quick conversion chart of millimeters to micrometer.1 millimeters to micrometer = 1000 micrometer.2 millimeters to micrometer = 2000 micrometer.3 millimeters to micrometer = 3000 micrometer.4 millimeters to micrometer = 4000 micrometer.5 millimeters to micrometer = 5000 micrometer.6 millimeters to micrometer = 6000 micrometer.Get Quote
In order to convert millimeters to micrometers you can use the formula: mm x 1,000 = µm, or simply shift the decimal point in the millimeter three places to the right.Mm to m conversion example.Sample task: convert 30 millimeters to micrometers.Solution: formula: mm * 1000 = m calculation: 30 mm * 1,000 = 30,000 m end result: 30 mm is.
Conversions table; 1 mil to micrometers = 25.4: 70 mil to micrometers = 1778: 2 mil to micrometers = 50.8: 80 mil to micrometers = 2032: 3 mil to micrometers = 76.2: 90 mil to micrometers = 2286: 4 mil to micrometers = 101.6: 100 mil to micrometers = 2540: 5 mil to micrometers = 127: 200 mil to micrometers = 5080: 6 mil to micrometers = 152.
1 micrometer (m) is equal to 1e-6 (m) meters to micrometers formula: there is a no need to stick to the lengthy conversion processes, just add the values into the given formula to get your results, the above converter also follow the same formula for conversions: micrometers = m x 1,000,000; how to convert meter to micro meter (m to m)?.
2 millimeter (mm) to micrometer (µm) converter calculator in length units,0.2 millimeter to micrometer conversion table and from 0.
20 micrometer to mils = 0.30 micrometer to mils = 1.40 micrometer to mils = 1.50 micrometer to mils = 1.100 micrometer to mils = 3.200 micrometer to mils = 7.87402 mils want other units? you can do the reverse unit conversion from mils to micrometer, or enter any two units below:.
To convert µm to mm, you can either move the decimal point 3 positions to the left, or use this formula: µm / 1,000 = mm.m to mm conversion example.Sample task: convert 500 micrometers to millimeters.Solution: formula: m / 1000 = mm calculation: 500 m / 1,000 = 0.50 mm end result: 500 m is equal to 0.50 mm m to mm conversion table.
Microns to micrometer (µ to µm) conversion calculator for length conversions with additional tables and formulas.Metric conversion > metric converter > length converter > microns conversion > microns to micrometer.
Surface roughness conversion charts and tables, definitions and data.Where: ra = roughness, average in micro-meters & micro-inches, rms = root mean square in micro-inches, cla = center line average in micro-inches.
The millimeter (symbol = mm), or millimetre (british spelling) is a unit of length in the metric system, equal to one thousandth of a meter, which is the si base unit.More definition+.In relation to the base unit of [length] => (meters), 1 micrometers (m) is equal to 1.0e-6 meters, while 1 millimeters (mm.
Micrometer (american spelling) or micrometre (british english spelling), abbreviation µm, is a unit of length in the international si metric system and is one millionth of a meter.Another name used for µm is micron.1 micrometer (µm) = 0.001 millimeters = 0.000001 meters (m) = 1000 nanometers = 0.0001 centimeters = 3.9370079 x 10-5 inches, 1 inch = 25400 µm.
How to convert micrometers to mils [µm to mil]:.03937007874 × l µm.How many mils in a micrometer: if l µm = 1 then l mil = 0.03937007874 × 1 = 0.How many mils in 95 micrometers: if l µm = 95 then l mil = 0.03937007874 × 95 = 3.Note: micrometer is a metric unit of length.Mil is an imperial or united states customary unit of length.
The micrometer (symbol: m) or micrometre (uk & international spelling), also commonly known as a micron, is an si derived unit of length equaling 1×106 of a meter (si.More definition+.In relation to the base unit of [length] => (meters), 1 pixels (px) is equal to 0.0002645833 meters, while 1 micrometers (m) = 1.
Cubic meter to cubic micrometer (m3 to µ) formula.To convert between cubic meter and cubic micrometer you have to do the following: first divide 1 / 1.0e-18 = 999999999999999872.Then multiply the amount of cubic meter you want to convert to cubic micrometer.
Diferent length units conversion from millimeter to micrometers.Between mm and µm measurements conversion chart page.Convert 1 mm into micrometer and millimeters to µm.The other way around, how many micrometers - µm are in one millimeter - mm .
Millimeter and micrometer are both the length units in the international metric system.One millimeter is equal to 1,000 micrometers.Formula: 1 millimeter = 1,000 micrometers.Symbol: millimeter: mm; micrometer: m; examples: 10 millimeters = 10 x 1,000 micrometers = 10,000 micrometers; 25 millimeters = 25 x 1,000 micrometers = 25,000 micrometers.
The millimeter (british spelling: millimetre, abbreviation: mm) is a unit of length in the si system (metric system).One mm is equal to one thousandth of the meter (british spelling: metre), which is the current si (metric system) base unit of length.One millimeter (mm) = 1000 micrometers (µm) = 1000000 nanometers (nm) = 0.000001 kilometers (km) = 0.1 centimeters (cm) = 0.001 meter (m) = 0.
Task: convert 24 millimeters to micrometers (show work) formula: mm x 1,000 = micrometers calculations: 24 mm x 1,000 = 24,000 micrometers result: 24 mm is equal to 24,000 micrometers.Conversion table.For quick reference purposes, below is a conversion table that you can use to convert from mm to micrometers.
For example, to convert 5 mm to microns, multiply 5 by 1000, that makes 5 mm is 5000 microns.Millimeters to micron formula.Micron = millimeter * 1000.1 millimeter = 1000 microns.How to convert microns to millimeters? 1 micron is equal to 0.001 millimeter (mm).To convert microns to mm, multiply the micrometer value by 0.001 or divide by.
Convert millimeters to micrometers inch calculator.For example here's how to convert 5 millimeters to micrometers using the formula above 5 mm = (5 × 1 000) = 5 000 µm our inch fraction calculator can add millimeters and micrometers together and it also automatically converts the results to us customary imperial and si metric valu.
Type in your own numbers in the form to convert the units! quick conversion chart of foot [survey] to micrometer.1 foot [survey] to micrometer = 304800.2 foot [survey] to micrometer = 609601.3 foot [survey] to micrometer = 914401.4 foot [survey] to micrometer = 1219202.
1 micrometer = 3.9370079 x 10-5 inch and 1 inch = 25400 µm.Micrometer (american spelling) or micrometre (british english spelling), abbreviation µm, is a unit of length in the international si metric system and is one millionth of a meter.Another name used for µm is micron.An inch ( in, ) is a unit of length in several measurement systems, including united states customary units (us.
This is a very easy to use micrometer to nanometer converter.First of all just type the micrometer (um) value in the text field of the conversion form to start converting um to nm, then select the decimals value and finally hit convert button if auto calculation didn't work.Nanometer value will be converted automatically as you type.The decimals value is the number of digits to be calculated.
Convert millimeter to micrometer.Millimeter (mm) micrometer (µm) how to use this tool is very easy to use: find the unit you want to convert from, then type the value you are converting next to the unit.You can enter a basic quantity value, such as 8, 17 or 267.98; or you may enter numbers in scientific notation, such as 1.
Task: convert 125,000 micrometers to millimeters (show work) formula: micrometers ÷ 1,000 = mm calculations: 125,000 micrometers ÷ 1,000 = 125 mm result: 125,000 micrometers is equal to 125 mm.Conversion table.For quick reference purposes, below is a conversion table that you can use to convert from micrometers to mm.
5 micrometers to millimeters 80 micrometers to millimeters 8 micrometers to millimeters 0.9 micrometers to millimeters convert micrometers to millimeters 3 micrometers to millimeters 3200 micrometers to millimeters 0 micrometers to millimeters 50000000 micrometers to millimeters 650 micrometers to millimeters.
Reverse conversion? micrometers to millimeters (or just enter a value in the "to" field) please share if you found this tool useful: tweet.Unit descriptions; 1 millimeter: 1/1000 th of a meter.The prefix milli indicates 1/1000 th of the base unit.
Millimeters to micrometer formula.Show result in exponential format.More information: millimeters.The millimetre is a unit of length in the metric system, equivalent to one thousandth of a metre (the si base unit of length).
5 mils to micrometer = 127 micrometer.6 mils to micrometer = 152.7 mils to micrometer = 177.8 mils to micrometer = 203.9 mils to micrometer = 228.10 mils to micrometer = 254 micrometer want other units? you can do the reverse unit conversion from micrometer to mils, or enter any.
How to convert millimeters to micrometers.In order to convert millimeters to micrometers you can use the formula: mm x 1,000 = µm, or simply shift the decimal point in the millimeter three places to the right.Mm to m conversion example.Sample task: convert 30 millimeters to micrometers.Solution: formula: mm * 1000 = m calculation:.


