What is Base: Definition and 585 Discussions

So I understand the math, that is, how to solve these problems. But how does inverting the base cancel out the negative in the exponent? I worked out inversion to simply be a setback of 2 decimal places, e.g. 12.5% of 8 = 1, so 1/8 is .125 % of 1. But why does this nullify the negative?

According to the link below, fractal dimension is an exponent of some sort: http://www.vanderbilt.edu/AnS/psychology/cogsci/chaos/workshop/Fractals.html The Hausdorff Dimension (aka fractal dimension) is denoted as D in the website above. And r is the base number. If we were to look at...

I have a parabola centered at x=0, equation: y = a*x^2 + c, where a is always negative and c always positive. I need to find a way to calculate a and c, if i know: the arc length above the x axis, and the base width, knowing the base width i also know the x-axis intersections x1,2 =...

Homework Statement You have 400 mL of a solution of 0.20 M Na3PO4 buffer at pH 6.5. You add 0.7 g of NaOH to this solution. What will be the new pH? Homework Equations I suppose vital givens will be: pH = p_Ka + log[(A-)/(HA)] p_Ka values for H3PO4 = 2.15, 6.78, 12.4...

Homework Statement Greetings, I'm trying to solve these problems given the vectors u=(3,-2,1) and v=(2,-3,1) 1. Find an orthogonal base for the space H generated by {u,v} 2. Find the orthogonal projection of w=(3,0,1) on H Homework EquationsThe Attempt at a Solution Im not sure how...

what am i doing if I am getting double the amount bandwidths from a time base ? Hia So here i have a clock frequency be divided and i have achieved to divide it in such a way that out of let's say,( keep it simple eh, ) 1KHz, if i divide this by 10, i would get 10 sequential parallel outputs...

For an exponential function of the form y=a^x First derivative , d/dx [a^x ] = a^x∙ lim┬(δx→0)⁡{(a^δx-a^0)/δx} = a^x∙ m_((0,1)) now if m_((0,1)) which is the gradient of the y-axis intersection point of the exponential function equal to 1 exactly...

Hi, recently I have being thinking about math in different bases, and I was wondering if there is a relationship between ∏ from different bases. Also is there mathematics related books that discusses math in different bases? Thanks in advance

I have to do a chemistry report and have two peer reviewed scientific journals related to my topic as references. My question is if there is some sort of database that has this information readily available?

Suppose we have a decimal string in base 2 (ex: 0.10111000...) then are there any of these that equal the same number in [0, 1]? I was never formally introduced to anything like this, yet I'm being asked questions involving base 2, base 3, etc. If someone could answer this, it would help me...

Why exactly is there zero current flowing through a diode when it is short circuited, given the presence of the barrier potential? My current understanding is that the drift current precisely balances the diffusion current. But if you take a diode and short it with a wire, wouldn't you then also...

what theories out of the major two ( Bronsted-Lowry Theory of acids and bases and The Lewis Theory of acids and bases) should we use in common problems, and which one is more reliable ?

Homework Statement The Attempt at a Solution I don't understand where 2v1 + 3v2 and 4v1 - 3v2 came from.

Hi there, I know that primitive cell is not unique and there are more than one way to define the primitive vectors but my question is when we said "primitive vectors" do we have to construct the Bravais lattice with choosing a proper basis first? My reasoning is suppose the crystal consist of...

Hello .. This is a question with answer , From where " 1 " in the solution ? http://store1.up-00.com/Mar12/yd170715.jpg

I've been given a question on how to tell whether a compound is an acid or base or neautral in an aquesous solution. Na2CO3 Please help.

Consider the case of a rectangle ABCD, with diagonals AC and BD drawn. Now, it's easy to see that triangles ADC and BCD are congruent. So, the ratio of their areas would be 1. But when I try to obtain the same result via the common base theorem, the line passing through A and B never meets...

does forming OH- ions in water base solution absorb energy ? How this mechanism works, from stable molecules to unstable ions? is this reaction endothermic or exothermic?

In my physics test, a question was asked why the heat sink has a square base. Anyone can answer this? i searched the internet but could not find much. Any help would be greatly appreciated. :)

Homework Statement Prove that if a topological space has a countable base, then all bases contain a subset which is a countable base Homework Equations A base is a subset of the topological space such that all open sets can be constructed from unions and finite intersections of open sets...

Homework Statement For each of the following, identify the base function and describe the transformation(s): f(x)=-4(3x)^2 + 5 Homework Equations f(x) = -4(3x)^2 + 5 The Attempt at a Solution Alright so my attempt at figuring out the requested answers are: Base function = x^2...

