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.
Homework Statement
\int\frac{dx}{x(1+ln x)}
Homework Equations
Partial Fractions? Maybe I am solving this wrong...
The Attempt at a Solution
\frac{A}{X} + \frac{B}{1+ln x} = 1
A(1+lnx) + Bx =1
A + Alnx + Bx =1
This doesn't seem to work out properly. I have been having a...
Hi, I was wondering if anyone could find a solution to this:
d^2-ab=e^2-bc=f^2-ac
in the natural numbers where not all variables are equal. I don't know how to make a computer program, but if it takes little time, I would really appreciate if I could have a solution to it.
Homework Statement
I am trying to anti-differentiate (3t+2e^t)*[e^(-3t/2)]
Homework Equations
The Attempt at a Solution
I have simplified this into several forms, including [3t(e^(-3t/2)+2e^(-t/2)] . This form may or may not be accurate, but I am pretty sure that the form given...
I hit the submit instead of the preview. please wait
Homework Statement
\int9s9^s dsHomework Equations
∫udv=uv-∫9^sds-∫vduThe Attempt at a Solution
u=9s
du=9ds
dv=9^s ds
v=∫9^sds
=∫3^(2s) ds
=3^(2s)/[2ln(3)]
this is as far as i have gotten. Am i correct so far?
A nice puzzle I just found (hope it hasn't been posted before):
For which natural numbers n does the expression
\sqrt {30 + \sqrt n} \ \ + \ \ \sqrt {30 - \sqrt n}
yield also a natural number?
Hello, I was given a problem dealing with derivatives and compositions of g and f. The problem is, when I go to find the derivative at a certain point, it involves natural logs. I can only get so far when I can no longer get 'h' out of the equation!
f(x)=ln(x) for all x>0
g(x)=(x^2)-4...
The human leg can be compared to a physical pendulum, with a "natural" swinging period at which walking is easiest. Consider the leg as two rods joined rigidly together at the knee; the axis for the leg is the hip joint. The length of each rod is about the same, 54 cm. The upper rod has a mass...
Given two left adjoints F,H:\mathcal{C}\to\mathcal{D} of a functor G:\mathcal{D}\to\mathcal{C}, how do we show that F and H are naturally isomorphic? This is my idea so far (I am working with the Hom-set defenition of adjunction):
We need to construct a natural isomorphism \alpha. So, for...
I am starting my first year of college and I reviewing my high school notes from trig pre-cal and there was one thing I couldn't figure out. It was a multiple choice question and I don't have the textbook anymore but the answer I circled I can't understand how I arrived to that answer...
Hi there. First off, nice to meet you! This is indeed my first post and I look forward to getting to know you all. I came to you with the gravest of burdens on my mind so let's jump right in, shall we? We have a lot to cover!
This September I am starting my Honours Mathematics program at...
Homework Statement
sqrt(ln(x)) = ln(sqrt(x))
Homework Equations
The Attempt at a Solution
I've been trying to do this for some time now. Could anyone give some tips on how to get started with this?
Natural Metaphors: Metaphor Resides in Thought as Well as Words/
A natural metaphor, which is “motivated by the structure of our experience”, consists of two conceptual domains, a source domain is mapped into the target domain. “Metaphor resides in thought not just in words…We have to...
The rise and fall of evidence-based natural philosophy.
The way we think of the external physical world — natural philosophy -- has in the past often been coloured by anthro’centric prejudice and personal egotism. This perspective has gradually been eclipsed by the secular ideal of...
Why does e ^ (lnx) = x? where ln is log base e. Why is the integral of 1/x ln(x) and not log(x) ie log base 10 x? Is there some good information somewhere explainined this please? Cheers
"Today in talking to the gas company - I was told they are thinking the price of Natural Gas may reach $3.00 a therm by this winter.
The current price is $1.45 a therm, on my last bill it was $1.24. Remember a winter ago people where upset at $1.10 a therm.
That means bills that may...
Hi, i was wondering today whether or not natural vacuums existed inside of evey cluster of matters that may or may not have an atmosphere. for example, can we say that the space in between protons, neutron, and the electrons in an atom of iron is so small that almost no matter can "fill" the...
Misleading commmercials : The recurring "natural flavors " theme
The other day I was at Taco Bell and noticed their ad for the Fruitista beverage made of "natural flavors". One thing to note about "natural flavors" is that it is not the same thing as real fruit juice and thus there is no real...
Hi all,
I am new to the forum and am despreate for the solution for my current task. I am given a canteliver beam with the dimention:
L =1250mm
W= 75mm
D= 30mm
E=200 Gpa
density = 7800kg/m^3
poison ratio=0.3
and I optained the first five natural frequencies from COSMOSWorks 2007...
Homework Statement
Solve ln(2x+1)=2-ln(x) for x.
Homework Equations
The Attempt at a Solution
e^(ln(2x+1)) = e^((2-ln(x))
2x + 1 = e^(2/x)
2x^2 + x = e^2
2x^2+x-e^2 = 0
At this point, I know you're supposed to use the quadratic equation. But, my problem is with how...
Homework Statement
I'm trying to determine the difference between natural rubber and synthetic rubber using an undergraduate pulse-nmr machine... The graphs I obtained only show a difference in T2 time (shorter in the synthetic) but nothing else - but I'm supposed to "explain using my...