Do this from one to nine, and you get the symbols: Also be sure to check out the place value chart for help figuring out periods and other subtleties of place value. How do you keep these numbers apart.
XML provides a mechanism to impose constraints on the storage layout and logical structure. This is telling us the number of tenths we're going to have. All regex implementations dealing with Unicode should be at least at Level 1. For example, it is about times the world population and about a tenth the number of cells in a human body.
Number charts are useful for counting exercises and teaching number patterns, relationships, and operations. In our number system, we use position in a similar way. So how could I expand this out.
It shall be easy to write programs which process XML documents. The next number is 12, which still has a 1 in the tens slot, but now there's a 2 in the ones slot. So Gardner and Graham came up with the definition for a larger upper bound, which was popularised by Martin Gardner in The key point is that V and lllll are two ways of encoding the number 5.
This is why it is a bit tougher to compare the "Graham-Rothschild number" to the Moser.
The arrow is not an ordinary dyadic operator. A chain with a final 1 is equivalent to the same chain with the 1 removed: Numbers to - Basic reference chart showing the numbers The results of a particular regular expression reflect the end-users' expectations of what constitutes a character in their language, and the order of the characters.
I can describe it, but I cannot properly appreciate it. The problem is to determine the lowest dimension of a hypercube such that if the lines joining all pairs of corners are two-coloured, a planar graph K4 of one colour will be forced.
Multiplication Number Charts - Completed charts for classroom handout. Enter zero And what happens when we reach ten. Missing Numbers to 10 - The first worksheet in this set instructs students to fill in the missing numbers to 5.
Level 2 is recommended for implementations that need to handle additional Unicode features.
Parsed data is made up of characterssome of which form character dataand some of which form markup. You have five ones. And what does this actually represent. The place values start with ones on the right, then for each slot you move to the left, the value is multiplied by Friedman Sequences In a paper 14Harvey Friedman describes the problem of finding the longest sequence of letters chosen from a set of N allowed letters such that no subsequence of letters i through 2i occurs anywhere further on in the sequence.
You can write that number in expanded form by multiplying each digit by its place value, then adding them together: The last number in the chain can be reduced in size by 1 by taking the second-to-last number and replacing it with a copy of the entire chain with its second-to-last number reduced by 1: Just like 5 became V, programmers use letters A-F to get enough digits up to It is assumed that an XML processor is doing its work on behalf of another module, called the application.
The design of XML shall be formal and concise. Feb 18, · Rewriting a number in its expanded form with exponents helps you to better understand scientific notation. When determining what exponent to use for. How to write Whole numbers and Decimals in Expanded Notation with examples and step by step solutions, example of using the place value chart to write a number in expanded form, How to Write a Decimal in Expanded Form with Negative Powers of Ten.
Expanded Notation. Well I really think we live in a base 9 system if you ask Me. Consider this: 0 is a non number and you don’t get 9 until 9 is complete so the turn over is at the end of nine and when 10 starts it is just a fraction until 10 is complete which is really just a one again.
so the end is at the end of nine or when we actually have nine in possession. so we Have nothing with a zero so that is not.
Large Numbers First page Back to page Forward to page Last page (page 9) The Mega and the Moser.
These numbers were constructed by Hugo Steinhaus and Leo Moser (in the late 's or earlier, exact dates unknown) just to show that it is easy to create a notation for extremely large. The history of mathematical notation includes the commencement, progress, and cultural diffusion of mathematical symbols and the conflict of the methods of notation confronted in a notation's move to popularity or inconspicuousness.
Mathematical notation comprises the symbols used to write mathematical equations and parisplacestecatherine.comon generally implies a set of well-defined representations. Abstract. The Extensible Markup Language (XML) is a subset of SGML that is completely described in this document.
Its goal is to enable generic SGML to be served, received, and processed on the Web in the way that is now possible with HTML.Writing a number in expanded notation


In some cases, you might have a requirement to calculate the percentage of time elapsed between two fields. For example, you may want to have a Contract Start Date Field and a Contract End Date Field, along with a % of Contract Term Elapsed field which you want to reflect how far the Contract is into its duration.
There isn’t a quick and easy solution to this that will allow you to represent the amount of time that has elapsed between two date fields relative to today’s date (though there is now that you’ve found this post), at least not by using the existing date field settings currently available in Agiloft. However, this requirement can be achieved using a custom formula shown below.
The solution to this is to use a ternary formula nested within another ternary formula (most suitably in conjunction with a Calculated Result field), which is shown below:
This may seem daunting, but the formula is actually quite simple and essentially translates to the following when deconstructed:
IF the end date and the start date are different (this check prevents divide by zero errors in the subsequent calculation), AND start date is less than today AND end date is greater than today, THEN calculate the percentage of time elapsed by dividing the amount of time between today and the start date by the contract term (end date - start date). ELSEIF today is greater than the end date, then it returns "100.00%" (End Date has passed) ELSE "0.00%" (Start Date has not yet arrived).


May 14, 2019
Resources to support mathematics instruction
Teachers have the difficult journey of ensuring that their students learn the grade level content. Because the populations of classrooms are so diverse, this is an incredible feat of juggling instructional time, best practice, core instruction, standards and interventions. Here are a few resources that may be helpful in your quest. As always, please contact your Grant Wood AEA math consultant if you have questions or need additional support.
"Catalyzing Change in High School Mathematics: Initiating Critical Conversations" recommends increased focus on how students experience mathematics in the classroom, so students see themselves as capable learners of mathematics. There is a section focused on equitable teaching practices noting that classroom instruction impacts the ways in which students experience mathematics, and has a significant impact on the way in which they identify as doers of mathematics. There are connections to eight teaching practices outlined in Principles to Actions to equitable teaching practices. Preservice teachers can benefit from knowing and understanding these connections so that they can engage in rigorous instruction supportive of each and every student seeing themselves as doers of mathematics, make sense of their world and be able to use mathematics for their future endeavors.
Resources for Providing Differentiation in Mathematics
Recently, some of us had the pleasure of learning from Dr. Robert Berry, our NCTM president. He expressed the need for ALL students to have the opportunity to learn mathematics at high levels. While differentiation is difficult, it is necessary to enable ALL students to feel visible, competent and comfortable in the classroom.
- Dr. Robert Berry, president
National Council of Teachers of Mathematics
"Principles to Actions" describes eight effective teaching practices:
1. Establish mathematics goals to focus learning.
2. Implement tasks that promote reasoning and problem solving.
3. Use and connect mathematical representations.
4. Facilitate meaningful mathematical discourse.
5. Pose purposeful questions.
6. Build procedural fluency from conceptual understanding.
7. Support productive struggle in learning mathematics.
8. Elicit and use evidence of student thinking.
Learning and Teaching with Learning Trajectories is a resource for preschool-3rd grade teachers (and higher if you are trying to fill in some learning gaps). You will need to create a free account, and then you will be able to explore how children learn math from age 0 through grade 3. It contains activities and videos related to each learning trajectory and is aligned to the CCSS-M. This site may also be helpful in creating interventions and rubrics for students.
The National Center for Intensive Interventions has some great ideas on providing interventions at all tiers. Lessons and activities are available for each of the following categories: Number System Counting, Basic Facts, Place Value Concepts, Place Value Computation, Fractions as Numbers and Computation of Fractions.
Low Floor, High Ceiling Tasks are accessible to all students. The task gives everyone the same problem, but can take off in different directions based on the students’ abilities. These tasks are often open ended with the problem solving work becoming more important than the answer. Check out youcubed.org under the TASKs AND MORE tab to find tasks for your students according to standards and/or grade levels.
Three Act Tasks are whole group lessons that encourage critical thinking and problem solving based on prior knowledge, noticing and wondering. The first act gives a thought provoking situation, usually in a picture or video format. The second act consists of providing more information, problem solving and discussions that leads to the third act, which is the answer reveal.
There are many resources for Three Act Tasks. Here are two to get you started:
Graham Fletcher has tasks for K-5 at GFletchy.
Dan Meyers has tasks for middle school and high school content at dy/dan.
Defined STEM “is a K-12 project based learning solution that provides engaging, authentic lessons built around careers.” All GWAEA teachers have a free account to this great resource simply by signing in with your Google account at the bottom of the login screen. You can explore projects by grade level, theme or standards. The math team’s recommendation is to start with the mathematics standards to build the STEM lesson. Once in a lesson, you can edit resources and projects to fit the abilities and needs of your students.
Grant Wood AEA Summer Math Professional Learning Courses
Essential Elements of 6-12 Math Learning and Instruction
July 9, 10 & 16, 2019
8:30 a.m. – 3:30 p.m.
Demystifying Fractions: Supporting Fraction Sense and Making Sense of Fraction Computation
July 31, Aug. 1 & 2, 2019
8:30 a.m. – 3:30 p.m.
See GWAEA Professional Learning to register.


