Ordinary least squares, ℓ² (ridge), and ℓ¹ (lasso) linear regressions
I wrote this in 2017, and am posting it now in 2021. I was surprised how difficult it was to find complete information about linear regressions in one place: the derivations of the gradients, how they get their properties (e.g., lasso’s sparsity requiring coordinate descent), and some simple code to implement them. I tried to be careful about vector shapes and algebra, but there are probably still minor errors, which are of course my own.
One big goof I had was running this on MNIST, which ought to be treated as a classification problem per class (e.g., with logistic regression), rather than trying to regress each digit to a number (e.g., the digit “1” to the number
1, and the digit “5” to the number
5). I should have ran this code on a true regression dataset instead, where you do want real numbers (rather than class decisions) as output.
However, the silver lining is that after this goof, I was in a computer architecture class where we needed to run MNIST classification on FPGAs, and the starter code had made exactly this same mistake—they were doing linear instead of logistic regression! Making that simple switch resulted in such an accuracy boost that the classifier became one of the pareto optimal ones.
The repository for this project, which contains the full writeup below, as well as simple pytorch code to implement it, is here:
Regression derivations (+ basic code running on MNIST): ordinary least squares, ridge (ℓ²), and lasso (ℓ¹).
– Max from 2021
Build linear regression for MNIST from scratch using pytorch.
MNIST (csv version) has a 60k/10k train/test split.
I pulled the last 10k off of train for a val set.
My final splits are then 50k/10k/10k train/val/test.
Viewing an image
Here’s an MNIST image:
Here it is expanded 10x:
Data loading: CSV vs binary (“tensor”)
y-axis is seconds taken to load the file; lower is better. Result: binary is way faster.
Naive regression to scalar
In this we regress each image to a scalar that is the number represented in
that image. For example, we regress the image to the number
Disclaimer: this is a suboptimal approach. If you’re going to treat was is really a classification problem (like MNIST) as regression, you should regress to each class independently (i.e., do 10 regression problems at once instead of a single regression). Explaining why would take math that I would have to talk to people smarter than me to produce. I think the intuition is that you’re making the learning problem harder by forcing these distinct classes to exist as points in a 1D real space, when they really have no relation to each other. This is better treated as a logistic regression problem.
However: (a) if you’re confused like I was, you might try it, (b) if you’re bad at math like me, it’s simpler to start out with a “normal” regression than 10 of them, (c) I’m kind of treating this like a notebook, so might as well document the simple → complex progression of what I tried.
So here we go.
Math reminders and my notation choices:
NB: While the derivative of a function f : ℝn → ℝ is technically a row vector, people™ have decided that gradients of functions are column vectors, which is why I have transposes sprinkled below. (Thanks to Chris Xie for explaining this.)
Ordinary least squares (OLS)
Loss (average per datum):
Using the average loss per datum is nice because it is invariant of the dataset (or (mini)batch) size, which will come into play when we do gradient descent. Expanding the loss function out for my noob math:
Taking the derivative of the loss function with respect to the weight vector:
We can set the gradient equal to 0 (the zero vector) and solve for the analytic solution (omitting second derivative check):
Doing a little bit of algebra to clean up the gradient, we’ll get our gradient for gradient descent:
We can plot the loss as we take more gradient descent steps:
… but it’s hard to see what’s happening. That’s because the loss starts so high and the y-axis is on a linear scale. A log scale is marginally more informative:
To instead do coordinate descent, we optimize a single coordinate at a time, keeping all others fixed. We take the derivative of the loss function with respect to a single weight:
Setting the derivative equal to zero, we can solve for the optimal value for that single weight:
However, this is an expensive update to a single weight. We can speed this up. If we define the residual,
then we can rewrite the inner term above as,
(t+1) to clarify old and new values for the weight,
rewrite the single weight optimum as:
After updating that weight, r is immediately stale, so we must update it as well:
We can compute an initial r and we can precompute all of the column norms
(the denominator) because they do not change. That means that each weight
update involves just the n-dimensional vector dot product (the numerator) and
updating r (n-dimensional operations). Because of this, one full round of
coordinate descent (updating all weight coordinates once) is said to have the
same update time complexity as one step of gradient descent (
However, I found that in practice, one step of (vanilla) gradient descent is much faster. I think this is because my implementation of coordinate descent requires moving values to and from the GPU (for bookkeeping old values), whereas gradient descent can run entirely on the GPU. I’m not sure if I can remedy this. With that said, coordinate descent converges with 10x fewer iterations.
But how well do we do in regressing to a scalar with OLS?
Not very well.
Ridge regression (RR)
NB: For all regularization methods (e.g., ridge and lasso), we shouldn’t be regularizing the weight corresponding to the bias term (I added as an extra feature column of
1s). You can remedy this by either (a) centering the
ys and omitting the bias term, or (b) removing the regularization of the bias weight in the loss and gradient. I tried doing (b) but I think I failed (GD wasn’t getting nearly close enough to analytic loss), so I’ve left the normalization in there for now (!).
(Being a bit more liberal with my hand waving of vector and matrix derivatives than above)
NB: I think some solutions combine n into λ because it looks cleaner. In order to get the analytic solution and gradient (descent) to reach the same solution, I needed to be consistent with how I applied n, so I’ve left it in for completeness.
(Just massaging the derivative we found a bit more.)
The derivative of the regularization term with respect to a single weight is:
with that in mind, the derivative of the loss function with respect to a single weight is:
In setting this equal to 0 and solving, I’m going to do some serious hand waving about “previous” versus “next” values of the weight. (I discovered what seems (empirically) to be the correct form by modifying late equations of the Lasso coordinate descent update, but I’m not sure the correct way to do the derivation here.) We’ll also make use of the residual .
As above, we update the residual after each weight update:
Focusing on the final term, we’ll use the subgradient, and pick
0 (valid in
[-1, 1]) for the nondifferentiable point. This means we can use
the “derivative” of
Substitute in to get the final term for the (sub)gradient:
NB: There’s no soft thresholding (sparsity-encouraging) property of LASSO when you use gradient descent. You need something like coordinate descent to get that. Speaking of which…
setting this = 0, and again using the residual , we have:
NB: I think that here (and below) we might really be saying that 0 is in the set of subgradients, rather than that it equals zero.
There’s a lot going on. Let’s define two variables to clean up our equation:
From this, we can more clearly see the solution to this 1D problem:
This solution is exactly the soft threshold operator:
Rewriting this into its full form:
As with coordinate descent above, we need to update the residual r after each weight update (skipping the derivation; same as above for OLS):
- Table of regularized least squares functions (Wikipedia)
- The Matrix Cookbook (Petersen & Pedersen)
- OLS with matrices notes (possibly Rosenfeld?)
- Coordinate Descent (Gordon & Tibshirani)
- A Coordinate Descent Algorithm for the Lasso Problem (Chi)
- Deriving the lasso coordinate descent update (Fox)
Many thanks to Chris Xie and John Thickstun for helping me out with math. All errors are my own.


