Auto saved by Logseq

assets/section_2.3_1686916498071_0.edn

@@ -110,5 +110,17 @@
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                           :page 31},
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+               :page 32,
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+                          :page 32},
+               :content {:text "[:span]", :image 1686919183374},
                :properties {:color "yellow"}}],
  :extra {:page 32}}

logseq/bak/pages/hls__section_2.3_1686916498071_0/2023-06-16T12_39_58.149Z.android.md

@@ -0,0 +1,52 @@
+file:: [section_2.3_1686916498071_0.pdf](../assets/section_2.3_1686916498071_0.pdf)
+file-path:: ../assets/section_2.3_1686916498071_0.pdf
+
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logseq/bak/pages/hls__section_2.3_1686916498071_0/2023-06-16T12_39_58.150Z.android.md

@@ -0,0 +1,52 @@
+file:: [section_2.3_1686916498071_0.pdf](../assets/section_2.3_1686916498071_0.pdf)
+file-path:: ../assets/section_2.3_1686916498071_0.pdf
+
+- [:span]
+  ls-type:: annotation
+  hl-page:: 6
+  hl-color:: yellow
+  id:: 648c4e9e-5515-4da3-bc6b-39d6969f5f14
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+  hl-color:: yellow
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+  hl-color:: yellow
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+- [:span]
+  ls-type:: annotation
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+  hl-color:: yellow
+  id:: 648c57b6-225a-4926-9ce1-8d0e7aae1391
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logseq/bak/pages/总复习2023t1/2023-06-16T12_39_58.148Z.android.md

@@ -2609,6 +2609,8 @@
 		  CLOCK: [2023-06-03 Sat 16:47:39]--[2023-06-03 Sat 16:47:40] =>  00:00:01
 		  :END:
 			- LATER Mind map
+			  deck:: 2023t1/math
+			  collapsed:: true
 			  :LOGBOOK:
 			  CLOCK: [2023-06-16 Fri 15:00:23]--[2023-06-16 Fri 15:18:37] =>  00:18:14
 			  :END:
@@ -2693,28 +2695,57 @@
 						- ((648c2860-5454-45f1-80f8-1c85bce84fd1))
 						- ((648c290a-3532-4e56-8536-258daf7b00a7))
 					- Distribution Function
-					  collapsed:: true
 						- ((648c2970-9091-4f46-8745-b0c10cdeb832))
+						  collapsed:: true
 							- ((648c2994-36eb-44bf-8038-e49d2390a5b0))
 						- ((648c2a73-3961-4723-90e8-5f160bb18e0d)) ![section 2.2.pdf](../assets/section_2.2_1686907456219_0.pdf)
+						  collapsed:: true
 							- ((648c2a88-3d0f-47d2-be44-21df002a1def))
 							- ((648c2abf-5c5e-4af9-9e13-bb566f3206e8))
 							- ((648c2b26-e92d-43f7-b8e1-60b51a2b5268))
 						- Discrete type
+						  collapsed:: true
 							- Definition:  ((648c2be0-787e-4e1f-8d0c-b859f0d08383))
 						- Continuous type
+						  collapsed:: true
 							- ((648c2c54-b536-40ba-8191-ef1aeb2be0b9))
 					- ((648c2c9a-fcca-43e3-94a6-466f52131b48))
 						- ((648c2d05-82d4-472f-901c-b362852e2a3a))
 						- 换元的示例
+						  collapsed:: true
 							- ((648c2de1-d9a7-4760-bb4f-beec4b41102c))
-						-
+							- ((648c488f-85fa-4203-8092-07176b38fce9))
+						- 公式法 #flashcard
+						  collapsed:: true
+							- ((648c48ac-76be-4848-af0d-1532467c8d68))
+					- Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf)
+						- Expectation
+							- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
+							- Examples:
+							  collapsed:: true
+								- ((648c5298-fb84-4e9c-b816-7df1a7ad9a66)) #flashcard
+								  collapsed:: true
+									- ((648c52d9-ea03-4835-8080-52ba5e6c3122))
+							- Expectation of compound **functions**: (Expectation of Functions of a Random Variable) (Replace $$x$$ with $$g(x)$$) #flashcard
+							  collapsed:: true
+								- ((648c5381-49cd-4701-ba48-31c0e21474a7))
+							- Properties:
+							  collapsed:: true
+								- ((648c568e-c617-4699-b217-fd4e8ea205bc))
+								- Linerarity:
+								  ((648c569c-e3d0-445d-acf6-caf0e271f7be))
+						- Variance
+							- Definition:
+								- ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
+								-
+							-
 			- LATER 学积分
 			  :LOGBOOK:
 			  CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] =>  00:00:01
 			  CLOCK: [2023-06-03 Sat 21:07:06]--[2023-06-03 Sat 21:07:07] =>  00:00:01
 			  CLOCK: [2023-06-03 Sat 21:07:17]--[2023-06-03 Sat 21:07:18] =>  00:00:01
 			  :END:
+			- LATER Binomial coefficient
 			- LATER 写题（作业，对答案）
 			- LATER 总复习, 考试6.19，杰克6.8
 				- LATER 看完网课和串讲 [[Jun 17th, 2023]]