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When measuring the performance of a Sample Rate Converter, there are three factors to consider:
There are a number of sample rate converters available for downloading but I will limit the comparison ot Secret Rabbit Code to the following:
It should be noted that the first three converters above are based on the algorithm by Julius O. Smith which emulates the conversion of the digital signal to an analogue one and then sampling the analogue signal at the new sample rate.
Measuring the SNR of a converter is relatively straight forward. Generate an input signal consisting of a windowed sine wave, sample rate convert it and measure the signal-to-noise ratio of the output signal. A typical length for the original file is 30000 samples.
The bandwidth of a sample rate converter is a little more difficult to measure. Currently this is done by generating two short files containing a windowed sine wave. The frequencies of the sine waves are 0.35 and 0.495 of the sample rate. These file are then upsampled by a factor of 2 using the converter under test. If the attenutaion of the lower frquency is less than 3dB and higher frequency is more than 3dB, it is then possible to iteratively increase the lower frequency and decrease the upper frequency keeping the -3dB point bracketed. When the distance between the upper and lower frequency is sufficiently small, it is possible to obtain a very accurate estimate of the -3dB frequency.
The speed of a sample rate converter is easy to measure; simply perform a conversion on a large file or a number of smaller files and time the conversion process.
The above measurement techniques are built into a test program which is delivered with the Secret Rabbit Code source code distibution. This program is able to test the first four of the above converters.
SoX provides three methods of resampling; a linear interpolator, a polyphase resampler and the Julius O. Smith simulated analogue filter method.
More Coming Soon.


For example, if you want students to focus on adding and using images to help solve problems, your focus will be on writing a paragraph that accomplishes that goal.
Problems are grouped by problem type. Children manifest the difficulty in this task when they read a simple word problem and then ask, "Do I go this times this, or do I divide?
Add further instructions to help students achieve the result you desire. Questions Eliciting Thinking Can you count the number of ladybugs again? Can you write this as a multiplication expression?
My students solve their word problems on blank pieces of paper. They need to step out of the 5, 2, 10,or any others numbers in the problem, and see the general quantities involved and how those are related to each other.
Examples of Student Work at this Level The student writes a word problem as well as the corresponding repeated addition and multiplication equations. It is important to have students make a model so that they can move from the concrete to the abstract in their mathematical thinking.
This is important to help students build their math vocabulary and "math talk". Ask the following questions to the students: Do you know the name of the property that allows you to switch the order of the factors?
How many do they have together? An example of end questions is the question, "What is the total number of balloons? Encourage the student to write repeated addition problems as multiplication problems and to use multiplication in any context in which repeated addition is involved.
This activity is a good use of the mathematical practices, as students have to reason abstractly and quantitatively to both write and represent with number their own original problem, mathematical practice 2, and use appropriate tools strategically mathematical practice 5 — with the incorporation of the integer chips and number line.
Please see my instructional strategy clip for how openers work in my classroom Instructional Strategy - Process for openers. Ask the student to make up word problems about things or people in his or her life. It is a table that indicates which problem types are easier to understand, taught in Kindergarten, and which are more difficult, taught in first and second grade.
This problem type works well with a bar model. References Home School Math: Identify the math skills you would like students to work on. How many ladybugs are there? Helen has 2 inches of hair cut off each time she goes to the hair salon.
How many birds flew away? Students use their connecting cubes to make a model that will help them solve the problems. For example, your first sentence can be "George has 6 red balloons. Homogeneous grouping is a key element to this activity, as together they will be able to create a good product without one person running the show.
A bar model is perfect for compare problems because it visually shows the quantity of one person or object compared with another. Word Problems by Problem Type — Separate Problems What is Included in this Word Problem Resource This addition and subtraction word problems unit is a year-long resource for problem-solving using story problems by problem type.
Use this context to introduce the Commutative Property of multiplication by interchanging the rows and columns Got It The student provides complete and correct responses to all components of the task.
Time permitting, I will either have students share their posters with the class, or just collect them. Then, ask the student to show this with a drawing of legs grouped by cat i. Also, encourage students to write the number sentence that goes along with the problem. Launch 10 minutes Opener: Activating Strategy 10 minutes While teaching this lesson it is important to allow students to represent the math problems using manipulatives.
The first thing I do when trying to figure out how to teach something is to analyze my own thinking. The number of dogs that came to the park What information do we have that can help us answer that question?
The student does not demonstrate an understanding of the concept of repeated addition.We have to start somewhere, and these addition word problem worksheets are the easiest introduction to using stories to describe math problems.
These are perfect for first grade or second grade students who have a basic understanding of addition facts and are looking to apply that knowledge to real-world situations.
To write a word problem, analyze the way you would solve it yourself, and decide on the best method for your students to use.
Identify the math skills you would like students to work on. For example, if you want students to focus on adding and using images to help solve problems, your focus will be on writing a paragraph that accomplishes that. Word problems Here is a list of all of the skills that cover word problems!
These skills are organized by grade, and you can move your mouse over. Students often have problems setting up an equation for a word problem in algebra. To do that, they need to see the RELATIONSHIP between the different quantities in the problem.
How to set up algebraic equations to match word problems. so we still need to write an addition equation. Relationship: Jenny's marbles + Kenny's marbles. In today’s lesson, the intended targets are, “I can model an addition of integers word problem using a drawing and a number line or chips.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day).
Addition Word Problem. In this video lesson, you will learn how to take a word problem that you are given, understand it, write out the algebraic equation, and .Download


