query string | answer string | doc_name string | evidence_page list | bbox list | rel_bbox list | subimg_type list | category string |
|---|---|---|---|---|---|---|---|
In the figure, which letter uniquely receives two arrows, and from which letters do they come? | D; from C and E. | 2311.07631 | [
4
] | [
[
[
281,
2228,
1890,
2941
]
]
] | [
[
[
110.196078,
675.151515,
741.176471,
891.212121
]
]
] | [
[
"image"
]
] | cs |
In the identities table, what AI entry corresponds to the DS term 'rational'? | machine | 2311.07631 | [
26
] | [
[
[
305,
1512,
1520,
2005
]
]
] | [
[
[
119.607843,
458.181818,
596.078431,
607.575758
]
]
] | [
[
"table"
]
] | cs |
For rows with focus 'human', list each area and its first-listed topic in table order. | design—ontologies; value—ethics | 2311.07631 | [
26
] | [
[
[
287,
2025,
2263,
2527
]
]
] | [
[
[
112.54902,
613.636364,
887.45098,
765.757576
]
]
] | [
[
"table"
]
] | cs |
Which AREA numerals show a prime mark, and how many named DOMAINS (excluding 'etc') are listed? | II' and III'; four. | 2311.07631 | [
8
] | [
[
[
546,
2096,
1987,
2812
]
]
] | [
[
[
214.117647,
635.151515,
779.215686,
852.121212
]
]
] | [
[
"image"
]
] | cs |
Listing the right-hand terms from top to bottom in DS then AI, what sequence appears? | concrete, machine, action, rational | 2311.07631 | [
26
] | [
[
[
874,
1238,
1708,
1494
]
]
] | [
[
[
342.745098,
375.151515,
669.803922,
452.727273
]
]
] | [
[
"table"
]
] | cs |
In Table 1, which two cells contain primed Roman numerals, and what keywords appear beneath them? | Human-Abstract DESIGN; Machine-Concrete SYSTEMS | 2311.07631 | [
9
] | [
[
[
719,
1244,
1796,
1770
]
]
] | [
[
[
281.960784,
376.969697,
704.313725,
536.363636
]
]
] | [
[
"table"
]
] | cs |
In the described spiral process, between which two poles does it oscillate, and what page number is cited for the processual definition? | Diversification and simplification; p. 41. | 2311.07631 | [
15
] | [
[
[
290,
2025,
2245,
2985
]
]
] | [
[
[
113.72549,
613.636364,
880.392157,
904.545455
]
]
] | [
[
"text"
]
] | cs |
In the excerpt, what verb describes how the two principal components relate to the general field of data science? | undergird | 2311.07631 | [
9
] | [
[
[
293,
2812,
2187,
2991
]
]
] | [
[
[
114.901961,
852.121212,
857.647059,
906.363636
]
]
] | [
[
"text"
]
] | cs |
In the passage, which area contains people good at working with abstract machinery, and what does the model describe instead of objective reality? | The analytics area; areas of academic expertise. | 2311.07631 | [
11
] | [
[
[
293,
2436,
2222,
2888
]
]
] | [
[
[
114.901961,
738.181818,
871.372549,
875.151515
]
]
] | [
[
"text"
]
] | cs |
According to the sentence, what two claims are made about definitions' inclusiveness and relative breadth? | None includes them all; some are more comprehensive. | 2311.07631 | [
3
] | [
[
[
287,
1826,
2196,
1937
]
]
] | [
[
[
112.54902,
553.333333,
861.176471,
586.969697
]
]
] | [
[
"text"
]
] | cs |
In Figure 1’s confusion matrix, which utility label and exact probability symbol correspond to the true positives (positive case)? | U11 and p^s_11 | 2405.09360 | [
2
] | [
[
[
1324,
249,
2351,
1074
]
]
] | [
[
[
519.215686,
75.454545,
921.960784,
325.454545
]
]
] | [
[
"image"
]
] | econ |
In the proof’s construction with PD(Y=1, Ŷ=1)>0, which parameter equalities set UD3 and UD2 to zero, and what value is chosen for U10? | U01=U10; U00=U10; U10=0. | 2405.09360 | [
11
] | [
[
[
211,
1987,
1241,
2935
]
]
] | [
[
[
82.745098,
602.121212,
486.666667,
889.393939
]
]
] | [
[
"image"
]
] | econ |
In the 'Mortgage example' plot, what is the numerical difference between the mean μ of X_T and the barrier b shown in the legend? | 20,000 | 2405.09360 | [
