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Let's call the size of the guest bedroom G. | MetaMathQA | 11 |
With this work, we hope to steer some of the GNN research towards new aggregation methods which we believe are essential in the search for powerful and robust models. | Semantic Scholar - Principal Neighbourhood Aggregation for Graph Nets... (2020, 660 cit.) | 29 |
Predicting the Future - Big Data, Machine Learning, and Clinical Medicine. | Semantic Scholar - Predicting the Future - Big Data, Machine Learning... (2016, 2275 cit.) | 11 |
That is, methods that can be introduced to clinical settings and guide, for example, diagnosis classification or personalized treatment. In this review, we aim to outline the potential benefits of statistical learning methods in clinical research. | Semantic Scholar - Machine learning, statistical learning and the fut... (2016, 240 cit.) | 36 |
Changes in sea level damage beaches and coastal systems are expected to rise at an increasing rate, causing coastal sediments to be disturbed by tidal energy. Coastal zones occupy less than 15% of the Earth's land area, while they host more than 40% of the world population. | Wikipedia - Coastal management | 47 |
The track rests on ballast, which is laid on a concrete screed. | Wikipedia - Charenton Metro-Viaduct | 12 |
Although the construction is called imaginary, and although the concept of an imaginary number may be intuitively more difficult to grasp than that of a real number, the construction is valid from a mathematical standpoint. | Wikipedia - Imaginary unit | 35 |
The largest two-digit prime is 97. | MetaMathQA | 9 |
Similarly, Marcus Terentius Varro in "Rerum rusticarum libri tres" and Publius Vergilius Maro propose that wasps and bees originate from animals like horses, calves, and donkeys, with wasps coming from horses and bees from calves or donkeys. | Wikipedia - History of genetics | 37 |
Substituting this value into $J = L + 6$, we have $J = 10 + 6 = 16$. | MetaMathQA | 25 |
From Monday to Thursday, he borrows the daily average of 40 books per day, which is 4 days x 40 books = 160 books. | MetaMathQA | 28 |
Such fluids obey the Navier–Stokes nonlinear partial differential equations, whose solution is essential to the aerospace industry, weather forecasting, plasma magneto-hydrodynamics, and astrophysics. Here we present a quantum algorithm for solving the Navier–Stokes equations. | Semantic Scholar - Finding flows of a Navier–Stokes fluid through qua... (2020, 146 cit.) | 34 |
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a
d
{\displaystyle S_{rec}\sigma _{zz}(.,t)=F(.,t)S_{load}}
Based on the decomposition of the elastic potentials and the integral transform, the vertical displacement respons... | Wikipedia - Critical embankment velocity | 57 |
In the past, 110–120 V was not high enough for higher-power tube audio and television applications, and only suitable to operate low-power radio and audio equipment such as radio receivers. | Wikipedia - AC/DC receiver design | 30 |
short descriptions of redirect targets Geologist – Scientist who studies geology Petroleum Geologist – Earth scientist who works in geological aspects of oil discovery and production Geophysical Prospector – Systematic collection of geophysical data for spatial studies Geophysicist – Physics of the Earth and its vicini... | Wikipedia - Outline of geology | 60 |
To solve this problem, we need to determine the value of x, which represents the number of tissues Tucker used while he was sick with the flu. | MetaMathQA | 30 |
An alternative method of extending the classical approach which requires only one graph was proposed by Chen in 1965. Chen's method is based on a rooted tree. | Wikipedia - Circuit topology (electrical) | 27 |
Ecology portal
Bioindicator
Biological integrity
Biological monitoring working party (a measurement procedure)
Indicator species
Water pollution | Wikipedia - Aquatic biomonitoring | 16 |
In particular, air permeability is almost universally used in the cement industry as a gauge of product fineness which is directly related to such properties as speed of setting and rate of strength development. Other fields where air permeability has been used to determine specific surface area include:
Paint and pig... | Wikipedia - Air permeability specific surface | 58 |
