theoremqa_visual_subset_test.json

[
  {
    "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. What distance does C advertise to B?",
    "Answer": 5,
    "Answer_type": "integer",
    "Picture": "images/ipnetwork21-ip.png",
    "source": "website | https://vinesmsuic.github.io/notes-networkingIP-qa/",
    "id": "maxku/ipnetwork21-ip.json",
    "explanation": "NONE",
    "theorem": "internet protocol",
    "subfield": "Computer networking",
    "field": "EECS"
  },
  {
    "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.",
    "Answer": [
      2,
      2
    ],
    "Picture": "images/mc.png",
    "Answer_type": "list of integer",
    "source": "stochastic process: Example 3.7",
    "id": "mingyin/markov-chain1.json",
    "explanation": "NONE",
    "theorem": "markov decision processes",
    "subfield": "Stochastic process",
    "field": "Math"
  },
  {
    "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?",
    "Answer": 7,
    "Answer_type": "integer",
    "Picture": "images/geometry_1.jpg",
    "source": "website | https://www.gogeometry.com/problem/index.html",
    "id": "wenhuchen/parallelogram2.json",
    "explanation": "NONE",
    "theorem": "parallelogram",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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.",
    "Answer": [
      0,
      2,
      0,
      2,
      1,
      7,
      1,
      2,
      0,
      3,
      0,
      6
    ],
    "Answer_type": "list of integer",
    "Picture": "images/cv-imageprocessing16-chaincode.png",
    "source": "website | https://www.ece.mcmaster.ca/~shirani/ip12/chapter11.pdf",
    "id": "maxku/cv-imageprocessing16-chaincode.json",
    "explanation": "NONE",
    "theorem": "chain code",
    "subfield": "Machine learning",
    "field": "EECS"
  },
  {
    "Question": "Square ABCD. Rectangle AEFG. The degree of \u2220AFG=20. Please find \u2220AEB in terms of degree. Return the numeric value.",
    "Answer": 25.0,
    "Answer_type": "float",
    "Picture": "images/geometry_7.jpg",
    "source": "website | https://www.gogeometry.com/problem/index.html",
    "id": "wenhuchen/rectangle3.json",
    "explanation": "NONE",
    "theorem": "rectangle",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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.",
    "Answer": [
      51.2,
      78.15,
      125.0
    ],
    "Answer_type": "list of float",
    "Picture": "images/basic-electronics-A1-1.png",
    "source": "self",
    "id": "maxku/basic-electronics-A1-1.json",
    "explanation": "NONE",
    "theorem": "ohm's law",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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).",
    "Answer": 8,
    "Answer_type": "integer",
    "Picture": "images/signalprocessing19-period.png",
    "source": "self",
    "id": "maxku/signalprocessing19-period.json",
    "explanation": "NONE",
    "theorem": "signal processing",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "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.",
    "Answer": [
      12,
      8,
      5
    ],
    "Answer_type": "list of integer",
    "Picture": "images/basic-electronics-2-1.png",
    "source": "self",
    "id": "maxku/basic-electronics-2-1.json",
    "explanation": "NONE",
    "theorem": "ohm's law",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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.",
    "Answer": [
      6,
      7,
      0,
      6,
      6,
      4,
      3,
      4,
      3,
      1,
      1
    ],
    "Answer_type": "list of integer",
    "Picture": "images/cv-imageprocessing12-chaincode.png",
    "source": "self | https://vinesmsuic.github.io/notes-dimagep-QA/",
    "id": "maxku/cv-imageprocessing12-chaincode.json",
    "explanation": "NONE",
    "theorem": "chain code",
    "subfield": "Machine learning",
    "field": "EECS"
  },
  {
    "Question": "Given that $V_A = V_B$, determine the value of $C_2$ (in \u03bcF) in the following circuit in the figure.",
    "Answer": 0.103,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-H3-7.png",
    "source": "self",
    "id": "maxku/basic-electronics-H3-7.json",
    "explanation": "NONE",
    "theorem": "rc circuit",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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.",
    "Answer": "(b)",
    "Answer_type": "option",
    "Picture": "images/cv-imageprocessing15-DCT-2.png",
    "source": "self",
    "id": "maxku/cv-imageprocessing15-DCT-2.json",
    "explanation": "NONE",
    "theorem": "discrete cosine transform",
    "subfield": "Machine learning",
    "field": "EECS"
  },
  {
    "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.",
    "Answer": [
      0,
      1,
      2,
      3
    ],
    "Answer_type": "list of integer",
    "Picture": "images/cv-imageprocessing15-DCT.png",