8
] | [
[
[
1309,
205,
2339,
998
]
]
] | [
[
[
513.333333,
62.121212,
917.254902,
302.424242
]
]
] | [
[
"image"
]
] | econ |
Under Proposition 12 (U ≥ 0), the upper bound of the utility difference is given by what product, and which equation number labels it? | tilde U times Π*, equation (20) | 2405.09360 | [
8
] | [
[
[
214,
1262,
1227,
1650
]
]
] | [
[
[
83.921569,
382.424242,
481.176471,
500
]
]
] | [
[
"image"
]
] | econ |
In Figure 3's confusion matrix, which U-region spans both Y=0 and Y=1 under Ŷ=0, and what gray p^s term appears inside it? | U_0; p^s_0 | 2405.09360 | [
6
] | [
[
[
1327,
252,
2334,
989
]
]
] | [
[
[
520.392157,
76.363636,
915.294118,
299.69697
]
]
] | [
[
"image"
]
] | econ |
Under the text’s fairness notion at level τ = 0, what inequality must the utility difference UD satisfy? | UD ≤ 0 | 2405.09360 | [
3
] | [
[
[
214,
918,
1218,
1814
]
]
] | [
[
[
83.921569,
278.181818,
477.647059,
549.69697
]
]
] | [
[
"image"
]
] | econ |
In the excerpt, what is the equation number for Es[U] = U·Ps + U10, and which probabilities must coincide for fairness to hold? | 5; joint probabilities of both groups. | 2405.09360 | [
3
] | [
[
[
1312,
223,
2337,
601
]
]
] | [
[
[
514.509804,
67.575758,
916.470588,
182.121212
]
]
] | [
[
"image"
]
] | econ |
According to equation (18), (C)UA holds if which two PD expressions are zero? | PD(Y=1|Ŷ=1) and PD(Ŷ=0) | 2405.09360 | [
6
] | [
[
[
1327,
2322,
2331,
2827
]
]
] | [
[
[
520.392157,
703.636364,
914.117647,
856.666667
]
]
] | [
[
"image"
]
] | econ |
In Proposition 8’s second claim, what factor multiplies ε·K in the no-disadvantage bound, and which norm of PD is used in the inequality for |UD|? | 1 + 2Γ; the infinity norm ||PD||∞. | 2405.09360 | [
11
] | [
[
[
1324,
731,
2339,
2938
]
]
] | [
[
[
519.215686,
221.515152,
917.254902,
890.30303
]
]
] | [
[
"image"
]
] | econ |
In Proposition 7, assuming statistical parity and equalized odds with U_01 = U_10, what value is U_3 concluded to have, and which equation number is cited for the claim? | U_3 = 0; Equation (7). | 2405.09360 | [
11
] | [
[
[
1315,
231,
2328,
707
]
]
] | [
[
[
515.686275,
70,
912.941176,
214.242424
]
]
] | [
[
"image"
]
] | econ |
According to Theorem 1, under what tail relation does asymptotic learning of informativeness fail? | Uninformative signals have thinner tails than informative signals. | 2406.05299 | [
9
] | [
[
[
290,
1161,
2200,
1307
]
]
] | [
[
[
116.888351,
330.957811,
886.739218,
372.576967
]
]
] | [
[
"image"
]
] | econ |
Conditioned on θ and ω=1, when a_t = b, what are both the exact update for r_{t+1} and the probability of that action (include signs)? | r_{t+1}=r_t+D_b(r_t); probability F_θ(-r_t). | 2406.05299 | [
10
] | [
[
[
290,
2131,
2190,
2955
]
]
] | [
[
[
116.888351,
607.468643,
882.708585,
842.360319
]
]
] | [
[
"image"
]
] | econ |
In Proposition 2, conditioning on which ω value must both events {ā = g} and {ā = b} have zero probability for asymptotic learning of informativeness to hold? | ω = 0 | 2406.05299 | [
12
] | [
[
[
287,
905,
2187,
1048
]
]
] | [
[
[
115.679162,
257.981756,
881.499395,
298.745724
]
]
] | [
[
"image"
]
] | econ |
In Claim 2’s displayed equality, when conditioning on π_t = π, which probability measure appears on the right-hand side? | P_{tilde ω, tilde θ, π} | 2406.05299 | [
11
] | [
[
[
284,
736,
2194,
1376
]
]
] | [
[
[
114.469972,
209.806157,
884.320838,
392.246294
]
]
] | [
[
"image"
]
] | econ |
In the tail-thickness definitions, which specific L_θ and R_θ are bounded below by ε for fatter tails, and which are bounded above by 1/ε for thinner tails? | L_b and R_g ≥ ε; L_g or R_b ≤ 1/ε. | 2406.05299 | [
