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= \frac{5!}{3!2!}
MetaMathQA
12
To eat all 27 potatoes, it would take him 27 * 6.67 = 180.09 minutes.
MetaMathQA
21
Excretion is elimination of metabolic waste, which is an essential process in all organisms. In vertebrates, this is primarily carried out by the lungs, kidneys, and skin. This is in contrast with secretion, where the substance may have specific tasks after leaving the cell.
Wikipedia - Excretion
44
The researcher suggests that these findings supports a theoretical framework called embodied cognition, which suggests that the cognition of actions and words can be supported by the motor system.
Wikipedia - Biological motion
29
The result is continuous visibility, which, combined with the implementation of automation, can lead to ongoing improvements. AIOps connects three IT disciplines (automation, service management, and performance management) to achieve continuous visibility and improvement. This new approach in modern, accelerated, and h...
Wikipedia - AIOps
56
Foster Farms donated 45 dressed chickens.
MetaMathQA
8
The volume of this cube is $(2)^3 = 8$.
MetaMathQA
14
Julie Elisabeth Backer (31 August 1890 – 31 December 1977) was a Norwegian statistician who was bureau chief for Norway's Central Bureau of Statistics 1936–1956 specializing in the study of mortality.
Wikipedia - Julie E. Backer
31
Organic chemistry is a subdiscipline within chemistry involving the scientific study of the structure, properties, and reactions of organic compounds and organic materials, i.e., matter in its various forms that contain carbon atoms. Study of structure determines their structural formula. Study of properties includes p...
Wikipedia - Organic chemistry
57
Since a pair of underwear weighs 4 ounces, he can add 16 / 4 = 4 more pairs of underwear.
MetaMathQA
22
A rich number in base b is one whose expansion in base b is disjunctive: one that is disjunctive to every base is called absolutely disjunctive or is said to be a lexicon.
Wikipedia - Normal number
33
Since the remaining days have an equal number of cars passing through the toll booth, we can divide the remaining cars evenly among those days.
MetaMathQA
27
This study thus focusses on an additional set of organizational elements. The key elements of cybersecurity organizational readiness depicted here are cybersecurity awareness, cybersecurity culture and cybersecurity organizational resilience (OR).
Semantic Scholar - Organizational cybersecurity readiness in the ICT ... (2023, 16 cit.)
30
In this review, a comprehensive discussion exclusively on bacterial xylanases; their gene organization; different factors and conditions affecting enzyme yield and activity; and their commercial application have been deliberated in the light of recent research findings and extensive information mining.
Semantic Scholar - Bacterial xylanases: biology to biotechnology... (2016, 155 cit.)
40
This single-digit number is called the "digital root" of the original.
Wikipedia - Casting out nines
11
In the US there are currently twenty-five programs that exist in the entire country so careful college consideration is advised. A typical construction engineering curriculum is a mixture of engineering mechanics, engineering design, construction management and general science and mathematics. This usually leads to a B...
Wikipedia - Construction engineering
51
To solve this problem, we need to determine the value of x, which represents the number of hours of piano lessons that Micheal will take.
MetaMathQA
29
To solve this problem, we need to determine the value of x, which represents the number of blouses Brie has.
MetaMathQA
25
We achieved a high Voc of 1.21 volts without sacrificing photocurrent, corresponding to a voltage deficit of 0.41 volts at a bandgap of 1.62 electron volts. This improvement led to a stabilized power output approaching 21% at the maximum power point.
Semantic Scholar - Enhanced photovoltage for inverted planar heteroju... (2018, 1181 cit.)
41
If Bob runs at a speed of 6 miles per hour and Jim runs at a speed of 9 miles per hour, Jim runs 9 - 6 = 3 miles per hour faster than Bob.
MetaMathQA
37
Blockchain is being praised as a technological innovation which allows to revolutionize how society trades and interacts. This reputation is in particular attributable to its properties of allowing mutually mistrusting entities to exchange financial value and interact without relying on a trusted third party.
Semantic Scholar - Do you Need a Blockchain?... (2018, 932 cit.)
