Introduction to Hidden Markov Models
... • Process moves from one state to another generating a sequence of states : si1 , si 2 ,, sik , • Markov chain property: probability of each subsequent state depends only on what was the previous state: ...
... • Process moves from one state to another generating a sequence of states : si1 , si 2 ,, sik , • Markov chain property: probability of each subsequent state depends only on what was the previous state: ...
Long division for integers
... particular step. Then the decimal digit for that step is the largest integer D so that 10L − bD < b. (This is the same as saying that bD is the largest multiple of b that is less than or equal to 10L.) Moreover, the leftover for the next step is given by 10L − bD. These are the only decimal digits a ...
... particular step. Then the decimal digit for that step is the largest integer D so that 10L − bD < b. (This is the same as saying that bD is the largest multiple of b that is less than or equal to 10L.) Moreover, the leftover for the next step is given by 10L − bD. These are the only decimal digits a ...
Student Edition
... c. Write a recursive formula and an explicit formula for the terms of this sequence. d. What would be the radius of the target if it had 25 rings? Show how you completed this problem using the explicit formula. e. In the past, you have studied both arithmetic and geometric sequences. What is the dif ...
... c. Write a recursive formula and an explicit formula for the terms of this sequence. d. What would be the radius of the target if it had 25 rings? Show how you completed this problem using the explicit formula. e. In the past, you have studied both arithmetic and geometric sequences. What is the dif ...
Waldman- The Fibonacci Spiral and Pseudospirals 12 August 2013
... = 16 and on the right, n = 32. Notice the ~2200-fold difference in the scale of these figures. The lower panels show details of the smaller-n region (~250-fold zoom); these demonstrate that the self-similarity does not extend to the lower n-values. Now, of course, the Binet functions can be analytic ...
... = 16 and on the right, n = 32. Notice the ~2200-fold difference in the scale of these figures. The lower panels show details of the smaller-n region (~250-fold zoom); these demonstrate that the self-similarity does not extend to the lower n-values. Now, of course, the Binet functions can be analytic ...
Sequence
In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is a countable totally ordered set, such as the natural numbers.For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6,...). In computing and computer science, finite sequences are sometimes called strings, words or lists, the different names commonly corresponding to different ways to represent them into computer memory; infinite sequences are also called streams. The empty sequence ( ) is included in most notions of sequence, but may be excluded depending on the context.