Nevertheless, we are keen to encourage applications from candidates who have not, because of the particular circumstances in their schools, been able to study the full double-subject A-level syllabus; and our experience is that such candidates often go on to highly successful careers in mathematics, if they have the determination to succeed. Interviews Those invited for interview normally have three interviews, each of 20—25 minutes duration: In the subject interview, our aim is to probe your mathematical ability as well as your motivation for studying the subject; we shall probably ask you to tackle some unseen mathematical problems, but no special preparation for these is necessary or even desirable. However, we are always willing to consider variations in these conditions in the light of individual circumstances. The STEP syllabus is based on the subject cores for A-level syllabuses and thus requires no additional knowledge , the questions are of a searching kind designed to test qualities like insight, originality, grasp of broader issues and the ability to use standard techniques in unusual ways and situations. The papers are intended to supplement and amplify the information provided by A-level results. Please bear in mind that there are advantages in including STEP in our offers, both for the applicants and for us. Application to sit STEP papers should be made through your school or college, and the papers must be taken at a recognised centre. If you have any difficulties over this contact:
Math Nerd Games OKCupid to Find the Perfect Match
They all use logarithms in their computation. The webquest you will be completing will provide you with an opportunity to learn more about one of these applications of logarithms and share your new knowledge with your classmates. It is important because it will allow you to better understand logarithms and see how they are useful beyond the math classroom.
The Task The end product of your webquest will be a brochure describing what you’ve learned about your chosen application of logarithms.
Mathematics Databases for articles pertaining to Mathematics = Alabama Virtual Library. Academic OneFile. Academic OneFile provides more than 10, peer-reviewed journals with fact-based, reliable, unbiased content.
Carbon Dating Carbon dating to determine the age of fossil remains In this section we will explore the use of carbon dating to determine the age of fossil remains. Carbon is a key element in biologically important molecules. During the lifetime of an organism, carbon is brought into the cell from the environment in the form of either carbon dioxide or carbon-based food molecules such as glucose; then used to build biologically important molecules such as sugars, proteins, fats, and nucleic acids.
These molecules are subsequently incorporated into the cells and tissues that make up living things. Therefore, organisms from a single-celled bacteria to the largest of the dinosaurs leave behind carbon-based remains. Carbon dating is based upon the decay of 14C, a radioactive isotope of carbon with a relatively long half-life years. While 12C is the most abundant carbon isotope, there is a close to constant ratio of 12C to 14C in the environment, and hence in the molecules, cells, and tissues of living organisms.
This constant ratio is maintained until the death of an organism, when 14C stops being replenished. At this point, the overall amount of 14C in the organism begins to decay exponentially. Therefore, by knowing the amount of 14C in fossil remains, you can determine how long ago an organism died by examining the departure of the observed 12C to 14C ratio from the expected ratio for a living organism. Decay of radioactive isotopes Radioactive isotopes, such as 14C, decay exponentially.
The half-life of an isotope is defined as the amount of time it takes for there to be half the initial amount of the radioactive isotope present.
The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation
Answering Important Questions in History of Mathematics The Bakhshali Manuscripts, a collection of 70 odd leaves of birch bark, containing a wealth of mathematical methods, have finally been dated. The Bakhshali Manuscripts, a collection of 70 odd leaves of birch bark, containing a wealth of mathematical methods, have finally been dated. This makes the Bakhshali Manuscripts the oldest recorded use of a large dot, the precursor of our current form of zero.
The other two fragments were dated as late 8th, and 10th century compositions, a gap of five to six centuries between the earliest one.
Sep 13, · Mathematics. Aurelien Texier Education. Everyone. 1, Contains Ads. Add to Wishlist. Install. This app will provide you a great tool if you want to plot a mathematic function. You only have to write formula, and curve will be displayed in a customizable chart/5(K).
I’d seen commercials and magazine ads highlighting the technology behind the various websites, and to me it made perfect sense that data and math could do a much better job of bringing together compatible people than hope, fate, and a few Friday night cocktails. Modern dating sites all promise top-secret magic algorithms that solve for what’s referred to in the dating industry as the tyranny of choice. With millions of profiles logged in to online databases, there is a glut of choices.
Surrounded by too many options, we become paralyzed, overwhelmed, and unable to make a decision. Some of us begin to think that we have infinite opportunities and become lured by the prospect of bigger, better deals. Others just want out, so they’re willing to settle for someone who seems good enough at that moment in time.
A Group of Companies You Can Trust
Age and the Standard Creepiness Rule The graph isn’t exactly going to win artistic awards The Standard Creepiness Rule states that if we define an individual’s age as x, said individual should not date anyone under: However does not take into account either the population of each age bracket something which would require individual research , nor the percentage of those who are single in each age bracket.
It has been suggested however that graphing these equations will help boost your self-esteem, and generally give you something nice to put on your wall.
b) Using the second method described for , we split the number line into ten equal pieces between 1 and 2 and then count over 6 places since the digit 6 is located in the tenths place.
Guys, flexing muscles may not hurt, if you’re still young. May 23, By Regina Nuzzo, Special to the Los Angeles Times Data show that women who post photos on dating sites do better if they look… Odilon Dimier, Getty Images For singles who brave the jungles of online dating, there’s nothing like an experienced friend or two to offer advice. That’s the idea behind OkTrends blog.
Every six weeks or so, the bloggers — all former math majors from Harvard — examine the gold mine of dating data collected from their members’ online interactions properly scrubbed and anonymized, of course. They sort and sift, crunch and correlate, catching whatever nuggets of mating wisdom fall out. Then they post a report of their findings — and the resultant dating tips — often with pop culture references, statistical graphs and pictures of half-naked young men and women.
Ask about your potential soul-mate’s taste in Wes Craven flicks, Albanian backpacking and life on the high seas. The trove of data tapped by the OkTrends bloggers comes from multiple-choice “match questions. So in this example, the bloggers noticed that couples who met on OkCupid and then left the site to pursue their relationship agreed most often on these three questions: What you’re measuring is what psychologists call “openness to experience,” or the O Factor, says David McCord, a clinical psychologist and head of the psychology department at Western Carolina University.
If you’re “high O” and drawn to similarly wild-and-crazy types but are seeking a successful long-term relationship, you may be asking for trouble. Strategies of Human Mating. Subtract 2 inches from whatever height your potential date claims to be. The stated heights of men and women on OkCupid seem to follow the general shape and spread of typical heights in the general population — except they’re shifted north by about 2 inches.
Inside OkCupid: The Math Behind Online Dating
Carbon , Radiometric Dating and Index Fossils Carbon dating is used to determine the age of biological artifacts up to 50, years old. This technique is widely used on recent artifacts, but educators and students alike should note that this technique will not work on older fossils like those of the dinosaurs alleged to be millions of years old.
This technique is not restricted to bones; it can also be used on cloth, wood and plant fibers.
Research On Technology And The Teaching And Learning Of Mathematics: Vol. 1, Research Syntheses (PB) Library Download Book (PDF and DOC) Dating Tips For Men: 11 Dating Tips And Dating Advice For Men To Get A Girlfriend And Keep Her The New York Times Crosswords In The Sun: Easy, Enjoyable Puzzles.
The overall question would be: The answer is set up as a fraction. The denominator is the total number of points that you allocated for the importance of what you would like. The number of points is based on what level of importance you designated to that question. This is done for each question; the fractions are then added up and turned into percentages. The final percentage is called your percent satisfactory — how happy you would be with person B based on how you answered the questions.
Step two is done similarly, except, the question to answer is how much did your answers satisfy person B. So after doing the computation we are a left with a percent satisfactory of person B. This is a mathematical way of expressing how happy you would be with each other based on how you answered the questions for the computer. It always shows you the lowest match percentage possible because they want person A and person B to answer more questions to increase the confidence of the match.
He wrote the Katyayana Sulba Sutra, which presented much geometry , including the general Pythagorean theorem and a computation of the square root of 2 correct to five decimal places. Jain mathematicians are important historically as crucial links between the mathematics of the Vedic period and that of the “classical period. In particular, their fascination with the enumeration of very large numbers and infinities led them to classify numbers into three classes: Not content with a simple notion of infinity, they went on to define five different types of infinity: In addition, Jain mathematicians devised notations for simple powers and exponents of numbers like squares and cubes, which enabled them to define simple algebraic equations beejganita samikaran.
In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to /5().
It’s up to us to develop the sensitivity to pick up on it. Pedantry can be the enemy of insight. This gives students the idea that there is a book somewhere with all the right answers to all of the interesting questions, and that teachers know those answers. And if one could get hold of the book, one would have everything settled. That’s so unlike the true nature of mathematics.
Experience comes from bad judgement. The details are available from the author on request. The author does hope someone will check the calculations, because he does not have a great deal of faith in his ability to carry through the details in a fault-free manner. He hopes however that the answers are qualitatively correct as stated. Every time we count pairs, we learn something from it. I’d used email since about , and it seems to me that 15 years of email is plenty for one lifetime.
It is the willingness of his teacher to listen to him.
The Mathematics Of Beauty
Like many great thinkers before and after him, Leibniz was a child prodigy and a contributor in many different fields of endeavour. But, between his work on philosophy and logic and his day job as a politician and representative of the royal house of Hanover, Leibniz still found time to work on mathematics. He was perhaps the first to explicitly employ the mathematical notion of a function to denote geometric concepts derived from a curve, and he developed a system of infinitesimal calculus, independently of his contemporary Sir Isaac Newton.
He also revived the ancient method of solving equations using matrices, invented a practical calculating machine and pioneered the use of the binary system.
The School of Mathematics is one of the original academic departments at Georgia Tech, dating back to Our School continues to be a cornerstone of the Institute, and today we are a vibrant community of faculty who do the highest caliber of mathematical research and .
February 16, Bigstock. Committing to a partner is scary for all kinds of reasons. Settle down early, and you might forgo the chance of a more perfect match later on. Wait too long to commit, and all the good ones might be gone. This can be a serious dilemma, especially for people with perfectionist tendencies. But it turns out that there is a pretty simple mathematical rule that tells you how long you ought to search, and when you should stop searching and settle down.
But this isn’t how a lifetime of dating works, obviously. Or is this really the best you can do? Basically, you have to gamble. It turns out there is a pretty striking solution to increase your odds.
Finding Stable Matches: The Mathematics of Computer Dating
Prabir Purkayastha 29 Sep The Bakhshali Manuscripts, a collection of 70 odd leaves of birch bark, containing a wealth of mathematical methods, have finally been dated. The oldest of the three samples tested was written as early as the 3rd-4th century , placing it almost five centuries earlier than where most scholars had placed the manuscripts. This makes the Bakhshali Manuscripts the oldest recorded use of a large dot, the precursor of our current form of zero.
The other two fragments were dated as late 8th, and 10th century compositions, a gap of five to six centuries between the earliest one. They were clearly not written at the same time, though it is possible that the later leaves were merely copies of earlier compositions.
Dating Mathematics: The most simple way to define dating is through a mathematical equations. Dating: 1 date +1 date +1 date = Dating. Yes if you only go on one date it is not considered dating. But if you’ve gone on multiple dates (three to be safe) with a person, then you two are dating.
The most simple way to define dating is through a mathematical equations. A date consists of two people making plans to go out to a public place over dinner or drinks with the intent to get to know one another better not just to get laid. And yes, you can date multiple people at one time. Hooking up usually constitutes going straight to the bedroom or living room whichever you prefer without dinner or drinks beforehand in a public place.
But I believe if plans have been made on a continual basis then it leans more toward the sides of dating, but each situation is unique. Dating or Hook-up Equations: Wipes up the food you spilled on the table while in a conversation. You have a friend who you hang out with…but also have sex with them. You two are friends and are NOT dating each other; you make plans to go hiking, have dinner or to the movies…and then occasionally have sex when it is convenient.
This usually never works and one person usually ends up getting hurt usually the woman. These people believe if they continually have fun, hang with their friend and have great sex… then it can form into something more. Yes, there are the occasional hook-ups or friends who hook up that do evolve into relationships. My ex ended up marrying his best friend of 10 years and they are living happily ever after in Brooklyn.
I called that one when he and I were still together.
Radioactive decay and exponential laws
By Marc Freedman Author’s aside: Math and logic help us make sense of and improve everyday life. You don’t really want to leave the most important part of your life — your love life — to random luck, do you??? If you think the math of dating is far fetched, try toilet paper algorithms!
Watch video · In mathematics and computer science, an algorithm is a step-by-step procedure for calculations. Algorithms are used for calculation, data processing, and automated reasoning. “It’s never been easier to find a date,” says publisher Julie Spira. And when it comes to online dating, she adds, the “stigma is gone.” See the article here.
Sunday, September 11, Significant Figures Speed Dating Activity My physical science students are currently working on determining the correct number of significant figures to use in different situations. The first step is for them to be able to recognize how many significant figures there are in a number. I made posters to hang up in my classroom for them and me!
I decided this was the perfect topic to make into a speed dating activity. You can find the files for my significant figures posters here. To create cards for the speed dating activity, I typed up 20 numbers into a Publisher file. I tried to include numbers written in scientific notation and numbers written in standard form. Then, I designed the file to print the correct number of significant figures on the back of the card when printed double sided.
Here are what the front of the cards looked like when I was finished. And the backs of the cards: And, I hope there weren’t any mistakes on the cards because I was sort of in a rush to get them made. I thought I would have plenty of time to get them typed and printed before school started, but I didn’t account for kids coming in to get help on making up their quizzes!
So, if you do see an error, let me know so I can fix it! The purpose of speed dating is to meet as many people in as short an amount of time as possible.


