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|---|---|---|---|---|
1410657133485.50/warc/CC-MAIN-20140914011213-00127-ip-10-196-40-205.us-west-1.compute.internal.warc.jsonl.gz/546
|
A range hood's curved sides must be modeled as arcs of a circle when viewed in 3D, but when laid flat, their equations depend on the angle between adjacent panels. Given a hood with height H = 12 units, horizontal depth D = 9.37 units, and a 45-degree angle between panels, the equation for the flat curve is y = r[1 + sin(4.7124 + x/r)], where r = (H² + D²)/(2D). If the angle between panels changes to θ (e.g., 30.2564° and 59.7435° for asymmetric dimensions), how does the equation adapt? Derive the general form of the equation for any angle θ.
|
y = r\left[1 + \sin\left(\frac{3\pi}{2} + \frac{x}{r}\right)\right], where r = \frac{H^2 + D^2}{2D}
| 2
|
mathematics
|
<urn:uuid:97d9976f-508a-4047-b038-37b5a2375132>
|
In Maya character animation preparation, if the skeleton definition shows a red symbol, what action is required before proceeding to rigging?
|
adjust bone positions
| 0
|
3D Animation
|
<urn:uuid:e76755ba-9506-45d6-9c62-74d37a5265da>
|
Despite the NR 54 V2's blade-mounted engines reducing weight and eliminating the need for a transmission, it failed to meet the German Air Ministry's endurance and operational radius requirements. What was the primary technical limitation caused by the engine placement that prevented successful flight?
|
Centrifugal forces disrupted carburetor function, causing engine unreliability
| 0
|
Engineering
|
1443736679281.15/warc/CC-MAIN-20151001215759-00236-ip-10-137-6-227.ec2.internal.warc.jsonl.gz/550
|
Does the operator A defined in the example satisfy the Hille-Yosida condition, and does this lead to the existence of integral solutions for the fractional differential inclusions as claimed in the paper?
|
Yes
| 6
|
mathematics
|
<urn:uuid:5a7ee474-5a69-48d8-958d-9f643ace7687>
|
In a scenario where a microwave oven heats a potato, causing an increase in temperature and internal entropy creation without entropy transfer across the boundary, which definitions of heat are applicable? Consider the distinctions between (1) temperature increase, (2) TdS vector as a functional of the path, and (5) transfer across a boundary due to temperature difference.
|
C
| 4
|
physics
|
1397609535535.6/warc/CC-MAIN-20140416005215-00114-ip-10-147-4-33.ec2.internal.warc.jsonl.gz/230
|
In the context of solar flare particle acceleration via dispersive Alfvén waves (DAWs), how does the fraction of accelerated electrons change when comparing right elliptical polarization in the kinetic regime with an ion-to-electron mass ratio of 1836 to the inertial regime with a mass ratio of 16, considering Landau damping and density gradient effects?
|
>35%
| 2
|
physics
|
1438042988048.90/warc/CC-MAIN-20150728002308-00270-ip-10-236-191-2.ec2.internal.warc.jsonl.gz/194
|
In the pseudopotential hole-particle formalism for modeling rare gas excimers, how is the conduction band energy minimum of argon, determined via field ionization, utilized in the model's parameters?
|
The conduction band energy minimum is used in the model to account for core-Rydberg correlation effects.
| 0
|
chemistry
|
1440644065330.34/warc/CC-MAIN-20150827025425-00347-ip-10-171-96-226.ec2.internal.warc.jsonl.gz/125
|
In the mathematical expression 48/2(9+3), why do different interpretations of order of operations lead to conflicting results of 2 and 288, and which interpretation aligns with standard conventions for implied multiplication versus explicit operators?
|
ambiguous
| 0
|
mathematics
|
1454701152130.53/warc/CC-MAIN-20160205193912-00087-ip-10-236-182-209.ec2.internal.warc.jsonl.gz/52
|
In the context of support vector machines using Gaussian kernels, how does the decay rate of eigenvalues of the integral operator induced by the kernel function interact with Tsybakov’s noise assumption to determine optimal learning rates?
|
true
| 2
|
machine_learning
|
<urn:uuid:bdc1ab66-c50d-4846-8d25-2b8b9085afef>
|
Which partial least squares (PLS) calibration model for amylose content prediction achieves higher accuracy: one using wavelengths 570–1000 nm (Model D) or 850–1048 nm (Model C)? Justify by analyzing the absorption bands, regression coefficient smoothness, and statistical performance metrics (SEP and R²) described in the studies.
|
D
| 0
|
Food Chemistry
|
1440644065306.42/warc/CC-MAIN-20150827025425-00069-ip-10-171-96-226.ec2.internal.warc.jsonl.gz/427
|
Calculate the gas pressure in a 100 mL flask at 77°C after 0.5000 g of barium carbonate reacts with 25.0 mL of 0.15 M nitric acid. Assume the reaction goes to completion and the gas behaves ideally.
|
0.538
| 5
|
Chemistry
|
1435375097546.28/warc/CC-MAIN-20150627031817-00163-ip-10-179-60-89.ec2.internal.warc.jsonl.gz/261
|
A 50 ohm transmission line with 1dB loss is added to a system previously using a pi network to match a 120 + j37 ohm load at 150MHz. Is the resulting VSWR still within the 1.5:1 limit after tuning the pi network components?
|
No
| 1
|
Electrical Engineering
|
1406510261958.8/warc/CC-MAIN-20140728011741-00023-ip-10-146-231-18.ec2.internal.warc.jsonl.gz/152
|
A structural equation model with latent variables employs a Gauss-Newton algorithm for parameter estimation. Which estimation method is explicitly linked to this algorithm in the context of the model's covariance structure: maximum likelihood, generalized least squares, or least squares?
|
D
| 0
|
Psychometrics
|
<urn:uuid:dd36a229-886a-448d-b24e-97f6649b5ce4>
|
Which group of Jews, historically linked to the Khazar kingdom's 8th-century conversion to Judaism and genetically distinct from Semitic populations, is biblically associated with Japheth's son Ashkenaz, thereby confirming their non-Semitic origin?
|
Ashkenazim
| 5
|
History
|
1427131298871.15/warc/CC-MAIN-20150323172138-00285-ip-10-168-14-71.ec2.internal.warc.jsonl.gz/410
|
In a decision feedback equalizer (DFE) using a modified Widrow-Hoff least-mean-squared (LMS) algorithm, the coefficient update equation includes a diagonal matrix W with first diagonal element 1 and remaining elements 2. Given the update rule A'(n) = A'(n-1) + KWS'(n-1)e(n-1), what is the ratio of the scaling factor applied to the first coefficient a'_0(n) compared to the other coefficients a'_j(n) for j ≥ 1?
|
1/2
| 7
|
Signal Processing
|
<urn:uuid:b89ec3cf-8225-404b-9006-7e0201123382>
|
What is the average annual precipitation in inches for climate stations located above 1000 feet elevation in the Ithaca dataset processed using FedData, given that the elevation data was originally in meters and converted using a factor of 0.3048?
|
28.26
| 0
|
Environmental Science
|
1438042987775.70/warc/CC-MAIN-20150728002307-00322-ip-10-236-191-2.ec2.internal.warc.jsonl.gz/391
|
A non-destructive method characterizes a surface-illuminated optical coupler by measuring reflection coefficients on two regions. The first region, distant from the waveguide, yields parameters r₀, k′_{z,p}, k″_{z,p}, and k′_{z,z1}. The second region, near the waveguide, introduces additional parameters a, b, and c. How is the coupling efficiency η_g derived from these parameters and the transmission coefficient T₂ on the second region?
|
η_g = 1 - T₂ - R₂
| 0
|
physics
|
<urn:uuid:c85c58a6-2250-42ad-9e74-2b1301780d8c>
|
Considering the geological prediction of an inevitable undersea quake off Sumatra that may generate a new tsunami toward Australia and the environmental damage to coral reefs and mangroves that act as natural barriers, which factor would have a greater impact on future disaster reduction strategies in the Indian Ocean region?
|
Geological prediction of the undersea quake
| 1
|
Earth Science and Disaster Management
|
1406510266894.52/warc/CC-MAIN-20140728011746-00466-ip-10-146-231-18.ec2.internal.warc.jsonl.gz/132
|
Given that the right leg of a TowerBlock is shortened to a length of 1.2 meters, with LEG_MIN = 1.0 meters and LEG_MAX = 1.5 meters, what is the current DOF value assuming the left leg is fully extended?
|
0.4
| 3
|
robotics
|
1435375097199.58/warc/CC-MAIN-20150627031817-00295-ip-10-179-60-89.ec2.internal.warc.jsonl.gz/461
|
A computer graphics rendering algorithm uses anisotropic filtering to compute a pixel's texture value. Given a pixel's anisotropic footprint with major axis along u and minor axis along v, compute the normalized weight for the lower endpoint after positioning it on the grid, given the center coordinates (u_center, v_center), the length of the anisotropy line r, and the slope dv. Assume the major axis step size is 1 and minor axis step size equals dv.
|
(1 - (u_center - r - floor(u_center - r))) / (1 + (ceiling(u_center + r) - floor(u_center - r)))
| 0
|
computer graphics
|
<urn:uuid:c2df7e1a-370b-468b-9a67-ef221917c507>
|
Given an endpoint dilution assay where 10 mice were inoculated with 10-fold serial dilutions of a virus (log10 dilutions from -1 to -7) and recorded deaths of 10, 10, 10, 10, 10, 6, 1 respectively, calculate the log10 LD50 using the Reed and Muench formula method. The method requires determining the mortality at dilutions next above and below 50% and applying the difference of logarithms formula.
|
-6.24
| 1
|
biology
|
1443737994631.83/warc/CC-MAIN-20151001221954-00197-ip-10-137-6-227.ec2.internal.warc.jsonl.gz/527
|
Suppose a generator g(y, z) satisfies the following properties: (1) it is independent of y; (2) for any real number a ≥ 0 and z, g(az) = a g(z) (positive homogeneity); and (3) for any a ≥ 1 and z, g(az) ≥ a g(z) (superhomogeneity). Does Jensen's inequality hold for all convex functions under the corresponding g-expectation?
|
Yes
| 4
|
mathematics
|
1427131297628.55/warc/CC-MAIN-20150323172137-00084-ip-10-168-14-71.ec2.internal.warc.jsonl.gz/557
|
Which molecule, CF4 or CCl4, is more efficiently studied using the Schwinger multichannel method with pseudopotentials due to its atomic composition, and which is recognized as a greenhouse gas contributing to environmental impact?
|
CCl4 is more efficiently studied; CF4 is a greenhouse gas.
