# Is This Proof of Existence and a Solution to P=NP Problem?

## Is there a proof for P NP?

1: It is impossible to prove that P =NP in the deterministic or time inde- pendent framework of Mathematics.

## Has the P vs NP problem been solved?

Although one-way functions have never been formally proven to exist, most mathematicians believe that they do, and a proof of their existence would be a much stronger statement than P ≠ NP. Thus it is unlikely that natural proofs alone can resolve P = NP.

## What would happen if someone proved P NP?

Proving that NP=P. would not magically make them faster. The known algorithms would still be non-polynomial, we would just know that there are other (deterministic) algorithms that run in polynomial time.

## How many good solutions exist to a problem?

Life’s problems come in all shapes and sizes, and yet did you know that there are generally only 4 possible solutions to anything life throws at you? Once you know the 4 possible options, choosing how to move forward becomes easier.

## How are P and NP problems related?

NP is set of problems that can be solved by a Non-deterministic Turing Machine in Polynomial time. P is subset of NP (any problem that can be solved by deterministic machine in polynomial time can also be solved by non-deterministic machine in polynomial time) but P≠NP.

## Do solutions exist?

We’ve been acting as though just by specifying an initial condition, there must be a solution, and it must be unique (that is, the only one corresponding to that initial condition). And, in fact, this is typically true for any “nice” differential equation.

## How do you find possible solutions?

There are basically five sources of ideas for solving a problem and you should use as many of them as possible:

1. past experience of similar situations.
2. logical deduction from the facts.
3. other people.
4. published sources.
5. creative idea generation techniques.

## How do you find solutions to problems?

8 steps to problem solving

1. Define the problem. What exactly is going on? …
2. Set some goals. …
3. Brainstorm possible solutions. …
4. Rule out any obvious poor options. …
5. Examine the consequences. …
6. Identify the best solutions. …
7. Put your solutions into practice. …
8. How did it go?

## How do you explain a problem and a solution?

Six step guide to help you solve problems

1. Step 1: Identify and define the problem. State the problem as clearly as possible. …
2. Step 2: Generate possible solutions. …
3. Step 3: Evaluate alternatives. …
4. Step 4: Decide on a solution. …
5. Step 5: Implement the solution. …
6. Step 6: Evaluate the outcome.

## What are the 7 steps to problem-solving?

Effective problem solving is one of the key attributes that separate great leaders from average ones.

• Step 1: Identify the Problem. …
• Step 2: Analyze the Problem. …
• Step 3: Describe the Problem. …
• Step 4: Look for Root Causes. …
• Step 5: Develop Alternate Solutions. …
• Step 6: Implement the Solution. …
• Step 7: Measure the Results.

## What are the 5 steps to problem-solving?

5 Steps to Better Problem-Solving

1. Step 1: Identify the Problem. As obvious as it may sound, the first step in the problem-solving process is to identify the root of the issue. …
2. Step 2: Generate potential solutions. …
3. Step 3: Choose one solution. …
4. Step 4: Implement the solution you’ve chosen. …
5. Step 5: Evaluate results.

## How a teacher can develop problem-solving skills in students give five examples?

Principles for teaching problem solving

• Model a useful problem-solving method. Problem solving can be difficult and sometimes tedious. …
• Teach within a specific context. …
• Help students understand the problem. …
• Take enough time. …
• Ask questions and make suggestions. …
• Link errors to misconceptions.

## What is process in problem-solving example?

The problem solving process typically includes: Pinpointing what’s broken by gathering data and consulting with team members. Figuring out why it’s not working by mapping out and troubleshooting the problem, and. Deciding on the most effective way to fix it by brainstorming and then implementing a solution.

## Can you give an example of your problem-solving ability?

Example: “When I’m faced with a problem, I typically start by doing research or looking at examples of how this problem has been solved by others. From that research, I’m able to decide which approach to solving the problem works best for me and the organization.