Natural Definition and 1000 Threads

Nature, in the broadest sense, is the natural, physical, material world or universe. "Nature" can refer to the phenomena of the physical world, and also to life in general. The study of nature is a large, if not the only, part of science. Although humans are part of nature, human activity is often understood as a separate category from other natural phenomena.The word nature is borrowed from the Old French nature and is derived from the Latin word natura, or "essential qualities, innate disposition", and in ancient times, literally meant "birth". In ancient philosophy, natura is mostly used as the Latin translation of the Greek word physis (φύσις), which originally related to the intrinsic characteristics that plants, animals, and other features of the world develop of their own accord.
The concept of nature as a whole, the physical universe, is one of several expansions of the original notion; it began with certain core applications of the word φύσις by pre-Socratic philosophers (though this word had a dynamic dimension then, especially for Heraclitus), and has steadily gained currency ever since. During the advent of modern scientific method in the last several centuries, nature became the passive reality, organized and moved by divine laws. With the Industrial revolution, nature increasingly became seen as the part of reality deprived from intentional intervention: it was hence considered as sacred by some traditions (Rousseau, American transcendentalism) or a mere decorum for divine providence or human history (Hegel, Marx). However, a vitalist vision of nature, closer to the presocratic one, got reborn at the same time, especially after Charles Darwin.Within the various uses of the word today, "nature" often refers to geology and wildlife. Nature can refer to the general realm of living plants and animals, and in some cases to the processes associated with inanimate objects—the way that particular types of things exist and change of their own accord, such as the weather and geology of the Earth. It is often taken to mean the "natural environment" or wilderness—wild animals, rocks, forest, and in general those things that have not been substantially altered by human intervention, or which persist despite human intervention. For example, manufactured objects and human interaction generally are not considered part of nature, unless qualified as, for example, "human nature" or "the whole of nature". This more traditional concept of natural things that can still be found today implies a distinction between the natural and the artificial, with the artificial being understood as that which has been brought into being by a human consciousness or a human mind. Depending on the particular context, the term "natural" might also be distinguished from the unnatural or the supernatural.

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  1. F

    Solving ln(x)=b x^2 for Exactly One Solution

    the question is simple but i can't seem to think of a solution. for what b>0 does ln(x)=b x^{2} have exactly one solution, and not 0. I've tried playing with ln rules but can't seem to think of a solution
  2. Pengwuino

    Question about Natural Units in High Energy Physics

    I have a quick question about the units used in high energy physics. In natural units, c = h = 1, but I keep seeing time referenced as t=\frac{1}{m^2}. I figure there's 2 h-bars on top but that still leaves s^2. Can someone straighten me out here? Thanks!
  3. M

    What is the Earth's natural resonant frequency?

    (Is there one?) What is the Earth's natural resonant frequency?
  4. J

    What is the flaw in the statement about T and how can it be corrected?

    Homework Statement Let m be a natural number. Find the flaw in the statement below. Explain why the statement is not valid, and change one symbol to correct it. "If T is a set of natural numbers such that 1) m \in T and 2) n \in T implies n+1 \in T, then T = {n \in N : n ≥ m} Homework...
  5. C

    COMSOL Natural Convection Thermosyphon Convergence Problem

    Hello, I am having some problems with COMSOL multiphysics 3.5a. I am using 2D weakly compressible flow with general heat transfer and am trying to model a natural convection loop. The Approach I have taken is to use properties of the material for a certain range of temperatures to...
  6. A

    Natural Log Composed with Hyperbolic Tangent & this Ratio

    Hello, Consider x \in (0,1) , that is x between 0 and 1. Can someone explain why the following is true: \frac{x-1}{x+1} = \tanh \left( \ln \left( \frac{x}{2} \right) \right)
  7. R

    The minus difference between cubes of two natural numbers is 208

    Homework Statement The difference between cubes of two natural numbers is 208. Which are those two numbers?Homework Equations -The Attempt at a Solution Here is how I set it up. x\widehat{}^{}3 - (x-y)\hat{}3 = 208, which leads to ... x\hat{}2(3y) + x(-3y\hat{}2) + (y\hat{}3 - 208) = 0 I...
  8. B

    Consciousness vs Natural Instinct

    I am having trouble deciphering the difference between consciousness and and unconsciousness. If Consciousness is an illusion created by electrical signals that project what we call reality, would this mean if it seased to exisit so would life? and would we lose natural instincts such has...
  9. L

    Natural preservatives. vinegar, alcohol, sugar, salt, oil.

    there are a lot of natural preservatives. vinegar, alcohol, sugar, salt, oil. what is the best? Is there any predominant research about this topic?
  10. T

    Finding a Natural Frame of Reference on the Cosmic Scale

    I'm looking for a list of "natural" frames of reference on the cosmic scale. Something that can be used as "the" frame of reference for everyone in the universe that isn't arbitrary. So let's brainstorm about some potential candidates. The more the better. If need be, start with an idea and...
  11. D

    How to Determine Relay Operation Cycle Time Using Natural and Forced Response?

