What is Growth: Definition and 325 Discussions

Economic growth can be defined as the increase or improvement in the inflation-adjusted market value of the goods and services produced by an economy over time. Statisticians conventionally measure such growth as the percent rate of increase in real gross domestic product, or real GDP.Growth is usually calculated in real terms – i.e., inflation-adjusted terms – to eliminate the distorting effect of inflation on the prices of goods produced. Measurement of economic growth uses national income accounting. Since economic growth is measured as the annual percent change of gross domestic product (GDP), it has all the advantages and drawbacks of that measure. The economic growth-rates of countries are commonly compared using the ratio of the GDP to population (per-capita income).The "rate of economic growth" refers to the geometric annual rate of growth in GDP between the first and the last year over a period of time. This growth rate represents the trend in the average level of GDP over the period, and ignores any fluctuations in the GDP around this trend.
Economists refer to an increase in economic growth caused by more efficient use of inputs (increased productivity of labor, of physical capital, of energy or of materials) as intensive growth. In contrast, GDP growth caused only by increases in the amount of inputs available for use (increased population, for example, or new territory) counts as extensive growth.Development of new goods and services also generates economic growth. As it so happens, in the U.S. about 60% of consumer spending in 2013 went on goods and services that did not exist in 1869.

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  1. M

    A New paper claims there is evidence of suppression of structure growth

    A paper by Nhat-Minh Nguyen, Dragan Huterer, Yuewei Wen titled "Evidence for suppression of structure growth in the concordance cosmological model" https://arxiv.org/abs/2302.01331 The abstract says: We present evidence for a suppressed growth rate of large-scale structure during the...
  2. somasimple

    Medical Is there a contradiction between growth and membrane potential?

    Hello everyone, All living things have a growth cycle in which they gain mass and volume. These elements are obviously and undoubtedly taken from the environment in which these creatures live. Therefore, it is undeniable that the amount of potassium, for example, in the body increases during...
  3. karush

    MHB How does the population of a southern city follow the exponential law?

    $\tiny{\textbf{6.8.7}}$ Kiaser HS Population Growth The population of a southern city follows the exponential law (a) If N is the population of the city and t is the time in years, express N as a function of t.$N(t)=N_0e^{kt}$ (b) If the population doubled in size over an 18-month period and...
  4. T

    MHB How Does Exponential Growth Affect a Bacterial Population?

    A bacterial population x is known to have a growth rate proportional to x itself. If between 12 noon and 2:00 pm, the popilation triples. 1. What is the growth rate pf the given problem? 2. Is the number of bacterial population important to the problem? 3. At what time should x become 100...
  5. H

    Determining the growth of two functions using Big-Oh definition

    My attempt involved using the big-Oh notation, I think this should work but I am not sure how to go about it. The two functions are g(n) = 6^n/n^5 and h(n) = (ln n)^84. I thought that I could use the inequality 6^n < ln(n)^84 and 6^n/|n^5| = |g(n)| < 6^n and put those inequalities together...
  6. M

    Question about boundary layer growth in convergent and divergent ducts

    Hi, I was recently reading about convergent-divergent nozzles and was wondering about how boundary layers grow in them. Question: How does a boundary layer grow in a convergent duct in subsonic flow? How does this compare to the growth of a boundary layer in a divergent duct in subsonic flow...
  7. diegzumillo

    I Average of prime factors growth

    Hi there, bored physicist here. I wondered about factorization so I made some plots and a model fit to satiate my curiosity, but it only made me more curious. Now I just want the answers! I didn't know which prefix to use. "Hobbyist" seemed more appropriate but we don't have that so I went with...
  8. PainterGuy

    Human body growth in the absence of a brain

    Hi, Does the brain control the physical growth of a human baby? I think if, for some unfortunate reason, the brain is absent, the growth would still take place normally but more like a vegetable. I don't think if the brain is absent, one can even blink the eye or move a finger. But the...
  9. S

    A What is the difference between aggregation, nucleation and growth?