If there are 75 hogs, and there are three times as many hogs as cats, then there are 75/3 = 25 cats in King Henry's kingdom. | MetaMathQA | 34 |
customers.: 98 Web search algorithms have also been accused of bias. Google's results may prioritize pornographic content in search terms related to sexuality, for example, "lesbian". This bias extends to the search engine showing popular but sexualized content in neutral searches. | Wikipedia - Algorithmic bias | 41 |
Substituting the given information, we have $90^\circ + 90^\circ = 180^\circ$, which is true. | MetaMathQA | 30 |
These experiments are the culmination of a series of experiments started by John Clauser in the 1970s and significantly advanced by Alain Aspect in the 1980s among others. Clauser, Aspect, and Zeilinger share the Nobel Prize in Physics 2022 for their results. | Wikipedia - Timeline of quantum mechanics | 42 |
It begins with an introduction to actuation technologies and material selection in soft robotics, followed by an in-depth exploration of various types of sensors, their integration methods, and the benefits of multimodal sensing, signal processing, and control strategies. | Semantic Scholar - Sensing in Soft Robotics... (2023, 136 cit.) | 38 |
Burt spent $2.00 on a packet of basil seeds and $x on potting soil. | MetaMathQA | 21 |
If Top is the category of topological spaces and continuous maps and Cit is the category of complete atomic interior algebras and complete topomorphisms then Top and Cit are dually isomorphic and A : Top → Cit is a contravariant functor that is a dual isomorphism of categories. | Wikipedia - Interior algebra | 48 |
ECCO
B. E. Kirsop, C. P. Kurtzman, T. Nakase, D. Yarrow, Living Resources for Biotechnology : Yeasts, 1988, p. 208
D. L. Hawksworth, B. E. Kirsop, S. C. Jong, Filamentous Fungi (Living Resources for Biotechnology), 1988, pp. 182–183 | Wikipedia - European Culture Collections' Organisation | 38 |
The prime factorization of 1050 is $2\cdot3\cdot5^2\cdot7$, so $n$ must not have any of these prime factors. | MetaMathQA | 37 |
The study provides a study on energy storage technologies for photovoltaic and wind systems in response to the growing demand for low-carbon transportation. Energy storage systems (ESSs) have become an emerging area of renewed interest as a critical factor in renewable energy systems. | Semantic Scholar - Energy Storage Systems for Photovoltaic and Wind S... (2023, 83 cit.) | 43 |
In the Ziegler process, linear alcohols are produced from ethylene and triethylaluminium followed by oxidation and hydrolysis. An idealized synthesis of 1-octanol is shown:
Al(C2H5)3 + 9 C2H4 → Al(C8H17)3
Al(C8H17)3 + 3O + 3 H2O → 3 HOC8H17 + Al(OH)3
The process generates a range of alcohols that are separated by ... | Wikipedia - Alcohol (chemistry) | 53 |
Although the existing theories including the classical nucleation theory explain well the steady nucleation state when the crystal nucleation rate is not time dependent, the initial non-steady state transient nucleation, and even more mysterious incubation period, require more attention of the scientific community. | Wikipedia - Nucleation | 43 |
Recursive indexing with a 2-letter alphabet is called unary code. | Wikipedia - Recursive indexing | 10 |
⟩ , m ∈ { − j , − j + 1 , … , j } . | Wikipedia - Clebsch–Gordan coefficients | 18 |
It is celebrated by major engineering professional institutions, such as the Institution of Civil Engineers, the China Association for Science and Technology, Engineers Canada, Engineers Australia, Ingénieurs et scientifiques de France, as well as NGOs such as DiscoverE, Engineers Without Borders, universities such as... | Wikipedia - UNESCO World Engineering Day for Sustainable Development | 57 |
Most North American transmission lines are high-voltage three-phase AC, although single phase AC is sometimes used in railway electrification systems. DC technology is used for greater efficiency over longer distances, typically hundreds of miles. | Wikipedia - Electric power transmission | 34 |
Therefore, the generalizability of machine learning models benefits from feature selection, which aims to extract only the most “informative” features and remove noisy “non-informative,” irrelevant and redundant features. | Semantic Scholar - A Review of Feature Selection Methods for Machine ... (2022, 413 cit.) | 28 |
