Friday, March 5, 2010

MULTINOMIAL FORMULA


BINOMIAL FORMULA

for n=1,2,3,...

EASY 20*20 MULTIPLICATION

In just FIVE minutes you should learn to quickly multiply up to 20x20 in your head. With this trick, you will be able to multiply any two numbers from 11 to 19 in your head quickly, without the use of a calculator.
I will assume that you know your multiplication table reasonably well up to 10x10.

Try this:
Take 15 x 13 for an example.
Always place the larger number of the two on top in your mind.
Then draw the shape of Africa mentally so it covers the 15 and the 3 from the 13 below. Those covered numbers are all you need.
First add 15 + 3 = 18
Add a zero behind it (multiply by 10) to get 180.
Multiply the covered lower 3 x the single digit above it the "5" (3x5= 15)
Add 180 + 15 = 195.

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10 SUCCESS SECRETS

1. Think success. To attain the kind of success that you want, you need to dream big. Every success story starts with big dreams. You need to have big dreams for yourself - which you want to be somebody rich, famous or fulfilled. You need to have a clear vision of what you want to achieve. But it doesn't stop in dreaming alone. You should actively visualize success in your mind that you can almost feel it, touch it or it is within your reach. Play this image back at every opportunity. What does it feel to triple your current income? How will your life change? What will your business look like if you achieved the million-dollar mark?

Successful entrepreneurs possess an attitude of openness and faith that you can have what you want if you can simply envision it as the first step on the path of action to acquiring it. Management gurus have taught us the power of visualization - seeing yourself in your mind as having accomplished your dreams. If you want to be a successful writer, envision yourself signing books for a throng of people who have lined up to have your autograph. If you want to be rich, picture yourself in luxurious surroundings holding a fat bank account. And the process of envisioning success for you should be a constant activity! You need to think that you are successful (or will be one) every single waking hour. A personal development coach shared me her secret to help her continuously visualize her goals for the moment: when climbing stairs, recite your goal with every step you take. So if you want more money, say "I will have money" in every step of the stairs. This technique will reinforce your goal and keep it fresh in your consciousness.

2. Be passionate with what you do. You start a business to change any or all part of your life. To attain this change, you need to develop or uncover an intense, personal passion to change the way things are and to live life to the fullest. Success comes easily if you love what you do. Why? Because we are more relentless in our pursuit of goals about things that we love. If you hate your job right now, do you think you will ever be successful at it? Not in a million years! You may plod along, even become competent at the tasks, but you will never be a great success at it. You will achieve peak performance and do what you have to do to succeed only if you are doing something that interests you or something that you care about. Entrepreneurs who succeed do not mind the fact that they are putting in 15 or 18 hours a day to their business because they absolutely love what they do. Success in business is all about patience and hard work, which can only be attained if you are passionate and crazy with your tasks and activities.

3. Focus on your strengths. Let's face it; you cannot be everything to everybody. Each of us has our own strengths and weaknesses. To be effective, you need to identify your strengths and concentrate on it. You will become more successful if you are able to channel your efforts to areas that you do best. In business, for example, if you know you have good marketing instincts, then harness this strength and make full use of it. Seek help or assistance in areas that you may be poor at, such as accounting or bookkeeping. To transform your weakness to strength, consider taking hands-on learning or formal training.

4. Never consider the possibility of failure. Ayn Rand, in her novel The Fountainhead, wrote, "It is not in the nature of man - nor of any living entity, to start out by giving up." As an entrepreneur, you need to fully believe in your goals, and that you can do it. Think that what you are doing will contribute to the betterment of your environment and your personal self. You should have a strong faith in your idea, your capabilities and yourself. You must believe beyond a shadow of a doubt that you have the ability to recognize and fulfill them. The more you can develop faith in your ability to achieve your goals, the more rapidly you can attain it. However, your confidence should be balanced with calculated risks that you need to take to achieve greater rewards. Successful entrepreneurs are those who analyze and minimize risk in the pursuit of profit. As they always say, "no guts, no glory."

