be returning to American shores.
Supreme Court Refuses to Play by Ja Rules (E! Online)
E! Online - Ja Rule's old record label won't be getting any help from the highest court in the land.
NFL Net gets dish on carriage (Reuters)
Reuters - The NFL Network has expanded its distribution in time for preseason football, reaching a deal with EchoStar Communications Corp. to expand carriage on the Dish Network to basic service.
Sony, Sandler "Click" at top (Reuters)
Reuters - Sony's "Click" controlled the box office in North America this past weekend with a $40 million debut and the top spot.
Broadway still singing as 2 more plays wrap (Reuters)
Reuters - This coming weekend, Broadway says adieu to "Doubt," which not only picked up a Pulitzer Prize and four Tony Awards during its 15-month-plus stay at the Walter Kerr but also chalked up 525 performances and 25 prevues.
Cosmos pic is a keeper for Messing (Reuters)
Reuters - Any one of a score of stories about the wacky world of the New York Cosmos soccer team in the 1970s could fill a movie theater with laughter and amazement.
Ferrell-McKay company opts for Paramount Vantage (Reuters)
Reuters - Will Ferrell and writer-director-actor Adam McKay have signed a two-year, first-look producing deal with Paramount Vantage, the specialty division of Paramount Pictures, to make low-budget, high-concept comedies in the $10 million-$20 million range.
Guba uploads deal with Warners (Reuters)
Reuters - Online multimedia site Guba is set to confirm a new service Tuesday (June 27) that will launch with movies and television shows from Warner Bros. Entertainment.
Reclaiming a Superman (E! Online)
E! Online - As Superman Returns star Brandon Routh is about to establish his place in Man of Steel lore, one Iowa town is working to reestablish another Superman's.
Potter's "Phoenix" Rising Next Summer (E! Online)
E! Online - Muggles are going to have to crane their necks to catch this Phoenix.
Warner Bros. sells films via Guba.com (AP)
AP - Warner Bros. began selling its movies and TV shows over the Internet video site Guba.com Monday, marking the second deal the studio has made to distribute content over Web sites that have offered pirated video in the past.
Sandler's 'Click' controls box office (AP)
AP - Adam Sandler pushed moviegoers' buttons with his remote-control fantasy "Click," which debuted as the No. 1 weekend flick with $40 million.
Superman star returns to Iowa (AP)
AP - Superman's parents say Brandon Routh is still the kind and earnest son they raised in Norwalk. That may be true, but things are changing for the star of "Superman Returns."
Turkish-born record producer Arif Mardin dies (Reuters)
Reuters - LOS ANGELES (Reuters)- Turkish-born record producer Arif Mardin, who helped shape hit recordings by the Bee Gees, Aretha Franklin, Willie Nelson and Bette Midler, among many others, has died at age 74, associates said.
Zappa's son leads fitting tribute to musical legacy (Reuters)
Reuters - Describing the music of Frank Zappa as "progressive" is much the same as calling Frank Zappa, the man, "eccentric": It might be a good place to start, but it doesn't come close to telling the story. The same can be said of the Zappa Does Zappa show that celebrated the cultural icon's life Friday night at the Wiltern LG in Los Angeles. As Zappa proved in life, sounds don't necessarily need to make sense, they just need to make music.
McGraw & Hill serve up crowd-pleasing night of hits (Reuters)
Reuters - Someone should really introduce Tim McGraw and Faith Hill to each other.
Locke tells "True Story" on sophomore album (Reuters)
Reuters - "Supawoman" will be the first single from former "American Idol" contestant Kimberley Locke's sophomore album, "Based on a True Story."
Mendes & Co. celebrate in mellow groove (Reuters)
Reuters - Sergio Mendes brought a little bit of Carnival, a taste of Las Vegas and the feel of an old '70s TV variety show to the Hollywood Bowl on Sunday night as the Brazilian music legend celebrated the 40th anniversary of his Brasil '66 combo with a little help from his friends.
Reunited Plimsouls in fine, high-energy form (Reuters)
Reuters - This was not a show for the kids, though some joined their rock elders from the Los Angeles music scene of the early 1980s at the El Rey Theater on Friday for a hearty set by the reunited Plimsouls. The brisk, charged-up, 75-minute set surely left the old folks feeling decades younger.
Bush honors nation's black musicians (AP)
AP - President Bush honored the nation's black musicians on Monday at a White House "Black Music Month" ceremony that featured performances from blues master B.B. King, singer Patti Austin and trumpeter Irvin Mayfield.
Jay-Z plans international tour (AP)
AP - As a white-tuxed Jay-Z stood on stage at Radio City Music Hall, celebrating the 10th anniversary of his debut album "Reasonable Doubt" and planning a world tour, it seemed as if a wide chasm separated the hungry rapper who made that dazzling debut and the mogul on the mic.
Active Server Pages ASP programs help tutorial tutorials routine routines jobs listserve mailinglist bulletin board bulletin boards programming snippet snippets CJWSoft ASPProtect ASPBanner ASPClassifieds www.aspclassifieds.com, www.powerasp.com,www.cjwsoft.com,www.aspphotogallery.com,www.codewanker.com,www.aspprotect.com,www.aspbanner.com


I was photographing Dova on the swing using wide angle, which makes her feet look huge!
Woah! That was way too close, she almost kicked my camera!
*No cameras were harmed in the production of this Silly Monkey Story.


text:
namespace NotificationHub.Sample.API.Models.Dashboard
{
    public class DeviceTrend
    {
        public string DeviceType { get; set; }
        public int RegistrationCount { get; set; }
    }
}

redpajama_set_name: RedPajamaGithub


text:
\section{Introduction}\label{sec1}
Differential equations and their solutions play a major role in science and engineering. A physical event can be modeled by the differential equation, an integral equation or an integro-differential equation or a system of these equations. Since few of these equations cannot be solved explicitly, it is often necessary to resort to the numerical techniques which are appropriate combinations of numerical integration and interpolation. The solution of this equation occurring in physics, biology and engineering are based on numerical methods. One of the powerful method for solving the ordinary differential equations, integral and integro-differential equations are spectral methods in both terms of accuracy and simplicity. Spectral methods, in the context of numerical schemes for differential equations, generically belong to the family of weighted residual methods (WRMs) \cite{refIntroduction01}. WRMs represent a particular group of approximation techniques, in which the residuals (or errors) are minimized in a certain way and thereby leading to specific methods, including Galerkin, Petrov-Galerkin, collocation and Tau formulations \cite{refIntroduction02,refIntroduction03,refIntroduction04,refIntroduction05}. The basis of spectral method is always polynomials (orthogonal polynomials). These types of basis for approximation of enough smooth functions in the finite domain leads to the exponential convergence.\\\
In Tau method, the operational matrices of derivative, integral and product of basis functions are obtained  and then these matrices together to reduce the solution of these problems to the solution of a system of algebraic equations. Tau method is based on expanding the required approximate solution as the elements of a complete set of basis functions. Polynomial series and orthogonal functions have received considerable attention in dealing with various problems of differential, integral and integro-differential equations. Polynomials are incredibly useful mathematical tools as they are simply defined and can be calculated quickly on computer systems and represent a tremendous variety of functions. They can be differentiated and integrated easily, and can be pieced together to form spline curves that can approximate any function to any accuracy desired. Also, the main characteristic of this technique is that it reduces these problems to those of solving a system of algebraic equations, thus greatly simplifies the problems.\\
In recent years, the differential, integral and integro-differential equations have been solved using the homotopy perturbation method \cite{refIntroduction12,refIntroduction13}, the fractional order of rational Bessel functions collocation (FRBC) method \cite{Parand.Ghaderi.Electonical}, the radial basis functions method \cite{refIntroduction14}, the collocation method \cite{refIntroduction15}, the Homotopy analysis method \cite{refIntroduction16,refIntroduction17}, the Tau method \cite{refIntroduction18,refIntroduction19}, the Variational iteration method  \cite{refIntroduction20,refIntroduction21}, the Legendre matrix method \cite{refIntroduction10,refIntroduction22}, the Haar Wavelets operational matrix \cite{refIntroduction23}, the Shifted Chebyshev direct method \cite{refIntroduction24}, the generalized fractional order of the Chebyshev collocation approach \cite{refIntroduction42}, the Legendre Wavelets operational matrix \cite{refIntroduction25}, Sine-Cosine Wavelets operational matrix \cite{refIntroduction26}, the operational matrices of Bernstein polynomials \cite{refIntroduction27}. Razzaghi et al. in \cite{refIntroduction28,refIntroduction29,refIntroduction30} presented the integral and product operational matrices based on the Fourier, the Taylor and the shifted-Jacobi series. Parand et al. in \cite{refIntroduction30_1,refIntroduction30_2,Parand.Ghaderi.European,Parand.Ghaderi.SeMA} applied the spectral method to solve nonlinear ordinary differential equations on semi-infinite intervals. Their approach was based on a rational Tau method. They obtained the operational matrices of derivative and product of rational Chebyshev and Legendre functions and then applied these matrices together with the Tau method to reduce the solution of these problems to the solution of a system of algebraic equations. Doha \cite{refIntroduction31} has derived the shifted Jacobi operational matrix of fractional derivatives which is applied together with the spectral Tau method for the numerical solution of dynamical systems.Yousefi et al. in \cite{refIntroduction32,refIntroduction33,refIntroduction34,refIntroduction35} have presented Legendre wavelets and Bernstein operational matrices and used them to solve miscellaneous systems. Also, recently, in \cite{refIntroduction36} a new shifted-Chebyshev operational matrix of fractional integration of arbitrary order is introduced and applied together with the spectral Tau method for solving linear fractional differential equations (FDEs). In \cite{refIntroduction37,refIntroduction38} the operational matrix form in a Hybrid of block-pulse functions and another set of functions like Taylor series, Legendre and Chebyshev has been used for finding the solution of the various classes of dynamical systems. Lakestani \cite{refIntroduction39} constructed the operational matrix of fractional derivative of order $\alpha$ in the Caputo sense using the linear B-spline functions. In \cite{refIntroduction40}, a general formulation for the d dimensional orthogonal functions and their derivative and product matrices has been presented. Ordinary operational matrices have been utilized together with the Tau method to reduce the solution of partial differential equations (PDEs) to the solution of a system of algebraic equations. Recently in \cite{refIntroduction41}, a class of two dimensional nonlinear Volterra's integral equations has been solved using operational matrices of Legendre polynomials. The operational matrices of integration and product together with the collocation points have been utilized to reduce the solution of the integral equation to the solution of a nonlinear algebraic equation system.