Dec 10, 2009 one of the best videos about mathematics i have seen in the internet are from khan academy. Free math tutor porn videos pornhub most relevant page 7. Watching all these videos is a great way to prepare for algebra. Amateur female tutor seduces sucks and fucks her student. Even if you arent majoring in math, or dont think you will need it for your field of study, it is necessary to understand the general skills and concepts of math that you will use in your everyday lives. Learning math, however, can be a daunting task if you dont have the right tools or teacher, especially if you grew up believing that you are no. Work step by step through curriculum designed to actually help you learn. Khan academy offers more than 1100 downloadable videos for free in algebra, geometry, calculus, differential equations, physics, linear algebra and other fields. All videos are free for personal and commercial use. Using the fraction key with the sharp el531w duration. On this page you will find video slide lessons arranged according to different math topics fractions, additionsubtraction, geometry, probability, counting and more.
These free worksheets are reproducible for classroom use under single teacher. Get our adfree, complete math curriculum on our math goodies cd. Theres also the chat function, which aside from being a place to hold textbased conversations, allows the math tutor and the student to send files. Also find mathematics coaching class for various competitive exams and classes. The largest collection of math tutorials on the internet. These are obviously just a tiny percentage, to give you a flavor. This way, i believe you will get more out of each lesson. Math and science tutor for ios free download and software. Read the terms and conditions for using our sample lessons below. One of the best videos about mathematics i have seen in the internet are from khan academy. Pouting paige plowed by the math tutor hd porn video pornhd. The place where you can find videos on topics such as organic chemistry, general chemistry, physics, calculus, algebra, trigonometry, and precalculus. Click the download zip file button that appears to first view the worksheetszip files.
Below, you will find my youtube playlist on common topics taught in high school and college. Free math tutor porn videos pornhub most relevant page 3. This is a free download of over 400 quality math worksheets and sample pages from math mammoth products grades 19, and from make it real learning activity workbooks grades 412. The selftutorial math notes learn how to get started with your math studies and with my notes and videos. Math tutor software free download math tutor top 4 download offers free software downloads for windows, mac, ios and android computers and mobile devices. This is the place to get all my free math worksheet pdf files. Math tutor dvd online math help, math homework help. Free mathematics tutorial videos math and multimedia. Find, download, and install ios apps safely from the app store. It contains plenty of examples and practice problems including drill quizzes to help you boost your. Math and science tutor for android free download and.
It will tackle the most frustrating math problems you throw at it. A video that introduces and explains the fundamentals of multiplication, with lorraine bryant. Download math and science tutor and enjoy it on your iphone, ipad, and ipod touch. May 02, 2016 this online math video tutorial lecture shows you how to learn basic arithmetic fast and easy. Help with algebra, calculus, and high school math from professional math tutors. Instead of learning about math and stuff, paige paisley decided to pout and lie. The downloads are categorised into three main groups relating to the type of device namely computer, tablet and smart phone. Check out our testimonials for more insight into chriss explaining excellence. Create personalized courses to cater the goals of your learning program. Elderly tutor rubs and penetrates naked stunning teenie. This page contains a variety of great self help tutorials and free algebra video lessons.
Math tutor math homework help math tutor online skooli. Browse through our impressive selection of porn videos in hd quality on any device you own. Discover the growing collection of high quality most relevant xxx movies and clips. These materials enable personalized practice alongside the new illustrative mathematics 6th grade curriculum. Apr 01, 2018 i have the lectures downloaded, i can give it to you if you still need it. Watch basic mathprealgebra videos by the video math tutor. What started out as sal making a few algebra videos for his cousins has grown to over 2,100 videos and 100 selfpaced exercises and assessments covering everything from arithmetic to physics, finance, and history. We help thousands of students get better grades every day. New lessons every week members get new lessons immediately, before they are released for download or on dvd.
Right click on the links and use save as to download the video to your computer. No other sex tube is more popular and features more maths tutor scenes than pornhub. Connect with an expert online math tutor, available 247 through chat and whiteboards. Feel free to browse whichever topic interest you or.
The math help and test prep that gets you better math marks. The best free math software app downloads for windows. Created by experts, khan academys library of trusted, standardsaligned practice and lessons covers math k12 through early college, grammar, science, history, ap, sat, and more. Matlab the geometers sketchpad mathtype free calculator statistics problem solver unit convert. Possibly the webs biggest and free site for math videos. A spoof of the typical movie trailer seen in theaters. I can tutor math in english or spanish since i am fluent in both languages. Get free math help by watching free math videos online from algebra and geometry to calculus and college math. A math teacher who wants to teach the entire englishspeaking world, doug simms got his first video camera in december 2006. Watch math tutor porn videos for free on pornhub page 2. I recommend you get these and read before you watch the video lessons of the same names.
Here are the collections of sites with math, physics, engineering, and other sciences video tutorials. All downloads are listed and hyperlinked and the actual files are stored on dropbox. If you plan to use my videos for teachingtutoring purposes, you need to buy the dvds not just watch the free videos on this page with your students. Watch our impressive selection of porn videos in hd quality on any device you own. Adaptiveu functions as online tutoring software to help you impart quality to your learning management system. I am proficient in using most calculator brands and models ti, casio, sharp, and hp. Videos cover a wide variety of algebra topics including solving equations, factoring, logarithms, series, matrices, functions, and more. Free mathematics audio books, mp3 downloads, and videos. Each lesson is taught with multiple examples not just the easy problems. Free stuff from math mammoth and make it real learning. Click on the links below to get more information on each package of worksheets. Online tutoring software free online tutoring software. Your online university is free and remains open 24x7 for you and your students.
The free math tutor has hundreds of videos that teach short lessons about math. Browse over 10,000 short, tothepoint organized video tutorials. Pexels videos makes it easy to find free stock footage for your website, promo video or anything else. Get our ad free, complete math curriculum on our math goodies cd.
This app is available only on the app store for iphone and ipad. The free math tutor has hundreds of short videos that teach math lessons. Free math videos at 5 comments download youtube math video, downloading videos from youtube, how to download videos from youtube leave a. Shown below is one of their mathematics tutorial videos discussing the concept of slope. Helpful math videos covering topics from basic mathematics through calculus.
Learn with stepbystep video help, instant practice, diagnostics and a personal study plan. Then play it with version 7 of apples quicktime player. Math lessons, video lessons for teaching math geometry. Play the videos directly from this site using the mozilla firefox browser. Each math lesson provides indepth instruction ideal for learners of all ages and abilities. Tutorvista is the leading online tutoring company in the world providing affordable and high quality education to tens of thousands of students globally. Sindy lange probably be the hottest math tutor there is. A wonderful collection of free statistics videos and probability lessons. Use a high speed connection to access the videos below. None of our tutors actively indicated that they fit all your filters right now, but 0 similar tutors are online. Our math lessons are designed to make math meaningful to the student.
Whether youre looking for immediate help with a math class or want to set up weekly tutoring, chegg tutors has online tutors who can help with any class from geometry to linear algebra. Watch math tutor porn videos for free on pornhub page 3. Math tutor software free download math tutor top 4. Statistics and probability concepts can be tough to grasp for many. Providing free math videos to help students and adults pass cxc csec maths, cxc csec additional maths, cxc cape pure maths and new york state regents maths. Algebra free printable math worksheets videos games. Algebrator can show every step to every answer, serving as an automated tutor for mat. Khan academy offers more than 1100 downloadable videos for free in algebra, geometry, calculus, differential equations, physics, linear.
Discover the growing collection of high quality math tutor xxx movies and clips. The maths tutor and test prep that gets you better maths marks. Free sample videos below are just a few videos from our library so you can see the look and feel of things, and get a sense of chriss nonegghead style. Among these tools that make online math tutoring so effective is the interactive whiteboard, which allows the math tutor and the student to write, draw, and collaborate on equations or problems.
I have an a in ap calculus kennedy, 12th grade, virginia. Pouting paige plowed by the math tutor hd porn video. I go to all the time and use it whenever i dont understand something. Free math tutor porn videos pornhub most relevant page 2. No other sex tube is more popular and features more math tutor scenes than pornhub. The tutor explains what are factors, divisors, prime and. Watch math tutor porn videos for free on pornhub page 7.351 699 98 1559 319 664 37 400 962 28 698 1536 1332 889 752 1256 1317 693 405 820 386 246 521 402 742 1231 186 1391 1084 73 337 219 745 275 1499 203 1137 205 1486


Prof. G. Niccolini
(S3, elective, 3 ECTS)
|During the mathematical modeling of a physical problem chances are that one will obtain differential equations, either Ordinary Differential Equation (ODE) or Partial Differential Equation (PDE). In astrophysics the need for numerical simulations is even more critical since the objects under study are far from being located in the lab. A large variety of physical problems are described in that way such as e.g. fluid dynamics, heat conduction, n-body simulation, radiative transfer, etc. Solving the equations of mathematical physics numerically is a good playground to face the classical problems of numerical analysis such as interpolating, integrating, solving linear systems of equations, studying the stability of numerical schemes etc … The student will acquire all the necessary theoretical background to solve differential equations numerically and will apply the freshly acquired material in small illustrative computer projects.
|Knowledge and Understanding:
|The student will learn how to solve numerical problems focused on the solution of differential equations, using various techniques from numerical analysis, such as the finite difference method. He/she will learn how to build and study the behavior of various numerical schemes used to solve the classical equation of mathematical physics such as for instance the heat equation, the wave equation etc …
|Applying Knowledge and Understanding:
|The student will develop computer programs (using C++ and python) to solve for classical problems of mathematical physics as a direct application of the new mathematical material introduced in this series of lectures in an hands-on approach.
|Mathematics knowledge : three-year university degree in mathematics and/or physics Physics knowledge : three-year university degree could be helpful but not mandatory.
|Part 1: Fundamentals • Round-off error and the floating point number system. • Truncation errors. • Interpolation • Linear systems of equations(a) Iterative methods for sparse systems (Jacobi, Gauss-Seidel, Successive Over-Relaxation, conjugate gradient, . . . ) • Finite Difference (FD) approximations of differential operators • Discrete Fourier Transform Part 2: Partial/Ordinary Differential Equations Solving ODE numerically • One-step methods (Euler, RK, Taylor series, explicit vs implicit methods) • Multi-step methods (Leap-Frog, Adams-Moulton, Adams-Bashforth)•Stability analysis : notion of zero and absolute stability, characteristic polynomial(a) Solving PDEs • Boundary conditions • Truncation error and consistency • Convergence and stability • Von Neumann stability criterion Part 3 : practical works Short introduction to programming. Development of computer programs to solve linear PDE of mathematical physics(wave equation, Schrödinger, diffusion, advection etc …)
|Description of how the course is conducted
|The course consists in a series of lectures, complemented by sessions of problem solving and practical works. Lecture notes in the form of a pdf document are provided, containing the material addressed in the course with a reservoir of exercises and a step by step description of numerical projects focused on the resolution of partial differential equations.
|Description of the didactic methods
|A thorough description of each topics is made in parallel to exercise sessions as a direct application to the presented new materials. The student will learn by intense training and personal work. He/she will also have to face actual problems in the form of small numerical/programming practical work where the interaction between student will be privileged . Students will finally work by pair on a larger project to complement their skills in an hands-on approach.
|Description of the evaluation methods
|Homeworks (10%), written exam (40%) and project (50%)
|• A First Course in Numerical Analysis, Ralston, A. and Rabinowitz, P., Dover Publications, Inc., 2001 • Finite difference methods for differential equations, LeVeque, R.J., 2007 • Numerical methods for engineers and scientists, Hoffman, Joe D and Frankel, Steven, CRC press, 2001 • Finite volume methods for hyperbolic problems, LeVeque, Randall J, Cambridge university press, 2002


