4 edition of Front tracking and two dimensional Riemann problems. found in the catalog.
1984 by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English
|Statement||By J. Glimm, C. Klingenberg, O. McBryan, B. Plohr, D. Sharp, S. Yaniv.|
|Contributions||Klingenberg, C., McBryan, O., Plohr, B., Sharp, D., Yaniv, S.|
|The Physical Object|
|Number of Pages||36|
Li, Stability and non-relativistic limits of rarefaction wave to the 1-D piston problem for the relativistic Euler equations Z. When the pressure of the upstream supersonic flow is larger than that of the quiescent gas, there appears a strong rarefaction wave to rarefy the supersonic gas. The techniques and ideas developed here will be useful for other nonlinear problems involving similar difficulties. Gauss recommended that Riemann give up his theological work and enter the mathematical field; after getting his father's approval, Riemann transferred to the University of Berlin in DingExistence and stability of rarefaction wave to 1-D piston problem for the relativistic full Euler equations, J.
This is the code associated with J. The main ingredients are careful analysis of wave interactions and construction of suitable Glimm functional, to overcome the difficulty that the strong rarefaction wave has a large total variation. Since the solution of the Cauchy problem usually requires the solution of a large number of Riemann problems, the presence of a general and highly efficient solver of Riemann is topical. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Author s :Helge Holden; Nils H.
This is the code associated with J. Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system. Google Scholar  M. Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem.
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On the other hand, there has been no rigorous mathematical result on the global existence and structural stability of shock reflection, including the case of potential flow which is widely used in aerodynamics.
Front tracking and two dimensional Riemann problems. book the second problem, detonations propagating down a compliantly confined pencil-shaped configuration are computed for a variety of cone angles of the tapered section.
The present investigation continues to focus on the potential for detonation failure within the ignition-and-growth IG model, but now for a compliant confinement of the explosive.
Holden and N. In the first problem, the corner-turning configuration is re-examined, and it is shown that in the matter of detonation failure, the absence of rigid confinement does not affect the outcome in a material way; sustained dead zones continue to elude the model. These prominent features of fluid dynamics present formidable challenges to numerical simulations of their mathematical Front tracking and two dimensional Riemann problems.
book. Keywords: Riemann problem, three-phase flow, filtration. ZhaoStability of transonic jet with strong shock in two-dimensional steady compressible Euler flows, J. Ding, Stability of rarefaction wave to the 1-D piston problem for exothermically reacting Euler equations Calc.
Google Scholar [KZ] Klingenberg, Zhu, Stability of difference approximations for initial boundary value problems applied to two dimensional front tracking, Proc. Google Scholar  G. Numerical results are presented for several typical two-dimensional interface problems, including flows with surface tension.
Riemann refused to publish incomplete work, and some deep insights may have been lost forever. The essentially nonlinear nature of these waves calls for nonlinear methods.
The main ingredients are careful analysis of wave interactions and construction of suitable Glimm functional, to overcome the difficulty that the strong rarefaction wave has a large total variation. His teachers were amazed by his adept ability to perform complicated mathematical operations, in which he often outstripped his instructor's knowledge.
Jump to navigation Jump to search A Riemann problem, named after Bernhard Riemannis a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest.
The statement of the Riemann problem is presented. Google Scholar Copyright information. Most of the pre-existing solutions of the Riemann problem with respect to three-phase filtration were limited to the consideration of simplified functions of relative permeability, in which the relative permeability for each phase depends only on the saturation of this phase.
An example of such a solver is described in , which is also based on the use of the predictor-corrector strategy, the algorithm of which is as follows: 1. Bressan, P. Problems, ed. The interfaces are represented by a collection of element boundaries and their position is updated using an arbitrary Lagrangian—Eulerian method.
Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem. YuanWell-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows, Z.
The algorithm for solving the Riemann problem is considered in detail in the article. Google Scholar  M.In this paper we describe a front-tracking algorithm for modeling the propagation of discontinuous waves in two space dimensions.
The algorithm uses a volume-of-fluid representation of the front in which the local frontal geometry is reconstructed from the state information on either side of the discontinuity and the Rankine-Hugoniot relations.
Abstract. When a plane shock hits a wedge head on, it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward Front tracking and two dimensional Riemann problems.
book 42comusa.com by: We study supersonic flow past a convex corner which is surrounded by quiescent gas. When the pressure of the upstream supersonic flow is larger than that of the quiescent gas, there appears a strong rarefaction wave to rarefy the supersonic gas.
Meanwhile, a transonic characteristic discontinuity appears to separate the supersonic flow behind the rarefaction wave from the static 42comusa.com: Min Ding, Hairong Yuan.Riemann solver. The analogy pdf to the two-dimensional HLLC Riemann solver.
A study of the two-dimensional Riemann problems from Schulz-Rinne, Collins and Glaz  shows that the region of strong interaction can give rise to a rich array of flow structures.
However, a.A discontinuous Galerkin front tracking method for two-phase flows with surface tension Download pdf results are presented for several typical two-dimensional interface problems, including flows with surface tension.
Riemann problems at the interface have to be solved to compute the numerical flux and the interface motion taking into Cited by: submitted Volker Springel, Christian Klingenberg, Rüdiger Pakmor, Ebook Guillet, ebook Praveen Chandrashekar: “Towards exascale simulations of the magnetic universe”, submitted () view PDF Kanbar, Touma, Klingenberg: “Well-balanced Central Schemes for the One and Two dimensional Euler Systems with Gravity”, submitted () view PDF A.
Thomann, M. Zenk, G. Puppo, C. Klingenberg.


hp means horse power, and KW means kilowatt.
mm means millimetre, and cm means centimetre. 1" means 1 inch.
nm means nanometre, and um means micron.
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g means gram, and oz means ounce.
lb means pound, and KGS means kilograms
MT means metric ton.
1km² = 1 000 000M²
1hm² = 1hectare = 1ha = 100are = 10000M² = 15mu (mou)
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Thursday, June 4, 2009
The Effects of Abacus Learning
It has been discovered that abacus study not only improves the ability to calculate both on the abacus and mentally, but also provides a beneficial ripple effect on other disciplines. The first effect is improvement of numericaemory. The second is improvement of memory in spatial arrangement. The third is progress in solving general mathematical problems taught in elementary school, including the four fundamental arithmetic calculations and word problems.
Abacus students are found to be superior in the accuracy of their memory and the number of digits they are able to memorize when compared with non-abacus learners of the same age. This is because abacus students place numbers on the abacus image in their brain as they mentally calculate with the abacus method.
Findings from an investigation with third grade students show that about a year of study at an abacus school enabled the learners to score higher than non-abacus learners on certain mathematical problems.
On the higher level, advanced abacus learners were found to have received even more desirable effects in solving certain types of mathematical problems compared to non-abacus learners. In addition, a positive effect was seen, not only in mathematical problems with integers and decimals, but also in those with fractions, especially when higher level thinking is required to solve them.
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Converting Oven and Instant-Read Thermometer Temperatures
Guidelines for converting Fahrenheit degrees to Celsius and Gas Mark.
Refer to our oven temperature table to convert Fahrenheit degrees to Celsius and Gas Mark (Imperial):
|FAHRENHEIT||CELSIUS||GAS MARK (IMPERIAL)|
We include doneness temperatures in many of our recipes, such as those for poultry, meat, and bread. We recommend an instant-read thermometer for the job. For temperatures not represented in the chart above, use this simple formula:
Subtract 32 degrees from the Fahrenheit reading, then divide the result by 1.8 to find the Celsius reading.
“Roast until the juice runs clear when the chicken is cut with a paring knife or the thickest part of the breast registers 160 degrees on an instant-read thermometer.” To convert:
160˚ F - 32 = 128˚
128˚ ÷ 1.8 = 71˚ C (rounded down from 71.11)


Bcom (bachelor of commerce) among all the career options, the topper for commerce without maths is the 3 years long undergraduate program, bachelor of commerce.
Chartered accountancy is one of the most popular career options in commerce without maths. A great thing about this career choice is that you dont need to study maths in the 12th standard to pursue it. As maths isnt imperative for ca, its an excellent option for commerce students who didnt pick maths.
When it comes to commerce students without maths, there are numerous highest salary careers to choose from. You can take up specialisations like chartered accountancy, digital marketing, business research, entrepreneurship, etc. Which dont require maths with commerce and can earn up lucrative packages.
career options after 12th commerce without maths career options without maths sunil adhikari - youtube.
here, ive listed down some of the best courses after 12th commerce without mathematics subject. This stream gives students access to various sectors such as management, law, accountancy, cost accounting, banking, insurance etc.