The remainder of the paper is organized as follows: In section \ref{sec2}, the function approximation and convergence of the method by using Bessel polynomials  are illustrated . In sections  \ref{sec3}, the general procedure for formulation of operational matrices of integration, differentiation, and product are explained  and are proved. In section \ref{sec4}, our numerical findings and demonstrate the validity, accuracy and applicability of the operational matrices by considering numerical examples  are reported. Also a conclusion is given in the last section.

\section{Bessel Polynomials}\label{sec2} The Bessel functions arise in many problems in physics possessing cylindrical symmetry, such as the vibrations of circular drumheads and the radial modes in optical fibers. Bessel functions are usually defined as a particular solution of a linear differential equation of the second order which known as Bessel's equation.

Bessel differential equation of order $n\in\mathbb{R}$ is:
\begin{eqnarray}\label{equation01}
x^2\frac{d^2y(x)}{dx^2}+x\frac{dy(x)}{dx}+(x^2-n^2) y(x)=0,~~x\in(-\infty,\infty).
\end{eqnarray}

One of the solutions of Eq. (\ref{equation01}) by applying the method of Frobenius is as follows \cite{refBesselPol03}:
\begin{eqnarray}\label{equation02}
J_{n}(x)=\sum_{r=0}^{ \infty}\frac{(-1)^r}{r!(n+r)!}(\frac{x}{2})^{2r+n},
\end{eqnarray}
where series (\ref{equation02})  is convergent for all $x\in(-\infty,\infty)$.

Bessel functions and polynomials are used to solve the more number of problems in physics, engineering, mathematics, and etc., such as Blasius equation, Lane-Emden equations, integro-differential equations of the fractional order, unsteady gas equation, systems of linear Volterra integral equations, high-order linear complex differential equations in circular domains, systems of high-order linear Fredholm integro-differential equations, nolinear Thomas-Fermi on semi-infinite domain, etc. \cite{refBesselPol04,refBesselPol05,refBesselPol09,refBesselPol10,refBesselPol11,refBesselPol12,refBesselPol13,refBesselPol14,refBesselPol15,refBesselPol16,Parand.Ghaderi.Electonical}.

Bessel polynomials has been introduced as follows \cite{refBesselPol12}:
\begin{eqnarray}
\nonumber B_{n}(x)=\sum_{r=0}^{[\frac{N-n}{2}]}\frac{(-1)^r}{r!(n+r)!}(\frac{x}{2})^{2r+n},~~x\in[0,1].
\end{eqnarray}
where $n\in\mathbb{N}$, and $N$ is the number of basis of Bessel polynomials.\\
Now, We introduce new shifted Bessel equation in the interval $[a,b]$ by:
\begin{eqnarray}
\nonumber Q_{n}(x)=B_n(\frac{x-a}{b-a}),~~x\in[a,b],~~n=0, 1, 2, ..., N.
\end{eqnarray}
where $a, b \in \mathbb{R}$.

\subsection{Approximation of functions}
Let us define $\Gamma=\{x|~a\leq x \leq b \}$ and \\
$L^{2}_{w}(\Gamma)=\{~v :\Gamma \rightarrow \mathbb{R}| v$ is measurable and $\parallel v \parallel_{w} < \infty \}$, where
$$\parallel v \parallel_{w}=\left(\int^{b}_{a}|v(x)|^{2}w(x)dx\right)^{1/2},$$
with $w(x)=\frac{1}{b-a}$, is the norm induced by inner product of the space $L^{2}_{w}(\Gamma)$ as follows:
$$\langle v,u\rangle_{w}=\int^{b}_{a}{v(x)u(x)w(x)}dx.$$

Now, suppose that\\
$$\mathfrak{Q}_N=~span\{Q_{0}(x), Q_{1}(x),\dots, Q_{N}(x)\},$$
where $\mathfrak{Q}_N$ is a finite-dimensional subspace of $L^{2}_{w}(\Gamma)$, dim ($\mathfrak{Q}_N) = N+1$, so $\mathfrak{Q}_N$ is a closed subspace of $L_{w}^{2}(\Gamma)$. Therefore, $\mathfrak{Q}_N$ is a complete subspace of $L_{w}^{2}(\Gamma)$. Assume that $f(x)$ be an arbitrary element in $L_{w}^{2}(\Gamma)$. Thus $f(x)$ has a unique best approximation in $\mathfrak{Q}_N$ subspace, say $\hat{b}\in \mathfrak{Q}_N$, that is
\begin{eqnarray}
\nonumber\exists~ \hat{b(x)}\in\mathfrak{Q}_N, ~~~ \forall ~b(x)\in \mathfrak{Q}_N,~~\parallel f(x)-\hat{b(x)}\parallel_{w} \leq \parallel f(x)-b(x)\parallel_{w}.
\end{eqnarray}
Notice that we can write $b(x)$ function as a linear combination of the basis vectors of $\mathfrak{Q}_N$ subspace.

We know function of $f(x)$  can be expanded by $N+1$ terms of Bessel polynomials as:
\begin{eqnarray}
f(x)=f_{N}(x)+R(x),
\nonumber\end{eqnarray}
that is
\begin{equation}\label{equation03}
f_{N}=\sum^{N}_{n=0}{a_{n}Q_{n}(x)}=A^{T}Q(x),
\end{equation}
where $Q(x)=[Q_{0}(x), Q_{1}(x),\cdots, Q_{N}(x)]^{T}$ and $R(x)\in\mathfrak{Q}^{\perp}_N$ that ${\mathfrak Q}^{\perp}_N$ is the orthogonal complement. So  $f(x)-f_{N}(x)\in\mathfrak{Q}_N^{\perp}$ and $b(x)\in\mathfrak{Q}_N$ are orthogonal which we denote it by:
\begin{eqnarray}
\nonumber \big(f(x)-f_{N}(x)\big)\perp b(x),
\end{eqnarray}
thus $f(x)-f_{N}(x)$ vector is orthogonal over all of basis vectors of $\mathfrak{Q}_N$ subspace as:
\begin{eqnarray}
\nonumber \langle f(x)-f_{N}(x),Q_{i}(x)\rangle_{w}=\langle f(x)-A^{T}Q(x),Q_{i}(x)\rangle_{w}=0,~i=0, 1,\cdots, N,
\end{eqnarray}
hence
\begin{eqnarray}
&&\nonumber\langle f(x)-A^{T}Q(x),Q^{T}(x)\rangle_{w}=0,
\end{eqnarray}
therefore A can be obtained by
\begin{eqnarray}
&&\nonumber\langle f(x),Q^{T}(x)\rangle_{w}=\langle A^{T}Q(x),Q^{T}(x)\rangle_{w},\\
\nonumber\\
\nonumber &&A^{T}=\langle f(x),Q^{T}(x)\rangle_{w}\langle Q(x),Q^{T}(x)\rangle_{w}^{-1},
\end{eqnarray}
where
\begin{eqnarray}\label{equation04}
&& K=\langle Q(x),Q^{T}(x)\rangle_{w}=\int_{a}^{b}{Q(x)Q(x)^{T}}w(x)dx,
\end{eqnarray}
is an $(N +1)×(N +1)$ matrix and is said dual matrix of $Q(x)$.
\subsection{Convergence of the method}
The following theorem shows that by increasing $N$, the approximation solution $f_N(x)$  is convergent to $f(x)$ exponentially.\\\\
\textbf{Theorem 1.} (\textit{Taylor's formula}) Suppose that $f(x) \in C[0,b]$ and $D^{k}f(x) \in C[0,b]$, where $k=0,1,...,N$. Then we have
\begin{equation}\label{eqn3}
f(x) = \sum_{i=0}^{N} \frac{x^{i}}{i!}D^{i}f(0^+)+\frac{x^{N+1}}{(N+1)!}D^{N+1}f(\xi),
\end{equation}
with $0\leqslant\xi \leqslant x,~ \forall x\in [0,b]$. And thus
\begin{equation}\label{eqn4}
| f(x) - \sum_{i=0}^{N} \frac{x^{i}}{i!}D^{i}f(0^+) | \leqslant M \frac{x^{N+1}}{(N+1)!},
\end{equation}
where $M \geqslant |D^{N+1}f(\xi)|$.\\
\textbf{Proof:} See Ref. \cite{Odibat.Momani}.

\textbf{Theorem 2}
Suppose that $D^{k}f(x)\in C[0,b]$ for $k=0,1,...,N,$ and $\mathfrak{Q}_{N}$ is the subspace generated by $\{Q_0(x),~Q_1(x),...,~Q_{N}(x)\}$. If $f_N(x)=F^TQ(x)$ is the best approximation to $f$ from $\mathfrak{Q}_{N}$ , then the error bound is presented as follows
\begin{eqnarray}\label{equation05}
\parallel f(x)-f_N(x)\parallel_w \leqslant \frac{M}{(N+1)!}\big (\frac{b^{2N+2}}{(2N+3)}\big)^{\frac{1}{2}},
\end{eqnarray}where $M \geqslant|D^{N+1}f(x)|, ~~x\in [0,b].$\\
\textbf{Proof.} By theorem 1, we have $y(x)= \sum_{i=0}^{N} \frac{x^{i}}{i!}D^{i}f(0^+)$ and
$$| f(x)-y(x) | \leqslant M \frac{x^{N+1}}{N+1!}.$$
Since the best approximation to $f(x)$ from $\mathfrak{Q}_N$ is $F^TQ(x)$, and $y(x)\in  \mathfrak{Q}_N$, thus
\begin{eqnarray}
\parallel f(x)-f_N(x)\parallel_w^2 \leqslant \parallel f(x)-y(x)\parallel_w^2 \leqslant \frac{M^2}{(N+1)!^2}\int_0^bx^{2N+2}~w(x)~dx, \nonumber
\end{eqnarray}
where the weight function is $w(x)=\frac{1}{b}$, thus by integration of above equation, Eq. (\ref{equation05}) can be proved $\blacksquare$.