International Journal of Modern Education and Computer Science (IJMECS)
ISSN: 2075-0161 (Print), ISSN: 2075-017X (Online)
Published By: MECS Press
IJMECS Vol.11, No.3, Mar. 2019
Differential Antagonistic Games with Lexicographic Vector-Payoffs
Full Text (PDF, 534KB), PP.23-30
In this paper the existence problem of the equilibrium situation in differential antagonistic games with perfect information and lexicographic payoffs or in a -dimensional vector-payoffs' game where criteria are strictly ranged with preference relation is studied. The players' dinamic is defined by vector differential x=f( t,x ,u ),y=g( t,y ,v ) equations, respectively control functions u( .), v(. ) and ∈〔0.T〕time interval. This is a game ΓL(x0, y0)=(Γ1,...Γm ) where x0, y0 are starting positions in t=0 moment respectively the first and second players'. x(t)and y(t) are trajectories, the players final aim is finding their optimal variants. A lexicographic ε -equilibrium situation is defined in the game and the conditions of its existence are investiga-terd. These conditions are mainly about f and g functi-ons. The main definitions are introduced and some results are formulated from theory of differential games with scalar payoff functions and independent move-ments, they are the main for getting results for analogic differential games in the case of lexicographic payoffs. Some auxiliary statements correctness are also establi-shed, on its basic it is proved that in ΓL(x0, y0) game for any ε>0 there exists a lexicographic ε-equilibrium situation in pure strategies.
Cite This Paper
Guram N. Beltadze, " Differential Antagonistic Games with Lexicographic Vector-Payoffs", International Journal of Modern Education and Computer Science(IJMECS), Vol.11, No.3, pp. 23-30, 2019.DOI: 10.5815/ijmecs.2019.03.04
M.E.Salukvadze. "Vector-Valued Optimization Problems in Control Theory". Academic Press, New York, 1979, 219 p.
I.Flugge-Lotz, H. Marbach. "The Optimal Control of Some Attitude Control Systems for Different Performance Criteria". Journal Basic Engrn., Series D, Vol. 85, No. 2, 1963.
W.L.Nelson. "On the Use of Optimization Theory for Practical Control System Design". IEEE Trans, on Auto. Control, Vol. AC-9, No. 4, 1964.
V.I. Zhukovskiy, M.E. Salukvadze. "The Vector-Valued Maximin". Academic Press, New York. 1993, 312 p.
G. N. Beltadze. "Sets of equilibrium situations in lexi- cographic noncoalition games". Bulletin of the Acade- my of sciences of the Georgian SSR, 98, № 1,1980, pp. 41-44 (in Russian).
G. N. Beltadze. "A mixed extension of finite noncoa- coalition lexicographic games".Bulletin of the Academyof sciences of the Georgian SSR, 98, № 2, 1980, pp. 273-276 (in Russian).
G.N.Beltadze. "Analysis of the infinite dimensional lexicographic games". Bulletin of the Academy of sciences of Georgian, 141, № 2, 1991, pp. 241-244 (in Russian).
G. N. Beltadze, A.L. Topchishvili. "Multicriteria nonco- operative games with strictly ordered criteria". A.Gop- fert, J. Seelender, Chr. Tammer (Eds). Methods of Mul- ticriteria Decision Theory, Proceedings of the 6 th Work- shop of the DGOR -Working Group Multicriteria Op- timization and Decision, Frankfurt, 1997, pp. 69-86.
M. E. Salukvadze, G.N. Beltadze, F. Criado. "Dyadic theoretical games models of decision – making for the lexicographic vector payoffs". International Journal of information Technology and Decision Making, Vol. 8, Issue 2, 2009, pp. 193-216.
G. N. Beltadze. "Lexicographic noncooperative game's mixed extension with criteria". International Journal of Systems and Sofware ARPN Publishers, Vol 1, № 8, November 2011, pp. 247- 250.
G.N. Beltadze. "Lexicographic Multistage Games with Perfect Information". Informational and Communica-tion technologies - Theory and Practice: Proceedings of the International Scientific Conference ICTMC- 2010 Devoted to the 80th Anniversary of I.V. Prangishvili. Nova Publishers, 664 pp. USA, 2012, pp. 275- 281.
G. N. Beltadze. “Lexicographic Strategic Games’ Non- standard Analisis”. International Journal of Intelligent Systems and Applications. Hong Kong, Volume 5, Number 7, 2013, pp. 1-8.
G. N. Beltadze, J. A. Giorgobiani. "Shapley’s Axioma- tics for Lexicographic Cooperative Games'. Internati-onal Journal of Modern Education and Computer Science (IJMECS). Hong Kong, Volume 7, Number 8, August 2015, pp. 1-8.
G. N. Beltadze, J. A. Giorgobiani. "The Stability of Equilibrium Situation in Lexicographic Strategic Games". International Journal of Modern Education and Computer Science (IJMECS). Hong Kong,Volume 8, Number 8, December 2016, pp. 38-45.
M. E. Salukvadze, G. N.Beltadze. "Stochastic Game with Lexicographic Payoffs". International Journal of Modern Education and Computer Science (IJMECS). Hong Kong, Volume 10, Number 4, April, 2018, pp. 10-17.
L. D. Berkovits. "A variational approach to differential games". In: Dresher M., Shapley L.S., Tucker A.W. (eds). Advances in game theory. Anals of mathematics studies,Vol 52, Princeton University Press, Princeton, 1964,pp. 127-174.
W.H.Fleming. "The convergence problem for differen- tial games". Journal of Mathematical Analysis and Applications. 1961, Vol 3, Issue 1, pp. 102-116.
P.P. Varaiya, J. Lin. "Existence of saddle points in diffe-rential games". SIAM Journal on Control. 1969, Vol 7, pp. 141-157.
P.P. Varaiya. "On the existence of solutions to a diffe- rential game". SIAM Journal on Control. 1967, Vol 5,pp. 153-162.
A. Friedman. "Differential games". New York: Wiley- Interscience, -Pure and applied mathematics (Interscience Publishers), 1971, p. 350.
O.A. Malafeev. "The existence of equilibria in noncoope- rative two persons differential games with independent movements". Vestnik LGU, Ser. Mathematics, 1980, Vol 4, pp. 12-16.
G.N.Beltadze. "ε-Equilibrium in Games with Strictly Ranked Criteria". Information and Computer Technology, Modeling and Control. Chapter 38. Editors: Ivane Gor- gidze, Tamar Lominadze, Maka Khartishvili and Ketevan Makhashvili (Georgian Technical University, Tbilisi, Georgia).Nova Science Publishers, New York, 2017.


It can sometimes be difficult to get your toddler excited about learning maths at home. But when you mix maths with arts and crafts, your little one can be more engaged, which in turn, will help them learn faster!
As well as being a source of family fun, these activities also have the advantage of teaching maths in a way that means your toddler may not even realise they are learning. Here are some hands-on and creative maths ideas for toddlers.
1. Caterpillar Finger Painting
This hands-on activity will teach your little one about counting.
All you need to do is have your toddler draw some caterpillar faces down the left-hand side of a bit of paper. Then, write a number from 1-5 next to each caterpillar’s head.
You’ll then need to get some different coloured paints out! Have your child finger paint the caterpillar’s body according to the number next to it. For example, a caterpillar with the number 3 would have 3 fingerprints making up the body.
This will teach your child to recognise numbers and count whilst they make their colourful caterpillars. It’s a great way for your little one to express their artistic side, too!
2. Number posters game
Here, your toddler can really unleash their creativity to prepare for a fun and active maths game.
Write down some numbers on A4 pieces of paper. Then, let your child decorate each number with colouring pencils, crayons, paints – whatever they like! This will help them remember the numbers easier, as they have spent time individually decorating them.
Then, place the numbers on the floor around you or stick them to the walls. This is where the game starts – call out a number and your toddler will run to the correct one. It’s great fun to play with friends or brothers and sisters, as you can make it into a race. Who knew you could combine exercise with maths? It’s a great way for your toddler to expend their energy – especially if stuck indoors on a rainy day.
3. Colour arranging
Patterns and arrangements is definitely a core maths skill that you can work on at home. Understanding size, shape, and patterns is an important early mathematical concept for your little one to learn, so this is a great activity to try out.
For this one, you can draw some circles on a piece of paper. Then, label each circle with a different colour by painting or colouring in the circle.
Then, have your child stick arts and crafts materials that match the colours in the right circles. This could be sequins, stickers, or anything you have lying around.
4. DIY clock face
Telling the time can be a challenging skill to teach to toddlers, but with your very own personalised DIY clock, learning to tell the time can be fun!
For this, you’ll just need a paper plate, some cardboard for the hands, and a split pin. And of course, lots of decorating supplies!
A parent or adult will need to create the clock itself, as the pin is sharp. Cut out a short and longhand, and attach them to the middle of the paper plate, so they spin around like a normal clock.
Then, map out some dotted numbers around the clock for your little one to trace over. This will help them learn to write numbers.
Then comes the fun bit – decorating the clock! For toddlers, having their own clock that they made themselves will get them excited about learning to tell the time. You can even ask them what time they think it might be at different times of the day, or to copy the time from your main household clock.
Fun Maths Activities at Little Angels
At Little Angels, we are proud to help your child learn in a fun and engaging way every day at nursery. Find more information about our facilities here.


