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string
media
images list
messages
string
answer
string
question_type
string
answer_type
string
thm_0
[{"role": "user", "question": "Consider the following graph, with links costs listed, and assume we are using shortest-path (or lowest-cost) routing, and that routing has equilibrated to a constant set of routing tables. The routing algorithm uses poisoned reverse, advertising an infinite weight for the poisoned paths....
5
numeric
integer
thm_1
[{"role": "user", "question": "the matrix in ./mingyin/mc.png represents a markov chain. What is the period of state 0? What is the period of state 1? Return the two answers as a list.", "hint": "", "options": {}, "choices": []}]
[2, 2]
open
list of integer
thm_10
[{"role": "user", "question": "The 4 8x8 images shown below are encoded with JPEG coding. Based on their expected DCT (Discrete Cosine Transform) coefficients, Which image has the most non-zero AC coefficients? (a): Image A, (b): Image B, (c): Image C, (d): Image D.", "hint": "", "options": {}, "choices": []}]
(b)
mcq
option
thm_11
[{"role": "user", "question": "The 4 8x8 images shown below are encoded with JPEG coding. Based on their expected DCT (Discrete Cosine Transform) coefficients, Sort the images according to the magnitude of their DC coefficients. Provide your answer in a list of ascending order.", "hint": "", "options": {}, "choices": [...
[0, 1, 2, 3]
open
list of integer
thm_12
[{"role": "user", "question": "Find the rms(Root Mean Square) voltage value (in V) of the waveform in figure (3 sig fig.).", "hint": "", "options": {}, "choices": []}]
3.45
numeric
float
thm_13
[{"role": "user", "question": "Determine the time constant (i.e. τ ) of the circuit in the figure. Answer in unit of seconds (3 sig.fig.).", "hint": "", "options": {}, "choices": []}]
3.93
numeric
float
thm_14
[{"role": "user", "question": "A QCIF (176x144) image sequence is encoded using the MPEG video coding algorithm with the following Group Of Pictures (GOP). When a single bit error occurs in the 5th picture of a GOP, which pictures could possibly be affected by this error? Represent the answer in a list sorted in ascend...
[4, 6, 7, 8, 9, 10, 11, 12]
open
list of integer
thm_15
[{"role": "user", "question": "As shown in ./mingyin/integral1.png line $y=c$, $x=0$, and parabola $y=2x-3x^3$ splits the plane into the two shaded regions. Suppose two regions have the same areas. What is the value $c$?", "hint": "", "options": {}, "choices": []}]
0.444444
numeric
float
thm_16
[{"role": "user", "question": "A perceptual audio codec is used to compress an audio signal. The codec groups every 4 barks into a subband and then allocates bits to different subbands according to the result of a spectrum analysis based on a psychoacoustic model. All samples in the same subband are quantized with the ...
7
numeric
integer
thm_17
[{"role": "user", "question": "In the figure, at what rate is thermal energy being generated in the 2R-resistor when $V_s = 12V$ and $R = 3.0\\Omega$? Answer in unit of W.", "hint": "", "options": {}, "choices": []}]
6
numeric
integer
thm_18
[{"role": "user", "question": "Given that the Hue-Saturation subspace shown in Fig. Q2 is a perfect circle and that colors A, B and C can be represented as the 3 points shown in the subspace. Which color has the smallest saturation coefficient?", "hint": "", "options": {}, "choices": []}]
(b)
mcq
option
thm_19
[{"role": "user", "question": "Determine the AC power gain for the emitter-follower in the figure. Assume that $\\beta_{ac} = 175$", "hint": "", "options": {}, "choices": []}]
24.1
numeric
float
thm_2
[{"role": "user", "question": "ABCD is a parallelogram. E is the midpoint, F is also a midpoint. Area of AFG = 10, Area of EGH = 3. What is Area CDH?", "hint": "", "options": {}, "choices": []}]
7
numeric
integer
thm_20
[{"role": "user", "question": "Tangent Circle at C. AB: common tangent. ∠OQB=112. What is ∠BAC? Return the numeric value.", "hint": "", "options": {}, "choices": []}]
34.0
numeric
float
thm_21
[{"role": "user", "question": "Determine the value of R in order to get a phase angle of 35 degree between the source voltage and the total current in the figure. Give the answer in unit of $k\\Omega$ (3 sig.fig.).", "hint": "", "options": {}, "choices": []}]
3.59
numeric
float
thm_22
[{"role": "user", "question": "Square ABCD center O. Right AEB. ∠ABE = 53. Find the numeric value of ∠OFC.", "hint": "", "options": {}, "choices": []}]
82.0
numeric
float
thm_23
[{"role": "user", "question": "An image has the gray level PDF $p_r(r)$ shown in Fig. Q1a. One wants to do histogram specification SO that the processed image will have the specified $p_z(z)$ shown in Fig. Q1b. Can we use intensity mapping function $T: z=1-r$ to achieve the goal?", "hint": "", "options": {}, "choices":...
