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Mixed Integer Programming

An Integer Programming problem is a mathematical optimization problem of which some or all of the variables are limited to be integral numbers. In a lot of settings the term Integer Programming refers to Integer Linear Programming also known as mixed integer programming. Integer programming is NP-hard. A special case is the 0-1 integer linear programming, in which the unknown values are binary. This is one of the 21 NP-complete problems of Karp.

In linear programming problems, all the variables are real numbers. In problems constrains and the function remain linear, but some or all of the variables are integers. So while linear programming has continuous variables, Integer programming has discrete (integer) variables and Binary Integer programming problems have binary variables. Mixed Integer programming problems have discrete and continuous variables, examples are numbers, 0/1 decisions. Non-linear conditions can be formulated as linear. (if-then conditions) Integer problems are much harder to solve than continuous problems. Discrete problems are often NP-complete. (no polygonal algorithm) The amount of solutions is limited in most cases, but limited can still be a large number.

Some examples of Integer Programming problems are: designing distribution networks, transportation planning, determination of series size in production, shift-schedules, frequency assignment in telecommunication, gate distribution in the aviation industry and determining the consistency of software releases.

To avoid any confusion, the simplex method, which can be used for normal linear programming problems, is not enough for solving integer linear programming problems. There are also no dual integer linear programming models and there are no sensitivity analyses that can be applied to integer linear programming models. In short; most of the common methods for solving linear programming problems, cannot be applied to integer programming.

A concrete example of an integer programming problem is the knapsack problem. In the knapsack problem there is a bag that can carry a maximum amount of kilograms. Then there are a few items that you want to fit in the bag. Every item has its own weight and its own value. The objective here is to a few items in the bag with the highest possible value possible. The decision problem form of the knapsack problem lies in the question: Can a value of at least X be achieved without exceeding the weight Y. The knapsack problem is a fairly simple and imaginative example of the knapsack problem. Most real life problems are far more complex.

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Samsung Slr Camera Price In India

Now, digital cameras completely replaced the conventional cameras and their prolonged chemical and mechanical photo developing procedure. With digital camera you enjoy great camera work and brilliant picture quality. You are allowed to edit and alter your pictures and instantly get the view of captured images. There are hundreds of digital cameras from different categories under the umbrella of various brands.

SLR & DSLR cameras have advantages over the simple point-and-shoot cameras and get you the true value of your money. SLR cameras are built for speed or fast operations, no matters whether its entry-level piece or professional one. SLR cameras performs well even in low light conditions, offer you great pleasure of easy manual controls over shooting and in advantage allow you to use numbers of lenses to add flexibility to your camera work.

Samsung is the most reliable electronic brand that also deals in camera manufacturing and leading the market with great pace. There plenty of Samsung digital cameras offering you perfect blend of top-quality, performance and style at very affordable price. Samsung Digital SLR camera price in India is also quite reasonable.

Like Samsung GX 1S is the compact and feature packed digital camera having organization of fine 11 point autofocus system, higher ISO sensitivity, long-lasting battery, vibrant image quality and more. The performance and controls are pretty impressive. Samsung GX1S is near around Rs.27, 000. Similarly, Samsung GX20 price around Rs.68, 586, which found to be a little expensive affair but worthwhile for the offered features and quality.

Samsung NX10 is the decent picture quality camera offering you brilliant versatility and flexibility with your photography. Samsung NX10 review provides you complete and precise information about its features and overall quality. Camera is the passion for a photographer therefore it is essential to go through the detail pros and cons of your digital piece. If you are looking for detailed information about Samsung SLR cameras and SLR camera price in India just logon to naaptol where you will also available with other quality options from various brands and avail the advantages of best online deals with discounts. Even, a better comparison of features and price of the products leads to a fair selection.

Tips For Planning A Rainy Wedding

In a country like the Philippines where the year is divided only between the rainy season and the summer season, it is essential to be prepared for rain when planning your wedding day. If your target wedding date falls within the rainy season, below are some tips to help you prepare for a rainy wedding.

