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Question: Do Lattice Multiplication

If you face yourself having to do multiplication without a calculator, multiplying long strings of numbers can seem like a daunting task. Multiplication of more than three digits can be tiresome, complex, and error-prone.

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For example, ['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'The Fitbit Community Forum is where different Fitbit users can converse with each other and share their thoughts, resolutions with common technical problems, diet ideas, or questions they have in mind.'] should be similar to ['Represent the query to find relevant information about it on WikiHow', 'Use the Fitbit Community Forum']

This describes how to program Flipper Big Button Universal Remote.


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Do Division

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There are a variety of ways to do division. You can divide decimals, fractions, or even exponents, and you can do long division or short division. If you want to know how to divide using several methods, just follow these steps.


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Question: Divide Odd Numbers by

Odd number are numbers that are not a multiple of 2, such as 3, 5, 7, and 9. Since you can’t evenly divide an odd number in half, making such a calculation can be tricky.

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This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Divide Square Roots

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Dividing square roots is essentially simplifying a fraction. Of course, the presence of square roots makes the process a little more complicated, but certain rules allow us to work with fractions in a relatively simple way.


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Question: Integrate the Natural Logarithm

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When first encountered, the integral of the natural logarithm        ∫   ln     x    d    x    {\displaystyle \int \ln x{\mathrm {d} }x}       may seem intimidating, but it is actually a simple application of  integration by parts.

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This article will help you in giving a gist on "How To Create A Banner For Free"


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Divide with the British Method

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This article will tell you how to do the British Method for division. It is taught in some US schools in fourth grade to prepare you for fifth grade long division.

This is a corollary to my earlier article about how to make a District 4 Tribute.


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Question: Integrate in Cylindrical Coordinates

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Integration in cylindrical coordinates        (  r  ,  θ   ,  z  )    {\displaystyle (r,\theta ,z)}       is a simple extension of polar coordinates from two to three dimensions.

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Question: Integrate the Sinc Function

The cardinal sine function, also known as the  sinc function,  is the function

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Question: Integrate in Spherical Coordinates

Integration in spherical coordinates is typically done when we are dealing with spheres or spherical objects. A massive advantage in this coordinate system is the almost complete lack of dependency amongst the variables, which allows for easy factoring in most cases.


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Question: Integrate by Parts when One Function Is a Polynomial

Integration by parts is a technique used to integrate a product of two functions. The formula is

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You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Evaluate Multivariable Limits

Limits in single-variable calculus are fairly easy to evaluate. The reason why this is the case is because a limit can only be approached from two directions.

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"['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'Hopefully, it never happens to you that you plagiarize unintentionally, because you read up on what constitutes plagiarism, and you took great care to cite your sources.']" == "['Represent this input in order to find explanatory WikiHow text for it:', 'Cope with Having Accidentally Plagiarized']"

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Integrate by Differentiating Under the Integral

Differentiating under the integral, otherwise known as "Feynman's famous trick," is a technique of integration that can be immensely useful to doing integrals where elementary techniques fail, or which can only be done using  residue theory .


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Question: Integrate by Substitution

When you encounter a function nested within another function, you cannot integrate as you normally would. In that case, you must use u-substitution.

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A Step-by-Step guide to install an Abnous Water Bidet


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Question: Find the Volume of a Washer Using Calculus

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In this article, you will learn to rotate a region formed by two curves around an axis, and to calculate the volume made by the new 3-dimensional shape through the use of calculus.


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Question: Evaluate Complete Elliptic Integrals

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Elliptic integrals are special functions that arise in many areas of mathematics and physics. In general, these functions cannot be written in terms of elementary functions.


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Question: Use Logarithmic Tables

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Before computers and calculators, logarithms were quickly calculated using logarithmic tables. These tables can still be useful for quickly calculating logarithms or multiplying large numbers, once you figure out how to use them.

How to Improve the readability of Text. For Windows


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Question: Solve Exponents

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Exponents are used when a number is multiplied by itself. Instead of writing out        4  ∗   4  ∗   4  ∗   4  ∗   4    {\displaystyle 4*4*4*4*4}      , however, you can simply write out         4   5      {\displaystyle 4^{5}}      .


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Question: Solve Logarithms

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Logarithms might be intimidating, but solving a logarithm is much simpler once you realize that logarithms are just another way to write out exponential equations.


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Question: Solve Exponential Equations

Exponential equations may look intimidating, but solving them requires only basic algebra skills. Equations with exponents that have the same base can be solved quickly.


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Question: Solve Decimal Exponents

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Calculating exponents is a basic skill students learn in pre-algebra. Usually you see exponents as whole numbers, and sometimes you see them as fractions.


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Question: Solve Algebraic Problems With Exponents

In algebra, the operations (adding, subtracting, multiplying, and dividing) performed on variables work the same as the operations performed on numbers.


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Question: Simplify a Square Root

Simplifying a square root isn't as hard as it looks. To simplify a square root, you just have to factor the number and pull the roots of any perfect squares you find out of the radical sign.

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Question: Simplify Complex Numbers

A complex number is a number that combines a real portion with an imaginary portion. Imaginary is the term used for the square root of a negative number, specifically using the notation        i  =    −   1      {\displaystyle i={\sqrt {-1}}}      .

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Question: Multiply Exponents

Exponents are a way to identify numbers that are being multiplied by themselves. They are often called  powers . You will come across exponents frequently in algebra, so it is helpful to know how to work with these types of expressions.


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Question: Prove the Intersecting Chords Theorem of Euclid

When one first reads the Proposition 35 of Book III of Euclid's "Elements", one may be astounded that crossing chords create two equal rectangles, whether their intersection point is in the center or not, but it is fairly easy to understand.

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This method of multiplication and division was used by Descartes and is from Euclid's "Elements", Book VI, Proposition 12. It is based on similar triangles.


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Question: Prove the Angle Sum Property of a Triangle

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It is common knowledge that the sum of all the interior angles of a triangle equals 180°, but how do we know that? To prove that the sum of all angles of a triangle is 180 degrees, you need to understand some common geometric theorems.


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Question: Measure in Inches

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The inch is a standard unit of length in the imperial measurement system. You would usually measure inches using a measuring stick or measuring tape, but there are also ways to determine the number of inches using estimates and conversions.

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Question: Prove the Acute Rule, Book II Prop. 13 of Elements

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PROP. XIII.—Theorem. In any triangle (ABC), the square on any side subtending an acute angle (C) is less than the sum of the squares on the sides containing that angle, by twice the rectangle (BC,CD) contained by either of them (BC) and the intercept (CD) between the acute angle and the foot of the perpendicular on it from the opposite angle.