Addition is at the heart of maths. If your child enjoys adding they will have cleared a key hurdle in their long journey through maths. Learn to add with Addition Tables. It has been specially designed to help young children learn by teaching themselves to add then practice what they have learned before testing themselves. It is another App in Unit 11’s popular Maths can be fun series.
The learning includes spoken addition tables from 1 to 10 which helps with memory learning as well as with number pattern development. This is then supported by an automated number line which indicates the result of any addition. There is also a traditional counter mechanism which has been enhanced to help add the counters. Development testing showed these mechanisms were very popular and young children quickly understood how to use them.
Once enough learning has been done the practice and tests can be used to show how much has been learnt. Counters, which count aloud when tapped, are included for all practices and tests.
Other features include:
- Set the maximum counting limit to 10 or 20
- Set the number of practice questions
- Choose your favourite counter
- Choose from 4 levels of testing for each addition table
- Test menu uses coloured buttons to show attainment level
Different approaches have been included for practice mode and testing to suit a wide range of ages and abilities including:
- Multiple choice (tap correct answer)
- Multiple choice (drag answers into place)
- Keyboard (type in the correct answer)
Choose your cartoon character and compete against a range of characters in a maths race.
Shopkeeper+ has been specially designed to add fun to maths. Using this App children will learn to count objects and add numbers.
Using this App children will learn to take away, beginning with taking away visible coins, and progressing to taking away numbers (up to 10 – 10).


But, if you want to find the next prime number, that seems more difficult. One approach would be to simply double the starting number, and then scan backwards to find the prime number right after the starting number - this should work because Bertrand's postulate guarentees there will be a prime number between n and 2n for all values of n ...
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And the Number that we inserted is 11. So, the condition is True, which means Prime Number. So, 11 is a prime number. C Program to Find Prime Number Using While Loop. This program for prime numbers allows the user to enter any integer value. Next, this program will check a number is a Prime number or not using While Loop.
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Given two numbers L and R, the task is to find the prime numbers between L and R.. Examples: Input: L = 1, R = 10 Output: 2 3 5 7 Explanation: Prime number between the 1 and 10 are 2, 3, 5, and 7 Input: L = 30, R = 40 Output: 31 37
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The nearest prime number can be greater than or less than the given number.So the program has two loops which check the difference of prime number from the given number and whichever difference is the least, it prints that number.If there are two prime numbers at same difference then it prints both the prime numbers.
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A prime number is a whole number greater than 1 whose only factors are 1 and itself.A factor is a whole numbers that can be divided evenly into another number.The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. C++ Code:
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C Program to find Sum of Prime Numbers from 1 to N. Instead of adding prime numbers from 1 to 100, you can allow the user to decide the minimum and maximum values. This program allows the user to enter Minimum and Maximum values. Next, this C program finds the sum of prime numbers between Minimum and Maximum values using For Loop.
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17 is a prime number 20 is not a prime number. The function isPrime() is used to find out if a number is prime or not. There is a loop that runs from 2 to half of n, where n is the number to be determined. Each of the values of the loop divide n. If the remainder of this division is 0, that means n is divisible by a number, not one or itself.
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The problem is as follows. Input: An integer n Output: The smallest prime bigger than n. The challenge is to give the fastest code possible to do this. I will test the code on values starting at size roughly 10^8 10^200 and doubling in size until it takes more than one minute 10 seconds on my computer.. The winning code will find the next prime for the largest input size.
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Java program to check for prime and find next Prime in Java Java Object Oriented Programming Programming Any whole number which is greater than 1 and has only two factors that is 1 and the number itself, is called a prime number.
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Nov 19, 2018 · the number 5, which can only be divided by 1 and 5 IS a prime number. the same goes for the number 13, 17 and 19, which ARE prime numbers. Integers are just numbers that don’t have decimal points.
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Apr 26, 2017 · Hi Guys, Play this Video in HD Here i explained about how to display Next Prime number if users enter any number. suppose if i enter number 8 output 11.
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Any whole number which is greater than 1 and has only two factors that is 1 and the number itself, is called a prime number. Other than these two number it has no positive divisor. For example − 7 = 1 × 7 Few prime number are − 1, 2, 3, 5 , 7, 11 etc. Algorithm. Algorithm of this program is very easy −
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My questions are how to find the nth prime number? I have figured out how to find a list prime numbers. I'm just stuck as for being able to change my code to only print out the, say, 15th, or 500th prime not every previous prime as well. If you can print the first 500 prime numbers, you should be ...


How Many Quarts in a Gallon?
During my childhood, I was always confused between quarts and gallon. I always ask my mom how many quarts are in a gallon? and the answer was the same I already told you this yesterday. And the funniest things happen when some guest came to the house and ask me how many quarts in a gallon? and I look at my MoM.
I made this simple handy printable chart which will help you to convert quarts to gallons.
What is Gallon?
There are 4 quarts in a gallon, whenever you want to convert gallons to quarts just multiply the gallon value by 4.


House Edge and Progressive Slots
Casino games are probably one of the most famous game variants being played today. These games may also be featured in most prominent venues: casinos, pubs, party halls, and sports clubs. In here, you may be offered guides on the favorite casino games being played in this specific venue. These are:
Slots are one of the best casino games being played in the world. It’s been there from the time when slots were first invented. People prefer to play in slots because of its exciting sound that is connected with it. If you need to experience this exciting sound when you place your bet, then make certain you have a very good computer with the speed of a broadband connection. In addition, you also have to have the right time management techniques to help you have maximum profits.
The casino games with lowest house edges are called minimum house edges (MHE). This basically implies that in every single game, the casino pays out approximately exactly the same amount, regardless of how much you bet or how long it takes that you can complete the game. In the event of multi-table progressive slots, there is a slight advantage for the casino. It is because multi-table progressive slots have significantly more numbers and also multi-deck progressive slots have more symbols in it. Hence, with multi-tablers, a casino can potentially earn more by taking into consideration the average time of all players in a game. For example, with three progressive jackpots in a row, the casino will earn approximately twice the total amount if every player in the game hits the jackpot twice.
One of many casino games that has the cheapest house edges may be the standard deviation. Standard deviation can be used in the calculation of expected losses (generally known as expected payouts). The typical deviation tells you how random the outcomes become. There are two types of standard deviation, the arithmetic mean and the binomial mean. It is possible to learn more about expected losses by consulting with a professional statistician.
Skill factor is an important element of casino games and something of the factors that could affect your luck in a casino game. In accordance with studies, the skill factor may be the main reason why casino games occur frequently. Therefore, to be able to boost your odds in winning, you have to know 더킹 바카라 how winning works and you must also understand the probability of different casino games. It is important to remember that chance is probably the elements of gambling. Therefore, you should not think that because you do not see your winning streak very often, it is due to pure luck.
Another important factor in casino gaming is the amount of money wagered about the same game. There is a widely accepted gambling theory that states that since online casinos offer progressive slots that are based on a number generator, the more folks that wager on that progressive slot the higher the chances of winning in that game. This may seem contrary to the basics of fair play but this can be a reason why online casinos are considered as safe places to gamble. Since there are various casinos offering different casino games, there is absolutely no problem to find one which has progressive slots.
One of the other important components that needs to be considered in deciding which casino games to play is the house edge and the casino games’ rate of return. The home edge may be the percentage of the amount wagered by the house on each individual game. The casino game’s rate of return may be the maximum amount of money that may be won by the house at that time period that the game is being played. In a game with a high house edge, the casino games have a higher risk of losing more income than the player can win from the start. However, the casino games with a low house edge to enable the ball player to collect a modest profit. The simplest way to determine the casino game’s rate of return is to calculate the total amount wagered per winning session.
When it comes to calculating the casino games’ rate of return, a typical deviation is used. A standard deviation, in statistics, is really a sample point that’s representative of several other samples. For example, the mean of the data from the last 30 years in america is 3.5 percent. Now, if we take the sample of thirty years, there are undoubtedly many different fluctuations that might have occurred along the way and hence the range will be much wider compared to the value of the average. This is one way the standard deviation can be used in computing the casino’s house edge and hence the casinos’ margin of safety.


The National Band Association is pleased to announce that Gradients by Andrew David Perkins is the winning composition of the 2018 NBA/Alfred Young Band Composition Contest. Mr. Perkins says the following about his piece:
“In physics, gradients can describe an increase or decrease in the magnitude of a property (e.g., temperature, pressure, or concentration) observed in passing from one point or moment to another. In mathematics, the gradient is a synonym for slope. It points in the direction of the greatest rate of increase of a function, and its magnitude is the slope of the graph in that direction. Gradients for Concert Band is a synthesis of these ideas, designed for developing musicians. The gradient concept is expressed through dynamics, cluster chords (including a simple 4 mallet marimba part) and extensive use of the melodic minor scale.”
To learn more about Gradients and composer Andrew David Perkins, visit his website at www.andrewdavidperkins.com.


Maybe I'm not as good at math as I thought. How can I get only 7000 visits from over 10,000 keywords? See image below from Google Analytics.
Okay, so after I started posting this, I figured out what happened. On the above image, I had it set to compare to a previous period. I think it counted the keywords from both periods. Once I unchecked the "compare to past" box, it came down to 5690 keywords. I still suspect GA is not counting right, but at least it fits better now.


