This article is aimed at giving a simple understanding of a Convolutional Neural Network (CNN).
This will be achieved in the following order:
- Understanding the Convolution operation
- Understanding Neural Networks
- Pre-Processing the data
- Understanding the CNN used
- Understanding Optimizers
- Making the predictions and calculating the accuracy
- Seeing a Neural Network in Action
What is Convolution?
In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function that expresses how the shape of one is modified by the other.
This operation is used in several areas such as probability, statistics, computer vision, natural language processing, image and signal processing, engineering, and differential equations.
This operation is mathematically represented as
(Image Source: Wikipedia)
Checkout this link for a visual understanding of the Convolution operation.
What are Artificial Neural Networks?
Artificial neural networks (ANN) or connectionist systems are computing systems vaguely inspired by the biological neural networks that constitute animal brains. Such systems “learn” to perform tasks by considering examples, generally without being programmed with any task-specific rules.
An ANN is a has a collection of smaller processing units called the artificial neurons which loosely resemble the biological neuron.
Biological Neural Circuit
(Image Source: Wikipedia)
A collection of interconnected circuits make a network
Artificial Neural Network
(Image Source: Wikipedia)
Now, we begin with the implementation
Importing the necessary libraries
import numpy as np import pandas as pd import matplotlib.pyplot as plt import seaborn as sns import tflearn.data_utils as du from keras.models import Sequential from keras.layers import Dense, Dropout, Flatten, Conv2D, MaxPool2D from keras.optimizers import RMSprop from keras.preprocessing.image import ImageDataGenerator from sklearn.metrics import confusion_matrix
Loading the dataset
train_data = pd.read_csv('../input/csvTrainImages 13440x1024.csv', header = None) train_label = pd.read_csv('../input/csvTrainLabel 13440x1.csv', header = None) test_data = pd.read_csv('../input/csvTestImages 3360x1024.csv', header = None) test_label = pd.read_csv('../input/csvTestLabel 3360x1.csv', header = None)
The dataset used here is the Arabic Handwritten Characters Dataset.
The trainImages.csv has 1024 columns and 13440 rows. Each column represents a pixel in an image and each row represents an individual gray-scale image. The value of each pixel varies from 0 -255.
train_data = train_data.iloc[:,:].values.astype('float32') train_label = train_label.iloc[:,:].values.astype('int32')-1 test_data = test_data.iloc[:,:].values.astype('float32') test_label = test_label.iloc[:,:].values.astype('int32')-1
Visualizing the dataset
def row_calculator(number_of_images, number_of_columns): if number_of_images % number_of_columns != 0: return (number_of_images / number_of_columns)+1 else: return (number_of_images / number_of_columns) def display_image(x, img_size, number_of_images): plt.figure(figsize = (8, 7)) if x.shape > 0: n_samples = x.shape x = x.reshape(n_samples, img_size, img_size) number_of_rows = row_calculator(number_of_images, 4) for i in range(number_of_images): plt.subplot(number_of_rows, 4, i+1) plt.imshow(x[i])
The training set
display_image(train_data, 32, 16)
The test set
display_image(test_data, 32, 16)
Encoding categorical variables
What are Categorical Variables?
In statistics, a categorical variable is a variable that can take on one of a limited, and usually fixed number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
In simple terms, the value of a categorical variable represents a category or class.
Why do we need to Encode Categorical Variables?
There is no meaning in performing operations on a number representing a category. So, categorical encoding needs to be done.
Check out this link on stackoverflow to understand with an example.
There are 28 letters in the Arabic alphabet. Therefore, there are 28 classes.
train_label = du.to_categorical(train_label,28)
What is Normalization?
Normalization is done to bring the entire data into a well defined range, preferably between 0 and 1
In neural networks, it is good idea not just to normalize data but also to scale them. This is intended for faster approaching to global minima at error surface.
(Source: Stack Overflow)
train_data = train_data/255 test_data = test_data/255 train_data = train_data.reshape([-1, 32, 32, 1]) test_data = test_data.reshape([-1, 32, 32, 1])
Reshaping is done to make the data represent a 2D image
train_data, mean1 = du.featurewise_zero_center(train_data) test_data, mean2 = du.featurewise_zero_center(test_data)
Feature-wise Zero Center is done to zero center every sample with specified mean. If not specified, the mean is evaluated over all samples.
Building the CNN
recognizer = Sequential() recognizer.add(Conv2D(filters = 32, kernel_size = (5,5),padding = 'Same', activation ='relu', input_shape = (32,32,1))) recognizer.add(Conv2D(filters = 32, kernel_size = (5,5),padding = 'Same', activation ='relu')) recognizer.add(MaxPool2D(pool_size=(2,2))) recognizer.add(Dropout(0.25)) recognizer.add(Conv2D(filters = 64, kernel_size = (3,3),padding = 'Same', activation ='relu')) recognizer.add(Conv2D(filters = 64, kernel_size = (3,3),padding = 'Same', activation ='relu')) recognizer.add(MaxPool2D(pool_size=(2,2), strides=(2,2))) recognizer.add(Dropout(0.25)) recognizer.add(Flatten()) recognizer.add(Dense(units = 256, input_dim = 1024, activation = 'relu')) recognizer.add(Dense(units = 256, activation = "relu")) recognizer.add(Dropout(0.5)) recognizer.add(Dense(28, activation = "softmax"))
What is Max Pooling?
Pooling means combining a set of data. The process of combining data follows some rules.
By definition, max pool takes the maximum value of a defined grid.
Max pooling is used to reduce the dimensions. It can also avoid over-fitting. Check out this blog for a better understanding on Max Pooling.
What is Dropout?
Dropout is a regularization technique for reducing overfitting in neural networks by preventing complex co-adaptations on training data. It is a very efficient way of performing model averaging with neural networks. The term “dropout” refers to dropping out units (both hidden and visible) in a neural network.
What is Flatten?
Flattening is done to convert the multidimensional data into a 1D feature vector to be used by the next layer which is the Dense Layer
What is a Dense Layer?
The Dense layer is just a layer of Artificial Neural Network. It is also called the fully connected layer.
Optimizer for the CNN
What is an optimizer?
Optimization algorithms helps us to minimize (or maximize) an Objective function (another name for Error function) E(x) which is simply a mathematical function dependent on the Model’s internal learnable parameters which are used in computing the target values(Y) from the set of predictors(X) used in the model. For example — we call the Weights(W) and the Bias(b) values of the neural network as its internal learnable parameters which are used in computing the output values and are learned and updated in the direction of optimal solution i.e minimizing the Loss by the network’s training process and also play a major role in the training process of the Neural Network Model .
(Source: Towards Data Science)
optimizer = RMSprop(lr=0.001, rho=0.9, epsilon=1e-08, decay=0.0)
The optimizer used here is an RMSprop. Click here to know more about RMSprop
recognizer.compile(optimizer = optimizer , loss = "categorical_crossentropy", metrics=["accuracy"])
Image data generator is used to generate batches of tensor image data with real time augmentation. This data is looped over in batches.
It is used to load the images in batches.
datagen = ImageDataGenerator( featurewise_center=False, samplewise_center=False, featurewise_std_normalization=False, samplewise_std_normalization=False, zca_whitening=False, rotation_range=10, zoom_range = 0.1, width_shift_range=0.1, height_shift_range=0.1, horizontal_flip=False, vertical_flip=False) datagen.fit(train_data)
Fitting the CNN to the training data
recognizer.fit_generator(datagen.flow(train_data,train_label, batch_size=100), epochs = 30, verbose = 2, steps_per_epoch=train_data.shape // 100)
Making the predictions
predictions = recognizer.predict(test_data) predictions = np.argmax(predictions,axis = 1)
Evaluating the model
Generating a confusion matrix
What is a Confusion matrix?
A confusion matrix is a technique for summarizing the performance of a classification algorithm. Classification accuracy alone can be misleading if you have an unequal number of observations in each class or if you have more than two classes in your dataset. Calculating a confusion matrix can give you a better idea of what your classification model is getting right and what types of errors it is making.
cm = confusion_matrix(test_label, predictions)
Calculating the accuracy
accuracy = sum(cm[i][i] for i in range(28)) / test_label.shape print("accuracy = " + str(accuracy))
An accuracy of 97% was obtained
Seeing a CNN in action
To see the working of a CNN in real time, check out this link. It shows the working of a CNN that is trained to recognize handwritten digits.


CASINO GAMES PROVIDER CONVERTING GAMBLING INTO GAMING
In this role math designer will be сreatively balancing the games to provide good gameplay experiences, to create profitable and successful slots, and to analyze statistically, categorize and verify the math. Math Designer is working closely with the entire game development team to deliver an overall enjoyable playing experience. Math designer collaborates with game platform engineers to create simulation tools, QA to improve gameplay testing, and business to ensure games perform well in production. Researching successful slot games and features will be a great part of the main activities for a math designer.
- Create and maintain mathematical models for slot games and games in other genres;
- Understand and reverse engineer math models for games on the market;
- Create computer simulation models for game math to ensure performance within required parameters;
- Work with various disciplines throughout the development cycle to deliver games to players;
- Verify mathematical correctness of game implementation collaborating with developers and testers;
- Playtest and tune games in development together with the other team members
- Draw conclusions from historical statistical analysis and supervising future analysis on slot statistics, profits, rankings, and player behavior with business development; team;
- Conduct performance analysis for games in production;
- Propose recommendations to fine-tune games in production for better performance.
- A degree in mathematics or equivalent experience;
- Strong background in combinatorics and probability;
- Strong skills in quantitative analysis and statistical modeling;
- An ability to perform well with deadlines and in a fast-paced environment;
- Flexibility to adapt to changing requirements;
- Experience in a math role in game development;
- Successfully shipped games;
- Experience with slots is a big plus;
- Setting bold and ambitious goals;
- Passion for great achievements regardless of the sphere of activity;
- Open for new challenges;
- Nice sense of humor.
- Full-time position (remote work);
- Enjoy working in a Hi-Tech resident company;
- Great community of Ruby experts and other industry professionals;
- Highly-competitive compensation, motivation, benefits, and social programs.


