text string | cc-path string | domain string | lang string | lang_score float64 | timestamp timestamp[s] | url string | math_score float64 |
|---|---|---|---|---|---|---|---|
**Simulated Annealing for Traveling Salesman Problem**
Simulated annealing is a local search algorithm used to find satisfactory solutions to complex problems with numerous permutations or combinations. It operates by decreasing temperature according to a schedule, allowing it to transition from random to improved sol... | CC-MAIN-2024-42/segments/1727944253762.73/warc/CC-MAIN-20241011103532-20241011133532-00145.warc.gz | annytab.com | en | 0.735634 | 2024-10-11T12:21:38 | https://www.annytab.com/simulated-annealing-search-algorithm-in-python/ | 0.724939 |
1 Groups and Homomorphisms
1.3 Cyclic Groups
A cyclic group is a group of the form {e, a, a^2, ..., a^(n-1)}, where a^n = e. For example, the group of all rotations of a triangle can be represented as {e, r, r^2} with r^3 = e, where r = rotation by 120°.
Definition (Cyclic Group C_n): A group G is cyclic if every el... | CC-MAIN-2023-06/segments/1674764501555.34/warc/CC-MAIN-20230209081052-20230209111052-00498.warc.gz | srcf.net | en | 0.87993 | 2023-02-09T09:51:20 | https://dec41.user.srcf.net/h/IA_M/groups/1_3 | 0.997593 |
In the context of Lie groups, a left-invariant metric can be defined using a scalar product on the Lie algebra. Given a Lie group G and a scalar product on its Lie algebra , a left-invariant metric on G can be defined using left translations. For a path in G, the tangent vector can be mapped to using left translations.... | CC-MAIN-2024-38/segments/1725700651318.34/warc/CC-MAIN-20240910192923-20240910222923-00313.warc.gz | arkadiusz-jadczyk.eu | en | 0.897001 | 2024-09-10T19:44:14 | https://arkadiusz-jadczyk.eu/blog/category/eulers-equations/ | 0.998226 |
In Newtonian mechanics, linear momentum, translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. The momentum of an object is defined as the product of its mass (m) and velocity (v): p = mv.
The unit of momentum i... | CC-MAIN-2022-21/segments/1652662531352.50/warc/CC-MAIN-20220520030533-20220520060533-00145.warc.gz | knowpia.com | en | 0.828477 | 2022-05-20T04:09:44 | https://www.knowpia.com/knowpedia/Momentum | 0.922823 |
Pierre de Fermat's method of infinite descent is a key concept in Number Theory, beautifully illustrated by the proofs of two propositions. The first proposition states that there are no integer solutions of x^4 + y^4 = z^2. To prove this, suppose there are integers x, y, z such that x^4 + y^4 = z^2. This can be rewrit... | CC-MAIN-2017-34/segments/1502886109803.8/warc/CC-MAIN-20170822011838-20170822031838-00282.warc.gz | mathpages.com | en | 0.944954 | 2017-08-22T01:28:43 | http://www.mathpages.com/home/kmath288.htm | 0.997608 |
When dealing with a large quantity of data, a frequency table is often used. This table enables us to calculate the mean, mode, median, and range, albeit with a slightly different process.
**Example**
Consider a class of 30 members, where the frequency table shows the number of pets each member has, with no one havi... | CC-MAIN-2024-33/segments/1722640389685.8/warc/CC-MAIN-20240804041019-20240804071019-00488.warc.gz | elevise.co.uk | en | 0.913256 | 2024-08-04T06:13:59 | https://www.elevise.co.uk/g-a-m-h-63-i.html | 0.996968 |
# Freely Falling Objects – Problems and Solutions
## Solved Problems in Linear Motion – Freely Falling Objects
### Problem 1: Object Dropped from a Cliff
An object is dropped from the top of a cliff and hits the ground after 3 seconds. Determine its velocity just before hitting the ground, given the acceleration of ... | CC-MAIN-2019-13/segments/1552912203755.18/warc/CC-MAIN-20190325051359-20190325073359-00430.warc.gz | gurumuda.net | en | 0.801568 | 2019-03-25T05:20:34 | https://physics.gurumuda.net/freely-falling-objects-problems-and-solutions.htm | 0.928857 |
Candela/Square Meter (cd/m2) is a unit of measurement for luminance, representing the amount of light reflected from a surface area of one square meter when a light source emits a light with luminous intensity of one candela on that surface area. One Candela/Square Meter is equivalent to 1000 Millinits (mnt), a depreca... | CC-MAIN-2024-38/segments/1725700651601.85/warc/CC-MAIN-20240914225323-20240915015323-00224.warc.gz | kodytools.com | en | 0.695058 | 2024-09-15T00:11:47 | https://www.kodytools.com/units/luminance/from/cdpm2/to/millinit | 0.825425 |
Next to **E = mc**^{²}, **F = ma** is the most famous equation in physics, representing Isaac Newton's second law of motion. This law, along with two others, forms the foundation of **classical mechanics**, which concerns the motion of bodies related to the forces acting on them. The three laws of motion are:
1. Every... | CC-MAIN-2024-46/segments/1730477027870.7/warc/CC-MAIN-20241105021014-20241105051014-00661.warc.gz | howstuffworks.com | en | 0.948469 | 2024-11-05T04:22:32 | https://science.howstuffworks.com/innovation/scientific-experiments/newton-law-of-motion.htm | 0.706584 |
Determine all integral solutions of the given equation.