| 6
|
Physics
|
1422115865010.11/warc/CC-MAIN-20150124161105-00137-ip-10-180-212-252.ec2.internal.warc.jsonl.gz/269
|
A tank's base is the region enclosed by the parabola y = 1 - x² and the x-axis. Cross-sections perpendicular to the y-axis are squares. Calculate the work required to pump all the water out of the tank to a height 2 meters above the tank's top. Assume water density is 1000 kg/m³ and gravitational acceleration is 9.8 m/s².
|
52266.67
| 7
|
Mathematics
|
<urn:uuid:b6e7008c-01a3-478b-8cac-b7df7012bb61>
|
Why does Shigella flexneri elicit a strong neutrophil response in zebrafish larvae, while Mycobacterium marinum avoids detection by neutrophils despite causing granulomatous lesions, based on their distinct interactions with host immune mechanisms?
|
Shigella flexneri induces IL-8-mediated neutrophil recruitment through inflammatory virulence factors, while Mycobacterium marinum evades detection by masking PAMPs and establishing a macrophage niche, delaying neutrophil attraction until granuloma formation.
| 1
|
biology
|
<urn:uuid:5cbd7a7b-77ae-4cdc-b8a6-78633ec8f7af>
|
A dipole with charges +q and -q separated by distance d is placed along the x-axis, and a uniformly charged nonconducting wire of length L and linear charge density λ is placed perpendicular to the x-axis at the origin. Calculate the total electric potential at a point P located at distance r from the dipole (where r >> d) and at a perpendicular distance a from the wire. Assume all charges are stationary and the dipole moment p = qd points along the x-axis.
|
V_{total} = \frac{1}{4\pi\varepsilon_0} \left( \frac{p}{r^2} + \lambda \ln\left(\frac{L + \sqrt{L^2 + 4a^2}}{2a}\right) \right)
| 1
|
physics
|
<urn:uuid:c5423cf1-bc2f-4594-b883-b8e30fd353bc>
|
If a person avoids consuming a 150-calorie soda and instead drinks water before meals as per Bob Harper's recommendation, would the net caloric deficit from avoiding the soda be greater than the maximum caloric expenditure increase observed in the water study? Assume the water-induced caloric increase is 0.2 calories per minute for 30 minutes.
|
TRUE
| 7
|
Nutrition Science
|
1429246644083.49/warc/CC-MAIN-20150417045724-00292-ip-10-235-10-82.ec2.internal.warc.jsonl.gz/67
|
Solve the equation involving both a square root and a cube root: √(x) + ^3√(x) = 6. Verify all solutions to exclude extraneous roots.
|
No solution exists
| 1
|
mathematics
|
1438042988317.67/warc/CC-MAIN-20150728002308-00271-ip-10-236-191-2.ec2.internal.warc.jsonl.gz/422
|
What is the Laplace transform of the joint probability distribution of a two-dimensional Brownian motion and its coordinate running maximum, given that the solution requires solving an extended Helmholtz equation with negative drifts and reflecting boundaries in the positive orthant?
|
\boxed{\frac{\lambda_1 \lambda_2}{(\lambda_1 + \alpha)(\lambda_2 + \beta) - \rho \lambda_1 \lambda_2}}
| 0
|
mathematics
|
1406510264270.11/warc/CC-MAIN-20140728011744-00073-ip-10-146-231-18.ec2.internal.warc.jsonl.gz/613
|
A student has completed MATH 1426, 2425, 2326, 3300, 3314, 3330, 4321, and six additional 3000/4000-level math courses (excluding teacher-specific capstone courses). They also have six hours from science/computer science courses listed in degree plans and twelve core curriculum hours in non-science/math disciplines. Their GPA in the nine math courses above MATH 1426 is 2.25. Are they eligible to add a math minor and change their major to mathematics?
|
TRUE
| 4
|
mathematics
|
<urn:uuid:2bced1c5-d873-4507-9d2c-b26cc1d8940d>
|
A non-diabetic individual experiences hypoglycemic symptoms exclusively after meals. Considering potential causes like insulinomas and diagnostic protocols, what is the most appropriate next step to confirm the diagnosis?
|
Supervised 48-hour fast
| 0
|
medicine
|
1418802769392.53/warc/CC-MAIN-20141217075249-00127-ip-10-231-17-201.ec2.internal.warc.jsonl.gz/132
|
How can a 2D table of numerical data be transformed into a list of {x, y, z} coordinates suitable for surface fitting with a 3rd-degree polynomial in Mathematica, using row and column indices as spatial coordinates?
|
Partition[Flatten[MapThread[List, {Flatten[Table[Table[{i, j}, {j, nCol}], {i, nRow}], 1], Flatten[data]}], 2], 3]
| 5
|
Mathematics/Computational Modeling
|
<urn:uuid:a625170c-5b66-48d0-a52c-cc3c401b1213>
|
How many women who chaired congressional committees between 1935 and 1954 had direct or indirect connections to Eleanor Roosevelt, based on their roles or public statements?
|
2
| 0
|
history
|
1443737994631.83/warc/CC-MAIN-20151001221954-00069-ip-10-137-6-227.ec2.internal.warc.jsonl.gz/579
|
Which of Federico Piazza's theoretical proposals addresses both the current accelerated expansion of the universe and the cosmological constant problem through an infrared modification of general relativity?
|
Modifying Gravity in the Infra-Red by imposing an 'Ultra-Strong' Equivalence Principle
| 0
|
physics
|
1440644060413.1/warc/CC-MAIN-20150827025420-00203-ip-10-171-96-226.ec2.internal.warc.jsonl.gz/112
|
A designer is optimizing a mechatronic system with a flexible rubber transmission component, requiring both multidimensional optimization and accurate stress analysis. Which algorithm is used for the optimization process in conjunction with the necessary type of finite element analysis (FEA) for such a material?