The Indisputable Existence of Santa Claus: The Mathematics of Christmas
Math, when properly applied, can lead to great advances and world-changing breakthroughs. But did you know it can also be used to improve your holiday celebrations? Oh yes! Not only can mathematics prove that Santa truly exists, but all sorts of holiday trimmings and trappings can be augmented and streamlined with math.
The Indisputable Existence of Santa Claus is a hilariously nerdy exercise in number-crunching that mixes geometry, statistical analysis, game theory, and other math techniques to optimize your holiday experience. In these pages, you’ll learn to calculate the ideal ingredients for decorating your tree, minimize wasting wrapping paper on unwieldly shapes, determine how much to spend on gifts for particular family members, randomize Secret Santa distributions effectively, and more. (The only part that felt like a stretch was offering insight into how to win Monopoly. Who plays Monopoly at Christmas?)
All this, and they manage to rescue Santa from statistical assassination. What more could you ask for? It’s funny, and yet you’re still learning. Now that’s a gift everyone can enjoy. The Indisputable Existence of Santa Claus is the most delightful math text on the market today.
|Author||Thomas Oléron Evans • Hannah Fry|
|Page Count||160 pages|
|Publisher||The Overlook Press|
|Amazon||Buy this Book|


No offense, but Ive always thought that math, especially algebra, just pretty much, well, was useless my whole life. Now that I get it, I have a whole new appreciation for its purpose and need in todays technological world! Plus, I can now honestly pursue my dream of being a video game creator and I probably would have realized too late that, without advanced math, you just cant do it!
I never regret the day I purchased Algebrator and I was blown away. The step by step problem solving method is unlike any other algebra program i've seen.
George Miller, LA
My search for a tool which can support my daughter academically ended with this software. It has all that a student need.
Margie Tate, VA
Am writing this comment cuz am grateful for this program, specially the graphs that can be shown for inequality solutions thank you.
Reese Pontoon, MO


Innovation, excellence, diversity
T: Telephone02 66810100
The study of mathematics is mandatory from Kindergarten to Year 10.
By studying mathematics, students learn to work mathematically – developing fluency, understanding, problem-solving, reasoning and communication skills.
The syllabus consists of the following strands:
In Year 11 and 12, the study of mathematics is optional. Courses offered include:
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telephone 02 66810100
We pay our respects and acknowledge the Bundjalung people who are the traditional custodians of the land on which this school stands and pay our respects to Elders both past and present.
Copyright for this website is owned by the State of New South Wales through the Department of Education. For more information go to http://www.dec.nsw.gov.au/footer/copyright.


Volume of a cylinder
Calculating the volume of a cylinder. A cylinder with radius r units and height h units has a volume of V cubic units given by. Formula and description of the volume of a cylinder. Volume of a cylinder explined with pictures, diagrams and many exampless. To calculate the volume of a cylinder we need to know the radius of the circular cross-section of the cylinder – this is the measurement from the centre of the circle.
Learn how to use these formulas to solve an. Need a custom math course? This lesson covers volume of a cylinder.
A BBC Bitesize secondary school revision resource for Standard Grade Maths I on volume : calculating the volume of cubes, cuboids, cylinders, prisms. A cylinder is a simple geometric shape with two equally-sized and parallel circular bases. You can use the formula for the volume of a cylinder to find that amount! You can think of a cylinder as being made up of many disks.
The volume of a cylinder can be determined by using the following formula: where r is the radius of the base circle and h is the height of the cylinder.
Like other prisms, the volume can be. Discover how to calculate the height of a cylinder when provided with the volume and radius or diameter. Learn about the volume of a cylinder using math videos, study tips and practice questions with step-by-step solutions. Trying to fill a cylinder with unit. Title of the Lesson: The relationship between the volume of a cylinder and its height and radius. Brief description of the lesson To help. This calculator will calculate the volume of a cylinder based on its height and radius.
If the total volume of this figure is 788,500 cubic feet, then how tall is the. Cylinders are very common, from cans to tubes, to internal combustion. Volume is the amount of space a 3-dimensional figure occupies. Since a cylinder has a round base one way to think of volume is to think of putting one circle on.
When you wake up in the morning, you may fill a glass with orange juice, water or milk. If so, you are already using a cylinder and dealing with volume. Surface Area of a Cylinder. There are different kinds of cylinders.
On this page we will be discussing the most. The image below shows what. This page has printable PDF worksheets that will help students learn to calculate the volumes of cylinders. It is the solid figure that you get. This basic formula can be extended to cover the volume of cylinders and prisms too.
Instead of a rectangular end, you simply have another shape: a circle for. Notice these interesting things: cylinder shiny. How do you work out the volume of a cylinder ? Find the volume and surface area of a cylindical storage tank with a radius of 15 feet and a height of 30 feet.


First, employers must determine whether a nonexempt employee has accumulated enough hours worked to become entitled to overtime pay. Now, let’s assume that the employee has worked enough hours and the issue is how much overtime must be paid.
Count on me
Normally, calculating overtime is a pretty simple mathematical exercise — you just determine what the employee’s regular rate of pay was for the week and pay 1.5 times that amount for each overtime hour worked. Thus, an employee who earns $10 an hour and works 44 hours in a week would be paid $460, calculated as follows:
$400 for the 40 straight-time hours ($10 x 40 hours = $400); and
$60 for the four overtime hours ($10 x 1.5 = $15 and $15 x 4 hours = $60).
Easy, right? But what if that scenario took place within a two-week pay period? Let’s suppose the employee worked four extra hours in the first week and then asked to leave four hours early the following Friday? Can you tell him that if he takes the time off, he won’t get any overtime because he will have worked only an average of 40 hours each week? Absolutely not!
Regardless of how long the payroll period runs, an employee’s entitlement to overtime must be calculated on the basis of single workweeks. Therefore, in our scenario, the employee must be paid his four hours of overtime for the first week of the payroll period regardless of how many hours he works or doesn’t work in the second week. You could try to balance the payroll costs of his overtime for the first week by giving the employee six hours of unpaid time off the next week (6 hours of straight time would offset the 4 hours of pay at the overtime rate), but no matter what, you have to pay the four overtime hours in the first week at time and a half.
Counting the time
But what if the employee works two jobs for the same company, you might ask — can we count those hours separately? The answer is almost always “no.” You must count all the employee’s hours together in determining whether he worked more than 40 hours in a week for the company. The only time you are likely to avoid that result is if one of the jobs is exempt from overtime and the exempt job constitutes the employee’s primary duties. This is usually a mathematical determination, but not always.
OK — we know an employee working two different nonexempt jobs must be paid overtime for any hours worked over 40 in a week, but how do you calculate the overtime when the two jobs have different pay rates? The answer lies in what’s called “the blended rate.” Consider an employee who works 30 hours a week as a custodian at $10 an hour and 10 hours in security at $14 an hour. Ordinarily, he would earn $440 per week ($10 x 30 hours + $14 x 10 hours). If the employee needs to work four extra hours on the weekend as a custodian, you must add up the total compensation owed for each job, and then divide that sum by the total number of hours worked to arrive at the regular hourly rate.
In this example, you would divide the total compensation of $440 by 40 hours to arrive at a regular hourly rate of $11. Therefore, you would have to pay $16.50 ($11 x 1.5) for each of the four overtime hours, for a total overtime payment of $66 for the week in addition to the regular $440 earned at the straight-time rate.
That’s for sure
Those are the basics of calculating overtime.Others include how to pay overtime to salaried nonexempt employees, how to figure bonuses and other periodic payments into the overtime rate, and how to handle unique forms of pay such as commissions, piece rates, and daily wages.


Accelerated Math – Math proficiency is critical for students’ college and career readiness, and Accelerated Math helps ensure that proficiency for every student. Accelerated Math’s unique methods have been proven effective in more K12 classrooms than any other math program. A total of 101 independent research studies confirm it.
Now, Accelerated Math helps teachers personalize dynamic math practice based on Common Core State Standards, grouping students according to STAR Math interim assessment data. Teachers can easily provide dynamic practice for grade-level Common Core State Standards and foundational skills development while monitoring progress toward success on PARCC exams at a glance using the teacher dashboard.
Think Through Math – Think Through Math is designed to supplement the teacher’s instruction in remedial mathematics. It is a web-based learning system that helps your students build the foundational math skills that are critical to their college success. With Think Through Math, your students can accelerate their learning — helping them avoid falling into the “transition gap” and advance into gateway coursework.
Desmos Graphing Calculator (it is either an app or built for the browser) – A graphing calculator that lives in your browser. Picture below of the actual app.
GeoGebra (it is either an app or built for the browser) – interactive and dynamic materials to teach Geometry. It even comes with materials! It allows students to see touch and experience math.
Here is a link to some free materials on it.
Below is a picture of something that could be generated on GeoGebra.
Articles – Differentiation
NewsELA – Differentiate your articles by using NewsELA. News ELA takes different articles and breaks them up for students with different reading (lexile) levels. This way all students can participate in the conversation. Also, it generates quizzes for students to take as based on what they read at their level.
Still thinking about what to do?
Check out this great article from education world on how to incorporate technology while using common core standards.


I Can Say My Number Pairs 10 | Math Song for Kids | Number Bonds | Jack Hartmann
Number pairs for 10. This number pairs song engages students to demonstrate the number bonds for 10 with their fingers for active engagement and strengthening brain and body connections. Number pairs are all the different combinations of numbers that compose a specific number.The concept of number bonds is very basic, an important foundation for understanding how numbers work.
Counting By Twos Song (Learn to Count by 2 for Kids)
The Counting By Twos Song by Have Fun Teaching is a counting song that teaches skip counting by two. Download the Counting Videos: http://havefunteaching.com/videos/counting-videos/ Download the Counting Songs: http://havefunteaching.com/songs/counting-songs/ Get This Video on DVD: http://havefunteaching.com/videos/counting-videos/counting-dvd/ Get the Counting Songs CD: http://havefunteaching.com/songs/counting-songs/
WWW.HARRYKINDERGARTENMUSIC.COM ...or find me on Teachers Pay Teachers! www.teacherspayteachers.com/Store/Harry-Kindergarten-Music HARRY KINDERGARTEN MUSIC, LLC Hip educational songs & videos for the K-2 Classroom! Song: DOUBLES! DOUBLES! (1-10 VERSION) Educational Content: Practicing "doubles" addition; This version has both the "small doubles" and the "big doubles" in one song, whereas my previous versions repeated one or the other in both verses.


