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Immobilized ligands and targets are limited in their ability to move freely through space in a way that replicates the native protein-ligand interaction, and conformational change from induced fit is often limited when proteins or drugs are immobilized.
Wikipedia - Chemoproteomics
38
So, the fastest speed of the rabbit is 45.
MetaMathQA
11
veloway - cycle track; cycleway; contrasts with freeway. vinyl - a type of plastic (usually PVC) used to make products such as fruit juice bottles, credit cards, pipes and hoses. virtual water - the volume of water required to produce a commodity or service. First coined by Professor J.A.
Wikipedia - Glossary of environmental science
49
Another recent usage of the term BSDF can be seen in some 3D packages, when vendors use it as a 'smart' category to encompass the simple well known cg algorithms like Phong, Blinn–Phong etc. Acquisition of the BSDF over the human face in 2000 by Debevec et al.
Wikipedia - Bidirectional scattering distribution function
48
In 2009, the PETRA facility was upgraded for exclusive use as a synchrotron radiation source for hard X-rays (PETRA III). Today, PETRA III serves over 40 experimental stations, and there are plans to expand it into the PETRA IV 3D X-ray microscope.
Wikipedia - DESY
42
= 24$. Dividing both sides by 2, we get $\sqrt{(5 + x)(20 - x)}
MetaMathQA
27
The introduction of the blast furnace to Europe in the Middle Ages meant that people could produce pig iron in much higher volumes than wrought iron. Because pig iron could be melted, people began to develop processes to reduce carbon in liquid pig iron to create steel.
Wikipedia - Alloy
47
Eventually, according to shockwave cosmology, the mass of our expanding volume of space and matter will fall in density as it expands. At some point, the event horizon of the black hole will cease to be. An outside observer will then see it appear as a white hole. The matter would then continue to expand.
Wikipedia - Shockwave cosmology
55
As of 3 July 2024, the Air Force requested reprogramming an additional $150 million for CCA development in 2024. This is a 40% increase over the $392 million budget previously requested; the FY2025 budget request will reflect an additional increment; the money for NGAD was adjusted appropriately.
Wikipedia - Manned-Unmanned Teaming
47
More than 300 research contributions are included in this survey, covering many aspects of generic object detection: detection frameworks, object feature representation, object proposal generation, context modeling, training strategies, and evaluation metrics. We finish the survey by identifying promising directions fo...
Semantic Scholar - Deep Learning for Generic Object Detection: A Surv... (2018, 2441 cit.)
43
If one pen costs $1.50, then the total cost of the pens is the number of pens multiplied by the cost per pen: (6x + 4) * $1.50.
MetaMathQA
40
Here we review 10 years of successful e-infrastructure solutions serving a large worldwide community of over 23,000 users to date, providing them with user-friendly, web-based solutions that run complex workflows in structural biology.
Semantic Scholar - Structural Biology in the Clouds: The WeNMR-EOSC E... (2021, 470 cit.)
33
FogROS2 automates the provisioning of cloud instances, deployment of ROS 2 nodes, and secure communication between robots and cloud services. The platform is designed to be compatible with existing ROS 2 applications without requiring code modifications.
Wikipedia - Cloud robotics
36
There are 12 crates that each contain 150 oranges, so the total number of oranges in the crates is 12 * 150 = 1800 oranges.
MetaMathQA
27
Image analysis can measure porosity, pore-size distribution and volume fractions of secondary phases by ASTM E1245. Porosity measurements do not require etching. Multi-phase microstructures do not require etching if the contrast between phases is adequate, as is usually the case.
Wikipedia - Ceramography
40
The concept of functional information is an attempt to rigorously define the information content of biological systems. The concept was originated by a group led by Jack W. Szostak in 2003.
Wikipedia - Functional information
31
The total time he spends exercising each day is 1 hour + x/5 hours = (5 + x)/5 hours.
MetaMathQA
25
Smooth surfaces of mica, gold, various polymers and solid gelatin solutions do not stay apart when their separating becomes small enough – on the order of 1–10 nm.
Wikipedia - Adhesion
28
An egg and sperm join to form a zygote with a complete set of genes. The resulting offspring has the same number of genes as their parents, but for any gene, one of their two copies comes from their father and one from their mother.