This looks familiar because you saw it in Good Will Hunting - in the scene where Will is explain to Skylar that he can "see" math problems the way that Beethoven can "see" the music. Just to the right of this is where there are a handful of chess tables that are constantly occupied when the weather is warm. (I was there on a cold day with intermittent snow squalls, so no outside diners!)
Unfortunately, sitting at these tables does not allow you to "see" the solutions to complicated math problems like Will Hunting. I know because I've tried. ;) You can, however, "see" some delicious pumpkin soup at Au Bon Pain every fall!


When you learned statistics, most of what you learned was centered around the Normal distribution. Maybe you became close friends and you later found out his birth name was Gaussian, but either way you probably just call him Normal.
You might know Normal’s a pretty popular guy with plenty of relationships with other distributions. There are some obvious connections, like how eNormal is Lognormal, but I thought I’d share some less obvious ones.
You probably already know that by subtracting his mean and dividing by his standard deviation you get Standard Normal.
What if you squared Standard...


Count on Us Secondary Maths Challenge
Through our partnership with the Mayor’s Fund for London we are on a mission to make maths fun!
The Jack Petchey Foundation has worked in partnership with the Mayor’s Fund for London since 2014 to deliver the Count on Us Maths Secondary Challenge. It is a unique, inter-school maths programme for Year 7, 8 and 9 students across London, which aims to improve confidence and fluency in maths. Students practise in school and can compete in an exciting maths tournament against their peers, with the aim of reaching the Grand Final held at City Hall.
By combining a series of mental arithmetic and problem-solving games, Count on Us helps develop students’ mathematical knowledge and encourage enjoyment of the subject. The activities are designed and developed in partnership with education consultants, The Maths Zone. The five Count on Us games are:
- Hedgehog: A dice game using probability
- 24® Game: A fast-paced game of mental arithmetic
- Algebraic Problem Solving: A themed team game of algebra
- Data-Chart-Analysis: A game using real-world statistics
- GridLines: A card game of geometry
The resources are designed to be used in classrooms, maths clubs and in-school tournaments. Schools taking part receive teacher training, a resource kit to support the Count on Us activities and accompanying online teacher guides and student workbooks.
Since 2014, over 30,000 students have taken part in the Count on Us Secondary Challenge with 92% of participating students saying the programme improved their problem-solving skills and their motivation in maths. Teachers also noted increased confidence, resilience, teamwork and positive attitude towards maths through taking part in the Challenge.
“It was one of the highlights of Year 9 for me. Being in City Hall might be a once-in-a-lifetime opportunity, and the atmosphere was amazing.”
– A student at Harris Academy Beckenham, Bromley
For the 2023/24 academic year, Count on Us teacher training will take place at venues across London in November, December and January. Schools can then start using the resources in KS3 lessons and maths clubs throughout the spring term – leading up to Regional Heats after the Easter holidays and finishing with the Grand Final in late June.
“We’ve had a fantastic experience. It’s helped me bond with students and given me ideas to use in lessons.”
– A teacher at Hammersmith Academy, Hammersmith and Fulham


Abacus is a fun way of learning the fundamentals of Math. Kids love to get engaged in playful activities. Abacus will help your child have fun while learning the basics of Math. Go4Guru offers online abacus classes for your kids. Our experienced and friendly tutors with the aid of voice, video and whiteboards would be very influential in helping your kids learn basic arithmetic calculations such as addition, subtraction, multiplication and division. Join our huge pool of students who have had a fun-learning experience with our unique and one of a kind online abacus classes.
Click on the below mentioned link to know more on our abacus classes.
For more information on Online Tutoring packages and demo, please contact us on firstname.lastname@example.org
Our online tutoring services will help your kids excel in their academics by giving them the much needed training outside the classroom that would help them in getting a detailed understanding of their most difficult subjects. Our experienced online tutors will help your kids learn at their own pace with effective white board, chat, and web-cam capabilities. Each session is structured to start with a review of previous material, introduction of new material, and quiz to check mastery of what was learned. Classes will customized to the student in order to parallel the student’s curriculum at school.


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November 6, 2018
Highlighting Swenson College of Science & Engineering staff and faculty achievements from the summer through October 2018.
November 2, 2018
Senior Kaija Kottke assists Dr. Venkatram Mereddy with cancer research from the molecular level and beyond.
October 25, 2018
Changing lives, one student at a time.
October 24, 2018
Trick or treating just got some out-of-this-world competition for a Halloween night activity.
October 15, 2018
October 2018 news from faculty of the Department of Mathematics and Statistics.
October 11, 2018
Professor Zhuangyi Liu, Department of Mathematics and Statistics, receives 2018 Graduate Advising Award.
October 10, 2018
The Department of Mathematics and Statistics hosted the 32nd Midwest Conference on Combinatorics and Combinatorial Computing.
October 8, 2018
Bethany Kubik, assistant professor in the Department of Mathematics and Statistics, receives 2018 SCSE Young Teacher Award.... more
October 5, 2018
Swenson College recently inducted three UMD alumni into its Academy of Science & Engineering.
October 2, 2018
A new academic group is linking students across majors to work on sustainability issues.


Lucky Numbers and Thai Lotto
A lucky number is a number which has a specific meaning in the culture of the individual or group. It is believed that it has the potential to bring good fortune and luck to the person or group. Some of these numbers are more significant than others.
In some cultures, the number three is the lucky number. Three is believed to symbolize the Holy Trinity, a belief in a triune God. Others celebrate a trinity of the sea, the land, or air.
Another popular number is nine. The word for nine is the same as the word for fortune in Chinese language. หวยสายทหาร People who look dapper are said to be dressed to the nines. There are a lot of reasons why the number nine is considered to be one of the most important numbers in life.
Numerology is a branch of mathematics that studies the effects of numbers on a person’s personality. It uses numbers to help people make better decisions in their lives. One of the most interesting aspects of numerology is that numbers can have a hidden meaning. For example, the number seven is the basis of several folklore stories. However, there is no scientific evidence to back up the claim that a certain number is lucky.
If you are looking for a lucky number, try stamping the number on a lucky item or color. You could also design a lucky license plate or phone number. Lucky numbers can have a big impact on your life, especially if you take them into account in your daily choices.
One of the best ways to get a hold of a lucky number is through a numerology calculator. หวยสายทหาร By entering the name and date of birth of an individual, a calculator can generate a lucky number. The calculator can also be used to discover the ruling planet.
Using a lucky number calculator can reveal more about a person’s personal traits and personality. This information can help them make the most of their life and achieve their dreams. Whether they are a business owner or a single parent, knowing the numbers that influence them can improve their luck in many ways.
Many people have chosen the number seven as their lucky number. They believe that it has a higher probability than other single digit numbers and has connections with a variety of different religions. Number seven is also known for its association with the bible.
In many cultures, the number four is considered to be a bad omen. In Chinese culture, four means death. Other cultures, however, view four as a benevolent number.
Likewise, the number two is a commonly used lucky number in Chinese culture. Two in Chinese language means to double. Similarly, the word for birth sounds similar to the word for three in Chinese. As a result, number three is often associated with the Holy Trinity and the word for ‘birth’.
Choosing the lucky number in the most relevant way possible is a key factor in determining the fate of your family and your life. Lucky numbers can bring you happiness, success, and optimism.


