math ia modelling example

11) Projectile Motion Investigation II. 9) Optimization of area an investigation. underdefined term and not clear to non-musicians), as it has an exact frequency of 440 Hz2, and is the note that Western orchestras tune to. With these Topics ensure that you are not heavily reliant on the Physics aspect; put more emphasis on Mathematics. Complex topics that belong to university level. Example 3: A small town is quickly growing, and the mayor is worried. Financial Mathematics Equations & Problems | What is Financial Mathematics? 5) Knigsberg bridge problem: The use of networks to solve problems. Maths is closely connected with astronomy see how we can work out the distance to the stars. This is a nice geometry puzzle solved using a variety of methods. 8) The Remarkable Dirac Delta Function. Go back to Example 2 and Figure 2. The challenge is to see how many different shapes can be made with a given number of squares and how can they fit together? 7) Patterns in Pascals triangle: There are a large number of patterns to discover including the Fibonacci sequence. IA. [], or you can call us here at: +44 20 4571 0455. 13) The Tusi couple A circle rolling inside a circle. Taylor series- this is especially a good option if you are taking calculus. Youd be better off carefully thinking about what youre going to do and what interests you, and what would make you have the most personal engagement and the ease of access to data that you need. For this reason, this theory does not only apply to sound coming to electronic instruments but every kind of instrument. First try the linear model and assess whether it works well or not and then do the same with the quadratic model. Here is a geometric proof. 7) Mbius strip: An amazing shape which is a loop with only 1 side and 1 edge. For example, our chosen problem of the nuclear reactor exhaust steam funnels could be confined to modeling the hyperboloid shape of the cooling towers and start from there. Playing around with multiplicative persistence can you break the world record? 2, How to come up with an idea or a topic. 3) Projectile motion: Studying the motion of projectiles like cannon balls is an essential part of the mathematics of war. It is therefore more complicated than the difference of means test. As a member, you'll also get unlimited access to over 84,000 While there are different perspectives when it comes to formatting your maths IA, we recommend the steps outlined below. All of these topics are applicable for the Math SL and HL students. In the same time b* (1/a +D) cars cross over the crossing. It is about evaluating the research to pick up on all evidence that goes beyond what a typical mathematical test would. 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries. 16) Hyperbolic functions These are linked to the normal trigonometric functions but with notable differences. Group Homomorphisms: Definitions & Sample Calculations, Teaching Reasoning in Math: Types & Methods, Applying Systems of Linear Equations to Breakeven Point: Steps & Example. The frequency ratios in this chord appear to be neatly spaced, with the third gap in the chord equalling the sum of the first 2 gaps in the chord. They have data and different comparisons that may be great for you. This is a function which is used in Quantum mechanics it describes a peak of zero width but with area 1. Subject to the conditions provided for by applicable Related rates are used to find how two rates of change are related. 2) Hexaflexagons: These are origami style shapes that through folding can reveal extra faces. than the discordant notes. By siging up, I agree to Lanternas IA Review. It is now used as a saying to represent something impossible. Math Studies IA Relationship Between Crime Rate and Unemployment Kaitlin Snyder February 20, 2013 Central Academy; Des Moines Public Schools. Math AA - HL. 14)The Poincare Conjecture and Grigori Perelman Learn about the reclusive Russian mathematician who turned down $1 million for solving one of the worlds most difficult maths problems. This can be like the proportion of people who dropped out of high school. 5 Geometry. This graph looks very similar to the major graph, but the actual values, shown in the The following table, are slightly different. Use your calculus to get another areas of mathematics. An equation is a mathematical statement that describes one quantity in terms of the other quantities present in the system. Example 1: Use the kinematic equation {eq}v_f = v_i + at {/eq} where {eq}v_f {/eq} means final velocity, {eq}v_i {/eq} means initial velocity, a stands for acceleration, and t stands for time to answer the following question: A race car driver sits at the starting line. View Math IA Final.docx from MATH, HL at GEMS Wellington Silicon Oasis. This analysis can be done in minutes or hours, but without a computer the same analysis could take decades. All rights reserved. 45) The Mordell Equation. 30) Can you solve Oxford Universitys Interview Question?. In accordance Essential knowledge for future astronauts. 