这是ucdavis ECS20 离散数学课程的一份作业代写案例Recall from our syllabus all of the following. That your homework must be turned in with Gradescope, one problem per page, with $E T_{E} X$ typesetting strongly recommended. Recall that you may work with zero or one partners. In the latter case, you turn in a single assignment for the two of you, entering both names into Gradescope. Also remember that if you get ideas from anyone other than your named partner, your professor, or a TA, you need to acknowledge them. And recall that any use of old problem-set solutions constitutes academic misconduct.
数学代写|ECS20 Discrete Mathematics assignment 1

Problem 1.

Typeset (a)-(e) exactly as they appear below (apart from font size or the location of line breaks, which I don’t care about). All the $E \mathrm{~T}{\mathrm{E}} \mathrm{X}$ you need will be covered in the first discussion section. Useful LaTeX commands: \emph, \phi, \backslashmathbb, \backslashsum, \frac, \backslashlog, \backslashin, \backslashsubseteq, \backslashneg, \land, \backslashlor, and \backslashoverline. Note: this problem assumes you are using $L A T E X$. If you are not, approximate what you see with some alternative tool, or write it by hand and scan it along the other three problems. (a) A truth assignment for an $n$-variable formula $\phi$ is a function $t$ from the variables appearing in $\phi$ to the set of boolean values $\mathbb{B}={0,1}$. There are $2^{n}$ possible truth assignments for an $n$-variable formula-a function that grows extremely rapidly. (b) The fact that $\sum{i=1}^{n} 2^{i}=2^{n+1}-1$ follows from the representation of numbers in binary.
(c) We can give multiple proofs that
$$
\sum_{k=1}^{n}=\frac{k(k+1)}{2}
$$
(d) Is it true that $1+1 / 2+1 / 3+\cdots+1 / n \in O(\log n) \subseteq O(n) ?$
(e) One of De Morgan’s laws says that $\neg(P \wedge Q)=\neg P \vee \neg Q$. But is it prettier to write it $\overline{P Q}=\bar{P} \vee \bar{Q}$ ?

Problem 2.

A We write $P \rightarrow Q$ to mean $\neg P \vee Q$. Make truth tables for $A \rightarrow(B \rightarrow C)$ and for $(A \rightarrow B) \rightarrow C$. Are these formulas equivalent?

Problem 3.

How many paths are there from vertex $A$ to vertex $I$ such that, as one walks the indicated path, the letter-names of the vertices keep increasing? For example, ABCFI is a valid path, but ADFGHI and ABCGFI are not.

How many paths are there from vertex A to vertex

(Note: The color of an edge has no significance; I just got carried away coloring. Edges that cross one another are distinct; you can’t go from one to another.)

画一个2D的图即可

数学代写|ECS20 Discrete Mathematics assignment 1代写 认准UpriviateTA

real analysis代写analysis 2, analysis 3请认准UprivateTA™. UprivateTA™为您的留学生涯保驾护航。

抽象代数Galois理论代写

偏微分方程代写成功案例

代数数论代考

概率论代考

离散数学代写

集合论数理逻辑代写案例

时间序列分析代写

离散数学网课代修

ECS20.A – Discrete Mathematics for Computer Science – Winter 2022

Announcements (page last updated 03/01/2022 at 3pm)

  • It’s March—and week-9. How on earth did that happen?
  • Q3 was not good. I will go over it in a special online session tomorrow, Wednesday, at 7pm.
  • I postponed Q4 to Monday. Your last quiz. It will be open 7am-7pm. Administered once again on Gradescope.

Course information

Services we use

  • Canvas – Recorded lectures and more
  • Piazza – For questions and announcements
  • Gradescope – To turn in homework
  • Overleaf – To typeset your homeworks and, optionally, to collaborate on them
  • zyBook – S. Irani
  • Discord page – Like Piazza, but run by students

Problem sets

Exams and practice exams

Similar classes

Books

Writing

LaTeX

Further resources