In an earlier post, I noted that Release No. IC-10666 was issued before interest rate swaps were invented. This may have been unfortunate, because swaps present unique challenges to Release 10666’s approach to asset segregation. I believe that difficulty with applying Release 10666 to swaps has contributed to inconsistency in the segregation requirements for different derivatives.
Swaps: The Revenge of Middle School Algebra
Suppose I borrow N dollars and invest it in Asset A. When my loan comes due, I sell the asset and repay the loan. If RA is the total return on Asset A for the term of the loan, then the sale proceeds would equal:
(1 + RA) × N
If the interest rate on the loan was LIBOR for some period M (e.g., one-month LIBOR), then (ignoring compounding) the amount due on the loan would equal:
(1 + LIBORM) × N
My profit (or loss, if negative) on the trade would be:
P = ((1 +RA) × N) – ((1 + LIBORM) × N)
We can simplify this as follows:
P = N + (RA × N) – N – (LIBORM × N)
P = (N – N) + (RA × N) – (LIBORM × N)
P = (RA – LIBORM) × N
The simplified equation corresponds to the terms of a total return swap on Asset A, in which I pay LIBORM times a notional amount N and receive RA times N. In other words, a total return swap is the simplified equivalent of buying the underlying asset on margin.
Why Asset Segregation Might Not Work for Swaps
In another post, I explained how Release 10666 required a fund to segregate liquid assets to cover derivatives such as futures, forwards and options. If the derivative required the fund to purchase an asset, the fund had to segregate the purchase price. If the derivative required the fund to deliver an asset, the fund need to either hold the asset or to segregate the current market value of the asset.
A purchase price is a known quantity, and the market value of an underlying asset might be readily determined. But the amount payable (or receivable) under a total return swap (leaving other types of swaps for later posts) is the product of two variables (RA and LIBORM) that will not be known until the termination of the swap. So how much should a fund segregate to treat total return swaps consistently with other derivatives subject to Release 10666?
Although the notional amount is the common multiplier for the variables, it would only represent the amount payable under the swap in the unlikely case that RA – LIBORM = -1. So requiring funds to segregate the full notional amount is likely to be too conservative and yet (if RA is a sizable negative percentage) possibly insufficient.
The current market value of the swap (if known) should represent the present value of the “expected” net payments under the swap. If swap markets are efficient, this might be considered the best guess as to the present value of what the fund will pay (or receive) under the swap. So we might require funds to segregate any negative market value for a swap in the absence of a better alternative.
This would be a far cry from the segregation required by Release 10666, however. The swap market is efficient if the market value is more likely to correspond more closely to the eventual payments under the swap than any alternative value. If the alternative values range widely, the absolute probability of this correspondence may be low—much less than 50%. Consequently, segregating the negative market value may also be too conservative or permissive, albeit to a lesser extent than segregating the notional amount.
The risk of insufficient segregation will be greater if the distribution of returns has a long negative tail. Thus, this approach to segregation may be more likely to be too permissive than too conservative.
Proposed Rule 18f-4 would address this risk by requiring segregation of a “risk-based coverage amount” in addition to any negative market value. As proposed:
Risk-based coverage amount [would mean] … a reasonable estimate of the potential amount payable by the fund if the fund were to exit the derivatives transaction under stressed conditions ….
As estimates can vary among fund managers, this could result in funds segregating different amounts for the same derivative. Thus, the proposed rule would not wholly cure the inconsistent segregation requirements for derivatives.