    Im bit confused about what is exactly the difference between the terms, which process every term describes ?
  10. Ryan_m_b

    B Discover the Black Hole Growth Rate: Time Frame for Consuming Planetary Mass

    If a black hole was placed at the centre of an object (like a planet) how long will it takes for the mass of that planet to be consumed? I’ve tried having a look around the internet for an answer for this (kind of silly) question but can’t find one. I thought maybe of working out the flow of...
  11. scottdave

    B Using a logarithmic scale to represent COVID-19 growth

    The author, John Burn-Murdoch, shows here ( https://threadreaderapp.com/thread/1237748598051409921.html ) how the logarithmic scale can give a better "sense" of what is happening. In linear scales, some countries' data is squashed to almost nonexistent, while others explode out of control. I...
  12. L

    MHB Jack and Jane: Same Height, Different Growth

    Suppose Jack and Jane are the same height, and Jack's height increases by 15% to 5.75 ft. If Jane does not grow, what is her height?Thank you in advance for your help and time.
  13. S

    MHB Computation based on linear growth

    In 2000 the company had 300 customers. In 2015, this company already had 1200 customers. How many customers did the company have in 2008 if we know that the number of customers growing is linear?Just want to make sure, is 780 the correct answer?
  14. S

    When a journalist uses the term "inflection point" to describe growth

    I was reading an article about Amazon's growth hitting an "inflection point" where basically the function changed from going more or less linearly (i.e., power = 1) to a more parabolic (i.e., power > 1). It seems to me that this term is being misused since an inflection point really describes...
  15. karush

    MHB 2.7.263 AP calculu Exam Population growth

    image to avoid typos Ok I'm clueless,
  16. R

    Tin Whisker (TW) growth in Electronics

    I am preparing a presentation on TW and have reviewed the NASA site which is good, but most of the data is at least 10 years old. Does anyone have any current data on TW mitigation? Here is the NASA link I used ►► https://nepp.nasa.gov/whisker/ Thanks, Ray
  17. V

    A What type of function satisfy a type of growth condition?

    Let ##f:\mathbb{R}^n\rightarrow\mathbb{R}^n##. Is there any class of function and some type of "growth conditions" such that bounds like below can be established: \begin{equation} ||f(x)||\geq g\left( \text{dist}(x,\mathcal{X})\right), \end{equation} with ##\mathcal{X}:= \{x:f(x)=0\}## (zero...
  18. V

    MHB What type of growth conditions can establish \$||f(x)||\geq K \text{dist}(x,\mathcal{X})\$?

    Hello! I have the following question: Let $f:\mathbb{R}^n\rightarrow \mathbb{R}^n$. Is there any class of class of functions and some kind of "growth conditions" such that bounds like below can be established: \begin{equation} ||f(x)||\geq g\left( \text{dist}(x,\mathcal{X})\right)...
  19. S

    How can I successfully grow high-quality KDP crystals?

    I've been trying to grow a KDP (potassium dihydrogen phosphate) crystal, but I'm having trouble growing anything. I've been adding potassium phosphate fertilizer to distilled water in a bottle I cleaned out and heating it to dissolve the chemicals, but so far haven't gotten much results. It's...
  20. A

    MHB Calc Male & Female Cattle Pop Growth Rates: 30 Heifers, 100% Fert/Surv

    I want to estimate the number of male and female cattle produced over a period of time (say, five years and ten years) from an initial stock of 30 heifers, all 18 months of age at which age they are first joined (mated). Assume that the first calf is born when the mother is 27 months old...
  21. S

    A Physical significance of growth rate in plasma

    Let us say that we have a dispersion relation curve and associated instability curve as shown below for a magnetised plasma, which have been formulated through kinetic theory. The frequencies and growth rate have been normalized w.r.t. cyclotron frequency of proton. My question is: what does...
  22. E

    Difference between brittle fracture and fatigue crack growth

    My question here is regarding fracture of materials. I have problems in understanding some concepts. Now, for static loading, there is a property called KIC (fracture toughness). By equating our stress from the static load to this KIC, we get the maximum length of the crack which does not...
  23. O

