Bases Definition and 294 Threads

What is the difference, if any, between frame fields and coordinate bases?

Hi all. So I'm a bit confused about finding a basis of generalized eigenvectors for an operator that is not diagonalizable. I have some "steps" in mind, but maybe someone can help me out here: 1) Find the eigenvalues of the matrix/operator 2) Find the eigenspaces corresponding to each...

Are these two sets: A = {(0,2,2)^T, (1,0,1)^T, (1,2,1)^T} B= {(1,2,0)^T, (2,0,1)^T, (2,2,0)^T} Bases of V3(R) I have found equations that show that they span V3(R) And that both set are linearly independant. So am I right in saying that they are both bases of V3(R). Cheers Ash

Whilst trying to refresh myself on what a dual space of a vector space is I have confused myself slightly regarding conventions. (I am only bothered about finite dimensional vector spaces.) I know what a vector space, a dual space and a basis of a vector space are but dual bases: I seem...

im looking at some review problems my teacher gave me today, and i can pretty much do most of them. however, there is this one i really have no idea what to do. Its a 2 part problem. 1a.What is the pH of a 1000 ml of a 0.1 M acetic acid solution, given pKa = 4.8? 1b. what is the pH of...

Homework Statement I'm given a subspace in F^5 (not sure how to note that online) and asked to find a basis and dimension for it. I know it should be really easy, but ... Homework Equations We're given subspace W1 = {a1,a2,a3,a4,a5) in F^5: a1-a3-a4=0} . We also know from linear...

Homework Statement find the pH of: 100mL x .20M HOAc + 100mL x.10M Ba(OH)2 The Attempt at a Solution 100x.2 = 20mmol HOAc 100x.1 = 10mmol Ba(OH)2 20-10=10 10/200=.05M pOH = -log(.05) = 1.3 pH=14-1.3=12.7 Is this correct?

Anyone clever with bronsted acids and bases? I'm pretty new in chemistry, but I'm trying to learn. Right now I'm suppose to classify some species as either bronsted acids or bases, or even both. For example 1. Water 2. OH- 3. NH4+ 4. HCN 5. HBr 6. NH3 Hope someone can help...

I'm having trouble understanding bases outside of R^n; I've got a handle on those I think. Here are some examples: 13. In C(-Pi,Pi), find the dimension of the subspace spanned by 1, cos(2x), and cos^2(x). 14. Find the dimension of the subspace of P3 spanned by x, x-1 , x^2+1, x^2-1...

I am a little stuck on this question : Solution A contains n moles of a weak acid HX. The addition of some sodium hydroxide to A neutralises one third of the HX present to produce Solution B. In terms of the amount, n how many moles of HX are present in Solution B? I think there are one...

What principle explains the solubility of a substance in aqueous acid or aqueous base? Ionic solutes and its dissociation is involved in a substance's solubility in an aqueous acid or base. This solubility can be expressed by a chemical equation in which a basic salt results when a a weak...

Hey, I've done this problem but i don't know what it all means? What does it mean to form a basis?:confused: Problem: show that the vectors (1,1) , (1, -1) form a basis for R^2 (x,y) = a1(1, 1) + b1(1, -1) x = a1 + b1 => a1 = x - b1 y= a1- b1 => b1 = a1-y a1 = x - a1 +...

If the conjugate base of a weak acid ends up being determined as a weak base by dividing the acid dissociation constant by the ion product of water, how can this be? My book had an example, but goes on to generalize that if a salt's anion is the conjugate base of a weak acid, then the salt...

A beaker with 110 mL of an acetic acid buffer has a pH of 5.00 is sitting on a benchtop. The total molarity of acid and conjugate base in this buffer is 0.1 M. A student adds 6.90 mL of a 0.480M HCl solution to the beaker. How much will the pH change? The pK_a of acetic acid is 4.76. My...

"Acids, Bases, and the Chemistry of Taste" I'm using a red cabbage water indicator to test some substances and, so far, I've done Isopropyl alcohol and Saline solution. Neither substance caused any change in the color of the indicator though which I can't figure out... I'm to do a taste test as...

I have problem in complete understanding these concepts especialy in organic chemistry. Inorganic was simple HaON, HCl and similar, but now in organic chemistry Acids and Bases concept and fast determining of those is killing me :(. Is there a place on internet with good tutorial covering...

I have to place two acids and two bases from a previous assignment on a pH scale using the information I acquired during that particular experiment. The problem is, I couldn't get all the materials I needed so I didn't get to do the assignment. I've been able to figure out what vinegar's pH is...

Problem: Complete Table 1 by noting how each theory defines acids and bases. Also, list chemical reactions that demonstrate the action of each acid or base. For example, in the reaction HA --> H+ + A-, HA acts as an Arrhenius acid. Firstly, I'd like to check my answers for the chemical...

According to recent news reports, the U.S. military is planning on a very long stay in Iraq. According to my local paper that 6000 seat dining facility is costing $14 million and much of the concrete mentioned was poured by Turkish? workers. HI HO Haliburton. This war is about oil, it...

1. Which Bronsted-Lowry acid has the strongest conjugate base? a. HBr b. HClO4 c. HF d. HI 2. What is the strongest acid among the following? a. HF b. HCl c. HBr d. HI Correct? Thanks.

