The 20th century saw several notable mathematicians from New Zealand who made significant contributions to various fields of mathematics. Here are a few prominent figures: 1. **M. D. (Murray) Wilkes** - Known for his work in algebra and functional analysis, Wilkes also contributed to the development of mathematical education in New Zealand. 2. **G. K.
The number 76 is a natural number that follows 75 and precedes 77. It is an even number and can be expressed in various numerical representations: - **Mathematically**: It can be factored into prime numbers as \(76 = 2^2 \times 19\). - **In Roman numerals**: 76 is represented as LXXVI. - **In binary**: Its binary representation is \(1001100\).
Algebraic Modeling Language (AML) refers to a high-level mathematical language used for formulating and solving optimization problems, typically in operations research, economics, and various fields of engineering and computer science. While there isn't a specific standard called "Algebraic Modeling Language," the term is often associated with several modeling languages that allow users to define variables, constraints, and objective functions in a way that resembles algebraic notation.
The \((2,3,7)\) triangle group, denoted as \(\Delta(2,3,7)\), is a type of discrete group that arises in the study of hyperbolic geometry and can be constructed as a group of isometries of hyperbolic space.
The Aneesur Rahman Prize for Computational Physics is an award established to recognize outstanding accomplishments in the field of computational physics. Named after Aneesur Rahman, a pioneer in the use of computer simulations in physics, the prize honors individuals or groups who have made significant contributions through the development and application of computational methods in various areas of physics.
40-bit encryption refers to a type of encryption that uses a key length of 40 bits to encrypt data. In this context, a key is a string of bits that is used in conjunction with an encryption algorithm to convert plaintext (readable data) into ciphertext (encoded data) and vice versa. ### Key Features of 40-Bit Encryption: 1. **Key Length**: The "40-bit" designation indicates that there are 2^40 (approximately 1.
"2 gauge" can refer to different things depending on the context: 1. **Electrical Wiring**: In electrical applications, 2 gauge wire is a size of wire used for electrical installations. The American Wire Gauge (AWG) system defines the diameter of the wire, and 2 gauge wire has a diameter of approximately 0.2576 inches (6.54 mm).
The Birmingham Solar Oscillations Network (BiSON) is a research initiative based at the University of Birmingham in the UK. It focuses on the study of solar oscillations, which are waves that travel through the Sun's interior and are a result of various physical processes, such as convection and magnetic fields. These oscillations provide valuable information about the Sun's structure and dynamics.
The number 35 is a composite number, meaning it has divisors other than 1 and itself. Its prime factorization is \(5 \times 7\). In terms of other mathematical contexts, 35 is the sum of the first five triangular numbers and can also be represented in various numeral systems, like binary (100011) and hexadecimal (23). In addition to its mathematical properties, 35 might also have significance in contexts like age, sports numbers, or cultural references.
The 37th meridian east is a line of longitude that is 37 degrees east of the Prime Meridian, which runs through Greenwich, London. This meridian runs from the North Pole to the South Pole and crosses various countries and geographical features. Starting from the North, it passes through parts of eastern Europe, including Romania and Bulgaria, and continues through countries in Africa such as Egypt.
2D adaptive filters are algorithms used in signal processing to filter two-dimensional data, such as images or video frames. Unlike traditional filtering methods, which apply a fixed filter kernel, adaptive filters dynamically adjust their parameters based on the characteristics of the input data. This adaptability allows them to effectively handle non-stationary signals and can lead to better performance in various applications such as image enhancement, noise reduction, and feature extraction.
PROLITH is a software tool developed for the photolithography process in semiconductor manufacturing. It is widely used for simulating and optimizing photolithography processes, which are critical steps in the production of integrated circuits. The software helps engineers and researchers understand how different parameters, such as exposure dose, focus, and resist characteristics, affect the final patterns that are transferred onto semiconductor wafers.
Here are some notable books that delve into the philosophy of linguistics, exploring the intersection of language, meaning, and philosophical inquiry: 1. **"Word and Object" by Willard Van Orman Quine** - This seminal work challenges the distinction between analytic and synthetic truths and examines the nature of meaning, reference, and the relationship between language and the world. 2. **"Language, Truth, and Logic" by A.J.
Wally Smith is a mathematician known for his contributions to the field of mathematics, particularly in the areas of combinatorial design and finite geometry. He has been involved in various mathematical research, teaching, and outreach activities. Smith's work often intersects with topics such as graph theory and coding theory. However, specific details about his contributions or achievements may not be widely documented in mainstream academic literature.
Boundary layers refer to a thin region of fluid (liquid or gas) that is affected by the presence of a solid surface, such as the surface of a wing, a pipe wall, or any other boundary where the fluid dynamics are influenced by that surface. This concept is crucial in the field of fluid mechanics and is particularly important in the study of aerodynamics and hydrodynamics. The boundary layer typically forms when a fluid flows over a surface.
The Boy or Girl paradox is a thought experiment in probability that involves a seemingly counterintuitive scenario regarding gender. The classic version goes like this: A family has two children. We know that at least one of the children is a boy. What is the probability that both children are boys? Intuitively, many people might think the probability is 1/2, as there are two equally possible scenarios: either the children are (boy, boy) or (boy, girl).
For a commented initial example, see: e. Coli K-12 MG1655 gene thrA.
But BioCyc is generally better otherwise.
By default, the setup runs on CPU only, not GPU, as could be seen by running htop. But by the magic of PyTorch, modifying the program to run on the GPU is trivial:and leads to a faster runtime, with less
cat << EOF | patch
diff --git a/run.py b/run.py
index 104d363..20072d1 100644
--- a/run.py
+++ b/run.py
@@ -24,7 +24,8 @@ data_test = MNIST('./data/mnist',
data_train_loader = DataLoader(data_train, batch_size=256, shuffle=True, num_workers=8)
data_test_loader = DataLoader(data_test, batch_size=1024, num_workers=8)
-net = LeNet5()
+device = 'cuda'
+net = LeNet5().to(device)
criterion = nn.CrossEntropyLoss()
optimizer = optim.Adam(net.parameters(), lr=2e-3)
@@ -43,6 +44,8 @@ def train(epoch):
net.train()
loss_list, batch_list = [], []
for i, (images, labels) in enumerate(data_train_loader):
+ labels = labels.to(device)
+ images = images.to(device)
optimizer.zero_grad()
output = net(images)
@@ -71,6 +74,8 @@ def test():
total_correct = 0
avg_loss = 0.0
for i, (images, labels) in enumerate(data_test_loader):
+ labels = labels.to(device)
+ images = images.to(device)
output = net(images)
avg_loss += criterion(output, labels).sum()
pred = output.detach().max(1)[1]
@@ -84,7 +89,7 @@ def train_and_test(epoch):
train(epoch)
test()
- dummy_input = torch.randn(1, 1, 32, 32, requires_grad=True)
+ dummy_input = torch.randn(1, 1, 32, 32, requires_grad=True).to(device)
torch.onnx.export(net, dummy_input, "lenet.onnx")
onnx_model = onnx.load("lenet.onnx")
EOFuser as now we are spending more time on the GPU than CPU:real 1m27.829s
user 4m37.266s
sys 0m27.562s Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 3. Visual Studio Code extension installation.
Figure 4. Visual Studio Code extension tree navigation.
Figure 5. Web editor. You can also edit articles on the Web editor without installing anything locally.Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. 
- Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact