1. H

    Explain Why a Root is Close to...

    Show that Use this to explain why is close to, but slightly less than, 10.05. ~ I know why the first part equals the other, but what relevance has that to the explanation?
  2. L

    Need help finding equation that's close to geometric series sum but not.

    Hello! I need help finding an equation that takes two variables. Problem in word form. Billy has n game tokens to play arcade machines that take 1 game token each. After playing m games, the arcade gives him 1 game token back. How many total games t can Billy play with an inital n game tokens...
  3. G

    Close form solution to minimize norm of quadratic term

    For a problem I am working on I need to minimimize \sum_t || x^TA_tx - b_t||^2_2, with respect to x \in R^n. The matrix A_t \in R^{n \times n} is not positive definite, b_t \in R. Is there a closed form solution for this? The norm can also be the L1 norm and does not need to be squared, if...
  4. O

    Symbolic Logic statement ... need to know if correct or close to

    I am to Write the sentence in words that corresponds to the following symbolic statement. Find the negation both symbolically and in words: ∀x ∃y ∋ y > x For all x: P(x) is true and there is at least one y such that P(y) is true For every element P(y) > P(x) There exist at least one x such...
  5. M

    set theory problem, open and close intervals equivalance

    hello there, i am trying to prove a set theory problem relating open and half open intervals. help needed. 1- [0,1] ~ (a,b) 2- [0,1] ~ [a,b) 3- [0,1] ~ (a,b] where a,b belongs to R and ~ is equivalent sign. for question 2, [0,1] ~ [a,b) i have defined a function such that f(x) =...
  6. M

    Metrics close implies volume forms close

    Let g be a metric on the S^2 which is close to the standard metric \gamma, i.e. \sup_{\theta \in S^2}\vert g - \gamma \vert \leq \varepsilon for some \varepsilon small, where \vert \cdot \vert is the norm with respect to \gamma (say). Is there an easy way of showing that the volume forms are...
  7. S

    annoying integral problem so close yet so far

    Ok the original problem is Integral sin^(4) x cos^(4) x After making the two of those sin^2 and and cos^2 and doing trig function substation my integral became 1/4 integral [1-cos^2 2x]^2 Then 1/4 [sin^2 2x]^2 I am officially I stuck and I know I'm close to solving it but I am now...
  8. K

    How close each other 2^x and 10^y can situate if x and y are natural numbers?

    If we have 2^3, it´s distance from 10^1 is only 2. If we have 2^10, it´s distance from 10^3 is 24 (as 2^10=1024 and 10^3=1000). Is there any other natural number pair x,y which results distance between 2^x and 10^y to be only 2? Is there any formula, where to insert desired distance and find x...
  9. B

    Determine which stores to close

    Hi, Am not much of a stats guy so looking for help from you experts. We have total sales data for around 100 stores for 12 months. The stores need to close for remodeling for 2 months; all the stores cannot be closed in the same month. There are few months were all the stores do good. In...
  10. B

    I tried this question, but told I am close BUT not the correct answer. Help please.

    question goes like this. Food inspector examines 3 products in a group to determine if they are acceptable. From past experience it is known that the probability of finding no defects in the sample of 3 if 0.990, the probability of 1 defect in the sample of 3 is 0.006, and the probability of...
  11. T

    unitary,close to it seflf defintion question

    unitary,close to it self defintion question there is A matrices order n over C.we define M_{nxn}^{c} a transformation T as T(B)=AB for every B\in M_{nxn}^{c} A.prove that if A unitary if and only if T is unitaryTT^{*}=T^{*}T=I? B.prove that if A normal if and only if T is normal(TT^{*}=T^{*}T)...
  12. L

    Open - Close Function.

    Hello, Im trying to prove the following function is open but not close. I really have no idea how to do it. I just know the concept but nothing else. Please help. $\pi _1 :\mathbb{R}^2 \to \mathbb{R} \hfill \\$ $\pi _1 \left( {x_1 ,x_2 } \right) = x_1 \hfill \\ $
  13. T

    calculate logarithm base 2 of number very close to 1

    I need to calculate logarithm base 2 of number very close to 1. for example log2(0.9999999999999999999999999999999… The expected result is around 2^-80. I can't calculate it even with Matlab. Anyone can help me?
  14. T

    numerical analisys close numbers question..

    y=\sqrt{x^2+1}-1 how do we know that there is a subtraction of two close numbers thus making loss of significance? there is no close numbers there is variable X it could give use a close result or otherwise and why multiplying and dividing by y=\sqrt{x^2+1}+1 makes it go away?
  15. L

    How close?

    Hello, Can you please help me figure this out? Problem: How close to -3 do we have to take x so that 1/(x+3)^4 > 10,000
  16. C

    Is My Answer Close to Right? Cyclic Group Proof

    Suppose that G is a group of order 143 and that H is a subgroup of G with H not equal to G. Prove H is cyclic. Solution Attempt: Suppose G is a group and |G| = 143. Thus, G has an element a with order 13 and an element b with order 11. Then ab has order 143 since (ab)^143 = (a^143)(b^143)...
  17. wonderboy1953

    How close to Fermat's theorem?

    MS = Magic Squares(s) Multigrade example (through to the fifth power, a pentagrade): 1+15+22+50+57+71 = 2+11+27+45+61+70 = 5+6+35+37+66+67 = 216 12+152+222+502+572+712 = 22+112+272+452+612+702 = 52+62+352+372+662+672 = 11,500 13+153+223+503+573+713...
  18. R

    Trig Identity - I'm so close (i think..)

    Im still trying to figure out these identities. Ive never had so much trouble with math, ugh. I think I almost figured this one out but I must have taken a wrong turn somewhere. Here is the identity. \frac{1-\sin\theta}{\cos\theta}+\frac{\cos\theta}{1-\sin\theta}=2\sec\theta I started with the...
  19. D

    Metric Space , Close and open

    We have a, b ∈ R \ Q, a < b. A = {x ∈ Q: a < x < b} Show that A is clopen(open and close) in Q i have being trying to solve this problem in the last 2hours i need some hints or examples thank you in advance