In my chmeistry lab i use a pipet 5.0 ml of HCl and add it to a beaker. To this beaker I also added 5.0 ml NaOH. I stir the mixture and when a red litmus it turn to blue and when i put a blue litmus it stay blue. So that means its a base, but since its a mixture of an acid and a base shouldn't...

Could you check these? Which one of the following ions or molecules can act as a base? H2S NH4 ALH3 CH3 NH2 I chose H2S. Is this correct? Also I had to weire a resonable lewis structure for the molecule that has the following skeletal structure: O2NONO2 I wrote...

Vector Spaces, Subspaces, Bases etc... :( Hello. I was doing some homework questions out of the textbook and i came across a question which is difficult to understand, could somebody please help me out with it? -- if U and W are subspaces of V, define their intersection U ∩ W as follows...

Apologies if this is in the wrong forum. :smile: In a discussion we're having on our compsci forums at uni, about binary numbers, someone brought up the notion of non-integral bases. I take it to mean numbers with bases that aren't integers. Is this right? I've never encountered such a...

I have two homework problems that I am at a loss on where to start. I am going to see the TA tomorrow, but I would like to start on the problems tonight. The question is (the row vectors I show are actually written as column vectors on the homework): Consider the real vector space R>3...

Uggh finally did all the chem problems and studied for the upcoming final but there are 2 questions left unanswered. MAybe someone can help me out with this: If given a lists of acids, how would one know which 1 is the weakest conjugate base? For example, HF, HNO_2, H_2CO_3, H_3BO_3, HCl...

Suppose u1, u2 and u3 are a basis for R^3. So there is a unique combination c1.u1 + c2.u2 + c3.u3 = v for every v in R^3. Now suppose I have this bunch of vectors (u1+u2), (u1+u3), (u2+u3) and I would like to know if they also are a basis for R^3. So v = d1.(u1+u2) + d2.(u1+u3) +...

I have been thinking about bases of vector spaces and have come to some strange results. I mean, we cannot present vectors without giving a base first. That is okay :smile:. But which base shall we use for presenting the base used? How can we identify "the real" elements (vectors) behind our...

Whats the formula for this conjugate bases? how do I get them? a) HSO3tothe(-) b) NH3 c) HCL and how is the lewis acid and lewis base identified? thanks

Hi, In abstract linear algebra you learn that vectorspaces (and in particular I want to only consider ordered 2-tuples) have no natural coordinate system, but you can introduce coordinate systems and describe vectors relative to other vectors. However, in physics, they often make the...

What is the minimum no. of bases needed for circularising DNA ? or What is the length of the smallest circular DNA ?

Is there an easy way to change bases?

Suppose u let an acid sample sit for a week, does it lose weight after a period of time? and a base sample gain weight after a period of time? why is like this? and when a sample gains weight, the melthing point rises. is it because of the increased intermolecular forces? thanks

http://t2.technion.ac.il/~snoop/Q.gif Q is at one point R is the radius of this cylinder, it's height is 2h the cylinder is without the bases. how can i calculate the electric flow through it? the final answer is Q/[epsilon0*sqrt(1+R^2/h^2)]

Could You Help Me Out With This Question Please: 25.0 cm3 of a solution of 0.1M ethanoic acid is titrated with 0.1M sodium hydroxide.When sufficient alkali has been added to neutralise half of the acid,calculate a)the concentration of ethanoic acid and ethanoate ions b)the pH of the...

Hi People , I had a problem solving this question,could you please help me:D The question: a)The ionisation constant for propanoic acid is 1.26x10^-5 mol dm^-3.Calculate pH of a 1.0M solution b)What is the hydroxide ion concentration of this solution? c)Pocroc acid has an ionisation...

Could You Help Me Out Please... The Value of Kw ,the ionic product of water,increases with temperature.Will the pH of pure water be greater or less than 7 at 100*C?

Hello People, I am a new member and i really think this forum is very helpful... I got a question... The pH values of 0.100moldm-3 solutions of hydrocloric acid and ethanoic acid are 1 and aproximately 3 respectively. Explain the difference. Thanks already...

I know that our current decimal system has a base ten. My question is, how can i figure out fractions to decimals with different bases? basically, i would like to know how to use different bases other than 10.

A general two digit counting number is: d1*b + d0 = C ; where C is the count Let b = 2 as an example d 1 0 C ------ 0 0 0 0 1 1 1 0 2 1 1 3 b is the count of symbols in the digit, but it can start at 0 d1*0 + d0 = C ; works fine d0 = C ; and can be any base. d 1 0 C...

What are some good ways to explain acids and bases to a bright six year old?

Does anyone know if a Carmichael number returns 1 if you use Fermat's Little Theorem on it base 3?

Testimony of Dr. David R. Criswell: Senate Hearing on "Lunar Exploration" "Testimony of Dr. David R. Criswell at Senate Commerce, Science, and Transportation Subcommittee on Science, Technology, and Space Hearings: "Lunar Exploration" Thursday, November 6, 2003, 2:30 PM – SR-253 "...

Principal G-bundle and "bundle of bases" (footnote) The following came up in Lethe's forms thread, but I'll separate it out and add to it to use as a footnote in Gravitivity thread---group action, differential forms, bundles all come up in a classical treatment of gravity. A differential...