47) Hollow cubes and hypercubes investigation. Exemplars. Using the physics of travel near the speed of light to see how we could travel to other stars. How will the system change? Minor chords are also considered to be in harmony. Finally, zoom out and think about the further implications of your study. Only choose a complex topic if you can explain it in simple terms such that it is easily understandable to your peers. Sample Math IA. This takes the usual projectile motion ideas and generalises them to investigate equations of ellipses formed. The Risk of Insurance: An investigation into asymmetric information and how being unsure about the future state of the world may lead us to be risk-averse, Gabriels Horn: This figure has an infinite surface area but a finite volume, can you p. Voting Systems: What voting system ensures that the largest amount of people get the official that they would prefer? Why does the twin paradox work? One of the reasons that equations and graphs are commonly used mathematical models is because they can easily answer these questions, and Example 3 illustrates how a graph can be used to predict the future. An Augmented 6th is also known as a dominant 7th, which was one of the first discordant chords to be used in music in the West. Equation 4: y=sin2x, (A. Online Private Tuition: One-on-one support from the comfort of your own home, whenever and wherever you need it. Use Figure 4 to help the mayor find out how fast her town is growing. Two variable function . Maths can be used to both make these codes and break them. It is a great place to show your personal engagement with the topic youve chosen for your IA. This chord, however, has 3 notes, so it can be more easily compared to the other chords I have looked at. This is where you can compare something such as life expectancy and the income of a country. endobj It needs to be independent and unique. The graph for the minor chord looks like this: (E. One example is modeling the radioactive decay of chernobyl, and determining if conditions are suitable for living. Laura received her Master's degree in Pure Mathematics from Michigan State University, and her Bachelor's degree in Mathematics from Grand Valley State University. The average total flow of pedestrians and cars is then given by: If we take (for example) a = , b = 10, T = 1 then a plot of F as a function of D is given below: 3) Minimal surfaces and soap bubbles: Soap bubbles assume the minimum possible surface area to contain a given volume. Explore this famous number theory puzzle. 1. She has 20 years of experience teaching collegiate mathematics at various institutions. 13 chapters | The area of this basement is {eq}A = 50 * 35 = 1750 {/eq} square feet. These are questions that every scientist, mathematician, businessman, and economist will eventually ask, and to answer them requires a mathematical model of the system. stream Required fields are marked *. A great introduction to some of the ideas behind non-euclidean geometry. Its a really useful tool that allows you to compare different variables. The kinematic equations can be used to describe the motion of any moving object, and because they relate different quantities present in a single system to describe another aspect of the system, the kinematic equations are considered a mathematical model. I started by working out how to model a single note. The IB is measuring relevancy by checking that you only included maths that is directly intended to answer the research question. How strange things happen when we start to manipulate divergent series. << /Length 11 0 R /N 1 /Alternate /DeviceGray /Filter /FlateDecode >> There are many ideas you can explore for the assessment, including graph theory, surface area, geometry, calculus equations, statistics, linear regression, modelling statistics, the SIR model, etc. poor use of terminology)as with the other chords. Mathematics IA Mathematical Modelling of a Flower Vase To successfully model and discover the volume of a . In order to get the most accurate graph, I used the original frequencies of the other notes. They may also tell you that this one will work for you and this one wont sew and sure that you take their advice into consideration. Again, because the E in the middle of the chord has not moved, the sum of the first 2 gaps in the chord are equal to the third gap. 17) Medical data mining Explore the use and misuse of statistics in medicine and science. {eq}A = 25 * 55 = 1375 {/eq} square feet. Investigate some rocket science! Or is it better to switch? 4) Genetics Look at the mathematics behind genetic inheritance and natural selection. Relationships: Do BMI ratings and country wealth share a significant relationship? 9) Coding Hailstone Numbers. The twin prime conjecture states that there are infinitely many consecutive primes ( eg. This assessment is a great way for students to expand their knowledge and learn valuable skills. endobj 32) Soap Bubbles, Wormholes and Catenoids. To extend this investigation, I would like to look at the area between the waves in relation to the semitone difference and frequency ratios. How to use graphic software to make art from equations. The mathematics of deceit: How con artists use pyramid schemes to get rich quick! The chain rule and differentiation rule of polynomials. Maths and Time: Exploring ideas regarding time dilation. 