Homework Statement
The function f(x) =ln(10 - x) is represented as a power series in the form
f(x) = (sum from 0 to infinity) of c_{n}x^{n}
Find the first few coefficients in the power series.
The Attempt at a Solution
I know how to find the coefficients in a normal looking...
Can somebody please explain the negation elimination rule in natural deduction to me? I've read a few explanations and none of them make any sense whatsoever. Nor do I understand how you can (or why you would want to) be able to infer anything from a contradiction.
Thanks.
I keep hearing people praise "natural" products even beyond the limits of the laws of physics!
For example, a friend of mine who studies medicine said that natural vitamin C has different effects than artificial different C (the artificial one has some side effects) even though they have the...
I was recently doing some problems with Entropy, and came to the startling conclusion of incorrect units for most of my answers!
One problem, for example--was to calculate the change in entropy of a given sample as it gained heat per temperature.
\Delta S=\int^{f}_{i}\frac{dQ_{r}}{T}
The...
i need help with this:
lim x->\infty of \frac{ln(2+h) - ln(2)}{h}
i have no idea where to even begin!
i tried resolving it, but it didn't help :[
any suggestions??
I had a question on how to find the stoichimoteric coefficient in combustion reaction contains several types of natural gas.
Lets say for example: u start with a natural gas (using moral analysis) 0.865CO2 + a0.08C3H8 + b0.02C3H8 c0.035N2 + d(O2 + 3.76) ------> eCO2 + fH20 + gN2;
Using...
Hi,
I was reading "Introduction To Set Theory" by Karel Hrbacek and Thomas Jeck and stuck with some logical trap in the proposition that "(\textbf{N},\prec) is a well ordered set" where \textbf{N} is set of all natural numbers. I will try to present the argument briefly to clarify the...
Homework Statement
I have liquid natural gas, or LNG, at -165degrees Celsius. I want to know the total energy required to heat the gas up 50ml to 5 degrees Celsius.
Homework Equations
Not sure.
Im assuming I need information regarding specific heat etc. Heat of vaporization maybe...
My Biology text, Evolutionary Analysis, claims that survival to sexual maturity decreased in C. elegans that originated from a single progenitor and were kept in a benign environment to decrease selective forces. This is cited from a paper by Vassilieva in 2000. My book claims that this...
Homework Statement
Proof that for n>2 and n is a natural number it holds that
\prod_{k=1}^{n}\frac{k^{2}+2}{k^{2}+1}<3
and
\prod_{k=1}^{n}\frac{k^{2}+2}{k^{2}+1}<\frac{3n}{n+1}
Homework Equations
The Attempt at a Solution
My best approach was to split the product over the...
Homework Statement
What is the heat transfer from a 60W electric light bulb at 127C to the stagnant air in a room at 27C. Approximate the bulb to a 50mm diameter sphere. What percentage of the power is lost by free convection?Homework Equations
Nu=2 + 0.6(Gr^1/4)(Pr^1/3)...
Hi, I'm looking for some help in calculating the amount of force from natural gas exploding. Part of the problem is that it causes a wall from a house to fail first. Area of wall 875 SF. Wall depth .25 ft. I was going to assume the whole wall to be the boundry conditions for the volume that...
My friend edits grade school textbooks and often has science questions. While I pretty much know the answers, I like to get them verified from more reliable sources.
This is once such question asked:
This was my response:
True? I mean is this why Earthquakes are measured as magnitudes...
y''-y'-30y=ln(t)
My attempt:
i tried to use the method of undetermined coefficients.
y''-y'-30y=ln(t)
Y(t)=A lnt
Y'(t)=A/t
Y''(t)= -A/t^2
I also tried:
Y(t) = A ln(t) + B 1/t + C 1/t^2
now I am stuck...any help??
Hello I need to calculate the nusselt number for natural gas in a buried pipeline. My question is how to calculate the convective heat transfer co efficient?
The data is 220000m3/h, pipe ID 35", gas temperature 100C and ground temperature is 4C, gas SG 0.65, k = 0.037 W/m-K, R= 441 J/kg-K, CP =...
Homework Statement
Hello! I am new user on this forum.
I have one problem with Algebra.
Here it is:
For which n \in \mathbb{N}, this fraction is also natural number?
\frac{n^2-n+2}{n+1}
Homework Equations
The Attempt at a Solution
I don't have any idea, where to...
Hi,
Can someone please help me out and guide me?
Homework Statement
http://img167.imageshack.us/img167/3892/dscn8321rn1.jpg Homework Equations
Shown aboveThe Attempt at a Solution
a) f(x) = -2 +ln(x)^2
f'(x)= 2/x
Ans: All real numbers except for 0
b) -2 +ln (x)^2 =0
ln(x)^2= 2...
Find y' if y= ln( x^2 + y^2)
I thought this was just a regular natural log derivative combined with the chain rule.
So what I got was (2x + 2y)/ (x^2 + y^2)
But this wasn't the correct answer. So could someone help point out my mistake.
Thank you.
Homework Statement
Prove that the set of all subsets of the natural numbers is uncountable.
Homework Equations
All of the countability stuff - including Cantor's diagonal argument
The Attempt at a Solution
I think I have this one figured out, but I was wondering if somebody would...
I am trying to create esters from natural resins (Copal, amber, dammar, etc.). This is based on chemistry from the first half of the 20th century. The esterified resins were used in making varnishes, before the advent of acrylic and other synthetic resins.
To esterify the natural resins, I...