Sicyon Pro calculator v.4 61
Sicyon is all-in-one scientific calculator for every student and professor, researcher and developer. The core of Sicyon is an expression (VBScript/JScript) calculator with features as: estimate a function using variables, user-defined functions and Sicyon objects; multi-plot/tabulate a function; solve 1-6 equations, minimums, maximums and definite integral of 2D/3D function; fit a function over data set; sophisticated units converter;...
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Sicyon Pro calculator v.4 61 Copyright
Shareware Junction periodically updates pricing and software information of Sicyon Pro calculator v.4 61 full version from the publisher using pad file and submit from users. Software piracy is theft, Using crack, password, serial numbers, registration codes, key generators, cd key, hacks is illegal and prevent future development of Sicyon Pro calculator v.4 61 Edition. Download links are directly from our publisher sites. Links Sicyon Pro calculator v.4 61 from Bittorrent, mediafire.com, uploadfiles.com, hotfiles.com rapidshare.com, megaupload.com, netload.in, storage.to, depositfiles.com and other files hosting are not allowed. The download file is obtained directly from the publisher, not from any Peer to Peer file sharing applications such as Shareaza, Limewire, Kazaa, Imesh, eDonkey, eMule, Ares, BearShare, Overnet, Morpheus, BitTorrent Azureus and WinMX.
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Crazy Paper Cylinder
Here you will find a wide range of free printable nets for a range of 3d shapes for display or to support Math learning. The Math Salamanders have a large bank of free printable shape clipart. Each of the printable shape sheets is available either in color or black and white.
Using this shape clipart will help your child understand to recognize shapes and learn about the different properties that shapes have. On the sheets with multiple shapes, we have shown the shapes in different sizes and orientations so that your child will recognize variations of the same shape, and start noticing the properties the same shapes all have.
The sheets can be used as part of a Math display, as flashcards, or as printable coloring sheets. The following printables contain nets of common 3D shapes that your child should know.
Each net sheet is available both with and without tabs to aid sticking together. Here you will find our range of printable 3D Shape Sheets, including spheres, cones, cubes, pyramids and prisms. The following 3d geometric shapes printables contain pictures of common 3D shapes that your child should know. Each sheet is available in both a color version and a black and white version if you wish to use as a coloring sheet. At 3rd grade the focus turns to identifying properties such as faces, edges and vertices.
We also start investigating the links between 3d shapes and their nets. Need help with printing or saving? Follow these 3 easy steps to get your worksheets printed out perfectly! Return to Geometry Section. The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page. Math Salamanders Copyright Information. We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step! Take a look at all our latest resources! Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child.A cylinder is a geometric surface formed by the points at a fixed distance from a given straight line, forming what's called the axis of a cylinder.
The solid surface of the two bases joined by the height that's formed by two perpendicular lines to the axis, is also called a cylinder. Below, we'll show you step-by-step, how to make a cylinder out of cardboard. Fold along all the lines of the template. Try assembling the cylinder before gluing it, to be sure where each piece goes. You almost have the tube of the cylinder done!
Now, put glue on the small pieces, the trianglesto paste one of the bases. Now, put glue on the remaining triangles and paste them to the other base of the cylinder.Cylinder Net
To help it stick better, turn the cylinder a little, putting slight pressure on the triangles. Your cylinder is all done! At oenHOWTO we'll also show you how to make a cube and several other shapes such as a pyramid or a hexagonal based prism.
You can also learn how to make a cone. Share on:. By Mary Smith. Updated: January 16, You may also be interested in: How to Make a Cube out of Cardboard. Write a comment about How to Make a Cylinder out of Cardboard. How to Make a Cylinder out of Cardboard.Year 8 Interactive Maths - Second Edition.
If one end of a line is rotated about a second fixed line while keeping the line's other end fixed, then a cone is formed. The point about which the line is rotated is called the vertex and the base of the cone is a circle. A cone is said to be right when the vertex is directly above the centre of the base.
The net of a three-dimensional object is a representation of its faces in two dimensions. If a line is rotated about a second fixed line while keeping both lines parallelthen a cylinder is formed.
The net of a cylinder consists of three parts:. All rights reserved. If you experience difficulties when using this Website, tell us through the feedback form or by phoning the contact telephone number. Cones and Cylinders. Cones and cylinders have curved surfaces as shown below. So, they are not prisms or polyhedra. Cones If one end of a line is rotated about a second fixed line while keeping the line's other end fixed, then a cone is formed.
The net of a cone consists of the following two parts: a circle that gives the base; and a sector that gives the curved surface Cylinders If a line is rotated about a second fixed line while keeping both lines parallelthen a cylinder is formed. Note: The fixed line about which the line is rotated is called the axis of symmetry. The base of the cylinder is a circle and the top of the cylinder is also a circle. A cylinder is said to be right when the line joining the centre of the base and the centre of the top is perpendicular to the base of the cylinder.
The cross-sections parallel to the base are circles and are all identical. The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface. Key Terms conesvertex of a coneright conenetsnet of a conecylinderscylinder's axis of symmetryright cylindernet of a cylinder.Pamela Martin has been writing since She has written newsletter articles and curricula-related materials.
She also writes about teaching and crafts. Knowing that a cylinder is a three-dimensional geometric figure with same-sized, parallel bases might not be necessary in your day-to-day life. However, when attempting to create this shape from a sheet of paper, the aforementioned characteristics are vitally important.
Despite the tricky composition, cylinders are relatively easy to create -- oftentimes the hardest part of the process is deciding the size of the cylinder and the color of your paper. Measure the paper and cut it to the desired dimension, as needed.
For example, cut your paper so two sides are 6 inches long for a 6-inch cylinder. If you want a inch or a 9-inch tall construction, you won't have to modify a standard-sized sheet of craft paper.
Place small tabs of tape on one end of the paper, with the sticky side facing up. The tape goes on the sides perpendicular to those you measured for the height. Fold 1-inch tape tabs in half. Place them inside the open cylinder, with the fold on the paper edge and the extra part of the tab facing the inside of the cylinder. If your paper is considerably wider than the desired diameter, you can cut the sheet down at the same time that you measure and cut for the height.
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Step 1. Determine the height you want for your cylinder. Step 2. Step 3. Step 4.
How to Make a Cylinder Out of a Sheet of Paper
Roll the paper until the cylinder is the desired diameter. Press the tape tabs to the roll. Block Those Bases. Make an open cylinder. Cut two circles with the same diameter as the cylinder. Press one of the circles onto the tape tabs. Repeat at the other end of the cylinder.The PowerPoint template creates a simple slide design.
It uses flat vectors for PowerPoint. Thus, users are able to adjust them to their needs. The free presentation slides display 6-steps cylinder diagram. The individual slide contains an inner cylinder graphic with the specific steps.
While the number option has thin lines connected to the cylinder diagram. It looks almost a flashlight metaphor in which the light source illuminates forming the six step process. The shapes, lines, numbers, and texts are standard vectors. The users can freely manage the slides according to their purpose. It is awesome to represent sequential events, steps, and thus processes requiring a linear approach.
For example, the free cylinder diagram is best to represent 6-Step to a Successful Business Launch. Free download templates with a hundred of designs. While new presentation templates are added weekly to the free gallery. The free users can find slides for business, marketing, finance, and more useful charts and diagrams.
Check also premium templates for advanced options. Modern Aspect Ratio. Instant Access and Download. New Templates every week. Take the most of every platform using the tool you like. Open in Google Slides. Europe Africa Asia Oceania. Tables Comparison Tables Creative Layouts. Item FFFree printable template for making a basic cone shape. Create a paper cone for math activities or decorate it into a hat, treat holder, or other cone-shaped craft projects.
Open the printable file above by clicking the image or the link below the image. You will need a PDF reader to view the file. Print out the file on A4 or Letter size cardstock. The template makes a cone with a radius of about 7. If you need a larger cone, have the print-out enlarged in a copy center.
Download Don’s Hydraulic Calculator Cheat Sheet!
You can also try making a cone from scratch following our instructions for crafting a basic cone hat. Cone Template. Share Tweet Pin it. Instructions 1 Open the printable file above by clicking the image or the link below the image.
Leave out the tab bordered with a dashed line. These printables are for personal and non-commercial use only. Do not republish, upload, or alter the PDF files. To feature or share these printables, please provide a link to the webpage containing the PDF. Crafts You Can Make. Share: Share Tweet Pin it. You Might Also Like. Top of Page.September 21, By Valerie Mcclintick 5 Comments.
Cut your nets out carefully, the tabs are in light gray and can be difficult to see on the colored paper, so go slow! Crease all your folds.
Use a glue stick on the tabs for best results. Print your set of Geometry Nets Here. Find more Math Printables and Manipulatives here. Hello, I am currently a student teacher trying to find a way to teach finding 2D shapes within 3D prisms. Do you think 2nd graders would be capable of creating these? I am being observed for this lesson and would hate for the students to struggle with this. Thanks, Jeana. I designed these more for a teacher to make in order to have a classroom visual to share with the students.
However, the cube is the easiest, maybe you could make a set to bring to show, and then have all the students make a cube of their own? Your email address will not be published.
I am a Christian mother of four, with over years experience homeschooling in Southern Oregon. The resources and products I create are designed to keep the prep to a minimum while also bringing a little educational fun to your classroom.
Join oversubscribers and receive our free teaching newsletter! Join FREE today! Comments Hello, I am currently a student teacher trying to find a way to teach finding 2D shapes within 3D prisms. Hope that helps?
How to Make a Cylinder out of Cardboard
Leave a Reply Cancel reply Your email address will not be published. Footer I am a Christian mother of four, with over years experience homeschooling in Southern Oregon. Since writing is essential to learn, it also requi. Thank You Rainbow Writing Prompt. Free Kindergarte.
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To be a software developer (a.k.a. programmer or software engineer) today, you don’t need a degree in computer science. In fact, computer science really isn’t about “how” you develop software today at all. It’s about how we approach software problems theoretically. And to be frank, you don’t need to worry about computer science theory to be a good software developer today. You just need to know how to solve problems using code, be good at using existing software frameworks, as well as know how to Google stuff and read programming language documentation.
This is why many of the largest tech companies these past few years have publicly announced that they don’t require computer science degrees for any of their software developer jobs: https://www.glassdoor.com/blog/no-degree-required/
However, there are some essential computer science concepts that every software developer should know. While they don’t help you develop software per se, they allow you to get better at visualizing the performance and nature of software problems, as well as allow you to understand the terminology that coworkers with computer science degrees will use in these regards. More specifically, you should understand the following in computer science lingo:
- The difficulty/complexity of a problem
- How an algorithm scales at its inputs scale
Before we dive into these concepts, I’ll start with a basic history of computer science. Because, you should also be able to discuss the origins of your profession!
History of computer science
Charles Babbage and Ada Lovelace
Computer science actually started in the 1840s. Charles Babbage designed (but didn’t fully implement) a machine called the Difference Engine that could compute information. He later evolved this design into the Analytical Engine, which would accept information on punch cards for computation. Ada Lovelace (a.k.a. The Countess of Lovelace) developed an algorithm that allowed the Analytical Engine to calculate a sequence of Bernoulli numbers (the first software program). She also postulated other uses for the Analytical Engine as well!
Unfortunately the Analytical Engine never became a reality, and the work by Babbage and Lovelace was largely forgotten until a decade later.
Alonzo Church and λ calculus
In the 1930s, Alonzo Church invented Lambda (λ) calculus and set the stage for computing in the field of mathematics. In λ calculus, there are only functions. There are no numbers or data types, and calculation is performed by reduction (much like what the Analytical Engine did).
For example, here is a function that multiplies x by x:
λx.(x * x)
Thus, if you feed this function the number 5, it produces 25:
λx.(x * x)(5) //outputs the number 25
let square = x => x * x
square(5) //outputs the number 25
It was also universal - any mathematical problem could theoretically be solved using λ calculus. As an aside, Y Combinator (which provides seed funding for startups in Silicon Valley and also runs Hacker News) gets its name from the Y combinator in λ calculus, which is a recursive function that finds the point where the function output equals the function input.
Alan Turing and the Turing Machine
In the 1940s, Alan Turing applied λ calculus to prove that a machine could be used to compute almost ANY algorithm. This machine was called a Turing Machine, and needed to have:
- conditional branching
- variables and memory/storage
Moreover, he drew attention to the fact that Turing Machines could be run within other Turing Machines. Programs (which run within an operating system program), virtual machines, and containers are examples of this today. He also further defined many other types of Turing Machines, such as Finite State Machines and Pushdown Machines (Google them if you want to know more). Anything that can simulate a Turing Machine is said to be Turing-complete (most modern programming languages are Turing-complete).
John von Neumann and the von Neumann architecture
Also in the 1940s, John von Neumann laid the groundwork for a modern Turing Machine architecture that would later be used by all computers (even those today):
ENIAC and EDVAC
The first general purpose computer (Turing Machine) that could solve nearly any mathematical equation through programming was created by J. Presper Eckert and John Mauchly in 1945 and called ENIAC (Electronic Numerical Integrator and Computer). They followed this success up with the EDVAC (Electronic Discrete Variable Automatic Computer) computer in 1949. EDVAC computed data in binary (not decimal like ENIAC) and contained the memory/storage needed to implement the von Neumann architecture.
EDVAC led to mainframes, which led to more people creating programs (Ada Lovelace-style) and the formalization of software development tools and techniques in the 1960s onwards!
How difficult or complex is a problem in computer science?
It’s important to understand how to discuss the difficulty or complexity of software development problems. In computer science, we define complexity not in the number of lines of code or the amount of caffeine needed to produce the code, but in the time it takes for a Turing Machine to solve it.
P (polynomial time) is the time to solve a problem using a polynomial expression (involving variables, coefficients and operators). Since computers can solve the same polynomial in the same period of time, so we say that polynomial time is deterministic. Most simple problems are said to be solvable in P.
Exp (exponential time) describes complex problems that take much longer to solve (or may never be solved), depending on the input and nature of the problem itself. They could take a few seconds to solve or a few years to solve, depending on the input. If the solution can be verified as “optimal” using a true/false polynomial expression, then we say the problem is Exp-complete. If we can’t verify it or must verify it using reduction, we say it is Exp-hard. R (recursive) problems are an example of Exp-hard.
NP (non-deterministic polynomial time) is what we strive for when it comes to solving complex Exp problems. Think of NP as a shortcut that you take when solving an Exp problem (i.e. a stroke of inspiration) that allows you to solve it much quicker. If you are able to use a true/false polynomial expression to verify that your solution was the optimal one, then we say the problem is NP-complete. Otherwise we say it is NP-hard (i.e. we’ll assume it was the optimal one by reduction, or just look the other way). Tetris is an example of an NP-complete problem. You can solve each line quickly using a stroke of inspiration, and later watch a recording of your gameplay to determine if it was the optimal solution at the time (or write code to verify it using polynomial expressions).
The relationship between P, Exp and NP is shown below:
How does an algorithm scale as its inputs scale?
Another important concept you should be able to discuss concerns the nature of algorithms. In computer science, we use Big-Order (or Big-O) notation to describe how many CPU operations it takes to solve an algorithm based on the inputs that are provided to the algorithm.
- O(1) means that the algorithm takes the same number of CPU operations to solve regardless of the input.
- O(n) means that the number of CPU operations scales linearly as the input is increased.
- O(n²) means that the number CPU operations scales exponentially as the inputs are increased (this should be avoided for obvious reasons). For example, an iterative search is an example of O(n²).
- O(log n) means that the number of CPU operations scales logarithmically as the inputs are increased. For example, a B-tree search is an example of O(log n). O(n²) algorithms should be restructured to be O(log n) whenever possible.
The relationship between these Big-O algorithms is shown below:


Frequentist vs. Bayesian
A frequentist approach to statistics uses the long-term frequency of events. In the comic above, the probability of rolling two dice that both come up six, is 1/36. The Bayesian approach starts with a prior belief (the sun did not explode), updates their belief based on an experiment (rolling the dice), and forms an updated belief. In this case the Bayesian has a very strong prior belief that the sun did not explode.
A clearly defined process with an outcome is called an experiment. All possible outcomes of an experiment are known as the sample space. An event is a collection of outcomes.
Intersection is the set of elements in set A & set B. A∪B.
Union is the set of elements in set A or set B. A∩B.
The complement of A is the elements not in A. Aᶜ.
Because the sum of probabilities adds up to 1, the probability of P( Aᶜ) = 1-P(A).
The probability that A & B will occur equals the probability that A will occur multiplied by the probability that B will occur given that A has already occurred. P(A∩B) = P(A)P(B|A)
The probability that A or B will occur is equal to the probability of A + probability of B minus the probability of A & B occurring (so it doesn’t get counted twice.) P(A∪B) = P(A) + P(B) + P(A∩B).
When a variable’s outcome is a numerical outcome based on a random event, it is called a random variable.
Distributions can be either discrete or continuous. A continuous random variable is an infinite number of values, whereas a discrete random variable takes on countable values. For example measuring something like the number of fish caught in a river on Sunday would be a discrete variable but measuring the mass of the fish would be continuous because you can always get more precise.
A distribution is a set of all values of a variable and how frequently they occur.
A distribution is uniform if all outcomes are equally likely:
A normal distribution is centered around its mean. You probably recognize it as a bell curve from school:
A Poisson distribution is the probability for discrete variables that an event occurs with a constant mean rate and independence from the previous result:
A Binomial distribution shows the likelihood of a success or failure of an experiment:
A Gamma distribution can include exponential distributions, also commonly used in setting up priors:
The equation for Bayes Theorem is: P(A|B) = P(B|A)P(A) / P(B).
In more plain English that means the probability of A given that B occurred is equal to the Probability that B will occur given that A has occurred multiplied that the probability that A occurs independently, all over the probability that B occurs independently.
Let’s say it’s before 2020 and people were still going to the movies. You’re a movie buff and go once a week. You buy a popcorn half the time that you go. You eat popcorn about three times a week. What’s the probability that you’re at the movies given that you’re eating popcorn on a given day?
P(movies|popcorn) = P(popcorn|movies)P(movies) / P(popcorn)
The probability that you’re at the movies given you’re eating popcorn P(movies|popcorn) equals the probability that you’re eating popcorn given you’re at the movies P(popcorn|movies) times the probability you’re at the movies P(movies), divided by the probability you’re having popcorn P(popcorn). Let’s break it down and then plug it in:
P(movies) = 1/7, or about 0.143 since you go once a week.
P(popcorn) = 3/7 or about 0.429 since you eat popcorn three times a week.
P(popcorn | movies) = 0.5 because you buy popcorn half the time you’re at the movies.
So P(movies | popcorn) = 0.5 * 0.286 / 0.429 = 0.16 or a 16% chance that you’re at the movies given that you’re eating popcorn.
The components of working with Bayes Theorem are the priors, likelihood, and posterior.
Priors are your beliefs about the distribution before running any trials. Industry knowledge is definitely useful here. If there is no prior information to work from, you can use Markov Chain Monte Carlo in order to simulate a prior. You’ll need to know which distribution you’re sampling from (hence the review of distributions above.)
Priors are updated by the likelihood, actual experiments being run.
After the updates, a posterior belief of outcomes is formed.
It can be a total mindset shift to think from a Frequentist point of view into a Bayesian one. Especially when you’ve been trained throughout your schooling to take a frequentist approach. Both approaches have their merits, based on the problem being solved.