Calculate the cost of heating and cooling a greehouse.
The question is best answered by using an example, but first some formulas: Watts=amps*volts 1 KWH = 3,413 BTU 1500W electric heater produces 5120BTU Propane is 91,600BTU/gallon Q=deltaT*A/R Q=BTU heat requirement per hour delta T is the difference between outside temp and desired inside temp A= the surface are of the greenhouse is square feet, not including the floor; ie, the roof, side walls, and end walls R= the R value of the glazing
Two important points about this last formula...some heating calculators use "heat loss value" (HLV) instead of R-value. Don't get confused, the HLV is just 1/R. The formula using heat loss value is then Q=deltaT*A*HLV. The other important point is that you use a different temperature when calculating your average energy costs over a month than you do when you you calculate what size heater you need. Heater calculations are used to determine how much heat you will need on the coldest night of the year. For this, you use your coldest winter temps, for example the colder end of your zone. For calculating heating costs you need the average temperature for the month.
Here are some typical R-values for common glazings or coverings: 4 mil polyethylene 0.83; 4 mm (5/32") twinwall polycarbonate 1.43; 6 mil polyethylene 0.87; 6 mm (1/4") twinwall polycarbonate 1.54; 6 mil poly double layer (inflated) 1.43; 11 mil woven polyethylene 0.95; 3 mm (1/8") glass (single layer) 0.88; 16 mm (5/8") triplewall polycarbonate 2.5; Polycarbonate/fiberglass (single layer) 0.83
OK, let's say we are contemplating an ACF 10 x 12 Cottage Greenhouse. We first need to calculate the surface area of the greenhouse. Using the diminsions found on the website and some simple geometry, we calculate the surface area of each sidewall to be 55 sq ft, each roof side to be 64.6 sq ft, and each end wall to be 75 sq ft. Therefore the total area (A) is sq ft is (55*2)+(64.6*2)+(75*2)=389.2 sq ft.
The website tells us that this GH comes in 6mm twinwall polycarbonate, so the R-value is 1.54. A quick search shows that in this particular zone 7a, the average January temperature to be 28.4 degrees. We want to keep our greenhouse at 50 degrees. So the "delta T" is 50-28.4=21.6 degrees. Now we can calculate the BTU per hour necessary to heat the greenhouse in January. Q=deltaT*A/R. Substituting the numbers, Q=389.2*21.6/1.54=5459 BTU. To figure daily use, multiply by 24 hours to get 131016 BTU/day. To figure monthly use, multiply again by 30 (days in the month) to get 3,930,480 BTU/month.
Now, lets say we heat with propane. Knowing the BTU in a gallon of propane, we can take our BTU/month and divide by the number of BTU in a gallon of propane. 3,930,480/91,600BTU/gal propane to get 42.9 gallons of propane we would expect to burn in January. We just bought propane at $1.69/gal, so this would mean my January cost would be 42.6*$1.69=$72.52/month.
Let's say we heat with electric. Take the same BTU value and instead of dividing by the BTU/gallon of...


Math is the superpower for deep learning researchers.
One of the wonderful parts of modern deep learning is the fact that much of it
can be understood and used without a full understanding of the mathematics below it. This is a sign that the field is maturing. Just as most software developers no longer need to worry about the theory of computable functions, neither should deep learning practitioners need to worry about the theoretical foundations of maximum likelihood learning.
But, we are not quite there yet.
In practice, you will sometimes
need to understand how architectural choices influence gradient flow or the implicit assumptions you make by training with a certain loss function. You might need to know what in the world entropy measures, and how it can help you
understand exactly what bits-per-character means in your model. These all require deeper mathematical understanding.


Posted by Noor Salik
Different forms of mathematical thought
One makes the distinction in mathematics between:
(i) Continuous thinking (for example real numbers and limits), and
(ii) Discrete thinking (for example natural numbers and number theory).
Experience shows that continuous problems are often easier to treat than discrete ones.
The great successes of the continuous way of thinking are based on the notion of limits
and the theories connected with this notion (calculus, differential equations, integral
equations and the calculus of variations) with diverse applications in physics and other
In contrast, number theory is the prototype for the creation of effective mathematical
methods for treating discrete problems, arising in today’s world in computer science,
optimization of discrete systems and lattice models in theoretical physics for studying
elementary particles and strings.
The epochal discovery by Max Plank in 1900 that the energy of the harmonic oscillator
is not continuous but rather discrete (quantized), led to the important mathematical
problem of generating discrete structures from continuous ones by an appropriate,
non-trivial quantization process.
Oxford Users’ Guide to Mathematics


Grocery Store Dramatic Play for Preschool, Prek, and Kindergarten
Grocery Store Dramatic Play for Preschool, Prek, and Kindergarten is part of Dramatic play preschool – Grocery Store dramatic play! How to set it up & add literacy and math opportunities to the grocery store in your preschool, prek, & kindergarten classroom
We hope this pictures will give you some good ideas for your project, You can see another items of this gallery. Food Pyramid Fun!, Happy, Healthy Me Math and Literacy Activities Preschool Play.


Spartan Talk webinar: STEM (Science, Technology, Engineering, Math)
C. A. Smith Arts Centre at STS
We are excited to offer virtual ‘Spartan Talk’ webinars for Grade 10 students throughout the 2020-2021 school year.
Our first webinar will take place, Friday, December 4th from 2:30 – 3:30 p.m. and will feature alumni professionals representing Science, Technology, Engineering, Math (STEM).
The goal of these webinars is to promote connections between our STS Alumni professionals and students, and provide advice to students regarding career choices and the potential of networking. This is a wonderful opportunity for STS students to gain insight and understanding of how to approach the variety of professions and careers that are available.
This session holds tremendous benefit and knowledge, so come with questions about what to expect in university and about the professional working world that follows.


