## 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:**

- past experience of similar situations.
- logical deduction from the facts.
- other people.
- published sources.
- creative idea generation techniques.

## How do you find solutions to problems?

**8 steps to problem solving**

- Define the problem. What exactly is going on? …
- Set some goals. …
- Brainstorm possible solutions. …
- Rule out any obvious poor options. …
- Examine the consequences. …
- Identify the best solutions. …
- Put your solutions into practice. …
- How did it go?

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

**Six step guide to help you solve problems**

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

- 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. …
- Step 2: Generate potential solutions. …
- Step 3: Choose one solution. …
- Step 4: Implement the solution you’ve chosen. …
- 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.