The test became widely used in the mid-20th century and was among the earliest tools for determining chromosomal sex in clinical and research contexts. | Wikipedia - Barr body | 24 |
Dramatic recent improvements in achievable simulation speed and the underlying physical models have enabled atomic-level simulations on timescales as long as milliseconds that capture key biochemical processes such as protein folding, drug binding, membrane transport, and the conformational changes critical to protein ... | Semantic Scholar - Biomolecular simulation: a computational microscop... (2012, 1020 cit.) | 43 |
Let's first convert the radius of the back wheel from inches to feet:
Radius of back wheel = 4 inches = 4/12 feet = 1/3 feet
The circumference of a wheel can be calculated using the formula: circumference = 2πr, where r is the radius. | MetaMathQA | 59 |
(ed.), Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, SIAM, pp. 186–190, ISBN 978-0-89871-336-7 As postscript
Hart, George W. (1995), Multidimensional Analysis: Algebras and Systems for Science and Engineering, Springer-Verlag, ISBN 978-0-387-94417-3
Huntley, H. E. (1967), Dimensional Analysis, Dov... | Wikipedia - Dimensional analysis | 49 |
Billy made 49 sandwiches. | MetaMathQA | 5 |
Primary food processing involves turning agricultural products into other products that can be turned into food, secondary food processing is the making of food from readily available ingredients, and tertiary food processing is commercial production of ready-to eat or heat-and-serve foods. | Wikipedia - Biochemical engineering | 41 |
In this perspective article, the historical development and current state of data‐driven materials science, building from the early evolution of open science to the rapid expansion of materials data infrastructures are discussed. | Semantic Scholar - Data‐Driven Materials Science: Status, Challenges,... (2019, 547 cit.) | 32 |
The result led to the stimulation of the NAD(P)H enzyme and its cyclic pathway; causing a continuous increase in chlorophyll fluorescence levels within the oat. | Wikipedia - Chlororespiration | 25 |
Hebbian update:
Δ
Q
i
j
=
β
y
i
(
x
j
... | Wikipedia - Anti-Hebbian learning | 40 |
So she had 100 pens - 40 pens = 60 pens left. | MetaMathQA | 13 |
The journal covers astronomy, astrophysics, cosmology, planetary science, solar-terrestrial physics, global and regional geophysics, and the history of these subjects. It also publishes thematic articles regarding interdisciplinary research, science policy, news, opinions, correspondence, and book and software reviews.... | Wikipedia - Astronomy & Geophysics | 54 |
The architecture of software-intensive systems can empower architects who can leverage architecture-centric processes, practices, description languages, etc., to model, develop, and evolve quantum computing software (quantum software for short) at higher abstraction levels. | Semantic Scholar - Software Architecture for Quantum Computing System... (2022, 68 cit.) | 33 |
Heat transfer is a process function (or path function), as opposed to functions of state; therefore, the amount of heat transferred in a thermodynamic process that changes the state of a system depends on how that process occurs, not only the net difference between the initial and final states of the process. | Wikipedia - Heat transfer | 52 |
English scientist John Dalton proposed the modern theory of atoms; that all substances are composed of indivisible 'atoms' of matter and that different atoms have varying atomic weights. | Wikipedia - Chemistry | 28 |
brittle in the face of spurious correlations in graph and problem settings. We then propose Build-a-Graph Prompting and Algorithmic Prompting, two instruction-based approaches to enhance LLMs in solving natural language graph problems. | Semantic Scholar - Can Language Models Solve Graph Problems in Natura... (2023, 190 cit.) | 32 |
The researchers aimed to show that being conscious of a stimulus and paying attention to it was not the same thing. To test the relationship between attention and awareness, they had the participant try to determine where a target was and whether it was oriented horizontally or vertically on a computer screen. | Wikipedia - Blindsight | 52 |
We can simplify the expression inside the parentheses first: $5^2-4^2=(5+4)(5-4)=9$.