The solution involves two cases: either $x = y$ or $x \neq y$. If $x = y$, then $x = y = 0$. Symmetry applies for $x = -y$ as well. If $x \neq y$, then $x^2 - xy + y^2 = 0$.
Now, analyzing $x^2 - xy + y^2 = 0$, we consider two subcases:
- When $x = 0$, since a... | CC-MAIN-2020-50/segments/1606141727627.70/warc/CC-MAIN-20201203094119-20201203124119-00669.warc.gz | artofproblemsolving.com | en | 0.765923 | 2020-12-03T10:53:30 | https://artofproblemsolving.com/wiki/index.php/1976_USAMO_Problems/Problem_3 | 0.998742 |
ECMA06 Tutorial #4 Answer Key
Given parameters: r = 0.05, E = 0.85 US$ per C$.
I = 50 – 5(0.05 – 0.05) = 50
X = 220 – 3(0.85 – 0.85) = 220
IM = (3/11)Y + 2.5(0.85 – 0.85) = (3/11)Y
**Question 1**
Disposable income, DI: DI = Y – T + TR
DI = Y – (44 + 0.3Y) + (110 – 0.1Y) = 0.6Y + 66
C = 10 + (10/11)(0.6Y + 66) = 70 ... | CC-MAIN-2018-17/segments/1524125937193.1/warc/CC-MAIN-20180420081400-20180420101400-00569.warc.gz | oneclass.com | en | 0.812701 | 2018-04-20T09:45:17 | https://oneclass.com/class-notes/ca/utsc/econ-mgmt-std/mgea06h3/174144-ecma06tutorial4solutiondoc.en.html | 0.701007 |
These exercises and activities are designed for independent practice of number properties, suitable for homework or follow-up teaching sessions. They extend the concept of compatible numbers from 10 to 20, assuming students already have a foundation in facts to 10.
### Prior Knowledge and Background
These activities ... | CC-MAIN-2020-16/segments/1585370492125.18/warc/CC-MAIN-20200328164156-20200328194156-00089.warc.gz | nzmaths.co.nz | en | 0.907625 | 2020-03-28T18:29:26 | https://nzmaths.co.nz/resource/compatible-numbers-20 | 0.743554 |
Four vehicles are traveling at constant speeds between sections X and Y, which are 280 meters apart. At a given instant, an observer at point X notes the vehicles passing point X over a 15-second period. The vehicles' speeds are 88, 80, 90, and 72 km/hr. To calculate key traffic parameters, we need to determine the flo... | CC-MAIN-2017-30/segments/1500549424575.75/warc/CC-MAIN-20170723162614-20170723182614-00199.warc.gz | wikibooks.org | en | 0.683464 | 2017-07-23T17:00:14 | https://en.wikibooks.org/wiki/Fundamentals_of_Transportation/Traffic_Flow/Solution | 0.559883 |
**Calculus I Examination**
**Instructions:** Answer question ONE and any other Two Questions.
**Question One [30 marks]**
a) Evaluate lim (4 - π₯²) / (3 - √π₯² + 5) as π₯ → 2. [4 marks]
b) Find the domain of the function π(π₯) = √(6 + π₯ - π₯²). [4 marks]
c) Find the derivative of π(π₯) = 1 / √(1 - π₯) from first ... | CC-MAIN-2024-46/segments/1730477027906.34/warc/CC-MAIN-20241106003436-20241106033436-00569.warc.gz | studylib.net | en | 0.700818 | 2024-11-06T01:16:38 | https://studylib.net/doc/27045574/sma-1117-calculus-i-mat-exam-final | 0.989575 |
# Introducing Maths in the Classroom
At the age of four or five, parents send their children to school, aiming to modify their personality for a better future and increase their knowledge. Teachers act as caretakers, creating a comfortable environment for children to learn and grow.