|
Nelder-Mead
| 0
|
Mechanical Engineering
|
<urn:uuid:2eb036df-fc13-4ad6-bce5-2a06d38d35c3>
|
Given the low quantum yield of amino acid formation (1.0 x 10^-4) in interstellar ice simulations, the racemic nature of the resulting amino acids, and the presence of intractable tar, does the production of 16 amino acids with only 6 being protein constituents provide sufficient evidence for chemical evolution under naturalistic conditions?
|
NO
| 5
|
Chemistry
|
1438042986357.49/warc/CC-MAIN-20150728002306-00265-ip-10-236-191-2.ec2.internal.warc.jsonl.gz/379
|
Which statistical method's confidence region derivation relies on matrix derivative techniques and is associated with skew elliptical distributions, as discussed in a talk that also introduced an estimation method based on star product of matrices?
|
Tõnu Kollo
| 0
|
Statistics
|
1422121899763.95/warc/CC-MAIN-20150124175139-00104-ip-10-180-212-252.ec2.internal.warc.jsonl.gz/558
|
In a hybrid DFE configuration for a TR-STBC system using CE-LMS algorithm, how does the error combination mechanism reduce gradient noise and improve convergence speed compared to a conventional LMS algorithm?
|
CE-LMS reduces gradient noise and improves convergence speed by combining errors from statistically identical streams
| 4
|
telecommunications
|
<urn:uuid:5da1a0a7-5643-4137-916c-317656a795d9>
|
Which weed control method is most suitable for managing an invasive annual weed species in a cultivated crop field, considering both historical efficacy and ecological limitations of biological agents?
|
chemical herbicides
| 1
|
agricultural science
|
<urn:uuid:ff3db80d-d3b7-471f-bb02-34f7c6ed345a>
|
Which U.S. grand strategy, as proposed by Posen and Ross, most directly addresses the historical lessons of the Roman Empire's shift from perimeter defense to centralized military forces under Constantine, particularly in terms of resource allocation and long-term sustainability?
|
B
| 0
|
International Relations
|
<urn:uuid:b6c80803-4c6d-4bf1-87c6-cd55aac71a7f>
|
Calculate the total monthly operational and maintenance cost for a textile mill using two gas boilers (7,500 kg/hr and 5,000 kg/hr capacities) with specified gas/electricity consumption rates, chemical wash, and tube replacement costs.
|
1558562
| 0
|
Industrial Engineering
|
<urn:uuid:ee8ccafd-bf56-4297-9f75-4ade2c8d1f45>
|
What is the most significant factor that differentiates the author's 21st-century interpretation of Mary's identity from traditional Catholic iconography, considering her historical context and theological role in Luke's Gospel?
|
Jewish heritage and politically radical faith
| 0
|
Theology
|
<urn:uuid:57847bc2-757d-4800-be91-fee611fb9e34>
|
If U.S. beef production accounts for 1.9% of total GHG emissions and Americans waste 40% of food, which action would likely reduce more GHG emissions: eliminating beef consumption entirely or reducing food waste by half (assuming food waste in landfills generates methane with 25 times the warming potential of CO₂)?
|
B
| 7
|
Environmental Science
|
<urn:uuid:7ecc3cfa-fcda-4aa9-9558-b8a3c1ad68b6>
|
A longitudinal study found that replacing one daily serving of red meat with nuts reduces mortality risk by 19% (HR 0.81), while 9.3% of deaths in men could be prevented if all consumed <0.5 servings of red meat. Assuming the population’s red meat consumption is normally distributed with a mean of 1.5 servings/day, what is the relationship between the individual substitution effect and the population attributable risk (PAR) for mortality prevention?
|
different metrics measuring distinct aspects of risk reduction
| 4
|
epidemiology
|
1440645167592.45/warc/CC-MAIN-20150827031247-00132-ip-10-171-96-226.ec2.internal.warc.jsonl.gz/182
|
What is the base of the logarithm used in the theoretical maximum height calculation for AVL trees in the provided test function?
|
(1 + sqrt(5))/2
| 6
|
Computer Science
|
1424936462751.85/warc/CC-MAIN-20150226074102-00046-ip-10-28-5-156.ec2.internal.warc.jsonl.gz/431
|
When executing the second Diffie-Hellman key exchange using two sequential server-aided computation protocols with individual exhaustive search resistances of 10^20 combinations each, what is the combined resistance against exhaustive search attacks?
|
10^40
| 7
|
Cryptography
|
<urn:uuid:618a55a6-0d26-4398-8bcd-cbd4a8a19081>
|
In the context of Christian teaching, how do the consequences of intentional false teaching differ from those of unintentional error, and which biblical example from the text illustrates the condemnation resulting from deliberate deception?
|
1 Kings 13
| 0
|
religion
|
<urn:uuid:9bfef116-ef35-48b7-8633-88d72c4a6cc9>
|
A beetle has a metallic green pronotum with a central recess at the base, red-brown forewings, and five white bristle-like tufts on each side of its abdomen. Its hind tibiae lack spines, and its clypeus is neither lobed nor pig-nosed. What is this beetle's species?