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Question: Place a Line Equal to a Given Line at an Extreme Point

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Euclid, in his famous 13 book treatise on Geometry, "Elements", gives in Book I Proposition 2, the Solution and Demonstration of how "From a given point (A) to draw a right line equal to a given finite right line (BC)".


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Question: Prove Similar Triangles

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Similar triangles are two triangles that have the same angles and corresponding sides that have equal proportions.  [1]   Proving similar triangles refers to a geometric process by which you provide evidence to determine that two triangles have enough in common to be considered similar.


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Question: Name an Angle

Angles are named in two ways. You can name a specific angle by using the vertex point, and a point on each of the angle’s rays. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle.

This article shows you how to play Snuggle Bug.


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Question: Measure Reach

Measuring your reach, or arm span, is as simple as measuring the length between your fingertips, with your arms outstretched. Extra reach is useful in activities such as rock climbing, boxing, swimming and basketball.


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Given ['Represent the query to find relevant information about it on WikiHow', 'Clean Yourself in the Bath'], a positive would be ['Represent this information to match it with a fitting WikiHow title (or a query).', "Who doesn't like a nice soak in the bath? They are relaxing, therapeutic and a good chance to get your thoughts in order. After a long and stressful day, a bath can be the perfect trick to feel fresh, clean, and at ease."] & a negative would be ['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'This is extrapolated from the book:  Send Lite to Every Fear: the Everyday Hero\'s Litany  and is a follow up to the existing wikiHow: "Transform Negativity with Spiritual Light."']

Question: Make Angles in Math Using a Protractor

Using a protractor can be tricky, especially if you are using one with two sets of numbers. If you understand the concept of acute and obtuse angles, however, learning how to use a protractor is easy.

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The provided query could be "['Represent this information to match it with a fitting WikiHow title (or a query).', 'You can combine chocolate and coconut to make the greatest treat to satisfy all chocolate lovers. This combination can be made into bars or small hearts, depending on who you are giving them to.']" and the positive "['Represent this text', 'Make Chocolate Coconut Bars']"

How to Colour in a Scanned Pencil Sketch Using Gimp.


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Question: Make a Mobius Strip

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The magic circle, or Mobius strip, named after a German mathematician, is a loop with only one surface and no boundaries.  [1]   A Mobius strip can come in any shape and size.

Introducing a series of steps designed to show how to replace the Spirit Bubble Vials in a Swanson Magnetic Post Level.


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Question: Calculate Outliers

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In statistics, an  outlier  is a data point that significantly differs from the other data points in a sample. Often, outliers in a data set can alert statisticians to experimental abnormalities or errors in the measurements taken, which may cause them to omit the outliers from the data set.


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Question: Calculate Mode Using Excel

Microsoft Excel includes a number of statistical functions, including the ability to figure the mean, median and mode of a data sample. While mean, the average of a group of numbers, and median, the midpoint number of a data group, are used more often, mode, the most frequently appearing number in a data group, can be useful as well, such as using the most frequent numeric grade score to provide feedback on the effectiveness of a teaching method.


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Question: Calculate Odds

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The mathematical concept of  odds  is related to, yet distinct from the concept of  probability.  In simplest terms, odds are a way of expressing the relationship between the number of favorable outcomes in a given situation versus the number of unfavorable outcomes.


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Question: Multiply or Divide Two Percentages

Do you have two  percentages  that you wish to multiply together, or divide? Multiplying and dividing percents is different from adding or subtracting them.

This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Calculate Multiple Dice Probabilities

Lots of people think that if you roll three six sided dice, you have an equal chance of rolling a three as you have rolling a ten. This is not the case, however, and this article will show you how to calculate the mean and standard deviation of a dice pool.

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Well Have You Ever Wanted to Embed Your Twitter Tweets into Your Blog Posts. Yes it Possible Using Third Party Applications. But Here The topic is Without Using any Third Party Applications.


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Question: Multiply and Divide Geometrically Like Mother Nature

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This method of multiplication and division was used by Descartes and is from Euclid's "Elements", Book VI, Proposition 12. It is based on similar triangles.


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Question: Modify a Brief Linear Regression Model in Excel

In the article  How to Create a Brief Linear Regression Model in Excel , what was not shown was how to include an ellipse surrounding the data, i.e. create a fair data boundary, which problem has now been solved.


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Question: Order Decimals from Least to Greatest

You can order decimals just as you can order other numbers. With decimals, it is especially important to understand place value. You can use a place value chart to compare the value of comparable digits in each number, or you can use a number line and assess each number’s relative position.

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Question: Memorize Math and Physics Formulas

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Have you ever stayed up all night just to try to memorize formulas for your Maths? Or do you memorize a set of formulas today and forget all about them tomorrow?

This is extrapolated from the book:  Send Lite to Every Fear: the Everyday Hero's Litany  and is a follow up to the existing wikiHow: "Transform Negativity with Spiritual Light."


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Question: Memorize Pi

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Pi  is the ratio of the circumference to the diameter (the diameter is 2 times the radius) of a circle. Computing pi is a common way to judge the computing power of supercomputers, and mathematicians now know approximately 10 trillion digits of pi.


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Question: Measure Mm

To measure millimeters, you would typically use a metric ruler or meter stick. If you do not have a measuring stick, though, there are also ways to estimate the number of millimeters.


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Question: Measure Parallelism

Parallelism is a measurement of whether two surfaces of an object are parallel to each other, or whether two lines are parallel. Parallel simply means that the distances between the two surfaces or two lines are constant.

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Question: Mentally Calculate Primality of Any Three Digit Number

Prime numbers , once considered a mathematical novelty, have entered prime time with the advent of the Internet and modern encryption techniques. While  deciding if a 1024-digit prime number may be computationally difficult , you yourself, with a little bit of practice, can determine the primality of any 3-digit number in your head!

Ever Wanted To Project Your Computer Skills On A TV? Well Read On To Find Out How.


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Question: Measure Length

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Measuring length is a basic skill necessary for a variety of tasks, from simple arts-and-crafts projects to household renovations. Choose the most appropriate measuring tool and know which unit of measurement you intend to find before measuring the length of any object.

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Question: Make Multiple of Singly Even Magic Squares by a Simple Method

Singly even order Magic Squares are those which are divisible by 2 but not by 4. The earliest square would be 6x6 order square, then we have 10x10, 14x14, 18x18 etc.

Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Question: Solve Fraction Questions in Math

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Fraction questions can look tricky at first, but they become easier with practice and know-how. Once you understand the fundamentals of what fractions are, you'll be breezing through fraction problems like a knife through butter.