STEM Learning Ecologies is a subject that integrates Science, Technology, Engineering and Mathematics knowledge in an applied context for early childhood educators. In STEM Learning Ecologies, students explore the multimodal nature of learning, a concept that recognises that learning occurs through through oral, written, visual, spatial, tactile, gestural, and aural modalities. Students also learn that STEM education requires intentional teaching to scaffold learners as they play with ideas and engage in explorations.
This page provides an overview of the workflow for the STEM Learning Ecologies PebblePad assessment and includes examples of the following:
- The Learning Workbook
- Ordinary Moments Blog
- PebblePad Portfolio - Connecting Ordinary Moments with STEM Learning Ecologies
- Peer Review
- Final Submission


Soil pH. It is one of the most important chemical properties that affect nutrient interactions in soils and plants.
November 30, 2011 By Dr. T. Scott Murrell*
Soil pH. It is one of the most important chemical properties that affect nutrient interactions in soils and plants. It is, however, one of the most misunderstood measurements, particularly when comparing one pH value to another.
| Soil pH affects nutrient interactions in soils and plants.
Photo by Ralph Pearce.
A question that is often asked is, “How many times more acid is one pH than another?” This question is not so straightforward to answer, because pH is not on a linear scale, like a ruler. Instead, it is on a negative log scale. Soils that are higher in acidity actually have smaller pH values, thanks to the negative log scale. The pH scale goes from 0 to 14. The 0 end of the scale is more acid. The 14 end is basic, and a pH of 7 is neutral, dividing acidic from basic. So we know that a pH of 5.8 is more acid than a pH of 6.6. But how many more times acid is it?
To get at the answer to this question, we must first recognize that pH is a transformed measure of the concentration of acid. To find out “how many more times acid” one pH value is than another, we have to do some mathematical manipulations to get us out of the negative log scale and back to a linear scale where such comparisons make sense.
The table below was developed from these mathematical manipulations and is provided to allow you to quickly determine how many times more acid a lower pH value is than a higher one. To use the table, take the higher pH value and subtract the lower one. Look up the difference in the table, under the heading “pH difference.” Then look at the corresponding number in the column to the right labelled “Times more acid.” Using our example, we want to compare pH 5.8 and 6.6. We take the higher value and subtract the lower one: 6.6 – 5.8 = 0.8. When we look up 0.8 in the table, we get 6.3. So the lower pH of 5.8 is 6.3 times more acid than the higher pH of 6.6. Using this table, you can easily determine how two pH values compare to one another, up to a difference of 3 pH units. For a more complete set of units, visit nanc.ipni.net/articles/NANC0022-EN.
* Dr. T. Scott Murrell, Northcentral Director, International Plant Nutrition Institute (IPNI). Reprinted fromPNIPlant Nutrition Today.


Individual paths to success.
Students participate in New York State’s Next Generation Learning Standards for English Language Arts and Mathematics. It includes classes and labs in Mathematics, English Language Arts, Social Studies, Science, Career, Health, Technology, Art, Music, Phys. Ed., Spanish, Mental Health Awareness, Earth Science, Algebra 1 and 2, Geometry, Living Environment, Chemistry, English 9-12, Global History 1 and 2, U.S. History, and Economics/Participation in Government.
Our Career and Occupational Studies Academy prepares students for careers in cosmetology, HVAC, and plumbing. Other career areas being developed on the horizon are retail customer service, barbering, and graphic design. Upon completion of a course of study at the Academy, students are awarded a Career Development and Occupational Studies Commencement Credential.
Students have access to instructional technology that includes Chromebooks, iPads, and a music technology lab.


(Updated April 4, 1997)
These models were made in Germany about 100 years ago.
They have been trimmed by the aid of some chinese students since 1996.
As for the mathematical explanation, please see a home page by N. Takeuchi.
At a dinner party for foreign students in Komaba, 18 Dec. 1996
At a dinner party for foreign students in our graduate school, 24 Jan. 1997
(guest, student1, student2, student3, faculty and office members)
At a wine party for the colloqium (Prof. H. Fujita), 24 Jan. 1997
Back to Home Page


wolfram research mathematica v8 keygen, speed up my pc keygen 2010, gmail password hacker key generator.
If Downloads, please use one part of the name only to find better results.
From simple calculator operations to large-scale programming and interactive document preparation, Mathematica is the tool of choice at the frontiers.
Wolfram Mathematica v8 0. 4 KeyGen Only by AGAiN For Windows OS. Zip torrent size: 67. 948 KB. Wolfram Mathematica v8 0. 4 KeyGen Only by AGAiN.
2013 crack software download. Please press Ctrl+F to find your cracked software you needed. I have the more latest cracked softwares. If you need any softwares.
Found results for Wolfram Research Mathematica V18.104.22.168 crack, serial keygen. Our results are updated in real-time and rated by our users.
Results of mathematica v22.214.171.124 crack: Free download software, Free Video dowloads, Free Music downloads, Free Movie downloads, Games.
Download Wolfram Mathematica v8.0.4 Incl KeyGen for Mac Full Mathematica 5.0 Install and License (keygen) Bengali [No Need to Crack Patch] - Duration.
Found 6 results for Mathematica V126.96.36.199. Full version downloads available, all hosted on high speed servers.
[Download] Wolfram Mathematica 9/10 CRACK-KEYGEN Descarga Wolfram Mathematica v8 full Descargar mathematica 8 full Internet Manager IDM 6.20 Build 5 Final SceneDL.
The small but effective WOLFRAM RESEARCH MATHEMATICA V8 KEYGEN is easy to use and delivers on its promises. To make sure your edits happen right at the correct moment.
Wolfram Mathematica V8.0.4 KeyGen Only By AGAiN (For Nero 12 HD Suite Platinum 12.5.01900 microsoft office for windows 8 free download full version crack.
Wolfram Mathematica VcrEDist v8 0 1-AGAiN Keygen.rar. Nero Multimedia Suite Platinum HD 10 6 11800 Incl Crack and Serial Keygen.rar.
Author's comment: The full version costs .95 to unlock. The download completed as quickly as expected via a high-speed Wolfram Mathematica V8.0.4 Keygenion.
Download Cracks, Software, Games, Movies, TV, Music, Torrents and More! Updated regularly with over 88390 downloads available.
Wolfram Mathematica 8.0 Home Edition - KL. Mathematica - a program designed to perform calculations for the preparation of interactive documents and programming.
crack, serial, fix, patch, free, download, Hydromax Pro v8.5 for Maxsurf (c) Mathematica 4.1 (C) Wolfram Research---.
Wolfram Mathematica V8.0.4 Keygen, easy driver pro crack free download, keygen ut2003.Wolfram Research Mathematica 10.0.1 with Key could be the tool of choice along the technical world for many techniques from simple calculations in order to […].
Download Wolfram Research Mathematica v188.8.131.52 keymaker by AGAiN at our cracksguru database. Find lots of other cracks, serial numbers, keygens.
Wolfram Mathematica V8 0 4 Incl Keygen Macosx Torrent Download rapidshare megaupload hotfile, Wolfram Mathematica V8 0 4 Incl Keygen Macosx Torrent Download.
Imindmap Ultimate V8.0.5 Warez Download. Includes Crack, Serial Number, Keygen, Activation.
Download và Crack Mathematica 5.0 Quyen nguyen xuan. Subscribe Subscribed Unsubscribe 18 18. Descarga Wolfram Mathematica v8 full - Duration:.
Download: Mathematica V184.108.40.206, Found: 7 Results, Links: Extabit Filepost Filesonic Fileserve, Includes: Crack Serial Keygen, Updated: 28-Sep-2016.
Download Wolfram Mathematica 10 Full Key, Activation , Latest Version] for PC , Mac and Linux Download the full version + crack of the Encase.
Try Mathematica for free. Trial includes a download of Mathematica, along with access to Mathematica Online.
برنامه کامل محاسباتی مشهور در جهان / Mathematica is renowned as the worlds ultimate دانلود Foxit PhantomPDF Business v8.1.1.
Mathematica 8 Crack Serial Keygen rar : 5.72 Mb: 3: 0: Wolfram Research Mathematica v220.127.116.11 Incl Mathematica in Action Problem Solving Through Visualization.
Wolfram Mathematica V8 0 4 Incl Keygen Macosx Download fresh windows warez idm adobe avast crack keygen nero facebook.
Based on Wolfram Language, Mathematica defines the state of the art in technical computing. Now available through any browser and on mobile, as well as desktop.
,Wolfram Mathematica 8 crack ,Wolfram Mathematica 8 crack free ,free Wolfram Mathematica 8 Wolfram Mathematica 8 Full ISO and Keygen Torrent Files Download.
crack software download Jason v8.3 Materialise Mimics 14.12 SimPlant 2011 Maxsurf 13 Mician mWave Wizard 7 pas 4/29/13 5:24 PM: Mathematica.Link.for.excel.
Wolfram Mathematica 10.3.1.0 Full + Keygen is a powerful program that will do some very complicated computing calculations and AnyDVD HD v18.104.22.168 Full + Crack.
Mathematica 5.1 full Mathematica 7.0 download Mathematica 8.0 free download Mathematica 6.0 Mathematica 8 free download Wolfram mathematica 7 free download.
Full Android OS, v4 0. 4 Ice Cream Sandwich Download: 2776 kbs. Wolfram Mathematica v8 0 4 KeyGen Only by AGAiN For Windows OS applications Here is an example.
Wolfram Mathematica 9 will produce more accurate download results if you exclude using keywords like: serial, crack, keygen, code, etc. Many downloads.
crack software download Moldex3D R12 Smartcam V17 Encom.Discover.V2012.0.2 DNVS Maros 8.1 DNV SESAM Mathematica v10 Mar Spring.Technologies.NCSimul.v8.4.
Feel free to post your Wolfram Research Mathematica v22.214.171.124 Incl. Keymaker-AGAiN torrent, subtitles, samples, free download, quality, NFO, rapidshare, depositfiles.
Microsoft Office 2010 All Activation 5 Crack Full-Enjoy!!!.zip mathematica_5-2_keygen.zip Materialise Magics RP v126.96.36.199 by ViRiLiTY.zip.
#Title:Mathematica 8.0 crack #Tags:mathematica Mathematica 8.0 crack Rating Related Downloads Downloads Isaac Newton: Philosophiae naturalis principia mathematica.
Wolfram.Research.Mathematica.v188.8.131.52 serial numbers, cracks and keygens are presented here. No registration is needed. Just download and enjoy.
keygen by edge mathematica 7, Elasticity with Mathematica.
download Mathematica Wolfram V8 search results hosted on nitroflare uploaded rapidgator uploadrocket torrent uploadex sendspace with crack serial keygen.Mathematica.
Wolfram Mathematica v9.0.1 Windows Mathematica is a general computing environment, organizing many algorithmic, visualization, and user interface capabilities within.
Title: Wolfram Research Mathematica V8 Key Size: 7.7 MB Downloads: 88474 Wolfram Research Mathematica V8 Key crack serial number key activation.


