To Eq. (6) tinv (1x β/2,n,1,t1,α/2,n`1) is related to sample size, we must use an iterative method to calculate sample size. First, we replace the non-centralized t distribution amount with the standard distribution amount to get the initial value (n0), and then we iter with steps until it reaches a stable value. 13. Julious SA. Sample size for clinical trials with normal data. Stat Med 2004;23:1921-1986. A table shows the sample size required for different Type I and Type II error levels. MedCalc uses the Lu et al.
(2016) method to calculate sample size. Bland indicated the sample size for the study of the concordance between two measurement methods available on its website . In the 1986 launch document, they indicated a 95% confidence interval formula for agreements. The typical error of the 95% chord added to root 3s2/n, where there is the standard deviation between the measurements using the two methods and n the sample size. The confidence interval is the estimate of the limit value, d- plus or minus 1.96s, plus or minus 1.96 standard error, and the sample size can be identified. The original article by Bland and Altman , which proposed the method of analysis of the agreement, received more than 30,000 citations in the biomedical literature and has increased in recent years. Nature asked Thomson Reuters, which now belongs to the SCI, to compile a list of the 100 most frequently proclaimed papers of all time. The third most popular statistical journal (number 29) is a 1986 publication by British statisticians Martin Bland and Douglas Altman, who proposed a technique – now known as Bland-Altman-Plot . It was stressed that estimates of the limits of the agreement (LOA) should go hand in hand with confidence intervals. However, they found that “confidence intervals are rarely cited” in comparative study reports [3-5].
A reporting standard for the analysis of the Bland-Altman agreement in the laboratory showed that OL five-totalation limits were reported in only 6% of the 50 studies published later than in 2012 .


All graduates of the academic bachelor study programmes (or programmes of same or higher level elsewhere) are eligible for the admission to the master study programme Applied statistics, regardless of their field of study.
The programme comprises seven study modules: Biostatistics, Social sience statistics, Economic and Business statistics, Technical statistics, Official statistics, Mathematical statistics and Machine Learning.
The first three semesters take the form of lectures and laboratory practice, while the fourth semester is intended for the work on a master’s thesis under the guidance of the selected supervisor.«
The interdisciplinary master study program Computer science and mathematics admitts graduates of bachelor study programmes (or equivalent) in mathematics, computer science or related field.
This programme is designed for students with a strong interest in computer science. Its goals comprise the qualification for the development and usage of new information technologies, for research in the fields of mathematics and theoretical computer science, and the capability of rapid acquisition of new knowledge from the field of computer and information science and the related field of mathematics.
The need for application of computer technology is growing everywhere, and therefore graduates of this program can find employment in all branches of business and the public sector.


Monthly Free Activities for December 2013
All aboard the Learning Train! Learning Train is making monthly stops to give away free educational activities. Give your children extra practice learning beginning reading and math skills using our "Ready to Read/Math Mania" activities, or get crafty with your kids using our "Clever Creation" activity. Look for other fun activities in our "Just for Fun" pages.
Ready to Read
Each month we feature printable worksheets that you can use to give your children a head start or extra practice learning the alphabet.
Help your children master basic math skills that focus on our featured numbers of the month.
Each month we feature a new project that you and your kids can enjoy creating together.
Just for Fun
Reinforce skills with a little extra fun.


Throughput time for a process is synonymous with Average Lead Time and is calculated by dividing the number of items within the process (work-in-process inventory) by the number of units that move through the process in a given time period (throughput). For example:
- If you generate 10 purchase orders on day 1 and on day 11, you receive all units ordered, you have 10 units delivered in 10 days. 10 days x 10 units = 100.
- 100/10 units received = 10 days Average Lead Time or Throughput Time.
For more information, see: Little’s Law« Back to Glossary Index


What is MyOpenMath, and how does it work? MyOpenMath is a platform created for mathematics and other quantitative fields. It can also be defined as an online course management platform, and it serves as an assessment system for mathematics and quantitative subjects. In addition, the platform provides peer-to-peer support through discussion forums. On this website, students can receive immediate feedback on problems that were generated using an algorithm and have either numerical or algebraic expression answers.
It is one of the best platforms for students who would like to study mathematics and also perform exercises with immediate feedback. Meanwhile, MyOpenMath is also a great platform for instructors who want to adopt an open textbook. They offer a pre-defined course based on popular open textbooks for instructors. So, whether you are a student or an instructor, you can make use of this platform.
History of MyOpenMath
Firstly, this platform was first developed as open-source software by David Lippman. He taught at Washington State University as a Professor. Since the development of this app, it has grown to become one of the most sophisticated management system portals for students and teachers.
Meanwhile, Professor David Lippman funded the site for the first year but he later joined forces with XYZ Homework and Lumen Learning. However, in 2017, Lumen split off their version of My Open Math and then called it Lumen OHM to differentiate their services from the free My Open Math community.
How does it Work?
Meanwhile, My Open Math functions as a non-profit website. Many individuals also assist in running and maintaining the website. In addition, the portal relies on financial support from schools that use the website as well as sponsorship to keep running. Unlike other platforms, it is so easy to make use of the My Open Math Portal; you just need a computer or mobile device with a stable internet connection.
You don’t need to install the application on your mobile or desktop device. Next, you will have to create a student or instructor account. As a student, once you’ve signed up for an account, you can make use of its advanced features. Students can enter algebraic expressions, algorithmically generate homework, etc.
MyOpenMath for Students
As previously stated, this platform is one of the best for students to study math on their own and also get quick feedback. It provides them with interactive assessments to complete for free and open math textbooks that can be read online.
Self-grading tests in their self-study courses generate fresh iterations of previous issues, allowing for limitless practice and fast feedback. The self-study courses also include video lessons. Here are some of the courses available on the site:
- Trigonometry, using the CK12/Sousa textbook
- Pre-algebra, using the College of Redwoods textbook
- Using the Tyler Wallace textbook, students are introduced to basic and intermediate algebra.
- Pre-calculus 1(College Algebra), using the Lippman/Rasmussen textbook
- Pre-calculus 2(Trigonometry), using the Lippman/Rasmussen textbook
MyOpenMath for Instructors
Meanwhile, this platform was first created for mathematics by providing the delivery of homework, tests, and quizzes with rich mathematical content. Students get instant feedback on algorithmically generated questions with numerical answers. Also, it does this through a full course management system that includes files, postings, discussion forums, a full guidebook, and more.
Presently, the portal is used to web-enhance an on-campus course as part of a hybrid course or a fully online course. Also, they provide pre-defined courses based on well-known textbooks. These courses include online assignments, handouts, instructor resources, etc. You can read the books on the website online or print copies through their partner site, opentextbookstore.com. Some currently pre-built courses on the web are:
- Beginning and Intermediate Algebra, a CK12 flex book remixed by James Sousa
- David Lippman’s Math in Society A Math and quantitative reasoning course for the liberal arts
- Precalculus: David Lippman and Melonie Rasmussen’s An Exploration of Functions (covers College Algebra and Trig) Tour in video [+]
- By Carl Stitz and Jeff Zeager, College Algebra
- Contemporary Calculus (single variable), by Dale Hoffman
- Shana Calaway, Dale Hoffman, and David Lippman’s Business Calculus
- The remix of the MITE/NROC textbook by David Lippman is titled Mathematics for College Students.
- Pre-algebra, by College of the Redwoods
- Beginning and Intermediate Algebra, by Tyler Wallace
How To Create a MyOpenMath Account for Student
As mentioned above, students are required to create an account with the platform before they can successfully access their content. Here is a quick and easy way to sign up for a student account.
- Visit their official website at https://www.myopenmath.com/forms.php?action=newuser.
- On the website, locate the signup button.
- Next, create a username using numbers and letters.
- Create a strong password, and then confirm your password.
- Enter your first and last name.
- Also, enter an active email address.
- Please check the box to confirm that you are at least 13 years old.
- Read the terms and conditions and tap “I “agree.”
- Enter the course ID and key provided by your teacher below the box.
- Finally, click “Join up” and then adhere to the prompts on the screen.
Already have an account with My Open Math? Simply log in to your account using your correct details and information. Here is a quick guide on how to sign in to your account:
- Visit the official website at https://www.myopenmath.com/.
- On the website, locate the login icon at the right corner of the page.
- Enter your username and password.
- Then, click on “log in.”
My Open Math Instructor Account Sign Up
Instructors can request an account by carefully following the below steps and guidelines:
- Visit https://www.myopenmath.com/newinstructor.php
- Next, you will be required to enter your information.
- The school affiliation is listed on the first page.
- Select the kind of institution you work for.
- Lastly, follow the prompts to complete the registration.
Following the above steps and guidelines, you will be able to sign up for a MyOpenMath Instructor account online.