8
] | [
[
[
280,
1239,
2187,
2490
]
]
] | [
[
[
112.857719,
353.192702,
881.499395,
709.806157
]
]
] | [
[
"image"
]
] | econ |
In equation (A.1), what term multiplies P[ω = 0]? | P0[A∞(k)] | 2406.05299 | [
16
] | [
[
[
293,
699,
2184,
1888
]
]
] | [
[
[
118.097541,
199.258837,
880.290206,
538.198404
]
]
] | [
[
"image"
]
] | econ |
In the proof, what explicit expression does Bayes’ rule give for the ratio P0[q_t = q̃] divided by P1[q_t = q̃]? | (1−q̃)/q̃ × γ/(1−γ) | 2406.05299 | [
15
] | [
[
[
280,
1860,
2200,
3011
]
]
] | [
[
[
112.857719,
530.216648,
886.739218,
858.323831
]
]
] | [
[
"image"
]
] | econ |
In the log-odds formulations, what variables are conditioned on for r_t versus L_t? | r_t: H_t; L_t: H_t and s_t. | 2406.05299 | [
10
] | [
[
[
290,
1154,
2190,
2081
]
]
] | [
[
[
116.888351,
328.962372,
882.708585,
593.215507
]
]
] | [
[
"image"
]
] | econ |
Using the symmetry r_t^b = −r_t^g, in which numbered equation does the condition become ∑_{t=1}^∞ (1 − F_g(•)) = ∞, and what is •? | (6); r_t^g | 2406.05299 | [
12
] | [
[
[
290,
1391,
2200,
3158
]
]
] | [
[
[
116.888351,
396.522235,
886.739218,
900.22805
]
]
] | [
[
"image"
]
] | econ |
In the proof, what principle gives the bound on π_{τ+1}, and what property justifies the final equality in the chain of expectations? | Overturning principle; stationarity property. | 2406.05299 | [
17
] | [
[
[
284,
1257,
2187,
2428
]
]
] | [
[
[
114.469972,
358.323831,
881.499395,
692.132269
]
]
] | [
[
"image"
]
] | econ |
What exact equation characterizes α* where the randomized payoff is maximized? | α* + ln(1−α*)·(1−α*) = c0 | 2406.11528 | [
11
] | [
[
[
302,
584,
2193,
1773
]
]
] | [
[
[
118.431373,
176.969697,
860,
537.272727
]
]
] | [
[
"image"
]
] | econ |
According to the proof, after rewriting the limit in x, what exact expression appears under the square root in the denominator? | x + ln(1 − x) · (1 − x) | 2406.11528 | [
11
] | [
[
[
296,
1808,
2257,
2486
]
]
] | [
[
[
116.078431,
547.878788,
885.098039,
753.333333
]
]
] | [
[
"image"
]
] | econ |
According to inequality (5), which denominator appears under (∑√c_i(a_i))^2? | ∑_{i=1}^n α_i | 2406.11528 | [
14
] | [
[
[
281,
1453,
2263,
2912
]
]
] | [
[
[
110.196078,
440.30303,
887.45098,
882.424242
]
]
] | [
[
"image"
]
] | econ |
In the final inequality, E_Fw[y − w(y)] is bounded by what expression that is set equal to u(α*)/−ln(1−α*)? | (1 − α_w) · e*(α_w) | 2406.11528 | [
10
] | [
[
[
290,
965,
2254,
2639
]
]
] | [
[
[
113.72549,
292.424242,
883.921569,
799.69697
]
]
] | [
[
"image"
]
] | econ |
In (P1) the function e(α) appears; in the proof’s argmax definition, what ordered pair defines a(α), and which symbol replaces e(α) as its first component? | a(α)=(F(α), c(α)); F(α). | 2406.11528 | [
7
] | [
[
[
273,
2216,
2257,
3038
]
]
] | [
[
[
107.058824,
671.515152,
885.098039,
920.606061
]
]
] | [
[
"image"
]
] | econ |
In the expression defining V_P(A_0), what is the subscript on y inside the expectation and is A constrained to be a superset or subset of A_0 in the inner minimization? | y_1; superset (A ⊇ A_0). | 2406.11528 | [
18
] | [
[
[
308,
2034,
2248,
2278
]
]
] | [
[
[
120.784314,
616.363636,
881.568627,
690.30303
]
]
] | [
[
"image"
]
] | econ |
In the displayed maximization defining λ*, how many times does the fraction λ/(λ+1) appear in the objective, and where relative to the expectations E_F0[·]? | Twice: before E_F0[y1] and inside b preceding E_F0[y]. | 2406.11528 | [
18
] | [
[
[
296,
2313,
2260,
2592
]
]
] | [
[
[
116.078431,
700.909091,
886.27451,
785.454545
]
]
] | [
[
"image"
]
] | econ |