    I have this circuit that I have attached with the question, Its given that V=100 V, R1= 30, R2= 70 and R3 = 3. L = 1/11 H The switch in the circuit represents a current operated relay, the contact of which close when current through inductor is 0.9 A and opens again when current is 0.25 A...
  12. M

    Natural Laws and their domain of validity

    "Natural Laws" and their domain of validity What is the philosophical justification for extending observed phenomena to "laws of nature". For example, Galileo dropped massive objects and saw that they fall at the same rate, but to then say that all massive objects fall at the same rate requires...
  13. A

    Natural Period of Vibration for Mass with Torque

    Homework Statement A body of arbitrary shape has a mass m, mass center at G with a distance of D and a radius of gyration about G of K. It is hanging, and pinned at the top. If it is displaced a slight amount of angle P from it's equilibrium position and released, determine the natural period...
  14. S

    Resonant frequency vs Natural frequency

    I happened to sit in a presentation where the presenter displayed 2 separate values for resonant frequency and natural frequency. It was my understanding that the both are same and now I am in doubt. Please explain - if there is and you know - the difference between resonant frequency and...
  15. D

    Total control of natural forces Quantum Mechanics new defined (?)

    Well, i stumbled across this paper HERE: www.wbabin.net/science/znidarsic3.pdf He claims to have found a way to CALCULATE the plank constant, calculated the Energy levels in the hydrogen atoms through totally classical approach and some kind of velocity of a transition state between quantum...
  16. r-soy

    How Long Are These Natural Wonders?

    Find the height or length of these of these natural wonders in kilometers , meters , and centimeters . (a)The longest cave system in the world is the Mammoth Cave system in Central Kentucky. It has a mapped length of 384 miles (b)In the United States , the waterfall with the greatest...
  17. P

    Medical Unveiling the Body's Natural Alertness: A Non-Caffeinated Journey

    When I first awaken, I often feel groggy. But as time goes on I feel more awake and alert(even without coffee, etc...) What changes in my body that makes me more alert? Hope that's not a silly question.
  18. E

    Inverse laplace transofrm of natural logarithm

    Homework Statement the inverse laplace transform of ln\frac{s+2}{s-5} using the inverse Laplace transform of the derivative Homework EquationsL^{-1}{\frac{d^{n}}{ds^{n}}F(S)} = (-1)^{n}t^{n}f(t) The Attempt at a Solution the integral of ln\frac{s+2}{s-5} I worked to be (s+2)ln(s+2)-(s+2)...
  19. F

    Trigonometric integration with natural log

    Homework Statement integral of secxtanx/secx -1 Homework Equations sec u du = ln |sec u +t an u | + c The Attempt at a Solution sec u +tan u | + c
  20. L

    Natural vibration - energy method

    Homework Statement the problem is in the attached file, I am having trouble with part d and e. cheers. [the answer for B is mr^2(0.5-16/9pi^2)] Homework Equations The Attempt at a Solution i won't upload all my working as i have stuff everywhere but for part d: i got my...
  21. K

    Estimating ln n and Proving its Limit as n Approaches Infinity

    Homework Statement using the following definition: ln x = \int dx/x, give best possible upper and lower estimates of ln n, n a positive integer. then, use this result to show that the limit of the function as n approaches infinity is infinity. Homework Equations -- The Attempt...
  22. J

    2 D.O.F System - Natural Frequencies

    Homework Statement The question is a 2 D.O.F system, m1 = 600kg, m2 = 50kg, k1 = k3 = 0.5MN/m, k2 = 0.2 MN/m. Calculate the natural frequencies. Homework Equations 1167-w^2 -333.3 X1 0 = -4000 14000-w^2 X2...
  23. E

    Calculus, Integrals with Natural Logarithms

    Homework Statement ∫tan^2(2x)/sec2x dx; u=sec2x; du=1/2tan^2(2x)dx. Homework Equations ∫1/x(dx)-ln|x|+C. ∫1/u(du)=ln|u|+C The Attempt at a Solution This is me trying to rewrite the equation. (sin^2(2x)/cos^2(2x))/(1/cos2x), (sin^2(2x))/(cos(2x)). Honestly, I feel lost trying to...
  24. K

    Comparing pressure losses in compressible flow between air and natural gas

    Hi! I have experimental data measuring losses across an obstruction in compressible flow which basically consists of static pressure, total pressure and total temperature upstream of the obstruction and the same variables downstream for a number of different mass flow rates. This data was...
  25. S

    Natural frequency determination

    I have estimated some transfer frequency functions of complex mechanical suspension. It is shown the gains reach a very high value at a 0.8Hz. How could i know if the 0.8Hz isthe suspension natural frequency?
  26. D

    Why are the electrons always against natural tendencies?