You will also learn SUMIFS function in an easy way. This function is a member of the mathtrig excel function group.
This function returns sum of values based on conditions fulfillment.
Excel formula sumifs with or. This gives the following generic formula. The SUMIFS function in Excel adds all of its arguments based on criteria you specify. To sum values in corresponding cells for example B1B10 modify the formula as shown below.
How to How To Use SUMIFS Formula In EXCEL. Unlike the SUMIF excel function which checks for a single condition the SUMIFS formula. SUMIFS in excel is a conditional formula to calculate the sum as the same suggests it performs the addition operator on a range of cells when they fulfill multiple if condition or multiple criteria provided in the function this is an inbuilt function in excel and are widely used as conditional statements.
For example SUMIFSA2A9 B2B9 A C2C9 Tom adds products that begin with A and were sold by Tom. You can learn SUMIFS function in excel with example. The SUMIFS excel formula is used to find the sumtotal of values in excel if the specified conditions meet or get fulfilled.
File is attached for your reference. SUMIFA1A101A1A10. For formula SUMPRODUCTSeasonH2Amount lets split the formula to several parts and see how to get final result 500 by steps.
HOW THIS FORMULA WORKS. For logical operation we start calculating from the inner part. To do this modify the formula shown above by replacing the multiplication sign with a plus sign.
Sumifs with Criteria 1 as range rather than cell Hi I am working on a file where I need a sum of all the quantities sold during a month for a specific list of sales persons IDs as listed in the file in Column P. Skip to main content. In the formula bar select Amount in the formula and press F9 to expand values from Amount range reference in an array.


The kids have been working hard both here in the classroom and in our computer lab to develop fluency when solving addition and subtraction math facts. I have listed some resources below that will help with this skill at home.
Addimals: a free app for iPads
Big Brains: for more information go to our school website (yes.yarmouthschools.org); click on the "Students" Tab; then "Educational Resources"; next click on 2nd Grade; then "Math".
Fact Dash: see our school website
Addition Machine: see our school website
Subtraction Machine: see our school website
Sum Sense: see our school website
You will also find activities that support each unit of study in Everyday Mathematics on the YES website. This is a wonderful resource!


Our topic in Autumn 2-Colour and Pattern
This term we have been learning about different colours and repeating patterns. We learnt about bonfire night and made firework pictures using different coloured paints and cardboard tubes. We used the technique of brusho to paint mix colours.
We focussed on the story Whatever Next and made rockets using different shapes as well as talking about day and night.
In maths we have been learning to count in sequence, to recognise numicon shapes to 5, match amounts that are the same and represent amounts using marks on paper.


3 digit addition without regrouping worksheets 1 with pictures luxury free 2 word problems grade and subtraction math download them try ad.
addition worksheets four digit column adding 6 1 for kindergarten without regrouping 2 plus with all.
3 digit math worksheets grade division digits by 1 addition worksheet fun free.
maths 2 digit addition worksheets math without regrouping by 1 related post with.
3 digit by 1 multiplication worksheets math single 2 plus addition with regrouping works.
1 digit addition worksheets one subtraction single 2 plus grade additio.
1 digit subtraction worksheets 2 plus addition printable free grade single math and word problems without wo.
1 digit addition worksheets pdf horizontally arranged with pictures 2 plu.
addition worksheets single digit questions with no regrouping speed 1 and subtraction check pictures.
5 digit addition worksheets multi simple 0 1 for kindergarten 6.
triple digit addition worksheet 1 and subtraction worksheets long three word problems 5 2 3 two.
math 4 digit addition worksheets 3 column 1 coloring vertical addit.
math facts to worksheets 1 digit addition worksheet fun the single questions with some regrouping basic and subtraction 2 plus workshee.
2 digit math worksheets full size of subtraction plus 1 addition with regrouping without.
addition with zero worksheets 2 digit plus 1 worksheet fun minute multiplication mad minutes math free w.
8 addition word problems using 1 digit with 2 addends math single worksheets without regrouping worksheet fun.
free math addition worksheets new 1 digit photo geek for grade 4 2 on adding 3 with regrouping worksh.
numbers 1 9 printable touch math double digit addition worksheets 2 plus with regrouping free single and subtraction regrou.
addition by 2 worksheets with regrouping two digit and subtraction for grade 1 printable math double download.
addition worksheets 1 digit with regrouping 3 plus some coloring.
single digit addition without regrouping worksheets 3 with grade 1 math new dig.
first grade addition worksheets for 1 digit worksheet fun luxury free without r.
free math worksheets 2 digits minus 1 digit subtraction image below by addition with regrouping and n for grade best of sample mixed addi.
by multiplication a math worksheet grade 3 digit addition worksheets 2 plus 1 with regrouping money.
addition sum of two 1 digit numbers without carry archives and subtraction worksheets for grade kindergarten worksheet fun.
double digit math worksheets 1 addition worksheet fun for all magnificent coloring grade and subtraction touch without regrouping workshe.
1 digit addition worksheets single facts questions and 2 subtraction math first preschool adding three one 3 with regrouping.
triple digit addition worksheets 1 2 practice adding math worksheet teacher kindergarten and subtracting snapshot for teachers work.
1 digit addition and subtraction worksheets 2 math pdf multiplication coloring.
addition worksheets 1 digit without regrouping large print multi with some 2.


Quantification of chronic scarring following acute injury. A. Fractional area of a central longitudinal kidney section stained blue by Mason’s trichrome is plotted as a function of the day 2 BUN. B. Ratio of day 21 total kidney mass to pre-injury body mass is plotted as a function of the day 2 BUN for each mouse. In both panels A and B, WT mice are represented by filled diamonds, Clic4 null mice by open squares. Solid line represents linear regression line for the WT, dashed line represents the linear regression line for the Clic4 null. See text for values and standard error of the slopes. The slopes of the linear regression lines are not different between the WT and Clic4 null mice in either graph.


