What is Bases: Definition and 293 Discussions

The Business Association of Stanford Entrepreneurial Students (BASES) is a student group at Stanford University focusing on business and entrepreneurial activities. One of the largest student-run entrepreneurship organizations in the world, BASES' mission is to promote entrepreneurship education at Stanford University and to empower student entrepreneurs by bringing together the worlds of entrepreneurship, academia, and industry. BASES organizes the flagship 150K Challenge, Entrepreneurial Thought Leaders' Seminar, the SVI Hackspace, E-Bootcamp, and the Freshman Battalion.BASES was founded in 1996 by a group of five Stanford engineers. The organization works in partnership with Silicon Valley's venture capitalists and law firms to provide a variety of entrepreneurial services to Stanford students.

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  1. Q

    Bases of Generalized Eigenvectors

    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...
  2. A

    Vector Spaces: A Comparison of Two Bases in V3(R)

    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
  3. D

    Dual Spaces of Vector Spaces: Conventions and Dual Bases

    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...
  4. P

    I have my acids and bases test tomorrow, and i with a few types of problems

    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...
  5. Q

    How to find bases for subspaces

    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...
  6. J

    Calculate the pH of 100mL HOAc + 100mL Ba(OH)2

    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?
  7. L

    Understanding Bronsted Acids and Bases: Classification and Examples

    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...
  8. S

    What is the Dimension and Linear Independence of Subspaces?

    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...
  9. B

    Acids and bases chemistry problems

    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...
  10. S

    Substance's Solubility, Acids, and Bases

    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...
  11. C

    Solving a Basis Problem in R^2

    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 +...
  12. D

    Is the Conjugate Base of a Weak Acid Always a Weak Base?

    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...
  13. Q

    Adding Acids or Bases to Buffered Solutions

    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...
  14. A

    Acids, Bases, and the Chemistry of Taste

    "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...
  15. D

    Solving Organic Chemistry: Acids & Bases Problems

    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...
  16. A

    Finding pH Values for Acids and Bases Without Experiments

    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...
  17. A

    Acids & Bases: Arrhenius, Brønsted-Lowry, and Lewis

    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...
  18. edward

    News U.S. is building permanent bases in Iraq

    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...
  19. S

    Acid Strength and Conjugate Bases

    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.
  20. D

    Is My Acid-Base Mixture Actually Neutral?

    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...
  21. J

    Lewis structure- and bases check please

    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...
  22. R

    Vector Spaces, Subspaces, Bases etc

    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...
  23. A

    Non-Integral Bases in Computer Science | CompSci Forum Discussion

    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...
  24. B

    Solving Real Vector Space R>3 Bases Problems

    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...
  25. D

    What Determines the Strength of a Conjugate Acid-Base Pair?

    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...
  26. T

    Little excercise about bases (question)

    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) +...
  27. K

    Vector Bases Dilemma: Finding the Real Elements

    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...
  28. B

    How to Identify Lewis Acids and Bases and Their Conjugate Base Formulas?

    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
  29. E

    Is there a preferred orientation for the x and y axes in physics?

    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...
  30. K

    Minimum Bases for Circularizing DNA: How Small?

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

    Changing Bases Made Simple: A Guide

    Is there an easy way to change bases?
  32. N

    Acid/Base Weight Change: Melting Point Increase?

    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
  33. O

    Electric Flow through a Cylinder Without Bases

    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)]
  34. J

    Calculate pH & Concentration of Acids & Bases in Solution

    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...
  35. J

    Solving Acids & Bases Questions - pH, Ionisation Constant

    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...
  36. J

    pH of Pure Water at 100°C | Acids & Bases

    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?
  37. J

    Explaining Difference in pH Values of Hydrocloric & Ethanoic Acids

    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...
  38. L

    How can i figure out fractions to decimals with different bases?

    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.
  39. D

    Exploring Two-Digit Number Counting with Different Bases

    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...
  40. E

    Explaining Acids and Bases to a Six-Year-Old

    What are some good ways to explain acids and bases to a bright six year old?
  41. ?

    Carmichael numbers in other bases

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

    Solar power bases will be built on the Moon

    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 "...
  43. marcus

    Principal G-bundle and bundle of bases (footnote)

    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...
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