Then, we raise 9 to the third power: $9^3=9\cdot9\cdot9=729$. | MetaMathQA | 57 |
Baskin-Sommers, Early Selective Attention Abnormalities in Psychopathy: Implications for Self-Regulation. T.J. Simon, S.J. Luck, Attentional Impairments in Children with Chromosome 22q11.2 Deletion Syndrome. R.G. O'Connell, I.H. Robertson, Training the Brain: Nonpharmacological Approaches to Stimulating Cognitive Plast... | Semantic Scholar - The Cognitive Neuroscience of Attention... (2020, 629 cit.) | 44 |
This so-called Shilov system is today one of the few true catalytic systems for alkane functionalizations. In some cases, discoveries in C-H activation were being made in conjunction with those of cross coupling. In 1969, Yuzo Fujiwara reported the synthesis of (E)-1,2-diphenylethene from benzene and styrene with Pd(OA... | Wikipedia - Carbon–hydrogen bond activation | 59 |
Using data drawn from the Faint Images of the Radio Sky at Twenty Centimeters (FIRST) and TIFR GMRT Sky Survey (TGSS), they investigate the most powerful radio sources, namely the largest elliptical galaxies emitting plasma-filled jets. The abstract begins: "We study the mutual alignment of radio sources within two sur... | Wikipedia - Radio Galaxy Zoo | 53 |
Hence, to achieve global environmental needs, transition to renewable energy sources is essential. However, financial constraints along with geopolitical risks could act as possible barriers to the required transition. | Semantic Scholar - The impact of financial development and geopolitic... (2021, 159 cit.) | 29 |
The way in which the Schwann cells and oligodendrocytes myelinate nerves differ. A Schwann cell usually myelinates a single axon, completely surrounding it. Sometimes, they may myelinate many axons, especially when in areas of short axons. Oligodendrocytes usually myelinate several axons. They do this by sending out th... | Wikipedia - Central nervous system | 59 |
At this time, these concepts seemed totally disconnected from the physical reality, but at the beginning of the 20th century, Albert Einstein developed the theory of relativity that uses fundamentally these concepts. In particular, spacetime of special relativity is a non-Euclidean space of dimension four, and spacetim... | Wikipedia - Mathematics | 57 |
In assumption-based argumentation (ABA) frameworks, arguments are defined as a set of rules and attacks are defined in terms of assumptions and contraries. | Wikipedia - Argumentation framework | 23 |
Common methods include uranium–lead dating, potassium–argon dating, argon–argon dating and uranium–thorium dating. These methods are used for a variety of applications. Dating of lava and volcanic ash layers found within a stratigraphic sequence can provide absolute age data for sedimentary rock units that do not conta... | Wikipedia - Geology | 53 |
= (2/3)*105 = 70. | MetaMathQA | 10 |
The combination of these methods with the Long Short-term Memory RNN architecture has proved particularly fruitful, delivering state-of-the-art results in cursive handwriting recognition. However RNN performance in speech recognition has so far been disappointing, with better results returned by deep feedforward networ... | Semantic Scholar - Speech recognition with deep recurrent neural netw... (2013, 8501 cit.) | 42 |
As an example, Ahmes' expansion 2 37 = 1 24 + 1 111 + 1 296 {\displaystyle {\tfrac {2}{37}}={\tfrac {1}{24}}+{\tfrac {1}{111}}+{\tfrac {1}{296}}} fits this pattern with A = 24 {\displaystyle A=24} and 2 A − p = 11 = 8 + 3 {\displaystyle 2A-p=11=8+3} , as 1 111 = 8 24 ⋅ 37 {\displaystyle {\tfrac {1}{111}}={\tfrac {8}{24... | Wikipedia - Egyptian fraction | 60 |
We review methodological developments in electrophysiological source imaging over the past three decades and envision its future advancement into a powerful functional neuroimaging technology for basic and clinical neuroscience applications. | Semantic Scholar - Electrophysiological Source Imaging: A Noninvasive... (2018, 213 cit.) | 30 |
We the People has 17 cows. | MetaMathQA | 7 |