    "source": "self",
    "id": "maxku/cv-imageprocessing15-DCT.json",
    "explanation": "NONE",
    "theorem": "discrete cosine transform",
    "subfield": "Machine learning",
    "field": "EECS"
  },
  {
    "Question": "Find the rms(Root Mean Square) voltage value (in V) of the waveform in figure (3 sig fig.).",
    "Answer": 3.45,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-A2-2.png",
    "source": "self",
    "id": "maxku/basic-electronics-A2-2.json",
    "explanation": "NONE",
    "theorem": "root mean square voltage",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "Determine the time constant (i.e. \u03c4 ) of the circuit in the figure. Answer in unit of seconds (3 sig.fig.).",
    "Answer": 3.93,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-5-4.png",
    "source": "self",
    "id": "maxku/basic-electronics-5-4.json",
    "explanation": "NONE",
    "theorem": "rc circuit",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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 ascending order.",
    "Answer": [
      4,
      6,
      7,
      8,
      9,
      10,
      11,
      12
    ],
    "Answer_type": "list of integer",
    "Picture": "images/cv-videoprocessing4-gop.png",
    "source": "self",
    "id": "maxku/cv-videoprocessing4-gop.json",
    "explanation": "NONE",
    "theorem": "video encoding",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "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 $c$?",
    "Answer": 0.444444,
    "Picture": "images/integral1.png",
    "Answer_type": "float",
    "source": "Putnam math competition",
    "id": "mingyin/integral-theorem1.json",
    "explanation": "NONE",
    "theorem": "integral rules",
    "subfield": "Calculus",
    "field": "Math"
  },
  {
    "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 same quantizer, and the bit resolution of which is allocated by the codec. (The Bark scale is a psychoacoustical scale proposed by Eberhard Zwicker in 1961.) Fig. Q1a shows the frequency spectrum of a windowed segment of audio signal. The psychoacoustic model shown in Fig. Q1b is used in the audio codec to derive the masking threshold for the audio segment. How many potential maskers in Fig. Q1a?",
    "Answer": 7,
    "Answer_type": "integer",
    "Picture": "images/signalprocessing17-noiseshaper.png",
    "source": "self | https://vinesmsuic.github.io/notes-dimagep-QA3/",
    "id": "maxku/signalprocessing18-noisebark.json",
    "explanation": "NONE",
    "theorem": "signal processing",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "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.",
    "Answer": 6,
    "Answer_type": "integer",
    "Picture": "images/basic-electronics-3-1.png",
    "source": "self",
    "id": "maxku/basic-electronics-3-1.json",
    "explanation": "NONE",
    "theorem": "th\u00e9venin's theorem",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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?",
    "Answer": "(b)",
    "Answer_type": "option",
    "Picture": "images/cv-colorsci5-hsi.png",
    "source": "self",
    "id": "maxku/cv-colorsci5-hsi.json",
    "explanation": "NONE",
    "theorem": "color space",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "Question": "Determine the AC power gain for the emitter-follower in the figure. Assume that $\\beta_{ac} = 175$",
    "Answer": 24.1,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-7-4.png",
    "source": "self",
    "id": "maxku/basic-electronics-7-4.json",
    "explanation": "NONE",
    "theorem": "ohm's law",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "Tangent Circle at C. AB: common tangent. \u2220OQB=112. What is \u2220BAC? Return the numeric value.",
    "Answer": 34.0,
    "Answer_type": "float",
    "Picture": "images/geometry_4.jpg",
    "source": "website | https://www.gogeometry.com/problem/index.html",
    "id": "wenhuchen/circular2.json",
    "explanation": "NONE",
    "theorem": "circular",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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.).",
    "Answer": 3.59,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-6-2.png",
    "source": "self",
    "id": "maxku/basic-electronics-6-2.json",
    "explanation": "NONE",
    "theorem": "rc circuit",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "Square ABCD center O. Right AEB. \u2220ABE = 53. Find the numeric value of \u2220OFC.",
    "Answer": 82.0,
    "Answer_type": "float",
    "Picture": "images/geometry_5.jpg",
    "source": "website | https://www.gogeometry.com/problem/index.html",
    "id": "wenhuchen/rectangle1.json",
    "explanation": "NONE",
    "theorem": "rectangle",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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?",