    Homework Statement CONSIDER A SITUATION AN ELECTRON SAY MOVING ON THE SCREEN OF UR COMPUTER FROM BOTTOM TO TOP . SUDDENLY A MAGNETIC FIELD IS SWITCHED ON OUTWARDS TOWARDS YOUR FACE FROM THE SCREEN . NOW VISUALISE THE MOTION OF ELECTRON SURELY A ANTI CLOCKWISE CIRCLE { AN ELECTRON IS...
  27. K

    Behavior of the natural log at large values of x

    Hello, I am fairly new here, so thank you in advance for your help. This is not a homework problem, just one of curiosity based on my limited knowledge of asymptotic expansions. I'm curious about how the function ln(x) or ln(1+x) behaves for large values of x. Plotting in Matlab, I see a linear...
  28. H

    Prove that every natural number is either odd or even

    Hello people. I'm a freshman in college and I'm looking forward to enter an advanced mathematics program. The admission test is basically number theory & sometimes I get stuck with some questions (I'm using Spivak's Calculus to study). I'm stuck on question 8, chapter 2. "Prove that every...
  29. M

    Natural Convection - horizontal cylinder

    Nusselt number: 1) The only correlation I could find so far is the one described here http://en.wikipedia.org/wiki/Natural_convection which seems to be from Churchill/Thelen. There seem however to exist some questions regarding the characteristic length and the value to use for Nuo (see...
  30. J

    Measuring CO2 in Natural Gas: Device Needed

    Does anyone know of a device that will measure the percentage of CO2 (about 5% and resolution down to 0.1%) in natural gas, in real time, the gas is at approx 40 bar and 30 Deg C. Thank you
  31. J

    Proofs of the Existence of No Greatest Natural Number

    Earlier today, I was thinking about the statement that "there exists no greatest natural number" and immediately, two proofs sprang to my mind. Since my question depends on these, I'll write them out below . . . Proof 1: Let n \in \mathbb{N}. Clearly n+1 \in \mathbb{N} and n < n+1. Since...
  32. W

    LaGrange multipliers with natural base

    Homework Statement f(x,y,z)=exy and x5+y5=64 Find Max and MinHomework Equations ∇F = <yexy, xexy> λ∇G = <5x4λ, 5y4λ> The Attempt at a Solution yexy = 5x4λ xexy = 5y4λ x5+y5=64 No idea where to go from here...
  33. C

    How do I solve for K in ln(1-4k) = -6k?

    Homework Statement Trying to solve for K: ln(1-4k)=-6k Homework Equations The Attempt at a Solution I know that need to take the e of both side, to get 1-4k=e^-6k, but I cannot remember any properties of e to allow me to remove the k from the exponent. Any tips is appreciated.
  34. C

    Finding the sum and quotient of 2 natural domains

    Homework Statement 3. (a) Let f(x) = ln(x^2-1), and [itex]g(x)=\frac{x}{\sqrt{2-x}}[/tex] (i) Find the natural domains of f, g, f + g, \frac{f}{g}, and \frac{g}{f} Homework Equations N/A The Attempt at a Solution I know that the natural domain of f(x) is x belongs to real...
  35. D

    Minimum critical mass with natural uranium

    I wanted to know what is the minimum critical mass of natural uranium (99.28% U-238) when moderated by beryllium and light water, when in a optimumally designed lattice. As can be seen in this article (google Plutonium Production Using Natural Uranium) criticality is attained at about 10 tons of...
  36. A

    Vibrations problem - Deriving the natural frequencies

    Homework Statement A thin beam of length L (flexural Stufness EI, cross-sectional area A, density p) is connected to a linear spring of stiffness K_s at each end. Derive the governing equation for the natural frequencies of transverse vibrations from the beam equation and boundary conditions...
  37. G

    What are the answer choices for these natural log and composition problems?