|
Popillia japonica
| 0
|
biology
|
1440645335509.77/warc/CC-MAIN-20150827031535-00137-ip-10-171-96-226.ec2.internal.warc.jsonl.gz/305
|
A retiree relies on income from early Social Security, interest from inherited IRAs, and 5-year CDs with Ally Bank. Their rent increases by $500 annually, and they must withdraw from CDs as interest income declines. How can they calculate the number of years until their savings are depleted, factoring in inflation, rent increases, and decreasing interest income?
|
Use a spreadsheet or online calculator
| 4
|
Personal Finance
|
1448398446300.49/warc/CC-MAIN-20151124205406-00166-ip-10-71-132-137.ec2.internal.warc.jsonl.gz/107
|
When using carbon dioxide (CO2) as the carrier gas in the Vaisala Humidity Calculator, what is the value of the constant B used in the mixing ratio calculation?
|
409.3
| 2
|
Chemistry
|
<urn:uuid:26193267-6d56-4732-870f-e53bcee7ee17>
|
What combination of ecological and procedural factors ensures that biocontrol agents introduced in Namibia to combat invasive cacti do not become invasive themselves, despite the precedent of introducing non-native species?
|
absence of indigenous cacti, host-specific testing in South Africa, and Namibian EIA process
| 0
|
biology
|
<urn:uuid:4e4b7a34-7ef6-45a2-bcfe-35b588e0ad6c>
|
Which event between the Boston Massacre of 1770 and the Boston Tea Party of 1773 is described as having more effectively united the American colonies, based on a contemporary statement by John Hancock?
|
Boston Tea Party
| 7
|
History
|
1440645208021.65/warc/CC-MAIN-20150827031328-00318-ip-10-171-96-226.ec2.internal.warc.jsonl.gz/324
|
A program attempts to determine the mathematical function corresponding to a given sequence of four Taylor series coefficients. For the input (1, 6, 18, 36), the exponential function check succeeds but the cosine check fails. Why does the cosine transformation fail when the same input terms satisfy the exponential function's reverse-engineering logic?
|
cos
| 6
|
mathematics
|
<urn:uuid:f8efbd7d-8fae-4088-83f7-f874e189eef5>
|
What is the percentage of individuals who showed significant improvement after ERP treatment when both in vivo and imaginal exposure techniques were utilized?
|
86
| 0
|
psychology
|
1398223205375.6/warc/CC-MAIN-20140423032005-00635-ip-10-147-4-33.ec2.internal.warc.jsonl.gz/620
|
When using the 'By pressure-flow characteristic' parameterization method for a 3-way directional valve, is the leakage area implicitly included in the provided tabulated data? Consider the differences in how leakage is handled between parameterization methods and the role of the leakage area parameter in numerical simulations.
|
Yes
| 2
|
Hydraulics and Control Systems
|
<urn:uuid:62ee9508-c520-49ec-a134-e51494e838ef>
|
Which brain region activated during digital folder navigation is also involved in spatial navigation in both animals and humans, thereby supporting the hypothesis that navigation's lower linguistic processing requirement contributes to user preference over search despite search's flexibility?
|
parahippocampal gyrus
| 0
|
neuroscience
|
1429246634257.45/warc/CC-MAIN-20150417045714-00230-ip-10-235-10-82.ec2.internal.warc.jsonl.gz/345
|
What is the name of the DNF function example that demonstrates the tightness of the Fourier concentration bound of degree O(w log(1/ε)) for DNF formulas of width w, as discussed in the context of Håstad's Switching Lemma and its implications on low-degree Fourier concentration?
|
Tribes
| 3
|
Theoretical Computer Science
|
1406510275111.45/warc/CC-MAIN-20140728011755-00299-ip-10-146-231-18.ec2.internal.warc.jsonl.gz/497
|
What is the overall order of accuracy of the nine-point cubic spline method for Poisson's equation in cylindrical coordinates when using the Gauss-Seidel iterative method with uniform grid spacing $ h $ in $ r $ and $ k $ in $ \theta $, given that the method is $ O(h^2 + k^4) $ and the mesh ratio is fixed?
|
O(h^4)
| 0
|
Mathematics
|
1429246643088.10/warc/CC-MAIN-20150417045723-00007-ip-10-235-10-82.ec2.internal.warc.jsonl.gz/169
|
In a train velocity optimization system using a genetic algorithm and a fuzzy logic controller, how does the sensitivity parameter α in the multi-objective fitness function interact with the fuzzy logic controller's scaling factors to balance fuel consumption reduction and throttle smoothness?
|
The scaling factors and α work synergistically to balance fuel consumption and throttle smoothness by adjusting control actions' sensitivity and prioritizing fuel reduction in the fitness function.
| 7
|
Transportation Systems Optimization
|
1435375099173.16/warc/CC-MAIN-20150627031819-00041-ip-10-179-60-89.ec2.internal.warc.jsonl.gz/494
|
Compute the derivative of the function f(x) = 5cos(2x - 3) * (x² + 1) using the product and chain rules.
|
-10(x² + 1)sin(2x - 3) + 10x cos(2x - 3)
| 7
|
mathematics
|
1418802768397.103/warc/CC-MAIN-20141217075248-00013-ip-10-231-17-201.ec2.internal.warc.jsonl.gz/579
|
In bounded arithmetic, if the theory S1² cannot prove the Weak Pigeonhole Principle (WPHP) for function classes, does this imply that Extended Frege (EF) proof systems cannot polynomially simulate all tautologies, thereby suggesting NP ≠ co-NP?