5. Plan accordingly. You have a vision, and you have enough faith in yourself to believe that you can achieve your vision. But do you know how to get to your vision? To achieve your vision, you need to have concrete goals that will provide the stepping-stone towards your ultimate vision. Put your goals in writing; not doing so just makes them as intangible fantasies. You need to plan each day in such a way that your every action contributes to the attainment of your vision. Do you foresee yourself as the next Martha Stewart of hand-made home furnishings? Perhaps today, you need to see an artist to help you conceptualize the new line of hand-made linens that you hope to launch. Intense goal orientation is the characteristic of every successful entrepreneur. They have a vision, and they know how to get there. Your ability to set goals and make plans for your accomplishment is the skill required to succeed. Plan, plan and plan - because without which failure is guaranteed.

6. Work hard! Every successful entrepreneur works hard, hard and hard. No one achieves success just by sitting and staring at the wall every single day. Brian Tracy puts it out this way, "You work eight hours per day for survival; everything over eight hours per day is for success." Ask any successful businessperson and they will tell you immediately that they had to work more than 60 hours per week at the start of their businesses. Be prepared to say goodbye to after-office drinks every day, or a regular weekend get-away trip. If you are in a start-up phase, you will have to breathe, eat and drink your business until it can stand on its own. Working hard will be easy if you have a vision, clear goals, and are passionate with what you do.

7. Constantly Look for Ways to Network. In business, you are judged by the company you keep - from your management team, board of directors, and strategic partners. Businesses always need assistance, more so small businesses. Maybe the lady you met in a trade association meeting can help you secure funding, or the gentleman at a conference can provide you with management advise. It is important to form alliances with people who can help you, and whom you can help in return. To succeed in business, you need to possess good networking skills and always be alert to opportunities to expand your contacts.

8. Willingness to Learn. You do not need to be a MBA degree holder or PhD graduate to succeed in your own business. In fact, there are a lot of entrepreneurs who did not even finish secondary education. Studies show that most self-made millionaires have average intelligence. Nonetheless, these people reached their full potentials achieved their financial and personal goals in business because they are willing to learn. To succeed, you must be willing to ask questions, remain curious, interested and open to new knowledge. This willingness to learn becomes more crucial given the rapid changes in technologies and ways of doing business.

9. Persevere and have faith. No one said that the road to success is easy. Despite your good intentions and hard work, sometimes you will fail. Some successful entrepreneurs suffered setbacks and resounding defeats, even bankruptcy, yet managed to quickly stand up to make it big in their fields. Your courage to persist in the face of adversity and ability to bounce back after a temporary disappointment will assure your success. You must learn to pick yourself up and start all over again. Your persistence is the measure of the belief in yourself. Remember, if you persevere, nothing can stop you.

10. Discipline yourself. Thomas Huxley once said, "Do what you should do, when you should do it, whether you like it or not." Self-discipline is the key to success. The strength of will to force yourself to pay the price of success - doing what others don't like to do, going the extra mile, fighting and winning the lonely battle with yourself.

10 TIPS FOR TEAM MANAGEMENT

#1: Focus on results and productivity and not the time clock

When you manage salaried knowledge workers, you should almost never have rigid clock-in/clock-out times unless there is a coverage issue in relation to serving customers (e.g., maintaining adequate help desk coverage during call hours). Instead, set clear goals that you know should take your employees about 40 hours/week to accomplish. Require that they show up on time for important meetings and are available during the team's general working hours. Provide them with the tools to access their work remotely, when needed. Then let them manage their own time. This sends the message that you trust your employees. If you've got people you don't trust, that's another issue. Manage them up until you do trust them or manage them out to their next opportunity.

#2: Align people with the stuff they are good at

Make sure you have the right people in the right seats. This is especially true if you take over the management of a team that is already in place. Take stock of all the talents you have on the team and reshuffle the deck if it means that your team has a better chance of success. Don't keep someone in a job role just because they've been doing it for long time if you truly think their talents are better suited and could make a bigger contribution in another role. Employees might be reluctant to move in a case like this, so you may need to work hard to convince them that the change is in their best interest, as well as the best interest of the company.

#3: Align people with the projects they are passionate about

Another part of getting people in the right seats is finding what your employees are genuinely passionate about and seeing if they are ways to align them with job roles that let them channel some of that passion. Occasionally, that can mean putting someone in an area where they don't have much experience. But if their previous work history makes you think they can succeed in that role, it's usually worth it because their passion will fuel a strong desire to learn and grow. Once they're up to speed, that passion can become a strong driver of innovation and growth.