## Creating a Good Classroom Envi... | CC-MAIN-2022-05/segments/1642320305420.54/warc/CC-MAIN-20220128043801-20220128073801-00615.warc.gz | ipracticemath.com | en | 0.925939 | 2022-01-28T05:28:45 | https://blog.ipracticemath.com/2014/02/19/lets-introduce-maths-in-the-classroom/ | 0.795643 |
The distributive property is given by: a(b+c) = ab + ac. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multipl... | CC-MAIN-2024-22/segments/1715971058611.55/warc/CC-MAIN-20240523050122-20240523080122-00706.warc.gz | ronaldocoisanossa.com.br | en | 0.842264 | 2024-05-23T05:07:57 | http://www.ronaldocoisanossa.com.br/gelato-stabilizer-ifidse/e50d6d-distributive-property-of-whole-numbers | 0.999892 |
To solve the given radical equation, we start with the equation:
(x + 4)^(1/2) + 5x(x + 4)^(3/2) = 0
We can simplify this by factoring out (x + 4)^(1/2), giving us:
(x + 4)^(1/2)(1 + 5x(x + 4)) = 0
Expanding the equation inside the parentheses, we get:
(x + 4)^(1/2)(1 + 5x^2 + 20x) = 0
This simplifies to:
(x + 4... | CC-MAIN-2018-22/segments/1526794864872.17/warc/CC-MAIN-20180522190147-20180522210147-00586.warc.gz | mathhelpforum.com | en | 0.850288 | 2018-05-22T20:46:53 | http://mathhelpforum.com/pre-calculus/108062-solving-radical-equations-print.html | 0.998158 |
# Cube Folding
## Objective
The objective is to experiment with folding six connected squares into a cube and determine which patterns will fold into a cube and which will not.
## Difficulty
This experiment is considered easy, with no complex concepts involved.
## Concept
A cube is made up of six squares. When unfol... | CC-MAIN-2018-05/segments/1516084889917.49/warc/CC-MAIN-20180121021136-20180121041136-00182.warc.gz | iit.edu | en | 0.957152 | 2018-01-21T02:26:22 | http://sciencefair.math.iit.edu/projects/cubefolding/ | 0.605287 |
How to Play Sudoku
A standard Sudoku puzzle consists of a 9x9 grid, subdivided into nine 3x3 boxes by bold lines. In other sizes, such as 6x6 and 12x12, the grid is divided into rectangular regions. The objective is to fill the grid with numbers 1 to 9, ensuring each number occurs once in each row, column, and 3x3 box.... | CC-MAIN-2024-26/segments/1718198861916.26/warc/CC-MAIN-20240620074431-20240620104431-00363.warc.gz | puzzlemix.com | en | 0.939009 | 2024-06-20T09:35:44 | https://www.puzzlemix.com/rules-sudoku.php?briefheader=1&JStoFront=1 | 0.626816 |
The factors of 40 are numbers that, when multiplied in pairs, provide the product as 40. There are 8 components of 40, which are 1, 2, 4, 5, 8, 10, 20, and also 40. The prime factors of 40 are 2 and 5.
**Factors of 40:** 1, 2, 4, 5, 8, 10, 20, and 40
**Negative Factors of 40:** -1, -2, -4, -5, -8, -10, -20, and -40
*... | CC-MAIN-2021-39/segments/1631780060882.17/warc/CC-MAIN-20210928184203-20210928214203-00484.warc.gz | brianowens.tv | en | 0.930049 | 2021-09-28T19:05:24 | https://brianowens.tv/what-is-the-prime-factorization-of-40/ | 0.996333 |
Reducing Fractions
To reduce a fraction means finding an equivalent fraction with no common factors in the numerator and denominator. This is achieved by dividing both the numerator and denominator by their Greatest Common Factor (GCF).