Wikipedia - Introduction to genetics
45
The Comparative Toxicogenomics Database (CTD) is a public website and research tool launched in November 2004 that curates scientific data describing relationships between chemicals/drugs, genes/proteins, diseases, taxa, phenotypes, GO annotations, pathways, and interaction modules. The database is maintained by the De...
Wikipedia - Comparative Toxicogenomics Database
49
The past decade has witnessed the rapid evolution in blockchain technologies, which has attracted tremendous interests from both the research communities and industries. The blockchain network was originated from the Internet financial sector as a decentralized, immutable ledger system for transactional data ordering.
Semantic Scholar - A Survey on Consensus Mechanisms and Mining Strate... (2018, 743 cit.)
43
With the new budget, they can spend $75 * 1.2 = $90 on softballs.
MetaMathQA
21
This is particularly the case when assessing the impact of participation in citizen science on the environmental attitudes, behaviour and knowledge of citizen scientists.
Semantic Scholar - How to measure the impact of citizen science on en... (2022, 35 cit.)
24
Outline of artificial intelligence Artificial intelligence – The implementation and study of systems that exhibit an autonomous intelligence or behavior of their own.
Wikipedia - Outline of computer science
23
The sum of the three integers is $a+b+c=12x+12y+12z+26=12(x+y+z+2)+2,$ so when divided by $12$, the remainder is $\boxed{2}$.
MetaMathQA
55
The most common explanation for biological constraint is that stabilizing selection acts on an organism to prevent it changing, for example, so that it can continue to function in a tightly-defined niche.
Wikipedia - Biological constraints
32
The modelling, analysis, and control of networked control systems have received considerable attention in the last two decades. The ‘ control over networks ’ is one of the key research directions for networked control systems.
Semantic Scholar - Networked control systems: a survey of trends and ... (2020, 672 cit.)
35
In terms of mean atmospheric circulation features, we notice a realistic simulation of upper tropospheric winds and midtroposphere geopotential eddies. The oceanic heat transport and the Atlantic meridional overturning circulation satisfactorily compare with present‐day observations and estimates from global ocean rean...
Semantic Scholar - Global Mean Climate and Main Patterns of Variabili... (2018, 316 cit.)
41
Some local providers in Tokyo imported 50 Hz German equipment, while the local power providers in Osaka brought in 60 Hz generators from the United States. The grids grew until eventually the entire country was wired.
Wikipedia - Electric power distribution
36
Altogether, Beth and Jan have $70 + $80 = $150.
MetaMathQA
16
of the AC current i, C {\displaystyle C} is the lossless capacitance.
Wikipedia - Dissipation factor
12
Clark points to animate vision as an example of embodiment, because it uses both biological and local environment cues to create an active intelligent process. Consider the Clark's example of going to the drugstore to buy some Kodak film. In one's mind, one is familiar with the Kodak logo and its trademark gold color.
Wikipedia - Embodied cognitive science
54
Turgidity is observed in plants, fungi, bacteria, and some protists with cell walls, but generally not in animal cells.
Wikipedia - Glossary of cellular and molecular biology (M–Z)
19
We also know that Caleb has 3 less than twice as many pencils as Candy, which means Caleb has 2 * Candy's number of pencils - 3 = 2x - 3 pencils.
MetaMathQA
39
Generally, if zj is the multiple of elementary charge on the j-th molecule, charge neutrality may be written as: ∑ j = 1 J z j ...
Wikipedia - Chemical equation
43
In this interpretation, it is immediately clear that the PL model satisfies Luce's choice axiom (from the same Luce).
Wikipedia - Bradley–Terry model
19
This research aims to illustrate top-down and bottom-up strategies for nanomaterial production, and numerous characterization methodologies, nanoparticle features, and sector-specific applications of nanotechnology.
Semantic Scholar - Classification, Synthetic, and Characterization Ap... (2022, 237 cit.)
23
Ben is one foot taller than Larry, so Ben is 6 + 1 = 7 feet tall.
MetaMathQA
19
We are given that Barry is supposed to pay $68, so we can write: 0.85x = 68.
MetaMathQA
24
The aim of this paper is to promote a discussion on whether knowledge of classical computer vision techniques should be maintained. The paper will also explore how the two sides of computer vision can be combined.
Semantic Scholar - Deep Learning vs. Traditional Computer Vision... (2019, 897 cit.)
36
Increasing urbanization, evolving urban landscapes, and growing populations require an accurate representation of urban areas and urban processes at microscale, regional, and global scales and their feedback across the scales. Important urban processes should be represented in climate models, and current approaches use...
