What is Base: Definition and 585 Discussions

Homework Statement 1. Convert (0.333...)4to base 10. 2. Convert (0.333...)10to base 4. Homework Equations For question 1: I see this can be written as (3/4+3/42+3/43...)10 Can I just use the geometric formula and arrive at the answer 12/3=4 ? But that doesn't match...

Homework Statement Solving for base angles in a congruent triangle One of the base angles in a congruent triangle is 3x+5 The other base angle is unknown The remaining angle is x+16. Homework Equations See attached PDF The Attempt at a Solution Because two base angles in a...

I'm having trouble understanding the following reactions we did in lab and I am not sure our data is very good. CuSO4 + NaOH yields a blue precipitate. Which I understand is Cu(OH)2. I get this. Next we add NH3 to the solution above and nothing obvious changes. I think the precipitate...

Hi, I am new here and I don't know if anyone is going to answer to this post, but if you do so thank you very much. I have been frowning on these kind of problems! I have been trying to solve some exercices from my homeworks. However, I don't know if I am doing them correctly. Here is one...

I have just started diving into tensor analysis. To be honest, I didn't know whether to post this question in the vector analysis forum or this one. I have looked at a few books on the subject and scoured the internet, but I can't seem to find anything that answers this question. Or, maybe I...

Homework Statement Convert(43.3)7to base 8?using no more than one octal digit to the right of the radix point.Truncate any remainder by chopping excess digits.Use an ordinary unsigned octal representation. Homework Equations Base8,decimal. The Attempt at a Solution (43.3）7...

Homework Statement Hey guys, So I have the following permutations, which are a subgroup of S3: σ_{1}=(1)(2)(3), σ_{5}=(1,2,3), σ_{6}=(1,3,2) This is isomorphic to Z3, which can be written as {1,ω,ω^{2}} Next, we have the basis for the subgroup of S3: e_{i}=e_{1},e_{2},e_{3} And we also have...

can the direction of flow of current be used to define binary circuits. can we consider a particular direction of flow as +1 and it's opposite as -1 and no current as zero?

"A cube of wood of side 4cm floats in fresh water with 1:4 showing above the surface. Calculate a) the water pressure on the base of the cube and b) the density of the wood" All I can work out is that the density of fresh water is 1000kgm^-3 and the area of the base is 1.6 x 10^-5 m...

Homework Statement Find all natural numbers such that 2n ≥ (1+n)2, and prove your answer. 2. The attempt at a solution I can see this is true for n=0 and n>5. I try to prove this using induction as follows 20 =1≥ 1=(1+0)2 base case: 26 =64≥ 49=(1+6)2 so it is true for n=6 and suppose 2n...

Base Quantities are those quantities on the basics of which other quantities can be expressed. Ampere is also a base quantity.But the unit of ampere is C/s.This shows that ampere depends on time and coulomb.It make sense to consider ampere as a derived unit and coulomb as base unit.But we...

The thing is that often in the problems on quantum mechanics I've found that an operator is given, but not the base on which it is represented. I'll give an especific example in a moment. So then the problem asks me to find the eigenvalues and eigenvectors for a given operator and to express it...

If you are having difficulty figuring out the percentage of an item and don't have a calculator, you may utilize this trick (which i still don't know how it came to be in my mind). Let: ##a## be a fractional number (percentage) and ##b## a whole number. If you make ##a## be a whole number...

I'm wondering if Pi is a rational number in any other base besides base Pi. Also is there a formula or function to figure this out? I'm not what the relevance would be if we could find one since the integers might be irrational if we did but I am just curious if indeed Pi is only a rational in...

There is something I'm struggling with and I can't seem to find the problem. We have the Z spinbase with: z = (1/sqrt(2))² <BRA|*(|s_z,+> + |s_z,->) which gives following z matrix: 1 0 0 1 and we have for X: |s_x, +> = 1/sqrt(2) |s_z,+> + |s_z,->) |s_x, -> = 1/sqrt(2)...

Hello, In the image below, we see the result of the Zeeman and Paschen-Back effect in a magnetic field which we worked out, together with the exact result, described in different basesets (coupled J,mj and uncoupled mlms). I understand that each effect can be better described in a...

