Properties Definition and 1000 Threads

1.Prove that f'(x) is strictly decreasing at (- ##\infty##,a) and strictly increasing at (a,##\infty##). 2.Prove that f'(x) has exactly two roots. I tried to find f''(x)=0, but I'm not able to solve the equation. What should I do?

Hi, A straight question here, no complicated quantum theory equations for this, I just want to know a piece of data. What is the saturation flux of silver steel? It has a fraction of a percent of chromium in it, so was wondering if it was less than carbon steel's ~1.6T?

I found a few research papers with regards to a special type of microsized/nano particles mixed within an oil creating a special sort of ferrofluid or liquid which among other things has the property of extremely (gigantic) high dielectric constant. Now such a fluid would be ideal for a variable...

Summary: I require assistance in selecting a suitable radiator for a submersion cooing system Hello, I am designing a series of chassis's and cooling rigs that will house ant miner s-9 units along side their apw3 power supplies flooded with mineral oil within the housing. Each unit...

i have some doubts from chapter 1 of the book Mathematical methods for physics and engineering. i have attached 2 screenshots to exactly point my doubts. in the first screenshot...could you tell me why exactly the 3 values of f(x) are equal. the first is the very definition of polynomials...but...

We have a surface function z = f(x,y) ; f(x,y) only contains dimensionless constants, and is itself dimensionless. If we convert it to cylindrical co-ordinates, z = f(r,θ) , does z only depend on θ? Meaning we can remove r from the equation, literally.

Is it possible to infer particle properties from 2 sources diffraction with no slit/slits involved? Some explanations of experiments i can find, if i understand them correctly at all, relate to the possibility of concluding particle momentum, from absorption lines, when emanating from a single...

In the 1970s, Ni formulated an alternative theory of gravity (The Astrophysical Journal {\bf 176}, 769 (passage on pages 791 f); see also Misner-Thorne-Wheeler, page 1070). Though in conflict with observation, I am interested in its fundamental properties. Ni has a scalar ##\Phi## as the...

Which properties of metric tensor are invariant of basevectors transforms? I know that metric tensor depends of basevectors, but are there properties of metric tensor, that are basevector invariant and describe space itself?

My textbook explained that it would be hard to see the wavelength properties of a tennis ball because we would have to find a very tiny slit in which to pass the tennis ball through. The wavelength of the tennis ball can be calculated using debroglie formula: wavelength = h/p I was wondering if...

It is often said that the mechanical properties of metals are mostly due to their free electrons. I'm talking about malleability, ductility and hardness. So, when they suffer a superconductive transition, I expect a drastic change in their mechanical properties, but I haven't found anything on...

Hi, my first post. I hope some one can help. I work for a manufacturer and we make a particular item from 304 stainless. We have two parts we put together and then stamp (rivet) to hold in place. When we perform a 48 hour salt spray we occasionally find the there are small 'rust or brown'...

Evening all, im hoping somebody can help or point me in the right direction. We have tested these two laminates, one tensile and other three point bend test. The (0/90) has a higher uts, elastic modules, and flexure strength. (0/+45/-45/90) has a higher flexural modulus. Both roughly same...

Homework Statement HiI am following this proof attached and am just stuck on the bit that says: ‘since ##\Omega## is a group it follows that ##|z-\omega|<2\epsilon ## contains..’Tbh, I have little knowledge on groups , it’s not a subject I have really studied in any of my classes-so the only...

Hi, I'm trying to find a database in which I could enter a chemical formula and then locate a table of physical properties of that compound (or references). For example, whether the material exhibits magnetism, superconductivity, it's crystal structure, curie temperatures, conductivity, or...

I am reading a chapter section on Ordered Field that starts off with the additive and multiplicative properties: To my untrained eyes, they do not mean anything at all. Could somebody therefore give an intuitive significance of the two properties, perhaps with examples - please. Are they about...

I had heard an opinion from my high school teacher, but I can't understand?? "An experimental record of a French scientist. He heats the diamond and sublimates it. After cooling, it turns back to solid barbecue carbon. In this case, although there is a physical transition, the substance seems...