The numerator represents the number of parts of a whole we have, while the denomin... | CC-MAIN-2023-40/segments/1695233510100.47/warc/CC-MAIN-20230925215547-20230926005547-00227.warc.gz | slideplayer.com | en | 0.866862 | 2023-09-25T22:49:01 | http://slideplayer.com/slide/6162800/ | 0.999941 |
The flexural strength of concrete describes its ability to resist flexural loads. It is measured by loading 150 x 150-mm (or (100 x 100-mm) concrete beams with a span length at least three times the depth. The flexural strength is expressed as Modulus of Rupture (MR) in psi (MPa) and is determined by standard test meth... | CC-MAIN-2022-21/segments/1652662520936.24/warc/CC-MAIN-20220517225809-20220518015809-00185.warc.gz | kupikniga.mk | en | 0.91021 | 2022-05-18T00:33:57 | https://test.kupikniga.mk/raj-arjun-tjnfa/6e2df9-the-hollybush%2C-witney | 0.798823 |
200 points are equally spaced on the circumference of a circle. To form a square, 4 points are required as vertices. Considering rotation, for each initial square, 49 more can be formed before the pattern repeats, resulting in 50 squares. Alternatively, for any given point, there is exactly one square with that point a... | CC-MAIN-2018-22/segments/1526794872766.96/warc/CC-MAIN-20180528091637-20180528111637-00497.warc.gz | 0calc.com | en | 0.776922 | 2018-05-28T09:28:05 | https://web2.0calc.com/questions/help-fast_12 | 0.988115 |
Integers are whole numbers that can be positive or negative, and 0 is considered an integer, but it is neither positive nor negative. Integers do not include fractions.
Consecutive integers are listed in increasing size without any integers missing in between, following the formula: n, n+1, n+2, n+3, etc. Examples of ... | CC-MAIN-2018-13/segments/1521257645513.14/warc/CC-MAIN-20180318032649-20180318052649-00244.warc.gz | freezingblue.com | en | 0.844775 | 2018-03-18T04:29:19 | https://www.freezingblue.com/flashcards/print_preview.cgi?cardsetID=6564 | 0.998755 |
In today's session, we will discuss factor polynomials. A polynomial is an expression with a combination of different terms. If a polynomial has only one term, it is a linear polynomial. An expression with two terms is a binomial, and an expression with three terms is a trinomial.
We can factor polynomials and write t... | CC-MAIN-2018-09/segments/1518891815951.96/warc/CC-MAIN-20180224211727-20180224231727-00134.warc.gz | blogspot.com | en | 0.908262 | 2018-02-24T21:27:17 | http://polynomial-trimonial-binomial.blogspot.com/2012/08/factor-polynomials.html | 0.999984 |
Advanced Speed Distance and Time short tricks for competitive exams are discussed here. Quantitative aptitude questions related to speed, distance, and time are frequently asked in various competitive exams and job interviews. To solve these problems, it is essential to understand the basic formulae and concepts relate... | CC-MAIN-2024-26/segments/1718198861594.22/warc/CC-MAIN-20240615124455-20240615154455-00728.warc.gz | logicxonomy.com | en | 0.840001 | 2024-06-15T13:04:02 | https://logicxonomy.com/speed-distance-and-time-short-tricks/ | 0.97035 |
**Mathematical Challenges**
1. **Open Box**: Determine the number of cubes used to make an open box. If you have 112 cubes, what size of open box can you make?
2. **Triomino Pieces**: Fit triomino pieces into two grids. Analyze the possible arrangements and determine the optimal strategy.
3. **Counter Removal**: Rem... | CC-MAIN-2020-16/segments/1585370499280.44/warc/CC-MAIN-20200331003537-20200331033537-00557.warc.gz | maths.org | en | 0.919154 | 2020-03-31T02:31:03 | https://nrich.maths.org/public/topic.php?code=-68&cl=1&cldcmpid=24 | 0.986019 |
The F-distribution is used to compare the variances of two populations, particularly in analysis of variance testing (ANOVA) and regression analysis.
**Definition 1**: The F-distribution with *n₁* and *n₂* degrees of freedom is defined as the distribution of the ratio of two independent chi-square variables, each divi... | CC-MAIN-2017-22/segments/1495463609610.87/warc/CC-MAIN-20170528082102-20170528102102-00338.warc.gz | real-statistics.com | en | 0.766464 | 2017-05-28T08:38:00 | http://www.real-statistics.com/chi-square-and-f-distributions/f-distribution/ | 0.998397 |
# 11.2: Radical Expressions
## Learning Objectives
At the end of this lesson, students will be able to:
- Use the product and quotient properties of radicals.