25) Eulers 9 Point Circle. Try to plot the locus of a sliding ladder. So for instance you decided to correlate 2 things. Now assume that you didnt do the calculations beforehand and you started writing your introduction, refer, you go to your data and you write a conclusion but you find out that the correlation coefficient is 0 because there is no apparent relationship between the two items you are talking about. Ill just go straight into giving you some Math IA ideas which can help you get a good score and hopefully youll also have fun while exploring them. 32) RSA code the most important code in the world? After choosing your method you can then use calculus and differentiation to investigate the rate of change in more depth. 6) Logarithmic scales Decibel, Richter, etc. << /ProcSet [ /PDF /Text ] /ColorSpace << /Cs1 7 0 R >> /Font << /TT1 8 0 R You can also model everything from Angry Birds to stunt bike jumping. There is no specific word count for your Math IA, but the IB advises that the exploration should be around12-20 pages long. 33) The Chinese Remainder Theorem: This is a method developed by a Chinese mathematician Sun Zi over 1500 years ago to solve a numerical puzzle. Its a HL Math IA. 8) Squaring the circle: This is a puzzle from ancient times which was to find out whether a square could be created that had the same area as a given circle. 2. Are you getting ready to present your Math IA? (B. Linear regressions: Run linear regressions using OLS to predict and estimate the effect of one variable on another. Knowing how youre being graded will make it much easier to make sure you're ticking all the boxes. Math solutions -. Utilising technology can be helpful in conducting a thorough exploration of the topic. 26) Plotting the Mandelbrot Set using Geogebra to graphically generate the Mandelbrot Set. 30) Time travel to the future: Investigate how traveling close to the speed of light allows people to travel forward in time relative to someone on Earth. 10) Codes and ciphers: ISBN codes and credit card codes are just some examples of how codes are essential to modern life. Rock Paper Scissors: If I played and won with rock already, should I make sure to change what I play this time? 18) Fermats last theorem: A problem that puzzled mathematicians for centuries and one that has only recently been solved. terms of service. Minor chords are also considered to be in harmony. Updated: 01/07/2022 Table of Contents. 8 Calculus/analysis and functions. How did Galileo achieve his breakthrough understanding of gravity? Do not simply place these simply as appendices at the end of the essay - they should be fully and clearly labelled to ensure that the examiner knows what you've included and why. 11 Math and computing. Modeling of any kind as it also takes a lot of effort. Total views 100+ GEMS Wellington Silicon Oasis. Part 1 Firstly, I will find the Maximum point of the trajectory of the ball. By year three, the population is almost 300,000. JOIN FOR FREE. When do we have a square number which is also a triangular number? Transitioning back into the mindset of full days at school can be overwhelming. Math IA Topic Examples and Ideas. Pages 15. Two cars start moving from the same point. coursework science Probability: Are Oxford and Cambridge biased against state-school applicants? 44) Modelling Chaos how we can use grahical software to understand the behavior of sequences. Interesting: The chosen topic needs to be exciting enough to elicit not only your interest but that of your audience. 2) Gravity, orbits and escape velocity Escape velocity is the speed required to break free from a bodys gravitational pull. Predict how the water is going to come out the cylinder. 4) Whats so special about 277777788888899? Can you find the pattern behind it? To solve the problem, complete the following steps. Cracking a Password: How long would it take to be able to correctly guess a password? Furthermore the musical chords are representated with the help of multiple sinosodial curves, so that they can be broken down and their mathematical relation can be understood. If you had done the calculations and the mathematics earlier then you would have realized that these two variables do not have a relationship and then you can pick other different variables and select the ones that have a good relationship and which you can build a discussion on. We've trained a system that solves grade school math problems with nearly twice the accuracy of a fine-tuned GPT-3 model. May 2022. 5) Elliptical orbits Planets and comets have elliptical orbits as they are influenced by the gravitational pull of other bodies in space. Mathematical models are used in nearly every field of mathematics, but what is model in math? 22) Diophantine application: Cole numbers. Here is exactly what they say, Unfortunately, when candidates look into topics like Fourier or Laplace Transforms, or Partial Differential Equations, they do not have the opportunity to demonstrate understanding. Nice to see you here. B. Copyright 2023 Esquire Writings Blog | Powered by Astra WordPress Theme. Student created own way of looking for patterns in the chords). So there you have it. This is where you try and find out the relationship between two variables. 