    MHB Calculus I - Relative Growth Rate help

    Here is a picture of the problem: I am firmly stuck on part b). I know that relative growth rate is defined at f'(x)/f(x), but I cannot seem to come up with the right answer. I've tried everything I could conceivably think of. I do not understand why my answer is incorrect, unless I'm...
  24. J

    B Questions About the Growth of the Universe

    I know nothing about physics, but it would be great to get an answer to my questions of anyone can help: 1) If everything that exists does so within the universe, does it make any sense to say that the universe 'grows'? Against which yardstick is any growth being measured? 2) Would the energy...
  25. D

    B Can graphene be used as a template for graphene growth

    Hi, If I had a silicon carbide wafer Si-face with a monolayer of graphene on it, then spin-coat it with single wall carbon Nano tubes (CNTs) onto the graphene and then annealed it, would the CNTs bond to the graphene under them? Or would they still partially unzip and decompose forming a sheet...
  26. T

    MHB City Population Growth: A Unique Algebra Problem

    Hey, I found an interesting algebra problem combined with log. It was quite an unique one so I wanted to share it with you guys. Problem: There is a city where the population increases at a constant rate. At the end of 2016, the population of the city was 2 times larger than the population...
  27. opus

    B Exponential Growth: Modeling growth in months vs years

    Say I have a function that represents the population growth of a certain country that can be written as ##f\left(x\right)=1.25\left(1.012\right)^t##, where t is in years. I can graph this function and it will look a certain way exponentially. I've looked at a ton of examples, and they're all...
  28. Giridhar S

    What are the benefits of using plant growth retardants for cabbage growth?

    Is it possible to slow down the growth of cabbage ? Is there any kind of chemical growth inhibitors for cabbage ?
  29. Posty McPostface

    Your thoughts about excess reserves?

    Chart: Source. So, inflation has been low, which has been troubling economists and the FED over the effectiveness of undertaken Quantitive Easing (QE). What's the cause of this, and are banks holding onto excess reserves the real issue here? What are your thoughts about all this liquidity in...
  30. Elissa Damron

    Calculating "population absurdities"

    Homework Statement The urgency of population problems can be emphasized by calculating such "Population absurdities" as the time at which there will be one person per square meter or per square foot of land or the time at which the weight of people will exceed the weight of the earth. Try...
  31. W

    I Observing a mass forever approaching a BH, and BH growth

    My understanding is that one can never observe an object crossing the event horizon. Instead, one will observe the infalling mass "smear" over the (imaginary) spherical surface of the event horizon. If my understanding is correct, then how do black holes grow in mass, and therefore, size...
  32. FritoTaco

    Models for Population Growth

    Homework Statement The Pacific halibut fishery has been modeled by the differential equation. \displaystyle\dfrac{dy}{dt}=ky\left(1-\dfrac{y}{M} \right) where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying...
  33. S

    MHB Gradients of curves to find average growth rate between two points

    Hello Maths Help Board Users, I was hoping for some guidance on the following problem. Thanks in advance for your contributions and time. "A fish population grew according to the following quadratic model - the number of fish on day t is given by P (t) = 800t - t2" Q) Find the average growth...
  34. E

    B Logarithmic growth vs exponential growth

    From the book Calculus made easy: "This process of growing proportionately, at every instant, to the magnitude at that instant, some people call a logarithmic rate of growing." From Wikipedia: "Exponential growth is feasible when the growth rate of the value of a mathematical function is...
  35. E

    Growth of Functions Homework | Solutions & Analysis

    Homework Statement [/B] Homework Equations Provided in (1). The Attempt at a Solution I think (a) is no because, though ##c_1g > f,## the actual un-vertically-translated ##g## could be less than ##f,## meaning its lower bound ##c_2h < f## over ##c_2 \geq 1,## meaning ##h < f.## Am I...
  36. E

    Algorithm Analysis - Growth of Functions

    The problem statements, all variables and given/known data: Question 1 Question 2 Relevant equations: Provided in question snips. The attempt at a solution: Question 1: I think qux is the answer because it properly increments k by 1 in each iteration. j = j * 2 means j is always 0 so its...
  37. patrickmoloney

    What is the solution for calculating population growth with mice?