Semantic Scholar - The Need for Urban‐Resolving Climate Modeling Acro... (2021, 29 cit.)
45
The sum of the temperatures is (-36) + 13 + (-15) + (-10) = -48.
MetaMathQA
23
If there is complex life, there could be some forests covering much of the land. If there is intelligent life, some parts of land could be covered in cities. Some factors that are assumed of such a planet may be unlikely due to Earth's own history.
Wikipedia - Earth analog
46
The goal in our exploratory curricular initiative is to dovetail the need to teach these two critical, emerging topics in highschool, and create a suite of novel activities, 'AI & Cybersecurity for Teens' (ACT) that introduces AI/ML in the context of cybersecurity and prepares high
Semantic Scholar - Cybersecurity Education in the Age of AI: Integrat... (2023, 19 cit.)
45
When contact is established, a corner of the upper beam will slide along the lower beam, resulting in severe shear within the third medium. Additionally, the free edge on the right boundary of the third medium is not bounded, leading to severe distortions in the third medium, which are handled by the third medium mater...
Wikipedia - Third medium contact method
60
Among females, breast cancer is the most commonly diagnosed cancer and the leading cause of cancer death, followed by colorectal and lung cancer (for incidence), and vice versa (for mortality); cervical cancer ranks fourth for both incidence and mortality.
Semantic Scholar - Global cancer statistics 2018: GLOBOCAN estimates ... (2018, 70613 cit.)
39
After the tube, jacket, and hoops have been machined to appropriate dimensions, the jacket is carefully heated to approximately 400 degrees Celsius (800 degrees Fahrenheit) in a vertical air furnace so thermal expansion allows the cool tube to be lowered into place. When the jacket is in position, it is cooled to form ...
Wikipedia - Built-up gun
60
The medieval Persian Muslim scholar Abū Rayhān al-Bīrūnī (973–1048), after observing rock formations at the mouths of rivers, hypothesized that the Indian Ocean once covered all of India. In his De Natura Fossilium of 1546, German metallurgist and mineralogist Georgius Agricola (1494–1555) wrote about erosion and natur...
Wikipedia - Geomorphology
48
\times 12$ and the result is 720.
MetaMathQA
10
Here, we provide a simple, actionable summary of this recent work.
Semantic Scholar - Five sources of bias in natural language processin... (2021, 249 cit.)
11
We then learn a reverse diffusion process that restores structure in data, yielding a highly flexible and tractable generative model of the data.
Semantic Scholar - Deep Unsupervised Learning using Nonequilibrium Th... (2015, 6816 cit.)
23
These methods are based on mapping symbolic sequences describing DNA, RNA and proteins, onto vector spaces, in which many of the analysis can be performed more efficiently.
Semantic Scholar - Editorial: Alignment-free methods in computational... (2014, 62 cit.)
27
By traveling through one or more cisternae, each of which contains a distinct set of enzymes, newly created proteins and polysaccharides undergo chemical modifications such as phosphorylation and glycosylation, which are used as packaging signals to direct their transport to specific destinations within the cell.
Wikipedia - Glossary of cellular and molecular biology (0–L)
45
The returning activated sludge is designed to recycle a portion of the activated sludge from the secondary clarifier back to the aeration tank. It usually includes a pump that draws the portion back.
Wikipedia - Activated sludge
33
However, it can save interest costs by letting a business add plant capacity as it is needed. Multiple-pressure reheat steam cycles are applied to combined-cycle systems with gas turbines with exhaust gas temperatures near 600 °C. Single- and multiple-pressure non-reheat steam cycles are applied to combined-cycle syste...
Wikipedia - Combined cycle power plant
60
If the constant term is the zero function, then the differential equation is said to be homogeneous, as it is a homogeneous polynomial in the unknown function and its derivatives.
Wikipedia - Linear differential equation
30
In 2020, OpenAI developed GPT-3, a language model capable of performing many diverse tasks without specific training. According to Gary Grossman in a VentureBeat article, while there is consensus that GPT-3 is not an example of AGI, it is considered by some to be too advanced to be classified as a narrow AI system.
Wikipedia - Artificial general intelligence
54
Artificial Intelligence (AI) is making a profound impact in almost every domain. A vital enabler of its great success is the availability of abundant and high-quality data for building machine learning models.