Found in 6 Collections and/or Records:
Academic Affairs. Dean College Of Engineering. School Of Engineering Technology. College Of Engineering & Science (University Of Maine) Records
Discontinued Offices & Programs. Engineering Science And Management Defense Training Program (University Of Maine) Records
Discontinued Offices & Programs. Office Of Innovation & Communications & Instructional Technology (University Of Maine) Records
Staff Organizations. Mathematical and Physical Section of the Scientific Society (University of Maine) Meeting Records
The volume includes meeting minutes for the Mathematical and Physical Section of the Scientific Society starting on October 16, 1902. Professor Hart was the section's first chair. The meetings featured presentations on a range of subjects related to mathematics and science.


Gallons to Cups
How to Convert Gallons to Cups: If you want to convert gallons to cups, quarts to pints or ounces to quarts, then you must know how to measure water by volume. You can get the conversion by looking at the formula below. The chart will help you to make the right choice when you are buying bottled water. It is important to know that the number of gallons in one gallon is equal to the number of pints in one quart.
Converting gallons to quarts
If you’re trying to calculate the volume of a liquid, you may find it helpful to convert gallons to quarts. Quarts are smaller than gallons, but they’re still larger than pints. The volume of one quart is equal to one and a half gallons. To convert quarts to gallons, simply multiply the number by four.
A big “G” chart is a useful reference for common capacity conversions. It also allows you to easily memorize the conversion factors between gallons and quarts. The chart also allows you to convert the units into other volume values. This way, you can easily compare and contrast different units in your daily life. Once you know the general conversion formula, you can use it to calculate the volume of any liquid.
One of the most common mistakes people make is converting gallons to quarts without first knowing the units of volume. However, converting gallons to quarts is a simple task if you know what you’re doing. Simply type in the volume of liquid in gallon and click on the decimals value to get the quart equivalent. The results will be displayed in your calculator.
A quart is a volume unit that is used in the United States. One gallon in the US equals about 0.25 quarts. Quarts are also abbreviated as “qt”. Using this conversion tool will make it easy to understand the conversion formulas for different liquids. If you want to learn how to convert gallons to quarts in your daily life, you should consider learning the metric system.
Converting quarts to cups
There are several ways to convert a quart of water to a cup. First, determine the density of the liquid, as a quart contains 8.34 ounces. Second, multiply the density by three to get the equivalent volume. Finally, multiply this value by the number of cups you need. Depending on the ingredients, the conversion may be more complicated than you think. Fortunately, there are conversion charts available online.
To convert water quarts to cups, you’ll need to know the volume of each liquid. To convert from one liquid to another, simply multiply by the right factor. If you’re using US cups, the conversion factor is.25. The formula is similar to that of other fluid measurements, and you can use the same factor to convert water quarts to cups. This method will give you accurate results.
First, the volume of one quart is equal to two U.S. pints. The same holds true for Australian quarts. In the US, a quart is equal to approximately three-fourths of a gallon. If you’re using metric quarts, it’s important to note that the imperial quart is equal to 1.101221 litres. In the UK, a quart is the same as eight cups.
Next, you’ll need to determine how many quarts of water you need to measure. The ratio of water quarts to cups is easy if you know the metric measurements for each volume. You can also use the conversion chart to figure out how many cups a quart contains. Then, multiply the volume by this conversion ratio to determine the cup’s equivalent. You can also convert the quarts to US fluid quarts.
Converting ounces to cups
In drinking water, it can be difficult to know the exact ounce amount, but you can simplify the task by knowing the weight of a cup. One cup holds eight ounces, or two cups and twenty-four ounces. However, this conversion method isn’t accurate, so it’s important to use a scale that measures liquid in the correct unit. For example, 80 ounces of water equals 5.2158 pounds, or 2.3658 kilograms at 39.2 degrees Celsius.
To convert fluid ounces to cups, first understand what is a gallon. A gallon contains 128 ounces, while a fluid quart (or qt) contains 16 cups. Likewise, a US fluid quart is 32 fluid ounces, and you can use that conversion to convert between quarts and cups. To convert from ounces to cups, multiply the quart value by 32.
One cup contains eight ounces, and an eight ounce glass of water will equal one liter. The glass size is determined by the maker of the glass, but it’s important to remember that an 8 ounce glass will hold eight ounces of liquid. This size is a common measurement, so the ounce is the standard unit for liquids in the United States. One cup contains 236.5 milliliters or 0.5 cups of liquid.
The ounces-to-cups conversion chart is easy to use, as it has a table with example conversions, a formula for calculating a quantity, and a useful list of other measurement units. If you don’t have a measuring scale, you can use the metric unit to simplify the conversion. You can also use this conversion chart to calculate a liquid-to-dry ratio when cooking.
Converting pints to quarts
Whenever you are measuring liquids, you may need to convert a quantity. For example, if you want to measure the amount of water in a pitcher, you will need to know the volume of a pint. Pints are a unit of volume equal to 1/2 of a quart. In the United States, however, pints are used for a different purpose. In these countries, pints are called ‘dry’ and ‘wet’ pints.
To convert pints to quarts, simply multiply the number of pints by 0.5. For example, 7 pints equal 3 1 / 2 quarts. On the site, you will find boxes for both units and can enter the value of the physical quantity in any one of them. You’ll need to choose both units and type the value into any of the boxes.
The same goes for gallons and quarts. Pints are smaller than gallons, so it makes sense to multiply the latter by eight to convert a gallon to a pint. You can also convert gallons to pints by dividing the latter by eight. As long as you know how to measure water in either measurement, the conversion process is simple. A pint of juice is equivalent to a half-gallon of wine, while a pint of sour cream equals about eight ounces of wine.
When you measure liquids, you’ll need to know how many cups are in a quart. A quart contains four cups. Two quarts contain eight cups. Four pints are equal to four quarters of a gallon. Using the right measuring cups will help you avoid confusion and make your measurements easier. You can also use this handy chart to find recipes that will yield the desired results.
Converting quarts to cups in the Instant Pot
If you have an Instant Pot, you may be wondering how to convert water quarts to cups. The pot has built-in conversion examples. When converting a recipe, go with a shorter cooking time. You can always turn the temperature down if the food is undercooked, but you can’t fix it if it’s overcooked. To figure out the volume of liquid in a recipe, check its instructions carefully.
When you’re cooking or baking, it’s important to know what the measurement system is for your specific recipe. Some recipes will be in quarts, while others may be in cups. There are conversion charts that can help you determine the amount of liquid in different quantities. For example, you can look up the conversion chart for quarts to cups and from cups to pints. Be aware that Fahrenheit and Celsius are not equivalent, so it’s best to use a conversion table for these.
In the case of soups, you may need half a cup less water than in a regular soup. This will help you ensure the end product doesn’t taste watery. Also, most recipes don’t require too much liquid. So, a recipe for a three-quart Instant Pot will require approximately one cup of liquid, while a recipe for an eight-quart Instant Pot should call for one and a half cups.
Another common question is how to convert water quarts to cups in the InstantPot. The conversion chart for quarts and cups is available online. Simply enter a cup measurement into the appropriate field on the chart and click on the convert button. The instant pot will display the conversion chart automatically. This will ensure that you’re making the right calculations for your recipe. When converting quarts to cups in the Instant Pot, you can get the desired amount of liquid in your cooking.https://www.youtube.com/embed/0-YwUNTSr54
How Many Cups Are in a Quarter?
How do I measure in a cup? There are two basic methods. One is by volume, and the other is by volume in a quarter. The most common method is to measure liquid by volume. A half cup contains one tablespoon of liquid and a quarter cup contains two tablespoons. Regardless of the method you choose, it is crucial to measure the right amount in your cup. This way, you’ll avoid wasting food or liquid, and you’ll know exactly how much you need without guessing.
Tablespoons in a cup
A tablespoon is equal to one-tenth of a cup, or about three teaspoons. In the United States, a tablespoon equals about half a fluid ounce, while in many other countries, a tablespoon is equal to 15 milliliters. A tablespoon may also be abbreviated as tbs, tbl, or T. It is a unit of measurement that is standardized worldwide.
One of the most common conversions is based on the size of a tablespoon. The standard tablespoon is equivalent to 3/4 teaspoon. Thus, a 1/4 cup equals to eight teaspoons. A half cup, on the other hand, equals to four tablespoons. If the latter is not available, a quarter cup is equivalent to four tablespoons. However, the latter is more appropriate for serving a single teaspoon.
To make it easier for you to convert between tablespoons and cups, we’ve calculated the ratio. Four tablespoons equals one-quarter cup, and sixteen tablespoons equals one cup. For convenience, we’ve provided a printable version of the tablespoons-in-a-quarter-cup cheat sheet. You can use it to scale recipes and other ingredients to the proper proportions. Once you know the ratio, you’ll have an easier time cooking.
Using a liquid measuring cup is safer than a coffee mug or spoon without indicators. One cup is equivalent to 16 tablespoons of dry goods. A quarter cup equals four tablespoons of dry goods. One cup equals eight fluid ounces. So, if you need to measure liquids, you’ll need to use a measuring cup designed for liquids. This way, you’ll never overfill a measuring cup.
Tablespoons in a quart
To convert tablespoons to cups, multiply the amount by two. For example, a half-cup is eight tablespoons, so you would need to use six teaspoons to get a full-cup amount. One ounce is one eighth of a cup. When measuring dry goods, half a tablespoon equals 1.5 teaspoons. A quarter cup is four tablespoons. These conversions will help you make sure you have enough for your recipe.
As you can see, tablespoons are the metric unit of volume, while quarters are the UK’s liquid unit. One metric gram is equal to 66666.666666667 tablespoons, while a quarter is equal to 3.4370195046732 tablespoons. Be careful, however, because the conversion may have a rounding error. It is best to check the conversions yourself before using them.
If you’re wondering how to convert teaspoons into tablespoons, know that there are several ways to do it. The most common way is to divide a cup into quarters. A quarter cup equals half a teaspoon. Alternatively, a tablespoon equals one-quarter cup. A teaspoon, on the other hand, is one-tenth of a tablespoon. In a recipe, it is recommended to use the smaller of the two spoons.
Another trick is to use the right size cup. Typically, a quarter cup is equal to two ounces. When you use a quarter-cup cup, you’ll need three-fourths of a cup of liquid. So, if you’re baking a pie, you’d use one-fourth cup. This way, you’ll have the perfect portion size. However, if you’re planning to eat a quarter cup, you’ll need to make a half-cup equivalent.
Pints in a quart
In the US, a pint is one-half of a quart. In the UK, a pint is equal to about 20 ounces. The quart is equal to about half a pint. However, there are many other variations in the volume of pints and quarts. To learn the different measurements for each unit, follow the link below. Also, consider the metric system.
A quart is a measurement of volume, and is equivalent to 0.5 gallons. The quart is used as a measurement in countries where imperial measurements are used. A pint contains about 473 mL of liquid and 550 mL of dry matter. This relationship is important for understanding different liquids. If you’re buying food, you should also check the weight. For wine, a quart is equal to approximately 473 mL.
A pint is equal to four quarts. A gallon is equal to eight pints. If you want to resize the quart, you’ll need to measure two cups in it. If you’re cooking for a large group, you’ll need to use four cups. You can also use two cups of liquid. If you use a teaspoon measure, then a cup equals one pint.
If you need to measure liquid quantities, a gallon is a much bigger volume than a pint. The US quart has many uses in everyday life, and is used as the standard unit of measurement. Whether you’re measuring a liquid, a quart is an ideal size for a beverage. You can also use the qt symbol to write the equivalent value in a different way.
Whether you want to convert cups to gallons, or just want to know the relationship between these two volume measurements, this chart will help. It will tell you how many gallons are in “x” cups and include examples and formulas. You’ll also learn the relationship between the imperial and US customary systems. In the US, the gallon is 3.785 liters, and one cup is approximately 0.625 gallons.
