2025-12-17
Miscellaneous
00

Preparations After Getting into the Car

  1. Adjust the seat Whether the seat is adjusted properly directly affects your control of the brake pedal.

  1. Adjust the rear-view mirrors Proper mirror adjustment directly affects all reference points that need to be observed through the mirrors.
  • Turn the knob to L to adjust the left rear-view mirror. Adjust it so that the vehicle body occupies about 13\dfrac{1}{3} of the mirror.
  • First adjust the mirror upward until you can see the left rear door handle, then adjust it downward so that the left rear door handle touches the upper edge of the mirror.
  • Make sure that the left rear wheel is visible.

Similarly, adjust the right rear-view mirror:

  • Turn the knob to R to adjust the right rear-view mirror. Adjust it so that the vehicle body occupies about 13\dfrac{1}{3} of the mirror.
  • First adjust the mirror upward until you can see the right rear door handle, then adjust it downward so that the right rear door handle touches the upper edge of the mirror.

If the mirror cannot be adjusted to the desired position, you can compensate by adjusting the seat position and your sitting posture.


  1. Before the vehicle starts moving, do not rush to press the brake and shift into Drive. Be sure to check whether the parking brake has been fully released, whether the seat belt is fastened, and whether the doors are completely closed. These are all indicated on the instrument panel.

  1. Slowly release the brake. Once you have confirmed that all preparations are complete, shift into gear and slowly release the brake pedal.

Common points where marks may be deducted before entering an exam item:

  • Parking brake not fully released
  • Seat belt not fastened as required
  • Door not completely closed
2025-10-24
Miscellaneous
00

C2 Driver’s License: Subject 1

  • Exam duration: 45 minutes
  • Number of questions: 100
  • Question types: Single-choice questions (60), True/False questions (40)
  • Score: 1 point per question
  • Full score: 100 points
  • Passing score: 90 points or above
2025-05-22
Solutions to Principles of Quantum Mechanics
00

Appendix

A.1 Matrix Inversion

Exercise A.1.1 Using the Method described above, show that

(213012111)1=(121254132)\begin{pmatrix} 2 & 1 & 3\\ 0 & 1 & 2\\ -1 & 1 & 1 \end{pmatrix}^{-1}=\begin{pmatrix} 1 & -2 & 1\\ 2 & -5 & 4\\ -1 & 3 & -2 \end{pmatrix}

and

(213412012)1=112(451848422)\begin{pmatrix} 2 & 1 & 3\\ 4 & 1 & 2\\ 0 & -1 & 2 \end{pmatrix}^{-1}=\dfrac{1}{12} \begin{pmatrix} -4 & 5 & 1\\ 8 & -4 & -8\\ 4 & -2 & 2 \end{pmatrix}
2025-05-21
Solutions to Principles of Quantum Mechanics
00

Chapter 21 Path Integrals——II

21.1 Derivation of the Path Integral

21.2 Imaginary Time Formalism

21.3 Spin and Fermion Path Integrals

21.4 Summary

2025-05-20
Solutions to Principles of Quantum Mechanics
00

Chapter 20 The Dirac Equation

20.1 The Free-Particle Dirac Equation

Exercise 20.1.1 Derive the continuity equation

Pt+j=0\dfrac{\partial P}{\partial t}+\nabla\cdot\mathbf{j}=0

where P=ψψP=\psi^{\dagger}\psi and j=cψαψ\mathbf{j}=c\psi^{\dagger}\mathbf{\alpha}\psi.