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Given ['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'Preparing for college can be an exciting yet overwhelming process, and the shopping portion of your preparations can be among the most stressful. Make the experience a little easier by following this guide when you go out to shop for college.'], a positive would be ['represent this input in order to find explanatory wikihow text for it', 'Shop for College']


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Question: Simplify Complex Fractions

Complex fractions are fractions in which either the numerator, denominator, or both contain fractions themselves. For this reason, complex fractions are sometimes referred to as "stacked fractions".

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How to Improve the readability of Text. For Windows


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Question: Simplify an Improper Fraction

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Fractions are numbers that represent parts of whole numbers. If a fraction has a numerator greater than its denominator it is termed an “improper fraction” and can be simplified as a mixed number (a number that combines a whole number and a fraction).

A Step-by-Step guide to install an Abnous Water Bidet


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Question: Simplify Algebraic Fractions

Algebraic fractions look incredibly difficult at first, and can seem daunting to tackle for the untrained student. With a mixture of variables, numbers, and even exponents, it is hard to know where to begin.

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Question: Reduce Fractions

Math is hard. It's easy to forget even core concepts when you are trying to remember dozens of different principles and methods. Here's your refresher on two methods to reduce fractions.

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This article will show you how to Get Past Barracuda Web Filter.


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Question: Rename Mixed Numbers in Simplest Form

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Renaming a mixed number as an improper fraction means to convert it to an equivalent fraction. If you need to write the fraction in its simplest form, you need to complete the added step of simplifying, or reducing it.

How to Rename MP3's Audio Files Using the MP3 Plugin with Namewiz.


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Question: Rationalize the Denominator

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Traditionally, a radical or irrational number cannot be left in the denominator (the bottom) of a fraction. When a radical does appear in the denominator, you need to multiply the fraction by a term or set of terms that can remove that radical expression.


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Question: Order Fractions From Least to Greatest

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While it's easy to order whole numbers like 1, 3, and 8 by size, fractions can be hard to measure at a glance. If each lower number, or denominator, is the same, you can order them like whole numbers, for instance 1/5, 3/5, and 8/5.

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Question: Multiply Fractions With Whole Numbers

Multiplying fractions with whole numbers is simple once you know how to put the whole number in fraction form. If you want to know how to multiply fractions with whole numbers, just follow these 4 very easy steps.

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Question: Find the Least Common Denominator

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In order to add or subtract fractions with different denominators (the bottom number of the fraction), you must first find the least common denominator shared between them.


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Examples:

Given ['Represent the query to find relevant information about it on WikiHow', 'Diagnose Parasites in Horses'] it matches with ['Represent the text to find a WikiHow title / query for it', 'Horses can get a variety of parasitic infections, both internally and externally. These infections are usually not life threatening but they can be uncomfortable for the horse and, in severe cases of neglect, can cause major health problems.'] but not with ['Represent this information to match it with a fitting WikiHow title (or a query)', ' Ways To Stop Hemorrhoids From Destroying Your Quality of Life ']

Question: Multiply Fractions

Multiplying fractions is one of the basic skills anyone who deals with fractions should know. To multiply fractions, you just have to multiply their numerators and the denominators, and then simplify your answer if you can.

This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Subtract Thousands

As you begin to subtract bigger and bigger numbers, the rules of subtraction stay the same; however, the calculations can become trickier because often you will need to regroup, or borrow, several times.


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Question: Find the Reciprocal

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Examples:
Provided: "['Represent this information to match it with a fitting WikiHow title (or a query)', 'Managing people is much more of an art than it is a science. There is no secret formula or set of rules to follow. Like any true art it takes personal style and a relentless commitment to developing that art.']" Match: "['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Manage People']"

Reciprocals are helpful in all sorts of algebraic equations. For example when you are dividing one fraction by another you multiply the first by the Reciprocal of the 2nd.


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Question: Add

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Addition is one of the few things we learn in school that we're actually asked to put into use every day of our lives. Luckily, it's easy to learn how to add.


Question: Add and Subtract Square Roots

To add and subtract square roots, you need to combine square roots with the same radical term. This means that you add or subtract 2√3 and 4√3, but not 2√3 and 2√5.


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Question: Divide Decimals

Dividing decimals can be a bit trickier than dividing whole numbers. But if you know how to master a few tricks, you'll be able to divide decimals in no time.


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E.g.
['Represent this input in order to find explanatory WikiHow text for it', 'Work Out if You Still Love Your Ex'] == ['Represent this text to find corresponding user-written input on WikiHow which the text answers:', "Although you may be history in terms of being together, there may be little feelings needling away at you that you still hold a flame for your ex. If you're concerned that you may still love your ex and need to understand these feelings as part of working through the end of the relationship, this article will provide some suggestions that will help to guide you."] != ['Represent the text to find a WikiHow title / query for it', ' Ever Wanted To Project Your Computer Skills On A TV? Well Read On To Find Out How. ']

Question: Divide Double Digits

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Dividing double digits is a lot like single-digit long division, but it does take a little longer and some practice. Since most of us haven't memorized our 47 times tables, this can take a little guesswork, but there's a handy trick you can learn to make it faster.


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Question: Add Binary Numbers

The binary number system works similarly to the base 10 decimal system we are used to using, except that it is a base 2 system consisting of only two digits, 1 and 0.

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Question: Add and Subtract Integers

You might think of  integers  as just ordinary numbers, like 3, -12, 17, 0, 7000, or -582 but many people do confuse them as whole numbers. Integers are a lot like whole numbers but they also contain their additive inverse and zero. (


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Question: Add 5 Consecutive Numbers Quickly

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Bet someone you can add five consecutive integers faster than they can. You can use this as a  bar trick , with your friends, or (if you are a student) impress your teacher!


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Question: Divide Exponents

Dividing expressions that have exponents is easier than it looks. As long as you're working with the same base, all you have to do is subtract the values of the exponents from each other and keep the base the same.

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Question: Cross Multiply

Cross multiplying is a way to solve an equation that involves a variable as part of two fractions set equal to each other. The variable is a placeholder for an unknown number or quantity, and cross-multiplying reduces the proportion to one simple equation, allowing you to solve for the variable in question.

This is simple steps to DTX mod Combat Arms with Photoshop.


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Question: Divide Binary Numbers

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Binary division problems can be solved using long division, which is a useful method for teaching the process to yourself or writing a simple computer program.


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Question: Determine the Number of Divisors of an Integer

A divisor, or factor, is a number that divides evenly into a larger integer.  [1]   It is easy to determine how many divisors a small integer (such as 6) has by simply listing out all the different ways you can multiply two numbers together to get to that integer.

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The Greatest Common Divisor (GCD) of two whole numbers, also called the Greatest Common Factor (GCF) and the Highest Common Factor (HCF), is the largest whole number that's a divisor (factor) of both of them.