Geometric algorithms in Haskell
October 19, 1998
In my diploma thesis (written in German) I investigate the application of the functional programming paradigm in the context of geometric algorithms.
The implementation of geometric algorithms is often considered as difficult. This is due to the following three problems: inexact arithmetik, degenerated inputs and the correct implementation of complicated parts. The traditional method of software development is made responsible by researchers for the gap between theory and practice of geometric algorithms. We note, that the first two problems are caused by the nature of geometric problems and the last two problems by the methods of software development and the programming language used.
In the thesis is shown, that complex geometric algorithms can be implemented short, modular und with a high degree of abstractness in the functional programming language Haskell. Therefore functional programming posesses the potential to reduce the two last mentioned problems.
- Basic datastructures for points, lines, segments, rays, polygons and simple functions like calculations of angles, area, etc.
- datastructures for efficient orthogonal range queries: kd-trees and rangetrees
- algorithms for twodimensional convex hulls: Jarvis March, Grahams Scan, Merge-Hull, the algorithm of Kirkpatrick and Seidel and Chan's algorithmus
- algorithms for the triangulation of simple polygons: two simple but inefficient algorithms, the "standard"-algorithm of Garey, Johnson, Preparata and Tarjan and two output-sensitive algorithms of Toussaint
- the quad-edge data structure (QEDS) for planar subdivisions and polyhedra
- algorithms for Delaunay-triangulations and Voronoi-diagrams in two dimensions: the divide & conquer-algorithms of Stolfi and Guibas, which uses the QEDS and a randomised incremental algorithms by Boissonnat and Teillaud, which uses the delaunay-dag.
- and some applications in two dimensions, like all-next-neighbors, the next post office, the largest empty circle and the closest pair in any dimension.
The thesis is written in German, but probably it is of use for anyone with basic knowledge in functional programming and/or geometric algorithms.
The source code is available.
Remark: This post was adapted to the new blog format in November 2016.


Probability Distribution Modelling of Microwave Radio Refractivity over Selected Locations in Nigeria
In this study, distribution models were used to model radio refractivity of over some stations across the various climatic zones of Nigeria. Eleven years (January 2004 to December 2014) of Meteorological Data from ERA INTERIM Re-analysis data were used to calculate radio refractivity of each location. It was observed that normal distribution among the probability distribution functions, predicts the peak of the distribution curve and gives the best fit for radio refractivity in all the locations. Weibull distribution strength is built from a small sample sizes. The distribution of the mean value of refractivity in the coastal areas was observed to be weak.


This guide will show you values for coins graded by these leading companies, which should.Money Unit This. model counting from highest value coin to lowest value coin.These money posters work like anchor charts since each one features a coin and the value.Start a chain reaction as kids count the coins in the pictures and read the money amounts on their cards. 1st through 3rd Grades Game: Counting Money Memory (Intermediate) Match the money amount to the coin cards in this memory game.This Money Worksheet will produce a worksheet with pennies, nickels, dimes, quarters and half dollar coins.
Learn all about money, addition and subtraction, the different denominations used.
1st Grade Counting Money Worksheets - free & printable
Money Worksheets | Identify the Coins WorksheetsUS Mint selection of numismatic items include gold, silver and platinum coins, program coins,.Money should begin with a single denomination, ideally pennies.Write the correct coins in the empty circles. 1st through 3rd Grades Dollar Money Bonds A (Subtraction) Fill in the missing money amount for each number bond.Whitman has the best selection of stamp and coin collection books for coin collecting and stamp collecting.Rationale: The student needs to learn the value and combination of.In this lesson, students will use their understanding of base ten to.Students will identify the value of coins and complete coin counting activities.
Price Guide for Beginners (View the U.S. Currency Pricing Guide) How much is my coin worth.Kids completing this kindergarten math worksheet cut out the coins, sort them, and paste them into a picture graph.Kindergarten to 2nd Grade Counting Money Memory Game (Basic) Match the money amount to the coin cards in this memory game.Giant Number Line: This activity ramps up the multisensory element of money and skip counting.Using Money Is an Important Functional Skill for Independent Living.
Guide to Ancient Roman Coinage - Littleton Coin Company
Matching Coins: A variation of sorting coins is to match them to the values on a card stock mat.Includes activities with both Pre-2008 and current UK coinage.
How to Teach Coins to Autistic Students. say the name of the coin and the value of the coin. Write the names and numbers of the coins on the chart as well.Each time a team adds a new coin or bill to their side, ask students to.
Coin Collecting | Coin Collection Books + Stamp CollectingYour Students Must Learn Functional Skills to Build Independence.
A to Z Teacher Stuff :: Teaching Money
Learn to Count Money | ABCya!Use a hundred chart to help students count coins. Find this Pin and more on Math - Money by suepat. coin value worksheet Free coin counting math worksheet.
Paint a giant numberline (or get parent volunteers) on a paved portion of the playground or school courtyard, with the numbers 1 foot apart.Write the correct coins in the empty circles. 1st through 3rd Grades Money Bonds 2 (Intermediate) This is a different variation of the money bonds worksheet above. 1st through 3rd Grades Dollar Money Bonds (Intermediate) The coins on the outside of each web add up to one dollar.Write the value on the card (front for low functioning children, on the back as a self-correcting activity).
Free 1st grade counting money worksheets. Also. on counting money help students learn to identify and. reviews the names and values of U.S. coins.Activities with a Hundred Chart will help build these skills.Please login to your account or become a member and join our community today to utilize this helpful feature.:).Practice counting loonies, toonies, and other Canadian coins.Place a cup for each denomination, and place the mixed coins on the table in front of the child.Using Money to Understand Decimal Place Value. and then record it correctly in the place value chart.Mathematics for Special Education - Skills for Primary Grades.
Teach your students to count. an determine the value of the coins. used in a pocket chart or on your.Do not use fake plastic coins for low functioning students with intellectual or developmental disabilities: They need to generalize coin use to the real world, and the plastic coins do not feel, smell, or even look like the real thing.Search coin price using Red Book Online, search by coin year or by coin images.Find great deals on eBay for coin values and usa coins value.An unlimited supply of printable money worksheets for counting US coins and.Free worksheets for counting money. You can limit the total money value to be.If the child recognizes numbers, put the coin value on the outside of the cup, or place one of the coins in the cup.
Free price guide for coins graded by PCGS and NGC coin grading companies.This page offers 30 printable money worksheets with which the student can practice counting coins and matching coins to the value.A paper hundreds chart you can reproduce offers students lots of ways to learn number theory, skip counting and place value.
FREE Coin Value Clip CardsCounting money is a critical functional skill for all students.Learning Coin Values. I attached two of each coin next to the poem, so that my kids can see.
Coin Templates: Create counting templates by cutting out facsimile coins (the ones at Money Instructor are excellent) and pasting them on 5 inch by 8 inch file cards (or any size you find most manageable).
coin values- pennies, nickels, dimes, and quarters-math songCoin Chart, value of coins chart, coins chart for kids, counting money, coins games, counting coins video.Coin Sorting: After the child has succeeded with discrete trial training, or if the child quickly seems to be distinguishing the coins, you can give them practice by sorting coins.Math Operations for Special Education Students in Primary Grades.
First grade Lesson Tens and Ones, Dimes and PenniesSee the most common ancient coinage denominations with this guide to Ancient Roman coinage.They all have the same color border and will be a resource that students can.
The PCGS Price Guide is a comprehensive collection of numismatic coin values featuring current and historic coin prices, indexes, and graphs.


- Poster presentation
Coupling of cardiac index and global end-diastolic volume index: is it mathematical or something else?
Critical Care volume 13, Article number: P221 (2009)
Our goal was to analyse the relationship between the cardiac index (CI) and the global end-diastolic volume index (GEDVI), a volumetric preload parameter measured by the single transpulmonary indicator dilution technique, in a mixed population of intensive care patients. We hypothesized a close mathematical connection underlying observed clinical changes.
An observational study (OTKA T 046538) in the medical–surgical ICU of a teaching hospital. Hemodynamic data from 32 patients (altogether 122 datasets) were included in the analysis using the PiCCO system (Pulsion, Germany). The CI–GEDVI relationship was investigated using a regression analysis between the main components of the equation: GEDVI = CI × (MTt - DSt) (MTt = mean transit time, DSt = downslope time). To illustrate purely mathematical relationships, the theoretical correlation lines were calculated and compared with the measured data. To demonstrate the complex relationship among all three parameters a three-dimensional (3D) presentation was applied.
The 3D presentation resulted in a good fit of the measured values onto the theoretical surface (r = 0.98). In GEDVI–CI and GEDVI–(MTt–DSt) there were aspects of the 3D surface where the correlation was weak (r = 0.35 and 0.34). However, classifying the data according to the ranges of the third parameter, a positive linear regression was observable in each range with high correlation coefficients. In the CI–(MTt–DSt) aspect of the 3D surface the regression was better (r = 0.76), supporting the role of hydrodynamic rules, and the correlation curve crossed the theoretical iso-GEDVI lines, suggesting the effect of the Frank–Starling mechanism.
Our study has demonstrated that there are three mechanisms working at the same time in the relationship between GEDVI and CI. The basic mathematical coupling is modified by hydrodynamic rules and the final relationship is adjusted by physiological factors. The complex analysis revealed that CI and GEDVI are related parameters even in clinical situations. The physiological influences can modify this relationship significantly, however, especially in low ranges of CI. Evaluating the GEDVI we have to consider the CI values because the intravascular volume status depends on the relationship of these two parameters (high GEDVI with low CI – volume overload, the same GEDVI with high CI – normovolaemia).
About this article
Cite this article
Gondos, T., Marjanek, Z. & Halász, G. Coupling of cardiac index and global end-diastolic volume index: is it mathematical or something else?. Crit Care 13 (Suppl 1), P221 (2009). https://doi.org/10.1186/cc7385
- Cardiac Index
- Intensive Care Patient
- Indicator Dilution
- Final Relationship
- Mathematical Connection