Practice and test your skills through Fractions vocabulary and expressions quiz
Math quiz to teach children vocabulary related to fractions
Math quiz to teach children vocabulary related to fractions. It is important for children to understand how to express fractions in words and vice-versa. Children should also understand concepts like denominator and numerator, multiples and factors. All these notions are essential for teaching topics related to fractions. It is therefore important to build a base for children in 1st, 2nd and 3rd grades to build on. This is an interactive multiple choice questions quiz.


Join one of the local Corporate, Church, or Community groups that volunteer for us each year and make the difference in the lives of those right here in our community.
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This article is a stub. You can help Googology Wiki by expanding it. Dekagolunex is equal to s(10,s(10,100,10)) using strong array notation. The term was coined by Aarex Tiaokhiao. It is equal to 10dekagol. It is dekagol + 1 digits long. Sources ↑ Part 1 (LAN) - Aarex Googology (archived) Retrieved from "https://googology.wikia.org/wiki/Dekagolunex?oldid=303589" Categories Article stubs Numbers Numbers by Aarex Tiaokhiao Up-arrow notation level Community content is available under CC-BY-SA unless otherwise noted.


Kindergarten Homework - Lake Dallas Independent School.
Download and print free 1st grade worksheets that drill key 1st grade math, reading and writing skills. Great for review or for learning something new.
First Grade December Homework This parent involvement resource will help strengthen that connection as students practice essential first-grade skills. This December packet consists of simple games and activities that are fun and easy for the parent and child to complete together, with a simply checklist if you choose to have it returned.
May 26, 2014 - Math, English printable homework worksheets for grade 1 students. Printable PDF for teachers and parents.. See more ideas about First grade homework, Homework worksheets, Math.
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Free First Grade Reading, Phonics, Rhyming, and Thinking Skills Worksheets. Welcome to tlsbooks.com. This page includes first grade worksheets related to reading, phonics, rhyming words, and critical thinking skills.These worksheets are great for classroom or home use and you may print as many as you like.
Grade 1 Mathematics Student At-Home Activity Packet This At-Home Activity Packet includes 16 sets of practice problems that align to important math concepts your student has worked with so far this year. We recommend that your student completes one page of practice problems each day.


Institution conducts annual seminars/workshops to promote research activities of the staff members and to provide awareness regarding the modern trends and developments in technical field.
- ICMET’13:- Mathematics is the backbone of all streams in Engineering, Science and Technology. A sound knowledge of Mathematics from basic to advanced level is highly essential for the development and understanding of each and every technological process. Taking in to consideration this vast importance of Mathematics and Mathematics education in Engineering and Technology, the first international event in MCET namely the “International Conference on Mathematics Education and Mathematics in Engineering and Technology” (ICMET’13) was organized by MCET under the auspices of the Department of Mathematics from 17-20 Dec 2013.The event was organized to commemorate the fiftieth death anniversary of Sri. V N Gangadhara Panicker and also to celebrate the International Year of Statistics. The conference was cosponsored by KSCSTE and technically supported by Kerala Mathematical Association (KMA), Indian Society for Technical Education (ISTE Kerala Section) and Indian Society for Industrial and Applied Mathematics (ISIAM).
- The four day event was aimed at providing powerful intellectual stimulation for the delegates to share mathematical knowledge across cultures and update the recent advances and innovations in the subject. The scientific program consisted of invited talks, discussions and paper presentations.


TLDR: Is there an idiomatic Zig casting convention when going from larger floating point numbers to small integers where values are already guaranteed to have representations in the destination integer type?
I’m working on a problem for discrete value quantization to reduce overall memory and compute for tensor storage and operations. Here’s a primer on the idea: A Gentle Introduction to 8-bit Matrix Multiplication for transformers at scale using transformers, accelerate and bitsandbytes
This is a very common practice and is well defined and quite necessary for modern tensor systems.
More formally, the guarentee comes from the following: s * round(v / ||v||inf) (or the infinity normalized vector multiplied by a scaling constant equal to the max value containable by some integer).
So then, we have a vector where all values are between some range (for an i8, we could choose [-127, 127] ignoring -128 for simplicity).
Now, I need to cast this range to a vector of integers. One possible solution is to do a manual manipulation via the mantissa and exponent and populate the integers that way, but I’m curious if Zig has a more idiomatic solution to this.


RMS stands for Root Mean Square. True RMS is a mathematical formula that is used to calculate the effective value of an AC wave shape. To understand why this is important, it is helpful to first discuss what a phase monitor does. A phase monitor measures voltage to confirm the presence of a desired voltage; it also detects errors or fault conditions that can cause hazardous conditions or damage equipment.
Voltage is commonly graphically represented by a sine wave like the image below. This is also referred to as a sinusoid.
A common way to monitor voltage is to measure the peak of the sine wave then calculate the average to determine the voltage. This is very effective and works great when the sine wave is a smooth repetitive oscillation as shown in the graph above because this method makes an assumption that the sine wave is consistent and sinusoidal in shape.
Often the voltage is not smooth and linear. Equipment such as adjustable speed motors, solid state motor drives or heating controls can have distorted sine waves. This is also referred to as non-sinusoidal. See the examples of non-sinusoidal graphs below.
Peak measuring and averaging will not provide an accurate measurement of these voltage conditions. Complex voltages such as these can be under-calculated anywhere from 5 to 40% when using the peak measurement method. This type of error can mean that the phase monitor is not providing the protection that it is intended to do and potentially damaging voltage conditions are going undetected.
This is where True RMS is a benefit. The true RMS value is proportional to the square-root of the average of the square of the curve. This means that True RMS is measuring the actual sine wave and not assuming the shape and filling in the blanks as is the case with the peak averaging method. This is a more complex calculation and it is more accurate. The end result is far greater accuracy and a true measurement of voltage.


Debra rejoined the MSLF faculty last year. Previously, she taught at the Elementary level at Forest Bluff School, and earlier at MSLF. Debra earned her Montessori Elementary Teaching Diploma at the Montessori Institute of Milwaukee in 2005. In addition, her academic credentials include a MS in Mathematics from Michigan Technological University, and graduate course work in Algebra at Michigan State University. Debra also holds a Certificate of Merit for Outstanding Academic Achievement in Mathematics and Science from Michigan Technological University.
Contact Debra Pakkala


Kempthorne uses the randomization-distribution and the assumption of unit treatment additivity to produce a derived linear model , very similar to the textbook model discussed previously.  The test statistics of this derived linear model are closely approximated by the test statistics of an appropriate normal linear model, according to approximation theorems and simulation studies.  However, there are differences. For example, the randomization-based analysis results in a small but (strictly) negative correlation between the observations.   In the randomization-based analysis, there is no assumption of a normal distribution and certainly no assumption of independence . On the contrary, the observations are dependent !
2015Dec14: New ANNOVAR version is available. The major change is to enable multi-threaded ANNOVAR for gene, region and filter annotation. Use an argument such as -thread 6 to turn on multi-threading with 6 CPU cores. Special thanks to S/W R&D Center, Device Solutions at SAMSUNG for proposing the changes and demonstrating the performance using Samsung 830 SSD drives. I re-implemented their algorithm, and confirmed that >10 fold speed improvement for filter annotation for genomes can be achieved even in a Seagate HDD RAID-6 array.