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Question: Teach the Multiplication Tables to Your Child

Many children struggle with learning their times tables--as their parent, you may feel like it's your duty to help. After all, they'll need quick multiplication skills to help them throughout high school, college, and life.

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Question: Multiply With Your Hands

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Being able to multiple with your fingers is a valuable skill to have, and people have been doing it since at least the 15th century. We may have cellphone calculators, but in many cases it is actually easier to keep your phone in your pocket and multiply with your fingers.

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Question: Check Divisibility of

You've probably already noticed a pattern with some multiples of 11. The two digit numbers are easy to recognize: 11, 22, 33, 44, and so on. But once you get to larger numbers, it's difficult to recognize them at a glance.

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Given ['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Turn Android Into a Strobe Light'] it matches with ['Represent this information to match it with a fitting WikiHow title (or a query)', ' For Android phones that have an LED light, you can turn it into a makeshift strobe light. This can be done with an app on Android. '] but not with ['Represent this text to find corresponding user-written input on WikiHow which the text answers', ' Follow these simple steps to connect your Computer to your Stereo System. ']

Question: Multiply

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Multiplication is one of the four basic operations in elementary arithmetic and can be considered repeated  addition . It's the mathematical operation of scaling one number by another number.

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Question: Calculate Divisibility By Single Digit Numbers

Many times in math, you find yourself wondering whether a big number is divisible by a single digit. While this is easy enough to determine using a calculator, you might not always have access to one, or you might want a shortcut to help you determine divisibility before going through the trouble of calculating.


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Question: Divide a Whole Number by a Decimal

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Dividing by a decimal number can look difficult at first. After all, no one taught you the "0.7 times tables." The secret is to change the division problem into a format that only uses whole numbers.

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How to Colour in a Scanned Pencil Sketch Using Gimp.


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Question: Solve the Wave Equation in One Dimension

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The wave equation is one of the most important partial differential equations, as it describes waves of all kinds as encountered in physics. In this article, we use Fourier analysis to solve the wave equation in one dimension.


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Question: Create a Times Table to Memorize in Excel

In this article, you'll learn to create a Times Table or Multiplication Table in Microsoft Excel, which can be adapted to being a Division Table and saved separately.


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Question: Solve Exact Differential Equations

Exact differential equations are a subset of first-order ordinary differential equations. An equation of the form        P  (  x  ,  y  )    d    x  +  Q  (  x  ,  y  )    d    y  =  0    {\displaystyle P(x,y){\mathrm {d} }x+Q(x,y){\mathrm {d} }y=0}       is considered to be exact if the following condition holds.


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Fewshots:
'['Represent the query to find relevant information about it on WikiHow', 'Organize Your Home']' == '['Represent this information to match it with a fitting WikiHow title (or a query)', 'Is clutter driving you crazy? An organized lifestyle can mean efficiency in your day and a more relaxing time while at home. Your home will look cleaner and you will find that you have more space which is easier to use and enjoy.']' != '['Represent the text to find a WikiHow title / query for it', ' Here is how to Create an Album on Kitsap County Buy Sell Trade via your iPhone. ']'

Question: Solve the Series RLC Circuit

The series RLC circuit is a circuit that contains a resistor, inductor, and a capacitor hooked up in series. The governing differential equation of this system is very similar to that of a damped harmonic oscillator encountered in classical mechanics.

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Question: Solve Differential Equations Using Laplace Transforms

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Given ['Represent the text to find a WikiHow title / query for it', ' You would like an alternative to Gimp or Photoshop. Gimpshop is like a meeting of the two. To install, just read this article. '], a positive would be ['Represent this input in order to find explanatory WikiHow text for it', 'Install Gimpshop']

The  Laplace transform  is an integral transform that is widely used to solve linear differential equations with constant coefficients. When such a differential equation is transformed into Laplace space, the result is an algebraic equation, which is much easier to solve.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Solve Poisson's Equation Using Fourier Transforms

Poisson’s equation is an important partial differential equation that has broad applications in physics and engineering. This article will deal with electrostatic potentials, though the techniques outlined here can be applied in general.


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Question: Solve a Separable Ordinary Differential Equation

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Separation of variables is one of the most important techniques in solving differential equations. In this article, we show how to apply this to ordinary differential equations.

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Question: Determine Convergence of Infinite Series

Infinite series can be daunting, as they are quite hard to visualize. By inspection, it can be difficult to see whether a series will converge or not.

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Question: Solve Linear Differential Equations Using the Method of Undetermined Coefficients

The method of solving linear differential equations with constant coefficients is a very simple and straightforward process of solving equations of the form below, where        Q  (  x  )  =  0.


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Question: Derive the BAC‐CAB Identity Using Index Notation

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The vector triple product involves taking two cross products. Because this can often be tedious to calculate, we often use BAC-CAB, a useful mnemonic that simplifies vector calculations by converting a problem requiring computation of cross products into one that computes dot products.


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Question: Solve Laplace's Equation in Spherical Coordinates

Laplace's equation         ∇    2    f  =  0    {\displaystyle \nabla ^{2}f=0}       is a second-order partial differential equation (PDE) widely encountered in the physical sciences.


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Question: Calculate the Laplace Transform of the Natural Logarithm

The  Laplace transform  is an integral transform widely used to solve differential equations with constant coefficients. The transforms are typically very straightforward, but there are functions whose Laplace transforms cannot easily be found using elementary methods.

You will learn how to chart the Linear Area of a Power Function with coefficient and constant versus its Derivative in Microsoft Excel per the following steps, as Calculus may also be used in creating Microsoft Excel Imagery.


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Question: Solve Homogeneous Linear Differential Equations with Constant Coefficients

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A linear ordinary differential equation is one of the form below.


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Question: Derive the Cauchy‐Riemann Equations

In complex analysis, a holomorphic function is a function that is complex differentiable in a neighborhood of every point in its domain (i.e., analytic).

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Learn how to solve a*b*c*...*i = a^(b*c*...*i) via goal seeking and Neutral Operations ("Neu Ops") in Excel. The algebra is wicked, but the solution falls easily to goal seeking.


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Question: Differentiate Polynomials

Differentiating a polynomial function can help track the change of its slope. To differentiate a polynomial function, all you have to do is multiply the coefficients of each variable by their corresponding exponents, lower each exponent by one degree, and remove any constants.

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Question: Find a Square Root Without a Calculator

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Calculating square root is easy if you have a whole number. If you don’t, there’s a logical process you can follow to systematically figure out the square root of any number, even if you don’t use a calculator.


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Question: Divide Logarithms

Logarithms may look difficult to use, but just like exponents or polynomials, you just need to learn the correct techniques. You only need to know a couple basic properties to divide two logarithms of the same base, or to expand a logarithm that contains a quotient.