Request PDF on ResearchGate | Measurement of Elastic Constants on Nanostructured Iron and Copper | Measurements of the elasticity modulus and Poisson’s ratio on nanostructured iron obtained by .
Poisson Ratio of Polymeric Materials When a material is stretched by a tensile force it usually undergoes a lateral contraction which is known as the Poisson effect 1 The ratio of the lateral contraction (or compression) and longitudinal extenion is called the Poisson's ratio ν = -ε lateral / ε longitudinal where the minus sign accounts for the negative strain
DEFINITION OF POISSON’S RATIO OF ELASTOMERS Vladimirs Gonca, Yurijs Shvabs Riga Technical University, Latvia [email protected], [email protected] Abstract Design with rubber (elastomer) – metal elements (futter – RME) is successfully used for the construction machine
Poisson's ratio is the ratio of the relative contraction strain (transverse, lateral or radial strain) normal to the applied load - to the relative extension strain (or axial strain) in the direction of the applied load; Poisson's Ratio can be expressed as μ = - ε t / ε l (1) where μ = Poisson's ratio
Poisson Distribution: A statistical distribution showing the frequency probability of specific events when the average probability of a single occurrence is known The Poisson distribution is a .
En México, se puede calcular según las NTC 2004 de mampostería, de la siguiente manera: Para mampostería de tabique de barro y otras piezas, excepto las de concreto: E m = 600 f m * para cargas de corta duración, E m = 350 f m * para cargas sostenidas f m * resistencia de diseño a compresión de la mampostería, referida al área bruta
overarching relationships recently discovered between Poisson’s ratio and relaxation in supercooled antecedents, and also between fracture and elasticity in the solid state In the 200th year since the publication of Poisson’s Traité de Mécanique2 (Box 1), this is a good time to take stock of the utility of Poisson’s ratio
Poisson Regression: Let me count the uses! Lisa Kaltenbach November 20, 2008 , rate ratio and most medical applications of Poisson dist arise , Poisson showed that when N is large and p is small the distribution of n is approximately a Poisson distribution Terminolgy
Apr 28, 2015· Abstract By analyzing phonon dispersion, we have evaluated the average Young’s modulus and Poisson’s ratio in graphite and in graphene grown on Ru(0001), Pt(111), Ir(111), Ni(111), and BC 3 /NbB 2 (0001) In both flat and corrugated graphene sheets and in graphite, we find a Poisson’s ratio of 019 and a Young’s modulus of 342 N/m
Incidence Rate Ratio Interpretation The following is the interpretation of the Poisson regression in terms of incidence rate ratios, which can be obtained by poisson, irr after running the Poisson model or by specifying the irr option when the full model is specified This part of ,
Poison's ratio is the ratio between lateral strains and longitudinal strains Poisson's ratio, mathematically can be given as: V= - (lateral strain)/(longitudnal strain) When compressive force acts on a specimen then with the increase in force, two types of strains that will crop in the specimen of concrete
O coeficiente de Poisson, ν, mede a deformação transversal (em relação à direção longitudinal de aplicação da carga) de um material homogêneo e isotrópicoA relação estabelecida é entre deformações ortogonais  = − = − em que: = Coeficiente de Poisson (adimensional), = Deformação na direção , que é a transversal, = Deformação na direção , que é a transversal.
Poisson’s ratio and modern materials G!N Greaves1,2*, A!L Greer1, R!S!Lakes3 and T Rouxel4 In comparing a material’s resistance to distort under mechanical load rather than to alter in volume, Poisson’s ratio o!ers the fundamental metric by which to compare the performance of any material when strained elastically
Mechanical Properties of Plastic Materials Material Formula Abrasive resistance - ASTM D1044 mg/1000 cycles Coefficient of friction Compression
In mathematics, Poisson's equation is a partial differential equation of elliptic type with broad utility in mechanical engineering and theoretical physicsIt arises, for instance, to describe the potential field caused by a given charge or mass density distribution; with the potential field known, one can then calculate gravitational or electrostatic field
Poisson's Ratio Metals Materials Chart Strength of Materials | Engineering Metals & Materials The following is a chart of Poisson's Ratio for common engineering materials and metals Poisson's Ratio Equation & Definition
o las fundiciones de hierro, hacen que estas alea- , Poisson ratio, the proof stress, tensile strength and the Charpy impact properties at –20 °C, 24 °C and 100 °C
rateratiotest An Exact Rate Ratio Test Assuming Poisson Counts Description Performs the uniformy most powerful unbiased test on the ratio of rates of two Poisson counts with given time (eg, perons-years) at risk for each count Usage rateratiotest(x, n, RR = 1.
Chapter 4 Mechanical Properties of Wood David W Green, Jerrold E Winandy, and David E Kretschmann , are needed to de-scribe the elastic behavior of wood: three moduli of elasticity E, three moduli of rigidity G, and six , deformation For example, µLR is the Poisson’s ratio for deformation along the radial axis caused by stress along the
Mar 18, 2005· hi , i am doing a structural analysis on a part made of HDPE i am assuming it to be a lineary elastic material then what can be the best values for youngs modulus, poissons ratio,
La distribución de Poisson se puede expresar de forma gráfica, ya que en realidad consiste en un diagrama de barras, similar a los obtenidos en la función de probabilidad, pero con forma asimétrica positiva como sucede con la distribución binomial Sin embargo al ir aumentando
Cuando necesito hacer algún tipo de trabajo, me ha pasado varias veces que se que he visto la información pero no me acuerdo donde; y son entre 15 minutos y media hora buscando DE NUEVO la misma información en internet El objetivo de este blog es personal y de tener un espacio donde anotar los datos que busco en repetidas ocasion
poisson translation english, French - English dictionary, meaning, see also 'poissons',poisson rouge',marchand de poisson',queue de poisson', example of ,
Poisson ratio is the ratio of transverse contraction (or expansion) strain to longitudinal extension strain in the direction of stretching force Tensile deformation is considered positive and compressive deformation is considered negative The definition of Poisson ratio contains a minus sign so that normal materials have a positive ratio
Abstract In this research, Poisson's ratio of plywood as obtained by a tension test was examined by varying the width of the specimen The tension tests were conducted on five-plywood of lauan (Shorea sp) with various widths, and Young's moduli and Poisson's ratios of the specimens were measuredFinite element calculations were independently conducted
Módulo de Poisson by Mauricio Bedoya Alejandro Moreno la principal formula mas usada experimentalmente es la siguiente μ=ϵ lateral/ϵ axial Donde ϵ es la deformación unitaria y µ es el coeficiente de Poisson, llamado así en honor de Siméon Denis Poisson el que propuso este
POISSON MODELS FOR COUNT DATA Then the probability distribution of the number of occurrences of the event in a xed time interval is Poisson with mean = t, where is the rate of occurrence of the event per unit of time and tis the length of the time interval A process satisfying the three assumptions listed above is called a Poisson process In the
42 Poisson's ratio is used for design of structures where all dimensional changes resulting from application of force need to be taken into account, and in the application of the generalized theory of elasticity to structural analysis
Tests for the Difference Between Two Poisson Rates Introduction The Poisson probability law gives the probability distribution of the number of events occurring in a specified interval of time or space The Poisson distribution is often used to fit count data, such as the number of defects on an
El coeficiente de Poisson (denotado mediante la letra griega ) es una constante elástica que proporciona una medida del estrechamiento de sección de un prisma de material elástico lineal e isótropo cuando se estira longitudinalmente y se adelgaza en las direcciones perpendiculares a la de estiramiento El nombre de dicho coeficiente se le dio en honor al físico francés Simeon Poisson
We have set up a team with hundreds of technical engineers to resolve a series of problems during project consultation, on-site surveys, sample analysis, program design, installation, commissioning and maintenance guidance.


I was taught math in high school using CPM and those experiences are why I chose teaching as a career. I remember being in college and being able to explain the "why" a concept works while other students were trying to memorize material. CPM built a pathway in my mind that I was able to access because I had a deeper understanding of the ideas and how they fit together. Now I am able to share the program with my students.
I now see the same results with my students. They don't just know the Pythagorean theorem, they know why it works and where it comes from. The discovery and applications of the ideas are things that stay with the students for future math classes. There is a connection that allows students to apply the new ideas over and over. CPM is not only teaching math; it is teaching problem solving skills for all parts of life.


The Braxton Craven student body is made up of 1 homerooms of 6th graders. Each student is assigned to a team of core teachers for Language Arts, Math, Science, and Social Studies. Students also have two elective classes each day, including PE/Health. Within the school day, students also participate in enrichment and remediation activities planned by their teachers to address individual learning needs. Spanish Immersion students from HES participate in Spanish during enrichment time.
Core subjects include Language Arts, Math, Science, and Social Studies courses, which are required by the state of North Carolina for all 6th Grade students. All BCS core teachers follow either the NC Standard Course of Study, or the NC Essential Standards for the subject area they teach.
To review the state standards for 6th grade in each of these subject areas, click on the subject name below which is a link to the NC standards document for that subject.
Braxton Craven classroom instruction follows the same core curriculum pacing as all other middle schools in the Randolph County School System.
The elective courses offered to BCS students include:
|Career Technical Education||Media Assistant|