\section{Operational matrices}\label{sec3}
Now, we can show $Q(x)$ as metrix product of $\textbf{Y}$ and $X_{s}(x)$ as follows:
\begin{eqnarray}\label{equation06}
Q(x)=\textbf{Y}X_{s}(x),
\end{eqnarray}
where $Q(x)=[Q_0(x),Q_1(x),...,Q_{N}(x)]^T$ and $X_s(x)=[1,\big(\frac{x-a}{b-a}\big),\big(\frac{x-a}{b-a}\big)^2,...,\big(\frac{x-a}{x-b}\big)^N]^T$.

There are two different forms for $\textbf{Y}$. If $N$ is odd \cite{refBesselPol10,refBesselPol11,refBesselPol12,refBesselPol13,refBesselPol14,refBesselPol15}:

\textbf{Y}=$ \left[ \begin{array}{cccccc}
\frac{1}{0!0!2^0} &0                             & \frac{-1}{1!1!2^2}& \cdots & \frac{(-1)^{\frac{N-1}{2}}}{(\frac{N-1}{2})!(\frac{N-1}{2})!2^{N-1}} &0\\
0                             & \frac{1}{0!1!2^1}&0                              & \cdots & 0                                                                                & \frac{(-1)^{\frac{N-1}{2}}}{(\frac{N-1}{2})!(\frac{N+1}{2})!2^{N}} \\
0                             &0                             & \frac{1}{0!2!2^2} & \cdots &  \frac{(-1)^{\frac{N-3}{2}}}{(\frac{N-3}{2})!(\frac{N+1}{2})!2^{N-1}}&0\\
\vdots                     &\vdots                    &\vdots                     & \cdots & \vdots                                                                                & \vdots\\ \\
0                             &0                            &0                              & \cdots &\frac{1}{ 0!(N-1)!2^{N-1}}                                                                           &0 \\
0                             &0                            &0                              & \cdots & 0                                                                                & \frac{1}{0!N!2^{N}}
\end{array} \right]$

And if $N$ is even:

\textbf{Y}=$ \left[ \begin{array}{cccccc}
\frac{1}{0!0!2^0} &0                             & \frac{-1}{1!1!2^2}& \cdots &0											   & \frac{(-1)^{\frac{N}{2}}}{(\frac{N}{2})!(\frac{N}{2})!2^{N}} \\
0                             & \frac{1}{0!1!2^1}&0                              & \cdots & \frac{(-1)^{\frac{N-2}{2}}}{(\frac{N-2}{2})!(\frac{N}{2})!2^{N-1}} & 0                                                                                \\
0                             &0                             & \frac{1}{0!2!2^2} & \cdots & 0 										    & \frac{(-1)^{\frac{N-2}{2}}}{(\frac{N-2}{2})!(\frac{N+2}{2})!2^{N}}\\
\vdots                     &\vdots                    &\vdots                     & \cdots & \vdots 										    & \vdots \\
0                             &0                            &0                              & \cdots &\frac{1}{ 0!(N-1)!2^{N-1}} 							    &0	 \\
0                             &0                            &0                              & \cdots & 0										    &\frac{1}{0!N!2^{N}}\\
\end{array} \right]$

In this step, $X_s(x)$ as metrix product of $\textbf{S}$ and $X(x)$  are expaned as follows:
\begin{eqnarray}\label{equation06}
X_s(x)=\textbf{S}X(x),
\end{eqnarray}
which $X(x)=[1,x,...,x^N]^T$ and
\begin{eqnarray*}
\textbf{S}=\begin{bmatrix}
1&0&0&\cdots&0\cr
-\frac{a}{b-a}&\frac{1}{b-a}&0&\cdots&0\cr
\frac{a^2}{(b-a)^2}&-\frac{2a}{(b-a)^2}&\frac{1}{(b-a)^2}&\cdots&0\cr
\vdots&\vdots&\vdots&\vdots&\vdots\cr
\frac{\dbinom{N}{0}}{\big(b-a\big)^N\big(-a\big)^{-N}}&\frac{\dbinom{N}{1}}{\big(b-a\big)^N\big(-a\big)^{-N+1}}&\frac{\dbinom{N}{2}}{\big(b-a\big)^N\big(-a\big)^{-N+2}}&\cdots&\frac{1}{\big(b-a\big)^N}\cr
\end{bmatrix}
\end{eqnarray*}
Therfore, $Q(x)$ will be rewritten as follows:
\begin{eqnarray}\label{equation06}
Q(x)=\textbf{M}X(x),
\end{eqnarray}
where $\textbf{M}=\textbf{Y} \textbf{S}$.\\
We know a triangular matrix is invertible if and only if all its diagonal entries are nonzero, and  the product of two invertible matrices also invertible, so
\begin{eqnarray}\label{equation07}
X(x)=\textbf{M}^{-1}Q(x).
\end{eqnarray}
This shows that we can represent  $X(x)$ as metrix product of $\textbf{M}^{-1}$ and $Q(x)$.
\subsection{The operational matrix of derivative}
Let start this section by introducing the operational matrix of derivative of $X(x)$ vector as follows:
\begin{eqnarray}\label{equation08}
\frac{d}{dx}X(x)=P~X(x),
\end{eqnarray}
where
\[ P_{i,j}= \left\{
\begin{array}{ll}
      i,& i-j=1\\
      0,& otherwise\\
\end{array} ~~for~i,j=0, 1,...,N~,
\right. \]
The matrix $\textbf{D}$ is named as the (N + 1)$\times$(N + 1) operational matrix of derivative if and only if
\begin{eqnarray} \label{equation09}
\frac{d}{dx}Q(x)=\textbf{D}~Q(x).
\end{eqnarray}
\textbf{Lemma 1.} Suppose that   $\textbf{M}$, $\textbf{M}^{-1}$ and $\textbf{D}$ are (N + 1)$\times$(N + 1) matrices which satisfy respectively  Eqs. (\ref{equation06}), (\ref{equation07}) and (\ref{equation09}). Then
\begin{eqnarray}\label{equation10}
\textbf{D}=\textbf{M}P\textbf{M}^{-1}.
\end{eqnarray}
\textbf{Proof:} By using expansion of $\frac{d}{dx}Q(x)$, we have
\begin{eqnarray}
\nonumber&&\frac{d}{dx}Q(x)=\frac{d}{dx}\textbf{M}X(x)=\textbf{M}\frac{d}{dx}X(x)=\textbf{M}PX(x)=\textbf{M}P\textbf{M}^{-1}Q(x)\\
\nonumber &&\Rightarrow \textbf{D}=\textbf{M}P\textbf{M}^{-1}~  \blacksquare.
\end{eqnarray}
\textbf{Remark:}
If $\textbf{D}$ be a first order operational matrix of drivative of $Q(x)$ then $k$th order operational matrix of drivative of $Q(x)$ is as follows:
\begin{eqnarray}\label{equation11}
\frac{d^k}{dx^k}Q(x)=\textbf{D}^kQ(x).
\end{eqnarray}
\subsection{Operational matrix of integral}
The integral operational matrix for basis vector $X(x)$ operates as:
\begin{eqnarray}\label{equation12}
\int_{a}^{x}X(t)dt\simeq LX(x),
\end{eqnarray}
where
\[ L_{i,j}= \left\{
\begin{array}{lll}
      \frac{1}{i+1}&j-i=1~and~i\neq N\\
      -\frac{a^{i+1}}{i+1}&j=0~and~i\neq N\\
     r_{j}&i=N\\
      0&otherwise\\
\end{array}~~for~i,j=0, 1,...,N~,
\right. \]
where $\nonumber R=[r_0,r_1,...,r_{m}]^T$.

 We just need to approximate $\int_{a}^{x}t^{N}dt=\frac{x^{N+1}}{N+1}-\frac{a^{N+1}}{N+1}$.

According to the relation (\ref{equation03}), we have
\begin{eqnarray}\label{equation13}
\frac{x^{N+1}}{N+1}-\frac{a^{N+1}}{N+1}\simeq \sum_{n=0}^{N} a_n ~Q_n(x)=R^TQ(x),
\end{eqnarray}
thus
\begin{eqnarray}
R^T \simeq  \langle \frac{x^{N+1}}{N+1},Q^T(x) \rangle _w ~ \langle Q(x),Q^T(x) \rangle _w^{-1},~~for~w(x)=\frac{1}{b-a}. \nonumber
\end{eqnarray}

The matrix $I$ is named as the (N + 1)$\times$(N + 1) operational matrix of the derivative of the vector Q(x) if and only if
\begin{eqnarray} \label{equation14}
\int_{0}^{x}Q(t)dt\simeq \textbf{I}Q(x).
\end{eqnarray}
\textbf{Lemma 2.} Suppose that   $\textbf{M}$, $\textbf{M}^{-1}$ and $L$ are  the (N + 1)$\times$(N + 1) matrices which satisfy respectively  Eqs (\ref{equation06}), (\ref{equation07}) and (\ref{equation14}), then
\begin{eqnarray}\label{equation15}
\textbf{I}=\textbf{M}L\textbf{M}^{-1}.
\end{eqnarray}
\textbf{Proof:} By using expansion of $\int_{a}^{x}Q(t)dt,$ we have
\begin{eqnarray}
\nonumber&&\int_{0}^{x}Q(t)dt=\int_{0}^{x}\textbf{M}X(t)dt=\textbf{M}\int_{0}^{x}X(t)dt\simeq \textbf{M}LX(x)=\textbf{M}L\textbf{M}^{-1}Q(x) \\
\nonumber &&\Rightarrow \textbf{I}=\textbf{M}L\textbf{M}^{-1}~ \blacksquare.
\end{eqnarray}

\subsection{The operational matrix of product}
The following property of the product of two $X(x)$ vectors will also be applied as follows:
\begin{eqnarray} \label{equation16}
X(x)X(x)^TV\simeq \widetilde{V}X(x)^T,
\end{eqnarray}
where $V = [v_{0}, v_{1}, ..., v_{N}]$. According to the relation (\ref{equation03}), we have
\begin{eqnarray}
\widetilde{V} \simeq  \langle X(x),X^T(x) \rangle _w ~ \langle X(x),X^T(x) \rangle _w^{-1},~~for~w=\frac{1}{b-a}. \nonumber
\end{eqnarray}
The matrix $\widetilde{\textbf{C}}$ is named as (N + 1)$\times$(N + 1) operational matrix of product of Q(x) if and only if
\begin{eqnarray}
\nonumber Q(x)Q(x)^TC\simeq \widetilde{\textbf{C}}Q(x)^T,
\end{eqnarray}
where $C = [c_{0}, c_{1}, ..., c_{N}]$.