logseq/bak/pages/总复习2023t1/2023-06-16T12_39_58.149Z.android.md

@@ -1309,7 +1309,8 @@
 			- DONE past year exercise 1
 			- DONE past year exercise 2
 			- LATER past year exercise 3
-	- LATER [[产品开发]] {{renderer :todomaster}}
+	- DONE [[产品开发]] {{renderer :todomaster}}
+	  collapsed:: true
 	  SCHEDULED: <2023-06-16 Fri>
 		- ## 往年题考点
 			- ### Prototypes (2019) Topic 12-13
@@ -2601,8 +2602,160 @@
 								- process to take
 								- requirements to meet
 	- LATER 概率论 (隔了一个周末)
-	  collapsed:: true
 	  SCHEDULED: <2023-06-19 Mon>
-		- {{embed ((647bf024-41f1-45e7-afaf-f49026e826d6))}}
+		- LATER 概率论 {{renderer :todomaster}}
+		  id:: 647bf024-41f1-45e7-afaf-f49026e826d6
+		  :LOGBOOK:
+		  CLOCK: [2023-06-03 Sat 16:47:39]--[2023-06-03 Sat 16:47:40] =>  00:00:01
+		  :END:
+			- LATER Mind map
+			  deck:: 2023t1/math
+			  collapsed:: true
+			  :LOGBOOK:
+			  CLOCK: [2023-06-16 Fri 15:00:23]--[2023-06-16 Fri 15:18:37] =>  00:18:14
+			  :END:
+				- DONE Ch1
+				  collapsed:: true
+				  :LOGBOOK:
+				  CLOCK: [2023-06-16 Fri 15:31:10]--[2023-06-16 Fri 17:15:08] =>  01:43:58
+				  :END:
+					- Experiment, Sample Space and Random Event ![section 1.2.pdf](../assets/section_1.2_1686899993390_0.pdf)
+					- Events as Sets
+					- Definition of Classical Probability, Geometric Probability and Frequency ![section 1.3.pdf](../assets/section_1.3_1686900041785_0.pdf)
+					  collapsed:: true
+						- **Classical** if
+							- 1. E contains **only different limited basic** events, that is,
+							  $$ Ω = \{ω1 , ω2 , · · · , ωn \}. $$
+							  We call this kind of sample space simple space, and
+							  2. all outcomes are equally likely to occur.
+						- **Geometric** if
+							- (i) the sample space is a **measurable** (such as length, area,
+							  volume, etc.) region, i.e., $$0 < L(Ω) < ∞$$, and
+							- (ii) the probability of every event $$A ⊂ Ω$$ is proportional to the
+							  measure $$L(A)$$ and has nothing to do with its position and
+							  shape.
+						- The **Frequency** Interpretation of Probability
+							- Let E be an random experiment, A be an random event.
+							  Suppose that E was repeated n times under similar conditions.
+							  Let fn (A) be the times that A occurs. The ration
+							  $$Fn (A) =
+							  \frac{ fn (A)}{n}$$
+							  is said to be the frequency of event A in the n trials. If n is
+							  large enough, the probability of event A will be approximated
+							  by Fn (A).
+					- Problems of Each Interpretation of Probability
+					- Similarity of the Above Interpretations of probability
+						- For classical random experiment E, the probability has the fol-
+						  lowing properties:
+						  (i) for every event A, P (A) ⩾ 0,
+						  (ii) P (Ω) = 1,
+						  (iii) for every finite sequence of n disjoint events A1 , A2 , · · · , An ,
+						  ![image.png](../assets/image_1686901196592_0.png)
+						- Property (iii) is called finite additivity.