What is out of? Using this tool you can find any percentage in three ways. Or may be: 78 out of 80 as a percentage?
If you are looking for a Discount Calculatorplease click here. You can easily find 78 is out of 80, in one step, by simply dividing 78 by 80, then multiplying the result by Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML.
While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information. Cool Conversion.Toronto flights from london
Percentage Discount Sales Tax. See the solutions to these problems below. How to work out percentages - Step by Step Here are the solutions to the questions stated above:. This question is equivalent to: "78 is what percent of 80? To find more examples, just choose one at the bottom of this page.
Sample Percent Calculations 25 percent of 70 5 percent of 1 percent of Percentage Calculator Please link to this page! Disclaimer While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information.Students need to know where they stand when it comes to successfully completing a course. That is one of the main reasons why it is so important to calculate grades.
Many times assignments have different weights and grading rubrics do not always provide a clear view of how well one is doing in the courses that they take.
In order to ensure that you are in good standing, you want to be able to see how well you are doing and have an idea of what types of scores you need to successfully pass the course.
Plus, many students need to retain a certain grade point average in order to remain in good standing for financial aid. Therefore, they may need to retain a higher average then just a passing grade.
Therefore, they want to know what types of grades they need on different assignments, so that they can concentrate more or study harder when they need to obtain a certain grade. Grade calculators help you remain in constant control of your education. They let you know when you should do an extra credit assignment, work harder to meet the minimum standards, and study harder for an upcoming exam.
If you are falling behind, it allows you a chance to get extra help to bring your grades up before it is too late. Mainpage Grade Calculator. Calculate Your Grades Want to calculate your current Grades? Use our simple Grade calculator and download your results in a pdf document. Class 1. Add Assessment Class 1 Grade 0. Remember that you can add and edit any number of assessments in each class. If you select any letter grade, it is automatically converted to a percentage and vice versa.
Add the Percentage Weight Then enter the percentage weight for each assessment. See the Result of Your Grade Calculation After you have completed all the fields, our calculator will immediately show your class grade. Now you can download the results as a pdf document or image. Why is it important to calculate grades?In mathematics, a percentage is a number or ratio that represents a fraction of Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values.
P is the percentage, V 1 is the first value that the percentage will modify, and V 2 is the result of the percentage operating on V 1. The calculator provided automatically converts the input percentage into a decimal to compute the solution. However, if solving for the percentage, the value returned will be the actual percentage, not its decimal representation. If solving manually, the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by in order to convert it to a percent.
This is essentially what the calculator above does, except that it accepts inputs in percent rather than decimal form. The percentage difference between two values is calculated by dividing the absolute value of the difference between two numbers by the average of those two numbers.
Multiplying the result by will yield the solution in percent, rather than decimal form. Refer to the equation below for clarification. Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. Mathematically, this involves using the absolute value of the difference between two values, and dividing the result by the initial value, essentially calculating how much the initial value has changed.Mercedes mbe 4000 egr delete kit
The percentage increase calculator above computes an increase or decrease of a specific percentage of the input number. It basically involves converting a percent into its decimal equivalent, and either subtracting decrease or adding increase the decimal equivalent from and to 1, respectively.
Multiplying the original number by this value will result in either an increase or decrease of the number by the given percent. Refer to the example below for clarification. Financial Fitness and Health Math Other.Our free online Percent Calculator calculates percentages such as ratios, fractions, statistics, and percentage increase or decrease. The calculations and formulas press the '? Learn the basics of percentages: How to Calculate Percentages.
Percent Decrease Calculator
Our percentage calculator is perfect for anyone that wants to save time in calculating many different percentages as well as for anyone that is not good at math! To even save you more time we made sure that the calculations are automatically calculated as you type in the input boxes.
This makes it super easy and fast to move to each input without needing to use your mouse or cursor. If you are inputting numbers in the percentage calculator that result in an answer being very small or very large, the answer may appear in the format of scientific notation to fit inside the answer box.
Scientific Notation is simply a number format that includes a multiplication of 10 to the power of either a negative number, for small numbers, or to the power of a positive number, for larger numbers.
This method reduces the amount of digits and especially zeros needed to write in representing a number. The formulas of each of the calculations used in our percentage calculator can be seen by clicking the question mark,?
A video tutorial on using our calculator as well as a walk through of the calculations and formulas is shown here: Percentage Calculator Tutorial. Follow us!Tenis online
Share Calculations. Save Time with your Keyboard Our percentage calculator is perfect for anyone that wants to save time in calculating many different percentages as well as for anyone that is not good at math! Scientific Notation If you are inputting numbers in the percentage calculator that result in an answer being very small or very large, the answer may appear in the format of scientific notation to fit inside the answer box. Some examples of scientific notation are shown below: Example 1: Scientific Notation for Small Numbers 0.
Subscribe for Website Updates!Percentage Math Trick 2 - Solve percentages mentally - percentages made easy!
Tools Speed Reader Timer. Partners Chin Chat Comics.Use this percent decrease calculator to easily calculate the result from a percentage decrease by any amount. Percent decrease calculations are needed when comparing time periods, estimating percent decline yearly, monthly, daily etc. The formula for calculating percent decrease used in our percentage decrease calculator is:.
Let us see some examples to see how that works. In other cases, you know the starting, or original quantity, measure, or price, and you want to estimate what it would be if it were decreased by a given percentage. Then the formula is:.
Let us see some examples to see how it works. In this example use case of our percent decrease calculator, you run a company and you tried to limit your expenses in order to stay cash positive.
What percent decrease have you achieved? Say you are trying to lose weight in order to get to your healthy weight rangeand your average weight for a few weeks was pounds.Precio de blem 3 en 1
However, today the scale shows that you weigh only pounds and you want to know what percentage increase it represents. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G. Calculators Converters Randomizers Articles Search.
Percent Decrease Calculator Use this percent decrease calculator to easily calculate the result from a percentage decrease by any amount. Percentage decrease. Original value. Decrease by. New value. Share calculator:. Embed this tool!Petruzzi mouscron rue du christ
How to calculate percent decrease? Example: decrease in expenses In this example use case of our percent decrease calculator, you run a company and you tried to limit your expenses in order to stay cash positive.Thank you. Disclaimer: Whilst every effort has been made in building this calculator, we are not to be held liable for any damages or monetary losses arising out of or in connection with the use of it.
This tool is here purely as a service to you, please use it at your own risk. Full disclaimer. Do not use calculations for anything where loss of life, money, property, etc could result from inaccurate calculations.
In order to explain this calculation to you as easily as possible, we'll replace the X and Y with a couple of figures. Once again, we'll replace the X and Y with a couple of figures to explain this. Let's say the question is: 15 is what percent of ?
Continuing the theme, let's replace the X and Y with a couple of figures.
Test Grade Percentage Calculator
Let's say the question is: What is the percentage increase from 40 to 68? We can use the percentage change calculator. Or we can work the calculation out manually. Let's replace the X and Y with a couple of figures. It's worth noting that we have an article dedicated to how to calculate percentages here. If you have any problems using the percentage calculator tool, please contact me.
X is what percent of Y? Use these percentage calculator tools to work out increases, decreases or percentage differences. Common uses include calculating tax, statistics, savings increases, or tips on a restaurant bill.What percentage of is? What is the percent change from to?
In the calculator window, choose the question you need answered and enter the 2 quantities that you already know. The calculated result will automatically display on the right of the question you chose, along with the answers to all the other questions. The percentage increase calculator calculates the chosen percentage from the initial quantity and adds it to the initial quantity to calculate the quantity after the increase. Similarly, the percentage decrease calculator subtracts the chosen percentage of the initial quantity from the initial quantity.
Finally, the percent change calculator takes as input an initial quantity and a final quantity and calculates the difference as a percentage. Calculators Conversions. Percentage Calculator Calculate percent rates with this simple percentage calculator. What percentage of is ? To calculate percentage change, use one of the three calculators at the bottom. You may also be interested in: More math calculators Bitcoin mining calculator How to calculate percentages Percentage to fraction calculator.
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The laws of nature are expressed as differential equations scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and. This section shows how to find general and particular solutions of simple differential equations. Loading sos math on cd sale only $1995 works for pcs, macs and linux books we like. Read the latest articles of journal of differential equations at sciencedirectcom, elsevier’s leading platform of peer-reviewed scholarly literature.
A differential equation is a mathematical equation that relates some function with its derivatives in applications, the functions usually represent physical. Learn differential equations for free—differential equations, separable equations, exact equations, integrating factors, and homogeneous equations, and more. Differential equations with differential equation many of the problems are difficult to make up on the spur of the moment and so in this class my class.
How to solve differential equations a differential equation is an equation that relates a function with one or more of its derivatives in most applications, the functions represent.
Differential equations are the language in which the laws of nature are expressed understanding properties of solutions of differential equations is fundamental to much of contemporary.
In mathematics, an ordinary differential equation (ode) is a differential equation containing one or more functions of one independent variable and its derivatives. Is a differential equation where the goal is to find a function x(t) which, when you plug the function and its derivatives into the differential equation, the equation holds for any time t.


One of the most addictive and challenging cashier games for girls! A shopping mall just for the princesses! Shopping has never been so fun! Go to the girls store, pick up the items and pay at the cash register.
Shop the latest Princess fashioned clothes, fashion Jewellery, Hats, Goggles, Shoes, Princess Crowns and more! Pink Princess Grocery Market Shopping experience with real type cash registers.
Learn how to operate the cash register games with receipt and scanner. Managing the Cash Register Has Never Been So Fun for you girls! Enter the price of each shopped item and count the total of all items. Receive money from the customer. Cash drawer will open and you put the received money and return the remaining balance to the customer. Drag n Drop the money notes in the cash drawer so that they add up to the correct total.
Real or play cash registers are helpful tools for teaching skills such as sorting, counting, adding and subtracting.
Learn how to handle money as a princess cashier. Play as a real cashier in your very own girls store with a realistic cash register, practice addition and subtraction as well as money handling skills. Enjoy!


Pre Calculus Tutors in Muskego, WI
Find Private & Affordable Pre-Calculus Tutoring in the Muskego Area!
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I have a Bachelors of Science in Economics with a minor in Math: focus in Statistics
Will be a senior in the fall at New Berlin Eisenhower High School.


Ayelet is a post-doctoral research fellow in the Computational Radiology Laboratory at Childrens Hospital Boston. She received her PhD in applied mathematics and computer science from Weizmann Institute of Science, Israel, in May 2007 and holds a BSc in physics and computer science and an MSc in computer science from Tel-Aviv University, Israel. During her PhD she developed a multiscale segmentation and classification methodology with focus on MRI of the brain. The algorithms developed were applied to segmentation of Multiple Sclerosis lesions and identification of anatomical structures.
Before joining the CRL she worked as a medical imaging expert at Aposense. Collaborating with Uppsala Imanet, GE-healthcare she developed computational algorithms aimed at optimizing the utility of a novel radiotracer for PET imaging of apoptosis in various clinical applications.
Ayelet currently works on development of registration and segmentation algorithms for petascale analysis of neural circuits with application to electron microscopy data.


The set of all of the entities in the present context is known as the universal set, or simply the universe. Be aware that the logical significance of this conditional statement isn’t the exact same as www.papernow.org its intuitive meaning. An evaluation of the work requirement is given to the right side of each statement.
Some analyses utilize continuous and discrete quantitative data at the exact time. Remarkably, algorithms created for convex optimization have a tendency to find reasonably excellent solutions on deep networks anyway, despite the fact that those solutions aren’t guaranteed to be a worldwide minimum. Discrete data expects a specific number of isolated values.
With the assistance of a calculator there are two ways you are able to go about solving for x. Some functions have a continuous domain but just on a part of the x-axis. For some applications, however, the evolution in discrete time might not qualify as the ideal description of the phenomena.
For instance, a Dice roll is quite a concrete case of an event with a discrete set of possibilities. Lesson Summary When playing games, we can occasionally https://cios233.community.uaf.edu/design-theory-lectures/layout_lecture/ be requested to draw on various sorts of knowledge. A complete training pass over the whole data set such that every example was seen once.
The 2nd algebraic method is dependent upon the notion of arithmetic subgroups. Several of the topics are covered from several perspectives and with different verbiage, lots of the theorems are supplied with various proofs. There are various kinds of graphs in discrete mathematics.
As an example, in a housing data set, the features might incorporate the variety of bedrooms, the quantity of bathrooms, and the age of the home, while the label may be the house’s price. So there’s no chance of different elements to come in the function being defined. In fact, lots of discrete variables may also be represented within this manner as soon as the sample space is so large that it appears like a continuous variable.
By using clearly defined discrete trials, it is simpler to identify what may not be working. Whether there are any problems with the download procedure, speak to the representatives of our customer support, and they’re going to answer all your questions. If you wish to be creative earlier, you may make new operations for yourself, but you need to at all times realize that’s what you’re doing, and you must be sure it works, and be in a position to demonstrate why.
You may construct your very own pre-made Estimators by obeying these instructions. Model Validation people attempt to get this done correctly, but so far as I can tell, their methods aren’t altogether satisfactory. Continuous data is data or something that could be measured.
The context could possibly be a homework exercise, as an example, where the Universal set is limited to the particular entities under its consideration. Whenever it is crucial to draw a strict distinction, these terms are used. In many instances, statistical variables do not include numerical values but rather something descriptive, like the color of fins of a fish or the type of species in a specific buy research paper natural habitat.
For instance, a Dice roll is quite a concrete case of an event with a discrete set of possibilities. Determine the net quantity of money which will actually receive. The period of time it requires to sell the cupcakes is an illustration of continuous data.
Some analyses utilize continuous and discrete quantitative data at the exact time. Discrete data is a data or something which can be counted. Discrete data expects a specific number of isolated values.
The Awful Side of Discrete Math Definition
In any event, be fluent in both models and learn how to hop between both. Second, the DTT method of one-to-one teaching allows for the programme to be totally individualised for the requirements of each kid. With our previous solution, we haven’t any idea of history.
You will only get a concise introduction to logic inside this class, but the mathematics utilized in logic are observed at the core of computer programming and in designing electrical circuits. Second, the DTT method of one-to-one teaching allows for the programme to be totally individualised for the requirements of each kid. With our previous solution, we haven’t any idea of history.
In this instance, it’s very hard to describe happiness, which is an incredibly subjective and qualitative attribute. To put it differently, it is dependent upon the before mentioned quantities in the proof. Frequently, selecting a useful special case of an overall proposition is the essential step in an argument.
Then in early algebra, they’re just employing the exact same operations with the assistance of a couple more operators and rules, which likewise have specific definitions, and there’s still only 1 approach to fix each exercise. This happens to a lot of individuals that are quite very good at solving trig, derivative and integral troubles. In the event the problem persists, please contact the site’s administrator.
The reals aren’t countable. A lot of these are more properly called measures of association, although they are normally termed coefficients also. To prevent ambiguity, this form of graph might be described precisely as undirected and easy.
These trees are a part of Discrete Math. Then, once we wish to transition to some other state, we push that new state on the Stack and this state becomes the present state. So that the probability he chooses this sandwich is It is just one of 30 possible sandwiches.


