Base Definition and 586 Threads

This is just a fun question I thought of: If you take away all knowledge of base-10 being the most natural number system, something we were just taught to think, and you could decide what number system we use, what would you pick? What do you think would make the most sense? Personally, I think...

Homework Statement If A100 is some 3x3 matrix, find the base matrix A. 2. Relevant information Eigenvalues, diagonalization, etc. The Attempt at a Solution So far, I've been finding the eigenvalues and diagonalizing the matrix via A = P-1DP where D is the diagonal matrix and P is a matrix...

My teacher gave us an exercise for this week to modify a piece of code that already accepts decimal number and prints all the bases 2-36 we had to make that the output number for each base appear in right order, accept 0 and negative number, but I am stuck with the last part where it has to show...

I want to prove the formula of regular dodecahedron's volume. For this, I need to split the dodecahedron to 12 pentagonal pyramid with the same size. However, I don't know how to determine the height of those pentagonal pyramids. Any references I had encountered involving either golden ratio or...

Hey could anyone please explain how you go about drawing a reciprocal lattice? For example a 2d rectangular lattice to it's reciprocal form? Also... I don't know if this is correct but if you have a 2d rectangular lattice with lattice vectors L=n1a1 + n2a2 would the reciprocal lattice vectors...

Homework Statement Student mix four reagents together, thinking the solutions will neutralize each other. The solutions mixed together are 50.0mL of .1 M HCl, 100mL of .2 M of HNO3, 500mL of .01 M CaOH, 200mL of .1 M RbOH. Did the acids and bases exactly neutralize each other? If not, calculate...

I just noticed in reading Griffiths that he places the base of the infinite square well at a zero potential while he places the base of the finite square well at a negative potential -V_0, where V_0 is a positive, real number; is there any reason for this? I just started learning about them/am...

Quick basic question on how transistors work. Do they only work when a small current goes through the base, or would they function the same with a large current as well?

I understand that taking logs of a negative number isn't possible because no number to any power produces a negative number. But why not a negative base? Say, log-10(100) = 2. Rewritten, -102 = 100, which is accurate. You could suggest that you may as well just ignore the negative because -x2 =...

How many possible alleles are at a locus consisting of 3 base-pairs in a diploid? ugh, I am so confused... So, I guess a locus is just a spot for a gene, so the gene is also considered to consist of 3 bases. Gene: _ _ _ Each "_" could be either an A,T,C, or G. So there are 4 possibilities...

Homework Statement I found this problem online for extra practice for my AP Chem class. https://www.quia.com/files/quia/users/jpugteach/APChem/AP-Chem-Chapter-19-Graphs.pdf The problem in question is number 4. I do not understand how to solve it and why the answer D is correct. Homework...

Homework Statement Methyl red has the following structure [not listed here on this post] Ka = 5.0 * 10 E -5 It undergoes a color change from red to yellow as a solution gets more basic. Calculate an approximate pH range for which the methyl red is useful. What is the color change and the...

I know that if you have x states then you need log2(x) bits to encode them. For example a coin has 2 states and you need 1 bit which is log2(2). It also works for numbers between 0 and 1 for example if you halve the amount of states you need to add log2(1/2) bits which is -1. So what does...

Dear PF Forum, Actually I want to study how antioxidant can benefit for our health. But, my understanding in chemistry is very limited. Perhaps I have to go back and study pH, first. I have read many sources in the internet. And this is one of them...

Homework Statement A short paper 12-16 pages I'm also fairly new to this topic Homework EquationsThe Attempt at a Solution I tried to ecplain it's application using the Robertson walker mrttuc but it ended upmlooking too much like a physics psper:/

I am studying psychology and have always been awful at maths (I think it's because I don't have much working memory), I am coming at this as a complete beginner. It is relevant to the Information Processing model of psychology. _____ The book says: Imagine you throw a coin once.. once it lands...