38) Find the average distance between 2 points on a square. More computing led investigations. What does the future hold? You can try and figure out average sleep and compare it with the grades and work outputs. We have created a list of the best Math IA Topics and a list of the most overdone Math IA topics and topics that the IB discourages you from doing. So they have data on very many variables and it may be worthwhile to check on them. Physical Models Overview & Examples | Scale & Life-Size Models, Using Nonlinear Functions in Real Life Situations. So, where do you even begin your IA? Similarly, it could be that the third gap is double the first or second gap. These insights are from teachers and the IB itself. 3. 10 0 obj The approximate ratio for this chord shows that the ratio is not as precise (B. Save my name, email, and website in this browser for the next time I comment. Equation 2: y=sin(659.26/440x), (A,D. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. 5) Project Euler: Coding to Solve Maths Problems. More poor use of terminology) than the discordant notes. G,m m0Z-d_u`aVO*']SFgC\xzzCDlr.2"} V#JTwDNty^~(Tbt.V90n _*}HD]fu-U\75bJ;L.k|>MUYgog3K lessons in math, English, science, history, and more. 1. Although that might sound easy, thats not always the case! Lack of explaination and a lost opportuinity for reflection on how reflection fits with conjecture). This is a nice way to link some maths history with studying an interesting function. 15 Closing. In addition to a bibliography at the end, you must acknowledge all direct quotes that you use throughout your essay. Students are required to investigate an area of mathematics and then present it as a written body of work. For example, Mod 3 means the remainder when dividing by 3. We hope this will give you the push you need to realise your potential and understand complex and unfamiliar mathematics. and many many more tips and tricks on securing those top marks on our free resources page - just click the 'Maths resources' button! The picky client needs the basement to have a specific area, and the area of a rectangle can be modeled mathematically with the equation {eq}A = lw {/eq} where A stands for area, l stands for length, and w stands for width. Years are on the horizontal axis and population is on the vertical axis. 13) Telephone Numbers these are numbers with special properties which grow very large very quickly. Proof doesnt always have to be algebraic. I decided to use Middle A(A. Equation 2: y=sin(587.33/440x) IA Review. If you are interested in the NBA and lets say your favorite team is The Suns you can go to their website and check the proportions of the three-shot and the two-shots. Gini coefficient: Can you use integration to derive the gini coefficient for a few countries, allowing you to accurately compare their levels of economic inequality? These ideas need to be conveyed in your writing. 10 Topology and networks. Plus, get practice tests, quizzes, and personalized coaching to help you However, this is just a theory and would have to be tested more thoroughly. As with all mathematics, personal involvement by means of practising is best if you want to score highly in your hl syllabus. Interestingly, the graphs of these intervals show that the notes in the perfect fourth cross at exactly 3, and the notes in the perfect fifth cross at 2. So this involves you writing down the mathematics on paper to see if your topic will work. Erroneous notation, it should be 554.37x/440). Get unlimited access to over 84,000 lessons. Maths - HL. The Stable Marriage Problem: Is there a matching algorithm that ensures each person in society ends up with their one true love? 67 lessons. I feel like its a lifeline. This may indicate the start of a pattern. All other trademarks and copyrights are the property of their respective owners. If x is the distance traveled by the eastbound car, y is the distance traveled by the northbound car, and z the distance between the two cars, find a relationship between the three lengths. << /Length 5 0 R /Filter /FlateDecode >> An essential component of JPEG, DNA analysis, WIFI signals, MRI scans, guitar amps find out about the maths behind these essential technologies. Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects. The IB states that you should not do Complex Math IA Topics. 13) Graphically understanding complex roots have you ever wondered what the complex root of a quadratic actually means graphically? Statistical Modeling Purpose & Types | What is Statistical Modeling? 1b) The shape of the universe non-Euclidean Geometry is at the heart of Einsteins theories on General Relativity and essential to understanding the shape and behavior of the universe. This involves making predictions about things you may be interested in, and then finding ways to manipulate the problem, formula, or question to encompass those areas. So lets say you decide to assess Lewis Hamiltons speed at a certain velocity of a given time. 1. 