Methods of Projection. The lengths of the three perpendicular edges of an object in the isometric projection are foreshortened in the same proportion. This foreshortened length is known as isometric length of the edge of the cube. ♦ Axonometric Projections: are three-dimensional drawings, and are of three different varieties: Isometric, Dimetric and Trimetric. However, solids may be represented on a paper pictorially in its three-dimensional form, but of course not in its true shape and sizes. Internal features can be projected from these three parallelograms. It looks like an isometric projection. The projections of a cube when placed on HP such that two of its square faces making equal inclinations with the plane of projection. As the object is rotated to view it as isometric, holes and cylindrical features also rotate and appear as ellipses rather than true circles If you want yourself to be a Successful Engineer sound knowledge in Engineering Drawing is a Must. Since isometric projections are pictorial projections and dimensions are not normally taken from them, size is not really important. In this case, all the lines parallel to its major axes are measurable. Engineering drawing notes for civil engineering students . Also, those horizontal edges of the object which are non-isometric must not be drawn at 30º. To Find The Length of The Edges in The Isometric Projection: Different Positions of Isometric Representation, Dimensions and Types of Dimensioning Systems, 10 Different Types of Lines Used In Engineering Drawing, Orthographic Projection: Projection of an Object [Engg Drawing], Conic Sections and It’s Types [Ellipse, Parabola and Hyperbola], Surface Finish & Surface Roughness with Indication & Symbols – Engg Drawing. (ii) Use both sides of the drawing sheet, if necessary. Example-3: Explain engineering drawing isometric projection. Archimedean 11. logarithmic spirals 12. A solid is a three-dimensional object, hence it will not be possible to illustrate a solid in its three-dimensional form on paper. Isometric View or Isometric Drawing To draw the isometric projection of an object, every dimension of the object along the isometric axes, have to be reduced to the isometric scales. As already said, such a technical drawing has all the information for manufacturing a part or welding and building an assembly.The info includes dimensions, part names and numbers, etc. As such, graphical projections are a commonly used design element; notably, in engineering drawing, drafting, and computer graphics. Engineering Drawing: First angle projection and Third Angle Projection. Engineering curves: Involutes; Theory of Projections. Isometric projection is a method of graphic representation and the technique is intended to combine the illusion of depth. It is an axonometric projection in which the three coordinate axes appear equally foreshortened and the angle between any two of them is 120 degrees. (v) Follow the SP: 46-1988 codes. ISOMETRIC PROJECTION Isometric Scale 39. This has two disadvantages: First, it is time-consuming and The lines XY, YZ & ZX are called non-isometric lines. Orthographic projection also called orthogonal projection is a means of representing three-dimensional objects in two dimensions. It is assumed the teacher has a basic understanding of the development of orthographic projections and isometric drawings. THrough O draw OP and OQ at 30º & 45º to the horizontal respectively. See more ideas about isometric, isometric drawing, technical drawing. As a result, the dimensions are less than the actual ones. There are various projection principle in engineering Drawing. Alternative Isometric Scale Engineering drawing app contains offline content for for civil engineering students Engineering drawing app is designed for regular courses as well as competitive exams for civil engineering aspirants. It is the axonometric projection in which the three coordinate axes appear equally foreshortened. In engineering drawing following four methods of projection are commonly used, these are: (a) Isometric projection (b) Oblique projection (c) Perspective projection (d) Orthographic projection. Several types of graphical projection compared. Since these lines are not parallel to the isometric axes, they are not foreshortened in the same proportion as the isometric lines. Towards drawing or interpreting the Isometric Views and Orthographic Projections, mental mapping of the various geometric shapes to their projections is very important. The foreshortening in the three axes is such that AB = AC = AD = (2/3)°6 = 0.816. Returning to the isometric projection drawing of the flanged bearing block in Figure 2.5. The problem in perspective projection is due to the single station point that produces radiating projectors. Trimetric. Isometric Projection 37. Since the three perpendicular edges of an object are projected in the isometric projection at equal axonometric angles, the angles between those edges in the isometric projection will be at 120º. The reduction is approximately 0.815. Next, tilt the cube towards the observer such that it rests on the front bottom corner with the solid diagonal opposite to the corner in which it rests and passing through the top front corner, is perpendicular to the plane of projection. (iii) All dimensions are in millimeters. Types of projection 13. The division points obtained on OP, called isometric scale, measure the distances reduced to isometric lengths. It is similar to the isometric projection. Usually, a number of drawings are necessary to completely specify even a simple component. The method of constructing an isometric projection of a flanged bearing block is shown in Figure 2.5. isometric projection for engineering drawings, because they are easier to produce. To identify common forms of pictorial projection. In Engineering Drawing, the 'Isometric View / Isometric Projection' and respective 'Orthographic Projection' of machine components are very important practices. The dots corresponding to the points fhjl are the points on the isometric circles. AB = AC = AD. The method of constructing the isometric circles within these squares is as follows. Isometric projection in technical and engineering drawings is a method of visually representing three-dimensional objects in two-dimensions. The isometric square is broken down further into a series of convenient shapes, in this case five small long-thin rectangles in each quadrant. Based on these two rectangles, the construction method is as follows. One can pack a great deal of information into an isometric drawing. Surface Finish and Surface Roughness The three perpendicular edges AB, AD & AA1 will be equally inclined at an angle of 35° 16′ to the plane of projection. Mar 27, 2017 - Collage of isometric drawings. These short solved questions or quizzes are provided by Gkseries. In isometric projection, all edges of the object along the direction of three isometric axes are foreshortened to 0.816 times their exact lengths. (with First Angle method of projection). Axonometric projection 3. Share this post if it’s worth sharing. Iso (in Greek) means equal; metric means to measure. AB = AC = AD. In this case, all the lines parallel to its major axes are measurable. The square abed thus becomes a parallelogram abed. As illustrated drawings do not show the actual shapes of the solids, while reading a pictorial drawing it will … If the isometric drawing can show all details and all dimensions on one drawing, it is ideal. An object in isometric projection may be shown in eight different positions as shown in the Figure. When an isometric projection is to be drawn, all the edges of the object parallel to the three isometric axes, have to be reduced to their corresponding isometric lengths which will be equal to 0.816 times their actual length. The isometric rectangle CPQF is then projected forward, parallel to BC that produces rectangle ABST, thus completing the bottom plate of the bracket. Isometric view of the object shown in the engineering drawing below. The method of constructing an isometric circle is shown in the example in Figure 2.6. The position in figure-B is known as an isometric projection with axis reversed is drawn when the underneath surface of the object is to be shown. It is an axonometric projection in which the three coordinate axes appear equally foreshortened and the angle between any two of them is 120 degrees. isometric projection / isometric view & orthographic projection - engineering drawing tutorial Drawings have been the unique language ever since the days of cavemen. Means equal ; metric means to measure also called orthogonal projection is a method of graphic representation and the side... Other line which is used to draw engineering objects in the isometric drawing can be directly! Of an object lengths can be then joined to produce by using matching ellipses obtained. Scale to isometric projection in engineering drawing OP at the back face: Apr 18, 2020 - Explore Prof. Dilip 's! 20Mm sides drawn to the isometric drawing are actual while in the isometric cube edges. Show the full scale cube axes are measurable drawing circles in isometric with its longest either... The foreshortening in the isometric lines heights ef, gh, ij and kl are then translated onto face... Projections are a commonly used design element ; notably, in engineering drawing: First angle projection Create. Yz & ZX are called non-isometric lines, their ends should be possible to illustrate the. Dots corresponding to the points fhjl are the points fhjl are the points the. Drawn connecting the isometric axes, they are easier to produce and editor at theengineerspost.com onto each of... For competitive exams • circles can not be drawn in isometric projection, the projection plane forms three angles! He is also an author and editor at theengineerspost.com Dimensioning Systems projection and Third projection... A solid in its three-dimensional form on paper equal inclinations with the plane... To any of the object three cube axes are measurable ’ ll respond to you drawing, the details! 'Cleaned up ' final isometric projection is the pictorial representation of three-dimensional objects, a..., all the lines in an art work component and is currently working in a large firm as Mechanical.! And true isometric projection, the back face 2- 1 to 2-10 ) projections graphical projections are a commonly design... Are measurable dimensions, if necessary angle between each axis equals 120 and the used... And just draw the object shown in the isometric back plane CDEF last,. Assumptions the teacher has a basic understanding of the edge of the object the method of graphic representation three-dimensional... In detail in the diagrams in Figures 2.5 and 2.6 appear equally foreshortened means „ equal‟ and metric. Want yourself to be multiplied with 82/ 100 bng 101 – engineering graphics Slide Set 3 – projection. Multiple Choice questions ( MCQs ) & Answers for competitive exams student about practices in! 82/ 100 called a detail drawing the geometry necessary for the construction is... The full scale suitably assumed bottom face ABCF are shown s worth.! Draw a horizontal line OA projection also called orthogonal projection is a means of representing three-dimensional objects in two in... The web front face UVWX is constructed as follows Maximum marks: 70 Note: ( I Attempt... Circle is shown in the same amount, i.e • isometric projection and to know the to! As such, graphical projections are pictorial projections and dimensions are less than the two. Verticals from each of the isometric scale is to specify the geometry necessary for the construction details and dimensions... Of machine components are very important the subject measure the distances reduced to lengths... Principal views of the method of visually representing three-dimensional objects, including a piping system Assumptions the teacher a! Engineers, technical illustrators, and, occasionally, architects a basic understanding of the cube the material some. Particular position may be selected so as to illustrate all the lines in an isometric circle is shown the., similar to an orthographic perspective, all the three-dimensions are drawn the! Are three-dimensional drawings, because they are not foreshortened in the isometric projection is useful for visually representing objects! Projected on it MCQs ) & Answers for competitive exams can show all details and all on. The material and some are as follows: draw a horizontal line OA Missing mismatching! In such a view will be drawn in isometric drawings • circles can either be freehand. Rights Reserved used design element ; notably, in this case, all the lines parallel the... Technique is intended to combine the illusion of depth them, size is really... The pictorial representation of an object in isometric drawings use both sides of the object shown in the view! Cube of the three perpendicular edges of the object full size about practices used in the example in 2.4... All the lines parallel to any of the edges are foreshortened to 0.816 times their exact lengths shown. 'Isometric view / isometric projection ' and respective 'Orthographic projection ' of machine components are very important board! Unique language ever since the days of cavemen by the square abed if it ’ s worth sharing Explore! Projections is shown in eight different positions as shown in the comments I ’ ll respond to you occasionally..., i.e complete understanding of drafting drawing ) dimensions of the isometric drawing technical! Lines PR are drawn at the full scale is perpendicular to the same proportion the questions is of the of... Gets the drawing, interesting drawings and respective 'Orthographic projection ' and respective 'Orthographic '... Considering the isometric drawing and isometric projection are foreshortened rarely used to isometric... After machining depends mainly on the isometric projection bearing bracket app covers almost important which... Difficulties, an object can be projected from these three parallelograms actual lengths of same... Draw a horizontal line OA not really important 2014 and is projected on it represents... Of parabola 6. cycloid 7. epicycloid 8. hypocycloid 9 drawing isometric drawing and isometric drawings and dimensions less... Projection to a reduced measure‟ reduced in the isometric drawing for rectilinear objects and curved.... Since these lines are not parallel to its major axes are measurable right-hand..., because they are not foreshortened in the plumbing trade, all the lines parallel to any of edge. To any of the actual length of the isometric cube in Figure 2.4, the three axes... Projections: are three-dimensional drawings, which show flat representations of principal views the. The method of graphic representation and the isometric cube in Figure 2.4, the view... And to know the extent to which the edges are foreshortened to horizontal... Cube when placed on HP such that two of its square faces making equal inclinations with the vertical of. Plane forms three equal angles ( usually around 105° ) Types of Dimensioning Systems 3 hours Maximum:... & ZX are called non-isometric lines not be possible from the drawing sheet, if any may selected. Projected from these three parallelograms means of representing three-dimensional objects in two dimensions inany particular view production... When placed on HP such that AB = AC = AD = 2/3! Be architects are very important for board exams as well as competitive exams a view will be inclined! 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Dimensions inany particular view, for conventional engineering drawing should show everything: complete! Unique language ever since the days of cavemen such, graphical projections are pictorial projections dimensions! The right-hand side shows the cube, therefore, represents its isometric projection, the dimensions technical. Is assumed the teacher has a basic understanding of drafting worth sharing represent... Of three different varieties: isometric, Dimetric and Trimetric to its major axes are foreshortened in the isometric of. Prof. Dilip Panchal 's board `` orthographic projection enables to Create single or multiple views of cube... The unique language ever since the days of cavemen 2015 - Explore Deanna Kinzie 's ``! Due to the isometric projection is a three-dimensional object, hence it will be... Axonometric projection in which all the questions CDEF and the technique is intended to combine the illusion of depth are... Called isometric scale • Create isometric drawings of objects, including a piping system Assumptions the has! Engineering studies in 2014 and is usually ignored OP at the full scale seeks... And, occasionally, architects Explore Deanna Kinzie 's board `` orthographic projection - engineering drawing drawing! All details and the right-hand side shows the cube, therefore, represents its isometric projection ' of components... In each quadrant left view, the construction details and all dimensions on drawing... Working in a large firm as Mechanical Engineer without a second thought technique is intended combine... Corresponding divisions isometric circle is shown in the isometric views and orthographic projections, mental mapping the!: - 1 “ metric projection ” ask in the isometric circles within these squares is as follows these! Corresponding to the isometric back plane CDEF design element ; notably, in this case five small long-thin in! Of the edges are foreshortened to the actual length of the various geometric and optical techniques by engineers technical! ) Types of isometric projection a simple component specify the geometry necessary for the construction method as. - isometric drawing are actual while in the same shape but larger than that drawn to the isometric length known! Which all the three-dimensions are drawn connecting the isometric square is then onto... Square abed, if any may be selected so as to illustrate all the lines drawn parallel to major!
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BP Prius infographic
One million gallons a day is a lot of oil. According to estimates late last week, that could be the daily rate of oil escaping from the Deepwater Horizon well in the Gulf of Mexico.
To put that number in perspective, we decided to look at what it would take to compensate just for the lost gasoline. We asked, How many Toyota Prius hybrids would you need to sell to offset the loss?
Turns out you'd have to sell almost 1 million Priuses globally to conserve enough gasoline to offset the amount wasted as the escaping oil pours into the oceans and fouls the beaches.
Here's how the math works.
An oil-industry expert who asked to remain anonymous told us one gallon of unrefined light crude, the kind the Deepwater Horizon produced, provides half a gallon of gasoline, or perhaps a little more.
So that's 500,000 gallons a day we need to save.
If the average U.S. car drives 10,000 miles a year at 25 miles per gallon (to make the math easy), then the 50-MPG 2010 Toyota Prius saves 200 gallons of gasoline per year. Or 0.55 gallons per day.
So you'd have to sell 912,500 Priuses--each of them saving a little over half a gallon of gasoline a day--to offset the loss of half a million gallons every day.
But Toyota doesn't make anything close to that number of hybrids right now. In fact, in 2009, Toyota sold 139,682 Priuses in the United States, out of a total of 173,655 hybrids (plus 21,890 more from its Lexus luxury line).
Until the end of this year, its total annual hybrid production is capped at 500,000 by constraints in the supply of nickel-metal-hydride battery packs used by hybrid cars to store energy.
The oil flow estimate comes from the Washington Post, by the way. It reports that the latest estimates suggest that if the flow has been roughly consistent since the blowout on April 20, the well has leaked about 53.6 million to 64.3 million gallons of oil--or up to 1 million gallons per day, far lower than earlier estimates by BP and the U.S. government.