Homework Statement [/B] NH3(aq) is a weak base with Kb = 1.8*10-5, Calculate [OH-] in a solution that is made by mixing togeather 500ml of 0.20M NH3(aq) and 500ml of 0.20M NH4CL(aq), what is the value of Ph?Homework Equations Henderson Hasselbalch: ph = Pka + log([conj.base/acid]) As well as...

Hey all! I have a silly doubt In acids and bases As you guys know The concentration of H+ ions For a weak acid Which does not undergo Complete dissociation Is given by mod H+=square root of Ka times C Where C is the initial concentration Of the acid And k is the ionization constant In the same...

Hello friends. I need help to write the function x^3 as a somatory using the Legendre polinomials as base. Something like: f(x)=\sum^{\infty}_{n=0}c_{n}P_{n}(x) Basically is to find the terms c_{n}. But, the problem is that Legendre polinomials does't form a orthonormal base: \langle...

If you took: VBase / ZBase does that give you IActual or IBase or what? Because it seemed to give me IActual. Cheers

Hi today the teacher showed us analyzing forces in a system he showed them on easy problems But at the end of the class he gave us this question to solve Its not homework because its way beyond what he taught The base moves without friction on surface So i want to find a3 and theta and a of 2...

Homework Statement Which side does the equilibrium favour? Homework Equations Equilibrium favours weak acid or weak base (I don't know why :frown:) The Attempt at a Solution Using the given pka values, since the reactant is the weaker acid, reactants are favoured. (Backward reaction is...

Hi can anyone help me with info on the cause & effects of using a large 4" vs small 2" base circle camshaft. I want to know if I can use less rocker ratio and what software is used to look at lobe profiles- example a .5 inch lift lobe with a 2 inch base circle and a 1.75 rocker ratio (.875 lift)...

Homework Statement How to find the time-base setting? Homework Equations None The Attempt at a Solution Firstly, I calculated the period of the revolution.. 3000 Rev -> 60s 1 Rev -> 0.02s Then, how to calculate the time base setting? Do we need to estimate which is the most suitable one...

Homework Statement Hello! Binary search requires O( log2(n) ) operations in the worst case. My math doesn't add up. I would be grateful for help. Homework Equations For example: Find number 8 in the set 1234578. The Attempt at a Solution The set contains n = 7 elements. 1) take the middle...

Hello all, was wondering if you fine chaps / ladies could help with a bit of algebra. Annoyed it's had to come to this but alas my algebra levels keep leading me astray. ## x + y = c ## ## x^2 + h^2 = a^2 ## ## y^2 + h^2 = b^2 ## I've been reading Measurements - Paul Lockhart (wish i picked...

Homework Statement An amino acid H2N-CHR-COOH e its as a dipolar ion: +H3N-CHR-COO-. In strongly acidic medium, it takes H+ to form conjugate acid +H3N-CHR-COOH 50ml solution of conjugate acid required 30ml of 0.1M NaOH to completely convert into dipolar ion. The pH of solution during titration...

Hi guys and gals, Here's a simple circuit mostly just an LED circuit with a Darlington pair. My question relates to the base current to the probe. If the probe is connected to an unearthed metal toaster (not plugged in), the LED glows briefly then goes out. If the probe is connected to the...

Hello. I'm now studying transistor amplifier circuit and I have some confusion of definition of amplifier classification. I thought common emitter means emitter side is grounded, although there is actually some elements between emitter and ground in practice. So I thought "common" means...

Hi all, I guess now I am at the different end, after having replied to many requests for info on books. I do not have access ( ha-ha) to a library, though I do have access to a bookstore. I am looking for an intermediate-to-advanced book in Database. I have covered the basics: Normalization...

Hi all, I need to find base length x which would support the pillar and wouldn't topple over (weight of 2.1kg on right hand side of pillar) Thanks in advance

Homework Statement You need to produce a buffer solution that has a pH of 5.70. You already have a solution that contains 0.0200 moles of acetic acid. Using the Henderson-Hasselbalch equation calculate the moles of sodium acetate needed to create a buffer with the desired pH? The Ka of acetic...