Essentially, I have to show that where {e_1,...,e_n} forms the basis of L, no family of vectors {e'_1 ,..., e'_m} with m>n can serve as the basis of L. The book shows this by saying there exists a 0 vector such that 0 = \sum_{i=1}^{m}x_ie'_i, where not all x_i vanish. I wanted to show it by...

Homework Statement In my organic chemistry lab we are synthesizing Benzocaine by utilizing .25g of p-aminobenzoic acid, 2.5 ml ethanol, and add .3 ml H2SO4 together. Once this solution refluxes we add 10% K2CO3 dropwise and a precipitate will form. Lots of details, but all the matters is...

Homework Statement Find The values of "Find the values of \upsilon for which the homogeneous system (A - \upsilon I)X = 0 has non trivial solution e for these values of \upsilon, find a base for the solution space from the system. Which A being = \begin{pmatrix} 0 & 0 & 1 \\ 1 & 0 & -3 \\ 0...

Homework Statement Problem number 6a in the picture. Homework Equations Transistor: Ic = βIb Ic = αIe Ic = Is*e^(Vbe/nVt) OP-Amp: Vo = Acl*Vi Acl = 1 + (Rf/Ri) The Attempt at a Solution I tried to solve but just couldn't understand the behavior the transistor.

Homework Statement The problem statement, given solutions, and my small signal drawing are attached Homework Equations Rout, Rin, Av The Attempt at a Solution To begin with, our text seems to alternate between using approximate equations and exact derived equations without stating...

Homework Statement Convert (1G8A.23) base 17 into it's equivalent in base 15. Homework Equations The Attempt at a Solution How would I go about doing this? I haven't worked with letters yet so the only way I would know of is dividing 1G8A individually by the target base and...

Hey guys, I'm currently working on a chemistry setup and we're building some protocols. We decided that every communication on the protocol between two devices will be in SI units. However, for a data descriptor I plan to use 4 bits per standard SI unit. This means that units for variables can...

Hi, I am trying to think of a way to attach my water baffle/cold trap to the bottom of my base plate. The baffle is attached to a diffusion pump, meaning that I need a good seal between the plate and the baffle. I was thinking about drilling holes in the baffle and half way through the base...

Hi, I have a common base amplifier circuit but I am not sure of the equation to use to calculate the voltage gain? Could someone help me please

I am dealing with sets of problems that go as such: "How many n-cent postages can be formed from x and y cent stamps" For instance, I am doing a problem where x and y are 4 and 11 respectively. I don't understand how to determine a base case. I know that I must proof P(k + 1) for all P(i)...

Consider a regular hexagon ABCDEF (in order counterclockwise). Determine the coordinates of AB, AE AND AF (->) in the base (AC, AD) (->) AB(->)=(_____,_____) AE(->)=(_____,_____) AF(->)=(_____,_____) what I mean with exemple AF(->) positive way from A to F. I have draw a it but I got problem...

This question is related to the question that I have asked here, although the equation is ever so slightly different: http://www.mathhelpboards.com/f15/solving-specific-variable-when-solving-recurrence-equation-3804/ I have a recurrence equation of the form $$ T(n) = 0, n = 0, n = 1\\ T(n) =...

What qualifies for being called a fundamental quantity and having its own fundamental unit? For example length is considered fundamental quantity and it has a unit of meter. But Area isn't considered fundamental. Is it because we know area can be CALCULATED by multiplying the length of the two...

So... My transistor does the switching job when I put my finger on its base. I know that NPN transistor are activated with positive charge, so... What happens between transistor, my finger and the earth? What happens to the charge? I don't know much about this, I would like an introduction...

Homework Statement The diagram simulates a vehicle driving on a rough road. Let v=constant. Find an equation for the response z(t) as well as the force transmitted to the vehicle http://imgur.com/GUQcHx7Homework Equations x'' + 2ζω(x'-x_b') + ω^2(x-x_b) = 0 x_b(t) = X(iω)*e^(iωt) The Attempt...

Hi, Is is correct to say that the logarithm of base 2 of a number x, is the same thing as the square root of a number x?

What is the Difference between Substrate & Base material in Printed Circuit Board? What is the difference between Substrate material in PCB and in semiconductor [VLSI] ?Is the VLSI substrate Cu plate? Is the substrate of VLSI a fibre glass or it is something else? What is the base...