In Lemma 4.3, which relation holds between A and A0, and what exact expression (including the sign) upper-bounds any contract’s payoff with respect to A? | A ⊇ A0; u(α*)/−ln(1−α*). | 2406.11528 | [
6
] | [
[
[
305,
1802,
2260,
1958
]
]
] | [
[
[
119.607843,
546.060606,
886.27451,
593.333333
]
]
] | [
[
"image"
]
] | econ |
In program (P3), over which exact set of α are both the integral and the universal quantifier taken? | α ∈ R_+^n with ∑_{i=1}^n α_i ≤ 1. | 2406.11528 | [
13
] | [
[
[
302,
2566,
2257,
3047
]
]
] | [
[
[
118.431373,
777.575758,
885.098039,
923.333333
]
]
] | [
[
"image"
]
] | econ |
In the definition of e*(α), which variable is inside the logarithm, and what exact factor multiplies the logarithm in the denominator? | α*; −(1 − α). | 2406.11528 | [
9
] | [
[
[
281,
1923,
2278,
3026
]
]
] | [
[
[
110.196078,
582.727273,
893.333333,
916.969697
]
]
] | [
[
"image"
]
] | econ |
From the shown outputs, what is p_value (kendall_cor_test with alternative='less') minus the Kendall correlation returned by kendall_cor(x, y)? | 0.8423971 | 2408.09618 | [
9
] | [
[
[
287,
1541,
2266,
2965
]
]
] | [
[
[
112.54902,
466.969697,
888.627451,
898.484848
]
]
] | [
[
"image"
]
] | econ |
In the legend titled 'Implementation', which implementation uses orange circles, and what is the rightmost x-axis tick label? | kendallknight; 100,000 | 2408.09618 | [
7
] | [
[
[
287,
2008,
1961,
2883
]
]
] | [
[
[
112.54902,
608.484848,
769.019608,
873.636364
]
]
] | [
[
"image"
]
] | econ |
Compute (base R time at 20,000 − base R time at 10,000) − (kendallknight time at 20,000 − kendallknight time at 10,000). | 4.055 s | 2408.09618 | [
6
] | [
[
[
302,
2771,
2254,
3009
]
]
] | [
[
[
118.431373,
839.69697,
883.921569,
911.818182
]
]
] | [
[
"table"
]
] | econ |
At what number of observations does kendallknight first exceed base R memory by more than 2.5 MB? | 90,000 | 2408.09618 | [
7
] | [
[
[
281,
1039,
2263,
1843
]
]
] | [
[
[
110.196078,
314.848485,
887.45098,
558.484848
]
]
] | [
[
"table"
]
] | econ |
In the two install commands shown, which uses a dot and which uses an underscore in the function name for CRAN vs GitHub? | CRAN: install.packages; GitHub: install_github. | 2408.09618 | [
9
] | [
[
[
278,
992,
2266,
1300
]
]
] | [
[
[
109.019608,
300.606061,
888.627451,
393.939394
]
]
] | [
[
"image"
]
] | econ |
For a dataset with 20,000 observations, approximately how many times more operations does O(n^2) require than O(n log(n)) to obtain the Kendall’s correlation coefficient? | About 2020 times. | 2408.09618 | [
3
] | [
[
[
290,
2571,
2257,
2800
]
]
] | [
[
[
113.72549,
779.090909,
885.098039,
848.484848
]
]
] | [
[
"text"
]
] | econ |
List the four citation years mentioned, in the order they appear. | 1966, 1999, 2005, 2024 | 2408.09618 | [
3
] | [
[
[
287,
2284,
2260,
2521
]
]
] | [
[
[
112.54902,
692.121212,
886.27451,
763.939394
]
]
] | [
[
"text"
]
] | econ |
According to the text, what is Kendall’s R implementation complexity and the example observation count at which it can be slow? | O(n^2); 10,000 observations or more. | 2408.09618 | [
3
] | [
[
[
299,
1823,
2263,
2237
]
]
] | [
[
[
117.254902,
552.424242,
887.45098,
677.878788
]
]
] | [
[
"text"
]
] | econ |
According to the passage, besides precision, what is not sacrificed? | correct handling of corner cases | 2408.09618 | [
3
] | [
[
[
290,
2841,
2251,
2988
]
]
] | [
[
[
113.72549,
860.909091,
882.745098,
905.454545
]
]
] | [
[
"text"
]
] | econ |
Comparing steps 6 and 7, which tie-count variables are subtracted from m in each case for computing t and r(x, y)'s denominator? | Step 6: t_x, t_y; Step 7: m_x, m_y. | 2408.09618 | [
6
] | [
[
[
361,
725,
2254,
1447
]
]
] | [