#4: Put your best performers on your biggest opportunities

When you have a big opportunity that could propel your organisation forward, you need to step back and think about who is the best person to lead the charge. In addition to finding someone who has the talent for the work involved or who has a passion for the subject matter, you need to look at who has a track record of success. Big opportunities come around only once in a while, and they can be lost. So even if it means taking someone off something important, you should always put your best performers on your biggest opportunities.

#5: Find the balance between aggressive and realistic goals

Create a culture of performance by setting aggressive goals and holding your employees accountable for regularly reporting on their progress. However, the goals can't be so aggressive that your employees quickly fall behind and feel like they can never realistically achieve them. Otherwise, they will quit stretching to reach the goals. That means that you have to regularly re-evaluate the goals (at least on a quarterly basis) to decide whether they need to be scaled down or scaled up.

#6: Trust your people -- and let them know it

Knowledge workers typically have jobs that require creative solutions and decision-making. They need to stay sharp mentally to achieve top performance. The onus is on management to create an atmosphere that fosters and encourages that kind of creativity. One of the best things you can do is to let your employees know that you trust them and that you have faith in their ability to do the job, solve the problem, and/or meet the deadline. If you don't trust them, again, you need to manage them up or manage them out.

#7: Avoid blame (a.k.a. throwing people under the bus)

In any business (or organisational enterprise), there are going to be times when you fail, and there will be things that simply don't pan out the way you had hoped. Do a post-mortem (even if it's informal) to figure out what went wrong and learn from it. If there were egregious errors made by individuals, deal with them privately. If necessary, let the person know your expectations for how this should be handled in the future. Don't publicly blame individuals -- either directly or indirectly -- in meetings or team e-mails. If you do, you risk creating an atmosphere in which people are so afraid to make mistakes that they don't spend enough time doing the proactive and creative work necessary to avoid future problems -- or more important, to drive new innovations.

#8: Foster innovation by killing projects the right way

Another important part of fostering innovation is knowing how to kill projects effectively and gracefully. There are times when failed initiatives will expose the weaknesses of certain employees, but there are plenty of times when you have good employees working on projects that simply don't pan out. Figuring out the difference between those two scenarios is part of becoming a good manager. If it's a good person on a bad project, the person who was running the project isn't any less talented because the project didn't materialise. So make sure you use the project as a learning experience and reassign the person to something new without excessive hand-wringing. Otherwise, you will make your employees overly risk-averse, and they will be reluctant to jump into the next big project or to make bold moves when managing the project. That type of atmosphere can quickly stifle progress.

#9: Don't provide all the answers -- make your employees think

You are the manager. You are the leader. That does not mean that you have a monopoly on all of the good ideas. If your employees are hesitant to make decisions without asking your opinion first, you haven't properly empowered them. If your employees aren't making enough of their own decisions, you should change your tactics. When they present you with information and ask what to do about a situation, push the ball back into their court and ask them, "What do you think?" They might be surprised at first, but after you do that several times, they'll start thinking it through before they come to you so that they're fully prepared to discuss the matter and make a recommendation. That's a good thing, because they're usually closer to the customer and more familiar with the details of the work. You need their opinions. And you need them to make some of their own decisions.

#10: Build consensus by letting people know "why"

One of your key responsibilities in management is communicating about new initiatives and strategy changes. The worst thing you can do is surprise your staff members with a fully formed idea about a new way to do something that will drastically alter their day-to-day work. When you spring it on them, people will naturally be defensive and skeptical. Whenever possible, give people an informal heads-up that a change is coming and let them know some of the reasoning involved. They will be glad you kept them in the loop. If they don't agree with the reasoning, they can express their dissent. They might even bring up a caveat or a gotcha that should be considered before the final plan is solidified. An even better course of action is to have a brainstorming session with your team when you are still formulating a new idea or strategy change, so you can gather their ideas and feedback. You may sometimes have to spring something on your team, but make sure that you limit those occasions. Even then, take the time to let them know the reasoning behind the decision.

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