New Ideas Color By Number Math Worksheets –
Math convenance gets a bright bang with this adorable multiplication-themed, color-by-number worksheet. Third graders will assignment on their multiplication facts—and assignment up an appetite!—as they breach one-digit multiplication problems and again use the blush cipher to acknowledge a appetizing treat. This worksheet provides a fun breach from blueprint algebraic drills while still allowance acceptance attach bottomward their times tables.
Color By Number Math Worksheets
| Delightful to help my website, within this period I’ll demonstrate regarding New Ideas Color By Number Math Worksheets. And now, here is the very first impression:
What about image preceding? is usually which incredible???. if you think therefore, I’l m teach you a number of impression again beneath:
So, if you wish to have these awesome pictures regarding (New Ideas Color By Number Math Worksheets), simply click save button to store these photos in your personal computer. These are prepared for transfer, if you like and want to take it, just click save logo in the post, and it will be immediately down loaded to your desktop computer.} Lastly if you’d like to find unique and the recent picture related to (New Ideas Color By Number Math Worksheets), please follow us on google plus or book mark this page, we try our best to present you regular up-date with fresh and new shots. We do hope you love staying right here. For most up-dates and recent news about (New Ideas Color By Number Math Worksheets) pictures, please kindly follow us on tweets, path, Instagram and google plus, or you mark this page on bookmark area, We attempt to present you update periodically with fresh and new shots, love your searching, and find the right for you.
Thanks for visiting our website, contentabove (New Ideas Color By Number Math Worksheets) published . Nowadays we are excited to declare that we have discovered a veryinteresting topicto be pointed out, namely (New Ideas Color By Number Math Worksheets) Most people looking for specifics of(New Ideas Color By Number Math Worksheets) and definitely one of them is you, is not it?


The Fight Against Why Is Math Difficult
Let’s examine four job alternatives for teachers who desire to modify careers. On paper, among the goals of iReady is to raise equity, to ensure everyone has access to understanding in mathematics. Line graphs let us see overall trends like an increase or decrease in data with time.
Math makes up a huge portion of our everyday life. Math works best when you comprehend the rules, and be sure to follow them. Mastering math sometimes takes a whole www.uk.grademiners.com/homework-help lot of work, but by means of the right abilities and continuing practice, it doesn’t need to be difficult!
Now, the attrition story isn’t one-size-fits-all for each and every STEM discipline. The relevance of math in the actual world isn’t fully introduced by the majority of teachers. A student would like to know why they’re learning specific math concepts.
The Hidden Secret of Why Is Math Difficult
To find out the average among a set of numbers, students may balance them rather than working with a intricate formula. Present perfect is among the most troublesome components of ESL grammar because both the shape and usage are complicated. You should know the info covered by tests, https://aspirantes.frlp.utn.edu.ar/wings.php?proposal-and-dissertation-help-1500-words but additionally, it is important to study for tests and take them of the correct way.
Place the step-by-step procedure you learn in the above mentioned article with the suggestions and principles it is possible to learn here and you’re going to be well-set to teach your son or daughter in a manner which he or she is able to truly understand. A corresponding deficiency of ability in mathematicsinnumeracyhas received increasing attention in the past few decades. It is simpler to understand the meaning if you examine the examples below.
Mathematical principles and concepts have turned into part of nearly every field of work. It is sensible to me now. Boost your awareness and function to modify your style.
Why Is Math Difficult Explained
After a time, some students might discover the rule about the typical denominator, or what type of pieces the fractions will require split into. This lesson explains basic forms of addition. It is precisely the same with math, you’ve spanish homework help got to keep practicing each day.
The student may need to take a safe seat to re-group. Unlike a lot of different subjects, there isn’t any room for error when it has to do with math. The game asks the child to bring the 2 groups of shoes with each other, and then select the bug with the right number printed on it.
Sometimes there are many answers. It might be useful to develop a maths vocabulary list in your thoughts. It is that some words may be unfamiliar to you.
Ideas, Formulas and Shortcuts for Why Is Math Difficult
The test includes 16 individual assessments. Thus, even though the language processes involved with comprehension and meaning are intact, they can’t be called into play, because they may be accessed only after a word was identified. Sooner or later in your life math will get boring, difficult and irrelevant, and you may believe that this isn’t for you, but do you understand the harshness of existing without math.
Students may block the process when they can’t halve the even integer, or any time the equation gets manageable. One needs to understand what each word or symbol means in order to comprehend the math issue. Therefore a line graph would be the ideal selection for summarizing the provided data.
Chemistry isn’t a class you cram for on the previous moment. From time to time, you can learn a good deal from working through problems with different students. Across the board in every situation, each one of these students had the ability to create considerable gains, Mahoney stated.
Why Is Math Difficult Can Be Fun for Everyone
In that sense, mathematics allows you to open your mind and to understand there is only a single way to address things. The obvious method to approach this challenge is to begin with a drawing. Sometimes problems are difficult to solve because it is challenging to comprehend what’s being asked.


The circumference formula is used to calculate the distance around a circle.
C = 2πr or C = πd
r is the radius and d is the diameter.
The diameter is the longest chord that runs through the center of the circle. The radius is the measure of the distance from the center of the circle to a point on the circle. The diameter is 2 times the measure of the radius. If we want an exact answer, we use π. If we want to approximate, we use 3.14.
Find the circumference of a circle with a radius of 5 centimeters.
Find variables necessary.
Radius, r = 5cm
Substitute into formula and multiply.
C = 2πr
C = 2π(5)
C = 10π
The circumference is 10π centimeters.
For an approximate answer, substitute 3.14 for π.
The circumference is about 31.4 centimeters.
Find the circumference of a circle with a diameter of 16 inches.
Find the variables
Since diameter is given, we will use the second formula.
C = πd
C = π . 16 = 16π
The circumference is 16π inches.
The circumference is about 50.24 inches.


I first came across the Birthday Problem in my first few days of my first year of secondary school in London [that would be 6th grade for my US readers]. My mathematics teacher at the time realized the need to discuss abstract problems in concrete terms, especially statistics and probability. So, he wowed many of us — in a class of close to 30 kids — by firmly stating that there was a better than even chance that two of us shared the same birthday. In a class of 30, the actual probability is 60 percent, and rises to close to 100 percent is a group of only 60.
Startlingly, two in our class did indeed share the same birthday. How could that be possible, I wondered?
Well, the answer is grounded in the simple probability of large populations. But, it is also colored by our selective biases to remember “remarkable” coincidences and to ignore the much, much larger number of instances where there is no coincidence at all.
From the Washington Post.
Mathematician Joseph Mazur was in the back of a van snaking through the mountains of Sardinia when he heard one of his favorite coincidence stories. The driver, an Italian language teacher named Francesco, told of meeting a woman named Manuela who had come to study at his school. Francesco and Manuela met for the first time in a hotel lobby, and then went to have coffee.
They spoke for an hour, getting acquainted, before the uncomfortable truth came out. Noting Manuela’s nearly perfect Italian, Francesco finally asked why she decided to come to his school.
“She said, ‘Italian? What are you talk about? I’m not here to learn Italian,’” Mazur relates. “And then it dawned on both of them that she was the wrong Manuela and he was the wrong Francesco.” They returned to the hotel lobby where they had met to find a different Francesco offering a different Manuela a job she didn’t want or expect.
The tale is one of the many stories that populate Mazur’s new book, “Fluke,” in which he explores the probability of coincidences.
Read the entire article here.
Image: The computed probability of at least two people sharing a birthday versus the number of people. Courtesy: Rajkiran g / Wikipedia. CC BY-SA 3.0.


TheRavenDog wrote:Am I confused?
Does not +/⍳10 mean "apply the addition operator to all elements from 10 to 1"
1+2+3+4+5+6+7+8+9+10 = 55.
But NARS2000 returns 50.
TheRavenDog wrote:Thank you!
Incidentally, I wasn't trying be snarky when I asked "Am I confused?": I'm very new to APL and I'm often confused.
But I'm learning... slowly.
Users browsing this forum: No registered users and 4 guests


STEM and The Simple Mysteries of Life
July 14th, 2013
Everywhere I look, I see math and science – even in the most ordinary places, like pouring a glass of soda or taking a shower.
That’s precisely what makes the STEM disciplines so amazingly awesome. Even the simplest situations can give rise to incredible complexity and surprising conclusions. Moreover, the exact same math and science that describes a simple situation (like why the curtain keeps creeping into your shower) can also apply to a really complex situation (like why supersonic jets can skim along the upper reaches of our atmosphere). In both cases, Bernoulli’s Principle is at work.
Over 400 years ago, Isaac Newton showed that the laws of nature which govern the sun, moon, and stars (the complex stuff) also govern apples, baseballs, and bullets (the simple stuff) here on earth. The universality of the laws of nature should continue to surprise and amaze us every day.
One of the reasons that I love making STEMbite videos is that we can examine the science and math of simple, everyday situations. But that doesn’t make our conclusions simple. Instead, the concepts learned in these deceivingly simple videos give insights into the profound nature of the universe itself. Trust me, I know – I have a masters degree in astrophysics!
When you want to see the complexity of the distant universe, look for something simple and familiar nearby.
For more STEMbite videos, visit youtube.com/stembite and subscribe.
Comments are closed.