To solve this problem, we need to determine the value of x, which represents the number of packs of black shirts that Mandy bought. | MetaMathQA | 28 |
As digitalised calculators seemed to be more efficient and user-friendly, their functional capacities attract more technological-related and large scale industries in application. Nowadays, even though calculators have become more affordable and convenient, suanpans are still commonly used in China. | Wikipedia - Suanpan | 39 |
Today common coding theory is closely related to research and theory in two intersecting fields of study: Mirror neurons systems and embodied cognition. As concerns mirror systems, common coding seems to reflect the functional logic of mirror neurons and mechanisms in the brain. As concerns embodied cognition, common c... | Wikipedia - Common coding theory | 59 |
Converting the depth from inches to feet, we have 18 inches = 1.5 feet. | MetaMathQA | 19 |
To that end, experiments are performed and observations are made in order to determine the validity or invalidity of a theory. A scientific law is a concise verbal or mathematical statement of a relation that expresses a fundamental principle of some theory, such as Newton's law of universal gravitation. | Wikipedia - Physics | 49 |
Chi sites serve as stimulators of DNA double-strand break repair in bacteria, which can arise from radiation or chemical treatments, or result from replication fork breakage during DNA replication. The sequence of the Chi site is unique to each group of closely related organisms; in E. | Wikipedia - Chi site | 46 |
William rode the maximum time, which is 6 hours, for 2 days, so he rode a total of 6 hours x 2 days = 12 hours. | MetaMathQA | 30 |
A more elliptical orbit relating to eccentricity also increases chaotic rotation. Lyapunov time measures the rate at which the rotation of a body becomes chaotic. There is also tidal despinning, where tidal forces slow a satellite's rotation. | Wikipedia - Chaotic rotation | 37 |
From the constitutive relations, for Tellegen media, κ = 0,
B
=
μ
H
+
χ
ε
μ
E
{\displaystyle B=\mu H+\chi {\sqrt {\varepsilon \mu }}E}
This implies that the B fiel... | Wikipedia - Bi-isotropic material | 39 |
Subtracting 22.4 from both sides, we get: 1.4x = 19.6. | MetaMathQA | 23 |
Thus, machine learning is not well suited to help make decisions in areas where there is hope that the future will be better than the past. It is descriptive rather than prescriptive. Bias and unfairness may go undetected because the developers are overwhelmingly white and male: among AI engineers, about 4% are black a... | Wikipedia - Artificial intelligence | 57 |
A pericyclic sequence involving intramolecular hetero-cycloaddition reactions was employed in the total synthesis of naturally occurring alkaloid (–)-vindorosine (Scheme 9). Rapid access to the
target was achieved from a solution of 1,3,4-oxadiazole 44 in triisopropyl benzene subjected to high temperatures and reduced ... | Wikipedia - Cascade reaction | 53 |
After 1 hour, Mary will have run 5 miles per hour x 1 hour = 5 miles. | MetaMathQA | 19 |
the training set. The bias (first term) is a monotone rising function of k, while the variance (second term) drops off as k is increased. In fact, under "reasonable assumptions" the bias of the first-nearest neighbor (1-NN) estimator vanishes entirely as the size of the training set approaches infinity. | Wikipedia - Bias–variance tradeoff | 49 |
CRISPR/Cas Genome Editing and Precision Plant Breeding in Agriculture. | Semantic Scholar - CRISPR/Cas Genome Editing and Precision Plant Bree... (2019, 1009 cit.) | 9 |
First, we find $f(1)$ by substituting $x=1$ into the expression for $f(x)$: $f(1) = 3(1^2) - 5 = -2$. | MetaMathQA | 47 |
Their orbits have eccentricities less than 0.33 and inclinations below 30°. At Jupiter distance are the three specific dynamic groups of asteroids. The Trojans share the orbit of Jupiter. They are divided into the Greeks at L4 (ahead of Jupiter) and the Trojans at L5 (trailing Jupiter). | Wikipedia - Dust astronomy | 47 |
