- #1
JDude13
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How do I notate this:
[tex]\Lambda_{1}+\Lambda_{2}+\Lambda_{3}+\ldots+\Lambda_{n}=1[/tex]
using sigma notation?
[tex]\Lambda_{1}+\Lambda_{2}+\Lambda_{3}+\ldots+\Lambda_{n}=1[/tex]
using sigma notation?
Sigma Notation for Λ1 + Λ2 + Λ3 +...+ Λn = 1
- Thread starter JDude13
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- Notation Sigma Sigma notation
In summary, the conversation discusses the use of sigma notation to represent the equation \Lambda_{1}+\Lambda_{2}+\Lambda_{3}+\ldots+\Lambda_{n}=1 and how to input it into a TI-nspire CAS calculator. The experts agree that the notation \sum_{k=1}^n{\Lambda_k}=1 is the correct way to represent it, with the placeholder letter being interchangeable. They also share their personal preferences for placeholder letters, mentioning "i" and "Fred" as examples.
- #2
mathman
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Sigma (k=1,n) lambdak = 1
- #3
- 22,183
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mathman is correct, but here is the TeXed version:
[tex]\sum_{k=1}^n{\Lambda_k}=1[/tex]
[tex]\sum_{k=1}^n{\Lambda_k}=1[/tex]
- #4
JDude13
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I had a guess which was exactly the same as yours except with an "i" instead of a "k".
It's not important but... Was I right?
Also; does anyone know how to imput this into a TI-nspire CAS calculator (I can't get the subscript thing to work)?
It's not important but... Was I right?
Also; does anyone know how to imput this into a TI-nspire CAS calculator (I can't get the subscript thing to work)?
- #5
gb7nash
Homework Helper
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JDude13 said:
It doesn't matter what letter you use. It's just a placeholder. You could put puppy there if you wanted.
- #6
HallsofIvy
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Good one. I always say "Fred". No idea why!gb7nash said:It doesn't matter what letter you use. It's just a placeholder. You could put puppy there if you wanted.
- #7
JDude13
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Hurrah! I'm not entirely useless!
What is Sigma Notation for Λ1 + Λ2 + Λ3 +...+ Λn = 1?
Sigma Notation, also known as summation notation, is a way to represent a sum of terms in a concise and standardized manner. It is expressed using the Greek letter sigma (Σ) followed by the expression to be summed, with the index variable below and the limits of the index above. In this case, Λ1 + Λ2 + Λ3 +...+ Λn = 1 can be represented as ΣΛi = 1, where i is the index variable.
What is the purpose of using Sigma Notation for Λ1 + Λ2 + Λ3 +...+ Λn = 1?
The purpose of using Sigma Notation is to simplify and generalize expressions that involve sums. It allows for a more compact and efficient representation of large sums, which can be useful in various mathematical and scientific applications.
How do you evaluate a Sigma Notation expression for Λ1 + Λ2 + Λ3 +...+ Λn = 1?
To evaluate a Sigma Notation expression, you need to substitute the values of the index variable into the given expression and sum up the resulting terms. For example, to evaluate ΣΛi = 1 for n = 5, you would substitute i = 1, 2, 3, 4, 5 into Λi and then sum up the resulting terms Λ1 + Λ2 + Λ3 + Λ4 + Λ5.
What are the limits of the index variable in Sigma Notation for Λ1 + Λ2 + Λ3 +...+ Λn = 1?
The limits of the index variable in Sigma Notation can vary depending on the specific problem or application. In general, the lower limit is the starting value of the index variable and the upper limit is the final value. For example, if the expression is ΣΛi = 1 and n = 5, then the lower limit would be i = 1 and the upper limit would be i = 5.
What are some common applications of Sigma Notation for Λ1 + Λ2 + Λ3 +...+ Λn = 1?
Sigma Notation is commonly used in various branches of mathematics, such as calculus, statistics, and discrete mathematics. It is also widely used in scientific fields, such as physics, chemistry, and engineering, to represent and solve problems involving sums. For example, it can be used to calculate the area under a curve, the sum of a series, or the average of a set of data points.
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