Warning: There will be some “Mathyness” to this post, but I will refrain from including anything concrete and stick with vague references or analogies, so that no math knowledge is required.
When I came home from Houston a two weeks ago, I had spent the previous 4 weeks number crunching to attack a question regarding Odd Perfect Numbers. Of course, by then the data I had collected had become quite unwieldly, but that’s the nature of such beasts. As ideas are prone to do, just prior to leaving Texas, I had had an epiphany on how to improve the number crunching process. Since my dreams of a self-driving car are still a few years away, I am unable to drive and program at the same time and I had to wait several days before I got home to implement my thoughts.
Prior to this new idea, I knew it was going to take months of work to perform all the necessary calculations. I also knew a fair portion would have to be matched up by hand, but I was expecting to be able to get the computer to do a lot of that eventually. (Though that may be some wishful thinking. As I said, the data as collected was very unwieldly.) My new process had two major improvements, most importantly, it would allow the computer to always work with the smallest numbers available at any given time. A huge benefit considering some of the numbers can be over a hundred digits long. The process would also lend itself to a simple automation process for the more difficult pattern matching part of the problem that I had been doing by hand.
So I set about writing the code for my new idea and finished it in about a day. I could have tried to continue off the work I had already done, but I wanted to see how much of an improvement the new process was in comparison. Much to my delight, I had (in some sense) recovered the previous month’s worth of work in about 4 days. This past week-and-a-half has been spent tweaking the process and grinding out more data.
In truth, I have been working on this problem for over 5 months. I started with much of the current work on Odd Perfect Numbers. By that, I mean I looked at a few published papers. Then I found the papers that those papers referenced and read through those, and so on.
As I tried to explain to my students, it takes time to ingest mathematical ideas. When you watch a teacher solve a problem on the board, it’s like magic. Yet it takes a lot of work, a lot of problem solving, some experience, and time for a person solve problems in that “Magically efficient” way. Basically, I had to teach myself the necessary mathematical ideas. And in the same way it takes weeks and months for a student to learn calculus, it took me time to learn what I needed to know about Odd Perfect Numbers. So hopefully, it makes sense that I would throw out a month’s worth of work and start over.
It is important to note that this problem is about proving the non-existence of something. I doubt that any mathematician in the world thinks that an Odd Perfect Number exists, the problem is proving it. Though this question has been around for centuries, the best mathematicians have been able to do is subtly “corral” a hypothetical Odd Perfect Number; penning it in with more and more conditions in hopes that, one day, someone will be able to show that no such number can satisfy all the conditions and thus, no Odd Perfect Numbers exist.
This is my goal. I hope to add another subtle condition to the list.
At the moment, it is known that a certain internal structure of an Odd Perfect Number must be less than a certain upper bound. In particular, the sum of the reciprocal of all the primes that divide an Odd Perfect Number must be less than ln(2) = 0.693147. If one knows a little more about the Odd Perfect Number in question, then this upper bound can be lowered. For the case that I am working on, I was able to apply some results from other papers to lower my bound to .664449, which may not seem like much, but it’s quite a bit, I promise.
After two weeks of number crunching I have assembled a collection of primes that would divide an Odd Perfect Number of the sort I am looking at and their collective “weight”, for the lack of a better term, comes to 0.654786. Which means I am .009663 shy of the upper bound I am looking to break.
I’d love to say I am on the verge of surpassing the bound, and it certainly appears to be the case, but looks can be deceiving. Currently, I am adding about .0005 to .0007 every day and even these values are slowly getting smaller and smaller. I have another “small” trick or two up my sleeve, but each day will be a grind to add more and more weight. I am figuring that the process will take 2-3 more weeks, but I am resolved to see this through to the end.
Despite the growing pressure to look for a job…


A team of data scientists with expertise in the principal fields of Data Science (Business, Bio- and Manufacturing Analytics). With a solid background in mathematics, physics and statistics, we build algorithms from the bottom up and develop innovative solutions tailor-cut for your business, keeping you ahead of the game.
Eric Bouendeu has over 10 years of expertise in the areas of Business Intelligence, predictive analytics and Data management, after a brief trip in the pharmaceutical industry (i.e. biostatistical analysis at Sanofi Aventis Deutschland GmbH), where he developed data mining models for product affinity purposes. Mr. Bouendeu has consulted for financial institutions (i.e. Santander, VR Leasing, Commerzbank AG) in quality assurance and in various other fields of the Software Development Lifecycle (SDLC). He also brings unique expertise in Cyber Security Analytics having worked for Deutsche Bank on a project that utilized Big Data Technologies and Machine learning to enhance IT Security. Mr. Bouendeu is Co-Founder of SMART Data Analytics and holds a Masters degree in Data Science from the Dortmund University of Technology (Germany).
Dr. Lavri Labi has over 10 years of expertise in risk modelling, machine learning, and data management. He developed credit risk models for various institutions in the financial industry e.g. the Sparkassen Rating und Risikosysteme GmbH, and Pension-Sicherungs-Verein AG. Before joining SMART Data Analytics, Dr. Labi advised KPMG Global in Data Management and Machine Learning for Auditing and developed innovative Credit Risk Instruments for Awamo GmbH. Dr Labi holds a PhD in Statistics and Econometrics from the University of Rostock. His dissertation assessed modelling idiosyncratic and systematic risk of debt securities issuers in Germany. He holds a Masters degree in Data Science from the Dortmund University of Technology, and a Masters of Economics from the University of Abidjan.
Dr. Arsene Ntiwa holds a PhD in Statistics (Dortmund University of Technology - Germany), an MSc. in Data Science with a major in Econometrics (Dortmund University of Technology), and a B.Sc. in Mathematics with majors in Informatics and Physics (University of Dschang - Cameroon). He has profound experience and expertise in the areas of applied Mathematics and Statistics, Econometrics, Business Intelligence and Data Science. He has successfully lead Business units as a consultant (Deutsche Lufthansa AG, 1&1 Internet SE), and has spearheaded the building of Data Science units from the ground up; including developing the framework for applying Data Science (Machine learning/Data mining), implementing critical use cases as well as packaging and reporting complex statistical findings at all company levels including C-levels. His doctoral thesis addressed the development of a robust statistical algorithm to predict and classify (in real time) structural breaks in time series.
Dr. Emily Ngubia Kessé has over 11 years of expertise in the research, science management, and innovation-technology industry. She has co-founded two successful organizations, one of which was incorporated by the National Commission for Science, Technology, and Innovation (NACOSTI) of Kenya. She has conceptualized and managed numerous inter/national projects that have shaped the entrepreneurial culture in Africa's 'Silicon Savanna', including the Global Impact Challenge that saw over 80 innovations submitted. Before joining SMART Data Analytics, Dr. Kessé held an interim Professorship at the Humboldt University Berlin (Zentrum für transdisziplinäre Geschlechterstudien). She is a Graduate of Singularity University (NASA Aimes Research Center, Silicon Valley) and holds a PhD in Medical sciences from the Charité - University School of Medicine, Humboldt University Berlin. Her thesis examined the under-representation of women in Science, Technology, Engineering, and Mathematics subjects based on her Masters in Cognitive Neuroscience from the International School for Advanced Studies (SISSA/ISAS), Trieste. Dr. Kessé holds a BSc in Physics (University of Nairobi).


Distribution of random variables, conditional probability and independence, distributions of functions of random variables, limiting distributions.
- Distinguish among various random distributions and identify which distributions most closely characterize certain natural phenomena.
- Compute conditional probabilities.
- Compute and plot distributions of random variables.
- Solve problems whose data are characterized by specific distribution functions.
- Estimate values and compute confidence intervals.
- Formulate and test statistical hypotheses.
YOUR OPPORTUNITY: As the statistical properties of data sets help identify trends and clarify conclusions, you'll understand where such statistical measures come from.
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Learn more about Lewis University's online programs. Call (866) 967-7046 to speak with a Graduate Admissions Counselor or click here to request more information.