44
In distributed quantum computing architectures, with the network and communications functionalities provided by the Quantum Internet, remote quantum processing units can communicate and cooperate for executing computational tasks that single, noisy, intermediate-scale quantum devices cannot handle by themselves.
Semantic Scholar - Compiler Design for Distributed Quantum Computing... (2020, 93 cit.)
38
These materials have also been adopted for use by the sporting-goods suppliers who sell high-performance equipment to the golf, tennis, fishing, and archery markets; as well as in the swimming pool industry with composite wall structures.
Wikipedia - Advanced composite materials (engineering)
36
Keaton climbed a 30 feet ladder twenty times, so he climbed a total of 30 * 20 = 600 feet.
MetaMathQA
24
In an estuarine setting where a proposed industrial development could impact certain species by water and air pollution, biologists would describe the flora and fauna, chemists would analyze the transport of water pollutants to the marsh, physicists would calculate air pollution emissions and geologists would assist in...
Wikipedia - Environmental science
54
The deep reinforcement learning community has made several independent improvements to the DQN algorithm. However, it is unclear which of these extensions are complementary and can be fruitfully combined. This paper examines six extensions to the DQN algorithm and empirically studies their combination.
Semantic Scholar - Rainbow: Combining Improvements in Deep Reinforcem... (2017, 2256 cit.)
43
These forming processes modify metal or workpiece by deforming the object, that is, without removing any material. Forming is done with a system of mechanical forces and, especially for bulk metal forming, with heat.
Wikipedia - Metalworking
34
So, in total, she had 8 + 16 = 24 ounces of liquid before the test.
MetaMathQA
19
Dividing both sides by 22, we get: x = 3.
MetaMathQA
15
The term building engineering physics was introduced in a report released in January 2010 commissioned by The Royal Academy of Engineering (RAeng).
Wikipedia - Building engineering physics
22
The journal was established in 1953. The current editor-in-chief is Professor Ricardo Vardasca, from ISLA Santarém, Portugal.
Wikipedia - The Imaging Science Journal
17
structure of the substrate. The low cost and high reliability of chemical bath deposition even on the nanometer scale is unlike any other thin-film deposition technique. Chemical bath deposition can be used to produce polycrystalline and epitaxial films, porous networks, nanorods, superlattices, and composites.
Wikipedia - Chemical bath deposition
44
However, he further appreciated that such a systematic correspondence does, in fact, exist between the quantum commutator and a deformation of the Poisson bracket, today called the Moyal bracket, and, in general, quantum operators and classical observables and distributions in phase space.
Wikipedia - Canonical commutation relation
42
Despite initial explorations into the application of LLMs in cybersecurity, there is a lack of a comprehensive overview of this research area.
Semantic Scholar - When LLMs Meet Cybersecurity: A Systematic Literat... (2024, 39 cit.)
22
He is known for his two theorems. The basic concept is that a change in energy is equal to the causing force times the resulting displacement. Therefore, the causing force is equal to the change in energy divided by the resulting displacement. Alternatively, the resulting displacement is equal to the change in energy d...
Wikipedia - Glossary of engineering: A–L
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Since H is the midpoint of EF, we know that the area of triangle EFH is also 18 square units.
MetaMathQA
24
The couple has two children, so the total cost for the children's tickets is $104 x 2 = $208.
MetaMathQA
24
Molecular dynamics simulations capture the behavior of biological macromolecules in full atomic detail, but their computational demands, combined with the challenge of appropriately modeling the relevant physics, have historically restricted their length and accuracy.
Semantic Scholar - Biomolecular simulation: a computational microscop... (2012, 1020 cit.)
34
Solving for x, we get: x = 21.
MetaMathQA
12
There is no enhancement to the original faculties and processes that were lost. On the contrary, the enhanced cyborg "follows a principle, and it is the principle of optimal performance: maximising output (the information or modifications obtained) and minimising input (the energy expended in the process)".
Wikipedia - Cyborg
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However, there is an increasing divide between what is technically possible and what is allowed, because of privacy legislation4,5.
Semantic Scholar - Swarm Learning for decentralized and confidential ... (2021, 586 cit.)