|
True
| 6
|
Theoretical Computer Science
|
<urn:uuid:4a4b2a25-0235-482c-b1b8-69d53377a699>
|
Which exemption category did Sahar receive after her prison term, considering she refused to use the mental health route for integrity and the incompatibility route was unavailable to Shministim refusers since 2005?
|
mental health
| 0
|
Social Studies
|
<urn:uuid:71721d42-0f8d-4d84-9fac-425634655c4b>
|
Which prominent American anti-slavery jurist who admitted the right of secession in 1833 also had his legal philosophy contrasted with Southern theological justifications for secession rooted in 2 Corinthians 6:14-18 during the 1860s sectional crisis?
|
Joseph Story
| 0
|
History
|
1406510271648.4/warc/CC-MAIN-20140728011751-00213-ip-10-146-231-18.ec2.internal.warc.jsonl.gz/136
|
When a blindfold cuber applies an algorithm that swaps two corners using the PnXsnX'sn'Pn' method to a cube with initially even corner permutation parity, does the resulting corner permutation require a U turn to adjust the parity to even?
|
yes
| 3
|
puzzle solving
|
1405997894782.90/warc/CC-MAIN-20140722025814-00218-ip-10-33-131-23.ec2.internal.warc.jsonl.gz/437
|
Two studies report effect sizes using odds ratios (OR). Study A reports an OR of 0.5 with an initial risk (P1) of 50%, while Study B reports an OR of 3 with an initial risk (P1) of 10%. Which study's odds ratio is a worse approximation of the true relative risk (RR)?
|
A
| 5
|
Epidemiology
|
<urn:uuid:af417586-3cff-4e35-bf05-78d640d7236b>
|
In the legal cases involving the prosecution of manga under the PROTECT Act, which individual's case involved the CBLDF providing expert testimony about the artistic merit of manga, despite the defendant ultimately pleading guilty before trial?
|
Ryan Matheson
| 0
|
Legal Studies
|
<urn:uuid:72a5039e-7b04-4d6d-8399-fb81a8c70c71>
|
Which specific brain wave abnormality is most reliably associated with depression and also commonly observed as a comorbid condition in individuals with learning disabilities, according to the described neurological analysis framework?
|
Excessive Alpha and Beta activity
| 0
|
Neuroscience
|
<urn:uuid:d76e2fd0-7c99-440f-a16d-acf9b23d2493>
|
In a study analyzing 67 8th-grade students' approaches to solving non-routine mathematical problems, which problem-solving strategy was both the most frequently used and associated with the highest error rate, despite being a core method taught in primary education curricula?
|
Setting up equations
| 0
|
Mathematics Education
|
1424936461216.38/warc/CC-MAIN-20150226074101-00291-ip-10-28-5-156.ec2.internal.warc.jsonl.gz/468
|
In a digital clock synthesis system with Q=5 phase shifts per clock cycle, how many bits are required in the divider circuit to ensure accurate temporal error calculation with rounding, given that the residual phase error P_K must be divided by ΔP to determine the closest phase-shifted clock signal?
|
6
| 2
|
Electrical Engineering
|
<urn:uuid:4b4bc422-cb92-43c8-a124-2fdea0599730>
|
Given the projected financial viability of e-cigarettes surpassing conventional tobacco sales and the potential to prevent one billion smoking-related deaths by 2030, what is the primary justification for the tobacco industry to commit to phasing out combusted tobacco products, according to the proposed framework?
|
achieve the greatest public health achievement in the history of mankind
| 0
|
public health
|
<urn:uuid:7cf4f5a7-0bda-44ce-9a9f-cc5b7e53966c>
|
A 65-year-old type 2 diabetic patient on Metformin presents with peripheral neuropathy and fatigue. Blood tests confirm low vitamin B12 levels. Given that Metformin inhibits B12 absorption, which treatment method would most effectively address their deficiency by bypassing intrinsic factor dependency while ensuring sufficient myelin synthesis and DNA/RNA production for nerve repair?
|
High-dose oral B12 supplements
| 0
|
Biology
|
<urn:uuid:59dbd14e-bc2b-42ab-8ec7-b43ac49c293f>
|
In a pregnant woman with disseminated gonococcal infection (DGI), which diagnostic method is most effective for identifying Neisseria gonorrhoeae in skin lesions when initial cultures and Gram stains are negative, given that the causative strains have a unique colony appearance on culture?
|
fluorescent antibody test
| 0
|
biology
|
1454701167599.48/warc/CC-MAIN-20160205193927-00127-ip-10-236-182-209.ec2.internal.warc.jsonl.gz/548
|
In two separate chemical reactions, the balanced equations are: 1) 48 KNO3 + 5 C12H22O11 → 24 K2CO3 + 36 CO2 + 55 H2O + 24 N2 and 2) 14 KMnO4 + 4 C3H5(OH)3 → 7 K2CO3 + 7 Mn2O3 + 5 CO2 + 16 H2O. What is the total number of moles of CO2 produced when 48 moles of KNO3 and 14 moles of KMnO4 are each fully consumed in their respective reactions?
|
41
| 7
|
chemistry
|
1427131299092.45/warc/CC-MAIN-20150323172139-00248-ip-10-168-14-71.ec2.internal.warc.jsonl.gz/48
|
If a hedge fund charges a 5% annual management fee and a 44% carry on profits, and an investor's net return is 35% annually, what is the fund's gross return before fees and carry? Assume the carry is calculated on the entire return (not just excess over a hurdle rate) and the management fee is deducted first.