    "Answer": false,
    "Answer_type": "bool",
    "Picture": "images/cv-imageprocessing11-histogram.png",
    "source": "self | https://vinesmsuic.github.io/notes-dimagep-QA/",
    "id": "maxku/cv-imageprocessing11-histogram.json",
    "explanation": "NONE",
    "theorem": "image contrast",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "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 grid, there are k exits that it can leave from, it always randomly chooses one with a probability of 1/k. Also, assume that the mouse can only run to adjacent grids each time. Let the process $X_n$ denote the grid number where the mouse is located at time n.  Calculate the probability that the mouse can find food before being shocked if: the mouse start from 0, $X_0=0$;  the mouse start from 4, $X_0=4$? Return the two answers as a list.",
    "Answer": [
      0.5,
      0.66667
    ],
    "Picture": "images/maze.png",
    "Answer_type": "list of float",
    "source": "stochastic process: Exercise 3.6",
    "id": "mingyin/markov-chain3.json",
    "explanation": "NONE",
    "theorem": "markov decision processes",
    "subfield": "Stochastic process",
    "field": "Math"
  },
  {
    "Question": "Consider the infinitely long chain of resistors shown below. What is the resistance between terminals a and b if R=1?",
    "Answer": 0.73,
    "Answer_type": "float",
    "Picture": "images/physics_circuits_2.jpg",
    "source": "textbook | https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_University_Physics_(OpenStax)/Book%3A_University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/10%3A_Direct-Current_Circuits/10.0E%3A_10.E%3A_Direct-Current_Circuits_(Exercise)",
    "id": "xueguangma/physics_circuits_2.json",
    "explanation": "NONE",
    "theorem": "electronic circuit theorem",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "ABCD is a square. Inscribed Circle center is O. Find the the angle of \u2220AMK. Return the numeric value.",
    "Answer": 130.9,
    "Answer_type": "float",
    "Picture": "images/geometry_3.jpg",
    "source": "website | https://www.gogeometry.com/problem/index.html",
    "id": "wenhuchen/circular1.json",
    "explanation": "NONE",
    "theorem": "circular",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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 in two regions with equal areas.",
    "Answer": 17,
    "Answer_type": "integer",
    "Picture": "images/geometry_grade_9_1.jpg",
    "source": "website | https://www.analyzemath.com/middle_school_math/grade_9/geometry_sol.html#",
    "id": "wenhuchen/parallelogram1.json",
    "explanation": "NONE",
    "theorem": "parallelogram",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "Question": "Square ABCD. CT: tangent to semicircle. Find the angle \u2220CTD. Return the numeric value.",
    "Answer": 63.4,
    "Answer_type": "float",
    "Picture": "images/geometry_6.jpg",
    "source": "website | https://www.gogeometry.com/problem/index.html",
    "id": "wenhuchen/rectangle2.json",
    "explanation": "NONE",
    "theorem": "rectangle",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "Question": "In the figure,At what rate is thermal energy generated in the $20 \\Omega$ resistor? Answer in unit of W (3 sig.fig.).",
    "Answer": 1.63,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-3-3.png",
    "source": "self",
    "id": "maxku/basic-electronics-3-3.json",
    "explanation": "NONE",
    "theorem": "th\u00e9venin's theorem",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "Find the measure of angle A in the figure below. Return the numeric value.",
    "Answer": 87,
    "Answer_type": "integer",
    "Picture": "images/geometry_grade_9_2.jpg",
    "source": "website | https://www.analyzemath.com/middle_school_math/grade_9/geometry_sol.html#",
    "id": "wenhuchen/triangle3.json",
    "explanation": "NONE",
    "theorem": "triangle",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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.",
    "Answer": [
      0,
      0,
      3,
      3,
      3,
      3,
      2,
      3,
      2,
      2,
      1,
      2,
      1,
      1,
      1,
      0,
      0,
      1
    ],
    "Answer_type": "list of integer",
    "Picture": "images/cv-imageprocessing14-chaincode.png",
    "source": "website | https://www.ece.mcmaster.ca/~shirani/ip12/chapter11.pdf",
    "id": "maxku/cv-imageprocessing14-chaincode.json",
    "explanation": "NONE",
    "theorem": "chain code",
    "subfield": "Machine learning",
    "field": "EECS"
  },
  {
    "Question": "Find the size of angle MBD in the figure below.",
    "Answer": 72,
    "Answer_type": "integer",
    "Picture": "images/geometry_grade_9_4.jpg",
    "source": "website | https://www.analyzemath.com/middle_school_math/grade_9/geometry_sol.html#",