The US and UK measure systems use different units to indicate the volume of liquid. The US gallon is approximately 3.785 liters, while the imperial gallon is about 4.546 liters. It is important to note that the imperial gallon is 20% larger than the US gallon. This information can help you choose the right measurement for your needs. A US standard cup is equal to 0.0625 US gallons.
You can also use a liquid volume converter to measure specific amounts of liquids. This will enable you to convert cups into gallons or quarts and vice versa. There are many liquid volume converters that will help you convert between various volumes. You can also use them to calculate weights. This is especially helpful when you’re preparing food for a crowd. But before converting cups to gallons, you need to know how much liquid is in each container.
A gallon is a unit of volume that is equal to 16 cups. However, the actual volume of a gallon will depend on the size of the cups. Generally, a standard measuring cup is eight ounces in the US, but it can vary between 10 ounces in other countries. However, the United States still uses the imperial system, while most countries have switched to the metric system. You can use the metric system to convert between gallons and cups.
A cup is a volume unit. A quarter of a cup is one eighth of a quart. A quart is equal to 0.25 liters and is the standard unit for measuring liquid and dry volumes. You can find conversions of cups to quarts in a variety of resources, including a handy chart. In addition, you can learn how to convert cups to a variety of other volume units, including pints.
In the United States, 1 cup is equivalent to 1/4 of a quart. To convert cups to quarts, you need to multiply the number of cups by four. Therefore, a quart equals half a cup. This rule applies to both imperial and metric systems. The quart symbol is “qt”.
The quart is the most common unit of liquid volume in the United States. It’s equivalent to 0.946353 liters in the US and to 1.101221 liters in the UK. In the US, a quart is one cup. It is written 1 c in both US and UK standards. You can also find conversion charts for pints and gallons. If you are baking or cooking, it’s important to know the conversion chart for different types of measuring devices.
For measuring dry ingredients, you’ll need to use a measuring cup. They are made of plastic or metal and come in four different sizes. The cups are usually designed so that they can be easily leveled from above. However, if you’re looking to make a drink, a standard measuring cup is the better option. These cups are easy to level and can be used with a spoon. A quart-size cup is the most common size.https://www.youtube.com/embed/0-YwUNTSr54
Converting Units of Capacity
In order to convert units of capacity, we must first determine the size of the volume. This can be done by using the factor label method. As shown below, a gallon is much larger than a pint, so we should use a quart as an intermediate unit. The same goes for ounces and cups. You will need to use the appropriate formula for the conversions, however.
converting a larger unit to a smaller unit
You may want to convert a larger unit to a smaller one. The process is very simple and involves multiplying one unit by its equivalence. In this case, the larger unit is a kilometer and the smaller one is a decimeter. First, determine what the size of each unit is. In this case, a kilometer is one meter squared. Next, multiply this figure by the power of ten.
You can also use a factor label to convert a larger unit into a smaller unit. This method is much easier than you might think. It is a great way to convert the size of a ring or a shoestring to the size of a metric unit. And it is a great way to make your math skills work for you. Once you understand the process, you will be able to convert any type of measurement.
converting a volume to a volume
When converting a volume, you must consider the units used. In the US, the customary system of measuring volumes uses cups, pints, quarts, and gallons. To convert one unit to another, multiply the size of the unit by the number of larger units. For example, a gallon is equal to four quarts and one pint is equal to two cups.
If you’re cooking at home, converting a recipe from one volume to another is critical. When making a dish, it’s important to take into account the volume as well as the weight of the ingredients. While this can be challenging, there are many tools that can assist you in this process. For example, the website Aqua-calc offers a database of common food items, which you can use to convert volume to weight in U.S. and metric units.
A quart is the same size as a small cup of milk. A gallon is about one-sixth the volume of a quart. The metric system is widely used, but the imperial system is the oldest. Before the metric system became the standard, many countries only used the Imperial system. Therefore, it was necessary to develop a system that would allow more countries to use one system of measurement.
If you’re unsure of the unit’s sizing, check out the “Gallon Man” infographic and make sure students understand the differences between dry and fluid ounces. Once they understand the differences, they can begin to convert their own volumes. This information can be very useful for your students in converting fluid and dry ounces into quarts, pints, and gallons.
To convert a volume to a volume in gallons, you need to consider the source of the measurement. Many recipes are written in cups and ounces, but in the U.S., the same recipe could be written in pints and quarts. If you’re using a recipe from an imperial system, make sure you convert it to the U.S. system, and vice versa if it is from an American cookbook.
In the US customary system, a quart is the smallest liquid volume unit. One US liquid quart is equal to two US liquid pints. Another unit, a quart, is equal to 32 ounces. The gallon is the largest liquid measurement unit, equal to one liter. So, what’s the difference between a cup and a gallon?
converting a fluid ounce to a fluid quart
In the United States, you can measure liquids in ounces and quarts. However, other countries use different measurement systems. In the United Kingdom, the measurement unit is the metric system, which is nearly identical to the US system. To convert fluid ounces to quarts, you should first determine the volume of your liquid. Then, you can convert the ounces into a quart, if you want.
There are two ways to convert between the ounce and quart. Firstly, you can use a fluid ounce converter. This will give you a conversion table, which you can use to convert quarts into ounces. The table contains example conversions and formulas. It will also provide a conversion chart for quarts from US fluid ounces. Lastly, you can find a table of liquid volume units in the US.
The US quart contains 32 fluid ounces. UK quarts contain 37 fluid ounces. US quarts are also known as pints and cups. There are four quarts in one gallon. To convert between ounces and quarts, simply divide the US fluid ounce by 32. You can also use imperial ounces to convert fluid ounces.
One of the most common liquid measurement units is the quart. A quart is equivalent to 32 fluid ounces. Two pints are equal to one fluid quart. Hence, the fluid ounce to quart conversion table can be used to convert between pints and gallons. If you want to measure liquid in other quantities, you can use quarts to pints.
The US customary system uses the ounce as its standard measurement unit for liquids. It is equal to one eighth US cup or a half-cup. It is also equivalent to 1.040842731 Imperial Fluid Ounces. Moreover, a fluid ounce can be equal to 2 tablespoons or six teaspoons. The name “ounce” is derived from the old Latin word onza.
To convert fluid ounces to quarts, you must first understand the different units. Fluid ounces are a subset of the US liquid quart, which is one-fourth of a gallon. It is not the same as the imperial or dry quart. However, the metric system is generally used in the US and is abbreviated as qt. In the United States, you can also use fluid ounces in liquid measurements as well.https://www.youtube.com/embed/0-YwUNTSr54
How to Convert Fluid Ounces to Gallons
If you’ve ever tried to make a recipe and realized it only had a quart of soup, you know how frustrating it can be. Sometimes the conversion can be a little complicated, and making the wrong conversion can ruin your recipe. Fortunately, there are simple solutions to this problem, which make converting fluid ounces to gallons a snap! Read on to learn how to convert fluid ounces to gallons.
Converting fluid ounces to quarts
If you’re trying to convert fluid ounces to quarts, you will need to first find the right unit. A fluid ounce is equal to 0.03125 quart in the US and British systems. You can multiply the amount of ounces by 32 to get the volume of a quart. Then, multiply the number of fluid ounces in a quart by 32.
A quart is a convenient cooking measurement that can hold both wet and dry ingredients. Whether you’re cooking a pot of soup or preparing a delicious meal, knowing how much liquid one quart contains can help you determine the right amount of liquid to add to the dish. This conversion works with the same volume to mass ratio. A fluid quart equals 32 fluid ounces in the US system, but 946 milliliters in the Imperial system. Knowing how many fluid ounces you’ll need to cook a dish can cut down on the time it takes to prepare the meal.
There are a few ways to convert fluid ounces to quarts. One way to do it is by using the metric system. One fluid ounce equals 0.03125 quart. This system is most commonly used in the United States, where a fluid quart is equivalent to two pints. The UK uses a similar method. To convert fluid ounces to quarts, simply divide the amount of fluid ounces by 32.
When converting liquid ounces to quarts, it is important to know the difference between a fluid ounce and a quart. For example, one quart equals 37 fluid ounces, and a half gallon is six cups. In the United States, a quart is one pint, four quarts, or five quarts. These fluid ounces are all based on volume and weight.
Fortunately, there are a variety of converters that can assist with your conversion. These online tools can convert fluid ounces to quarts with an ease. By learning about the differences between fluid ounces and quarts, you can determine how much liquid you need in a certain situation. If you’re looking for a simple conversion from fluid ounces to quarts, you can use the free online calculator to make your conversion.
For those who are not familiar with the term quart, a quart is a volume of one fourth of a gallon or two pints. This unit of volume is used in the US and in the UK. The US customary measurement system uses the qt abbreviation “qt.” It is worth noting that a quart equals 1.13 litres in the United States, while a quart is 0.94 liters in the UK.
Adding soup to a potluck
You have a few options when it comes to bringing a soup to a potluck. You can either bring it in glass jars or make it in an insulated container and wrap it in a warp towel for transport. Either way, the soup will stay warm and safe. If you are taking it on a long trip, you may want to reheat it so it will stay warm. If you have to carry a large quantity of soup, you may consider purchasing a 1-gallon thermos. This will cost you a little more money, but it can be used several times.
Converting fluid ounces to gallons
Knowing the conversion formula between fluid ounces and gallons is an important skill to master. It is especially useful if you need to purchase a large quantity of drinks in one go. For example, twenty-four bottles of 32 ounces equal seven and one-half gallons of water. There are several ways to convert fluid ounces to gallons. These methods are listed below.
o To convert the size of a gallon to a fluid ounce, first calculate the volume. One ounce is equal to 0.00781 gallons. Usually, one ounce is equivalent to about three quarts. You can use a converter to figure out the volume of a gallon, or any other quantity for that matter. Once you know the volume of your fluid, you can convert it to gallons.
o To convert fluid ounces to gallons, divide the amount of liquid by 32. Then, multiply the result by four. You can use the same formula for imperial units as well. You can also convert fluid ounces to gallons by multiplying the units by two. It is important to understand that the conversion formulas for liters and pints are similar, but different.
o One gallon contains 128 fl oz, or a little less than eight pints. You can also use a US gallon to convert the volume of liquid in a UK quart. The UK uses the imperial ounce. A quart is equal to 240 fl oz, and a pint is equal to four cups. A two gallon container contains 240 fl oz, which is approximately the same as a half gallon.
o Using an online units converter is a helpful teaching tool. Students in culinary schools and classrooms can use the converter to convert fl oz into gal units. It’s also a great resource for home cooks who are learning about the units. This handy tool is free and can be found online at a website dedicated to culinary volumes and capacities. A quick and easy way to convert between fluid ounces and gallons is to use the units converter.
o The gallon is the standard unit for fluid volume in the US, the United Kingdom, and many Commonwealth countries. It contains four quarts of liquid. The imperial gallon, which is used in the UK and Canada, is larger by approximately ten percent. If you’re not sure how to convert between the two, it’s useful to consult a reference chart. It’s an important skill to learn if you’re working with measurements and converting between the two systems.https://www.youtube.com/embed/4WdTad443Aw
Converting 3.4 Liters to Ounces