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Question: Add Exponents

An exponent, also called a power or index,  [1]   is a number that tells you how much to multiply a base number. To solve an addition sentence that includes exponents, you must know how to find the value of the individual exponential expressions, either by hand or by using a calculator.


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Question: Calculate Multiple Integrals

In calculus, the multiple integral generalizes the definite integral to functions of more than one variable. Multiple integration is straightforward and similar to single-variable integration, though techniques to simplify calculations become more important.


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Question: Calculate the Fourier Transform of a Function

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The Fourier transform is an integral transform widely used in physics and engineering. They are widely used in signal analysis and are well-equipped to solve certain partial differential equations.

You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Calculate the Gradient

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In multivariable calculus, the gradient generalizes the partial derivative to multiple dimensions. Calculating the gradient is thus a straightforward application of partial derivatives, with many applications in the physical sciences.

Introducing a series of steps designed to show how to replace the Spirit Bubble Vials in a Swanson Magnetic Post Level.


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For instance you may be given '['represent this input in order to find explanatory wikihow text for it', 'Annotate Your Images Using KPhotoAlbum']' and it should match with '['Represent this information to match it with a fitting WikiHow title (or a query)!', 'Annotating your images in KPhotoAlbum is, basically, tagging them. Before you do much of anything with your images, like make slideshows or share them, you want to know what is in them.']' but not with '['Represent the text to find a WikiHow title / query for it', " How to Rename MP3's Audio Files Using the MP3 Plugin with Namewiz. "]'.

Question: Calculate Surface Integrals

Surface integrals are a generalization of line integrals. While the line integral depends on a curve defined by one parameter, a two-dimensional surface depends on two parameters.

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Question: Calculate Cube Root by Hand

With the use of calculators, finding the cube root of any number may be just buttons away. But perhaps you don't have a calculator, or you want to impress your friends with the ability to calculate a cube root by hand.


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Question: Memorize the Perfect Squares in Math

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Memorizing perfect squares in math can be tough to do, but you will be glad once you did. Knowing your perfect squares can make it easier to compute larger numbers without using a calculator and save you valuable time on tests and quizzes.

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Question: Calculate a Square Root by Hand

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In the days before calculators, students and professors alike had to calculate square roots by hand. Several different methods have evolved for tackling this daunting process, some giving a rough approximation, others giving an exact value.


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Question: Figure out 10 to the Power of Any Positive Integer

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Figuring out 10 to the power of any positive integer is easier than it looks. All you have to do is know that the exponent above the number 10 simply indicates the number of times that you have to multiply 10 by itself.

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This is an article on "How to Get Group Hug Achievement in Modern Warfare2"


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Question: Understand Logarithms

Confused by the logarithms? Don't worry! A logarithm (log for short) is actually just an  exponent  in a different form.

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Question: Double a Number

Doubling large numbers can seem intimidating at first, but the task becomes easier with practice. There are multiple methods you can use to double a number.


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Question: Make a Flexagon

A flexagon is a polygon folded out of paper in such a way that there are three patterned faces.  [1]   To make a flexagon you only need some paper, a template, scissors, and glue.

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Question: Teach a Child to Carry Numbers

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Children are often confused and mystified by the need to carry numbers in addition and multiplication. It's up to you to unveil the secrets and make it simple.

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Question: Graph a Circle

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A circle is a two-dimensional shape made by drawing a curve. In trigonometry and other areas of mathematics, a circle is understood to be a particular kind of line: one that forms a closed loop, with each point on the line equidistant from the fixed point in the center.


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Question: Find the Third Angle of a Triangle

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Finding the third angle of a triangle when you know the measurements of the other two angles is easy. All you've got to do is subtract the other angle measurements from 180° to get the measurement of the third angle.

Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Find the Radius of a Sphere

The radius of a sphere (abbreviated as the variable  r  or  R ) is the distance from the exact center of the sphere to a point on the outside edge of that sphere.

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Question: Find the Perimeter of a Rectangle

The perimeter of a rectangle is the sum total length of all of its sides.  [1]   A rectangle is defined as a quadrilateral, or a geometric shape with four sides.

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For instance, <<['Represent this text to find corresponding user-written input on WikiHow which the text answers', ' Breeding cows is a handy skill in minecraft and will make it much easier to obtain beef and leather. ']>>  to <<['represent this input in order to find explanatory wikihow text for it', 'Breed a Cow in Minecraft']>>


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Question: Find the Perimeter of a Trapezoid

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A trapezoid is defined as a quadrilateral with two parallel sides. As with any polygon, to find the perimeter of a trapezoid you need to add all four of its sides together.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Find the Perimeter of a Polygon

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Given ['Represent this text to find corresponding user-written input on WikiHow which the text answers', "Proving your fandom could be a hard day's work but with a few tips and advice showing the world you're the ultimate Doctor Who fan, or Whovian as they are known, could be made easy."], a positive would be ['Represent the query to find relevant information about it on WikiHow', 'Be a Whovian']

In geometry, the term "perimeter" usually refers to the  total distance around the outside of a polygon , a 2-dimensional shape of 3 or more sides and angles.


Question:
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E.g. ['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Grow Verbena'] == ['Represent this information to match it with a fitting WikiHow title (or a query)', 'Verbena is an extremely versatile flowering plant that thrives in hanging baskets, beds, rock gardens and window boxes.  [1]   It is an annual in seasonal climates and a perennial in warmer areas, where blooms are frequent and colorful throughout the summer.'] != ['Represent this information to match it with a fitting WikiHow title (or a query)', ' Pioneer Covered Wagon ']

Question: Find the Perimeter of a Rhombus

A rhombus is a parallelogram with four congruent sides.  [1]   These properties allow for numerous methods for finding the perimeter. Since all four sides of a rhombus are of equal length, finding the perimeter is possible when one side length is known.


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Question: Find the Height of a Triangle

To calculate the area of a triangle you need to know its height. If this information is not given to you, you can easily calculate it based on what you do know!

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This article will help you in giving a gist on "How To Create A Banner For Free"


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Question: Find The Height Of a Prism

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A prism is a three-dimensional solid with two parallel bases, or faces, that are congruent.  [1]   The shape of the base determines what type of prism you have, such as a rectangular or triangular prism.

Here is the way to make the most of the "4 Secrets of MySpace Music Promotion".


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Question: Calculate Growth Rate

To many readers, "Calculating a growth rate" may sound like an intimidating mathematical process. In actuality, growth rate calculation can be remarkably simple.

This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Calculate Inflation

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Inflation is a key concept in economics that represents the increase in the price of consumer products over a period of time.  [1]   It can also be used to calculate deflation, or a drop in prices.