Book an indoor venue. This is a foolproof way to spare your wedding from rain. Whether you are having separate venues for the ceremony and the reception or not, booking indoor venues will limit the effect of rains on your wedding day to the inconveniences while outside the venue. If you are set on having a garden wedding, you might want to consider garden-inspired indoor venues such as The Glass Garden and The Oasis.

Have a backup plan. If you simply could not find an indoor venue that you like, just make sure that you have backup plan in case it rains. You can rent a tent where your guests can take shelter just in case. You may also want to consider looking for an outdoor venue that also has an indoor area so that you have an alternate space. Talk to the management of the venue and make an arrangement or a plan with them on what to do in case it rains on your wedding day. Although most of your wedding suppliers will probably be prepared for such situations, it is still better to communicate with them on what to do in case it does rain. Your chosen catering service will particularly need to be prepared because they play a big role in making sure that your guests will still have a good time.

Give away umbrellas. If you are getting married during the rainy months, having umbrellas as wedding favors is an excellent way to provide your guests with a way to deal with the rain. Choose a single color for the umbrellas you will give away or you can also follow your wedding colors. You might even be able to find someone who can customize the design of the umbrellas.

Take it easy. Whether it rains or not, remember to take it easy and to enjoy the most important day of your life! Your guests will not mind a little rain if they can see and witness how happy you and your partner are. Keep the good mood and your guests will follow suit.

List Of Best Online Shopping Portals In India

Naming a Best Online Shopping Portal in India is as difficult task as naming the Best Businessman of the Year. A number of factors decide which one is the best. Starting from the design and simplicity of the online shopping site, to how products are branded and marketed online, to what offers and discounts are being offered and at what time of the year and what are the after sales services of the site. This is just an outline of how a certain online shopping portal can be termed as The Best.

If you go through various search engines, you will find a number of shopping portals circulating. Some of them are very famous ones like indiapalza, homeshop18, indiatimes shopping, ampee.com, humsurfer.com, metamindsindia.com, bumperoffers.com, futurebazar.com, naaptol.com and so on. All of these feature the best brands and companies in name of products they sell. These can include any category clothes, fashion and accessories, gift items, kitchenware, hardware, computers, mobile, technology, jewellery, cameras, laptops, MP3 players, camcorders, books, health and beauty, kids and toys, home appliances and so on.

These online shopping stores are gaining popularity because of the schemes they run on which include Free Home Delivery and Huge Discounts on the products purchased. With increasing traffic jams and lesser time for working professionals, these are best places to shop on. When a particular Online Shopping Store is selected for the Best Portal, these advantages and offers are genuinely counted. Customers votes also play their role in making a portal reach the top ranking.

As per my shopping experience I term HomeShop18 as the best Online Shopping Portal so far. It is one of the best stores as per my shopping experience here. A venture of Network 18 Group, it has been awarded as the Best Workplaces 2008. Customer satisfaction too is above the satisfaction level. In terms of discounts, monthly and yearly offers and on-time home delivery, there cannot be a better place than Home Shop18. It has also been awarded at the Best Shopping Website by PC WORLD WEB AWARDS in the year 2008. With schemes like Buy a product and win assured prizes and sabki jeet pakki it is the favorite site among the customers. The most favorite feature of Home Shop 18 is Pay Cash on Delivery which is really popular with its customers. I suggest all those who havent checked in the website of Home Shop 18, should try this memorable experience of online shopping at least once!

Chester Zoo – A Day Out With the Animals!

The quiet Cheshire countryside holds Britain’s favourite wildlife attraction the Chester Zoo. Noted as one of the fifteen best zoos in the world by Forbes in 2007, the family-owned organization is famous for its conservation efforts and displaying the biodiversity of the world in innovative ways. A visit to this zoo is a great way to spend an educative day with children of all ages.

When George Mottershead started collecting animals as a hobby, he ended up with quite a collection that needed more room. After he was wounded in the First World War, he worked to make his dream of a private zoo come true and opened Chester Zoo in 1931. Working with new ideas of Carl Hagenbeck the enclosures for the animals were not the classic Victorian cages but moats and trenches. One of its first major attractions was the Chimp Island, where the use of water was used to separate the chimps from the visitors for the first time in a zoo.

