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Sum of reciprocal of squares <Logic>
- Thread starter icystrike
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- Logic Reciprocal Squares Sum
In summary, the conversation is about a user seeking help with their proof on a forum. They asked for assistance and later updated that they have managed to successfully prove what they were trying to.
- #2
Mark44
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What are you trying to prove? The image link above seems to be broken.icystrike said:
icystrike said:I think my proof is lousy and may be wrong.
Please help me with it (=
Thanks in advance
Homework Equations
My proof is of below.
The Attempt at a Solution
- #3
icystrike
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thanks mark! I've manage to proof it (+
Related to Sum of reciprocal of squares <Logic>
1. What is the formula for calculating the sum of reciprocal of squares?
The formula for calculating the sum of reciprocal of squares is sum = 1/1^2 + 1/2^2 + 1/3^2 + ... + 1/n^2, where n is the number of terms in the series. This formula is derived from the general summation formula for a geometric series.
2. Why is the sum of reciprocal of squares important in logic?
The sum of reciprocal of squares is important in logic because it is used to evaluate the convergence of certain infinite series, such as the Basel problem. It is also used in mathematical proofs and calculations involving infinite series and limits.
3. How is the sum of reciprocal of squares related to the concept of divergence?
The sum of reciprocal of squares is related to the concept of divergence because if the series does not converge, then it diverges. In other words, if the sum of reciprocal of squares does not have a finite value, then the series diverges.
4. Can the sum of reciprocal of squares be negative?
No, the sum of reciprocal of squares cannot be negative. The terms in the series are always positive, and as more terms are added, the value of the sum approaches a positive value, but never reaches a negative value.
5. How is the sum of reciprocal of squares used in real-world applications?
The sum of reciprocal of squares is used in various real-world applications, such as calculating the electric field strength at a point due to a charged ring, or determining the force between two point charges. It is also used in physics and engineering to calculate the total resistance or capacitance in a circuit.
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