+					- Axiomatic Definition of Probability ![section 1.4.pdf](../assets/section_1.4_1686901294123_0.pdf)
+						- Let P (A)(A ∈ F ) be a non-negative set function on the σ-algebra
+						  F . P (A) is called the probability measure or probability of
+						  event A if it satisfies the following three axioms:
+						  Axiom 1. for every A ∈ F , P (A) ⩾ 0;
+						  Axiom 2. P (Ω) = 1;
+						  Axiom 3. (countable additivity) for every infinite sequence of
+						  countable disjoint events A1 , A2 , · · · ,
+						  ![image.png](../assets/image_1686901606535_0.png){:height 185, :width 405} 
+						  The sets in σ-algebra F are called events. F is called to be the
+						  algebra of events. ==The triple (Ω, F , P ) is a probability space
+						  or probability triple.==
+					- Properties of Probability
+						- $$P (∅) = 0.$$
+						- For every finite $$A1 , A2 , · · · , An$$,
+						  ![image.png](../assets/image_1686901672954_0.png)
+						- For every event A, $$P (A) = 1 − P (A)$$.
+						- If A ⊂ B, then P (B − A) = P (B) − P (A) and P (A) ⩽ P (B).
+						- ==For every two events A and B,==
+						  $$P (A ∪ B) = P (A) + P (B) − P (AB)$$
+						- ![image.png](../assets/image_1686901846112_0.png)
+					- The ((648c1a97-e67b-471b-b07f-ae24970d60f6)) of Conditional Probability ![section 1.5.pdf](../assets/section_1.5_1686903326304_0.pdf)
+						- ![Screenshot from 2023-06-16 16-17-56.png](../assets/Screenshot_from_2023-06-16_16-17-56_1686903487884_0.png)
+					- ((648c1afb-77a7-4f91-b6e9-20351b320254))
+					- ((648c1b5f-f72c-495e-8c8a-b184c8682d74))
+					- ((648c1bb4-f300-43f1-a55f-ca859720ee6b))
+					- ((648c1e25-4336-48ba-bd20-d156a4c8df7a)) ![section 1.6.pdf](../assets/section_1.6_1686904326481_0.pdf)
+					- ((648c1e7c-ce3f-4aea-bff6-4d35373becbb))
+						- ((648c1ea8-997d-4d93-b7ac-c7a5b9300bed))
+						- Pairwise independence $$\neq$$ Mutually independence
+						- ((648c2162-314d-4d4b-a3f6-29e39fdcc83b))
+						- ((648c206e-8ce7-4a74-9ba5-4991d761909f))
+					- ((648c27ed-e09d-4f1a-8100-7ae2dfff1c8e))
+						- ((648c27f9-f944-4bf8-9e44-cb3e9048d286))
+					-
+				- NOW Ch2 Random Variable
+				  :LOGBOOK:
+				  CLOCK: [2023-06-16 Fri 17:15:12]
+				  :END:
+					- The Definition of a Random Variable ![section 2.1.pdf](../assets/section_2.1_1686906920851_0.pdf)
+						- ((648c2860-5454-45f1-80f8-1c85bce84fd1))
+						- ((648c290a-3532-4e56-8536-258daf7b00a7))
+					- Distribution Function
+						- ((648c2970-9091-4f46-8745-b0c10cdeb832))
+						  collapsed:: true
+							- ((648c2994-36eb-44bf-8038-e49d2390a5b0))
+						- ((648c2a73-3961-4723-90e8-5f160bb18e0d)) ![section 2.2.pdf](../assets/section_2.2_1686907456219_0.pdf)
+						  collapsed:: true
+							- ((648c2a88-3d0f-47d2-be44-21df002a1def))
+							- ((648c2abf-5c5e-4af9-9e13-bb566f3206e8))
+							- ((648c2b26-e92d-43f7-b8e1-60b51a2b5268))
+						- Discrete type
+						  collapsed:: true
+							- Definition:  ((648c2be0-787e-4e1f-8d0c-b859f0d08383))
+						- Continuous type
