Define a function below, sum_numeric_vals, which takes a single dictionary as a parameter. The dictionary has only strings for keys, but can have string or integer values.

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

Chloe is building a kiosk-based excel application. she wants to make some modifications to the screen elements in order to keep users from being distracted by parts of the application that are irrelevant to her application. she turns to henry for guidance as she knows he built a similar solution earlier this year.chloe has decided to hide the worksheet gridlines and the vertical scroll bar. what does henry tell her to use to do this? a) screen elements dialog boxb) display options dialog boxc) customization dialog boxd) excel options dialog box

Least square fit to polynomial write a function leastsquarefit3pol that solves a linear system of equations to find a least squares fit of a third order polynomial to an experimental data set given as two row arrays. the function leastsquarefit3pol must explicitly solve a set of linear equations and cannot use polyfit. there should be no restriction on the size of the problem that can be solved.