Semantic Scholar - Data-centric Artificial Intelligence: A Survey... (2023, 200 cit.)
32
Here, we overview and discuss progress in characterizing and understanding the dynamics of quantum entanglement and information scrambling in quantum many-body systems.
Semantic Scholar - Dynamics of quantum information... (2019, 97 cit.)
22
For this reason, he stated, "linux is more portable than minix." Following Linus' reply, Tanenbaum argued that the limitations of MINIX relate to him being a professor, stating the requirement for the system to be able to run on the rather limited hardware of the average student, which he noted was an Intel 8088-based ...
Wikipedia - Tanenbaum–Torvalds debate
60
According to the given information, Heath will be 3 times as old as Jude in 5 years.
MetaMathQA
19
Other familiar deformations in physics involve: The deformation of classical Newtonian into relativistic mechanics (special relativity), with deformation parameter v/c; the classical limit involves small speeds, so v/c → 0, and the systems appear to obey Newtonian mechanics.
Wikipedia - Classical limit
38
Expanding the targeting space of Cas9 CRISPR-Cas9 associates with a guide RNA to target and cleave a specific DNA site next to a protospacer adjacent motif (PAM).
Semantic Scholar - Engineered CRISPR-Cas9 nuclease with expanded targ... (2018, 832 cit.)
27
The term "artificial general intelligence" was used as early as 1997, by Mark Gubrud in a discussion of the implications of fully automated military production and operations. A mathematical formalism of AGI was proposed by Marcus Hutter in 2000. Named AIXI, the proposed AGI agent maximises "the ability to satisfy goal...
Wikipedia - Artificial general intelligence
57
Biosensors can be used to indirectly measure BOD via a fast (usually <30 min) to be determined BOD substitute and a corresponding calibration curve method (pioneered by Karube et al., 1977).
Wikipedia - Biochemical oxygen demand
31
Natalia has a total of 145 + 271 + 419 + 209 = 1044 items to store.
MetaMathQA
20
This gives us \[x - 5 < 0.\] Solving this inequality, we find $x < 5$.
MetaMathQA
27
If there was a smaller clearance, it would be nearly impossible to engage the gears because the dogs would interfere with each other in most configurations. In synchronized transmissions, synchromesh solves this problem. However, backlash is undesirable in precision positioning applications such as machine tool tables.
Wikipedia - Backlash (engineering)
46
Moreover, fostering interdisciplinary collaboration and investing in cybersecurity education and training are vital for cultivating a skilled workforce equipped to navigate the evolving threat landscape.
Semantic Scholar - CYBERSECURITY CHALLENGES IN THE AGE OF AI: THEORET... (2024, 53 cit.)
25
Coagulant aids (polymers that bridge the colloids together) are also often used to increase the efficiency of the process.
Wikipedia - Coagulation (water treatment)
19
Storage devices may contain more physical storage space than their advertised capacity, reserving the additional capacity to improve the device's performance or endurance characteristics. For example, solid-state drives allocate a reserve for wear leveling to mitigate write amplification.
Wikipedia - Overprovisioning
38
Pycnonuclear reactions can occur anywhere and in any matter, but under standard conditions, the speed of the reaction is exceedingly low, and thus, have no significant role outside of extremely dense systems, neutron-rich and free electron-rich environments, such as the inner crust of a neutron star.
Wikipedia - Pycnonuclear fusion
46
The area of the larger circle is $\pi (10^2) = 100\pi$. The area of the smaller circle is $\pi (X^2)
MetaMathQA
34
In this paper, we summarize the current state of the field of NLP&Law with a specific focus on recent technical and substantive developments.
Semantic Scholar - Natural Language Processing in the Legal Domain... (2023, 59 cit.)
23
Examples include positronium (bound state of an electron–positron pair), excitons (bound states of an electron–hole pairs), and mesons (as quark-antiquark bound states). Even for simple systems such as the positronium, the equation cannot be solved exactly under quantum electrodynamics (QED), despite its exact formulat...
Wikipedia - Bethe–Salpeter equation
56
A second problem is that the spin of the nitrogen-14 atom was 1, in contradiction to the Rutherford prediction of 1⁄2. These anomalies are later explained by the discoveries of the neutrino and the neutron.