False
open
bool
thm_24
[{"role": "user", "question": "Place the little house mouse into a maze for animal learning experiments, as shown in the figure ./mingyin/maze.png. In the seventh grid of the maze, there is a delicious food, while in the eighth grid, there is an electric shock mouse trap. Assuming that when the mouse is in a certain gr...
[0.5, 0.66667]
open
list of float
thm_25
[{"role": "user", "question": "Consider the infinitely long chain of resistors shown below. What is the resistance between terminals a and b if R=1?", "hint": "", "options": {}, "choices": []}]
0.73
numeric
float
thm_26
[{"role": "user", "question": "ABCD is a square. Inscribed Circle center is O. Find the the angle of ∠AMK. Return the numeric value.", "hint": "", "options": {}, "choices": []}]
130.9
numeric
float
thm_27
[{"role": "user", "question": "ABCD is a parallelogram such that AB is parallel to DC and DA parallel to CB. The length of side AB is 20 cm. E is a point between A and B such that the length of AE is 3 cm. F is a point between points D and C. Find the length of DF in cm such that the segment EF divide the parallelogram...
17
numeric
integer
thm_28
[{"role": "user", "question": "Square ABCD. CT: tangent to semicircle. Find the angle ∠CTD. Return the numeric value.", "hint": "", "options": {}, "choices": []}]
63.4
numeric
float
thm_29
[{"role": "user", "question": "In the figure,At what rate is thermal energy generated in the $20 \\Omega$ resistor? Answer in unit of W (3 sig.fig.).", "hint": "", "options": {}, "choices": []}]
1.63
numeric
float
thm_3
[{"role": "user", "question": "Fig. Q4 shows the contour of an object. Represent it with an 8-directional chain code. The resultant chain code should be normalized with respect to the starting point of the chain code. Represent the answer as a list with each digit as a element.", "hint": "", "options": {}, "choices": [...
[0, 2, 0, 2, 1, 7, 1, 2, 0, 3, 0, 6]
open
list of integer
thm_30
[{"role": "user", "question": "Find the measure of angle A in the figure below. Return the numeric value.", "hint": "", "options": {}, "choices": []}]
87
numeric
integer
thm_31
[{"role": "user", "question": "Figure Q8 shows the contour of an object. Represent it with an 4-directional chain code. Represent the answer as a list with each digit as a element.", "hint": "", "options": {}, "choices": []}]
[0, 0, 3, 3, 3, 3, 2, 3, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1]
open
list of integer
thm_32
[{"role": "user", "question": "Find the size of angle MBD in the figure below.", "hint": "", "options": {}, "choices": []}]
72
numeric
integer
thm_33
[{"role": "user", "question": "In the figure, what is the magnitude of the potential difference across the $20 \\Omega$ resistor? Answer in unit of W (3 sig.fig.).", "hint": "", "options": {}, "choices": []}]
7.76
numeric
float
thm_34
[{"role": "user", "question": "Given the following circuit (with all current and voltage values in rms), find the value of $V_C$ in the unit of V.", "hint": "", "options": {}, "choices": []}]
14.5
numeric
float
thm_35
[{"role": "user", "question": "./mingyin/mdp.png shows a rectangular gridworld representation of a simple finite MDP. The cells of the grid correspond to the states of the environment. At each cell, four actions are possible: north, south, east, and west, which deterministically cause the agent to move one cell in the ...
[8.8, 24.4]
open
list of float
thm_36
[{"role": "user", "question": "Represent the contour of the object shown in the figure in a clockwise direction with a 4-directional chain code. Use the left upper corner as the starting point. The answer need to be normalized with respect to the orientation of the object. Represent the answer as a list with each digit...
[1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3]
open
list of integer
thm_37
[{"role": "user", "question": "Consider the following graph, with links costs listed, and assume we are using shortest-path (or lowest-cost) routing, and that routing has equilibrated to a constant set of routing tables. The routing algorithm uses poisoned reverse, advertising an infinite weight for the poisoned paths....