The sum of 13 and 7 76. Dividend: 56; divisor: 7; quotient: 8 2. A number line is a helpful tool to understand rounding. If the cards are equally distributed, how many cards does each player get? Where would you go to sign up for a tutor? Program Accreditation: The associate degree nursing program is accredited by the Accreditation Commission for Education in Nursing. In mathematics, the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,.
How to write an cause and effect essay best restaurant business plan samples misassignment. This textbook has been reviewed by over 300 teachers across the country. Whole part of the quotient Review Exercises For Exercises 3—10, add, subtract, or multiply as indicated. Most importantly, we give special thanks to all the students and instructors who use Prealgebra in their classes. On the right side, make your own comments about important words, procedures, or questions that you have. Advertisements online or from the newspaper er for carpet and dp paint. If you wanted to line the outside of a garden with a decorative border, would you need to know the area of the garden or the perimeter of the garden? If the truck weighs 9600 lb when empty, how much does each crate weigh? There are 5 reams of paper in each case and 500 sheets of paper in each ream.
Write the product of 23 and 14, using three different notations. Question: How do you build a better developmental mathematics textbook series? Burger Supplement Producer: Mary Jane Lampe Compositor: Aptara®, Inc. Acknowledgments and Reviewers The development of this textbook series would never have been possible without the creative ideas and feedback offered by many reviewers. Janssen Cover Illustration: Imagineering Media Services, Inc. To find the ordered pairs, choose arbitrary values for x or y, such as those shown in the table. A key principle in the development of any mathematics text is its ability to adapt to teaching specifications in a universal way. Our goal has been to develop pedagogical features to help students achieve better results in mathematics.
To subtract numbers on a calculator, use the subtraction key,. Furthermore, it also checks for the reasonableness of our exact product. If not, what could you have done to create more time for studying? Each picture is 5 in. If the dimensions of the room are 10 yd by 15 yd, how much carpeting does she need? Round the revenue to the nearest hundredthousand to estimate the total revenue for the years 2003 through 2005. Correct the exercises that do not match, and circle or star those that you cannot correct yourself. We now have 12 ones in the minuend.
Example 1 Identifying the Dividend, Divisor, and Quotient Simplify each expression. On a number line, what number is 8 units to the left of 11? These exercises are highlighted in the Practice Exercises at the end of each section. Change the grouping of the addends. For example, a square that is 1 in. All numbers in our numbering system are composed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Example 2 Adding Whole Numbers with Carrying 3. Similarly, a prealgebra course provides an array of topics that together create a solid mathematical foundation for the developmental mathematics student.
The difference of 93 and 79 7. Then adjust your schedule accordingly. Find the perimeter of the garden. Extensive and open-minded advice is critical in the production of a superior text. For example, Madagascar lost 3956 mi2 of rainforest between 1990 and 2008.
Subtracting Whole Numbers with Borrowing Subtract and check the result with addition. The driver follows the route given on the map. Across 2 5 6 7 Down 2. Do you keep an organized notebook for this class? Translations and Applications Involving Addition and Subtraction 5. The animations leverage the use of on-screen movement and morphing shapes to enhance conceptual learning.
Topics for definition essay business plan for laundry and dry cleaning products dissertation topics in project management examples solve my graphing problems action plan business proposal self assigned ip address fix. Two hundred forty-eight thousand 61. What results is a mathematics textbook that is as accurate and error-free as is humanly possible, and our authors and publishing staff are confident that our many layers of quality assurance have produced textbooks that are the leaders in the industry for their integrity and correctness. In this way, we see that 3 is multiplied by both 20 and 9. The rainforest areas are 4,776,980 square kilometers km2 and 1,336,100 km2, respectively. Math is cumulative in nature, and you must master the material learned in the previous class to understand the lesson for the next day.
Oakley 95 mi Pearson 2. She initially earns 15,000 travel miles by signing up for the new card. The next property of multiplication involves both addition and multiplication. To facilitate the use of the animations, the authors have placed icons in the text to indicate where animations are available. About the Author: Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years.
Then divide the sum by the number of values. Suppose Genny can type 1234 words in 22 min. Linear, quadratic, rational, absolute value, radical, exponential and logarithmic functions will be investigated. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida.


The Accelerated Reader is a progress monitoring assessment software that monitors the practice of reading. It also assists the teacher so they can personalize practice and individualize instruction. The cost of this program is $20.00 per student in grades 6-8.
The IXL Math program is a great resource for students to use to boost their computation and mathematical skill level. This program will cost $10.00 per student for a site license which again can be accessed by the students in class or off-site.


CERATIZIT UK & IRELAND LTD
1. Three S-Cuts have the value 30, an S-Cut has the value 10.
2. We replace the S-Cut with 10 and can set the value of two WTX-Uni with 4. A WTX-Uni has the value 2.
3. We replace two WTX-Uni with 4 and determine the value 2 for two cutting inserts. A cutting insert therefore has the value 1
4. We set the values and follow the mathematical calculation rule "multiply before addition". The result is therefore 21.


Prime and number theoretic utilities. Returns a pair whose car is the power of 2 in the factorization of n, and whose cdr is the product of all remaining primes.
nis definitely prime. May take an impossibly long time for large values.
nto be composite by finding an exception to the Miller Rabin lemma.
nhas a very high probability (enough that you can assume a false positive will never occur in your lifetime) of being prime.
nis prime. Uses
n, falling back on
probable-prime?for large values.
n, or #f if there are no such primes.
n. If the optional
limitis given and not false, returns
#fif no such primes exist below
nas a monotonically increasing list of primes.
nthat are relatively prime to
nis a perfect number, i.e. the sum of its divisors other than itself equals itself.
lo, inclusive, and
random-primewhich ensures the result is distinct from
nrelatively prime to


Each constraint in the primal has an associated dual variable, yi. There are limits in terms of the company’s production capacity, and the company has to calculate the optimal number of each type of phone to produce, while not exceeding the capacity of the plant. Where $x$ denotes the vector of variables with size $n$, $A$ denotes the matrix of constraint coefficients, with $m$ rows and $n$ columns and $B$ is a vector of numbers with size $m$. You should also be able to describe some of the algorithms used to solve LPs, explain what presolve does, and recognize the elements of an LP in a basic DOcplex model. The subjects in this study may have not been representative because they were not randomly sampled from the general Malaysian population, rather, they were only limited to a local university staff and students. A larger number of subjects were from different economic and social background and thus more lists of food items should be included in the model to increase the variety of food choices in future studies. The traditional food tempeh, which is rich in phytoestrogens, is also included in the menu as seen in menu 3, as it is found to exhibit a plethora of different anti-cancer effects, including inhibiting proliferation .
Every LP problem has an associated LP problem known as its dual. The dual of this associated problem is the original LP problem . If the primal problem is a minimization problem, then the dual problem is a maximization problem and vice versa. To improve the efficiency of the Simplex algorithm, George Dantzig and W. CPLEX uses the Revised Simplex algorithm, with a number of improvements. The CPLEX Optimizers are particularly efficient and can solve very large problems rapidly. You can tune some CPLEX Optimizer parameters to change the algorithmic behavior according to your needs.
Food And Agriculture
The a’s, b’s, and c’s are constants determined by the capacities, needs, costs, profits, and other requirements and restrictions of the problem. The basic assumption in the application of this method is that the various relationships between demand and availability are linear; that is, none of the xi is raised to a power other than 1. In order to obtain the solution to this problem, it is necessary to find the solution of the system of linear inequalities .
What is the goal in optimization?
In goal optimization, the given objective functions are not maximized or minimized directly; rather, the unwanted deviations between the set goals and the actual values obtained are minimized.
For each unit of the first product, three units of the raw material A are consumed. Each unit of the second product requires two units of the raw material A and one unit of the raw material B. Each unit of the third product needs one unit of A and two units of B. Finally, each unit of the fourth product requires three units of B.
Example: A Production Problem¶
You can check that this point is indeed an extreme point of the feasible region. In conclusion, we note that linear programming problems are still relevant today. They allow you to solve a lot of current problems, for example, in planning project management, economic tasks, creating strategic planning.
Why do we need optimization techniques?
The purpose of optimization is to achieve the “best” design relative to a set of prioritized criteria or constraints. These include maximizing factors such as productivity, strength, reliability, longevity, efficiency, and utilization. This decision-making process is known as optimization.
The arrows show the direction of the feasible region with respect to each constraint. This data entry error moves the lower bounds on production higher than the upper bounds from the assembly and painting constraints, meaning that the feasible region is empty and there are no possible solutions. The optimal solution of a linear program always belongs to an extreme point of the feasible region . In this topic, you’ll analyze a simple production problem in terms of decision variables, the objective function, and constraints.
Symbolic Representation Of An Lp¶
DOcplex can help perform infeasibility analysis, which can get very complicated in large linear programming and optimization models. In this analysis, DOcplex may suggest relaxing one or more constraints.
However, other nutrients such as carbohydrate , fat, vitamin A and fiber reached the upper limit of the maximum acceptable value of constraints. A set of questionnaires was distributed to the subjects to assess their socio-demographic profile. Basic information such as age, gender, marital status, and education level, lifestyle of the participants such as smoking habits, history of weight and height were obtained. Body mass index was calculated by using weight and height and classified based on WHO BMI classification into underweight, normal, overweight and obesity in adults . Based on the subject’s diet history information, a food list is prepared and the price for each food items was obtained from the Ministry of Domestic Trade, Cooperative, and Consumerism .
is a vector containing the maximum values of those constraints. This solution is impossible, because it leads to one of the variables being negative.
Unprocessed food data and prices are needed for such calculations, all while respecting the cultural aspects of the food types. Linear programming also allows time variations for the frequency of making such food baskets. Linear programming deals with the maximization of a linear objective function, subject to linear constraints, where all the decision variables are continuous. The linear objective and constraints must consist of linear expressions. The food list for each model also provides at least two servings of fruits and more than nine servings of vegetables, although it resulted in slight variation of the existing diets.
Example Of A Linear Programming Problem
Hence mathematically this is a linearly constrained minimization problem, with objective function a sum of absolute values of linear functions. The maximum value of the objective function is obtained at $\left ( 100, 170\right )$ Thus, to maximize the net profits, 100 units of digital watches and 170 units of mechanical watches should be produced. Method interior-point uses the primal-dual path following algorithm as outlined in . This algorithm supports sparse constraint matrices and is typically faster than the simplex methods, especially for large, sparse problems.
.x is a NumPy array holding the optimal values of the decision variables. .slack is the values of the slack variables, or the differences between the values of the left and right sides of the constraints. Finally, the product amounts can’t be negative, so all decision variables must be greater than or equal to zero. It’s worth mentioning that almost all widely used linear programming and mixed-integer linear programming libraries are native to and hiring app developer written in Fortran or C or C++. This is because linear programming requires computationally intensive work with matrices. Mixed-integer linear programming problems are solved with more complex and computationally intensive methods like the branch-and-bound method, which uses linear programming under the hood. Some variants of this method are the branch-and-cut method, which involves the use of cutting planes, and the branch-and-price method.
Difference Between Interior Point And Simplex And
Socioeconomic status of the population plays a critical role in eating patterns and food choices. Several studies have shown that energy-dense foods are foods that are commonly chosen by the low socioeconomic class due to their cheaper price as financial resources are limited . Foods of lower linear programming and optimization nutritional value and lower-quality diets generally cost less per calorie and tended to be selected by groups of lower socioeconomic status. A number of nutrient-dense foods were available at low cost but were not always palatable or culturally acceptable to the low-income consumer .
In order to come up with a descriptive model, you should consider what the decision variables, objectives, and constraints for the business problem are, and write these down in words. Linear programming can be used to translate nutritional requirements based on selected Dietary Guidelines to achieve a healthy, well-balanced menu for cancer prevention at minimal cost. Furthermore, the models could help to shape consumer food choice decision to prevent cancer especially for those in low income group where high cost for health food has been the main deterrent for healthy eating.
Solve With The Model¶
In 1947, Dantzig also invented the simplex method that for the first time efficiently tackled the linear programming problem in most cases. When Dantzig arranged a meeting with John von Neumann to discuss his simplex method, Neumann immediately conjectured the theory of duality by realizing that the problem he had been working in game theory was equivalent. Dantzig provided formal proof in an unpublished report “A Theorem on Linear Inequalities” on January 5, 1948. In the post-war years, many industries applied it in their daily planning. Engineers also use linear programming to help solve design and manufacturing problems. For example, in airfoil meshes, engineers seek aerodynamic shape optimization. This allows for the reduction of the drag coefficient of the airfoil.
is the main function for linear programming with the most flexibility for specifying the methods used, and is the most efficient for large-scale problems. Method highs-ds is a wrapper of the C++ high performance dual revised simplex implementation , . Method highs-ipmis a wrapper of a C++ implementation of an interior-pointmethod ; it features a crossover routine, so it is as accurate as a simplex solver. For new code involving linprog, we recommend explicitly choosing one of these three method values.
Linear Optimization With Python
Raw materials are brought to the second plant from the second warehouse and from the third warehouse . In total, both plants will receive 8 tons of raw materials, as required at the lowest possible cost. If a solution exists to a bounded linear programming problem, then it occurs at one of the corner points. Since the goal is the maximize profits, our objective is identified.
Reviewed by: Lamia Alonso