\textbf{Lemma 3.} Suppose that   $\textbf{M}$, $\textbf{M}^{-1}$ and $\widetilde{V}$ are (N + 1)$\times$(N + 1) matrices which satisfy respectively  Eqs. (\ref{equation06}), (\ref{equation07}) and (\ref{equation16}). Then
\begin{eqnarray}\label{equation17}
\widetilde{\textbf{C}}=\textbf{M}\widetilde{V}\textbf{M}^{-1}.
\end{eqnarray}
\textbf{Proof:} Assume that $V=\textbf{M}^{T}C$ so by using expansion of $ Q(x)Q(x)^TC,$ we have
\begin{eqnarray}
\nonumber&& Q(x)Q(x)^TC=\textbf{M}X(x)\textbf{M}X(x)C=\textbf{M}X(x)X(x)^{T}\textbf{M}^{T}C\\
\nonumber&&~~~~~~~~~~~~~~~~~=\textbf{M}X(x)X(x)V\simeq \textbf{M}\widetilde{V}X(x)=\textbf{M}\widetilde{V}\textbf{M}^{-1}Q(x) \\
\nonumber &&\Rightarrow \widetilde{\textbf{C}}=\textbf{M}\widetilde{V}\textbf{M}^{-1}~ \blacksquare.
\end{eqnarray}

\section{Illustrative examples}\label{sec4}
In the present paper, to illustrate the effectiveness of Tau method, several test examples are carried out. A comparison of our results with those obtained by other methods reveals that our methods are very effective and convenient.
Now we will demonstrate the use of the SBT method in several engineering problems.\\\\
\textbf{Example 1: }
We consider the governing equation for unsteady two-dimensional flow and heat transfer of a viscous fluid \cite{refExapmle01} which the equation is convertible to the following system of the nonlinear equations:
\begin{eqnarray}
&&f'''' -S\left(x f''' +3f'' -2f f''  \right) -G^2f''=0,\label{equation18}\\
&&\theta'' +S~Pr\left(2 f \theta' -x \theta'  \right) +Pr~Ec (f''^2  +12\delta^2 f'^2  )=0, \label{equation19}
\end{eqnarray}
with the boundary conditions
\begin{eqnarray}\label{equation20}
&&f(0)=A,~~~f'(0)=0,~~~\theta(0)=1,\nonumber \\
&&f(1)=\frac{1}{2},~~~f'(1)=0,~~~\theta(1)=0.
\end{eqnarray}
To solve this example, we approximate $f(x)$ and $\theta(x)$  functions by $N+1$ basis of the shifted Bessel polynomials on the interval $[0,1]$ as bellow:
\begin{eqnarray}
&&f(x)\simeq \sum_{i=0}^{N} {a_{i}Q_{i}(x)}=F^{T}Q(x),\label{equation21}\\
&&\theta(x)\simeq \sum_{i=0}^{N} {c_{i}Q_{i}(x)}=C^{T}Q(x),\label{equation22}
\end{eqnarray}
where $F=[a_0,a_1,...,a_{N}]^T$ and $C=[c_0,c_1,...,c_{N}]^T$.

By using Eqs. (\ref{equation09}) and (\ref{equation16}) we have:
\begin{eqnarray}
\nonumber&&f^{(j)}(x)=F^{T}\textbf{D}^{j}Q(x),\\
\nonumber&&x f^{(j)}= (U^{T}Q(x))(F^{T}\textbf{D}^{j}Q(x))=U^{T}Q(x)Q(x)^{T}\underbrace{(F^{T}\textbf{D}^{j})^{T}}_\text{Z}\simeq U^{T}\tilde{Z}Q(x)\\
\nonumber&&ff''(x)= F^{T}BF^{T}\textbf{D}^{2}J(X)= F^{T}Q(x)Q(x)^{T}(x) \underbrace{(\textbf{D}^{2})^{T}F}_\text{O}\simeq F^{T}\tilde{O}Q(x),\\
\nonumber&&f'^{2}(x)= (F^{T}\textbf{D}Q(x))^{2}=F^{T}\textbf{D}Q(x)Q(x)^{T}\underbrace{D^{T}F}_\text{W}\simeq F^{T}\textbf{D}\tilde{W}Q(x),\\
\nonumber&&f''^{2}(x)= (F^{T}\textbf{D}^{2}Q(x))^{2}=F^{T}\textbf{D}^{2}Q(x)Q(x)^{T}(x)\underbrace{(\textbf{D}^2)^{T}F}_\text{E}\simeq F^{T}\textbf{D}^{2}\tilde{E}Q(x),\\
\nonumber&&\theta^{(j)}(x)= C^{T}\textbf{D}^{j}Q(x),\\
\nonumber&&x\theta'(x)= (U^{T}Q(x))(C^{T}\textbf{D}Q(x))=U^{T}Q(x)Q(x)^{T}(x)\underbrace{\textbf{D}^{T}C}_\text{V}\simeq U^{T}\tilde{V}Q(x),\\
\nonumber&&f\theta'=F^{T}Q(x)C^{T}\textbf{D}Q(x)=F^{T}x^{T}\underbrace{\textbf{D}^{T}C}_\text{H}\simeq F^{T}\tilde{H}Q(x),
\end{eqnarray}
where $Q(x)Q(x)^{T}Z\simeq \tilde{Z}Q(x)$, $Q(x)Q(x)^{T}O\simeq \tilde{O}Q(x)$, $Q(x)Q(x)^{T}E\simeq \tilde{E}Q(x)$, $Q(x)Q(x)^{T}V\simeq \tilde{V}Q(x), Q(x)Q(x)^{T}H\simeq \tilde{H}Q(x)$, and  $\textbf{D}^{j}$ is the $jth$ power of the matrix $\textbf{D}$ and we also have:
\begin{eqnarray}
\nonumber x=X(x)^{T}u=Q(x)^{T}\underbrace{(\textbf{M}^{-1})^{T}u}_\text{U}=Q(x)^{T}U,
\end{eqnarray}
where $u=[0,1,0,0,...,0]^{T}$. Therefore, Eqs. (\ref{equation18}) and (\ref{equation19})  can be rewritten as:
\begin{small}
\begin{eqnarray}
&& F^{T}\textbf{D}^{4}Q(x)-S\Big(U^{T}\tilde{Z}Q(x)+3F^{T}\textbf{D}^{2}Q(x)-2F^{T}\tilde{O}Q(x)\Big)-G^{2}F^{T}\textbf{D}^{2}Q(x)=0,\label{equation23}\\
\nonumber&& C^{T}\textbf{D}^{j}Q(x) +S~Pr\Big(2F^{T}\tilde{H}Q(x)-U^{T}\tilde{V}Q(x)\Big)-Pr~Ec\Big(F^{T}\textbf{D}^{2}\tilde{E}Q(x) +12\delta^2F^{T}\textbf{D}\tilde{W}Q(x) \Big)=0,\\
&&\label{equation24}
\end{eqnarray}
\end{small}
Now, by using Tau method \cite{refExapmle02} and Eq. (\ref{equation04}), we have:
\begin{eqnarray}
\nonumber&&\int_{0}^{1}  \bigg(F^{T}\textbf{D}^{4}-S\Big(U^{T}\tilde{Z}+3F^{T}\textbf{D}^{2}-2F^{T}\tilde{O}\Big)-G^{2}F^{T}\textbf{D}^{2}\bigg)Q(x)Q(x)^{T}{dx}\\
\nonumber&&= \bigg(F^{T}\textbf{D}^{4}-S\Big(U^{T}\tilde{Z}+3F^{T}\textbf{D}^{2}-2F^{T}\tilde{O}\Big)-G^{2}F^{T}\textbf{D}^{2}\bigg)\int_{0}^{1} Q(x)Q(x)^{T}{dx}\\
&&= \bigg(F^{T}\textbf{D}^{4}-S\Big(U^{T}\tilde{Z}+3F^{T}\textbf{D}^{2}-2F^{T}\tilde{O}\Big)-G^{2}F^{T}\textbf{D}^{2}\bigg)K=0,\label{equation25}\\
\nonumber&&\int_{0}^{1}  \bigg(C^{T}\textbf{D}^{j} +S~Pr\Big(2F^{T}\tilde{H}-U^{T}\tilde{V}\Big)-Pr~Ec\Big(F^{T}\textbf{D}^{2}\tilde{E} +12\delta^2F^{T}\textbf{D}\tilde{W} \Big)\bigg)Q(x)Q(x)^{T}{dx}\\
&&=\bigg(C^{T}\textbf{D}^{j} +S~Pr\Big(2F^{T}\tilde{H}-U^{T}\tilde{V}\Big)-Pr~Ec\Big(F^{T}\textbf{D}^{2}\tilde{E} +12\delta^2F^{T}\textbf{D}\tilde{W} \Big)\bigg)K=0.\label{equation26}
\end{eqnarray}
Since $K$ is an invertible matrix, thus one has:
\begin{eqnarray}
&&F^{T}\textbf{D}^{4}-S\Big(U^{T}\tilde{Z}+3F^{T}\textbf{D}^{2}-2F^{T}\tilde{O}\Big)-G^{2}F^{T}\textbf{D}^{2}=0,\label{equation27}\\
&&C^{T}\textbf{D}^{j} +S~Pr\Big(2F^{T}\tilde{H}-U^{T}\tilde{V}\Big)-Pr~Ec\Big(F^{T}\textbf{D}^{2}\tilde{E} +12\delta^2F^{T}\textbf{D}\tilde{W} \Big)=0,\label{equation28}
\end{eqnarray}
 In this method, to satisfy the boundary conditions Eq. (\ref{equation20}), we have substituted the four following equations in four rows of Eq. (\ref{equation27}):
\begin{eqnarray}
&&\nonumber f(0)=F^{T}Q(0)=A,~~~f'(0)=F^{T}\textbf{D}Q(0)=0, \label{equation29} \\
\nonumber&&f(1)=F^{T}Q(1)=\frac{1}{2},~~~f'(1)=F^{T}\textbf{D}Q(1)=0,
\end{eqnarray}
and we have also substituted two following  equations in two rows of Eq. (\ref{equation28}):
\begin{eqnarray}
&&\nonumber\theta(0)=C^{T}Q(0)=1,\label{equation30} \\
\nonumber&&\theta(1)=C^{T}\textbf{D}Q(1)=0,
\end{eqnarray}
 Finally, we generate $2N + 2$ algebraic equations, therefore by solving above  equations the unknown vectors $F$ and $C$ are achieved.\\
Effects of deformation parameter S and porosity parameter A are displayed in Figs. (\ref{FSection}) and (\ref{FInjection}).\\
Fig. (\ref{ThetaSuction}) shows the influences of flow parameters (in suction case) on the temperature profile.
Fig. (\ref{ThetaInjection}) shows the influences of physical parameters on velocity and temperature distributions in the case of injection.\\
Fig.(\ref{ResSuction}) shows residual error by the SBT method with $N=15$  on $f'(x)$ and $\theta(x)$ for the suction cases.\\
Tables (1) and  (2) show a comparison between the given values $f'(x)$ and $\theta(x)$ by the variational iteration method (VIM)\cite{refExapmle01} and the SBT methods with $N=15$ for $A=0.1, S=0.1, M=0.2, Pr=0.3, Ec=0.2$ and $\delta=0.1$. It is evident from the table that the present method is efficiency and accuracy of VIM method. Table 3 displays the numerical values of Nusselt number of different values of flow parameters.\\\\
\textbf{Example 2: }
In this example, we consider the following Lane-Emden type equation on the interval $[0,3]$  as follows \cite{refBesselPol13}:
\begin{eqnarray}\label{equation31}
y''(x)+\frac{2}{x}y'(x)-2(2x^2+3)y(x)=0,~~~~0\leqslant x\leqslant3,
\end{eqnarray}
with the initial conditions
\begin{eqnarray}\label{equation32}
y(0)=1,~~~~~y'(0)=0,
\end{eqnarray}
The exact solution of this problem is
\begin{eqnarray}\label{equation33}
y(x)=e^{x^{2}}.
\end{eqnarray}
To solve this example, we approximate $y''(x)$  functions by $N+1$ basis of the Bessel polynomials on the interval $[0,3]$ as bellows:
\begin{eqnarray}\label{equation34}
&&y''(x)\simeq \sum_{i=0}^{N} {a_{i}Q_{i}(x)}=A^{T}Q(x)
\end{eqnarray}
where
$
A=[a_0,a_1,...,a_{N}]^T.
$
By using Eqs. (\ref{equation09}) and (\ref{equation16}) we have:
\begin{eqnarray}
&&\nonumber x=X(x)^{T}w=Q(x)^{T}\underbrace{(\textbf{M}^{-1})^{T}w}_\text{U}=Q(x)^{T}U,\\
&&\nonumber (2x^3+3x)=X(x)^{T}r=Q(x)^{T}\underbrace{(\textbf{M}^{-1})^{T}r}_\text{Z}=Q(x)^{T}Z,\\
&&\nonumber 1=X(x)^{T}p=Q(x)^{T}\underbrace{(\textbf{M}^{-1})^{T}p}_\text{V}=Q(x)^{T}V,
\end{eqnarray}
For approximating the solution $y'(x)$ and $y(x)$,  we apply one and two-time integration on both sides Eq. (\ref{equation34}):