When setting out ingredients in your kitchen, have your measuring gadgets ready and within reach. An organized kitchen will make the cooking process faster and easier. In the Imperial System, one quart is equal to 32 ounces. The Imperial System was first used in Great Britain, and the U.S. remained a member of the system when converting from other countries. In the United States, 32 ounces are equivalent to one quart.
If you want to convert 3.4 liters to ounces, you have to know which unit of measurement you’re using for your fluid. Here are some suggestions that will help you convert 3.4 liters to ounces. If you know the ounce unit you’re using, the conversion will be quick and easy. You can also visit the sites listed below for more information.
First of all, you have to know the volume and weight of each unit. One liter is equal to 100 cc, and 3.4 liters is equal to 340 cc. In the US, 3.4 liters is the standard liquid container for beverages. This unit is used for measuring rice and sake. If you don’t know which unit of measurement you need, check out the table below.
For metric conversions, a quart is equal to one quarter of a gallon, or 3.3 liters. The Imperial quart, however, is 20 percent larger than a quart. If you’re unsure about the conversion, you can refer to the Imperial quart. You can also find out how many pints are in a quart. This can help you know how much you should expect to drink in a quart.
The conversion between a quart and a pint is easy. You just need to multiply 3.8 liters by 1.05669 to get the equivalent amount in quarts. This is the equivalent of one pint, four ounces, or one quart. But, you might want to consider a liter in another system, like milliliters. The liter is a common measurement, and is often used in cooking.
A liter is a volume unit used in non-SI metric systems. It’s equal to one cubic decimeter, or 1,000 cubic centimeters. It contains one kilogram of liquid water. A liter is approximately the same as 8.031 pints, or approximately 16 cups. It is also equivalent to two tablespoons or three teaspoons. Therefore, 3.8 liters equals 8.031 pints.
If you’ve ever tried to cook or measure something in quarts or pints, you’ve probably wondered how to convert the measurements. In fact, converting a pint to a quart can be tricky, particularly if you’re dealing with a liquid. The measurement units are different depending on whether they’re imperial, US, or both. In the case of liquids, a pint is equivalent to about 66.8 ounces, while a quart is about the same volume as a pound.
The ounce is a unit of volume, and it is commonly used in the United States. It is used in food and beverage measurements. One pint equals a quarter, and four quarts equal a gallon, which means that eight pints would not be equal to a gallon. In fact, the British imperial ounce is about 20% larger than the American system. Therefore, it is not hard to find a conversion for 2 pints to oz.
In the United States, pints and quarts are measured in fluid ounces. In the United Kingdom, a fluid quart is 32 ounces. The exact conversion between the two systems is difficult, but is possible. There are many conversion tables online. One of the easiest ways to convert a quart to pints is to multiply the number of pints by the amount of liquid it holds.
A quart is equivalent to a quarter gallon. However, quart measurements differ because of the differences in gallon sizes. Using the metric system, two pints equal a quart. In the US, the quart is used in cooking but is rarely used in England, Canada, and Australia. The metric system is more widely used and is more accurate. Despite the differences between the two systems, the quart‘s measurement is the same.
The metric system uses the units of volume and capacity and is used in most countries. In the United States, the metric system is used while in the United Kingdom, the metric system is used in Australia. In countries where English is the primary language, the old system known as English units is used. In this case, the same amount of liquid can be held in different measuring cups, but the volume is the actual amount of liquid inside the cup. The US contemporary system is different from the one used by the US Food and Drug Administration (FDA). In this case, the differences in measurements will add up, especially when measuring larger quantities.
Moreover, it’s important to know the difference between quarts and pints. For example, a pint is equivalent to two cups. Two cups equal a quart, four pints are equivalent to two quarts, and two quarts are equal to one gallon. In addition, one pint has equal volume as two cups. If you are using a quart to measure liquids, then four quarts are equal to 16 cups.
The metric system was adapted by the U.S. government before Great Britain went to the metric system. The British Imperial System, or BIS, is still in use today. This system uses volume instead of weight and the units of liquid volume are fluid ounces. Milk is 2 to three percent denser than water and weighs about 1 pound. If you are measuring a liquid by volume, you must divide the volume by four.
If you want to convert sixteen cups into quarts, simply multiply the value in cups by 0.25. Or, you can use the Volume converter to find the equivalent measurement in quarts. The following table compares 16 cups to one gallon. You can use the table to determine the amount of water needed for a single gallon recipe. This information will help you convert a variety of liquids, including milk.
Both the US and metric systems are used for measuring the same ingredients. However, it is important to note that measurements in the US system may not be equivalent to those in the metric system. While measurements are typically in quarts, it is common to see both metric and US measurements in recipes. For example, if a recipe calls for a pint of milk, 16 cups of pint quart ounces will be equivalent to approximately one cup of milk.
The conversion table also lists the amount of water in US fluid and dry pints. Using the US metric system, the conversion chart also gives the equivalent volume of 16 cups of pint quart ounces. By using the formula above, you can convert 16 cups of pint quart ounces to quart ounces. However, it is important to note that converting between US and metric cups is not always easy. Fortunately, there are plenty of online calculators to help you convert between the two units.
Whether you use imperial or metric measurement, it is important to understand the differences between fluid and dry ingredients. It’s easy to convert between liquid and dry ingredients with the proper measurement. Just remember to check your ingredients’ labels. You can find recipes that call for one cup of liquid and another cup of dry. Then, when you are ready to cook, you can simply measure the liquid amount with your measuring device.https://www.youtube.com/embed/4WdTad443Aw
How to Use an Ozs to Quarts Chart
The ounces to quarts chart is a handy tool when converting from one fluid measurement to the other. It gives you an accurate representation of volume and helps you convert between different measurements in a matter of seconds. In addition, it shows you the weight in ounces and the volume in quarts. Here are the steps for converting ounces to quarts:
Converting fluid ounces to quarts
A fluid ounces to quarts chart is a useful tool for converting liquid measurements. For example, a pint is equal to five cups or 20 fluid ounces. This chart will tell you how many fluid ounces are in one pint, and how many are in a quart. You can also convert fluid ounces to quarts by multiplying a unit of ounces by 32 to get the correct conversion.
The ounce is a measurement unit in the imperial system. It is used to measure liquids and dried goods. In the United States, this measurement is equivalent to one fluid quart. However, if you are using a liquid recipe, you’ll want to use quarts. If the recipe calls for ounces, divide it by two. That will give you the proper measurement.
In the UK, the quart is a unit of volume, and is often abbreviated as fl oz. A fluid quart is equivalent to about 950 ml, which is the same as two pints. The quart is also equivalent to four cups. You can easily convert from one unit to the other by multiplying the number of cups by 32.
Fluid ounces can be difficult to convert. US fluid ounces are the most commonly used measurement system, and are similar to Imperial quarts. However, they do not have the same meaning as ounces of weight, and they aren’t the same size. So, when converting between imperial quarts and US fluid ounces, always remember that the US fluid ounce is one-third of a gallon.
Understanding the conversion between US quarts and fluid ounces is vital for cooking, and it’s essential to understand the units when preparing a meal. You might even find yourself cooking something that’s impossible because your measurement was wrong. While different countries use different systems for measuring liquids, it’s still crucial to understand what the measurements mean when converting a recipe. With a little practice, you’ll be able to convert any quantity of liquid into another.
A quart is a measurement of liquid volume, and it can be defined in many ways. In the United States, it is equivalent to one-eighth of a gallon. In the United Kingdom, a quart is one-fourth of a gallon. Whether you’re converting US fluid ounces to quarts, you’ll need to check your conversion chart for the correct conversion.
Converting weight to volume
A conversion chart is helpful when you want to calculate weight and volume of an object. It is an easy way to determine volume without having to spend time converting between different units. First, you must know the equivalents of each unit. For example, one fluid ounce of water weighs around an ounce. Once you know this information, you can convert pints to gallons and vice versa.
Knowing how many ounces are in a quart will make baking and other cooking easier. Many recipes call for liquid ingredients and have a fluid ounce measurement. To know how much liquid ingredients are in a quart, you can divide a recipe into four cups, a quart equals 1/4 gallon and two pints equal 16 fluid ounces. Knowing how to convert between the two measurement units will speed up your cooking time dramatically.
Fluid ounces and quarts are not the same, but they are close. Quarts were medieval English units used for both dry and liquid measurements and ranged in volume between 0.95 and 1.16 litres. The Miller’s Tale, by Geoffrey Chaucer, used quarts as a measure of beer. To convert ounces to quarts, multiply the weight by 32.
Another difference between ounces and quarts is that liquids and solids are different. The volume of liquids is the same but the weight of solids is different. Therefore, liquids are heavier and solids are lighter. If you want to know how much water a gallon of water weighs, you should use the metric system. The metric system is used by most countries and is recognized internationally. Most scientists, doctors, and other officials use the metric system.
You can also use a calculator to convert weight to volume. Most recipes list liquid amounts by volume rather than weight. In most cases, you can assume ounces are fluid ounces unless the recipe specifies otherwise. When in doubt, use a scale and weigh the liquid. The ounce is a customary unit of weight in the United States. It can be abbreviated as oz.
There are a number of conversion charts available online. You can also use your cell phone to look up a particular unit. For example, you can ask your virtual assistant to calculate how many cups are in a cup or how many teaspoons in a pint. Once you have the answer, check it against the conversion chart. If you have a virtual assistant, you can also use an app.
Liquid measuring cups indicate 1 cup = 8 ounces
While the standard measurement for liquids in a cup is 8 ounces, this does not always apply in liquid-to-solid proportions. In fact, liquid-to-solid ratios can be highly variable, and the most accurate liquid measurement is in fluid ounces. To convert ounces into cups, multiply the liquid’s volume by 0.125 cup, which is the same as one fluid ounce. To convert between cups and fluid ounces, you can use a standard cup-to-ounce conversion chart.
The US and UK cup sizes are different, but you can easily convert between the two systems. The US standard cup holds 240 milliliters or 8.11 ounces, while the UK standard cup measures 250 milliliters or 8.45 fluid ounces. Liquid measuring cups are typically made of plastic or metal, and indicate their cup values on the handle. If you want to use a dry measuring cup, you should sift the liquid in the cup first.
In baking, liquid ingredients are often measured in ounces. This is because liquids are lighter than dry ingredients and can change in weight. To make liquid measurements easier, use a liquid measuring cup, which will always indicate the correct amount. For example, a cup of flour is equal to 4.5 ounces, while a cup of water is the same as eight fluid ounces.
A liquid measuring cup is marked 1 cup = 8 ounces because the meniscus forms on the top of the liquid. This meniscus is impossible to see if the dry measure is filled to the top, so the liquid is hidden from the measurement. The liquid measuring cup has an additional room above the top, which makes it easier to read. This difference is crucial when measuring liquids and can save you a lot of trouble in the long run.
A liquid measuring cup is marked with an ounce marker on the side. For water-like liquids, this is the same as ounces by weight. For other liquids, their density will determine how much will fit in a cup. Using a liquid measuring cup means that you will never have to worry about calculating the volume of the liquid. The cup will be filled to the desired level.
When preparing a dish, the liquid-to-solid ratio is important to determine the right amount of flour and other dry ingredients. While one cup of dry ingredients is equal to 4.5 ounces, a cup of chocolate chips equals more than six ounces. If you are using liquid-to-solid ratio, then you can measure the dry ingredients with a cup instead of a scale.https://www.youtube.com/embed/9UVgO8zS474