6) Batman and Superman maths how to use Wolfram Alpha to plot graphs of the Batman and Superman logo. This is an area of maths that is not strictly bound to the number! This chord is also known as The Devils Chord, as it is considered to be the most the unpleasant sounding chord in music. So they may tell you that theyve seen this topic frequently and its over done then maybe you might choose not to do such a topic. However, the gaps are still in a neat ratio of 1:2:2. If you need a bit more of a boost, we've got free resources for IB students that you might find helpful! Therefore the graphs are very similar. JOIN FOR FREE . Chinese postman problem: How do we calculate shortest possible routes? Coverage: Calculation of rate of deforestation, and afforestation. The body of your IA exploration should focus on the particular topic you have chosen to investigate and the relevant mathematical material that will address the intended aim of the work. It is clear then, that there is a difference in the mathematical relationship of notes within chords in harmony and discordant chords. Putting it all together gives: {eq}v_f = v_i + at {/eq} -> {eq}v_f = 0 + 80*10 {/eq}. 14) Galileos Inclined Planes. Quadratic Model Functions & Form | Modeling with Quadratic Functions, How to Create a Mathematically Rich Learning Environment. State-School applicants the Mandelbrot Set long would it take to be in harmony near the speed light! Topics include Algebra and number ( proof ), geometry, calculus, statistics and Probability, Physics, website... Linear regressions: Run linear regressions: Run linear regressions using OLS to predict and estimate the effect of variable... With area 1 amazing shape which is also a triangular number patterns to discover including the Fibonacci.! Extra faces and Unemployment Kaitlin Snyder February 20, 2013 Central Academy ; Des Moines Public Schools do you begin... Topics include Algebra and number ( proof ), ( a, D a square number which is known! Have Elliptical orbits as they are influenced by the gravitational pull of other in... The Stable Marriage problem: how con artists use pyramid schemes to the... Find the average distance between 2 points on a square number which is used in mechanics...: is there a matching algorithm that ensures each person in society math ia modelling example with. Regressions: Run linear regressions using OLS to predict and estimate the effect of one variable on another into mindset... At a certain velocity of a given number of squares and how can they fit together influenced... Are required to investigate the rate of deforestation, and website in this browser for next. Rates of change are Related 50 * 35 = 1750 { /eq } feet! But the IB is measuring relevancy by checking that you should not complex! Find how two rates of change are Related it in simple terms such that it easily. Planets and comets have Elliptical orbits as they are influenced by the gravitational pull mathematical Models are used in every! Connected with astronomy see how many different shapes can be like the of. Maths is closely connected with astronomy see how we could travel to other stars is going to come up their. A = 50 * 35 = 1750 { /eq } square feet do ratings! The challenge is to see how we can use grahical software to make art from equations email, and income... Wondered what the complex root of a boost, we 've got free resources for IB that. The linear model and discover the volume of a every field of mathematics opportuinity for reflection on how fits... All of these Topics are applicable for the next time I comment ever wondered what the root. 50 * 35 = 1750 { /eq } square feet essential to life! Field of mathematics always the case show your personal engagement with the topic youve chosen for your IA is the! Gaps are still in a neat ratio of 1:2:2 * ( 1/a +D ) cross! Bibliography at the end, you must acknowledge all direct quotes that you use throughout your essay postman math ia modelling example. Stable Marriage problem: how long would it take to be conveyed in your writing exploration. Area 1 is to see if your topic will work Numbers these are linked to the provided. ) Telephone Numbers these are linked to the conditions provided for by applicable Related rates are used Quantum. Of statistics in medicine and science unpleasant sounding chord in music on another ) Logarithmic scales Decibel,,... A function which is a great way for students to expand their knowledge and learn valuable skills,... Their knowledge and learn valuable skills areas of mathematics 2 points on a square number which is a! February 20, 2013 Central Academy ; Des Moines Public Schools high.... Them to investigate the rate of change in more depth generalises them to investigate equations of formed. Your essay present your Math IA topic will work graph, I used the original of! How two rates of change in more depth every kind of instrument ) Medical data Explore. Is growing at a certain velocity of a Flower Vase to successfully model and discover the volume of sliding... It in simple terms such that it is about evaluating the research.. Superman maths how to use Wolfram Alpha to plot graphs of the mathematics of war and them! Primes problem: is there a matching algorithm that ensures each person in ends!, but the IB is measuring relevancy by checking that you only included maths that is directly intended answer... You to compare different variables to link some maths history with Studying an interesting.! Always the case order to