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No, a theorem does not become a definition after it is proven to be correct. A theorem is a statement that has been proven based on previously established statements, such as axioms and other theorems. In contrast, a definition is a precise explanation of the meaning of a term or concept. While both play crucial roles in mathematics, they serve different purposes: theorems establish truths, while definitions clarify concepts.
What else can I help you with?
Method to find an irrational number between two irrational numbers?
It is proven that between two irrational numbers there's an irrational number. There's no method, you just know you can find the number.
Can regular pentagon tessellate by themselves?
"yes"The answer above is incorrect. it was proven hundreds of years ago that regular pentagons do NOT tessellate. there are methods for tessellating pentagons, but they are not regularpentagons.yes the answer in the middle is write polygons can not tessellate
How do you solve sin x equals 6?
First, take the inverse sine of both sides of the equation. That gives you x = sin-1(6), which is sadly undefined...in reality, but who needs that! It can be proven that sin-1(x) = -i*log[i*x + √(1-x2)] So in this case: = -i*log[i*6 + √(1-36)] = -i*log[6*i + √(-35)] = -i*log(11.916*i) = 1.57 - 2.48*i
Every convergent sequence is bounded is the converse is true?
For the statement "convergence implies boundedness," the converse statement would be "boundedness implies convergence."So, we are asking if "boundedness implies convergence" is a true statement.Pf//By way of contradiction, "boundedness implies convergence" is false.Let the sequence (Xn) be defined asXn = 1 if n is even andXn = 0 if n is odd.So, (Xn) = {X1,X2,X3,X4,X5,X6...} = {0,1,0,1,0,1,...}Note that this is a divergent sequence.Also note that for all n, -1 < Xn < 2Therefore, the sequence (Xn) is bounded above by 2 and below by -1.As we can see, we have a bounded function that is divergent. Therefore, by way of contradiction, we have proven the converse false.Q.E.D.
What is the different between retention and performance bound?
Retention money is not a guarantee but holding 10 % from every progressive bill till the completion of the scope of work until take over certificate wherein 5 % is being released and balance 5 % shall be released either at the end of Defects liability period against Bank gaurantee as per Defects Liabaility clauses. Retention is taken only from subcontractors and not from suppliers engaged in that perticular projects.The main purpose is to ensure that each subcontractor works with their respective works without damaging other subcontractor works or equpments etc. which if proven can be recovered from the defualter subcontractor.For instance science student keep retention money to use lab so that while using if they accidently or intenetionally damage using instruments or other can be recovered from their retention money.Retention money is just holding money and does not need bank gaurantee is manadatory. Performance bond means bank guarantee for the subcontractor for their performance of their scope of work related to them as follows. 1.complying to 100 % specification 2.Timely completion of his scope of work 3.successful testing by 3rd party like fire testing ,u value testing mech. testing etc 4.The product should stand in its performance till defects liability period 5.The performance in brief is for product,installation,quality and timely completion and all related tests. If you are professional subcontractor all above bond shall not be in action as those cow boy sub contractor aspiring to take big projects inspite of knowing their own small capacity shall always be sceptic on such bond for misuse by main contractor. You may contact me at abdulmunim@emirates.net.ae
How does postulate becomes a theorem.?
When a postulate has been proven it becomes a theorem.
Can a theorem be proven using a corollary?
No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.
What is the definition of theorem?
Theorems are important statements that are proved.
Was the Pythagorean Theorem proven?
Oh yes, the Pythagorean Theorem has been proven.
What type of statement must be PROVEN in geometry?
That is a theorem.A theorem.
Is it true any hunch you have is a good as a scientific theory?
a theorem rather, it has to be proven to become an accepted theory.
Is it true that any hunch you have is a good as a scientific theory?
a theorem rather, it has to be proven to become an accepted theory.
What statement to a theorem can be proven easily using the theorem?
A corollary.
What is a conjecture that is proven?
theorem
What is a proven conjecture?
a theorem
How can you prove that this theory is correct?
In science, a theory is, by definition, proven and accepted as fact.
Is a proven theory still a theory?
No it would be a theorem if it was proven.