Selection of Priors in Bayesian Structural Equation Modelling
Structural equation modeling (SEM) is an important framework within the social sciences that encompasses a wide variety of statistical models. Traditionally, estimation of SEMs has relied on maximum likelihood. Unfortunately, there also exist a variety of situations in which maximum likelihood performs subpar. This led researchers to turn to alternative estimation methods, in particular, Bayesian estimation of SEMs or BSEM. However, it is currently unclear how to specify the prior distribution in order to attain the advantages of Bayesian approaches.
On the webinar, selected statisticians will present their recent works on the topic.
When & Where:
- Wednesday, April 20th, 7:00 PT / 10:00 ET / 16:00 Berlin/Amsterdam
- Online, via Zoom. The registration form is available here.
- Milica Miočević, McGill University, Canada
- Sonja D. Winter, University of Missouri, USA
- Mauricio Garnier-Villarreal, Vrije Universiteit Amsterdam, The Netherlands
- Sara van Erp, Utrecht University, The Netherlands
The webinar is part of YoungStatS project of the Young Statisticians Europe initiative (FENStatS) supported by the Bernoulli Society for Mathematical Statistics and Probability and the Institute of Mathematical Statistics (IMS).
If you missed this webinar, you can watch the recording on our YouTube channel.


Math Pentathlon | Grades K-3rd @ FC
2019 Summer - Academics
Math Pentathlon: Grades K-3rd
Do you love playing board games and thinking mathematically? This is the spot for you! Math Pentathlon is a program of interactive problem-solving games. Each division focuses on 5 unique games that strengthen basic math concepts and utilize problem solving strategies. All games align with National and State Mathematics Standards and stimulate creative thinking while developing spatial, computational, and logical reasoning. Division I is for students in grades K and 1; Divison II is for students in grades 2 & 3. Come see what Math Pentathlon is all about! (this class is offered again in the Fall and Spring following by participation in the National Math Pentathlon tournament).
|Grades K - 3rd||M - TH||July 8 - 11||9:00a - 10:00a||FC E102||$60|
Instructor: Shannon Hall & Cathy Daugherty | firstname.lastname@example.org & email@example.com


I think I'm going to try to update this blog, and the other one, every day this month. My craft show is on November the 30th. I'm trying to get at least 10 dishcloth sets ready for then. Also, I want to finish Rachel's blanket by the first week of December.
My updates might be as simple as posting how many cloths I finished that day, or how many rows on the blankets, but I need some sort of motivation.
It's also NaNoWriMo (google it), which I am not taking part it formally, but it would be cool if all my blog posts this month added up to 50 000 words. Or if I could knit 50 000 stitches in a month.
Fifty thousand stitches in a month is doable. Each row on the blanket is 200 stitches, if I remember correctly. That comes out to 250 rows. I'm SURE I've done close to that on this blanket....
I'm currently trying to calculate the number of stitches in a dishcloth, but my math is broken. I KNOW there is a way to calculate 1+2+3+4...+45 without punching it all into the calculator. I don't even think that would be precise, but it would be pretty darn close.
Does anyone know of the formula I need?
Either way, 50 000 stitches in a month works out to 1,667 stitches a day, which is 8.3 rows of the blanket A DAY! When I knit for a while, I easily do 15 rows a day, usually more.
I think NaKnitMo is ON!
Anyone else with me? I'm starting a couple days late, but hey, I'm a procrastinator!
Added later: I updated the other blog, and I have a challenge for myself! I need all the encouraging words you followers can muster!
I WILL UPDATE TOMORROW WITH MY OFFICIAL RULES FOR MY CHALLENGE!


At Queens Park Academy we love maths and see it as an essential life skill. We are committed to ensuring that children have a positive and meaningful experience of mathematics throughout the school. We offer a curriculum that ensures essential knowledge and skills are gained whilst giving the children many opportunities to use and apply their mathematics through real life problem solving and mathematical investigations.
In Maths, we follow the programme of study for the National Curriculum. Please click here to see the National curriculum Programmes of study 2014.
Learning and teaching is based around 7 key areas:
- Using and applying mathematical skills
- Counting and understanding numbers
- Knowing and using number facts
- Understanding shape and space
- Handling data
Times Table Challange
Each week the children are invited to achieve awards linked to the times tables. Children give up 5 minutes of their lunchtime to attempt to answer times table questions. Children can earn Bronze, Silver and Gold pin badges for learning the times tables up to 12x12.
Due to the success of the Times Table Challenge many of our gold award winners have requested a next step. from Summer 2016 the Platinum award will challenge our most able learners. Look below for an example of the problems give the children.
Annual Maths Day at Queens Park
During our Maths day every child in the school took part in some Maths learning focused on the famous book 'One is a Snail, Ten is a Crab'. To see this book click here.
The children used a variety of Maths skills from sequencing to percentages.
Maths learning at home
The school subscribes to a number of online resources that support the Maths learning in school. Your child should have the logins in their reading diaries to Education City, RM easimaths and Espresso. Please encourage your children to use them as much as possible.


There are 7,500 varieties of apples grown throughout the world, and if you tried a new variety each day, it would take you 20 years to try them all.
I had just finished visiting a friend in the hospital and stopped by a burger drive-through for lunch to eat on the way back to work. I ordered the #1 combo for $4.29. She said "that'll be $4.83, please drive forward."
"$4.83? For a $4.29 meal? That's 54 cents tax!? That can't be right," my mind raced. Tax is 8 cents on the dollar in Huntsville, Alabama and for 4 dollars that would be 32 cents plus 1/3 of 8 cents would be 35 cents max.
I'd heard of window workers overcharging drive through customers and skimming the money for themselves. Someone did just that to me at a Hardees couple of years ago.
I didn't have my calculator watch so I got a pen and paper and did the long division since there were 2 cars ahead of me. Let's see ... 483/429 ... over 12 percent tax!? When I got to the window I handed her a 5 and said "what's the sales tax in Huntsville?" She didn't know. I said "$4.83 for a $4.29 meal is 12 percent tax. That can't be right. Can I talk to the manager?" She gave me my change and called the manager.
So the manager comes over. I ask what the sales tax is in Huntsville, and she says 8 percent. I say that I just paid $4.83 for a $4.29 meal and that's over 12 percent sales tax.
She got a funny look on her face and said that maybe the computer had rung it up wrong or had charged me for the biggie size . She admitted it was supposed to be 4.63, and opened the drawer to give me my extra change.
"HA!" I thought to myself. "Six years engineering school has so heightened my mental mathematical adeptness that I can do percentages in my head and my superior intellect has foiled a feeble attempt by a drive-through worker to overcharge me!"
So what did this mathematical wizard do next? I took the twenty cents she handed me, proud of my staggering genius, and smugly drove off without my food.


CALL FOR PAPERS:
The purpose of the workshop is to provide a forum for researchers and teachers to share their experiences of teaching mathematics and discuss approaches for delivering material to students.
Suggested areas to be included in the workshop include, but should not be limited to:
- E-learning: experiences, best practices and tools.
- Mathematics and programming teaching: experiences and best practices.
- Teaching mathematics and programming knowledge and skills.
- Mathematics and programming education in the school and university cirricula.
- Methodologies of teaching mathematics.
- Software support for math education.
- Evaluating effectiveness of educational methods for teaching mathematics.


“Hi. My name is Charlotte.I believe that Maths gets a bad rap for no reason and that every person has the capability to conquer Maths, reach their goals in Maths and develop the skills needed for the rest of their life. There is no reason for it to...”
“I am an experienced and dedicated education professional with a passion for functional literacy and enabling all learners to achieve their potential. A qualified teacher since 2003, I have taught in various educational establishments and worked wi...”
“My name is Jonathon Vine. I've been a Primary school teacher in the UK and abroad for over 8 years. I have a passion for maths and have undertaken extra study to support schools in developing mathematics. I have experience of working with...”
BA (Hons) -- Primary Education 5-11 (with QTS)
“I'm in my third year at University of Cambridge and I have been teaching students in Years 7 to 13 for three years (including preparation for Oxbridge admissions and the Chemistry Olympiad). As an A-Level Mathematics volunteer tutor at Abbey C...”
BSc, University of Cambridge -- Natural Sciences
Physics, Chemistry, Maths.
“I am an experienced Cambridge academic with a strong history in tutoring young people to exceed their goals prior to university.
Typically, I work with students to better understand the content and structure of their GCSE and A-Level cou...”
BA (Cantab) -- Law
English, Law, History, Economics.