[
[
141.568627,
219.69697,
883.921569,
438.484848
]
]
] | [
[
"text"
]
] | econ |
Which circled numbers label, in order: trust service providers authorized by regulators, revoking certificates, integrators, and signature creation? | ①, ②, ③, ④ | 2408.14349 | [
4
] | [
[
[
278,
1685,
2128,
2692
]
]
] | [
[
[
109.019608,
510.606061,
834.509804,
815.757576
]
]
] | [
[
"image"
]
] | cs |
Which single number labels both the APIs→Third-party Platforms link and the SFTP systems→Institutional Platforms link? | 8 | 2408.14349 | [
5
] | [
[
[
322,
728,
2157,
2008
]
]
] | [
[
[
126.27451,
220.606061,
845.882353,
608.484848
]
]
] | [
[
"image"
]
] | cs |
Which selected solution has different validity status between Türkiye and the European Union? | Remote Signature | 2408.14349 | [
3
] | [
[
[
293,
496,
2128,
930
]
]
] | [
[
[
114.901961,
150.30303,
834.509804,
281.818182
]
]
] | [
[
"table"
]
] | cs |
Whose systematization inspired their methodology, and to what was it applied? | Simmons and colleagues; Qualified Electronic Signatures (QES). | 2408.14349 | [
2
] | [
[
[
293,
1465,
2134,
1685
]
]
] | [
[
[
114.901961,
443.939394,
836.862745,
510.606061
]
]
] | [
[
"text"
]
] | cs |
Which three media are listed for creating qualified electronic signatures? | QES tokens, QES in the national IDs, mobile signatures. | 2408.14349 | [
11
] | [
[
[
287,
1054,
2119,
1159
]
]
] | [
[
[
112.54902,
319.393939,
830.980392,
351.212121
]
]
] | [
[
"text"
]
] | cs |
According to the paragraph and the caption, how many authorized offices does the cited operator have, which operator is it, and from which platform are the screenshots? | 94; Vodafone; e-Devlet | 2408.14349 | [
10
] | [
[
[
299,
554,
2137,
689
]
]
] | [
[
[
117.254902,
167.878788,
838.039216,
208.787879
]
]
] | [
[
"text"
]
] | cs |
The text expands JNLP in two ways; what single-word difference appears between them? | Launch versus Launching | 2408.14349 | [
14
] | [
[
[
290,
1893,
2131,
2665
]
]
] | [
[
[
113.72549,
573.636364,
835.686275,
807.575758
]
]
] | [
[
"text"
]
] | cs |
Across the crops, what is the third institution listed, and what acronym labels the registered email address accessible after QES authentication? | Postal and telegraph organization; KEP. | 2408.14349 | [
13
] | [
[
[
293,
2046,
2122,
2154
]
]
] | [
[
[
114.901961,
620,
832.156863,
652.727273
]
]
] | [
[
"text"
]
] | cs |
In the related work, what reference numbers are used for Truong and Minh-Tuan in their initial mention and in the later comparison? | 15 and 14 | 2408.14349 | [
6
] | [
[
[
293,
601,
2128,
1908
]
]
] | [
[
[
114.901961,
182.121212,
834.509804,
578.181818
]
]
] | [
[
"text"
]
] | cs |
According to the text, which step applies cognitive walkthroughs, and what specific relationship between ELS and QES is suggested? | Third step; ELS is a subset of QES. | 2408.14349 | [
2
] | [
[
[
287,
1699,
2128,
1846
]
]
] | [
[
[
112.54902,
514.848485,
834.509804,
559.393939
]
]
] | [
[
"text"
]
] | cs |
In the Lagrangian L(α_c, κ_{i,c}, λ), what are the summation ranges for the first double sum and for the λ-parentheses term, respectively? | i=1..n, c=1..C; c=1..C | 2409.08773 | [
40
] | [
[
[
449,
1344,
2105,
2818
]
]
] | [
[
[
176.078431,
407.272727,
825.490196,
853.939394
]
]
] | [
[
"image"
]
] | econ |
In the 'Cluster 1' plot, what are the highest y-axis tick value and the leftmost x-axis tick label shown? | 30 and 0.75 | 2409.08773 | [
28
] | [
[
[
463,
684,
1212,
1444
]
]
] | [
[
[
181.568627,
207.272727,
475.294118,
437.575758
]
]
] | [
[
"image"
]
] | econ |
Between n=400 and n=800 in panel (a), which has the lower minimum Rand Index, and according to panel (b) what number of clusters is selected for that same n? | n=400; 4 | 2409.08773 | [