Homework Statement Mass m lays on the smooth triangle of mass M. what is the acceleration of M so that m will stay in place. Homework Equations Newton's second law: ##F=ma## The Attempt at a Solution $$\tan\alpha=\frac{ma}{mg}\;\rightarrow\; a=g\tan\alpha$$

Hello I want to know it we have common Emitter s parameters how can we extract s parameters of common base configuration?if there is no problem give me some examples in converting Thank you

Homework Statement I'm trying to derive the equations of motion and state space as well as the transfer function for a system which has two mass spring damper systems stacked on top of each other. The system is base excited. I attached a pic of the system Homework Equations - Sum of the...

Hello. Please look at the attached figure first, which is cut image from transistor section of HyperPhysics. In this circuit, I only need to know base current or base voltage, IB. In order to know this VB must be known but it is already given as 0.6 V. How this value is obtained? I don't think...

Hello. Let me think about the NPN transistor (Collector-Base-Emitter order). Here base-emitter voltage is forward-biased (The base is higher than the emitter in voltage.) thus current flow of majority carriers (Here they are electrons in N and holes in P) occurs from emitter to base. In next...

Hi guys, my name is ferdinand. I'm curious about HSAB, especially to predict where the reaction goes. Exp: HI + NaF >>> HF + NaI H is hard acid I IS soft base Na is hard acid F is hard base, and HF Is hard.hard NaI Is hard soft. The reaction will goes to right or left? And why? And since hard...

I have a small question regarding proposition 37 of the elements of Euclid. http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI37.html The only problem I got with the proof is the fact that we don't seem to prove that we do have parallelogram. We have a figure with 4 side and we know...

I am trying to get a better understaning of the pH of a solution containing a salt of a weak base and a salt of a weak acid. I know it depends on which equlibrium constant is greater but I am thinking more of what it is that actually happens. For example let say we have a solution containing...

Is it sensible to consider a base pi number system? Can one make an irrational number rational by defining it as the unit of a counting system? I don't know what constitutes an mathematically consistent 'number line' - this question might not make sense. I'm just thinking that if I use pi as...

Just some crazy talk... ...but I am curious if there may be testable expectations, at the end of the day, for quantization/discretization of classical entropies. If space-time geometry is made up of discrete spin foam, and 4d spacetime emerges from it's evolution, a fitness function based on...

Now, I am reading Carroll's http://arxiv.org/abs/gr-qc/9712019. On a page 88 he defines basic vectors, which are orthonormal (3.114) and basic vectors given by gradients of coordinate functions. Are these later basis vectors not obviously orthonormal?

I have been checking the BJTs on a car audio amplifier board with my DMM's diode test feature, and I need a little help understanding something I have been noticing: The base to emitter and base to collector voltage drops are present, and show an open circuit when the leads are reversed as they...

Homework Statement If log3(x-3)-log1/3(x+1) is expressed in terms of a logarithm with base 9, then it is equal to? Homework Equations logba=logca/logcb The Attempt at a Solution I know I need to get rid of the 1/2 by multiplying but can't remember how to apply it. log3(x-3)-log1/3...

What causes more damage to the eye? acid or base or both of them?? and why??

For certain system i have to control two magnets , to catch up when they are " on " , and the opposite , how i can do that ??

Hello, in a small scale project I need a way to get 7 outputs from 3 inputs, I have an idea how to do that using transistors but the cost adds up due to the high amount of transistors, it would simplify things space wise, and cost wise if I could eliminate the NOT gates, is there such a thing...

Homework Statement 25 cm3 of 1M NaOH added to an aspirin tablet. 25cm3 of distilled water also added. Mixture heated for 10 mins. Hydrolysed solution and washings transferred to a 250 cm3 conical flask and made up to the mark (250cm3). 25 cm3 of the hydrolysed solution is titrated against 0.1M...

We're attempting to measure the immunogenic affects of a particular molecule after subsequent acid and base treatments. As a first version, we're keeping it simple. After all treatment and neutralization, we wind up with 400 uL 0.2 N HCl + 400 uL 0.2 N NaOH + 200 uL H2O. We are getting massive...