19
Number of seats per table: 10 Percentage of seats usually unseated: 1/10 Number of seats usually taken: 135 We can set up the equation as follows: Number of tables * Number of seats per table * (1 - Percentage of seats unseated)
MetaMathQA
57
The models in this category produce predictions for experiments involving pharmacological stimulation.
Wikipedia - Biological neuron model
12
reuse - the second pillar of the waste hierarchy - recovering value from a discarded resource without reprocessing or remanufacture e.g.clothes sold though opportunity shops strictly represent a form of re-use, rather than recycling risk – the probability of a (negative) occurrence.
Wikipedia - Glossary of environmental science
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The next bit, at position 24, is called the round bit or rounding bit.
Wikipedia - Floating-point arithmetic
14
The authors adopt a framework synthesis approach involving first constructing an initial architecture of the landscape grounded in previous studies, which is subsequently iteratively tested, shaped, refined and reinforced into a model of SOI with data drawn from included studies: so advancing theoretical development in
Semantic Scholar - Sustainability‐Oriented Innovation: A Systematic R... (2016, 1124 cit.)
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This can be calculated as: 88 - x - 44 - 22 = 22 - x.
MetaMathQA
18
To find the perimeter of the rhombus, we need to determine the value of $X$. In a rhombus, the diagonals are perpendicular bisectors of each other, dividing the rhombus into four congruent right triangles.
MetaMathQA
53
Such understanding will aid more meaningful interrogation of critical issues such as AI ethics and bias. ACT introduces core ML topics contextualized in cybersecurity topics through a range of programming activities and pre-programmed games in NetsBlox, an easy-to-use block-based programming environment.
Semantic Scholar - Cybersecurity Education in the Age of AI: Integrat... (2023, 19 cit.)
41
The original MIRA demonstrator was catastrophically damaged in a runway accident in February 2024. On 29 October 2024, the company was the first ever to ignite an aerospike engine in a flight over the Baltic Sea, powering a four-engine, kerosene-fueled, turbojet MIRA-II demonstrator. The test involved a three-second bu...
Wikipedia - Aerospike engine
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etc.) that carries power, ground, or signal horizontally across a circuit TSV – see through-silicon via via – a vertical electrical connection between layers in a circuit wafer – a disk of semiconductor material (usually silicon) on which electronic circuitry can be fabricated wafer-level packaging (WLP) – packaging IC...
Wikipedia - Glossary of microelectronics manufacturing terms
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She also gave half a dozen (6 donuts) to her sister, so she had 36 - 6 = 30 donuts left for herself.
MetaMathQA
29
Next, we perform the multiplication and subtraction: $25 - 12 + 9 = 13 + 9$. Finally, we perform the addition: $13 + 9 = \boxed{22}$.
MetaMathQA
41
The total cost of all the items before the discount is $440 + $120 = $560.
MetaMathQA
20
To solve this problem, we need to determine the value of x, which represents the number of students who do not like either apple pie or chocolate cake.
MetaMathQA
31
The Wigner Research Centre was established in 2012 by the merger of the MTA KFKI Institute for Particle and Nuclear Physics and the MTA Institute for Solid State Physics and Optics, and takes the name of the Nobel Prize winning physicist Eugene Wigner.
Wikipedia - HUN-REN Wigner Research Centre for Physics
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If a framework is infinitesimally rigid, then it is rigid.
Wikipedia - Geometric rigidity
10
It consists of three phases: (1) dense, cold, and dusty Dark nebulas, (2) diffuse clouds, and (3) hot coronal gas. Dark nebula are Molecular clouds that contain molecular hydrogen and other molecules that have formed in gas phase and on dust grain surfaces.
Wikipedia - Dust astronomy
43
In total, over 5 days, the factory produces 1440 coolers/day * 5 days = 7200 coolers.
MetaMathQA
24
Multiplying both sides by 11, we get: 420 + x = 693.
MetaMathQA
18
AI and Reliability Trends in Safety-Critical Autonomous Systems on Ground and Air
Semantic Scholar - AI and Reliability Trends in Safety-Critical Auton... (2020, 31 cit.)