26
] | [
[
[
458,
957,
2105,
2031
]
]
] | [
[
[
179.607843,
290,
825.490196,
615.454545
]
]
] | [
[
"image"
]
] | econ |
What is the difference between Cluster 4’s highest Treatment tick and Cluster 5’s lowest Treatment tick? | 0.25 | 2409.08773 | [
45
] | [
[
[
458,
1526,
2099,
2401
]
]
] | [
[
[
179.607843,
462.424242,
823.137255,
727.575758
]
]
] | [
[
"image"
]
] | econ |
At approximately Treatment=6 in the plot, which estimator has the highest predicted Outcome among the four curves? | Unweighted Est. | 2409.08773 | [
7
] | [
[
[
443,
927,
2093,
2061
]
]
] | [
[
[
173.72549,
280.909091,
820.784314,
624.545455
]
]
] | [
[
"image"
]
] | econ |
In the CI-DRF minimization problem, what is the exact constraint on κ and which numbered equations must hold for optimal solutions? | ∑_{c=1}^C κ_{i,c}=1; Equations (3) and (4). | 2409.08773 | [
18
] | [
[
[
458,
1553,
2093,
2292
]
]
] | [
[
[
179.607843,
470.606061,
820.784314,
694.545455
]
]
] | [
[
"image"
]
] | econ |
In Figure B.16, which estimator’s partitions are evaluated by the Rand Index, and what single number of clusters is selected for both n=400 and n=800? | CI-DRF; 3 | 2409.08773 | [
46
] | [
[
[
466,
1294,
2093,
2354
]
]
] | [
[
[
182.745098,
392.121212,
820.784314,
713.333333
]
]
] | [
[
"image"
]
] | econ |
Comparing the OLS summation and matrix forms, which index appears on κ in κ_{i,c}^{(init)} but not in (Z' κ_c^{(init)} Z)^{-1} Z κ_c^{(init)} y? | i | 2409.08773 | [
19
] | [
[
[
449,
1808,
2084,
2560
]
]
] | [
[
[
176.078431,
547.878788,
817.254902,
775.757576
]
]
] | [
[
"image"
]
] | econ |
At EU funds per capita ≈400, order the three ADRF estimates from highest to lowest growth rate. | DCOW-weighted (green) > HI2004 (red) > Unweighted (purple) | 2409.08773 | [
31
] | [
[
[
437,
1658,
2087,
2739
]
]
] | [
[
[
171.372549,
502.424242,
818.431373,
830
]
]
] | [
[
"image"
]
] | econ |
Using the caption and the plot, which function is described as average, and what symbol labels it on the curve? | Dose-response; µ(t) | 2409.08773 | [
13
] | [
[
[
551,
1186,
1946,
1984
]
]
] | [
[
[
216.078431,
359.393939,
763.137255,
601.212121
]
]
] | [
[
"image"
]
] | econ |
In Assumption 5, En[Z^T M_X ? Y] ≠ 0 appears in both parts. What symbol replaces '?' in parts i and ii, respectively? | G in i, A in ii. | 2410.14317 | [
17
] | [
[
[
287,
1080,
1852,
1591
]
]
] | [
[
[
112.54902,
327.272727,
726.27451,
482.121212
]
]
] | [
[
"image"
]
] | econ |
According to Assumption 1 (Exchangeability), on which set is the permutation π defined? | {1,…,n} ∖ {i} | 2410.14317 | [
6
] | [
[
[
293,
2193,
1652,
2574
]
]
] | [
[
[
114.901961,
664.545455,
647.843137,
780
]
]
] | [
[
"image"
]
] | econ |
In the restricted model, what are β_{k,d} (for k<d), β_{d,d}, and the d range these restrictions apply to? | β_-max/(d-1); β_{d,d}=β_max; d=1,...,5. | 2410.14317 | [
21
] | [
[
[
296,
2480,
2269,
2953
]
]
] | [
[
[
116.078431,
751.515152,
889.803922,
894.848485
]
]
] | [
[
"image"
]
] | econ |
Which equation number labels the full-rank matrix, and to which corollary are the authors’ different conditions related and in which assumption are they given? | Equation (9), Corollary 1, Assumption 4. | 2410.14317 | [
13
] | [
[
[
284,
1570,
2260,
2563
]
]
] | [
[
[
111.372549,
475.757576,
886.27451,
776.666667
]
]
] | [
[
"image"
]
] | econ |
According to Theorem 2, which assumptions are invoked, and in the TSLS estimator expression, which summation uniquely has a 1/√n coefficient instead of 1/n? | Assumptions 2-4 and 6; the sum ∑ z_i Y_i. | 2410.14317 | [
26
] | [
[
[
287,
1873,
1858,
2909
]
]
] | [