Welcome to the Math Salamanders Third Grade Math Video games. Working towards math would not have to be boring—play this ski racer multiplication game to get some fun apply multiplying by 11. Right here you will Maths Game For Kids discover a wide range of free printable Math Video games to help your little one study their Math details at third grade degree.
Simplifying No-Hassle Methods In Fun Math Games For Kids
Reorder Numbers – Shuffleboard puzzle sport where gamers place numbers in sequential numerical order on a 3×3, 4×4, or 5×5 grid. Many academics of k12 faculty and oldsters use our academic app as a reward for properly-completed Math Games For Kids tasks for their students or children. If they have correctly completed obligatory work at school then they’re allowed to play our App.
Easy Products Of Fun Math Games For Kids – An Update
Use numbers that add to the correct whole while having fun with this fun addition recreation for kids. Learning skills: utilizing the rolls on the cube to make goal Maths Game For Kids numbers from zero to 25; picking ‘troublesome’ numbers to your opponent to shoot out. Studying expertise: fraction of shapes, equivalence to a half, thirds, quarters and sixths and eighths.
Grade 1: At this stage, youngsters are taught to signify and clear up addition and subtraction phrase issues within 20. They perceive the connection Maths Game For Kids between addition and subtraction. Additionally they work with addition and subtraction equation to seek out the missing complete number within the equation.
Watch these nice math videos for youths and have fun studying online with instructional clips that can teach you the order of operations, the best way to add and subtract fractions and many https://kids-math-games.com/subtraction-games/ extra handy math suggestions. Using these math games under will help your baby to develop their Math reality abilities as well as their strategic thinking and reminiscence expertise.
If you happen to like puzzles then you definately’ll love these fun puzzle video games Discover the solutions to difficult quantity issues, match colors, shift blocks, full Maths Game For Kids jigsaws and enjoy a variety of online challenges. The Operator – fast sport the place students must quickly remedy math problems.
You possibly can print off an infinite variety of worksheets and generate an unlimited variety of questions related to every ability. Merely select the appropriate grade on your college students, choose the ability you need Fun Math Games them to follow, and you’ll be presented with a free PDF worksheet. If you wish to generate another worksheet with totally different questions, just refresh the web page, new questions are created every time – so you’ll never run out of worksheets or maths questions ever once more.
Grade three: On this grade, the youngsters are expected to signify and clear up problems involving multiplication and division within 100. They learn the properties of multiplication and relationship between multiplication and division. By the Fun Math Games For Kids tip of grade 3, the youngsters are capable of remedy problems involving the four operations and establish and clarify patterns in arithmetic operations.


- What is 40 minutes as a decimal?
- What is 6.75 hours in hours and minutes?
- Is 90 minutes an hour and a half?
- What does .4 mean in hours?
- How do you divide time?
- How many hours in a month and a half?
- What is .9 of an hour?
- How do you convert minutes into payroll?
- Who many seconds are in a year?
- Is 80 minutes an hour and 20 minutes?
- What percentage is 20 minutes of an hour?
- What is .50 of an hour?
- How many hours are in 2 hours?
- What per cent of a day is 27 minutes?
- How much is 0.08 of an hour?
- What is .01 of an hour?
- What fraction of an hour is 3 minutes?
- How do you convert time?
- What is .25 of an hour?
- How much is a 100 minutes?
- What is .02 of an hour?
What is 40 minutes as a decimal?
Minutes to Decimal Hours CalculatorMinutesDecimal Hours370.617380.633390.650400.66756 more rows.
What is 6.75 hours in hours and minutes?
Six point seven five hours is equal to six hours and forty-five minutes.
Is 90 minutes an hour and a half?
Tl;Dr 90 minutes is an hour and a half. … 60 minutes is an hour. Half an hour is half of 60 minutes. And if you can’t do this.
What does .4 mean in hours?
1 answer. Answered 19 July 2018 – Member of I.C.T. department (Former Employee) – Morwell VIC. Provided LCHS “rounds up”, this means 40% of the equivalent full time position.
How do you divide time?
The process of multiplying or dividing elements of time uses a multi-base system of 60, 60, 24 and 7 to move from seconds through weeks. For example, it takes an accumulation of 60 seconds to make 1 minute but only 7 days to make 1 week. Select Multiply or Divide to multiply or divide components.
How many hours in a month and a half?
MonthNumber of DaysNumber of HoursFebruary29696March31744April30720May3174411 more rows
What is .9 of an hour?
Billing Increment Chart—Minutes to Tenths of an HourMinutesTime37-42.743-48.849-54.955-601.06 more rows
How do you convert minutes into payroll?
To calculate minutes for payroll, you must convert minutes worked to decimal form. Do this by dividing the minutes by 60. Then, multiply your answer by the employee’s hourly rate to get the amount you need to pay for those minutes. Next, multiply the hours worked by the pay rate.
Who many seconds are in a year?
31,536,000 secondsone year would equal 365 times 24 times 60 times 60 seconds…or 31,536,000 seconds!
Is 80 minutes an hour and 20 minutes?
80 minutes is equal to 1.33 hours.
What percentage is 20 minutes of an hour?
More InformationMinutesFraction of an hour190.317200.333210.350220.36757 more rows•Oct 20, 2020
What is .50 of an hour?
Converting Hours For example, 50 percent of an hour equals 30 minutes, because 0.50 * 60 equals 30.
How many hours are in 2 hours?
Hours to Minutes Conversion TableHoursMinutes1 Hour60 Minutes2 Hours120 Minutes3 Hours180 Minutes4 Hours240 Minutes20 more rows
What per cent of a day is 27 minutes?
1 day = (24 × 60) minutes. 1 day = 1440 minute. Hence, the required percentage is 0.069%.
How much is 0.08 of an hour?
This conversion of 0.08 hours to minutes has been calculated by multiplying 0.08 hours by 60 and the result is 4.8 minutes.
What is .01 of an hour?
This conversion of 0.01 hours to minutes has been calculated by multiplying 0.01 hours by 60 and the result is 0.6 minutes.
What fraction of an hour is 3 minutes?
More InformationMinutesFraction of an hour20.03330.05040.06750.08357 more rows•Oct 20, 2020
How do you convert time?
How to Convert Time to Decimal2 hours is 2 hours * (1 hour/ 1 hour) = 2 hours.45 minutes is 45 minutes * (1 hour / 60 minutes) = 45/60 hours = 0.75 hours.45 seconds is 45 seconds * (1 hour / 3600 seconds) = 45/3600 hours = 0.0125 hours.Adding them all together we have 2 hours + 0.75 hours + 0.0125 hours = 2.7625 hours.
What is .25 of an hour?
Conversion Chart – Minutes to Hundredths of an Hour Enter time in Oracle Self Service as hundredths of an hour. For example 15 minutes (¼ hour) equals . 25, 30 minutes (½ hour) equals . 5, etc.
How much is a 100 minutes?
100 minutes is equal to 1.67 hours.
What is .02 of an hour?
Option 2: Use our minutes conversion chartMinutesDecimal HoursDecimal Hours1.02.682.03.703.05.724.07.7316 more rows


NAMU Head: Professor C.-H. Lai
For further details about our work and possible services:
Tel: +44 - 20 8331 8712
Fax: +44 - 20 8331 8665
2014 April VC's scholarship - Mathematical modelling of cardiac myocytes and myocardium (Ref VCS-ACH-15-14)
2013/14 University RAE Competitive Scheme (Ref RAE-CMS-05/13) Modelling mechanosensation of cardiac myocytes
2013 London Mathematical Society Scheme 1 Grant (LMS 11222) LMS Minisymposium on Advanced Decomposition Methods for Partial Differential Equations
2012/13 HEIF Proof-of-concept fund (Ref HEIF-PoC-CMS-04/12) - Removing heat haze from degraded images using an inverse problem approach
2012 Dec VC's scholarship - Computational Biology (Ref EC-11-49.2)
2012 FP7-People-2012-Multi-ITN STRIKE (Ref 304617) Novel Methods in Computational Finance; STRIKE - the team at Greenwich
2012 FP7-People-2012-ITN AeroTraNet (Ref 317142) Aeronautical Training Network in Aerodynamic Noise from Widebody Civil Aircraft
2012/13 University RAE Competitive Scheme (Ref RAE-CMS-01/12) A mathematical model of polyunsaturated fatty acids kinetics and its relation to their digestion and metabolism in humans
2012 London Mathematical Society Scheme 8 Grant (LMS 81106) Essex-Greenwich-Hertfordshire Workshop on Applied and Numerical Mathematics Multiscale Problems
2007 TSB OPTWELD Project (TP/8/ADM/6/I/Q2068B) Real-time virtual prototyping tools for OPTimising WELDed products
Dr E. George - Senior Lecturer
Professor C.-H. Lai - Professor of Numerical Mathematics
Professor A.K. Parrott - Professor of Computation
Dr N.I. Ramesh - Senior Lecturer
Dr K. Skindilias - Senior Lecturer in Financial Mathematics
Miss S. Arife - Researcher
Mr F.J. Granados-Ortiz - Marie Curie Research Fellow (AeroTraNet2)
Mr Y. Hai - Researcher
Mr S.-H. Tan - Marie Curie Research Fellow (STRIKE)
Mr N. Kokulan - Researcher
Ms N.-L. Bradshaw - Senior Lecturer
Dr Y. Fryer - Senior Lecturer
Dr X.-Y. Liu, iCare Vision Tech Co Ltd, China. Visiting Research Fellow
Mr A. Mann - Director of Greenwich Mathematics Centre
Dr N. Tian - Visiting Research Fellow
Dr C. Walshaw - Reader in Scientific Computing, Department of Computing and Information Science
Professor M. Wang - Visiting Professor at University of Greenwich
Dr G.S. Djambazov, University of Greenwich.
Dr C.J. Palansuriya, University of Edinburgh.
Dr Z.-K. Wang
Dr S. Rout
Dr N.K. Frost
Dr S.L. Lai, Arden Asset Management, London.
Miss S.-M. Guo, Xiamen University, China.
Dr A. Siahaan, University of Southampton.
Overview of research activities and software products:
(i) Computational finance: Nonlinear models and numerical solutions
(ii) Computational biology: Absorption and metabolism models, nutrients and drug absorption; Mathematical modelling of cardiac myocytes
(iii) Inverse problems: parameter and function estimation, uncertainty quantification, optimisation techniques, stochastic optimisation
(iv) Image processing: Efficient lossless image compression; image restoration; enhancing CCTV images; image denoise; image segmentation; image dehaze.
(v) Computational acoustics: Aeroacoustics, Indoor acoustics and noise management, Indoor and outdoor heat management and air flow management, high order methods.
(vi) Smart textile materials and garment
(vii) Coupling and/or enhancing capabilities of black-box numerical software packages
(viii)History of mathematics
Provides expertise in solutions to science and engineering problems, research and development work, delivers fine products tailoring to specific requirements, participates in seeking and exploiting state-of-the-art technology.
(i) Publication Involvement
(ii) Emergency Services
(iii) Technical Services


I bought the complete set of Maths Quest books from The Book People a while ago. At the time, they were a bit hard for A, and she did do some of them with supervision from Mr M, but preferred the Usborne Puzzle adventures which she could do herself.
However, she has now clearly grown into them, since she sat for 90 minutes solving the clues in The Museum of Mysteries. C sat alongside her - it was his job to remember which page they had to turn to next. It's a bit like a Choose Your Own Adventure puzzle book - you have to solve the maths puzzle to work out which page to go turn to. It's the most maths I have ever seen A voluntarily do, and therefore has already repaid the money I spent on it (which probs wasn't very much anyway, given it was from The Book People).
A great buy for your little mathematicians (reluctant or otherwise!) Some puzzles are harder than others, and A required some help with some of them (and she is quite good at maths, thanks to my strong mathematical genes obv), but the concept is extremely good, and it was enough to amuse both kids for an extended period of time in that late afternoon grumpy phase that children have. Well, I say children, but to be quite honest, I am not immune to a touch of the 5pm grumpies myself.