Initially just 9 acres, the zoo now covers 111 acres and can be navigated using various methods of transport. A monorail system that crisscrosses the grounds gives a great overview of all the animals. The canal network is also turned into a tour route during peak season with the water bus services. For those who want a closer look without the hassle of walking, hire a mobility scooter at the entrance.

But the stars of the place are the animals. Counting over 420 species, the zoo houses more than 9000 animals living in enclosures designed to resemble their natural habitats as closely as possible. An entire heard of Asian elephants live with monitor lizards, jungle fowl and other creatures of Asian origins. The ‘Spirit of Jaguar’ exhibit holds spotted jaguars and an elusive black panther along with tree boas and poison arrow frogs. Fruit bats, orang-utans and okapis are also animals who call this place home. Its successful chimpanzee and rhinoceros breeding programmes are well known as well.

Visiting the zoo’s extensive grounds can be a great day trip from any of the Millennium & Copthorne Hotels UK. With the seasonal and weekend offers given by the you can take the weekend off into the countryside. Several of these are situated near popular airports and stations, making for convenient transport options as well.

Indian Singers Rock The Worldwide Music Scene

India has always possessed a great colorful and musical heritage. Dance and Music are integral aspects of the countrys culture. They are indispensible to the spiritual and social lives of the Indian people. In India, music is regarded to be a celebration of life. Indian singers ranging from classical singers to light music singers are very well known worldwide.

India is a land of many cultures and religions. All of the cultures are colorful, have a rich history and have their own beautiful music and dance forms. Many talented dancers and singers have India as their origin and they lend a mystical aura to the musical scene worldwide. The country is home to many talented and exceptional dancers and music artists, from singers to instrumental music whizzes.

Music is a magnificent form of expressing feelings and thoughts. It has the power to touch your soul and make you feel good. Hindi music is very famous all over the world. Classical, folk or modern, each form of music has many extremely talented singers from India. In the olden days, dancers were accompanied by music artists, mostly instrumental music experts. Since many centuries, dance and music have had deeply religious roots. Now also, many musicians sing religious and divine songs.

The singers and musicians from India are especially recognized for the many years of training they undertake and for the fact that music is a passion and it is worship for them. Hindi instrumental music is better known than songs with lyrics. It is because they can be appreciated by a wider audience, from any country, without the barriers of language. The soulful instrumental music from India appeals to people in many countries. The tunes, the ragas, the play of sound, are all very magical and mystical.

Hindustani classical music has been an important and integral aspect of the Indian culture and tradition which has grown from the 12th century. The music culture in India is said to be the oldest musical culture present. The starting point of music in India is said to be right from the time of Vedas. Many breathtaking instruments are linked with Indian music. The veena, sitar, sarod, santoor, sarangi, bansuri, shehnai, table, dholak are some of the musical instruments belonging from India, which have gained respect worldwide. Asad Ali Khan, Bismillah Khan, Amjad Ali Khan, Hariprasad Chaurasia, Sultan Khan, Zakir Hussain, Vishwa Mohan Bhatt, Ravi Shankar, Vilayat Khan are some of the illustrious artists who have created a mark for themselves and the country.

FIFA end Cameroon exile

Cameroon have been welcomed back to the world of international football after FIFA lifted their competitive ban on Monday.

The Cameroon Football Association were on July 4 excluded from all international action due to the country’s government becoming involved in the running of the national team.

The news came as a massive blow to the Indomitable Lions as they were in danger of missing out on playing their final 2014 World Cup qualifier, where they will meet Libya to decide who goes through from the group stages.

However, coach Volker Finke’s men will now be able to defend their top-spot in Group I after FIFA confirmed the ban had been lifted.

A statement from world football’s governing body read: “FIFA passed a decision (Monday), 22 July 2013, to lift the suspension of the Cameroonian Football Association (FECAFOOT) given that the conditions previously set have been met.