[
[
112.54902,
567.575758,
728.627451,
881.515152
]
]
] | [
[
"image"
]
] | econ |
In the theorem shown, which theorem establishes identification, what lower bound on n is given, and what is the equation number of the moment condition? | Theorem 1; n ≥ d(d+1)/2 + l; (11). | 2410.14317 | [
15
] | [
[
[
293,
2345,
2284,
2888
]
]
] | [
[
[
114.901961,
710.606061,
895.686275,
875.151515
]
]
] | [
[
"image"
]
] | econ |
Which identity-matrix symbol differs between the inverses defining θ and θ̃ rows? | I for θ; I_n for θ̃. | 2410.14317 | [
32
] | [
[
[
290,
1520,
2257,
2624
]
]
] | [
[
[
113.72549,
460.606061,
885.098039,
795.151515
]
]
] | [
[
"image"
]
] | econ |
In the definition of β_ij(π), when A_ij = 1, by what exact summation equality is k determined? | ∑_{j'=1}^{π^{-1}(j)} A_{iπ(j')} = k | 2410.14317 | [
31
] | [
[
[
305,
1699,
2287,
2900
]
]
] | [
[
[
119.607843,
514.848485,
896.862745,
878.787879
]
]
] | [
[
"image"
]
] | econ |
According to the text under Eq. (2), from which set and by what ordering is Ỹi,k selected? | k-th lowest of {Y_j: j is a peer of i} | 2410.14317 | [
3
] | [
[
[
302,
939,
2257,
1732
]
]
] | [
[
[
118.431373,
284.545455,
885.098039,
524.848485
]
]
] | [
[
"image"
]
] | econ |
After aggregating across k and i, which exact constant multiplies ||y − y'||∞ in the final bound on ||g(y) − g(y')||∞? | β̄ | 2410.14317 | [
30
] | [
[
[
287,
733,
2260,
2680
]
]
] | [
[
[
112.54902,
222.121212,
886.27451,
812.121212
]
]
] | [
[
"image"
]
] | econ |
Which variable has negative dy/dx in both services and shifts from 1% significance for shelling to 10% for ploughing? | Farm size; negative in both. | 2411.15797 | [
11
] | [
[
[
299,
1001,
2269,
2375
]
]
] | [
[
[
117.254902,
303.333333,
889.803922,
719.69697
]
]
] | [
[
"table"
]
] | econ |
Which constraint ranks last among 'No' respondents but second overall? | Machines not available | 2411.15797 | [
14
] | [
[
[
302,
1738,
2222,
2783
]
]
] | [
[
[
118.431373,
526.666667,
871.372549,
843.333333
]
]
] | [
[
"table"
]
] | econ |
Comparing ploughing and shelling, what are the absolute differences in their 'Yes' and 'No' proportions, respectively? | 0.01 and 0.01 | 2411.15797 | [
10
] | [
[
[
290,
484,
2301,
1652
]
]
] | [
[
[
113.72549,
146.666667,
902.352941,
500.606061
]
]
] | [
[
"image"
]
] | econ |
Compute |(mean No − mean Yes) − reported Diff| from the table. | 0.0001 | 2411.15797 | [
13
] | [
[
[
252,
1450,
2272,
1967
]
]
] | [
[
[
98.823529,
439.393939,
890.980392,
596.060606
]
]
] | [
[
"table"
]
] | econ |
What is the total number of respondents from the communities with hyphenated names? | 31 | 2411.15797 | [
5
] | [
[
[
293,
2460,
2269,
2953
]
]
] | [
[
[
114.901961,
745.454545,
889.803922,
894.848485
]
]
] | [
[
"table"
]
] | econ |
In the table, which two independent variables have their expected-sign symbols placed before the variable names rather than in the Expected Sign column? | Farming_experience and Profit_per_acre | 2411.15797 | [
7
] | [
[
[
293,
962,
2334,
2143
]
]
] | [
[
[
114.901961,
291.515152,
915.294118,
649.393939
]
]
] | [
[
"table"
]
] | econ |
According to the paragraph, which metric reveals the disparity between operational costs and revenue, and which financial indicator's mean is compared using a t-test? | Gross Profit Margin; net profit. | 2411.15797 | [
7
] | [
[
[
270,
2207,
2251,
2451
]
]
] | [
[
[
105.882353,
668.787879,
882.745098,
742.727273
]
]
] | [
[
"text"
]
] | econ |
By how many points does the mean score of environmental regulations/concerns exceed that of financial issues? | 3.75 | 2411.15797 | [
14
] | [
[
[
293,
936,
2266,
1271
]
]
] | [
[
[
114.901961,
283.636364,
888.627451,