Date: April 12, 2017 Contest Location: Triway Education
Enter: Open to public (Grade 3 and Grade 7) (Registration Fee applied)
The Mathematics Contest is one of top mathematics competitions in North America.
Students scoring over the national average will receive certificates of distinction. Students who rank in the first, second, and third places in Canada and Province will receive a medal that will have the student's name inscribed on the back. Student in the Pythagoras, Euler and Lagrange contests who gets a perfect score will receive a US$250 merit scholarship to attend the international MathPath camp.
Triway Game Design Contest
Date: April 23, 2017 Contest Location: Triway Education
Enter: Triway Education Students (free to enter, all grades welcome, no software limited)


Geometric Bubble Blowers
The week before spring break was beautiful here! We rarely get this warm of weather in late March, early April, but it was amazing. I knew I had to find a way to get the kids (and myself) closer to the sunshine! With third grade students, we took STEAM lab outside. Students gathered up Snap Circuits, K'Nex, and Zome Tools. Before class, I made bubble solution so they could build bubble blowers with the Zome Tools. Students thought they were pretty cool! Check out the results! This is a great way to experiment with 3D shapes and designs. We were a bit limited to the designs because of the small size tub of bubble solution I used. Next time, I'll make sure to get a bigger container so they can dip more elaborate Zome Tool designs into the solution.


For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.


Investigation of the influence of flange thickness on the nature of the development of zones of plasticity in casing detail
Keywords:finite element method, semi-analytical finite element method, stress-strain state, elastic and elastic-plastic deformation, curvilinear prismatic bodies, flange, plasticity zones, the casing detail
In papers [11, 15 18] the solution relations and the algorithm of the method of block iterations of solving linear and nonlinear equations by the semivanalytic finite element method for curvilinear inhomogeneous prismatic bodies are realized. In paper , a numerical study of the convergence of solutions was performed, and a wide range of test problems for bodies with smoothly and abruptly changing physical and geometric characteristics in elastic and resilient-plastic formulation was considered. In paper , to confirm the reliability of the results obtained on the basis of the semi-analytical finite element method, the effectiveness of this approach for the calculation of curvilinear inhomogeneous prismatic objects is shown. Solving control problems of the theory of elasticity, thermoelasticity and thermoplasticity, as well as problems of shape change makes it possible to draw conclusions about the reliability of the results of the study of a selected class of objects based on the developed methodology and implements its application package.
In this work, using the method described in the above works, a numerical analysis of the stress-strain state of a spatial object was performed, namely the study of the influence of flange thickness on the nature of the development of plasticity zones in the casing detail. It should be noted that the use of a thickened flange allowed to localize the zone of plasticity and its length in this case does not exceed half the length of the bell. In this case, the additional cost of material for the manufacture of thickened flange is fully justified. This reduces the level of plastic deformations and stresses in the hazardous area and prolongs the life of the casing detail.
Bazhenov V.A. Convergence of the finite element method and the semi-analytical finite element method for prismatic bodies with variable physical and geometric parameters / V.A. Bazhenov, M.V. Horbach, I.Yu. Martyniuk, О.V. Maksymiuk // Strength of Materials and Theory of Structures: Scientific-&-Technical collected articles– 2021. – No. 106. – PP. 92-104.
Bazhenov V., Pyskunov S., Solodei І. Continuum mechanics:Semi-analytical finite element method. - Cambridge Scientific Publisher, 2019. - 236 р.
Bazhenov V.A., Pyskunov S.O., Shkril O.O. Napivanalitychnyi metod skinchenykh elementiv u zadachakh ruinuvannia til z trishchynamy (Semi-analytical finite element method in problems of bodies with crack). – Kyiv, 2017. – 206 p.
Chen M.J., Them L.G., Cheung Y.K. Analysis of Thin Parallelogram Plates Bending by Spline-finite-strip Method // Инъюн мусюэ хелисюэ, Appl. Math. and Mech. – 1984. – v.5 – N 6. – P.755-764.
Chernyak A.M. To the calculation of physically and geometrically nonlinear cylindrical shells and plates by the finite strip method//In the book.: ResearchofStructural Mechanics and Structural Engineering. – Tomsk: Tomsk University Publishing House. – 1984. – P.22-26.
Cheung Y.K. Static and Dynemic Behavior of Restangular Plates Using Higher Order of Finite Strips // Build Sci. – 1972 – v.7 – N 3 – P.151-158.
Cheung Y.K.. Tham L.G., Li W.Y. Application of Spline-Finite-Strip Method in the Analysis of Curved Slab Bridge // Proc. Inst. Civ. Eng. – 1986. – v.81 – March – P.111-124.
Davidyants Т.R. The numerical studies of bridge structures from non-linearly deformable elements // Highways and road construction. – 1984. – v.34. – P.58-60.
Filonenko-Borodich M.M. On a certain system of functions and its application in the theory of elasticity // Prikl. Mat. Mekh. – Т.Kh. – v.2. – 1946. – P. 97-104.
Horvay G. The End Problem of Restangular Strips // J. Appl. Mech.–1953.–v.20–N 1–P.57-69.
Huliar O.I. Universalnyi pryzmatychnyi skinchenyi element zahalnoho typu dlia fizychno i heometrychno neliniinykh zadach deformuvannia pryzmatychnykh til (Universal prismatic finite element of general type for physically and geometrically nonlinear problems of deformation of prismatic bodies) / O.I. Huliar, Yu.V. Maksymiuk, A.A. Kozak, O.V. Maksymiuk // Building constructions. Theory and Practice. – 2020. – No. 6. – PP. 72–84.
Ivanchenko G.M. Derivation of formulas for calculation of nodal reactions and coneficients of matrix matrixity of a finite element on the basis of representation of transmission / G.M. Ivanchenko , Yu.V. Maksimyuk, А.А. Коzak, I.Yu. Martyniuk // Management of Development of Complex Systems: Scientific-&-Technical collected articles – Kyiv: KNUBA, 2021. – Issue46 – P. 55-62.
Lantukh-Lyashchenko A.I. Discrete continuum model of multilayer shallow shells and plates //Strength issues. – 1986. – № 7. – P.96-98.
Li W.Y., Cheung Y.K., Tham L.C. Spline-finite-strip Analysis of General Plates // J. Eng. Mech. – 1986. v.112 – N 1-P.43-54.
Maksimyuk Yu.V. Basic relations for physically and geometrically nonlinear problems of deformation of prismatic bodies (Основні співвідношення для фізично і геометрично нелінійних задач деформування призматичних тіл) / Yu.V. Maksimyuk, S.O. Pyskunov, A.A. Shkril, O.V. Maksimyuk // Strength of Materials and Theory of Structures: Scientific-&-Technical collected articles – 2020. – No. 104. – PP. 255–264.
Maksimyuk Yu.V. Features of derivation of formulas for calculation of nodal reactions and coefficients of matrix of rigidity of a finite element with averaged mechanical and geometrical parameters / Yu.V. Maksimyuk, А.А. Коzak, I.Yu. Martyniuk, О.V. Maksimyuk// Building constructions. Theory and Practice. – 2021. – Issue 8. – Р. 97–108.
Maksimyuk Yu.V. Nodal reactions and coefficients of the stiffness matrix of a finite element based on the representation of displacements by polynomials / Yu.V. Maksimyuk, А.А. Skril’, І. Мартинюк, V.V. Buchko// Building constructions. Theory and Practice. – 2021. – Issue 9. – Р. 54–62.
Maksymiuk Yu.V. Alhorytm rozviazannia systemy liniinykh ta neliniinykh rivnian napivanalitychnym metodom skinchenykh elementiv dlia kryvoliniinykh neodnoridnykh pryzmatychnykh til (Algorithm for solving a system of linear and nonlinear equations by the semivanalytic finite element method for curvilinear inhomogeneous prismatic bodies) / Yu.V. Maksymiuk, M.V. Honcharenko, I.Yu. Martyniuk, O.V. Maksymiuk // Building constructions. Theory and Practice. – 2020. – Vyp. 7. – S. 101–108.
Mikhlin S.G. The numerical performance of variational methods.–M.:The science, 1966.–432 p.
Them L.G., Li W.Y., Cheung Y.K., Chen M.J. Bending of Shew Plates by Spline-finite-strip Method // Comput. and Struct. – 1986. – v.22 – N 1 – P.31-38.
Vorona Y.V. Reliability of results obtained by semi-analytical finite element method for prismatic bodies with variable physical and geometric parameters / Y.V. Vorona, Yu.V. Maksimyuk, I.Yu. Martyniuk, О.V. Maksimyuk // Strength of Materials and Theory of Structures: Scientific-&-Technical collected articles – Kyiv: KNUBA, 2021. – Issue 107. – P. 184-192.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.


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