A Step-by-Step guide to install an Abnous Water Bidet


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Question: Find the Center of a Circle

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Finding the center of a circle can help you perform basic geometric tasks like finding the circumference or area. There are several ways to find the center point!

Here is how to Create an Album on Kitsap County Buy Sell Trade via your iPhone.


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Question: Calculate Human Life Value

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Politicians love to tell their constituents that every life is priceless, worth saving at any cost. Any who say otherwise can expect to be accused of "supporting death panels," "putting corporate profits ahead of children's lives," or "wanting arsenic in your water supply" in their next election campaign.

This is extrapolated from the book:  Send Lite to Every Fear: the Everyday Hero's Litany  and is a follow up to the existing wikiHow: "Transform Negativity with Spiritual Light."


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Question: Calculate Cumulative Frequency

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In statistics, absolute frequency refers to the number of times a particular value appears in a data set. Cumulative frequency is different: it is the sum (or running total) of all the frequencies up to the current point in the data set.

One of the more useful tools of Excels in Goal seeking. Here is how to apply it to quickly solve a problem involving Neutral Operations between two circle areas.


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Calculate Covariance

Covariance is a statistical calculation that helps you understand how two sets of data are related to each other. For example, suppose anthropologists are studying the heights and weights of a population of people in some culture.

You will learn how to chart the Linear Area of a Power Function with coefficient and constant versus its Derivative in Microsoft Excel per the following steps, as Calculus may also be used in creating Microsoft Excel Imagery.


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Question: Find Perimeter

The general way to find the perimeter of any shape is to add up the length of all its sides. For certain shapes, such as rectangles and circles, there are specific formulas you can use to simplify the process.

represent this information to match it with a fitting wikihow title (or a query)
For example, '['Represent this information to match it with a fitting WikiHow title (or a query)', "These days, there are few people that haven't heard of the massive entity that is World of Warcraft. Whether you've been playing the game for years, or wish to play but fear becoming the stereotypical addict, this guide may help you to avoid the far reaching consequences of addiction to WOW or any other game."]' should be close to '['', 'Prevent Addiction to World of Warcraft']'


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Question: Calculate Expected Opportunity Loss (EOL)

Expected opportunity loss (EOL) is a statistical calculation used primarily in the business field to help determine optimal courses of action. Doing business is full of decision making.

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Question: Calculate Cost Increase Percentage

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As prices increase on many of the things you use in your day-to-day life, it may become necessary for you to calculate that increase for forecasting or accounting purposes.

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Question: Calculate Average Age

Do you need to calculate the average age? It's easy to do. All you need to do is use a simple three-step process, and you should be able to figure it out.

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How to Improve the readability of Text. For Windows


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Question: Calculate Confidence Interval

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To give you a sense - "['Represent this information to match it with a fitting WikiHow title (or a query)!', "Do you have $3,000 or more in credit card debt? Does it feel like you're always paying the bills, but the debts never go away? It's time to eliminate those pesky, high-interest credit cards, and here is a way to do it with no additional income."]" should be close to "['Represent this text to find WikiHow information for it (a few sentences maybe).', 'Eliminate Debt Without Extra Income']"

A confidence interval is an indicator of your measurement's precision. It is also an indicator of how stable your estimate is, which is the measure of how close your measurement will be to the original estimate if you repeat your experiment.

This is an article on "How to Get Group Hug Achievement in Modern Warfare2"


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Question: Make Math Symbols on Your Mac (OS X)

Are you planning to write up a math-related article or document but lost when it comes to the symbols? Learn how to type mathematical symbols using the Keyboard Viewer in Macintosh System OS X.

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Converting and Uploading Videos to your PSP!


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Question: Make a Protractor

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Protractors are a tool used in mathematics to measure angles in degrees. You might need a protractor to work on homework or make construction plans, so learning how to make your own can come in handy.


Question: Make Math Easy

If you or your kids are struggling with math, you're likely looking for ways to make it easier. When working on math, each concept builds on the one before, so you need to start with the basics, especially with young kids.

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Question: Make a Pascal's Triangle

Pascal's Triangle is an arrangement of multiple numbers that have been found to relate to many areas of math and science. This article will explain how you can form it.

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Here is an easy & quick way to make a Maplestory Video.


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Question: Make a Pie Chart for Math in Excel

Pie charts capture your data and present it graphically at a glance!! They are simple and quick to make in Excel.


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Question: Make a Parabolic Growth Chart with Semiannual Dieoffs

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You will learn to make a Growth Chart of a parabolic growth rate with 2 annual severe die-offs of the population (one in winter and one due to overfishing), as is probably typical for many fish species.

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E.g.:
['represent this information to match it with a fitting wikihow title (or a query):', 'If you have grains in your photographs and if, you have a basic knowledge of  Use Adobe After Effects , than you can use the software to remove grains from your Photos.'] == ['Represent this text to find WikiHow information for it (a few sentences maybe).', 'Remove Grains from Photographs Using After Effects']

How to Colour in a Scanned Pencil Sketch Using Gimp.


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Question: Make a Mathematical Model

A mathematical model is a description of a system using mathematical language. Mathematical models are used not only in the natural sciences and engineering disciplines but they are also used in biology, economics and sociology.

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This is extrapolated from the book:  Send Lite to Every Fear: the Everyday Hero's Litany  and is a follow up to the existing wikiHow: "Transform Negativity with Spiritual Light."


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Question: Love Solving Math Problems

Mathematics is disliked by most students. They condemn this subject which often causes that red mark on the report card. Being good at Math is a skill, which means that it can be developed.

This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Learn Math

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Anyone can learn math whether they're in higher math at school or just looking to brush up on the basics. After discussing ways to be a good math student, this article will teach you the basic progression of math courses and will give you the basic elements that you'll need to learn in each course.

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This article shows you how to play Snuggle Bug.


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Question: Make a False Proof Using Infinity

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Want to play a clever trick on your friends? How about proving to them that one is the same thing as zero! Using this method, you will ask your friends questions that will lead them inevitably to this conclusion (or any other conclusion you want) whether they like it or not.


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Question: Find Equivalent Fractions

Two fractions are equivalent if they have the same value. Knowing how to convert a fraction into an equivalent one is an essential math skill that's necessary for everything from basic algebra to advanced calculus.

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A Step-by-Step guide to install an Abnous Water Bidet


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Question: Estimate Fractions

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Estimating (or making an educated guess) can be very helpful when it comes to fractions. If you're trying to figure out certain proportions without having the data or time to come to a precise answer, making a proper estimation will set you on the right track.