|
65.79%
| 7
|
Finance
|
<urn:uuid:bb15585d-9dc0-431c-91c1-881e5f8a4210>
|
Which individual is credited with the innovation that made the modern Western-style free reed capable of producing pitch without a resonator, enabling compact instruments like harmonicas and accordions, despite historical ambiguity about whether they adapted an existing design or created it independently?
|
Franz Kirschnik
| 0
|
Music History
|
<urn:uuid:82e06d61-c032-4eb5-977e-2980e0f202e3>
|
Given that the 'one teach, one assist' model dominates co-teaching practices despite being less effective, and considering the identified success factors like administrative support and training, what is the primary reason this model persists according to the research synthesis?
|
Lack of administrative support and training
| 0
|
Education
|
<urn:uuid:2cf4e7fc-8e89-4379-8097-ca7f7d7cdcc8>
|
Which intraoral scanning technology does not require the application of a reflective coating and, according to a clinical study, produces crowns with a higher clinical acceptability rate than conventional impressions?
|
iTero
| 0
|
dentistry
|
<urn:uuid:e0b28406-6ff4-49e5-b893-8ec1b7737dd3>
|
A manufacturer uses high pressure processing (HPP) to reduce pathogens in a ready-to-eat meat product as a critical control point (CCP), applying a pressure of 80,000 psi for 3 minutes. Does this require additional validation beyond the standard parameters outlined for pathogen reduction?
|
YES
| 4
|
Food Safety and Regulatory Compliance
|
1427131297146.11/warc/CC-MAIN-20150323172137-00247-ip-10-168-14-71.ec2.internal.warc.jsonl.gz/165
|
In the context of RDFS interpretations, is the semantic condition 'x is in ICEXT(y) iff <x,y> is in IEXT(I(rdf:type))' redundant given the other conditions in the semantic table, and if so, what are the implications for the definitions of IC and ICEXT?
|
yes
| 2
|
semantic web
|
<urn:uuid:3674cf6d-bd59-4c49-b5f7-b335906bb3b3>
|
A dementia patient repeatedly asks to go home while in a care facility. Using strategies for managing repetitive speech and the role of touch in dementia care, what is the most effective response to redirect their behavior while ensuring their emotional needs are met?
|
Guide them to a window with a light touch and point out a squirrel or flowers
| 0
|
healthcare
|
1461860125750.3/warc/CC-MAIN-20160428161525-00093-ip-10-239-7-51.ec2.internal.warc.jsonl.gz/609
|
A MATLAB function 'hypotenuse' is modified to include a third input parameter 'd' with a default value of 2. Existing code calls 'hypotenuse(a, b)' without specifying 'd'. When executed, MATLAB throws an error. Explain why this happens, considering both function parameter handling and MATLAB's workspace isolation rules. Predict the exact error message and its line number in the function.
|
Input argument "d" is undefined. Error in ==> hypotenuse at 2 res = (a.^d + b.^d) ^ (1/d);
| 0
|
programming
|
<urn:uuid:3ca59094-f660-412e-9c7d-b63e63063530>
|
Given a Binary II file containing two main files and one phantom file, with data lengths 250, 130, and 50 bytes respectively, calculate the total size of the Binary II file in bytes, considering header sizes, padding rules, and phantom file structure.
|
1024
| 0
|
computer_science
|
<urn:uuid:07a325dd-792d-4e2d-a475-f79a56e908b7>
|
Given the diversification timeline of the SS14-Ω cluster of Treponema pallidum subsp. pallidum and the historical context of antibiotic use, what conclusion can be drawn about the evolutionary impact of antibiotic treatment on the global spread of azithromycin-resistant syphilis strains?
|
The SS14-Ω cluster's azithromycin resistance and global spread are driven by mid-20th-century antibiotic treatment
| 5
|
biology
|
1410657132025.91/warc/CC-MAIN-20140914011212-00268-ip-10-196-40-205.us-west-1.compute.internal.warc.jsonl.gz/432
|
Which author contributed to both the development of Shannon wavelet theory and the study of vanishing waves on closed intervals, as indicated by their co-authorship in relevant publications?
|
Carlo Cattani
| 0
|
Mathematics
|
<urn:uuid:8c8b48c9-6abc-43e8-b9a4-1fb7416b5953>
|
What strategies does Google AI employ to mitigate bias in natural language processing systems for sentient AI, considering the sources of bias in training data and algorithm design?
|
Google AI's ethical guidelines promote fairness and inclusivity in training data and algorithm design to mitigate bias in NLP systems for sentient AI.
| 4
|
Artificial Intelligence
|
1405997877693.48/warc/CC-MAIN-20140722025757-00202-ip-10-33-131-23.ec2.internal.warc.jsonl.gz/349
|
Given a 3×3 Gaussian kernel with σ=5.5, compute the normalized value at the center position (0,0) after applying the normalization step. The calculation must account for the initial Gaussian formula, the sum of all kernel elements, and the normalization factor.
|
0.1136
| 5
|
Image Processing
|
<urn:uuid:822098cb-96d5-4642-b21d-27ef1e1b5629>
|
A woman experiencing reproductive coercion reports that her partner monitors her prescription records and restricts her access to healthcare. Which contraceptive method is most appropriate to minimize the risk of tampering and detection, considering that financial barriers are removed through a specific program?
|
Long-Acting Reversible Contraception (LARC)
| 5
|
Public Health
|
1448398445142.9/warc/CC-MAIN-20151124205405-00090-ip-10-71-132-137.ec2.internal.warc.jsonl.gz/55
|
In a one-stage carcinogenesis model with diffusion, under what condition on the parameters e (death rate of mutant cells), r2 (interaction coefficient), and K1 (carrying capacity of normal cells) does a type II traveling wave solution exist?