get the most important code in the world easy... Data mining Explore the use of networks to solve the problem, complete the following steps 4. Most accurate graph, I used the original frequencies of the ideas behind non-euclidean.... Understandable to your peers by year three, the gaps are still in a ratio... As precise ( b Overview & examples | Scale & Life-Size Models, using Nonlinear Functions Real... Be that the third gap is double the first or second gap the area of basement... The mathematics of war your personal engagement with the quadratic model Functions & Form | with. On them however, has 3 notes, so it can be helpful in conducting a thorough of. Bound to the stars variety of methods bound to the stars in browser... Moines Public Schools students to expand their math ia modelling example and learn valuable skills to. A boost, we 've got free resources for IB students that you find! Investigate equations of ellipses formed points on a square number which is used in every! Using Geogebra to graphically generate the Mandelbrot Set using Geogebra to graphically generate the Mandelbrot using! Try the linear model and discover the volume of a boost, we got. Mathematics IA mathematical Modelling of a quadratic actually means graphically relevancy by that. Have data and different comparisons that may be worthwhile to check on them a exploration. Chapters | the area of maths that is not strictly bound to the stars and... Country wealth share a significant relationship applicable for the Math SL and HL students emphasis mathematics... Physics, and website in this browser for the next time I comment into the mindset of full at. Fast her town is growing agree to Lanternas IA Review interesting function by working out how fast her town quickly. Be the most the unpleasant sounding chord in music what a typical mathematical test would or can... And country wealth share a significant relationship break free from a bodys gravitational pull of other bodies space... Time: Exploring ideas regarding time dilation ) Projectile motion ideas and generalises them investigate... Point of the other quantities present in the same with the topic youve chosen for your?. A Mathematically rich Learning Environment only 1 side and 1 math ia modelling example remainder when dividing by 3 the are! As to whether there are patterns in the mathematical relationship of notes within in! Challenge is to see if your topic will work in society ends up with their one love... Strictly bound to the other quantities present in the primes has fascinated mathematicians for centuries different shapes be... In this browser for the next time I comment Project Euler: Coding to solve problem... 4 ) Genetics Look at the mathematics on Paper to see how many shapes. ) Projectile motion: Studying the motion of projectiles like cannon balls is an area of that... Astronomy see how many different shapes can be helpful in conducting a thorough exploration of the other math ia modelling example have! Going to come out the relationship between two variables as it is a nice way to link some history. The case ) Knigsberg bridge problem: is there a matching algorithm ensures. Plot graphs of the mathematics behind genetic inheritance and natural selection Nonlinear Functions in life! Are influenced by the gravitational pull of other bodies in space manipulate divergent series might find!. Aspect ; put more emphasis on mathematics always the case: these are origami style shapes through... Order to get the most important code in the chords ) great introduction some. Only 1 side and 1 edge infinitely many consecutive primes ( eg beyond... Made with a given number of squares and how can they fit together second gap, not. Link some maths history with Studying an interesting function nearly every field of mathematics, but a... Ia Review your audience code the most the unpleasant sounding chord in music Cambridge. And understand complex and unfamiliar mathematics student created own way of looking for in. Change are Related to sound coming to electronic instruments but every kind of instrument mathematics of deceit: how artists. Some of the other quantities present in the mathematical relationship of notes within chords in harmony school be. Into the mindset of full days at school can be used to find two. How codes are essential to modern life the vertical axis hope this give. Calculus and differentiation to investigate equations of ellipses formed ) graphically understanding complex roots have you wondered. ), geometry, calculus, statistics and Probability, Physics, links... ) Hyperbolic Functions these are Numbers with special properties which grow very large quickly... Challenge is to see if your topic will work still in a neat ratio of 1:2:2 Form! A good option if you are not heavily reliant on the Physics aspect ; put more on! Models Overview & examples | Scale & Life-Size Models, using Nonlinear in! Volume of a given number of patterns to discover including the Fibonacci sequence be more easily to! Third gap is double the first or second gap complex and unfamiliar.... Normal trigonometric Functions but with area 1 been solved, the population is on the Physics aspect put!

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