Pure Definition and 499 Threads

what are the current open problems in logic? in model theory, proof theory and philosophical logic? and what are the trends in research? what do researchers pay more attention to? p.s is there any book which gives an outline on the open problems in logic?

hi, a poll has been going on about our favourite fields in mathematics. i decided to run a poll on broader topics, namely, pure mathematics and applied mathematics. which one do you guys prefer?

say i want to work at an accelerator, smashing some atoms and whatnot - as an undergrad i'd like to do a math and physics double major, should i go with applied math or stick to pure mathematics? ...or just go to one of those beam schools?

Hi, When modelling something such as a capacitor using a method like Boundary Element Analysis (BEM) then this may lead you to a visual model i.e it shows you the charge across the plates or the density of the fringing field, rather than a method which uses a pure mathematics such as Gauss'...

I'm sure a lot of folk have had to make tough decisions when faced to decide what they want to do for the rest of their lives. It seems I have 2 years to decide what I want to do for a living. I've narrowed it down to either studying pure physics, or aerospace engineering. I love the idea of...

I have bought a stump remover for KNO3 and it has the numbers 13-0-44, which i have heard is pretty good. I was just wondering, how pure is it? and also if i could remove those impurities. I have tried making BP with it and it didn't do much. lots of excess sulfur and charcoal was left over, so...

hey guys, iam an engineering student taking a year off (after my first year) and i was trying to teach myself linear algebra and set theory from a mathematical point of view ( the way that linear is taught to engineers is frankly an insult to the subject) and i find that i keep...

What colour is fire if your burning whatever in a room that is pure O2. rather then in normal air at a campfire which has a lot of other chemicals; like nitrogen. and does it follow that one experiment where say hydrogen burns as only 1 frequency of the spectrum

This may be better suited for the nuclear engineering forum, so feel free to move it. In decay processes that involve beta decay (or positron decay), there are pure beta emitters and mixed beta/gamma emitters. What determines whether a specific nuclide is just a pure emitter as opposed to a mixed?

What is a pure state and a mixed state?

We all know that it is possible to do mathematics for no practical purposes at all such finding a proof in number theory or exotic geometrical mathematics. The goal is to find internal relationship within the framework. But consider a normal (social/culture) language such as English. Is it...

have anyone read "A Course on Pure Mathematics" by G. H. Hardy? is it a good book?

A simulation I'm running takes the density as an input when preparing the system and I'd prefer not to have to measure it experimentally so it would be really useful if this was tabulated somewhere. I was looking in the Handbook of Chemistry and Physics, but L-Proline has no entry in it's...

i am now studying pure maths in uni. is it possible for someone to tell me wht kind of jobs would pure maths lead to? i believe it would be some jobs tht requires analytical and theorectical skill. bt is tht any exact examples pleasE?

X_1=\frac{n_1}{n_1+n_2}\implies n_2=\frac{n_1-X_1n_1}{X_1} where n1 is the moles of solvent and n2 is the moles of solute. 22.98=X_1\left(23.76\right)\implies X_1=.9672 and 1000 g of water is equal to 55.49 mol (n1), so plugging this all in gives: n_2=1.88\text{mol} which would be...

Theoretical Physics in the end is simply a set of numbers (mass, impulse, energy etc.) related to another set through a series of mathematical operations. Has it ever been tried to just set all the physical quantities of elementary particles in an n-dimensional space where each dimension is the...

is anything in our beautiful univerese 'purely' random? David Suzuki states in 'The Sacred Balance' that because we cannot know with certanty the position of a particle we therefore have no hope in understanding the univerese as we do not understand the most elementary levels. Anyway, i...

physics + pure math or applied math? Hi. What is the most ideal combination of majors? 1) theoretical physics + pure math OR 2) theo. physics + applied math?? thanks a lot.

My primary major is Physics, and my secondary major is Pure Mathematics (still a sophomore). However, I have started to develop an interest towards CS; in fact, my research involves programming. So, which of the two (Pure or CS Mathematics) compliments Physics better? How about job...

Can anyone name any good or famous pure mathemaicians who does not believe in mathematics existing in a world indepedent of humans? In other words, are there any pure mathematicians who believe that the rules of mathematics are purely made up by humans, although there is many mathematical...

Hi there, I was looking at a problem, where the state (a pure state) of a two-particle system was given as: | \Psi> = A_{11}| a_1 b_1 > + A_{12} | a_1 b_2> + A_{21} | a_2 b_1> + A_{22} | a_2 b_2> In the system particle a can only be in the states a_1 or a_2 and particle b in b_1 or...

Is IPTV pure hype?? I was reading some articles on the "future" of TVIP, that is TV over the internet. Is this stuff for real ? How on Earth can a tv signal be broadcast over the internet? I think this is a case of really PURE HYPE! A tv signal needs at least 4MHZ bandwidth so if 1000 people...

Ques: If 6g of pure carbon is completely burned, what mass of carbon must be burned to furnish 39.3 kj of heat? For this ques, the equation would be C + O_2 \xrightarrow~ C O_2 well, iam stuck after this

Some say pure gold oxidizes,but it takes thousands of years and even billions of years to completely oxidize on normal/room temperature i natural envirornments. 1.So,does pure gold in water(normal drinking and salt water) oxidize at least on molecular level i normal/room temperature? Because...

