Current location - Training Enrollment Network - Mathematics courses - Catalogue of basic problem sets of error theory and survey adjustment
Catalogue of basic problem sets of error theory and survey adjustment
The first chapter is introduction.

1- 1 observation error

1-2 research object of survey adjustment discipline

A brief history and development of 1-3 survey adjustment

1-4 Tasks and contents of this course

Chapter II Error Distribution and Precision Index

2- 1 normal distribution

2-2 regularity of accidental errors

2-3 indicators to measure accuracy

2-4 Accuracy, Accuracy and Accuracy

2-5 Measurement Uncertainty

2-6 Comprehensive exercises

Chapter III Covariance Propagation Law and Weight

3- 1 the spread of mathematical expectations

3-2 Covariance Propagation Law

Application of 3-3 Covariance Propagation Law

3-4 Power and Common Methods for Determining Power

3-5 cofactor and cofactor propagation law

3-6 Error in True Error Calculation and Its Practical Application

3-7 System Error Propagation

3-8 comprehensive exercises

The fourth chapter is the mathematical model of adjustment and the principle of least square method.

4- 1 Survey Adjustment Overview

4-2 functional model

Linearization of 4-3 Function Model

4-4 Mathematical Model of Surveying Adjustment

4-5 parameter estimation and least square principle

4-6 Comprehensive exercises

Chapter V Conditional Adjustment

5- 1 principle of conditional adjustment

5-2 conditional equation

5-3 Accuracy evaluation

5-4 example of leveling network adjustment

Chapter VI Conditional Adjustment with Parameters

6- 1 principle of conditional adjustment with parameters

6-2 Accuracy evaluation

6-3 Comprehensive exercises

Chapter VII Indirect Adjustment

7- 1 indirect adjustment principle

7-2 error equation

7-3 Accuracy evaluation

Example of 7-4 Leveling Network Adjustment

7-5 Special case of indirect adjustment-direct adjustment

7-6 Adjustment of Triangulation Coordinates

7-7 Coordinate Adjustment of Surveying Network

Indirect adjustment of 7-8 traverse network

Adjustment of 7-9 GPS network

7- 10 comprehensive exercise

Chapter VIII Restricted Indirect Adjustment

8- 1 indirect adjustment principle with constraints

8-2 Accuracy evaluation

8-3 Comprehensive exercises

Chapter 9 summarizes the regulation function model.

9- 1 basic adjustment method and generalized function model

9-2 Principle of Conditional Adjustment with Constraints

9-3 Accuracy evaluation

9-4 * * Characteristics of various adjustment methods

9-5 Statistical Properties of Adjustment Results

Chapter 10 Error Ellipse

10- 1 overview

10-2 point error

10-3 error curve

10-4 error ellipse

10-5 relative error ellipse

Probability that the point 10-6 falls into the error ellipse

10-7 comprehensive exercise

Chapter II Statistical Hypothesis Test of XI Adjustment System

An Overview of Statistical Hypothesis Test of 1 1- 1

1 1-2 basic methods of statistical hypothesis testing

Hypothesis test of 1 1-3 error distribution

Statistical test of the correctness of 1 1-4 variance model

Statistical test and interval estimation of 1 1-5 adjustment parameters

Data detection method of 1 1-6 gross error test

1 1-7 comprehensive exercises