\begin{eqnarray}
&&\nonumber  \int_{0}^{x}y''(x)dx=y'(x)-y'(0)\simeq \int_{0}^{x}A^{T}Q(x)dx \Rightarrow y'(x) \simeq A^{T}\textbf{I}Q(x),\\ \nonumber \\
&&\nonumber y''(x)x=A^{T}Q(x)Q(x)^{T}U\simeq A^{T}\tilde{U}Q(x),\\ \nonumber \\
&&\nonumber  \int_{0}^{x}y'(x)dx=y(x)-y(0)\simeq \int_{0}^{x}A^{T}\textbf{I}Q(x)dx-1\\
&&\nonumber \Rightarrow y(x)=A^{T}\textbf{I}^{2}Q(x)+V^{T}Q(x)=\underbrace{(A^{T}\textbf{I}^{2}+V^{T})}_\text{L}Q(x)= L^{T}Q(x),\\
&&\nonumber y(x)(2x^3+3x)=L^{T}Q(x)Q(x)^{T} Z\simeq L^{T}\tilde{Z}Q(x),
\end{eqnarray}
where $w=[0, 1, 0, 0, ..., 0]^{T}$,  $r=[0, 3, 0, 2, 0, ..., 0]^{T}$ and $p=[1, 0, 0, ..., 0]^{T}$. Therefore, Eq. (\ref{equation31}) can be rewritten as:
\begin{eqnarray} \label{equation35}
&& A^{T}\tilde{U}Q(x)+2A^{T}\textbf{I}Q(x)-2L^{T}\tilde{Z}Q(x)=0,
\end{eqnarray}
As in a typical Tau method \cite{refExapmle02} , we have:
\begin{eqnarray}\label{equation36}
&& A^{T}\tilde{U}+2A^{T}\textbf{I}-2L^{T}\tilde{Z}=0.
\end{eqnarray}
Finally, we generate $N + 1$ algebraic equations, therefore by solving above  equations the unknown vector $A$ is achieved.\\
 Table (4) reports the comparison of $y(x)$ given by exact value, the Hermite functions collocation (HFC) method applied by Parand et al. \cite{Parand.Dehghan.Communications} and  the proposed method  in this paper with $N=40$ . The absolute error graphs of  Lane-Emden equation obtained by present method for $N = 20, 30$ and $40$ are shown in Figure (\ref{FigExapmle2}).\\\\
\textbf{Example 3: }
We consider the following nonlinear Abel equation on the interval $[0,1]$ as follows:
\begin{eqnarray}\label{equation38}
y'(x)=sin(x)y^{3}(x)-xy^{2}(x)+x^{2}y(x)-x^3,~~~~0\leqslant x\leqslant1,
\end{eqnarray}
with the boundary condition
\begin{eqnarray}\label{equation39}
y(0)=0.
\end{eqnarray}\label{equation40}
To solve this example, we approximate $y'(x)$  functions by $N+1$ basis of shifted Bessel polynomials on the interval $[0,1]$  as bellows:
\begin{eqnarray}\label{equation34}
&&y'(x)\simeq \sum_{i=0}^{N} {a_{i}Q_{i}(x)}=A^{T}Q(x),
\end{eqnarray}
where
$
A=[a_0,a_1,...,a_{N}]^T.
$
By using Eqs. (\ref{equation09}) and (\ref{equation16}) we have:
\begin{eqnarray}
&&\nonumber x=X(x)^{T}w=Q(x)^{T}\underbrace{(\textbf{M}^{-1})^{T}w}_\text{U}=Q(x)^{T}U,\\
&&\nonumber x^{2}=X(x)^{T}r=Q(x)^{T}\underbrace{(\textbf{M}^{-1})^{T}r}_\text{Z}=Q(x)^{T}Z,\\
&&\nonumber x^{3}=X(x)^{T}p=Q(x)^{T}\underbrace{(\textbf{M}^{-1})^{T}p}_\text{V}=Q(x)^{T}V,\\
&&\nonumber sin(x)=Q(x)^{T}S,\\
&&\nonumber y(x)=A^{T}\textbf{I}Q(x),\\
&&\nonumber y^{2}(x)x=\Big(A^{T}\textbf{I}Q(x)Q(x)^{T}\underbrace{\textbf{I}^{T}A}_\text{W}\Big)Q(x)^{T}U\simeq A^{T}\textbf{I}\tilde{W}\tilde{U}Q(x),\\
&&\nonumber y(x)x^{2}=A^{T}\textbf{I}Q(x)Q(x)^{T}Z\simeq A^{T}\textbf{I}\tilde{Z}Q(x),\\
&&\nonumber y^{3}(x)sin(x)=\Big(A^{T}\textbf{I}\tilde{W}Q(x)Q(x)^{T}\underbrace{\textbf{I}^{T}A}_\text{W}\Big)Q(x)^{T}S\simeq A^{T}\textbf{I}\tilde{W}^{2}\tilde{S}Q(x),
\end{eqnarray}
where $w=[0, 1, 0, 0, ..., 0]^{T}$,  $r=[0, 0, 1, 0, ..., 0]^{T}$, $p=[0, 0, 0, 1, 0,  ..., 0]^{T}$ and
$S^{T}=\langle sin(x),Q^{T}(x)\rangle_{w}\langle Q(x),Q^{T}(x)\rangle_{w}^{-1},$.\\
Therefore, Eq. (\ref{equation38}) can be rewritten as:
\begin{eqnarray}
A^{T}Q(x) - A^{T}\textbf{I}\tilde{W}^{2}\tilde{S}Q(x) + A^{T}\textbf{I}\tilde{Z}Q(x) - A^{T}\textbf{I}\tilde{Z}Q(x) + V^{T}Q(x)=0,
\end{eqnarray}
As in a typical Tau method \cite{refExapmle02} , we have:
\begin{eqnarray}
A^{T} - A^{T}\textbf{I}\tilde{W}^{2}\tilde{S} + A^{T}\textbf{I}\tilde{Z} - A^{T}\textbf{I}\tilde{Z} + V^{T}=0,
\end{eqnarray}
In this step, we generate $N + 1$ algebraic equations, therefore by solving above  equations the unknown vector $A$ is achieved.\\
 The residual error graphs of the nonlinear Abel equation obtained by present method for $N = 5$ and $10$ are shown in Figure (\ref{FigExapmle3}). Table (5) displays given values $y(x)$  by the fractional order of the Chebyshev orthogonal functions (FCFs) collocation method used by parand et al. \cite{Delkhosh.Nikarya}, the present method and the residual error with $N=10$.\\\\
\textbf{Example 4: }
Consider the nonlinear the standard Lane-Emden problem
\begin{eqnarray}\label{standardLaneEmden}
y''(x)+\frac{1}{x}y'(x)+y^{2}=0,~~~~0\leqslant x\leqslant2
\end{eqnarray}
with the boundary condition
\begin{eqnarray}
y(0)=1,~~~y'(0)=0.
\end{eqnarray}

Thus, the solution of the Lane-Emden equation is obtained by the SBT method with  $N=8$ and $N=12$.