|As with all my “From Scratch” books, I make no assumptions about what you know about the subject. I start with a very few basic facts about the subject, develop the theory from the facts, and finally put the theory into practice with an application. Occasionally, math is involved, but I keep it at the basic algebra level whenever possible and do the tricky stuff in an appendix. I also use simulation and breadboarding (actual hardware testing) to verify the theory. In short, I take the mystery out of the subject and open possibilities for the reader to explore the subject beyond the limits of my book. Use the links below to learn more about my “From Scratch” books.


- To give all students a sound understanding of the basic mathematics they will need in order to cope in today’s technological society.
- To provide students with the background knowledge to enable them to pursue tertiary mathematical studies, or to enter other fields of study requiring secondary schools mathematics.
To achieve these aims we offer a comprehensive mathematics program to all students. In years 8, 9 and 10 most students follow the main course in accordance with the Curriculum Framework. The focus of the Year 8 course is on fostering interest in mathematics with the classroom teacher providing remedial and extension work where necessary. Opportunities exist for extension work in a combined Year 8/9 class, with a specialist teacher working with a group of students. In Year 10 students may select from a range of semester long courses depending on their ability, interest and future plans in the study of Mathematics.
Courses on offer include MAT 1B/1C, MAT 1D/1E, MAT 2A/2B, MAT 2C/2D, MAT 3A/3B, MAT 3C/3D and Specialist Mathematics MAS 3A/3B and MAS 3C/3D. Most of our students select two units – each of a semester’s length during Year 11. Students pursuing a mathematical career can take four units in Year 12 which may include Specialist Mathematics units.
Extra Curricula Activities
Students of all levels are encouraged to participate in extra-curricula activities of a mathematical nature such as Australian Mathematics Competitions, the ASX Schools Sharemarket Game, the ABS Census at School, the World Maths Day and Numeracy Days and Maths Quizzes throughout the year.