“As requested by the FIFA Emergency Committee, the normalisation committee that was appointed on 20 July 2013 was able to take up its duties this Monday, 22 July 2013, at the FECAFOOT headquarters, with FIFA and CAF observers present.

“The lifting of the suspension means that FECAFOOT’s clubs, officials and other representatives can immediately resume their activities, which had been interrupted. The same applies for the resumption of the courses and various programmes provided by FIFA, CAF and other member associations.

“FIFA and CAF will continue to closely monitor the situation, particularly in relation to the revision of the FECAFOOT statutes.”

Commercial Property Finance Buy Property At Low Cost Funds

You wish to invest in a commercial property or acquire property for expending business, but own sources are insufficient or simply do not want to use them for their usages. This is where commercial property finance becomes instrumental in buying a commercial property. Hotels, motels, pubs, warehouses, nursing homes, shopsthere is a never ending list of property

Commercial property finance is essentially a secured finance as huge amount is at stake. The lender usually secure the finance offer by taking in possession the deal papers of the vary property the loan seeker intends to buy. The papers are returned back to the owner at the time of complete pay off the loan. The borrower meanwhile can use the property.

Interest rate on commercial property finance is kept lower which has enabled the aspirants in buying properties and the property business has been booming. But the rate of interest depends also on the type of the property. Lenders usually like to offer finance more for a property which is already generating income. This secures the loan even more and therefore lender may consider reducing interest rate further to keep the customer.

So you must be clear on the purpose of the loan. If you are buying a property or acquiring it, the lender may offer finance up to 80-90 percent of the property value. If refinance is the purpose then you can get additional cash from the value of the property. The lender clears the current mortgage note and balance amount is paid to the finance seeker. If getting finance for rebuilding real estate is the purpose, the lender will give finance on the base of completed property and its value.

Make sure that you choose right lender. While searching for the lender on websites see for the specialization of the lender. Usually lenders take particular field of property for finance offer so that they are focus and have a better understanding of its market aspects. If the lender knows your property well then he understands your financial needs better. He also understands the benefits and risks you are going to take in future. Your finance requirements may change from what they are at the time of finance deal. So the lender may be willing to offer you more finance in future if you choose the right one who understand your type of property.

Search extensively on internet for the different lenders of commercial property finance. Compare their interest rates and terms-conditions to arrive at suitable lender. Apply for the finance online for fast approval of the finance.

Commercial property finance offers opportunity in taking low cost finance for owning property for commercial purposes. Go for the finance after careful consideration of its different aspects.

Interesting Professional Photography Techniques

In the field of photography, various professionals rely on selected techniques to perfect the pictures that they take before it is shot. In addition to the modern gadgets these days, anything is achievable as the manufactures always race against each other to take the stake as the best camera producers worldwide.

Then again, the camera unaided does not have an effect on the quality of the photos shot. Occasionally, the quality depends on more than that. Although most of the techniques and tricks that the experts utilize are gained with skill, here are various professional photography techniques that you might need to take note of before you go out there and set off clicking away!

Technique #1: Get rid of double chin!

Every so often, it is difficult to gauge whether your model has a double chin just by looking at your model. Yet, after analyzing more or less photos, you’ve discovered that your model has a double chin, and, sadly, you especially need a decent urgent shot of your model! Therefore, here’s a priceless method of getting rid of the double chins in your photos; no matter how severe it is. Have your model lift his/her head in front of your camera.

This means you will have to obtain a “ceiling shot” of the model. Doing so, your model lifts his/her head to look at the camera, and the extra skin will magically fade beneath your model’s chin. This gurantees that your model does not have to be indirectly insulted, and your photos will still come out perfect!

\Technique #2: How must photos be taken?

Professionally, pictures are constantly taken either in landscape view or portrait view never in diagonals. Which means, the only pictures you are only going to see completed in professional photography, are all either in portrait or landscape.

The reason being, when in diagonal, there is no real focus of the picture. Generally, people tend to spot the setting first, the center second and then the setting again. This reaction defeats the primary purpose of a portrait photography, as in a portrait, the center is the central focus of the picture, before the setting.