 The residual error graphs of the nonlinear standard Lane-Emden  obtained by the present method for $N = 8$ and $12$ are shown in Figure (\ref{FigExapmle4}). Table (6) reports  the comparison of the obtained values $y(x)$  by the present method with $N=12$, Horedt \cite{refExapmle04}, the Bessel orthogonal functions collocation (BFC) method utilized by Parand et al. \cite{refBesselPol05} and the Chebyshev orthogonal functions (GFCFs) collocation method proposed by Parand et al. \cite{Parand.Delkhosh.Teknoligy}.\\\\
\textbf{Example 5: }
ّFinally, consider the boundary-value the Troesch's problem
\begin{eqnarray}
y''(x)=\gamma \sinh(\gamma y(x)), ~~~~0 \leqslant x \leqslant 1,
\end{eqnarray}
with the boundary conditions
\begin{eqnarray}\label{boundary.example5}
y(0)=0,~~~y(1)=1,
\end{eqnarray}
We approximate $y(x)$  functions by $N+1$ basis of shifted Bessel polynomials on the interval $[0,1]$  as bellows:
\begin{eqnarray}\label{equation34}
&&\nonumber y(x)\simeq \sum_{i=0}^{N} {a_{i}Q_{i}(x)}=A^{T}Q(x)
\end{eqnarray}
where $A=[a_0,a_1,...,a_{N}]^T$ .

By using the SBT technique described in the paper, we can generate a set of linear algebraic equations as follows:
\begin{eqnarray}\label{algebraic.example5}
A^{T}\textbf{D}^{2}-\gamma(\gamma A^{T}+\frac{\gamma^{3}}{3!}A^{T}\tilde{A}^{2}+\frac{\gamma^{5}}{5!}A^{T}\tilde{A}^{4})=0,
\end{eqnarray}
where $Q(x)Q(x)^{T}A\simeq \tilde{A}Q(x)$.

To satisfy the boundary conditions Eq. (\ref{boundary.example5}), we have substituted the following equations in two rows of Eq. (\ref{algebraic.example5}):
\begin{eqnarray}
&& y(0)=A^{T}Q(0)=0,~~~y(1)=A^{T}Q(0)=1.
\end{eqnarray}

Table (7) displays  the comparison of the obtained values $y(x)$  by the modified non-linear shooting method (MNLSM) applied by Alias \cite{Alias.Teknology}, the numerical scheme based on the modified homotopy perturbation technique used by \cite{Feng.Computation} and the present method with $N=10$ and $\gamma=0.5$.

\section{Conclusion}
The shifted Bessel Tau (SBT) method is a useful technique for solving ordinary differential equations. Numerical programs using this method are often considerably faster with greater accuracy than other standard techniques such as the variational iteration method, shooting method and homotopy perturbation technique. Interest in the Tau method, for a long time regarded only as a tool for the construction of accurate approximations of a very restricted class of functions, has been enhanced. In this investigation, the Bessel polynomials operational matrices of integration, differentiation, and product are derived. A general procedure for the formulation of these matrices is given. By utilizing the operational matrices  and  the Tau method, we reduce the solution of the original equations to the solution of a nonlinear algebraic equation system. Therefore, all of these equations can be solved by Newton method for the unknown coefficients. Some problems with initial or boundary conditions  are considered in one dimensional contexts, although the proposed technique can be easily implemented for two and three dimensional problems. The main advantage of the present method is its simplicity and convenience for computer algorithms. Illustrative examples demonstrate the validity and applicability of the present method.

redpajama_set_name: RedPajamaArXiv


Electric buses in Thiruvananthapuram, Ernakulam, Kochi and Kozhikode | PlugInCaroo… Karo plugin… abhi!… save the environment!!!
The Kerala State Road Transport Corporation (KSRTC) rolled out its first electric bus on Monday, making Kerala the sixth Indian state to run the service.
KSRTC will carry out a trial run for 15 days starting from Monday, out of which 8 days will be in Thiruvananthapuram and 7 days in Ernakulam, following which it will conduct services in Kochi and Kozhikode.
Kerala Chief Minister Pinarayi Vijayan in his Facebook post on Monday said that if the services are successful, they will roll out around 300 electric buses for service throughout the state.
in line with the sustainable development concept of Kerala that the government is considering," said Pinarayi in his post.
During the trial runs, the services will operate in various terrains, including high ranges and local conditions.
A teaser demo was held at Pappanamcode workshop in Thiruvananthapuram on Sunday, where the KSRTC chairman and managing director Tomin J Thachankary introduced the bus.
"The bus will be charged at night, so there won't be any difficulty of overloading due to the e-bus charging. It requires between four-five hours to get fully charged," said Thachankary to the New Indian Express.
The buses by the Hyderabad-based Gold Stone Infratech Ltd. (GIL) will be given for the trial run to the state, free of cost.
An E-bus that is fully charged can cover a distance of about 350 kilometres. The electricity consumption for one kilometre will be just 1 unit.
This entry was posted in Uncategorized and tagged Electric Bus, electric bus in Kerala, Gold Stone Infratech Ltd, KSRTC, Tomin J Thachankary on June 19, 2018 by PlugInCaroo.


text:
Mars Polar Lander
Order year
Base country
Estimated investment
Lead contractor
NASA Jet Propulsion Laboratory (JPL)
Spectrasensors, Inc., Finnish Meteorological Institute, University of Washington
Diagram of the Mars Polar Lander.
Diagam of the meteorological mast.
Diagram of the spacecraft's robotic arm.
The Nasa lander was tested in Death Valley, California before being sent to Mars.
Diagram of Mars Polar Lander stages.
Lockheed Martin technicians inspect the equipment.
The Mars Surveyor '98 Programme comprised of two spacecraft launched separately, the Mars Climate Orbiter (formerly the Mars Surveyor '98 Orbiter) launched in 1996 and the Mars Polar Lander (formerly the Mars Surveyor '98 Lander).
The two missions were designed to study the Martian weather, climate, and water and carbon dioxide budget, in order to understand the reservoirs, behaviour and atmospheric role of volatiles and to search for evidence of long-term and episodic climate changes on Mars.
NASA lost communication with the Mars Polar Lander shortly before the Spacecraft was set to land on Mars on December 3rd 1999. All communication attempts with Mars Polar Lander and Deep Space 2 have been ended.
The project involved sending the Mars Climate Orbiter and Mars Polar Lander to Mars, so as to analyse the planet's atmosphere and terrain. The mission cost $154 million, which includes $65 million for the cost of the craft.
The five primary objectives of the mission were:
Record local meteorological conditions near the Martian south pole, (temperature, pressure, humidity, wind, surface frost, ground ice evolution, ice fogs, haze, and suspended dust)
Analyse samples of the polar deposits for volatiles, particularly water and carbon dioxide
Dig trenches and image the interior to look for seasonal layers and analyze soil samples for water, ice, hydrates, and other aqueously deposited minerals
Image the regional and immediate landing site surroundings for evidence of climate changes and seasonal cycles
Obtain multi-spectral images of local regolith to determine soil types and composition
DATA COLLECTION INSTRUMENTATION
The project used a number of different instruments for the data collection. This includes a Mars Volatiles and Climate Surveyor (MVACS) instrument package, which included a robotic arm and attached camera, mast-mounted surface stereo imager and meteorology package, a gas analyzer and a Mars Descent Imager (MARDI), which planned to capture regional views from parachute deployment at about 8km altitude down to the landing. In addition, the Russian Space Agency provided a laser ranger (LIDAR) package for the lander, which would be used to measure dust and haze in the Martian atmosphere. As well as this, a miniature microphone was also on board to record sounds on Mars.
THE MARS VOLATILES AND CLIMATE SURVEYOR'S METEOROLOGICAL PACKAGE (MET)
The Mars Volatiles and Climate Surveyor's Meterological Package (MET) will function as a Martian weather station. The package consists of a collection of sensors at various heights on two masts, as well as a four pressure sensors that reside on the lander deck.
The MET comprises the MET mast, which has three temperature sensors on the 1.4m main mast, a wind sensor at the top of the mast, which detects speed and direction and a tunable diode laser (TDL) spectrometer on the mast, which measures water vapour in the atmosphere as well as other gases.
ROBOTIC ARM ATMOSPHERIC TEMPERATURE SENSOR (RAATS)
Also included is the robotic arm atmospheric temperature sensor (RAATS), which acquires temperature measurements near the lander deck, and a MET pressure sensor which will measure the changes in the atmospheric pressure near the surface. This was provided by the Finnish Meteorological Institute, Department of Geophysics (FMI/GEO). Furthermore, the MET is equipped with a soil temperature probe (STP), which can measure the temperature of the Martian soil.
A pair of small probes known as the Deep Space 2 Mars Microprobes, were attached to the lander spacecraft. These were used to fall and penetrate beneath the martian surface when the spacecraft reached Mars. The Lander weighs approximately 583kg, including 64kg of fuel, an 82kg cruise stage, a 140kg aeroshell/heatshield and the two 3.5kg microprobes. The craft incorporates a thermally regulated interior component deck, which holds temperature sensitive electronic components and batteries and the thermal control system.
The robotic arm, the stereo imager and mast, a UHF antenna, the LIDAR, the MVACS electronics, the meteorology mast and the medium gain dish antenna are mounted on top of the base. The MARDI is found at the base of the lander and the propellant tanks are affixed to the sides.
ATTITUDE CONTROL
Star cameras and sun sensors in conjunction with inertial measurement units provided three-axis stabilisation during cruise, while four hydrazine cruise reaction engine modules, each consisting of one 5-lbf trajectory correction maneuver thruster and one canted 1-lbf reaction control system thruster, provided attitude control. Control and knowledge for descent and landing is provided by a 4 beam doppler radar system and an AACS subsystem.
Communication was maintained by two solid state power amplifiers and a fixed medium gain antenna using X-band. During surface operations, communications (downlink and uplink) were to be via the UHF antenna on the lander to the Mars Climate Surveyor orbiter, which was to function as a relay to Earth.
Power, both during cruise and after landing was provided by two sets of gallium arsenide solar array wings. Power is stored in 16A/hr nickel-hydride common pressure vessel batteries for peak load operations and night time heating. The payload is allocated 25W of continuous power when operating.