    "id": "wenhuchen/triangle1.json",
    "explanation": "NONE",
    "theorem": "triangle",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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.).",
    "Answer": 7.76,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-3-2.png",
    "source": "self",
    "id": "maxku/basic-electronics-3-2.json",
    "explanation": "NONE",
    "theorem": "th\u00e9venin's theorem",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "Given the following circuit (with all current and voltage values in rms), find the value of $V_C$ in the unit of V.",
    "Answer": 14.5,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-6-1.png",
    "source": "self",
    "id": "maxku/basic-electronics-6-1.json",
    "explanation": "NONE",
    "theorem": "rc circuit",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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 respective direction on the grid. Actions that would take the agent off the grid leave its location unchanged, but also result in a reward of $-1$. Other actions result in a reward of $0$, except those move the agent out of the special states A and B. From state A, all four actions yield a reward of +10 and take the agent to A'. From state B, all actions yield a reward of +5 and take the agent to B'. Suppose the discount gamma=0.9. The state-value function of a policy $\\pi$ is defined as the expected cumulative reward of $\\pi$ given the current state. What is the state-value of state A if the policy is random (choose all four directions with equal probabilities)? What is the state-value of state A under the optimal policy? Return the answer of the two questions using a list.",
    "Answer": [
      8.8,
      24.4
    ],
    "Picture": "images/mdp.png",
    "Answer_type": "list of float",
    "source": "introduction to RL: Example 3.5,3.8",
    "id": "mingyin/value-iteration1.json",
    "explanation": "NONE",
    "theorem": "value iteration",
    "subfield": "Stochastic process",
    "field": "Math"
  },
  {
    "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 as a element.",
    "Answer": [
      1,
      0,
      1,
      1,
      3,
      0,
      1,
      1,
      3,
      1,
      1,
      3
    ],
    "Answer_type": "list of integer",
    "Picture": "images/cv-imageprocessing13-chaincode.png",
    "source": "self",
    "id": "maxku/cv-imageprocessing13-chaincode.json",
    "explanation": "NONE",
    "theorem": "chain code",
    "subfield": "Machine learning",
    "field": "EECS"
  },
  {
    "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. is the distance that B advertise to C infinity?",
    "Answer": true,
    "Answer_type": "bool",
    "Picture": "images/ipnetwork21-ip-2.png",
    "source": "website | https://vinesmsuic.github.io/notes-networkingIP-qa/",
    "id": "maxku/ipnetwork21-ip-2.json",
    "explanation": "NONE",
    "theorem": "internet protocol",
    "subfield": "Computer networking",
    "field": "EECS"
  },
  {
    "Question": "Are the circuits shown in Fig. Qla and Fig. Q1b are identical? (Hint: Compare the Tranfer functions)",
    "Answer": true,
    "Answer_type": "bool",
    "Picture": "images/signalprocessing16-Ztransform.png",
    "source": "self | https://vinesmsuic.github.io/notes-dimagep-QA3/",
    "id": "maxku/signalprocessing16-Ztransform.json",
    "explanation": "NONE",
    "theorem": "z-transform",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "Question": "Given a network in the figure, From Interface m1 of router R2 it can reach how many destinations?",
    "Answer": 4,
    "Answer_type": "integer",
    "Picture": "images/ipnetwork20-ip.png",
    "source": "website | https://vinesmsuic.github.io/notes-networkingIP-qa/",
    "id": "maxku/ipnetwork20-ip.json",
    "explanation": "NONE",
    "theorem": "internet protocol",
    "subfield": "Computer networking",
    "field": "EECS"
  },
  {
    "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.",
    "Answer": 55,
    "Answer_type": "integer",
    "Picture": "images/geometry_grade_9_4.jpg",
    "source": "website | https://www.analyzemath.com/middle_school_math/grade_9/geometry_sol.html#",
    "id": "wenhuchen/triangle2.json",
    "explanation": "NONE",
    "theorem": "triangle",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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?",
    "Answer": 5,
    "Answer_type": "integer",
    "Picture": "images/signalprocessing17-noiseshaper.png",
    "source": "self | https://vinesmsuic.github.io/notes-dimagep-QA3/",
    "id": "maxku/signalprocessing17-noiseshaper.json",
    "explanation": "NONE",
    "theorem": "signal processing",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "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.",
    "Answer": [
      2,
      2
    ],