True
open
bool
thm_38
[{"role": "user", "question": "Are the circuits shown in Fig. Qla and Fig. Q1b are identical? (Hint: Compare the Tranfer functions)", "hint": "", "options": {}, "choices": []}]
True
open
bool
thm_39
[{"role": "user", "question": "Given a network in the figure, From Interface m1 of router R2 it can reach how many destinations?", "hint": "", "options": {}, "choices": []}]
4
numeric
integer
thm_4
[{"role": "user", "question": "Square ABCD. Rectangle AEFG. The degree of ∠AFG=20. Please find ∠AEB in terms of degree. Return the numeric value.", "hint": "", "options": {}, "choices": []}]
25.0
numeric
float
thm_40
[{"role": "user", "question": "ABC is a right triangle. AM is perpendicular to BC. The size of angle ABC is equal to 55 degrees. Find the size of angle MAC.", "hint": "", "options": {}, "choices": []}]
55
numeric
integer
thm_41
[{"role": "user", "question": "Fig. Q2 shows a 1st-order noise shaper. The input is bounded by 0 v and 1 v. A constant 0.4 v input is fed into the noise shaper. The output is a periodic pattern sequence. What is the period of the sequence?", "hint": "", "options": {}, "choices": []}]
5
numeric
integer
thm_42
[{"role": "user", "question": "Suppose the Markov Chain satisfies the diagram ./mingyin/diagram.png What is the period of state 0? What is the period of state 1? Return the two answers as a list.", "hint": "", "options": {}, "choices": []}]
[2, 2]
open
list of integer
thm_43
[{"role": "user", "question": "Find the size of angle x in the figure.", "hint": "", "options": {}, "choices": []}]
24
numeric
integer
thm_44
[{"role": "user", "question": "Fig.Q3 shows an excerpt of the transmission phase of a TCP connection. Assume the length of the IP header is 20 bytes. What is the ACK number at message 6?", "hint": "", "options": {}, "choices": []}]
839
numeric
integer
thm_45
[{"role": "user", "question": "Determine the AC power gain for the common-emitter amplifier in the figure. Assume that $\\beta_{ac} = 100$, the internal emitter resistance $r_e = 12.3 \\Omega$.", "hint": "", "options": {}, "choices": []}]
33540
numeric
integer
thm_46
[{"role": "user", "question": "Fig 1(a) and 1(b) show the situation of a reference frame and a current block for block matching motion estimation. The size of searching window is 14x2 while the block size is 2x2. The numbers within the squares are the pixel values. Determine the optimum motion vector.", "hint": "", "op...
[-4, 0]
open
list of integer
thm_47
[{"role": "user", "question": "ABCD is a Quadrilateral. E is the midpoint of BC. F is the midpoint of AD. Area of ABG=9 and Area of GEHF=21. What is the Area of CHD?", "hint": "", "options": {}, "choices": []}]
12
numeric
integer
thm_48
[{"role": "user", "question": "Given $V_s$ = 5V, $R_1$ = 1kΩ, $R_2$ = 2.2kΩ, $R_3$ = 2.2kΩ, $R_4$ = 1.5kΩ, and $R_L$ = 4.7kΩ. Determine the voltage and current across $R_L$. Answer in unit of V (3 sig.fig.).", "hint": "", "options": {}, "choices": []}]
1.06
numeric
float
thm_49
[{"role": "user", "question": "What is the RC time constant of the circuit in seconds?", "hint": "", "options": {}, "choices": []}]
3800.0
numeric
float
thm_5
[{"role": "user", "question": "Given $V_s = 5V$, $R_1 = 480 \\Omega$, $R_2 = 320 \\Omega$, and $R_3 = 200 \\Omega$, find the power dissipated by the 3 resistors $P_1, P_2, P_3$ in the figure. Represent your answer as a list [$P_1, P_2, P_3$] in the unit of mW.", "hint": "", "options": {}, "choices": []}]
[51.2, 78.15, 125.0]
open
list of float
thm_50
[{"role": "user", "question": "Calculate the total capacitive reactance in the figure. Answer in unit of Ohm (3 sig.fig.).", "hint": "", "options": {}, "choices": []}]
3.18
numeric
float
thm_51
[{"role": "user", "question": "In the figure, given $V_{S1} = V_{S2} = V_{S3} = 5V$, and $R_1 = R_2 = R_3 = 100\\Omega$. Find the voltage values with reference to ground $V_A, V_B, V_C, V_D$ in the figure. Represent the answer in a list $[V_A, V_B, V_C, V_D]$ (in 3 sig.fig.) in the unit of V.", "hint": "", "options": {...
[-5.0, -8.33, -6.66, 0.0]
open
list of float
thm_52
[{"role": "user", "question": "Consider a $21 \\times 17$ rectangular region. This region is to be tiled using tiles of the two types shown in ./mingyin/square1.png (The dotted lines divide the tiles into $1\\times 1$ squares.) The tiles may be rotated and reflected, as long as their sides are parallel to the sides of ...
99
numeric
integer
thm_6
[{"role": "user", "question": "Fig. Q7a shows the amplitude spectrum of a real-value discrete time signal x[n]. Determine the period of signal x[n] (in samples).", "hint": "", "options": {}, "choices": []}]
8
numeric
integer
thm_7
[{"role": "user", "question": "Given $V_s = 5V$, $R_1 = 480 \\Omega$, $R_2 = 320 \\Omega$, and $R_3 = 200 \\Omega$, find the power dissipated by the 3 resistors $P_1, P_2, P_3$ in the figure. Represent your answer as a list [$P_1, P_2, P_3$] in the unit of mW.", "hint": "", "options": {}, "choices": []}]
[12, 8, 5]
open
list of integer
thm_8
[{"role": "user", "question": "Figure Q8 shows the contour of an object. Represent it with an 8-directional chain code. Represent the answer as a list with each digit as a element.", "hint": "", "options": {}, "choices": []}]
[6, 7, 0, 6, 6, 4, 3, 4, 3, 1, 1]
open
list of integer
thm_9
[{"role": "user", "question": "Given that $V_A = V_B$, determine the value of $C_2$ (in μF) in the following circuit in the figure.", "hint": "", "options": {}, "choices": []}]
0.103
numeric
float
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