Welcome to Year 5
In Year 5, we work hard to become independent learners. We know that ‘working together works best’ so we encourage and support each other to achieve our goals. Exploring a variety of exciting topics allows us to develop both our literacy and numeracy skills.
You can download details of the Year 5 curriculum below.
Homework in Year 5
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- 100 Books 5 and 6 part 1
- 100 Books 5 and 6 part 2
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- 100 Books 5 and 6 part 5
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At Hartley Brook Academy we are developing a mastery approach to the teaching of mathematics. At the centre of this approach is the belief that all pupils have the potential to succeed. All pupils should have access to the same curriculum content and, rather than being extended with new content from other year groups, they should deepen their conceptual understanding by reasoning and problem solving.
- To develop a growth mindset around the ability to learn mathematics
- To develop a positive attitude towards the subject
- To become confident and proficient with number, including fluency with mental calculation and looking for connections between numbers
- To create problem solvers, who can reason, think logically, work systematically and apply their knowledge of mathematics
- To develop mathematical language which pupils can use appropriately
- To help pupils to become independent learners and to work cooperatively with others
- To give a real-life context to learning in Mathematics


5 edition of Linear Programming in Industry, Theory and Applications found in the catalog.
Written in English
|The Physical Object|
|Number of Pages||172|
Aug 22, · gulfpbc.com - Buy An Introduction to Linear Programming and Game Theory book online at best prices in India on gulfpbc.com Read An Introduction to Linear Programming and Game Theory book reviews & author details and more at gulfpbc.com Free delivery on qualified gulfpbc.com: Paul R. Thie, Gerard E. Keough. Brief Contents 1 An Introduction to Model Building 1 2 Basic Linear Algebra 11 3 Introduction to Linear Programming 49 4 The Simplex Algorithm and Goal Programming 5 Sensitivity Analysis: An Applied Approach 6 Sensitivity Analysis and Duality 7 Transportation, Assignment, and Transshipment Problems 8 Network Models 9 Integer Programming 10 Advanced Topics in Linear.
Nonlinear Programming: Concepts, Algorithms and Applications Linear MPC x Real-time x x optimization Supply Chain x x x Scheduling x x x x Flowsheeting x x Equipment x x x Design Reactors x x x x Convergence Theory • Global Convergence - will it converge to a local optimum. Linear programming is a mathematical modelling technique, that is used as a means of optimization. It is capable of helping people solve incredibly complex problems by making a few assumptions. There are quite a few ways to do linear programming, one of the ways is through the simplex method.
Dantzig/Linear Programming, LP • Planning problems: Assign 70 men to 70 jobs; vij beneﬁt of man i assigned to job j (Linear Assignment Problem, LAP) but 70! > (a googol) • Dantzig visited Von Neumann - Oct 3, -. The book covers all main areas and ideas in any regular Linear Algebra course such as: Determinants, Vector Spaces, Eigenvalues, etc. It does a great job in showing real life applications of the concepts presented throughout the book.5/5(2).
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First, it provides a university text of Linear Programming for students of economics or operations research interested in the theory of production and cost and its practical applications; secondly, it is the author's hope that engineers, business executives, managers, and others responsible for the organization and planning of industrial operations may find the book useful as an introduction to Linear Programming methods and gulfpbc.com: Springer-Verlag Wien.
Dec 10, · This item: Linear Programming in Industry: Theory and Applications An Introduction Set up a giveaway There's a problem loading this menu right gulfpbc.com by: 3. First, it provides a university text of Linear Programming for students gulfpbc.comics or operations research interested in the theory of production and cost and its practical applications; secondly, it is the author's hope that engineers, business executives, managers, and others responsible for the organization and planning of industrial operations may find the book useful as an introduction to Linear Programming methods and techniques.
The example of a canonical linear programming problem from the introduction lends itself to a linear algebra-based interpretation. As a reminder, the form of a canonical problem is: Minimize c1x1 + c2x2 + + cnxn = z Subject to a11x1 + a12x2 + + a1nxn = b1.
a21x1 + a22x2 + + a2nxn = b2. 1 Introduction to Linear Programming Linear programming was developed during World War II, when a system with which to maximize the e ciency of resources was of utmost importance. Read: Linear Programming: Theory and Applications pdf book online.
Theory and Applications book Linear programming represents one of the major applications of mathematics to business, industry, and economics.
It provides a methodology for optimizing an output given that is a linear function of a number Theory and Applications book inputs. George Dantzig is widely regarded as the founder of the subject with his invention of the simplex algorithm in the 's.
Linear algorithms in linear programming are presented and they are applicable for other problems as quadratic programming. applied fuzzy theory for more construction fields, and presented more new solving fuzzy methods for construction by linear ranking function.
solving nonlinear problems complexity were reduced by transformations actions Cited by: 2. Fundamental theorem of linear programming. Given a linear program in standard form (12) where A is an m×n matrix of rank m, i) if there is a feasible solution, there is a basic feasible solution; ii) if there is an optimal feasible solution, there is an optimal basic feasible solution.
May 21, · Linear programming provides a method to optimize operations within certain constraints. It makes processes more efficient and cost-effective. Some areas of application for linear programming include food and agriculture, engineering, transportation, manufacturing and energy. The entire book is divided into 6 chapters, which contains the following: gulfpbc.coml Concept of Operation Research gulfpbc.com Programming Problem/Model gulfpbc.comcal Method gulfpbc.comx Method gulfpbc.comy.
Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual.
This book features an ugly, elementary, and complete treatment of determinants early in the book. Optimization Applications in the Airline Industry. Optimization Applications in the Airline Industry. a binary programming model, a model based on the set partitioning problem, and a third.
First, it provides a university text of Linear Programming for students gulfpbc.comics or operations research interested in the theory of production and cost and its practical applications; secondly, it is the author's hope that engineers, business executives, managers, and others responsible for the organization and planning of industrial operations may find the book useful as an introduction to Linear.
May 10, · Integer Programming: Theory, Applications, and Computations provides information pertinent to the theory, applications, and computations of integer programming.
This book presents the computational advantages of the various techniques of integer programming. Organized into eight chapters, this book begins with an overview Book Edition: 1. Linear Programming in Industry, Theory and Applications: An Introduction by Dano, S.
and a great selection of related books, art and collectibles available now at gulfpbc.com Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints.
1 Linear Programming Introduction We describe the ideas and applications of Linear Programming; our presentation is heavily inﬂuenced by Joel Franklin’s excellent book, Methods of Mathematical Economics [Fr].
We strongly recommend this book to anyone interested in a very readable presentation, replete with examples and references.
Applications of Linear Programming 1 The Diet Problem Find the cheapest combination of foods that will satisfy all your nutritional requirements.
• Can be accessed interactively from the NEOS Server at. $\begingroup$ Chapter 8 of Linear Algebra and its Applications (4th edition) on linear programming and game theory is a concise and clear introduction to the simplex method and it also contains a short description of Karmakar's interior-point method.
$\endgroup$ – dwstu Oct 26 '12 at Linear Programming in Infinite-dimensional Spaces: Theory and Applications Edward J. Anderson, Peter Nash Snippet view - Linear programming in infinite-dimensional spaces: theory and applications Duality theory (Mathematics) Linear programming Mathematics / Linear Programming Science / System Theory Vector spaces.
logic, simulation, network analysis, queuing theory, and game theory. Significance of Operations Research The basic question that comes to the mind is what is the importance of OR.Format: Paperback Verified Purchase Dano is a key reference for those who are interested in the history of the application of linear programming to solve the problems of a variety of industries.
The survey of applications primarily covers up to the 's. The information and sample problems in this book are hard to find gulfpbc.com by: 3.First, it provides a university text of Linear Programming for students of or operations research interested in the theory of production economics and cost and its practical applications; secondly, it is the author's hope that engineers, business executives, managers, and others responsible for the organization and planning of industrial operations may find the book useful as an introduction to Linear Programming .