- Rationalize the denominator.
- Add and subtract radical expressions.
- Multiply radical expressions.
- Solve real-world problems using square root functions... | CC-MAIN-2017-17/segments/1492917121665.69/warc/CC-MAIN-20170423031201-00019-ip-10-145-167-34.ec2.internal.warc.gz | ck12.org | en | 0.752525 | 2017-04-26T22:31:31 | http://www.ck12.org/tebook/Algebra-I-Teacher's-Edition/r1/section/11.2/ | 0.999949 |
Integer Digit Count Calculator
Calculating the number of digits in an integer is a fundamental operation in mathematics and computer science, involving determining the number of digits in a given integer. This operation is widely used in digital computing, data processing, and education to analyze or manipulate numeri... | CC-MAIN-2024-38/segments/1725700651722.42/warc/CC-MAIN-20240917004428-20240917034428-00184.warc.gz | calculatorultra.com | en | 0.838132 | 2024-09-17T01:46:24 | https://www.calculatorultra.com/en/tool/integer-digit-count-calculator.html | 0.999452 |
Geometry Options
NETEXG processes polygons (boundaries), reducing all other Gerber geometry to these entities during the boolean process. For islands surrounded by metal areas, several options are available, depending on the requirements of the next software. Consider a simple ground plane with a rectangular region con... | CC-MAIN-2024-30/segments/1720763517541.97/warc/CC-MAIN-20240720205244-20240720235244-00492.warc.gz | artwork.com | en | 0.930653 | 2024-07-20T23:12:41 | http://artwork.com/gerber/netex-g/geometry_options.htm | 0.547168 |
## Types of Variable: Endogenous Variable and Exogenous Variable
Endogenous variables are used in econometrics and linear regression, similar to dependent variables. They have values determined by other variables in the system, called exogenous variables. An endogenous variable is defined as a variable whose value is ... | CC-MAIN-2018-09/segments/1518891813622.87/warc/CC-MAIN-20180221123439-20180221143439-00499.warc.gz | statisticshowto.com | en | 0.903167 | 2018-02-21T13:36:46 | http://www.statisticshowto.com/endogenous-variable/ | 0.626494 |
Fractals are often associated with fractal landscapes, which can generate realistic images of mountain ranges, planets, and lakes. The process of creating a fractal mountain is surprisingly simple, based on standard fractal self-symmetry with a dash of randomness. The basic idea is to start with a triangle and subdivid... | CC-MAIN-2023-50/segments/1700679100674.56/warc/CC-MAIN-20231207121942-20231207151942-00205.warc.gz | goodmath.org | en | 0.946515 | 2023-12-07T14:16:58 | http://www.goodmath.org/blog/2007/09/06/fractal-mountains/ | 0.692185 |
An algorithm is an **ordered and finite set of simple operations** used to find the solution to a problem. The term originates from the classical Arabic *ḥisābu lḡubār*, meaning 'calculation using Arabic numerals'.
Algorithms enable the execution of an action or problem-solving through a series of **defined, ordered, ... | CC-MAIN-2024-18/segments/1712296817474.31/warc/CC-MAIN-20240420025340-20240420055340-00747.warc.gz | aviationopedia.com | en | 0.919478 | 2024-04-20T05:11:34 | https://www.aviationopedia.com/algorithm-explanations/ | 0.949167 |
### Definitions
**Voltage drop** is the amount of voltage loss in a circuit due to conductor resistance. **Conductor resistance** is determined by the conductor material, size, and ambient temperature. Voltage drop depends on the total length of conductors carrying electrical current.
In DC systems, the voltage drop ... | CC-MAIN-2023-40/segments/1695233510454.60/warc/CC-MAIN-20230928194838-20230928224838-00388.warc.gz | psu.edu | en | 0.856599 | 2023-09-28T20:32:07 | https://www.e-education.psu.edu/ae868/node/967 | 0.842749 |
Considering the equation cos(z) = 4, where z is a complex variable, the goal is to solve for z. The solution involves using the definition of the cosine of a complex number and then applying the quadratic equation to solve for e^(iz).