PERE COSTA - PARC GUINARDÓ. Spectacular duplex penthouse in front of the Parc de les Aigues and the Parc del Guinardó. Its orientation allows us to have sun all day and enjoy in its spacious terraces the warmth and Mediterranean luminosity of the city. A pleasant atmosphere is breathed throughout the house that is distributed in two completely different spaces. . On the one hand, the noble floor redesigned in the purest Italian style with modernist brushstrokes that imitate the Gaudian windows and trencadis. It is distributed from a generous lobby, in an extraordinary and comfortable living room, kitchen equipped with the highest range of appliances, two suite rooms, and large windows on both sides of the property with large terraces that allows us to enjoy this home privileged Complimentary toilet, water area, service room and large storage areas complete this plant. On the other, the upper attic area, designed in the classic mountain style, with games room, large study with fireplace, three bedrooms, gym and sauna. This area has two large storage rooms and storage areas that allow you to take advantage of the maximum space available in the property. In short, a house that invites us to spend relaxing moments and enjoy that much-needed time in our daily lives.
NEW WORK EIXAMPLE-SAGRADA FAMILIA. BRAND NEW ATTIC. Large terrace of 68 m². Located in Eixample, next to the Hospital San Pablo and Avd. Gaudí, in the Sagrada Familia neighborhood. Unbeatable location with excellent communication by car and public transport. A charismatic neighborhood that provides us with all kinds of services. The house is equipped with the highest quality, has 2 bedrooms and a bathroom, fully furnished kitchen with premium brands, WIFI, parquet floors and porcelain tiles. It has armored door, cold-hot air conditioning and double glazing. The farm consists of 6 floors with elevator. New and finished work.


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text:
What Do Women Want? I Don't Know — Maybe You Should Ask Them
By Lily Beaumont
By now you've likely heard about the latest moral panic sweeping America: the so-called "hookup culture" made famous by Donna Freitas's recent book, The End of Sex: How Hookup Culture is Leaving a Generation Unhappy, Sexually Unfulfilled, and Confused about Intimacy. The issue has caused tempers to flare on all sides. While some see it as a symptom of a culture of irresponsibility and declining moral standards, others argue that the supposedly recent trend has been around for quite some time and reflects the activities of a particular subset of the millennial population. What is all too frequently lost amidst the outrage, however, is any effort to understand the mindset of the young people — and particularly the young women — at the center of the controversy.
Perhaps it's not surprising. The motivations of men, after all, need no explanation in the popular imagination. The idea that all men are sexually insatiable is one of the most pervasive and tenacious gender-related myths, so despite all evidence to the contrary, we assume that it is only natural for young men to take advantage of the relaxation of sexual mores brought about by the 1960s' Women's Liberation Movement. Generally speaking, this is about as far as those who worry about hookup culture are willing to go in their efforts to root out its causes, no doubt because of the chain of related (if incorrect) assumptions that quickly follow: the counterpart of the promiscuous man is the chaste woman, and if women don't really desire sex, it follows that any who have sex outside of a relationship must be deluded, manipulated, or both.
Let's rewind 56 years, though, as Caroline Kitchener did for a recent piece in The Atlantic. Kitchener compares two articles — one written in 2013 and one in 1957 — and concludes that what women really want (and have always wanted) is the "freedom to define sex and relationships in their own time, on their own terms."
How does Kitchener arrive at this revolutionary conclusion? Largely by looking at what women themselves have to say. In her discussion of Kate Taylor's "Sex on Campus — She Can Play That Game, Too," Kitchener highlights the fact that many college women today simply don't feel they have time for the demands of a monogamous, long-term relationship. As Taylor writes, "These women [those interviewed as part of a study] saw building their résumés, not finding boyfriends (never mind husbands), as their main job at Penn. They envisioned their 20s as a period of unencumbered striving, when they might work at a bank in Hong Kong one year, then go to business school, then move to a corporate job in New York. The idea of lugging a relationship through all those transitions was hard for many to imagine." Those who put their relationship status on the back burner are left with two options: celibacy or some form of casual sex. Some women — though by no means all — opt for the latter.
Nor does this "trend" necessarily indicate a lowering of female expectations. As Hanna Rosin has pointed out, plenty of women who engage in casual sex do plan on "settling down" — just not before they have their professional lives in order.
No doubt there are some women who participate in casual sex because they feel obliged to, and that is an issue we should be discussing. But as Kitchener points out, Nora Johnson, writing in 1957, felt that women were pressured not into casual sex but rather into the monogamous relationships we now assume all women desire. And little wonder: Long-term relationships, though much hyped, can be every bit as "unfulfilling" as hooking up if, as Johnson writes, one finds oneself in a relationship based primarily on "convenience." If there is a problem, in other words, it probably stems not from some besiegement of female chastity but from the broader inability or reluctance of some women to assert their own needs and desires or, conversely, the unwillingness of their partners to pay attention.
And all those writers and pundits who make sweeping assumptions about the motivations and desires of women based on what they "know" about the motivations and desires of men? They're simply compounding the problem. It's 2013 — more than 100 years since Freud famously declared female sexuality to be, in essence, a knock-off of male sexuality — and yet we still seem to have trouble negotiating female desire on its own terms. It's high time we accepted that different women want different things sexually, that even the same woman may want different things at different stages of her life, and that all of that is okay. The only thing that's not? Pressuring any given woman into adopting a sexual lifestyle — be it abstinence, monogamy, or "hooking up"—that she doesn't want. Rather than endlessly and unproductively agonizing over the "true" nature of female sexuality, why not simply work on giving girls the self-confidence they need to assert their own, unique preferences? Then we wouldn't have to speculate — we could just ask.


The Charles Allis Art Museum enriches Milwaukee's quality of life by creating opportunities for residents and visitors to experience history, culture, and the arts.
The Charles Allis Art Museum enriches Milwaukee's quality of life by creating opportunities for residents and visitors to experience history, culture, and the arts, in particular by offering vibrant exhibitions and performances in a stately and intimate urban mansion, which permanently houses the art collection of early 20th-century industrialist Charles Allis.
The Charles Allis Art Museum is managed by the nonprofit Charles Allis and Villa Terrace Museums, Inc. Please click to view CAVT's latest Annual Report and IRS Form 990.
Share the unique setting of Milwaukee's historic East Side as your guests appreciate the appeal of this stunning 1911 Tudor-style mansion.