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Question: Divide Mixed Fractions

A mixed number, or mixed fraction, is a number that combines a whole number and a fraction.  [1]   It is possible to divide mixed numbers; however, doing so requires converting them to improper fractions first.

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Question: Divide Fractions by a Whole Number

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Dividing fractions by a whole number isn't as hard as it looks. To divide a fraction by a whole number, all you have to do is to convert the whole number into a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.


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Question: Divide a Whole Number With a Fraction

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When dividing a whole number by a fraction, you are finding how many groups of the fraction you can fit in the whole. The standard way of dividing a whole number by a fraction is to multiply the whole number by the reciprocal of the fraction.


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Question: Convert a Whole Number to an Improper Fraction

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You can easily convert a whole number to a fraction by putting it over one, right? You can, however, convert it to an unreduced fraction. It's not difficult at all!

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You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Compare Fractions

Comparing fractions means looking at two fractions and figuring out which one is greater. To compare fractions, all you have to do is to make it so that they have the same denominator and then see which fraction has the greater numerator -- this will tell you which fraction is greater.


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Question: Convert Repeating Decimals to Fractions

A repeating decimal, also known as a recurring decimal, is a decimal number that has a digit or digits that infinitely repeat at regular intervals. Repeating decimals can be tricky to work with, but they can also be converted into a fraction.


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Question: Convert an Improper Fraction to Percent

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An improper fraction is a fraction with a larger numerator than denominator. You can convert an improper fraction to a percent the same way that you would convert any fraction to a percent.

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Question: Convert Improper Fractions Into Mixed Numbers

In math, improper fractions are fractions where the numerator (the top half) is a number that is bigger than or equal to the denominator (the bottom half).


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Question: Divide a Fractional Algebraic Expression by a Fractional Algebraic Expression (Using the Fractional Bar Form)

A fraction containing a fraction in the numerator and denominator is a called a complex fraction. These types of expressions can be daunting, especially when they are algebraic expressions including variables.

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Question: Calculate the Volume of a Pyramid

To calculate the volume of a pyramid, use the formula        V  =    1  3    l  w  h    {\displaystyle V={\frac {1}{3}}lwh}      , where  l  and  w  are the length and width of the base, and  h  is the height.

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Question: Calculate the Volume of a Cube

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A cube is a three-dimensional shape that has equal width, height, and length measurements. A cube has six square faces, all of which have sides of equal length and all of which meet at right angles.

Here is a software alternative to the traditional way to  Calculate the Beats Per Minute (BPM) of a Song . This makes use of the Propellerhead program recycle.


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Question: Classify Fractions

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Basic fraction classification identifies individual fractions by their type according to certain characteristics. Beyond the basics, you can also classify fractions based on how they relate to other fractions within a group or set.


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Question: Calculate the Volume of a Cylinder

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A cylinder is a simple geometric shape with two equally-sized and parallel circular bases. This wikiHow will teach you how to calculate the volume of a cylinder.

In this article, you will learn about how to calculate the volume of a regular octahedron, a polyhedron with eight faces.


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Question: Use the Pythagorean Theorem

The Pythagorean Theorem describes the lengths of the sides of a right triangle in a way that is so elegant and practical that the theorem is still widely used today.

You will learn how to chart the Linear Area of a Power Function with coefficient and constant versus its Derivative in Microsoft Excel per the following steps, as Calculus may also be used in creating Microsoft Excel Imagery.


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Question: Compare Decimals

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Decimals are a way to write fractions and mixed numbers without using a numerator and denominator. Because the denominator isn’t written, it may be difficult at first to compare the values of two or more decimals, particularly when they have a different number of digits after the decimal point.


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Question: Find Density

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An object's density is defined as its mass per unit of volume. Density is used in geology, metallurgy and other physical sciences as an identifying property of rocks, minerals and metals and in calculations for an object's buoyancy in a given liquid to determine if it will float in that liquid.

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Question: Calculate Volume of a Box

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"['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'Similar to Ebola virus, Marburg hemorrhagic fever is a very rare but dangerous type of hemorrhagic fever that affects both humans and primates. Reducing your chance of infection and recognizing the symptoms early can mean the difference between life and death if you or someone you know contracts Marburg.']" == "['Represent the query to find relevant information about it on WikiHow', 'Recognize Marburg Hemorrhagic Fever Symptoms']"

Whether you need to to mail a package or pass you next test, finding the volume of a box is easy. Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box.

Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Question: Determine Cubic Yards

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Cubic yards (abbreviated "yd 3 " or "cu yd")are a unit of volume measurement equal to the volume of a cube whose sides are exactly one yard in length or about 764.5 liters (202.0 US gal).


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Question: Calculate the Volume of a Sphere

A sphere is a perfectly round geometrical object that is three dimensional, with every point on its surface equidistant from its center. Many commonly-used objects such as balls or globes are spheres.

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Question: Calculate the Volume of a Square Pyramid

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A square pyramid is a three-dimensional solid characterized by a square base and sloping triangular sides that meet at a single point above the base.


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Question: Calculate the Volume of an Irregular Object

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Perhaps you already know how to calculate the volume of a cube or a cone, by taking a few measurements and performing the right calculations. But how much space does a fork take up, or a toy car?


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Question: Calculate the Volume of a Regular Tetrahedron

In this article, you will learn how to calculate the volume of regular tetrahedron. It isn't hard once you memorize the formula.

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You'll learn to make the Lemniscate Curve of 30 Sinewave Spheres pictured below, plus the many variations possible, via Microsoft Excel. This is also called the "Infinity Curve".


Question: Calculate CBM

CBM  stands for “cubic meters.” When abbreviated in this manner, this measurement typically refers to the total number of cubic meters required to pack and ship packages.


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Question: Calculate the Volume of a Rectangular Prism

Calculating the volume of a rectangular prism is easy once you know its width, length, and height. Read this wikiHow to learn how.


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Question: Calculate Volume

The volume of a shape is the measure of how much three-dimensional space that shape takes up.  [1]   You can also think of the volume of a shape as how much water (or air, or sand, etc.)

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Question: Calculate the Volume of a Prism

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A prism is a solid geometric figure with two identical ends and all flat sides. The prism is named after the shape of its base, so a prism with a triangular base is called a "triangular prism."

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Question: Calculate the Volume of a Regular Dodecahedron

Regular dodecahedron is a 3D figure that has 12 sides.  Each side is made up of one regular pentagon.  Once you memorize the formula, calculating the volume of it is very easy.

An  icosahedron  is a polyhedron that has twenty triangular faces. A  stellated  icosahedron has each of those faces raised to a triangular pyramid.


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Question: Calculate the Volume of a Cone

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You can calculate the volume of a cone easily once you know its height and radius and can plug those measurements into the formula for finding the volume of a cone.