Hi! I try to figure out the probability (sure as function of parameter time) of transition particle in the hole from the first excitation state to the base state in an infinity potential hole. Because the eigenfuncion of particle there are orthogonal, the probability looks like zero -...

Homework Statement 5x2-50x+125 (equation 1) Solutions are x=5 and x=8 (x-5)(x-8) = x2-13x+40 (equation 2) What is the base of the number system?? Homework Equations The Attempt at a Solution Compare coefficients 1a=5b -13a=-50b 40a=125b The base must be greater than 8...

I have been working on coding a program that works for all bases, including non-integers. I have been checking it against wolframalpha, and so far, my code works for a decent amount of bases, but at the same time has trouble with others... For instance it seems to have a tolerance in the...

hi, why electric current is a SI base unit - why not couloumb?

Homework Statement Determine the pH at the equivalence point after 20.00mL of a 3.75 M NaF(aq) solution is titrated with 3.25 M HI(aq) Homework Equations ##k_a = \frac{[A^-][H^+]}{[HA]}## The Attempt at a Solution The first thing I noted was that NaF ##\rightarrow## Na+(aq) +...

I took a course in computer networking and the prof claimed that in elementary school they will soon start teaching base 2 - i.e. binary instead of decimal. I find this hard to believe as, it's my understanding, that the reason base 10 was adopted is because we have 10 fingers to count with.

Homework Statement Find x that satisfies: log11 (x3 + x2 - 20x) = log5 (x3 + x2 - 20x) Homework Equations logarithm The Attempt at a Solution x3 + x2 - 20x = 1 x3 + x2 - 20x - 1 = 0 Then stuck...

Homework Statement How to compute the base 3 decimal expansion of 1/4? Homework Equations The Attempt at a Solution I tried sums of geometric sequences,but i need a clue for the computation.

A student titrated a .4630g of unknown monoprotic acid with .1060M NaOH. The equivalance point volume is 28.70mL. a) Calculate the number of moles of NaOH used. Im pretty sure I got this one I did .1060 M X .02870L to equal 3.04E-3 mol b)how many equivalents of unknown acid were titrated...

let log_{x}y ,as a function of two variable, be defined from R^{+}_{2} to R then is it continuous at (1,1) ? if so what's the image ? here the domain is D={ (x,y)/ x ε R^{+} , y\inR^{+} }. like detailed discussion :).

Homework Statement I need to solve 0 = 5x2 - 50x + 125 with solutions x = 5, x = 8. Homework Equations Referencing this thread I arrived at the equation (x - 5)(x - 8) = 5x2 - 50x + 125. Expanding x2 - 13x + 40 = 5x2 - 50x + 125 The Attempt at a Solution I tried to simply...

I am working independently from the book Precalculus Mathematics in a Nutshell by George F. Simmons. Although the book is fairly small, many of the problems are quite challenging, at least for me. I am stuck on this problem: "The height of a cone is h. A plane parallel to the base intersects...

Homework Statement What are the maximum and minimum values that can be represented using a 7s complement representation in base 7, using a 5 digit number? Homework Equations The Attempt at a Solution Would you divide the numbers so that any number starting with an odd digit is...

Homework Statement A strong base cane be assumed to be fully ionised in dilute solution. Use the Kw value to calculate the hydrogen ion concentration and hence the pH of a 0.15 M solution of potassium hydroxide, KOH.Homework Equations The Attempt at a Solution Problem is, I don't know where to...

Dear Probability subforum, I have hard time thinking through how 11% is calculated. Anyone have any ideas? From "Thinking fast and slow" Kahneman. p 154 "...If you believe 3% of graduate students are enrolled in computer science (the base rate), and you also believe that the description of...

Hi all. I am working on a problem in which I want to model the collision of a moving object, with mass m1, with a stationary base. I have calculated the velocity of the moving object at the instant of collision. I want to model this collision using a mass spring system with damping. My...

Homework Statement Draw the position of the atoms in the two neighboring planes of the GaAs crystal perpendicular to vector [010]. Find the type of the lattice and the basis of 2D crystal which is made by singling out those two neighboring layers from 3D lattice. Homework Equations...