Earlier today, Spoon confirmed their first UK shows since 2014. Following the March release of the highly anticipated 'Hot Thoughts', Spoon visit Manchester, Glasgow and London in late June. Tickets go on sale February 3rd.
For those of you out there who missed Car Seat Headrest live from KEXP's new Live Room, you're in luck. The full-session is now available for viewing at your leisure. The band are currently in Australia for Laneway, but there are MANY opportunities to see them all over the world this year. Full list of dates below.
Interpol have confirmed a series of summer and autumn shows to mark the 15th anniversary of their landmark debut album, 2002's 'Turn On The Bright Lights' ; they'll be playing 'TOTBL' from front to back starting August 9 in Prague. There's no North American dates for this one, but thanks for asking!
Paul Banks, Daniel Kessler and Sam Fogarino are currently working on new material for a new album, tentatively scheduled for release via Matador in 2018.
Currently on tour with Lee Ranaldo & Meg Baird stateside, Steve Gunn is never shy to announce even more tour dates. There is a big batch of new shows that were announced this morning across the UK and Europe. All ticket links can be found HERE. Even more shows for this new tour are in the works, so don't fret if you don't see a show close to you below.
Perhaps it would be unfair to call this the most poorly kept secret in recent memory, but it's certainly in the top ten. On March 17, we'll releasing the 9th and latest album from Spoon, 'Hot Thoughts' in all territories.
'Hot Thoughts'' is the bravest, most sonically inventive work of Spoon's career. With all due respect to earlier efforts that have made the quintet both critically acclaimed and a commercial contender, preconceptions about this band are about to be obliterated. That's not to say 'Hot Thoughts' doesn't have a requisite supply of infectious earworms but there's a lyrical bent that's as carnal as it's crafty, and a newfound sense of sonic exploration that results in the genre-smasher Spoon have flirted with in the past but not fully consummated.
Co-produced by Spoon and Dave Fridmann and reunited with Matador (third time's the charm), with the crackling, incandescent, multi-dimensional backdrop conjured on 'Hot Thoughts', the lines between accessible and experimental become non-factors for once and all. It's pop as high art, delivered with total confidence and focus.
Following a streak of three consecutive Top 10 albums—'Ga Ga Ga Ga Ga' (Merge, 2007), 'Transference' (Merge, 2010) and 'They Want My Soul' (Loma Vista, 2014)--Hot 'Thoughts' is nothing short of a masterwork. Within the space of 10 songs, 'Hot Thoughts' creates a musical universe of its own, ranging from the kaleidoscopic opening/title track—available to stream here or as an instant download with all pre-orders --through the gargantuan stomp of "Do I Have To Talk You Into It" and ubiquitous wiry hooks of "Can I Sit Next To You" to the bittersweetness of "I Ain't The One" and beyond.
Having recently previewed 'Hot Thoughts' material in a surprise hometown warm-up, Spoon has also confirmed a three-night release week SXSW residency for which the band will resurrect the original Austin venue Emo's location, currently referred to as "The Main" on March 14, 15 and 16. Spoon will select a unique line up each night and will stubbornly be referring to the venue as "Eno's".
Details on the various vinyl formats can be found below.
Green Vinyl version - Exclusive to Matador and Spoon web store orders only. Two Golden Ticket Green Vinyl versions are hidden within the purple pressing. The lucky recipient will win tickets to the nearest Spoon show upon redemption.
We can't rightfully call it "decades in the making". After all, the 'Cockfighters' EP has only been at the pressing plant a few months, and said facilities get far too much criticism from laypersons and record company creeps these days, as is. The important thing is that we're on the precipice of rock history as once again, Clay, Matt, Scott and James have convened (albeit briefly) to remind us their collective skill-set is as unbeatable in 2017 as it was, well, whenever you first heard Chavez. The 12" EP is out today and is available for physical purchase, download or streaming.
If you're in NYC, Matt Sweeney and Dave "Ferd" Ferguson will be performing a brief set in the basement of Max Fish at around 8pm. They'll be giving away copies of 'Cockfighters' as well, though not very many. We're not made of free records (and neither are they), though I'm told we're mostly water. This doesn't sound right at all. What's with all the hair and skin?
We're very thrilled to announce the signing of Memphis, TN-based songwriter Julien Baker. The 21-year-old's widely-acclaimed 2015 debut album, 'Sprained Ankle' (originally released by 6131) is available now digitally, with Matador's LP and CD reissue available in all territories (save for North America and Australia) on March 17. We'll be releasing Julien's next studio album everywhere.
As premiered earlier this morning via NPR's "All Songs Considered", you can hear the previously unreleased "Funeral Pyre", the A-side for Baker's new 7", out on March 17th on Matador*. Only Baker can make a song with such a darkly macabre title so heartbreakingly gorgeous, with her signature hushed-yet-lofty vocals soaring over a quietly finger-picked melody that crescendos into layered, almost-orchestral beauty. The B-side, "Distant Solar System," is another unheard song from the 'Sprained Ankle' sessions.
(* - said 7" will be included in the international editions of the 'Sprained Ankle' LP ; however, the single will be available for stand-alone purchase in North America).
VIDEO : Steve Gunn - "Full Moon Tide"
Prior to next week's solo tour alongside Lee Ranaldo and Meg Baird, The Bluegrass Solution have posed a clip of Steve Gunn performing "Full Moon Tide" at an undisclosed downtown L.A. location.


Pharynx Function The human body contains wood systems and areas which work together to keep up both external and internal conditions of your body. The human body's preservation system's significance should indeed be quite high. Persons can easily get ill as a result of fluctuations of the internal situations and various changes that can arise anytime on account of any cause.
Outer situations may drastically affect the inner circumstances of the human body particularly when different techniques or the immunity system perform inefficiently within the human body. There are many factors causing these improvements and changes. However, the human body attempts its far better maintain the suitable issue or even the energetic stability (which will be around 37 degrees Celsius).
The fundamental maintenance system works with blood vessels, areas, and tissue fluids since they are important factors to modify changes in the body problem. By incorporating or eliminating the materials from structure fluids, cells, and blood vessels, the five main body techniques work efficiently to reach equilibrium that is dynamic.
The Five Main Methods: One of the most important systems is the system. By protecting blood cells from contracting all kinds of diseases, the system works. The respiratory system includes the lungs. The lungs have the effect of the breathing procedure which requires the consumption of Air along with Carbon Dioxide's treatment.
The digestive system contains the standard areas such as the intestines, the belly , gallbladder, liver, and other equipment areas including: the esophagus, teeth, language, the salivary gland, as well as mouth. The gastrointestinal system mostly accepts the intake of food and has the capability to consume them into chemicals and vitamins the human body needs. It is vital that you know all organs and pieces enjoy significant tasks in each process.
As an example, the spit performs a crucial function in the first-step of digestion. The digestive tract has the capacity to function successfully in process as it then delivers the food elements towards the abdomen then for the intestines to continue the procedure since it includes an enzyme termed Amylase, which stops working starch into glucose. In preserving the harmony of the body the final system which helps is the urinary system.


2004 – Shiraz and Chambourcin picked from our 'Effen Hill' Vineyard. This was a wet vintage that challenged the 'die-hard' pickers to hand-pick and transport all fruit from the vineyard (as it was too wet for tractors).
2005 was hot and dry with fruit ripened to perfection. The vineyard was nearly at full production with Shiraz, Merlot, Chambourcin, Cabernet Sauvignon, Semilon, Verdelho and Chardonnay picked.
2006 has been a season of challenges. Due to the intense heat of January and February, together with no rain through December – January, the wines are higher in alcohol with more intense fruit flavours. Tipple's Gold Botrytis Semillon was added to the list of wines and fruit quality was good enough to produce a Reserve Shiraz.
2007 was one of the most ideal vintages in years with perfect warm clear days and cooler nights allowing fantastic ripening and fruit flavours. Harvest commenced 3 weeks early and was completed by mid February. The drought ensured there was no disease pressure and the maturing vines coped extremely well. All wines are showing exceptional varietal character with intense fruit flavours…look out for the reds!!
2008 was a challenging vintage. Significant winter rain provided ideal soil moisture for a tremendous budburst. This was followed up with regular spring rain events and a warm October allowing vigourous growth along with uniform flowering and fruit set. Summer was mild and wet with harvesting of Pinot Gris commencing the last week of January. All whites were picked by the first week of February. The weather by this stage had become increasing challenging for ripening our reds and whilst most growers in the Hunter Valley were abandoning their crop we were able to pick all our reds free of any disease. Vintage came to end on 8th March with great quality Cabernet Sauvignon being picked.
2009 was well set up with good winter and spring rains. The heat of January 2009 was of concern but the maturing vines held up well. All whites were picked by the first week of February with Merlot safely in the winery on 11th February in the midst of a thunderstorm. The remaining reds were delayed due to a further 5 days of rain but by 7th March the Cabernet Sauvignon signalled the end of vintage. The resultant wines are all looking stunning with the Semillon and Shiraz standouts.
2010 budburst was even and began early during the 2nd and 3rd week of August. Despite little rain since early August the soil moisture levels were good. Ideal warm spring conditions saw good vigour, even fruit set and early Veraison. December and January were hot and dry with sugar levels high. All whites were picked between 23rd and 26th January. Despite high sugar levels in the reds at the same time the flavour profile was underdeveloped. A decision was made to 'see out' the 3 day rain event at the end of January and the resultant reds were harvested between 12th and 23rd February with lower sugar but fantastic colour and flavour profiles. The wines of 2010 look to be stunning.
2011 began well after a mild, wet winter. Budburst was even and fruit development uniform. Spring was mild with the heat begining in December and a week of 40 degree days during January. As usual, Pinot Gris was the first picked on 28 January and within the week all whites were safely in the winery with stunning flavours and perfect acid levels. The first week of February saw some showers and the reds took a little while to recover from the heat but some tremendous fruit was picked through the latter half of February with the Cabernet the last to come off at the beginning of March. Overall it was an excellent vintage with the whites a standout.
2012 saw an earlier budburst than 2011 (despite the cooler Winter). Rainfall was plentiful during Winter and early Spring. Summer never really eventuated with much cooler growing conditions into Summer (only a couple of days above 30 degrees). Disease pressure was immense whilst we patiently waited for the grapes to ripen. For the whites, natural acids were retained but flavour development was slow. A decision was made not to pick Pinot Gris and Viognier whilst Semillon, Chardonnay, Verdelho and Traminer were very good. Disease was under control in the reds (unlike much of the Valley), however, we decided not to pick Merlot and Cabernet Sauvignon. Shiraz was lower in sugar and flavours to create a softer style. Chambourcin was the pick of the reds with great flavour development.
2013 budburst was mid to late August across the board due to the warmer bursts through that month. A drier than normal Spring saw the vines with a smaller canopy and although bunch numbers were similar to the past the bunch and berry size saw a much lighter cropping level. Disease pressure was considerably less than the previous 5 vintages. All the whites were picked before February with some rain around Australia Day slowing the process down slightly. Semillon was first together with Pinot Gris whilst Viognier was picked later as a sweeter style. February continued to be warm but wetter. Shiraz was first to be picked the second week of February but by the third week all reds were safely in the winery. It was an interesting vintage that saw cropping levels down between 30-50 percent. However, the quality is exceptional. Whites will be bottled during May and June whilst the reds will enjoy an additional 12 months in oak.
2014 will go down as one of the best vintages in the Hunter Valley. Some Winter rain and milder conditions allowed for an earlier buburst. Spring was hot but conditions became milder during the final stages of ripening with rain events occurring at critical stages. The resultant fruit was perfectly ripened and cropping levels had returned to a normal level. Both whites and reds are stunning.
2015 started with a later budburst due to a colder Winter in 2014. Spring was exceptionally dry reducing the crop slightly with the exception of Shiraz which was down 50 percent. Disease pressure mounted during the ripening period with consistent rain events but for those that placed extra attention into the vineyard survived these events and picked some excellent whites and some stunning reds. Some of our best Shiraz and Cabernet Sauvignon were harvested a little later than usual.