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Question: Calculate the Volume of a Triangular Prism

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In math, a triangular prism is a three-sided polyhedron with two parallel triangular bases and three rectangular faces. It should not be confused with a  pyramid.


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For instance you may be given '['represent the natural language', 'Roast Raw Almonds']' and it should match with '['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'Almonds contain a full range of B vitamins, vitamin E and minerals like magnesium, copper, zinc, potassium and iron. They help in lowering total cholesterol.']' but not with '['Represent the text to find a WikiHow title / query for it:', ' Indian Spicy Tea!How to make... ']'.

Question: Calculate the Volume of a Regular Octahedron

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In this article, you will learn about how to calculate the volume of a regular octahedron, a polyhedron with eight faces.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Use Distance Formula to Find the Length of a Line

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You can measure the length of a vertical or horizontal line on a coordinate plane by simply counting coordinates; however, measuring the length of a diagonal line is trickier.


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Question: Resolve a Vector Into Components

A vector is a graphic representation of some physical force. It could represent motion, such as a plane traveling in a northeasterly direction at 400 mph (640 km/h).


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Question: Do Long Division

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A part of basic arithmetic, long division is a method of solving and finding the remainder for division problems that involve numbers with at least two digits.


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Question: Learn the Different Equations for a Line

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The provided query could be "['represent this information to match it with a fitting wikihow title (or a query)', 'Whooping cough, or pertussis, is a respiratory tract infection that is highly contagious. Anyone can get whooping cough, but it usually affects babies and young children who haven’t completed the vaccination cycle.']" and the positive "['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Protect Your Baby from Whooping Cough']"

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.

In This Tutorial You Will Be Learning How To Port Forward With a Belkin Router For Garry's Mod


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Question: Normalize a Vector

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A vector is a geometric object that has direction and magnitude. It may be represented as a line segment with an initial point (starting point) on one end and an arrow on the other end, such that the length of the line segment is the magnitude of the vector and the arrow indicates the direction of the vector.

This is a corollary to my earlier article about how to make a District 4 Tribute.


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Question: Graph Polar Equations

Polar functions are functions of the form r = f(θ). While you can make some really cool graphs with them, they are really quite tricky to work with.

This is simple steps to DTX mod Combat Arms with Photoshop.


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Question: Graph Points on the Coordinate Plane

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In order to graph points on the coordinate plane, you have to understand the organization of the coordinate plane and know what to do with those (x, y) coordinates.

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This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Quickly Determine the Equation of a Straight Line in a Graph

Often, determining the equations of lines on a graph can take a lot of calculation. But with simple straight lines, you need barely any calculations.


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Given ['Represent this input in order to find explanatory WikiHow text for it!', 'Convert Feet to Inches'], a positive would be ['Represent this information to match it with a fitting WikiHow title (or a query).', 'The foot is a type of imperial unit with a length equal to exactly 12 inches. This means that converting from feet to inches is easy —  just multiply by 12.'] & a negative would be ['represent this information to match it with a fitting wikihow title (or a query)\nFewshot example: "Sometimes the hardest part of traveling is leaving your pet behind for extended periods of time. However, bringing your dog along on a trip should not be an afterthought and should be given a significant amount of planning." == "Travel with Dogs"', 'Here is a software alternative to the traditional way to  Calculate the Beats Per Minute (BPM) of a Song . This makes use of the Propellerhead program recycle.']

Question: Graph a Rational Function

A rational function is an equation that takes the form  y  = N( x )/D( x ) where N and D are polynomials. Attempting to sketch an accurate graph of one by hand can be a comprehensive review of many of the most important high school math topics from basic algebra to differential calculus.


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Question: Calculate a Basic Derivative of a Function

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This is intended as a guide to assist those who must occasionally calculate derivatives in generally non-mathematical courses such as economics, and can also be used as a guide for those just starting to learn calculus.

You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Solve the Pendulum

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A pendulum is an object consisting of a mass suspended from a pivot so that it can swing freely. The mathematics of pendulums are governed by the differential equation

This article will tell you how to solve the Haunted House on Poptropica.


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Question: Calculate Indefinite Integrals

Integration is the inverse operation of differentiation. It is typically harder to integrate elementary functions than to find their derivatives. The reason is because a derivative is only concerned with the behavior of a function at a point, while an integral requires  global  knowledge of a function.

You will learn how to chart the Linear Area of a Power Function with coefficient and constant versus its Derivative in Microsoft Excel per the following steps, as Calculus may also be used in creating Microsoft Excel Imagery.


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Calculate a Basic Limit

Calculating a limit can take a while to get a hang of. Below is a simple explanation of basic limit problems solved using different methods. With these easy steps, you can take on any limit problem.

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One of the more useful tools of Excels in Goal seeking. Here is how to apply it to quickly solve a problem involving Neutral Operations between two circle areas.


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Question: Solve Differential Equations

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A differential equation is an equation that relates a function with one or more of its derivatives. In most applications, the functions represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between them.

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Question: Derive Logistic Growth

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A logistic function is an S-shaped function commonly used to model population growth. Population growth is constrained by limited resources, so to account for this, we introduce a carrying capacity of the system        L  ,    {\displaystyle L,}       for which the population asymptotically tends towards.

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Question: Solve a Second Order Partial Differential Equation

Second order partial differential equations can be daunting, but by following these steps, it shouldn't be too hard.

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Question: Calculate Contour Integrals

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Contour integration is integration along a path in the complex plane. The process of contour integration is very similar to  calculating line integrals  in multivariable calculus.

How to Colour in a Scanned Pencil Sketch Using Gimp.


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Question: Integrate by Parts

Integration by parts is a technique used to evaluate integrals where the integrand is a product of two functions.

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Question: Integrate by Partial Fractions

When integrating functions involving polynomials in the denominator, partial fractions can be used to simplify integration. New students of calculus will find it handy to learn how to decompose functions into partial fractions not just for integration, but for more advanced studies as well.

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Question: Use Jacobians

Jacobian change of variables is a technique that can be used to solve integration problems that would otherwise be difficult using normal techniques.

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This is an in depth article of how to identify Galloway Cattle.


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Question: Integrate Gaussian Functions

The Gaussian function        f  (  x  )  =   e   −    x   2        {\displaystyle f(x)=e^{-x^{2}}}       is one of the most important functions in mathematics and the sciences.

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Question: Solve Related Rates in Calculus

Calculus is primarily the mathematical study of how things change. One specific problem type is determining how the rates of two related items change at the same time.

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Question: Find Inflection Points

In calculus, an inflection point is a point on a curve where the curvature changes sign. It is used in various disciplines, including engineering, economics, and statistics, to determine fundamental shifts in data.

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This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7