+						  collapsed:: true
+							- ((648c2c54-b536-40ba-8191-ef1aeb2be0b9))
+					- ((648c2c9a-fcca-43e3-94a6-466f52131b48))
+						- ((648c2d05-82d4-472f-901c-b362852e2a3a))
+						- 换元的示例
+						  collapsed:: true
+							- ((648c2de1-d9a7-4760-bb4f-beec4b41102c))
+							- ((648c488f-85fa-4203-8092-07176b38fce9))
+						- 公式法 #flashcard
+						  collapsed:: true
+							- ((648c48ac-76be-4848-af0d-1532467c8d68))
+					- Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf)
+						- Expectation
+							- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
+							- Examples:
+							  collapsed:: true
+								- ((648c5298-fb84-4e9c-b816-7df1a7ad9a66)) #flashcard
+								  collapsed:: true
+									- ((648c52d9-ea03-4835-8080-52ba5e6c3122))
+							- Expectation of compound **functions**: (Expectation of Functions of a Random Variable) (Replace $$x$$ with $$g(x)$$) #flashcard
+							  collapsed:: true
+								- ((648c5381-49cd-4701-ba48-31c0e21474a7))
+							- Properties:
+							  collapsed:: true
+								- ((648c568e-c617-4699-b217-fd4e8ea205bc))
+								- Linerarity:
+								  ((648c569c-e3d0-445d-acf6-caf0e271f7be))
+						- Variance
+							- Definition:
+								- ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
+								-
+							-
+			- LATER 学积分
+			  :LOGBOOK:
+			  CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] =>  00:00:01
+			  CLOCK: [2023-06-03 Sat 21:07:06]--[2023-06-03 Sat 21:07:07] =>  00:00:01
+			  CLOCK: [2023-06-03 Sat 21:07:17]--[2023-06-03 Sat 21:07:18] =>  00:00:01
+			  :END:
+			- LATER Binomial coefficient
+			- LATER 写题（作业，对答案）
+			- LATER 总复习, 考试6.19，杰克6.8
+				- LATER 看完网课和串讲 [[Jun 17th, 2023]]
+				  :LOGBOOK:
+				  CLOCK: [2023-06-16 Fri 14:42:58]--[2023-06-16 Fri 14:55:49] =>  00:12:51
+				  :END:
+					- [6-8](https://meeting.tencent.com/user-center/shared-record-info?id=7bb557da-b99f-4316-ab5e-fe96befe28b0&from=3)
+				- LATER 写思维导图
+					- [[Jun 16th, 2023]]: Ch 1 - 3
+					- [[Jun 17th, 2023]]: Ch 6-8
+				- LATER 做题 [[Jun 18th, 2023]]
 	- ![2023-06-09-13-21-19.jpeg](../assets/2023-06-09-13-21-19.jpeg)
 -

pages/hls__section_2.3_1686916498071_0.md

@@ -61,4 +61,11 @@ file-path:: ../assets/section_2.3_1686916498071_0.pdf
   hl-color:: yellow
   id:: 648c57e8-e79a-48b6-98cf-f68dc0e5277e
   hl-type:: area
-  hl-stamp:: 1686919143722
+  hl-stamp:: 1686919143722
+- [:span]
+  ls-type:: annotation
+  hl-page:: 32
+  hl-color:: yellow
+  id:: 648c580f-8ccb-4fd3-bc0d-24ab109f240d
+  hl-type:: area
+  hl-stamp:: 1686919183374

pages/总复习2023t1.md

@@ -2738,9 +2738,10 @@
 							- Definition:
 								- ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
 								- Alternative calculation:
-								-
+									- ((648c580f-8ccb-4fd3-bc0d-24ab109f240d))
 								- ((648c57d7-8f76-4520-8bc0-b54953bbe4cf))
 								- Standard variance: ((648c57e8-e79a-48b6-98cf-f68dc0e5277e))
+								-
 			- LATER 学积分
 			  :LOGBOOK:
 			  CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] =>  00:00:01