The Origin of Sudoku
Sudoku, a globally adored puzzle game, has charmed millions with its intriguing blend of logic, numbers, and patterns. Its origins, shrouded in history, trace back to ancient times, yet its modern iteration emerged only in the late 20th century. The roots of Sudoku can be found in various number-placement puzzles that have existed for centuries. Ancient number puzzles were prevalent in different cultures, including the 18th-century Swiss mathematician Leonhard Euler’s work on Latin squares, which laid a foundational concept for Sudoku. However, the Sudoku we recognize today took shape in the latter half of the 20th century. Howard Garns, an American architect, is often credited with creating the modern Sudoku puzzle in 1979. Originally known as “Number Place,” his puzzle gained popularity in puzzle magazines but remained relatively localized.
It wasn’t until 2004 when a retired Hong Kong judge, Wayne Gould, discovered Sudoku during a trip to Japan and recognized its potential for wider appeal. He introduced Sudoku to The Times in Britain, which propelled its global popularity.
The beauty of Sudoku lies in its simplicity. A typical Sudoku grid consists of a 9×9 square grid, divided into nine 3×3 subgrids. The puzzle begins with some numbers already filled in, and the objective is to fill the grid so that each row, column, and subgrid contains all the digits from 1 to 9 without repetition.
Sudoku’s widespread popularity transcends borders, age, and culture. Its appeal lies in its ability to challenge the mind, offering a perfect blend of logic, strategy, and entertainment. Whether enjoyed leisurely in a newspaper or through digital platforms, Sudoku continues to captivate and stimulate millions of minds worldwide.
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The Benefits of Sponsorship and the Mostbet Platform
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Maximizing Success with Statistics and Mostbet
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The Importance of Statistics in Betting
When it comes to sports betting, a comprehensive understanding of statistics is crucial for making informed decisions and increasing the chances of success. By analyzing historical data and relevant statistics, bettors can uncover patterns and trends that can impact the outcome of an event. In this article, we will delve into how to use statistics to make accurate predictions and optimize returns on bets.
Critical Statistics to Consider
There are several statistics that can be useful in analyzing sports events and predicting outcomes. Some of the most important include:
- Head-to-head records: Comparing the past performances of the two teams or players competing against each other can provide valuable insight into their strengths and weaknesses.
- Recent form: Analyzing the recent performance of a team or player can help to identify any trends that may impact the outcome of an event.
- Home/away records: Some teams or players may perform differently at home or away, making this a key factor to consider when making predictions.
- Injuries and suspensions: Key player injuries or suspensions can greatly affect a team’s performance and should be taken into account when making predictions.
- Weather conditions: Weather can play a significant role in certain sports, so it’s important to factor in the forecast when placing bets.
Using Statistical Models for Predictions
There are several statistical models and algorithms that can be used to predict the outcome of sports events. These models analyze historical data and use mathematical formulas to calculate the probability of each possible outcome. Some of the most popular statistical models used in sports betting include:
- Poisson Distribution: A statistical model that predicts the number of goals or points scored in a match based on the average number of goals or points scored by each team in previous matches.
- Elo Ratings: A rating system that calculates the relative skill levels of teams or players based on their past performance. The higher the Elo rating, the stronger the rating, the stronger the team or player is considered to be.
- Monte Carlo Simulation: A statistical method that involves simulating a large number of possible outcomes for an event and calculating the probability of each outcome based on the results of the simulations.
- Regression Analysis: A statistical technique that examines the relationship between variables and uses the data to predict future outcomes.
It’s important to note that no single statistical model is foolproof, and using a combination of models can often lead to more accurate predictions. It’s also essential to stay informed about the latest news and developments in the world of sports to make well-informed betting decisions.
Applying Statistics on Mostbet
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1 edition of Covering the de BRUIJN graph found in the catalog.
Covering the de BRUIJN graph
Roy Dale Bryant
Written in English
|The Physical Object|
|Number of Pages||102|
The standard way to do this uses the de Bruijn sequence of length. However, as probes are double stranded, when a k-mer is included in a probe, its reverse complement k-mer is accounted for as well. interpreted as adjacency matrix of some covering graph of the weighted de Bruijn graph. The obtained results are similar to those in . References  D. Coppersmith, R. C. Rhoades, and J. M. Vanderkam. Counting de Bruijn Sequences as Perturbation of Linear Recursions. arXiv: v  22 May  C. Delorme and J-P. Tillich.
A de Bruijn sequence has length, which is the minimum possible for covering all k -mers. A de Bruijn graph of order k is a digraph in which for every possible k -mer, there is a vertex denoted by. An edge may exist from u to v if and. Each edge represents a unique : Yaron Orenstein. uct the de Bruijn graph for k = 3. TAC ACA CAG AGT GTC TCA AGA e that the order and relative alignment of the reads Return a set of paths covering the graph, such that all possible assemblies contain these paths. ACT CTG TGA GAC ACC GAA AAT ATG GAG AGT GTG.
MEGAHIT [ 17]) follow the de-Bruijn graph paradigm. Alignment-free sequence comparison [ 18] is another major application of de Bruijn graphs, following the idea that similar sequences share similar k-mers, and comparing de Bruijn graphs thus provides a good measure of sequence. Reverse de Bruijn: Utilizing Reverse Peptide Synthesis to Cover All Amino Acid k-mers Yaron Orenstein Address correspondence to: Dr. Yaron Orenstein, School of Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beer-Sheva , IsraelAuthor: Yaron Orenstein.
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by Bryant, Roy Dale. Publication date Topics MathematicsPages: Covering the de Bruijn graph Dedicated to Professor Ernst S. Selmer on the occasion of his seventieth birthday.
Author links open overlay panel Roy D. Bryant Harold FredricksenCited by: 4. Covering the de Bruijn graph Frugal and greedy algorithms In the previous section, the set S is constructed by including vertices into S in an order defined by their position along a full sequence.
Here we include vertices into the set S according to another criterion. After k vertices have been placed. The topology of its de Bruijn graph is not too different from the same for gene regions of the underlying genome.
The difference lies in relative frequencies of short reads covering various nodes. To explain the difference, we first consider a transcriptome with only two genes, among which one is.
Typically a de Bruijn graph-based genome assembly algorithm works in two steps. In the Covering the de BRUIJN graph book step, short reads are broken into small pieces (k-mers) and a de Bruijn graph is. also give rise to a special graph called the de Bruijn graph B n.
The de Bruijn graph is a directed graph with 2n nodes. Each node has 2 arcs enteringnit and 2 arcs going out of it. Thus, there are a total of 2 n1arcs in B n In this thesis, we define a cover of the de Bruijn graph, different from the usual graph theoretic cover.
The de Bruijn graph B for k = 4 and a two-character alphabet composed of the digits 0 and 1. This graph has an Eulerian cycle because each Cited by: of the undirected de Bruijn B.d;n/graph which will be the symmetric covering of G f whose spectrum can be calculated easily.
The symmetric covering of a directed weighted graph G, denotes here the associated undirected graph G0obtained by replacing each directed edge of weight l by an undirected edge of the same weight.
In this case if A. De Bruijn graph A procedure for making a De Bruijn graph for a genome Start with an input string: a_long_long_long_time Take each k mer and split into left and right k-1 mers Pick a substring length k: 5 long_ longong_ Add k-1 mers as nodes to De Bruijn graph (if not already there), add edge from left k-1 mer to right k-1 mer.
In graph theory, an n -dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices, consisting of all possible length- n sequences of the given symbols; the same symbol may appear multiple times in a sequence.
If we have the set of m symbols. LEMMA Let w' and w" be two distinct de Bruijn sequences of span n - 1, and s', s" be de Bruin sequences of span n obtained from w' and w" by the recursive construction.
Then [s'] =* [s"]. Proof. Since w' is a de Bruijn sequence, it has even weight and the Dmorphic preimages r' and V form two disjoint paths that cover the de Bruijn graph G".Cited by: The De Bruijn graph. B (2, 2) is given below in Figure 2. Definition 5. In , Esfahanian and Hakimi discuss a modified version of a De Bruijn graph called an undirected De Bruijn graph, denoted UB (d, n).
An undirected De Bruijn graph is a De Bruijn graph modified so that: 1) All edges which are self loops are Size: 2MB. We study the NP-hard Sound Covering Cycle problem which has as input a paired de Bruijn graph \(G\) and two integers \(d\) and \(\ell \), and the task is to find a length-\(\ell \) cycle \(C\) containing all arcs of \(G\) such that for every vertex \(v\) in \(C\) and the vertex \(u\) which occurs exactly \(d\) positions after \(v\) in \(C\), we Author: Christian Komusiewicz, Andreea Radulescu.
Abstract. Paired de Bruijn graphs are a variant of classic de Bruijn graphs used in genome assembly. In these graphs, each vertex v is as-sociated with two labels L(v) and R(v).
We study the NP-hard Sound Covering Cycle problem which has as input a paired de Bruijn graph G and two integers d and ‘, and the task is to nd a length-‘ cycle C con. Enhanced De Bruijn Graphs • Usefulness of a de Bruijn graph increases if we annotate each note with useful information • Basic information might include the number of times each word was observed • More detailed information might include the specific individuals in which the word was presentFile Size: KB.
Advantages and disadvantages of using de Bruijn graphs for assembly Further readings 3. De Bruijn Graph of the Genome and a Simple Assembler De Bruijn Graph of a known genome De Bruijn graph of a small sequence Double-stranded nature of the genome De Bruijn graph in repetitive regions.
Abstract. The de Bruijn graph assembly approach breaks reads into k-mers before assembling them into string graph approach forms contigs by connecting two reads with k or more overlapping nucleotides. Both approaches must deal with the following problems: false-positive vertices, due to erroneous reads; gap problem, due to non-uniform coverage; branching problem, due to erroneous Cited by: Since De Bruijn graphs are Hamiltonian, such De Bruijn sequences exist for any value of p and k, and can be constructed from a Hamiltonian path in a De Bruijn graph.
2 1 In this expression, numbers should be calculated modulo 2 k, as all vertices correspond to congruence classes modulo 2 by: 2. The De Bruijn graph for n and k has one vertex for each of the kn−1 words of length n − 1 from an alphabet of size k. We put a directed edge w1 → w2 from word w1 to word w2 if the last n− 2 digits of w1 agree with the ﬁrst n −2 digits of w2.
Size: 40KB. Introduction. The de Bruijn graph is a data structure first brought to bioinformatics as a method to assemble genomes from the experimental data generated by sequencing by hybridization .It later became the key algorithmic technique in genome assembly [2,3] that resulted in dozens of software tools .In addition, the de Bruijn graphs have been used for repeat classification , de novo Cited by: In graph theory, the standard de Bruijn graph is the graph obtained by taking all strings over any finite alphabet of length as vertices, and adding edges between vertices that have an overlap of.
In the following, we consider assembly using a slightly modified version of the standard de Bruijn graph from the L-spectrum of a genome.Goal: to construct a B(2, 4) de Bruijn sequence of length 2 4 = 16 using Eulerian (n − 1 = 4 − 1 = 3) 3-D de Bruijn graph cycle.
Each edge in this 3-dimensional de Bruijn graph corresponds to a sequence of four digits: the three digits that label the vertex that the edge is .