To start, recall that cos(z) = (e^(iz) + e^(-iz))/2. Given cos(z) = 4, we can set u... | CC-MAIN-2017-04/segments/1484560281202.94/warc/CC-MAIN-20170116095121-00196-ip-10-171-10-70.ec2.internal.warc.gz | openstudy.com | en | 0.867011 | 2017-01-21T20:07:45 | http://openstudy.com/updates/5061f4c6e4b0583d5cd2e44d | 0.997196 |
An ultrafilter on a set $S$ is a collection $F$ of subsets of $S$ satisfying the axiom that for any subset $A$ of $S$, either $A$ or its complement belongs to $F$. This definition is equivalent to saying that a filter $F$ on $S$ is an ultrafilter if it is maximal among the proper filters.
In a distributive lattice, e... | CC-MAIN-2023-14/segments/1679296949701.0/warc/CC-MAIN-20230401032604-20230401062604-00734.warc.gz | ncatlab.org | en | 0.825016 | 2023-04-01T04:26:04 | https://ncatlab.org/nlab/show/ultrafilter | 0.999577 |
In this course, we will explore the world of algorithms, covering their definition, representation, and efficiency comparison. The course delves into various types of algorithms, including Brute force, Greedy, and Binary search algorithms.
#### What you will learn?
- The definition of algorithms
- Algorithm represent... | CC-MAIN-2024-46/segments/1730477027772.24/warc/CC-MAIN-20241103053019-20241103083019-00053.warc.gz | eurekatech.org | en | 0.786956 | 2024-11-03T06:57:27 | https://eurekatech.org/courses/algorithms-101/ | 0.932046 |
Find the limits as $ x \to \infty $ and as $ x \to -\infty $ for the function $ y = x^4 - x^6 $. Use this information, together with intercepts, to give a rough sketch of the graph.
To find the limits, we first factor out $x^4$ from the function: $y = x^4(1 - x^2)$. This can be further simplified using the difference ... | CC-MAIN-2022-05/segments/1642320303779.65/warc/CC-MAIN-20220122073422-20220122103422-00386.warc.gz | numerade.com | en | 0.799413 | 2022-01-22T09:11:41 | https://www.numerade.com/questions/find-the-limits-as-x-to-infty-and-as-x-to-infty-use-this-information-together-with-intercepts-to-g-2/ | 0.997923 |
The chi-square statistic measures the difference between actual and expected counts in statistical experiments, ranging from two-way tables to multinomial experiments. Actual counts come from observations, while expected counts are typically determined from probabilistic or mathematical models.
### The Formula for Chi... | CC-MAIN-2018-22/segments/1526794866107.79/warc/CC-MAIN-20180524073324-20180524093324-00569.warc.gz | thoughtco.com | en | 0.800987 | 2018-05-24T08:17:38 | https://www.thoughtco.com/chi-square-statistic-formula-and-usage-3126280 | 0.995116 |
Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.
A number is both a multiple of 5 and a multiple of 6. What could this number be? To find it, we need to identify the least common multiple (LCM) of 5 and... | CC-MAIN-2019-09/segments/1550247490806.45/warc/CC-MAIN-20190219162843-20190219184843-00020.warc.gz | maths.org | en | 0.897033 | 2019-02-19T16:34:09 | https://nrich.maths.org/public/leg.php?code=12&cl=3&cldcmpid=5339 | 0.998733 |
# Mean-Variance Ceiling
While analyzing count data from a small RNA-Seq experiment in *Arabidopsis thaliana*, a notable pattern emerged in the mean-variance relationship for fragment counts. Despite the small dataset, with only 3 replicates per condition and each sample from a different batch, a clear straight line wa... | CC-MAIN-2023-23/segments/1685224652184.68/warc/CC-MAIN-20230605221713-20230606011713-00765.warc.gz | ro-che.info | en | 0.919464 | 2023-06-05T23:50:05 | https://ro-che.info/articles/2016-10-20-mean-variance-ceiling | 0.991314 |
## What is a Proportion?
A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls, you could write the ratio as 1:3 (for every one boy there are 3 girls) or 1/4 are boys and 3/4 are girls.
## How to Write a Ratio
To write a ratio, determine whether it is p... | CC-MAIN-2023-14/segments/1679296950363.89/warc/CC-MAIN-20230401221921-20230402011921-00544.warc.gz | tissfla.com | en | 0.913999 | 2023-04-01T22:25:33 | https://tissfla.com/articles/are-16-24-20-30-are-in-proportion | 0.998732 |
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