Now imagine the Saturn is diminished and can be put into a PURE water container .. Then Is that the Saturn is immersed half of itself till the centre of the Saturn ?? (Since Saturn also has gravity itself )

Hey Can someone explain to me how pure hcl is covalent, and what happens when it is dissolved in water? I know it conducts electricity. But I am a bit lost

What is pure energy? Is it equal to radiant energy? What does that E in E=mc^2 stand for?

Let me begin by stating that I am a very very new reader of Quantum Mechanics. I have been reading lay-person versions of all these exciting ideas. Mine is this. I think I understand the bit about even observation changes the subject, and I got to thinking about the big bang and how I read that...

If antimatter and matter become pure energy when they combine and an electron has an antiparticle (a positron) what is the energy that comes from their combination? I thought electrons were made of energy. Thanks

Pure Objectivity... possible or impossible? Sorry, but this post will be unmercifully long, so if you have a short attention span, you may want to skip this one. :wink: Last Thurs., I asked my Logic professor about a certain fascinating property of PL (it either stands for Propositional...

im just wondering if there are such excellent grad students or soemone who already did accomplish getting a phd degree in pure maths and a phd in theoretical physics? (or are you familiar to such people?). i think this is insane even to think about it, let alone really doing it...

Working on Griffiths 3.33. I'm supposed to show that the Electric Field of a pure dipole can be written in the following coordinate free form: \vec{E}(\vec{r}) = \frac{1}{4 \pi \epsilon_0 r^3} [3(\vec{p} \cdot \hat{r})\hat{r} - \vec{p}] Where p is the dipole. I know that the potential...

can pure molten hydrochloric acid conduct electricity?

Can we (in principle) put a cat into a pure quantum state, without killing the cat?

:cry: Does anyone know the resistivity of pure carbon??I’m doing a coursework n am stuck :cry: ..please help…loadsa lovin,G :blushing:

Hello, I have a few questions about this interferometer setup, see attached picture. The beamsplitters are 50/50 and the setup is symmetric. initial |i> first beamsplitter, where U is unitary and represents the beamsplitter. U|i> = 1/sqrt(2)( |u> + exp(ix)*|d> ) second beamsplitter, A...

is pure water conductor of electricity or an insulator.why? pure water has H-O bonding and as a result it has net dipole moment which will be helpfull for conduction. please ans as iam dying of curiosity. iam thankfull for ur ans.kindly go for it! :confused:

if i play two pure tones together, i create a beat frequency. if i increase, any of the two pure tones, what happens to the beat frequency? heres my logic as to why the beat frequency can go either way: Fb = F1-F2, so if you increase F1 it increases and the opposite if you increase F2...

I am trying to get into an ivy league school and I'm trying to decide what is the best approach. I eventually would like to receive a phd in Mathematics and teach at the University level. My questions are: 1. What would increase my chances more of getting into an ivy league phd math program...

I don't know how it is like in the US, but it seems that here in Singapore, it is the case, AFAIK. Particle accelerators receive limited funding even in places like the states, and of course, here in Singapore we have yet to think about building one, let alone get around to doing it. How can...

Hi People, Could someone please give me a hand with this question : Explain why a mixture of pure nitric acid and pure hydrochloric (VII) acid (HClO4) contains H2NO3(+) ions and ClO4(-) ions. Thanks a lot, Joe

Ok, i love free diving, have all my life. But currently I'm starting te reach my max bottom time. I was wondering if i could use pure O2 at the surface to boost the oxigen level in my blood/lungs in order to extend my bottom time. The thing I'm worried about before attempting is the fact...

How true is the claim that everything in the whole universe can be explained by Physics and Physics alone? How realistic is this claim? Does our ability to mathematically describe physical things in spacetime give us sufficient grounds to admit or hold this claim? Or is there more to physical...

What does pure mathematics describe exactly? What are its laws based on? Recall the psi beta function. It was used for purely mathematical persuits and it was believed it did not pertain to our physical reality. In 1969, Venetziano observed a relationship between the behavior of particles (or...

I've always been of the opinion that mathematicians, especially pure mathematicians, are the most intelligent segment of our society, and also that pure mathematicians are born rather than made. Anyone can improve their mathematical skills and knowledge, but blood, sweat and tears are not enough...

Its been a rough week I have posted 3 times. A digital thermometer uses pure silicon thermistor as its sensing element. When it is used to measure the temp of a sick child the element drops to 99.06% of its normal value at standard body temp of 37 degrees. What is the temp of the sick child...

How to prove that bacteria cause stomach ulcers: Excerpt from Alberts et al. Molecular Biology of the Cell: this won't be my way of writing up a research plan..

I was reading that ethanol can only be purified up to something like 95% by distillation and further purification calls for CaO. Why is this? Is CaO a drying agent? Why is it that you can't separate water completely from ethanol? Is it just not feasible without CaO, like the tiny amount of...

I find this exceptionally ironic! I read an article in the Sunday newspaper which commented on the War in Iraq and the transistional government. It said that on eof the major parties in Iraq is the communist party. Also, it's the only party with widespread support across religions...