Abstract: This talk consists of two parts related to the invariant submanifold of Kahler manifold. The first
part is about the variational characterizations of holomorphic submanifolds in Kahler manifold. This is based
on joint work with Claudio Arezzo at ICTP. We will also mention recent progress on variational
characterizations of invariant submanifold in Sasaki manifold. The second part is about two approaches to the
existence of holomorphic curves in Kahler surface. One is the symplectic mean curvature flow and the other is
the deformataion of symplectic critical surfaces. This is based on joint work with Xiaoli Han and Jiayu Li.


September 24, 2019
Dear Parents and Families,
This letter is to share with you a change to your child’s Mathematics teacher for classes 61R, 61E, 61S, 61I, and 61L. Due to an unexpected family leave at the beginning of the school year, we had a math vacancy that we have recently filled.
In order to ensure that student learning was not impacted Ms. Brando taught the schedule for the vacancy and Mrs. McDonough, our Mathematics coach, supported classes 61L, 61S, and 61I. We are excited to announce that Mr. Simione will be joining our 6th grade team as the lead Mathematics teacher for classes 61E and 61R. Mr. Aguilar will continue to be the co-teacher for classes 61I AND 61S.
Please rest assured that your child will still be receiving the same high quality math instruction and curriculum as before and that we will do our best to make this a smooth transition. Since Ms. Brando, Mr. Simione, and Mr. Aguilar are on the same team, they share the same classroom procedures, rules, policies, lessons and supply list. All of the teachers will be available for any extra support or questions that the students may have. In addition, Ms. McDonough will be shifting her support to our new teacher, Mr. Simione, in order to support the students as well as his professional growth. These changes will be effective this Thursday, September 26, 2019. Please see the table below for your child’s class information.
|Class||Current Math Teacher||Math Teacher 9/26/19 – June 2020||New Teacher Contact Information|
|61E||Ms. Brando||Mr. Simione with support from Ms. McDonough||Csimione96@gmail.com|
|61I||Mr. Aguilar and Ms. McDonough||Mr. Aguilar and Ms. Brandoemail@example.com|
|61L||Mr. Aguilar and Ms. McDonough||Mr. Aguilar and Ms. Brandofirstname.lastname@example.org|
|61R||Ms. Brando||Mr. Simione with support from Ms. McDonough||Csimione96@gmail.com|
|61S||Ms. McDonough||Ms. Brandoemail@example.com|
Supervisor of Mathematics


Is it possible to predict the popularity of a music genre based on historical data?
In this brief essay I will use some regression methods in R to understand if it is possible to predict the popularity of a music genre base on some empirical features and historical data.
Nowadays the music market size is huge, so it is fundamental to understand which musical genre is more promising and then finance it. The aim of the project is to predict the popularity of each genre, a feature with range 0–100.
To manage with this topic I used linear regression methods. The data used for the analysis are available on Kaggle (This is my profile https://www.kaggle.com/pesssinaluca) or in the site of Spotify.
The dataset is composed by 2664 different genres and 14 variables
- Popularity does not depend on the historical moment
- Popularity isn’t influenced by ither industry functions, as the distribution, marketing etc.
- Popularity can be summarized as a linear function of the others attributes, linear assumpion.
To better understand the data and how are distributed I divided the genres by High or Low popularity and plotted the features available in a radar plot, to see the R code check my Kaggle profile.
Some features like the speechiness and the liveness doesn’t seem to depend by the high or low popularity of the genre. Others like the acousticness or the energy are quite different based on the kind the genres, I will explore these features better in a second step.
Another fancy way to see the data is to plot them using a multdimensional plot using in addition to the axes also the size of the data point and the color. Using this plot is useful also to visualize some possible correlations among the variables, for example in this case there is a negative correlation between the energy and the acousticness, or a positive one between the acousticness and the popularity.
Check the outliers
The first think to do is to take a look to the data and try to understand some particular patterns and the outliers that we don’t need for the analysis. In this case I delated the very unpopular genres with some variables equal to 0.
Also some very characterized genres, passing to a dataset composed by 1527 genres and 13 variables.
Stay Hungry, stay simple
We always build up very complex methods to solve our data science problems, sometimes it is useful to beging from the simplest methods, these could be very useful and fast.
Using a lean approach I firtstly studied a one-variable step, then a multi-variable step.
I report only the results of the analysis.
Linear models doesn’t mean linear dependence!
It is fundamental to uderstand the inner dependences among the variables, so it is crucial to study the target variable. In particular I report a plot of the popularity against the loudness, it is possible to see how the relation is not linear, but quadratic. In this way we can implement a better model, adding the quadratic term.
The difference among the methods is shown in the formula used for the fitting were we can add the quadratic term. The Residual Squared Error (RSE) is 12.1 for the linear and 11.07 for the quadratic.
Using some other variables is it possible to reach a RSE of 8.37 and a R-squared of 0.61 . I used the models of the test set and plotted the results against the real data.
I will write a post to better investigate the methods used in this brief report.
Some advices for a good data science project.
- Focus on the data: insted of starting writing code and using complex method take some time to investigate the rought data, they are beautiful and useful!
- Make easy plots: plot the data is an art, train it and you will succeed.
- Use simple methods: Start using simple methods and add complexity to the model step by step.
- Reach an end: before starting make some questions, and if you answered them you finished your work. Don’t try to obtain something impossible to reach.
- Useful results: once you end your project check if your results are useful, this is extremely important!


