Loeschian number
Today, kiddo, we're going to talk about something called the Loeschian number. It's a big, fancy math concept, but I'm going to try to explain it to you in a way that even a 5-year-old can understand!
So, let's say we have a big group of numbers. We're going to call that group a "sequence." The Loeschian number is a special number that tells us something about that sequence.
The first thing we need to do is find the "subsequences" within our big sequence. A subsequence is just a smaller piece of the big sequence that follows a certain pattern. For example, let's say our big sequence is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. One of the subsequences within that big sequence could be 1, 4, 7, 10. Do you see the pattern there? We're adding 3 to each number to get to the next one.
Now, we take all those subsequences that we found and we add up the numbers in each one. So, for example, if we found two subsequences: 1, 4, 7, 10 and 2, 5, 8. The first subsequence adds up to 22, and the second one adds up to 15.
Finally, we look at all those sums that we just found and we find the lowest one. That lowest sum is the Loeschian number for our big sequence!
Now, why is this important? Well, the Loeschian number can tell us something about the properties of that sequence. For example, if the Loeschian number is really small compared to the size of the sequence, that might mean that there are a lot of patterns and regularities within that sequence. On the other hand, if the Loeschian number is really big, it might mean that the sequence is really "random" and doesn't follow any particular pattern.
So there you have it, kiddo! The Loeschian number is a special number that tells us something about the patterns within a sequence of numbers. It's not always easy to find, but it can be really helpful in understanding the behavior of those numbers.
So, let's say we have a big group of numbers. We're going to call that group a "sequence." The Loeschian number is a special number that tells us something about that sequence.
The first thing we need to do is find the "subsequences" within our big sequence. A subsequence is just a smaller piece of the big sequence that follows a certain pattern. For example, let's say our big sequence is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. One of the subsequences within that big sequence could be 1, 4, 7, 10. Do you see the pattern there? We're adding 3 to each number to get to the next one.
Now, we take all those subsequences that we found and we add up the numbers in each one. So, for example, if we found two subsequences: 1, 4, 7, 10 and 2, 5, 8. The first subsequence adds up to 22, and the second one adds up to 15.
Finally, we look at all those sums that we just found and we find the lowest one. That lowest sum is the Loeschian number for our big sequence!
Now, why is this important? Well, the Loeschian number can tell us something about the properties of that sequence. For example, if the Loeschian number is really small compared to the size of the sequence, that might mean that there are a lot of patterns and regularities within that sequence. On the other hand, if the Loeschian number is really big, it might mean that the sequence is really "random" and doesn't follow any particular pattern.
So there you have it, kiddo! The Loeschian number is a special number that tells us something about the patterns within a sequence of numbers. It's not always easy to find, but it can be really helpful in understanding the behavior of those numbers.