    Homework Statement I keep getting what I think is the "right answer", but it's not one of my choices :^( Here are the problems and answer choices. 1). 2). Homework Equations nothing really...or at least I don't think besides the fact that e^-x = 1/e^x The Attempt at a Solution 1). x + 14...
  38. E

    Solving Natural Deduction Homework in SL

    Homework Statement I am new at logic and I'm stuck on a problem set: a) (~C \vee (A \cap B)) \vdash ((~C \vee A)\cap (~C \vee B)) b) \vdash ((A\cap B) \leftrightarrow (B^A)) c) \vdash (((A \rightarrow B) \rightarrow C) \rightarrow (A \rightarrow (B \rightarrow C))) d) ((A...
  39. E

    How do I solve this natural log integration problem?

    Homework Statement \int^{4}_{2} \frac{dx}{x\left(lnx\right)^{2}} Homework Equations Let u=lnx du=\frac{1}{x}dx x=2 \rightarrow u=ln2 x=4 \rightarrow u=ln4 The Attempt at a Solution so with the u substitution we have: \int^{ln4}_{ln2} \frac{1}{u^{2}}du which goes to...
  40. B

    Use Cantor's Diagonalization on the set of Natural Numbers?

    Homework Statement This is actually only related to a problem given to me but I still would like to know the answer. From my understanding, Cantor's Diagonalization works on the set of real numbers, (0,1), because each number in the set can be represented as a decimal expansion with an...
  41. B

    How Do Natural Frequencies Arise in a Clamped Metal Rod?

    Homework Statement A thin, flexible metal rod has a length of 0.606 meters. One end of the rod is clamped to a table, and the other end can vibrate freely. What are the first three natural frequencies of the rod if the wave speed in the rod is 27.4 meters per second? Hint: Draw pictures of...
  42. B

    Question on Natural Frequencies

    Homework Statement The speed of transverse waves along a stretched spring is 9.05 meters per second. The spring is 4.70 meters long and is held in place at both ends. What are the first three natural frequencies of the spring? Hint: Draw pictures of what the spring will look like when it is...
  43. K

    Every natural number is sum of powers of 2

    Claim: every natural number n can be uniquely expressed in the form n = 2jo + 2j1 + 2j2 +...+ 2jm where m≥0 and 0≤jo<j1<j2<...<jm. =========================== So I think we need to prove two things: (i) existence and (ii) uniqueness. My idea is to prove existence first by mathematical...
  44. T

    Conventions for Natural Numbers: Debate & Axioms

    what is the convention you adhere to when it comes to natural numbers? for example there is a long standing debate about 0... should we define \mathbb N = \{0,1,2,...\} or instead \mathbb N = \{1,2,3,...\} and more about this, considering Peano's Axioms than we could choose \mathbb N...
  45. T

    Natural frequencies of rectangular membranes

    Hello physicsforums members, I am an engineering student at Purdue University and am currently conducting research with regards to ribbon transducers. A ribbon transducer consists of a rectangular element of metal foil suspended within a magnetic gap (ie free at the sides) and...
  46. Char. Limit

    Natural Numbers & the Pythagorean Theorem

    I was pondering square numbers today, and I noticed something interesting: every natural number contains information to construct a Pythagorean triple. Let me show what I mean for an odd natural number, also using the binomial theorem for square quadratic equations (equations of the form...
  47. Y

    Solving equation with natural log with inverse hyperbolic

    Homework Statement Solve ln(sinh-1(x)) = 1 (Just give the formula for x, no calculator is necessary) sinh-1(x) = asinh Homework Equations The Attempt at a Solution When I did this, I knew sinh-1(x) = ln(x + sqrt.(x^2 +1), but the equation would look like ln(ln(x +...
  48. E

    How Do I Solve This Natural Logarithm Problem?

    Homework Statement This is my first time ever posting anything on here...but we just started working with ln? I know that it's the base e? or something like that... but the problem is this... 1/3=ln(x^2/x-4)Homework Equations The Attempt at a Solution I haven't attempted..i...
  49. F

    Boundary of {1/n : n is a natural number}

    Homework Statement I'm trying to figure out the the boundary of the set of all 1/n, where n is a natural number. Consider this as a subset of R with its usual metric, nothing fancy. Homework Equations There are at least two "equivalent" definitions of the boundary of a set: 1. the boundary of...
  50. M

    Solving Natural Logs: y=(sqrt(8x^4-5))/(x-1)

    I have the following function: y= (sqrt(8x^4-5)) / (x-1) take the natural log of both sides: 1) ln y= ln (sqrt( 8x^4-5) - ln (x-1) OR 2) ln y= 1/2 ln(8x^4-5) - ln (x-1) Which one is correct? I know when i take the natural log of a/b its ln(a)- ln(b)... but also when i take...
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