12
To convert a base-10 number to base-4, we repeatedly divide by 4 and record the remainders.
MetaMathQA
24
Most electrical machines are complex to analyze, however a simple Linear DC machine can be used to see how the operating principles relate. The electric circuit is made up of a battery V B {\displaystyle V_{B}} , a resistor...
Wikipedia - Electric machine
52
"Smashing Security: Keeping the lights on after a ransomware attack" - podcast including discussion on the use of AI in the Indian elections (17m37s - 29m11s). 25 April 2024.
Wikipedia - Artificial intelligence and elections
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Similarly, an unbalanced load may occur if one line is consistently closest to the ground and operates at a lower impedance. Because of this phenomenon, conductors must be periodically transposed along the line so that each phase sees equal time in each relative position to balance out the mutual inductance seen by all...
Wikipedia - Electric power transmission
55
with large returns to first-movers or relative advantage, then they will be pressured to choose a sub-optimal level of caution". A research stream focuses on developing approaches, frameworks, and methods to assess AI accountability, guiding and promoting audits of AI-based systems.
Wikipedia - AI safety
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The best performing method, an asynchronous variant of actor-critic, surpasses the current state-of-the-art on the Atari domain while training for half the time on a single multi-core CPU instead of a GPU.
Semantic Scholar - Asynchronous Methods for Deep Reinforcement Learni... (2016, 8818 cit.)
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Soldering is a joining process that occurs at temperatures below 450 °C (842 °F). It is similar to brazing in the way that a filler is melted and drawn into a capillary to form a joint, although at a lower temperature.
Wikipedia - Metalworking
41
With regard to the mining sector, corporate sustainability issues reflecting the viability, value, and sustainable development potential of companies have not yet been studied extensively.
Semantic Scholar - Analyzing the Concept of Corporate Sustainability ... (2022, 69 cit.)
25
On 4 November 2013, astronomers reported, based on Kepler space mission data, that there could be as many as 40 billion Earth-sized planets orbiting in the habitable zones of Sun-like stars and red dwarf stars within the Milky Way Galaxy. The nearest such planet could be expected to be within 12 light-years of the Eart...
Wikipedia - Earth analog
56
The Russian abacus was in use in shops and markets throughout the former Soviet Union, and its usage was taught in most schools until the 1990s. Even the 1874 invention of mechanical calculator, Odhner arithmometer, had not replaced them in Russia.
Wikipedia - Abacus
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The increasing availability of data from asset systems is allowing the principles of Total Cost of Ownership to be applied to facility management of an individual system, a building, or across a campus. Physical asset management is related to asset health management.
Wikipedia - Asset management
42
The total size of the property is the sum of the size of the house and the size of the barn: x + 1,000.
MetaMathQA
28
Other examples of oxy-combustion carbon capture are in progress. Callide Power Station has retrofitted a 30-MWth existing PC-fired power plant to operate in oxy-fuel mode; in Ciuden, Spain, Endesa has a newly built 30-MWth oxy-fuel plant using circulating fluidized bed combustion (CFBC) technology.
Wikipedia - Coal pollution mitigation
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Bismuth is used as catalyst in the production of plastics and cosmetics, as an additive in steel alloys, and in electronics. It has a rhombohedral (Biα) structure, with an atomic radius of 1.54 Å, electronegativity of 1.83, and valence of +3 and +5.
Wikipedia - Bismuth–indium
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The function $\arcsin x$ gives the angle whose sine is $x$. So, $\arcsin 0$ gives the angle whose sine is 0.
MetaMathQA
34
It is a vibrant multi-disciplinary field of increasing importance and with extraordinary potential. Instead of focusing on specific multimodal applications, this paper surveys the recent advances in multimodal machine learning itself and presents them in a common taxonomy.
Semantic Scholar - Multimodal Machine Learning: A Survey and Taxonomy... (2017, 2900 cit.)
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MINIX file system Xinu xv6 Comparison of operating system kernels List of computing mascots Category:Computing mascots
Wikipedia - Minix 3
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Our findings provide broadly useful SpCas9 variants and, more importantly, establish the feasibility of engineering a wide range of Cas9s with altered and improved PAM specificities.