Wikipedia - Timeline of quantum mechanics
35
Indeed, the demonstration of quantum supremacy marks a significant milestone in the Noisy Intermediate Scale Quantum (NISQ) era—the next logical step being the quantum advantage whereby quantum computers solve a real‐world problem much more efficiently than classical computing.
Semantic Scholar - Quantum computing: A taxonomy, systematic review a... (2020, 271 cit.)
38
A gallon is equal to 128 ounces.
MetaMathQA
8
= (X - 15)(X + 15)
MetaMathQA
10
RR Lyrae stars are similar to Cepheid variables but of lower metallicity (i.e. Population II) and much lower masses (about 0.6 to 0.8 solar). They are core helium-burning giants that oscillate in one or both of their fundamental mode and first overtone. The oscillation is also driven by the kappa mechanism acting throu...
Wikipedia - Asteroseismology
58
Imma will receive 1/2 of the roses, so she will receive 1/2 * 150 = 75 roses.
MetaMathQA
24
Setting this product equal to 1: (-x^5 + 1)(3x^5 + 1)
MetaMathQA
22
A series of recent discoveries harnessing the adaptive immune system of prokaryotes to perform targeted genome editing is having a transformative influence across the biological sciences.
Semantic Scholar - CRISPR Gene Therapy: Applications, Limitations, an... (2020, 314 cit.)
26
Since Sally and Carl owe equal amounts, they each owe $70 / 2 = $35.
MetaMathQA
19
So the discriminant is $(-7)^2 - 4(3)(-12)
MetaMathQA
19
Strategic natural gas reserve Green energy High-temperature electrolysis hydrogen economy Hydrogen fuel cell power plant Hydrogen fuel enhancement Hydrogen storage Underground hydrogen storage Blue hydrogen White hydrogen Intermountain Power Plant Smart grid Pumped-storage hydroelectricity Midcontinent Rift System Alla...
Wikipedia - Combined cycle power plant
60
We also know that there are x times as many football cards as hockey cards, which means there are x
MetaMathQA
21
Each dish requires 5 pounds of couscous.
MetaMathQA
10
News articles and reports are also part of this combined database. CAB Direct has now migrated to CABI's new platform CABI Digital Library - the new home of CABI's research content. In the U.K., in 1947, the Imperial Agricultural Bureaux became the Commonwealth Agricultural Bureaux or CAB. In 1986 the Commonwealth Agri...
Wikipedia - CAB Direct
58
If Griffin is 61 inches tall, then Grayson is 61 + 2 = 63 inches tall.
MetaMathQA
18
Notable examples of such clocks include the Ni-Tele Really Big Clock, designed by Hayao Miyazaki to be affixed on the Nippon Television headquarters in Tokyo, touted to be the largest animated clock in the world. In the United Kingdom, Kit Williams produced a series of large automaton clocks for a handful of British sh...
Wikipedia - Automaton clock
60
The semi-empirical mass formula (SEMF), also called Weizsäcker's formula or the Bethe-Weizsäcker mass formula, gives a theoretical explanation of the overall shape of the curve of nuclear binding energy.
Wikipedia - Abundance of the chemical elements
29
We are given that the total number of doors produced is 375, so we can write: 750 * (100 - x)/100 = 375.
MetaMathQA
29
The conclusion was that reliability was the most important single factor, identifying areas and activities that required investigation by the new organisation. A later career review confirmed that John Freebody was promoted to Staff Engineer and set the task of founding the Technical Support Unit. In 1965 responsibilit...
Wikipedia - Central Computer and Telecommunications Agency
60
If the square is downward-sloping, there are no possible positions for it on the sides of the triangle.
MetaMathQA
23
In materials science, asperity, defined as "unevenness of surface, roughness, ruggedness" (from the Latin asper—"rough"), has implications (for example) in physics and seismology. Smooth surfaces, even those polished to a mirror finish, are not truly smooth on a microscopic scale. They are rough, with sharp, rough, or ...
Wikipedia - Asperity (materials science)
51
First, we place the two shortest leopards at the ends of the row.
MetaMathQA
17
Let's calculate the slant height for each option: A. base radius = 6, slant = 10 slant height = 6 * cosecant(252/2)
MetaMathQA
40
In the Standard Model of physics, electrons are truly elementary particles with no internal structure, whereas protons and neutrons are composite particles composed of elementary particles called quarks. There are two types of quarks in atoms, each having a fractional electric charge.
Wikipedia - Atom
42
(n-r)!
MetaMathQA
5