Since the quality of clustering is not only dependent on the distribution of data points but also on the learned representation, deep neural networks can be effective means to transform mappings from a high-dimensional data space into a lower-dimensional feature space, leading to improved clustering | Semantic Scholar - Deep learning-based clustering approaches for bioi... (2020, 224 cit.) | 45 |
Kat dedicates 1 hour to strength training at the gym 3 times a week, so she trains 1 * 3 = 3 hours for strength training. | MetaMathQA | 29 |
Belmont, Massachusetts: Athena Scientific. ISBN 978-1-886529-39-7. Grossi, Csaba (2010). Algorithms for Reinforcement Learning. Synthesis Lectures on Artificial Intelligence and Machine Learning (1 ed.). Cham: Springer International Publishing. ISBN 978-3-031-00423-0. Grondman, Ivo; Busoniu, Lucian; Lopes, Gabriel A. D... | Wikipedia - Actor-critic algorithm | 52 |
The recipe calls for X \frac{1}{2}$ cups of flour. | MetaMathQA | 17 |
In the basic version of this experiment, a coherent light source, such as a laser beam, illuminates a plate pierced by two parallel slits, and the light passing through the slits is observed on a screen behind the plate.: 102–111 : 1.1–1.8 The wave nature of light causes the light waves passing through the two slits to... | Wikipedia - Quantum mechanics | 60 |
Their performance easily stagnates by constructing complex ensembles that combine multiple low-level image features with high-level context from object detectors and scene classifiers. | Semantic Scholar - Object Detection With Deep Learning: A Review... (2018, 3979 cit.) | 23 |
Appleby, D.M. (2007). "Symmetric informationally complete measurements of arbitrary rank". Optics and Spectroscopy. 103 (3): 416–428. arXiv:quant-ph/0611260. Bibcode:2007OptSp.103..416A. doi:10.1134/S0030400X07090111. S2CID 17469680. Bäuerle, Gerard G. A.; de Kerf, Eddy A. (1990). Lie Algebras, Part 1: Finite and Infin... | Wikipedia - Bloch sphere | 60 |
However, little effort has been devoted to the formal analysis of the quality of the solution returned by such algorithms, e.g. as a function of the number of samples. | Semantic Scholar - Sampling-based algorithms for optimal motion plann... (2011, 4665 cit.) | 29 |
The designations 1,2 and 1,4 are derived from numbering the atoms of the starting compound where the oxygen is labeled “1” and each atom adjacent to the oxygen are sequentially numbered out to the site of nucleophilic addition. A 1,2-addition occurs with nucleophilic addition to position 2 while a 1,4-addition occurs w... | Wikipedia - Arrow pushing | 57 |
Dividing both sides by 10, we get: x = 250. | MetaMathQA | 15 |
For the prime factor 7, we have 2 choices: 0 or 1. | MetaMathQA | 15 |
Fault gouge – an incohesive, clay-rich fine- to ultrafine-grained cataclasite, which may possess a planar fabric and containing <30% visible fragments. Rock clasts may be present
Clay smear – clay-rich fault gouge formed in sedimentary sequences containing clay-rich layers which are strongly deformed and sheared into t... | Wikipedia - Fault (geology) | 49 |
He also has 50 more black cookies than white cookies, so the number of black cookies he has is 80 + 50 = 130. | MetaMathQA | 26 |
There are also several related notations:
the notation {hkℓ} denotes the set of all planes that are equivalent to (hkℓ) by the symmetry of the lattice. | Wikipedia - Glossary of engineering: M–Z | 26 |
(Tantalum-180m is odd-odd and observationally stable, but is predicted to decay with a very long half-life.) Also, only four naturally occurring, radioactive odd-odd nuclides have a half-life over a billion years: potassium-40, vanadium-50, lanthanum-138, and lutetium-176. | Wikipedia - Atom | 36 |
We know that the number of zebras is three times the number of foxes, so we have 15 foxes * 3 = 45 zebras. | MetaMathQA | 32 |
The activation function of SNNs are "scaled exponential linear units" (SELUs), which induce self-normalizing properties. | Semantic Scholar - Self-Normalizing Neural Networks... (2017, 2499 cit.) | 15 |
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