    Homework Statement Hey guys I'm struggling to find much information of modelling single species population dynamics that relates to this question. A question like this is going to be coming up in my final exam and I need to be able to solve it. I'm struggling to even know where to start. I'm...
  38. M

    MHB What is the growth rate of a differentiable function?

    Hey! :o We have that the differentiable function $u(t)$ is stricly positiv for all $t\in [0,\infty)$ and that $w$ is the continuous growth rate of $u(t)$. I want to show that $$w_u(t)=\frac{d(\ln u(t))}{dt}$$How is the formula for the growth rate? Is it maybe given by...
  39. karush

    MHB Another bacteria growth problem

    $\tiny{205.22}$ $$\displaystyle b'(t)=8^5-2(8^4)(t) \\ b'(0)=8^5-2(8^4)(0)=8^5=3.3 \cdot 10^4 \, \frac{p}{h} \\ b'(4)=8^5-2(8^4)(4)=0 \,\frac{p}{h} \\ b'(8)=8^5-2(8^4)(8)=-8^5=-3.3 \cdot 10^4 \, \frac{p}{h}$$ $$\text{suggestions?}$$
  40. Battlemage!

    I Lim f(x)/g(x) as x->∞ and relative growth rate of functions

    Everyone "knows" that \lim_{x\rightarrow ∞}\frac{2^x}{x^2} = ∞. We "know" this because 2x grows faster than x2. I use quotes because this is just what we're told in basic calculus classes. But what about a theorem for this? I've searched through google, looked through various university homework...
  41. Aafia

    What is nastic movement due to growth?

    I have read in my biology book that "nastic movement is the movement that occur due to difference in the rate of growth on two opposite sides of a plant organ" , but I can't visualize how this movement take place and how the rate of growth cause this movement?
  42. F

    Lorenz system directions of fastest growth

    Homework Statement A Lorenz system is given by x' = sy - sx y' = 3sx - y - xz z' = xy - bz In the vicinity of point x = y = 2s, z=4s , for s>>b, show motion is aligned with the y,z plane (sub these values in and x' is 0). By considering the evolution of vectors [2,0,1+sqrt(5)] , [0,1,0]...
  43. L

    Word problem equation linear growth and slope

    Homework Statement truck moves oils (lubricating oil presumably) to gas stations. At full load the truck transportation cost is 300$ when the traveling distance is 120km and the transportation cost is 350$ when the traveling distance is 165km At this interval, the costs change linearly. You...
  44. alexandria

    Exponential growth and compound interest

    Homework Statement Homework Equations A = P(1+i)^n The Attempt at a Solution Here is my attempted solution, can someone please verify if my method is correct! Thanks in advance![/B]
  45. alexandria

    Exponential growth and compound interest

    Homework Statement Homework Equations The Attempt at a Solution here is my attempted answer, can someone please verify if my method is accurate and if my solution is correct? thanks for the help!
  46. coolsalena

    I How does pH affect crystal growth?

    Hi! The crystal that I am growing is Mohr's salt. though i have already optimized the parameters (pH), i would like to know the reason why pH affects it's growth. pH 1: no crystals formed pH 2: crystals formed Thanks!
  47. H

    News Is unrestrained population growth ethical....

    Couldn't figure a better thread title but my question is as follows. Intro... I was bought up to think that any suggestion to limit population growth from a state level is like the most evil suggestion. Given that science will prolly always find ways to feed people I would like to leave food...
  48. E

    Is Home-Based Diamond Coating of Magnetic Implants Possible?

    I have been talking with some biohackers and have been discussing diamond coated magnetic implants. We know it can be and has been done but want to attempt to do so in a home setup. I wanted to see what you guys know about the topic and overall just say wether we should or not
  49. S

    A Different equations for the growth factor

    Hi everyone, I am looking for the correct form of the growth factor in large scale structure. I have found two different equations which I think are not consistent! Can anyone please tell me why it is like this? The first one if from the book "formation of the structure in the universe" Edited...
  50. UncertaintyAjay

    Current Growth due to Magnetic Induction

    What factors affect the rate of growth of current when an emf is induced in a coil?