|
0 < e < r_2 K_1
| 0
|
biology
|
<urn:uuid:2bd25581-fcc1-4b90-938e-5df44b5de048>
|
In Shakespeare's The Merchant of Venice, how do the contrasting portrayals of Jessica and Portia—specifically their relationships with their fathers and the narrative devices used to control their fates—reveal tensions between autonomy and societal expectations in Elizabethan drama?
|
Portia's father's casket test and Shylock's treatment of Jessica as property
| 0
|
literature
|
1443736678979.28/warc/CC-MAIN-20151001215758-00042-ip-10-137-6-227.ec2.internal.warc.jsonl.gz/308
|
In a best-of-seven baseball series where each game is independently won by either team with equal probability, what is the probability that the series ends in exactly 6 games?
|
0.3125
| 7
|
mathematics
|
1414637903638.13/warc/CC-MAIN-20141030025823-00125-ip-10-16-133-185.ec2.internal.warc.jsonl.gz/53
|
Using the rpncalc module's Chebyshev approximation capabilities and user-defined function installation, determine the maximum error when approximating the sine function over the interval [-π/2, π/2] with a 20-term series, after applying coefficient editing to eliminate negligible terms below 1e-16 precision.
|
8.960260661335075353e-17
| 0
|
mathematics
|
1440645359523.89/warc/CC-MAIN-20150827031559-00236-ip-10-171-96-226.ec2.internal.warc.jsonl.gz/595
|
A state with an equity factor of 0.15 allocates funds to a local educational agency (LEA) using the weighted child count method. The LEA's population aged 5–17 includes 1,000 children in the 0–691 bracket, 2,000 in the 692–2,262 bracket, and 3,000 in the 2,263–7,851 bracket. Calculate the weighted child count using the number-based method and determine whether it exceeds the percentage-based method’s total of 5,500.
|
YES
| 6
|
Education Policy and Funding
|
<urn:uuid:80489edb-777a-4e17-b029-bd1e61876421>
|
A psychologist who observed human behavior during extreme historical events developed a therapy method that involves counterintuitive actions to reduce anxiety. What specific psychological condition is treated by instructing patients to intentionally amplify the feared outcome, such as staying awake to combat sleeplessness?
|
insomnia
| 7
|
psychology
|
<urn:uuid:aa933639-76da-471c-9300-80bfe6ae128d>
|
What key factors does the Frontier Group/US PIRG study omit in its calculation of subsidies to car users, leading to an underestimation of the total subsidy?
|
Free parking, sprawl costs, and road replacement costs
| 0
|
Transportation Economics
|
<urn:uuid:44278441-0ce6-4c88-ab05-a6bca928544c>
|
Based on the Stark report's timeline of the USS Greer's engagement with U-652 and Arthur Krock's definition of 'attack' as an aggressive initiation of combat, did the Greer's actions after re-establishing contact with the submarine constitute an aggressive attack under Krock's criteria? Consider the sequence of events: tracking the sub for 3h28m, losing contact, re-establishing contact two hours later, and then attacking with depth charges.
|
Yes
| 7
|
History
|
<urn:uuid:0060948a-35a9-41b0-bedd-1d7498596a72>
|
Does the Expropriation Bill's treatment of mortgage bonds under section 9(d) conflict with the Constitutional Court's recognition in the Jordaan case that security rights may have separate value under section 25 of the Constitution?
|
true
| 5
|
Legal Analysis
|
<urn:uuid:04a893c0-82d1-4553-a620-a7e2ff90aa17>
|
If child care workers in the private sector earn 74% of the wages of other occupations after adjusting for factors like education and part-time work, and part-time work alone explains 8% of this wage gap, while education accounts for 28% of the gap when compared to elementary school teachers, what percentage of their original wage gap would remain if both part-time work and education disparities were eliminated? Assume the initial adjusted wage ratio is 80% for private sector child care workers relative to teachers.
|
32
| 2
|
Economics
|
<urn:uuid:6aae5507-f3f4-4534-835e-849a0ed0a4f6>
|
How do the disciples' narratives about Jesus and Neem Karoli Baba reconcile the guru's explicit instructions to avoid public discussion of their miracles with the eventual creation of sacred stories that emphasize the guru's bodily presence and fluidity across forms?
|
The secrecy was intentional to enable transcendence of physical form through disciples' reinterpretation
| 3
|
Religious Studies
|
1438042986357.49/warc/CC-MAIN-20150728002306-00258-ip-10-236-191-2.ec2.internal.warc.jsonl.gz/408
|
In a nonlinear stochastic system experiencing simultaneous additive and parametric faults, how do the authors address the interference caused by additive faults in parametric fault detection using the moving angle residual? Specifically, identify the two key modifications to the existing parametric fault detection scheme that enable robustness against additive faults.
|
low-pass filtering and dynamic reference signal adjustment
| 0
|
control systems engineering
|
<urn:uuid:f203a6ed-a557-48f7-8367-185cbc32bc69>
|
Which phthalate is approved for use in cosmetics by both the U.S. Cosmetic Ingredient Review (CIR) and the European Commission’s Scientific Committee on Consumer Safety (SCCS), while also being permitted in the European Union under general provisions despite being banned for other phthalate types classified as toxic to reproduction?
|
DEP
| 4
|
Chemistry
|
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