Landscapes pictures, when turned into diagonals, don’t look as professional anymore. Have you seen a photo of mountains, seas or even houses, in diagonal frames? No, since they are plainly, at the time of this article being written, not professional at all.

Technique #3: Create the feel!

Whilst occasionally, the models you use ought to be good in acting and “capturing the mood”, as a professional photographer, if you truly need good photos, you have to induce this air to your models, so they can be a better model for you.

For instance, when you are about to take a candid shot, make sure that they are being informal, in addition to not “performing to make it formal”. There is a massive difference in being something and acting it out. Another example is, when photographing a model, and you want him/her to smirk, make him/her laugh. That means, you will get the finest shot you want from that person, and do it like a pro!

While taking photos is something that you will need practice to explore enhanced techniques and playing around with the camera functions to see which works best (this is continually the case when one acquires a recent camera – its functions ought to be tested out to get the best photos). In actuality, every one of the professional photography techniques on hand are different; depending on the kind of camera, its functions, as well as the kind of photos and effects that you want your pictures to capture.

There is nothing more fulfilling than using all that you’ve learnt with professional photography techniques and departuringthere to shoot the best photos you’ve ever caught!

Turmeric Curcumin, MSM, DHA, EPA and Vitamins the Antioxidant and Ati Inflammatory Supplement

Turmeric is a perennial plant found in the ginger family also referred to as Curcuma Longa. The dried roots and stock of this plant is the source of the orange and yellow flavor that is typically utilized in conventional Indian food preparation, in addition to Middle Eastern cuisine and most significantly curry. It’s the active component in turmeric that can take credit for the flavors intense, rich color, and all of it’s wonderful health advantages. The active ingredient that is very effective and adds an unique taste to food is referred to as curcumin.

Curcumin is the primary biologically active phytochemical substance of Turmeric. Curcumin is drawn out and researched for its distinguished range of health-related and disease-preventing medical homes. Molecular chemical formula of Curcumin.

Suppliers of turmeric based supplements thought of different variations intending to accomplish the expanding need. Among such latest supplement is supplied by New Horizon Supplements brand. This unique supplement consists of Turmeric Curcumin C3 Complex with BioPerine , fish oil omega 3 fatty acids (EPA and DHA), MSM(Methylsulfonylmethane) and Vitamins (C, B6 and B12).

Curcumin C3 Complex provides the 3 active curcuminoids(Curcumin, Demethoxycurcumin and Bisdemethoxycurcumin) found in turmeric which is standardized to 95 percent curcuminoids for high purity and concentration. It consists of Bioperine, a black pepper extract that promotes absorption of nutrients in the digestive system for easy bioavailability.

2 Capsules recommended daily dose of this supplement consists of 1000 milligrams proprietary blend (Turmeric Curcumin C3 Complex, MSM, EPA, DHA), Vitamins (B6, B12, C), and BioPerine.

MSM (Methylsulfonylmethane) EPA (Eicosapentaenoic Acid) and DHA (Docosahexaenoic) are popular nutritional supplement by their own right with significant health benefits. This carefully developed turmeric based supplement makes taking numerous different supplements unneeded.

Fish oil omega 3 fatty acids, Eicosapentaenoic acid and docosahexaenoic acid, or EPA and DHA are important for body to work at the ideal level. MSM is understood to help with building muscles and could cause the physical body’s all-natural capacity to burn fats. It could be made use of with like make a healthier physical body that you will absolutely really feel more comfortable with. MSM (Methylsulfonylmethane) has some anti-inflammatory homes and could be made use of to soothe joint pains. It could control soreness in lots of components of the physical body. It could enhance respiratory problems. Vitamins B6, 12, and C are also important nutrients needed in everyday basis.

Advantages

– Powerful antioxidant that can help safeguard cells from free radical damage.
– Assists maintain a healthy inflammatory feedback.
– Assists to maintain a healthy liver
– Strong pain relief for joints, back, rheumatoid arthritis and other chronic conditions
– Promotes heart health
– Boosts brain function
– It is an Anti-Aging supplement
– Supports digestive system function