385.151515
]
]
] | [
[
"text"
]
] | econ |
According to the excerpt, who is credited with propounding the Profit Maximization Theory and in what year? | Adam Smith, 2000 | 2411.15797 | [
3
] | [
[
[
299,
2442,
2257,
2856
]
]
] | [
[
[
117.254902,
740,
885.098039,
865.454545
]
]
] | [
[
"text"
]
] | econ |
According to the survey, how many of how many respondents used tractor services, and what percentage was this? | 322 of 359 respondents, 89.7%. | 2411.15797 | [
11
] | [
[
[
293,
2410,
2266,
2695
]
]
] | [
[
[
114.901961,
730.30303,
888.627451,
816.666667
]
]
] | [
[
"text"
]
] | econ |
According to Corollary 2, which two conditions are satisfied besides being a homogeneous, neutral, pairwise Condorcet extension? | optimist participation and positive responsiveness | 2411.19857 | [
17
] | [
[
[
277,
1616,
2200,
1732
]
]
] | [
[
[
111.648529,
460.661345,
886.739218,
493.72862
]
]
] | [
[
"image"
]
] | econ |
Which theorem number, and under which participation condition, states that a homogeneous Condorcet extension is a refinement of maximin? | Optimist participation; Theorem 5. | 2411.19857 | [
14
] | [
[
[
287,
1164,
2197,
1282
]
]
] | [
[
[
115.679162,
331.812999,
885.530028,
365.450399
]
]
] | [
[
"image"
]
] | econ |
According to the proof, who is the Condorcet winner in P1, and what is f(P1+P2) after rearranging voters using anonymity? | c; {a} | 2411.19857 | [
10
] | [
[
[
287,
1572,
2197,
3195
]
]
] | [
[
[
115.679162,
448.118586,
885.530028,
910.775371
]
]
] | [
[
"image"
]
] | econ |
Across all blocks (Case 1, Case 2, and the unlabeled ones), what is the difference between the maximum number beside b and the smallest nonzero number beside c? | 11 | 2411.19857 | [
12
] | [
[
[
596,
1223,
1956,
1482
]
]
] | [
[
[
240.225715,
348.631699,
788.391778,
422.462942
]
]
] | [
[
"image"
]
] | econ |
According to the excerpt, which lemma specifies when f equals maximin, and what two conditions on f are required? | Lemma 4; continuous and a refinement of maximin. | 2411.19857 | [
18
] | [
[
[
290,
2833,
2200,
2943
]
]
] | [
[
[
116.888351,
807.582668,
886.739218,
838.939567
]
]
] | [
[
"image"
]
] | econ |
In the definition of f_defensible(P), which variable is universally quantified and which is existentially quantified? | y universal; z existential. | 2411.19857 | [
13
] | [
[
[
293,
2050,
2190,
2549
]
]
] | [
[
[
118.097541,
584.378563,
882.708585,
726.624857
]
]
] | [
[
"image"
]
] | econ |
Across the first rows of profiles P7 and P8 (from P1+P2 and P1+P3), how many colored c's appear in total? | 5 | 2411.19857 | [
9
] | [
[
[
283,
586,
2215,
2980
]
]
] | [
[
[
114.066909,
167.04675,
892.785167,
849.486887
]
]
] | [
[
"image"
]
] | econ |
In Corollary 3, besides optimist participation, which additional property ensures Nanson’s rule uniquely among homogeneous, neutral, pairwise strong Condorcet extensions? | tie-break positive responsiveness | 2411.19857 | [
18
] | [
[
[
284,
2259,
2194,
2359
]
]
] | [
[
[
114.469972,
643.95667,
884.320838,
672.462942
]
]
] | [
[
"image"
]
] | econ |
In Theorem 6, which specific theorem and proposition from Holliday and Pacuit (2023c) are cited? | Theorem 3.8 and Proposition 3.10 | 2411.19857 | [
16
] | [
[
[
284,
736,
2190,
901
]
]
] | [
[
[
114.469972,
209.806157,
882.708585,
256.841505
]
]
] | [
[
"image"
]
] | econ |
Which lemma number states that Leximin is the only neutral and pairwise refinement of maximin that satisfies positive responsiveness? | Lemma 2. | 2411.19857 | [
16
] | [
[
[
287,
2147,
2190,
2247
]
]
] | [
[
[
115.679162,
612.029647,
882.708585,
640.535918
]
]
] | [
[
"image"
]
] | econ |
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