Semantic Scholar - Engineered CRISPR-Cas9 nucleases with altered PAM ... (2015, 1333 cit.)
26
Marquis Who's Who. Who's who in American nursing. Marquis Who's Who, 1984-.
Wikipedia - Bibliography of encyclopedias: biology
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However, we cannot yet engineer biological systems as easily and precisely as we engineer physical systems. In this review, we describe the path from the choice of target molecule to scaling production up to commercial volumes.
Semantic Scholar - Synthetic and systems biology for microbial produc... (2016, 207 cit.)
36
We are given that each person will owe $25.00, so we can write: ($45.00 + $14.00x + $27.00) / 4 = $25.00.
MetaMathQA
42
The perimeter of the triangle is the sum of the lengths of all three sides: base + height + hypotenuse = x + 3 + hypotenuse.
MetaMathQA
32
Diaeretiella rapae preferred aphid-infested transgenic plants over aphid-infested wild-type plants for two of the accessions. In contrast, female E. balteatus predators did not differentiate between aphid-infested transgenic or wild-type plants.
Semantic Scholar - Genetic engineering of plant volatile terpenoids: ... (2013, 49 cit.)
30
Our algorithm is able to find policies whose performance is competitive with those found by a planning algorithm with full access to the dynamics of the domain and its derivatives.
Semantic Scholar - Continuous control with deep reinforcement learnin... (2015, 13178 cit.)
30
Planetary science – The study of planets (including Earth), moons, and planetary systems (in particular those of the Solar System) and the processes that form them.
Wikipedia - Outline of Earth sciences
26
string In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable. The latter may allow its elements to be mutated and the length changed, or it may be fixed (after creation).
Wikipedia - Glossary of computer science
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Ultimately, the research aims to contribute to the ongoing discourse on cybersecurity risk assessment in banking, providing actionable insights to navigate the complex landscape of digital risks and ensuring the continued trust and security of the financial ecosystem.
Semantic Scholar - CYBERSECURITY RISK ASSESSMENT IN BANKING: METHODOL... (2023, 23 cit.)
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Results from the second study show that the thermal trends predicted for the AM parts using graph theory approach agree with finite element analyses, and the computational time for predicting the temperature distribution was significantly reduced with graph theory.
Semantic Scholar - Thermal Modeling in Metal Additive Manufacturing U... (2019, 54 cit.)
39
Subtracting $500 from both sides, we get: $80x = $640.
MetaMathQA
20
In the 21st century, it further expanded to include observations based on gravitational waves.
Wikipedia - Astrophysics
14
The subtotal of Ray's purchase is $5.00 + $3.50 + $8.00 + $3.50 = $20.00.
MetaMathQA
33
According to IUPAC, element names are not proper nouns; therefore, the full name of an element is not capitalised in English, even if derived from a proper noun, as in californium and einsteinium. Isotope names are also uncapitalised if written out, e.g., carbon-12 or uranium-235.
Wikipedia - Chemical element
45
Single-letter formulas of key-capacity are obtained for several models, and bounds to key-capacity are derived for other models. >
Semantic Scholar - Common randomness in information theory and crypto... (1993, 1276 cit.)
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On Thursday, she had 24 paperclips.
MetaMathQA
9
For example, the proper divisors of 12 are 1, 2, 3, 4, and 6, and their sum is $1+2+3+4+6=16$.
MetaMathQA
39
We can draw a diagram of the trapezoid with vertices A(0,0), B(0,-2), C(4,0), and D(4,6).
MetaMathQA
38
3$. Substituting this into $2pq = 12$, we find that $2p(\pm 3) = 12$. Solving for $p$, we get $p = \pm 2$.
MetaMathQA
45
The cost of 3 sandwiches at $5 each is 3*$5 = $<<3*5=15>>15.
MetaMathQA
25
= (r - x)q + 2$. Since we know that the remainder is 2, we can simplify the equation: $(r - 1)(r^{12} + r^{11} + r^{10} + ... + r + 1)
MetaMathQA
56