    "Picture": "images/diagram.png",
    "Answer_type": "list of integer",
    "source": "stochastic process: Example 3.7",
    "id": "mingyin/markov-chain2.json",
    "explanation": "NONE",
    "theorem": "markov decision processes",
    "subfield": "Stochastic process",
    "field": "Math"
  },
  {
    "Question": "Find the size of angle x in the figure.",
    "Answer": 24,
    "Answer_type": "integer",
    "Picture": "images/geometry_grade_9_5.jpg",
    "source": "website | https://www.analyzemath.com/middle_school_math/grade_9/geometry_sol.html#",
    "id": "wenhuchen/quadrilateral1.json",
    "explanation": "NONE",
    "theorem": "quadrilateral",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "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?",
    "Answer": 839,
    "Answer_type": "integer",
    "Picture": "images/ipnetwork19-tcp.png",
    "source": "website | https://vinesmsuic.github.io/notes-networkingIP-qa2/",
    "id": "maxku/ipnetwork19-tcp.json",
    "explanation": "NONE",
    "theorem": "transmission control protocol",
    "subfield": "Computer networking",
    "field": "EECS"
  },
  {
    "Question": "Determine the AC power gain for the common-emitter amplifier in the figure. Assume that $\\beta_{ac} = 100$, the internal emitter resistance $r_e = 12.3 \\Omega$.",
    "Answer": 33540,
    "Answer_type": "integer",
    "Picture": "images/basic-electronics-7-3.png",
    "source": "self",
    "id": "maxku/basic-electronics-7-3.json",
    "explanation": "NONE",
    "theorem": "ohm's law",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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.",
    "Answer": [
      -4,
      0
    ],
    "Answer_type": "list of integer",
    "Picture": "images/cv-videoprocessing3-motion-vector.png",
    "source": "self",
    "id": "maxku/cv-videoprocessing3-motion-vector.json",
    "explanation": "NONE",
    "theorem": "motion vector",
    "subfield": "Signal processing",
    "field": "EECS"
  },
  {
    "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?",
    "Answer": 12,
    "Answer_type": "integer",
    "Picture": "images/geometry_2.jpg",
    "source": "website | https://www.gogeometry.com/problem/index.html",
    "id": "wenhuchen/quadrilateral2.json",
    "explanation": "NONE",
    "theorem": "quadrilateral",
    "subfield": "Geometry",
    "field": "Math"
  },
  {
    "Question": "Given $V_s$ = 5V, $R_1$ = 1k\u03a9, $R_2$ = 2.2k\u03a9, $R_3$ = 2.2k\u03a9, $R_4$ = 1.5k\u03a9, and $R_L$ = 4.7k\u03a9. Determine the voltage and current across $R_L$. Answer in unit of V (3 sig.fig.).",
    "Answer": 1.06,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-H2-3.png",
    "source": "self",
    "id": "maxku/basic-electronics-H2-3.json",
    "explanation": "NONE",
    "theorem": "th\u00e9venin's theorem",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "What is the RC time constant of the circuit in seconds?",
    "Answer": 3800.0,
    "Answer_type": "float",
    "Picture": "images/physics_circuits_1.jpg",
    "source": "textbook | https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_University_Physics_(OpenStax)/Book%3A_University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/10%3A_Direct-Current_Circuits/10.0E%3A_10.E%3A_Direct-Current_Circuits_(Exercise)",
    "id": "xueguangma/physics_circuits_1.json",
    "explanation": "NONE",
    "theorem": "electronic circuit theorem",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "Question": "Calculate the total capacitive reactance in the figure. Answer in unit of Ohm (3 sig.fig.).",
    "Answer": 3.18,
    "Answer_type": "float",
    "Picture": "images/basic-electronics-5-3.png",
    "source": "self",
    "id": "maxku/basic-electronics-5-3.json",
    "explanation": "NONE",
    "theorem": "rc circuit",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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.",
    "Answer": [
      -5.0,
      -8.33,
      -6.66,
      0.0
    ],
    "Answer_type": "list of float",
    "Picture": "images/basic-electronics-2-2.png",
    "source": "self",
    "id": "maxku/basic-electronics-2-2.json",
    "explanation": "NONE",
    "theorem": "ohm's law",
    "subfield": "Electromagnetism",
    "field": "Physics"
  },
  {
    "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 the rectangular region. They must all fit within the region, and they must cover it completely without overlapping. What is the minimum number of tiles required to tile the region?",
    "Answer": 99,
    "Picture": "images/square1.png",
    "Answer_type": "integer",
    "source": "Putnam math competition",
    "id": "mingyin/combinatorial-math1.json",
    "explanation": "solutions/mingyin_combinatorial-math1.png",
    "theorem": "counting",
    "subfield": "Combinatorics",
    "field": "Math"
  }
]