National statistics gcse and equivalent results: 2015 to 2016 (provisional) 2014 to 2015' and 'revised gcse and equivalent results in england: 2014 to 2015. Edexcel gcse statistics coursework gcse maths statistics coursework 2015 marked by teachers all rights reserved. Gcse statistics 4310 focuses on handling data and provides a critical appreciation of statistics that is important in a wide variety of careers and in every day life. Operation and management phd thesis aqa gcse statistics coursework help dissertation des projets et des hommes graduate admissions essay help virginia tech. It is time to start thinking as an adult and get the best gcse coursework writing on gsce statistics coursework 2015 - 2018, coursework writing.
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I've added a new segment that permits sketching an arc segment. The path length is derived from trigonometric formulas and is "close" enough for its purpose, I assume. You'll have to decide for yourself if you choose to use it.
Thanks to Mr. Raiz for the formula I needed to do the calculation. It is setup to use as a middle segment as I assume that it probably wouldn't be used to start or end. Arbitrary assumption perhaps. The "hard part" (meaning time to work it out is short right now) is getting the arrow to point in the correct direction relative to the arc.
To download the new 2009 version CLICK HERE 2009.
To download the new 2008 version CLICK HERE 2008


Protestors at the State Capitol in Madison, Wis., on Wednesday, Feb. 16, 2011. (AP Photo/Andy Manis)
(CNSNews.com) - Only 39 percent of the eighth graders in Wisconsin public schools are proficient or better in mathematics, according to the U.S. Department of Education, despite the fact that Wisconsin spends more per pupil in its public schools than any other state in the Midwest.
In the National Assessment of Educational Progress tests administered by the U.S. Department of Education in 2009—the latest year available—only 31 percent of Wisconsin public-school eighth graders earned a “proficient” rating while another 8 percent earned an “advanced” rating. The other 61 percent of Wisconsin public-school eighth graders earned ratings below “proficient,” including 40 percent who earned a rating of “basic” and 21 percent who earned a rating of “below basic.”
The test also showed that the mathematics test scores of Wisconsin public-school eighth graders have remained almost flat since 1996 while inflation adjusted per-pupil spending has significantly increased.
In 1996, according to the U.S. Department of Education, Wisconsin public-school eighth graders scored an average of 283 out of 500 on the National Assessment of Educational Progress mathematics test. In 2009, they scored an average of 288 out of 500. In other words, the average mathematics test score for Wisconsin eighth graders increased by 5 points out of 500—or one percentage point—from 1996 to 2009.
Meanwhile, Wisconsin’s per pupil spending on public school students increased from $6,517 in 1996 to $10,791 in 2008. According to the Bureau of Labor Statistics inflation calculator the $6,517 that Wisconsin spent per pupil in 1996 dollars equaled $8,942 in 2008 dollars. That means that from 1996 to 2008, Wisconsin public schools increased their per pupil spending by $1,849—or 20.7 percent--in real terms while adding only one percentage point to their average eighth grader’s math score.
The $10,791 that Wisconsin spent per pupil in its public elementary and secondary schools in fiscal year 2008 was more than any other state in the Midwest.
Nationwide, according to the U.S. Department of Education, public schools are not doing a good job teaching children to be proficient in math. The average American eighth-grade public school student scored 282 out of 500 on the NAEP mathematics test in 2009, with only 25 percent earning a “proficient” rating and only 7 percent earning an “advanced rating.” The other 68 percent of American eighth grader were rated less than proficient in math.
The National Assessment of Educational Progress explains its student rating system as follows: “Basic denotes partial mastery of prerequisite knowledge and skills that are fundamental for proficient work at each grade. Proficient represents solid academic performance. Students reaching this level have demonstrated competency over challenging subject matter. Advanced represents superior performance.”
In fiscal 2008, the federal government provided $669.6 million in subsidies to the public schools in Wisconsin.


The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edit.
A Course of Pure Mathematics is a classic textbook in introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. First published in 1908, it went through ten editions (up to 1952) and several reprints. It is now out of copyright in UK and is downloadable from various internet web sites. It remains one of the most popular books on pure mathematics.
An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities by George Boole, published in 1854, is the second of Boole's two monographs on algebraic logic. Boole was a professor of mathematics at what was then Queen's College, Cork (now University College Cork), in Ireland.
Calculus Made Easy is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson. The original text continues to be available as of 2008 from Macmillan and Co., but a 1998 update by Martin Gardner is available from St. Martin's Press which provides an introduction; three preliminary chapters explaining functions, limits, and derivatives; an appendix of recreational calculus problems; and notes for modern readers. Gardner changes "fifth form boys" to the more American sounding (and gender neutral) "high school students," updates many now obsolescent mathematical notations or terms, and uses American decimal dollars and cents in currency examples.


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There is a $1 million prize for solving the Riemann Hypothesis and $250,000 available for anyone who discovers a new, really big prime number.I have supplemented these with some more possible areas for investigation.With a bit of ingenuity you can enrich even quite simple topics to bring in a range of mathematical skills. You should not have too much external links on your website. The links on the other websites are called external link.Fermat’s Last Theorem is one of the most famous such equations.
6) Continued fractions: These are fractions which continue to infinity.
9) Random numbers 10) Pythagorean triples: A great introduction into number theory – investigating the solutions of Pythagoras’ Theorem which are integers (eg. 11) Mersenne primes: These are primes that can be written as 2^n -1.
12) Magic squares and cubes: Investigate magic tricks that use mathematics. 13) Loci and complex numbers 14) Egyptian fractions: Egyptian fractions can only have a numerator of 1 – which leads to some interesting patterns. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions?
You can create links by adding rel="nofollow" tag, which is not searched by search engines. You also should add nofollow tag to the links, you think it doesn't need it.
This is the British International School Phuket’s IB maths exploration (IA) page.
Standard Level students and Higher Level students have their own revision areas. Code Breaking You may also enjoy taking part in our school’s code breaking website.


Gweru Polytechnic Admission Requirements
Gweru Polytechnic Entry Requirements
- For National Certificate (NC) courses; Courses marked * require Five (5) Ordinary level subjects with grade C or better including Mathematics and English language. Courses marked ** require Five (5) Ordinary level subjects including English, Mathematics and Science. The rest require Five (5) Ordinary level subjects including English language.
- For National Diploma (ND) and Higher National Diploma (HND) courses; Applicants must posses the full NC or HND respectively.
- For ND in Technical and Vocational Education (HEXCO) applicants must have ND, HND, Degree, or Class One Journeyman certificate


Amanda J. Bernard, CPA, CFE, CMA
Principal, Maillie LLP
Maillie LLP utilizes IDEA™ data analysis software, a powerful data mining tool used to perform data analysis quickly, by importing, analyzing and reviewing a variety of data. If you would like us to perform any of these data analysis procedures or would like more information on how you can use data analytics to improve your organization, please contact us at firstname.lastname@example.org.
Benford’s Law is a mathematical theory of leading digits, meant specifically for real-life numerical data sets distributed in a non-uniform way. The theory is based on probability of occurrences. A logical assumption seems to be that each number, 1-9, would appear as the leading digit of a number consistently at 11.1% (or 1/9) of the time. However, Benford’s Law actually states the number 1 will appear as the first digit of a number about 30% of the time, while the larger digits occur in the first position less frequently, with 9 appearing as the first digit less than 5% of the time.
Why does it work? Believe it or not, there is a certain logic behind Benford’s Law. A number that begins with 1 needs to increase by 100% to become a 2, while a number that begins with 5 needs to increase by only 20% to become a 6, and a number that begins with 8 needs to increase by only 12.5% to become a 9, and so on.
The history of Benford’s Law dates back as far as 1881; the phenomenon was then made popular in 1938 by the physicist Frank Benford after he tested it on data sets from 20 different domains, including surface areas of rivers, population sizes, molecular weights, numbers contained in Reader’s Digest, street addresses, and death rates. Today, Benford’s Law is used to detect possible red flags of fraud in financial and other data based on the assumption that people who make up numbers tend to distribute their digits fairly uniformly. The made-up figures simply do not follow the expected Benford’s distribution.
An example of fraud that can be easily detected using Benford’s Law is avoidance of purchase approval policies. One method used to avoid obtaining approval on a purchase transaction is to make sure the cost does not exceed the established threshold requiring approval by splitting larger transactions into multiple smaller ones. For example, if the threshold for approval is $5,000 and the expense data shows a spike in transactions beginning with the number 4, it could indicate someone is avoiding the organization’s purchase approval procedures.
Other data sets where Benford’s Law is especially useful include credit card transactions, customer balances and refunds, vendor disbursements, purchase orders, travel and entertainment expenses, and many more.
Maillie LLP can help you use data analytics, including these Benford’s Law examples, to analyze your financial data for potential red flag indicators of fraud. Contact us today for more information.


Tunxis students who are enrolled in Prealgebra, Elementary Algebra, and Intermediate Algebra are invited to stop by the Academic Success Center for “Math Mania,” a marathon of studying, on Friday, May 9 from 10 a.m.-2 p.m. This is specifically for students working on sample finals. Tutors will be available to review concepts and answer questions. Light refreshments will be provided. For more information, call 860.255.3570 or email email@example.com.
May 9, 2014 James Revillini


All right... have you ever noticed that when you think really hard about trying to not think about anything so that something random will come to you to write that it really doesn't work very well?
Yeah, I am noticing that right now.
Allright, here's an interesting math scenario that I just came up with.
Get out a piece of paper and a pencil or a calculator.
Pick a number between 4 and 36 (it must be an even number and it can't be 8 or 18 or 28). Take that number and add another number you pick between 38 and 52 to it (not 46 though). Now add 6 and divide the number you get by 2. Subtract 6 and double your answer.
Now divide that number by itself. I bet you got 1 as an answer. This will work almost 100% of the time.