[PUBLISHER] upload files #170

* PUSH NOTE : 05. Lebesgue Integration.md

* PUSH NOTE : 04. Measurable Functions.md

* PUSH NOTE : 03. Measure Spaces.md

* PUSH NOTE : 02. Construction of Measure.md

* PUSH NOTE : Rules of Inference with Coq.md

* PUSH NOTE : 9. Public Key Encryption.md

* PUSH NOTE : 7. Key Exchange.md

* PUSH NOTE : 6. Hash Functions.md

* PUSH NOTE : 5. CCA-Security and Authenticated Encryption.md

* PUSH NOTE : 2. PRFs, PRPs and Block Ciphers.md

* PUSH NOTE : 14. Secure Multiparty Computation.md

* PUSH NOTE : 07. Public Key Cryptography.md

* PUSH NOTE : 06. RSA and ElGamal Encryption.md

* PUSH NOTE : 05. Modular Arithmetic (2).md

* PUSH NOTE : 03. Symmetric Key Cryptography (2).md

* PUSH NOTE : 02. Symmetric Key Cryptography (1).md

* DELETE FILE : _posts/Lecture Notes/Modern Cryptography/2023-10-19-public-key-encryption.md

* DELETE FILE : _posts/lecture-notes/modern-cryptography/2023-10-09-public-key-cryptography.md

_posts/Mathematics/Measure Theory/2023-02-06-measurable-functions.md

@@ -2,11 +2,16 @@
 share: true
 toc: true
 math: true
-categories: [Mathematics, Measure Theory]
-tags: [math, analysis, measure-theory]
-title: "04. Measurable Functions"
-date: "2023-02-06"
-github_title: "2023-02-06-measurable-functions"
+categories:
+  - Mathematics
+  - Measure Theory
+tags:
+  - math
+  - analysis
+  - measure-theory
+title: 04. Measurable Functions
+date: 2023-02-06
+github_title: 2023-02-06-measurable-functions
 image:
   path: /assets/img/posts/Mathematics/Measure Theory/mt-04.png
 attachment:
@@ -139,7 +144,7 @@ $$\begin{aligned}        \lbrace x \in X : F\bigl(f(x), g(x)\bigr) > a\rbrace =
 
 $$\chi_E(x) = \begin{cases}        1 & (x\in E) \\ 0 & (x \notin E).    \end{cases}$$
 
-참고로 characteristic function은 indicator function 등으로도 불리며, $\mathbf{1} _ E, K_E$로 표기하는 경우도 있습니다.
+참고로 characteristic function은 indicator function 등으로도 불리며, $\mathbf{1}_E, K_E$로 표기하는 경우도 있습니다.
 
 ## Simple Function
 
@@ -155,7 +160,7 @@ $$s(x) = \sum_ {i=1}^{n} c_i \chi_ {E_i}(x).$$
 
 여기서 $E_i$에 measurable 조건이 추가되면, 정의에 의해 $\chi_ {E_i}$도 measurable function입니다. 따라서 모든 measurable simple function을 measurable $\chi_ {E_i}$의 linear combination으로 표현할 수 있습니다.
 
-![mt-04.png](/assets/img/posts/Mathematics/Measure%20Theory/mt-04.png)
+![mt-04.png](../../../assets/img/posts/Mathematics/Measure%20Theory/mt-04.png)
 
 아래 정리는 simple function이 Lebesgue integral의 building block이 되는 이유를 잘 드러냅니다. 모든 함수는 simple function으로 근사할 수 있습니다.