Suppose that we have a function f(x) such that f(ab) = f(a)+f(b) for all rational numbers a and b. (a) Show that f(1) = 0. (b) Show that f(1/a) = -f(a). (c) Show that f(a/b) = f(a) - f(b). (d) Show that f(an) = nf(a) for every positive integer a. For (a), if ab = 1 then a = 1/b and b = 1/a. Not...

Sorry for all the questions. Reviewing for my midterm next week. Fun fun. If someone could take a look at my proof for (a) and help me out with (b) that'd be awesome! (a) Let $\Delta$ be a partition of $[a, b]$ that is a refinement of partition $\Delta'$. For a real-value function $f$ on $[a...

I am having a little trouble in understanding a few points of colligative properties. Any help will be appreciated. First, let's consider RLVP. We know that addition of a non-volatile solute decreases the vapor pressure of a pure volatile solvent. However, I am getting confused between the...

DiNitrogen is very unreactive due to the tripple bond it has, but what happens if it heated to very high temperature and bonds are broken? does it start behaving as a strong oxidiser. I could not find iinformation on at which temperature this happens but let's assume 3500K in a Tunston reactor...

Homework Statement (This is part of a problem from Schwarz book on QFT). 1. Show that a propagator only has an imaginary part if it goes on-shell. Explicitly, show that $$Im(M)=-\pi\delta(p^2-m^2)$$ when $$iM=\frac{i}{p^2-m^2+i\epsilon}$$ 2. Loops of particles can produce effective...

I am reading Micheal Searcoid's book: "Elements of Abstract Analysis" ... ... I am currently focused on understanding Chapter 1: Sets ... and in particular Section 1.4 Ordinals ... I need some help in fully understanding Theorem 1.4.3 ... Theorem 1.4.3 reads as follows: In the above proof by...

How can (1) I prove that there is only one bisector of a angle to only one specific angle and (2)There is only a specific angle with only one bisector of it.

I am reading Micheal Searcoid's book: "Elements of Abstract Analysis" ... ... I am currently focused on understanding Chapter 1: Sets ... and in particular Section 1.4 Ordinals ... I need some help in fully understanding Theorem 1.4.3 ... Theorem 1.4.3 reads as follows: In the above proof...

Hello I have a question if it possible, Let X a tangantial vector field of a riemannian manifolds M, and f a smooth function define on M. Is it true that X(exp-f)=-exp(-f).X(f) And div( exp(-f).X)=exp(-f)〈gradf, X〉+exp(-f)div(X)? Thank you

Is the notion of emergent property one that is useful within physics proper?

Homework Statement If ## I_n = \int_0^\frac {\pi}{4} \sec^n x dx## then find ## I_{10} - \frac {8}{9} I_8## 2. The attempt at a solution this should be solvable by reduction formulae but since it'd be longer I wanted to know if there was a way to do it using mostly properties of indefinite...

Homework Statement evaluate the following definite integral with limits 0 to 1## ∫log(sin(πx/2)) dx ## 2. The attempt at a solution I used ##∫f(x) = ∫f(a+b-x)## to get ## I=∫log(cos(πx/2))## with the same limits. Adding them and using ##log(m)+log(n)=log(mn)## and ##2sinxcosx=sin2x## I got...

Mentor note: Member warned that an attempt must be shown. 1. Homework Statement This question is from book Afken Weber, Mathematics for Physicist. An operator ##T(t + ε,t)## describes the change in the wave function from t to t + ##\epsilon## . For ##\epsilon## real and small enough so that...

I'm wondering what properties of Dark Matter are known for certain. Such as: How much does it collide with itself, and with ordinary matter? What does ##\sigma/m\le 7cm^2/g## mean (and why is the estimate rising in more recent studies)? How does it compare with ordinary matter, e.g. liquid...

Dear All, I don't have well background on material science. I would like to measure heterogeneity of a species (shrimp). How can I do it easily? Sincerely

Do the laws of thermodynamics basically establish its properties? I got to thinking, and it seems that the main purpose of the laws of thermodynamics is to establish that the thermodynamic properties. 0th & 3rd - establish Termperature as a valid property via ability to have equality & scale...