A time calculator can be used by entering the values of the days and hours, minutes, seconds, and seconds you want to calculate. The calculation results will display the total number days, hours, minutes and seconds. Once you’ve entered the values you can adjust them by using the up/down arrows on the keyboard. Clearing the inputs is possible by clicking on the clear button. You will see the results in a new window when you open the time calculator.
Calculate the length of your trip
How do you calculate the trip duration using a travel time converter? For calculating the trip duration, you need to multiply distance traveled by speed. The distance traveled is expressed at kilometers per hour. This is rounded up to one minute. During flight, the heading/course/bearing will vary, but it is always a factor of at least one hour. To calculate the trip duration, the calculator automatically converts kilometers and miles.
A travel time calculator can give you an estimate of the trip’s duration once you have entered your start and end times. You can also enter the speed in miles and kilometers to see the total travel duration. If you have to stop for a meal, the calculator will give you pauses. The calculator will automatically update the map every 24-hours, so it is easy to input all relevant information.
Calculate the time it takes to complete a day
The length of a day refers to the number of hours that are available in a given time period. The SI accepted unit time is the daily. One day is equal to 24 hours. You can calculate how many hours there are per day for any place on the planet by using a time calculator. A day is divided into 24 hour periods, and the beginning and end times of each hour are marked with red lines.
The start and end times are required to be entered in a time calculator. The end elapsed must be greater than that of the start elapsed. Hours and minutes can also be entered in 24-hour format, 24-hour format, or a 24-hour format. You can convert between 12 and 24 hours by adding 12 hours to your start and end times. Enter the elapsed hours in minutes and not seconds. Otherwise, the calculator will only provide the minutes.
Calculate the length of one week
We first need to know the number of hours and minutes in a week in order to calculate the length. A leap year has 366 days while a common year has 365. Also known as weeks or months, the days of a week are also called weeks or months. The days of a month can either be abbreviated, or they can be numbered. For example, February has 28 common days and 29 leap days.
The time calculator allows you to enter two dates such as the first or last day of each week. It supports clock times as well as elapsed times. It is capable of handling both 12- and 24-hour time formats. It can even handle midnight time durations. While it’s simple to use a time calculator for calculating a time interval you might find it challenging to manually input the data. Download a time-card calculater to make it easier.
Calculate travel time
A time calculator can be used to calculate how long it will take you to drive a certain distance. It is easy to calculate the duration of a trip by multiplying speed and distance. You can input speed in miles per hour or kilometers per hour. You can also calculate the travel time using other units of time than miles and km. These units can be converted by the calculator.
Calculating the distance will not only give you an estimate of the speed of your car, but it will also calculate its expected average speed. The calculator will also display the estimated travel time to your destination. This method doesn’t account for weather conditions and unforeseen mishaps. You can use the time calculator to calculate how long it will take for your trip to be completed. The time calculator can be used to calculate the cost of each leg of your journey once you know how long it will take.


- Professor in Applied Mathematics at Université Paris Descartes
- Member of the MAP5 lab
- Statistics for networks, random graph models
- Graph theory and related algorithms
- Applications to cellular biology and cancerology
- MAC2: classification of large families of large graphs in bioinformatics.
Collaboration with the LIAFA (Paris Diderot)
- LIONS: systems biology to understand the gene deregulation process in bladder cancer.
Collaboration with the teams of M. Elati (Evry) and F. Radvanyi (Institut Curie, Paris)
- Systems epidemiology in breast cancer.
Collaboration with the teams of E. Lund and L.A. Bongo (UiT, Tromsö, Norway)
- Head of the master degree Mathématiques et Applications.
Curriculum (in french, last update in March 2017)
etienne.birmele [at] parisdescartes.fr
Tel : +33 (0) 1 83 94 58 66
MAP5, UMR CNRS 8145
Université Paris Descartes
45, rue des Saints-Pères
75270 Paris Cedex 06


In a letter to the Times, 20/06/13, 9 HMC heads warn of the long-term negative effects on our intellectual and financial economies if the study of further maths is not preserved
Sir, We are deeply concerned about the likely impact of current A-level reforms on mathematics. The subject’s rising popularity could be reversed by unintended consequences of reforms on maths in state and independent schools.
Maths is generally taught in a unique way. It is often setted, and accelerated. Unlike any other subject, A-level maths requires six papers, or modules, rather than four. It has two A levels: Maths, and the much harder Further Maths. Both exams, however, have the same A-level status.
Two consequences of change radically threaten Maths. First, conditional offers from top universities increasingly (and, in medicine, almost exclusively) recognise only A levels sat simultaneously. This discourages pupils from taking Maths early, and Further Maths at all.
Second, modules now occur only in June, not also in January. Students taking Double Maths therefore have fewer sessions, for their larger number of exams. A typical student taking Double Maths will take 12 exams in two sittings as opposed to four in two sittings for a single subject; and this load can no longer be spread. This weight of examining will deter still more pupils from studying Further Maths.
We urge ministers to preserve the study of Further Maths, perhaps by awarding it a different name, status or structure. Long-term negative effects on our intellectual and financial economies are otherwise inevitable.
Peter Hamilton, Haberdashers’ Aske’s Boys’ School; Timothy Hands, Magdalen College School, Oxford; Chris Ray, Manchester Grammar School; Jonathan Cox, Royal Grammar School, Guildford; Bernard Trafford; Royal Grammar School, Newcastle; Michael Gibbons, The Grammar School at Leeds; Edward Elliott, The Perse School; Timothy Haynes, Tonbridge School; Anthony Seldon, Wellington School
Click here to read the letter.


The Journey of Mobius and Sidh
An Interactive Journey of Self Discovery
August Ferdinand Mobius
The German mathematician and astronomer August Ferdinand Mobius is best known for his work in topology, expecially for his conception of the one-sided figure now known as the Mobius strip.
He became professor of astronomy and higher mechanics at the University of Leipzig in 1816 and director of its observatory in 1848.
Mobius's mathematical publications, although not always original, were effective and clear presentations.
His 1827 work on analytical geometry became a classic. Mobius also wrote on celestial mechanics.