When you use your credit card, you take a loan on the credit facility. You need to pay back this amount within the due date set by the card issuer. Exceeding your window of bill payment can result in interest on this loan.
What it's all about
Credit cards give you the option to pay just the minimum amount instead of your entire bill amount. The unpaid amount is carried forward with an added daily interest charge till it's cleared. It's best to clear your bills in full to avoid this interest
Avoid the Minimum
The average rate of interest on the outstanding balance can vary from around 2% to 4% per month. This essentially amounts to 24% to 48% per annum in India. Accurate figures depend on your card issuer and the type of card you have.
Credit card interest rate
Interest charges =
(Outstanding amount x Interest rate p.a. X Number of days from the transaction date) ÷ 365


Hey Would you have a look at this one please: ( I think conditional probability but not sure how to start with it )
Calculate the probability that on a randomly chosen day Adam takes chess classes and maths classes.
– on 60% of the days, Adam’s takes chess classes
Save your time - order a paper!
Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlinesOrder Paper Now
– of the days that he takes chess classes, on 45% of theses days he also has maths classes


OFFICIALLY LICENSED NUMBERBLOCKS TOYS: From the friendly TV series Numberblocks, an award winning show from BBC, the Numberblocks crew brings math finding out to life with the officially licensed MathLink Cubes Numberblocks 1-10 Activity Set!
NUMBERBLOCKS MEETS MATH LINKING CUBES: Youngsters see how numbers in reality work as they build their very own Numberblocks from One to Ten, by connecting them with classic MathLink cubes.
PERFECT COUNTING TOYS FOR KIDS AGES 3-5: Every connecting cubes set can build the friendly characters from Numberblocks so you’ll be able to follow together with the show, or play by yourself!
MATH COUNTERS THAT PLAY ALONG WITH NUMBERBLOCKS EPISODES: Every of the 30 Numberblocks math finding out activities are linked to the episodes on TV, and will also be followed along the use of the Numberblocks counting cubes.
MATH TOYS WITH ENDLESS NUMBER FUN: Every set includes 100 MathLink Numberblocks Cubes, 59 faceplates, 54 stickers, 11 Numberlings, 11 character cards, 15 double-sided Write ‘N’ Wipe Activity Cards, 1 stand for zero and 1 activity guide.


College Name – COLLEGE OF APPLIED SCIENCE
5. College of Applied Science (Unaided), Ayalur, Palakkad – 678 510 (Estd: 2012-13)
Course Offered & Seat Intake
1. Electronics with Mathematics and Computer Science (Complementary) 24
2. Computer Science with Mathematics and Electronics (Complementary) 24
B.Com Computer Application 40
For any queries (or) give your valuable suggestions on above topic, through below comment session.


Order before 11th October for
Early Bird Discount with an additional 20% OFF!
£11 £8.80 per pack of 10 papers £12 £9.60 per pack of 10 papers after EBD
The Mathematical Association runs the Primary Maths Challenge and the PMC website http://www.primarymathschallenge.org.uk is hosted as a bolt-on to https://www.m-a.org.uk and all PMC orders are handled via the MA's secure content management system. As such the MA's privacy and cookie policies are also applicable to the PMC website.


Mr Oded KaritiMember since: 12/12/2016 - 12:53
Oded Kariti is an American independent researcher affiliated with the San Diego State University. Kariti was born in Ohio, in 1975. He has been working in the field of Mathematics and Physics at Princeton University Kariti. He is recognized and awarded for his work in the scientific filed. At New York Queens University Oded Kariti created a team of fellow researchers that has has published many scientific publications.


Linear time and circular motion
Another question by henk:
“Why is time linearized although clocks using circular motion are used to construct a linear time? If one says that now waves are used I remark that a wave can be visualized easily by circular motion. Anyhow, it makes calculations easier and it can be used to construct a fourth dimension which makes things rather complicated. So, my question remains.”
[GB: henk, again, time is motion. Paths taken by microcosms in motion can have an infinite number of geometric shapes in relation to other microcosms. Linear motion (or linear time) is only an idealization. In his First Law of Motion, Newton imagined a body traveling through absolute space in a straight line. In actuality, the rotation and revolution of Earth actually makes that impossible. Any point on Earth follows a nearly circular path. In spite of this, when we measure the distance between two microcosms on Earth, we find the straight-line distance to be more or less constant relative to each other. However, if the distance is great, we need to take the curvature of Earth into account.
None of this makes any difference in understanding time. The velocity of a race car is the same whether it is traveling around a race track or traveling in a straight line. One hundred kilometers per hour is the same in either case. The “hour,” of course, is yet another measurement, which we have established by convention, even though Earth is not a very good time keeper—there are much better ones, cesium-133, for instance. All clocks, like all motions in the infinite universe, are relative to each other.
I don’t know what you mean by saying that wave motion makes understanding time any easier or that it makes calculations easier or that it leads to a fourth dimension. Things have only three dimensions, xyz, and time is not a thing. Time is motion, and does not exist—it occurs. Of course, in mathematics you can imagine as many “dimensions” as you wish. Nature, however, has only three.
Again, remember that universal time is the motion of all things in the universe with respect to all other things. None of those motions in the infinite universe is reversible, per the Seventh Assumption of Science, irreversibility (All processes are irreversible). That is why the “arrow of time” only goes one way. None of those infinite microcosms can ever return to the spacetime position it had before because its relationship to all the other microcosms keeps changing. As mentioned last week, all microcosms must be in continual motion in order to exist.]


最高學歷 Highest Academic Qualification:
碩士 / 研究生 Master/ Postgraduate
自我簡介 / 備註 Self Introduction/ Remark:
I am working as a lecturer and have worked for secondary school teacher for 5 years with a master degree in Mathematics from CUHK. I taught Mathematics, I.T. and Science in English. I am so experienced that I have tutored a number of students ranging from P1 to S6 from different schools including international schools in the past 10 years and significant improvements of the students have been identified. Also, I am patient, sincere with a strong sense of responsibility. Most importantly, I understand the needs of students and how to help them become capable young children.


During this year, we will address 5 modules.
1. Relationships Between Quantities and Reasoning with Equations
2. Linear and Exponential Relationships
3. Descriptive Statistics
4. Expressions and Equations
5. Quadratic Functions and Modeling
Hopefully we will use as many of the 8 Mathematical Standards of Practice as possible for each module.
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.


Philosophy of Science
Philosophy of Mathematics
Department of Philosophy, Western University
Philippos Papayannopoulos is currently a doctoral student in the Philosophy Department and a Resident member of the Rotman Institute of Philosophy, at the University of Western Ontario. His interests mainly lie in the general philosophy of science and the philosophy of mathematics. More specifically, he is interested in the applicability of mathematics to the natural sciences and its contributions to our theories. He is also interested in the (possible) consequences of the indispensability of mathematics to our theories for the ontological status of mathematical objects.
Philippos has received a B.Sc./M.Sc. degree (five-year diploma) in Applied Mathematics and Physics from the National Technical University of Athens (Greece), with a specialization in the physics of applications. He has also got a master’s degree in the History and Philosophy of Science from the National University of Athens.
My interests fall primarily in the role of mathematics in the natural sciences. This is a philosophical issue which has recently drawn serious attention. In general, speaking of such a role one would refer to contributions regarding the formulation, the confirmation and the discovery of scientific theories, the deductive reasoning in them, or the unification, prediction and explanation of empirical facts by means of them.
I am mainly interested in two of these contributions; namely, contributions to confirmation of our scientific representations and to explanations of physical phenomena (do mathematical explanations of physical phenomena constitute cases of genuine scientific explanations?).
I am also interested in the philosophical accounts of the applicability of mathematics that have been provided so far.
Finally, I have a long-standing interest in the ontology of the mathematical objects and the potential consequences for their ontological status that their indispensability to our best theories has. Indispensability arguments in the philosophy of mathematics are a significant part of my research.
Mathematical Explanations of Physical Phenomena. (University of Athens. Supervisor: Stathis Psillos, UWO, University of Athens)
Environmental Ethics: The Deep Ecology Movement. (National Technical University of Athens. Supervisor: V. Karasmanis, NTUA)
Introduction to Logic, 2014-2015 Fall/Winter/Fall terms, Western University, (TA)