Hi everyone. I want to build beautiful objects in a computer - object means something which has shape and behavior. I feel comfortable in writing down behavior of an object but I am struggling with writing shape of an object. A Table: Wave-forms: Is it possible to build any shape and any...

Homework Statement [/B] (a) How are the following properties of Iron affected when carbon is alloyed with it?Illustrate your answer with reference to the microstructures of steel. o Hardness o Strength o Ductility The Attempt at a Solution I've looked at this question a few times and...

I have some questions about space, inertia and frame-dragging that I can’t find anywhere on the internet. The papers that I have found that deal with the subject are often couched in advanced mathematics, so that I can’t get an intuitive grasp of the phenomenon. I would appreciate if...

Hi I am writing a short story about wormholes being used as a plot device. I know wormholes have no stable solutions unless you put some form of exotic matter or other means of stabilizing the geometry. I assume that I have a wormhole of any size which is stable when other matter comes near it...

I Had been given an assignment on electronic properties of materials in reduced dimension as mentioned above so I have been given another option to choose whether it to be a theoretical approach or experimental approach which one should I choose.

Do you know any website where I can find chemical and physical properties of common substance (heat capacity, enthalpy of formation, boiling point ecc...)? Thanks Ric

How can I calculate thermodynamic property like entropy and enthalpy of 70% steam and 30% air mixture ?( at about 90 degree Celsius and 10 MPa)

Homework Statement Determine all two time differentiable functions ##f: \mathbb R \rightarrow \mathbb R## that have the following properties: ##f'' = f, f(0) = 0,## and ##f'(0)=1## The Attempt at a Solution I've tried sinx, cosx, e^x, ln and linear combinations of them but I haven't found...

Depleted uranium is often used for applications in which high density is valued, such as counterweights, tank armor, and armor-piercing ammunition. Obviously there are going to be some differences between depleted uranium (defined as having 0.3% or less U-235) and natural uranium (averaging...

Hi, So far I understand that when two particles are entangled measuring the state will provide the same result for both particles. But what I can't figure out: a particle has multiple properties like spin and momentum etc, are all these properties the same (or opposite), or only the one...

I have to make a part that clamps into the inside of the end of a scaffolding tube. I’m thinking of two disk of metal with a disk of rubber sandwiched between and when inside the tube you tighten the bolts pulling the two disks together and squeezing/expanding the rubber so it wedges it’s self...

(There is a better formatted word version of all of this in the attachments) Hi I was trying to solve some problems in the website AoSP when I came across this problem https://artofproblemsolving.com/wiki/index.php?title=1990_AHSME_Problems/Problem_8 which made me question few things in my...

Hello, could you please help me regarding this question about a certain map (application). Homework Statement Demonstrate if A1 ⊂ A2 →ƒ(A1) ⊂ ƒ(A2) 2. Homework Equations ƒ:A→B is a map A1, A2⊂ A The Attempt at a Solution first assumed that (A1∪A2)⊆A ⇒ (ƒ(A1) ∪ ƒ(A2))⊆ ƒ(A) then if A1 ⊂ A2 ∴...

Hi, are there any models known in QM where the wavefunctions do not have to be infinitely differentiable, and thus can exist in other spaces than the Hilbert space? I assume Banach spaces allow elements that are not infinitely differentiable as subsets. Can therefore certain phenomena in QM be...

Hello! I see this Steam table: It shows Vg but not Vf. It mentions some equations at the bottom. Does anyone know how much is Vf for 0.1bar?

Hi, in QM literature the inadmissible solutions to the Schrödinger eqn are often , if not always, quoted in the text as "inadmissible", because they are discontinuous, not-single valued, not square integrable and not infinitely differentiable. However in a discussion with Dr Du yesterday...

Hi. I’m a PhD student at University of Toronto, in philosophy of physics. I have a number of questions which are quite fundamental: just trying to get everything clear in my head in the most succinct way possible, so I’m sorry if the questions seem remedial. First question: what is the...