Homework Statement Find the base and dimension of a system of equations: 3x1 - 5x2 + 2x3 + 4x4 = 0 7x1 - 4x2 + 1x3 + 3x4 = 0 5x1 + 7x2 - 4x3 - 6x4 = 0 2. The attempt at a solution Written in matrix form: 3 -5 2 4 7 -4 1 3 5 7 -4 -6 What I get: 11 -3 0 2 7 -4 1 3...

According to this link at Wolfram, the following formula can be used to calculate any digit of the base-16 representation of π: \pi = \sum_{n=0}^{\infty} \ \left( \frac{4}{8n+1} - \frac{2}{8n+4} - \frac{1}{8n+5} - \frac{1}{8n+6} \right) \cdot \frac{1}{16^n} But apparently it is not as...

Hi guys ! I'm in serious need of help! Could you guys teach me how to attempt the following questions? I've tried everything..from reading up the notes(which has been trimmed along the years to make people pass)..to asking my teacher(He only explains briefly and in a way which i can't...

What is the pH of the solution formed when 0.040 mol KOH is added to 2.00 L of 0.020 m HCl? Hello all! I'm really struggling with this. I set up the change table with the reaction of KOH + HCl <> H2O + KCl, and so I end up with Ka = x/(.01-x)(0.2-x). What Ka value would I use? I may be...

Homework Statement We're working with logarithms of base 3, and log(4)=a and log(7)=b. The goal is to put log(21) in terms of a and b. For example, take the log(112). It's the same thing as 2a+b since 4*4*7 = 112. Homework Equations Just the standard log properties. The Attempt...

Hi All, This might be a silly question but can anyone tell me with certainty if it is possible to convert a transcendental number into a terminating decimal by base changing? If that is possible that is insanely awesome. [edit] Sorry that was completely not what I was wondering. I meant...

I am currently trying to go between any two bases which are between and including base 2 to base 10. (i.e, base 10 to base 3, base 4 to base 6, etc...). Is there an equation or set of formulas for a one-step transition between the bases (or one-way method, rather than converting to base-10 then...

Homework Statement A frustum of a right circular cone with height h, lower base radius R, and top radius r. Find it's volume. Homework Equations We are currently learning the Method of Washers and the Method of Cylindrical Shells so I believe we are supposed to use this somehow. The...

SNRDB= 10*log10(SNR) --> log base 10SNR = 10.^(SNRDB/10) SNRDB= 10*log10(SNR) --> log base 10 SNR = 10.^(SNRDB/10) ---(1) SNR = exp(SNRDB*ln(10)/10) ---(2) How is equation 2 comes as I checked both equation 1 & 2 are equivalent numerically. I am not able to derive equation 2.

Homework Statement X - topological compact space \Delta = \{(x, y) \in X \times X: x=y \} \subset X \times X \Delta = \bigcap_{n=1}^{\infty} G_{n}, where G_{1}, G_{2}, ... \subset X \times X are open subsets. Show that the topology of X has a countable base. Homework Equations The Attempt...

Evaluate ∫∫R 5x2 + 2y2 where R is triangle (1,1) (2,0) (2,2) I see the lines bounding the triangle are y=x y=2-x and x=2, and have tried many attempts at setting up the correct limits. Would it be correct to split this into 2 triangles, or are the limits y=x∫y=2-x for y and 2∫1...

Homework Statement x mole of a strong monoacidic base is dissolved in one litre of water. The pH of the solution will be (a)-log x (b)14-log x (c)14+log x (d)-log (14-x) Homework Equations The Attempt at a Solution For instance i assumed that the base is NaOH but it does not...

i am doing my lab report and i just want to know how to calculate the absolute error of the acidic concentration and thank you.

Yes I know it's a really stupid question, please don't make fun of me. But when they first defined this new function, the integral of 1/x, and had no graph or knowledge of how it looked, how could they know it was a logarithm? More specifically, the logarithm with base e.

Hello all, This is my 1st post on this forum. I am struggling with one problem. I have done actual testing of a fixture on vibration table. where I have checked g level at various points of fixture with the help of accelerometers. I had vibration table excited from 0 - 80 Hz, sine wave, 1g...

So I am doing research for the different energy sources that might be available for a space base in about fifty years from now. Some of these energy sources would likely be solar, fusion, fission, Nuclear, and I heard of radio - nuclide as well. What else could be used? In addition, does...

Early effect states the collector current increases as we increase CE voltage in a common emmiter circuit due to base-width modulation. But how does the Early effect change the base current? Does base current remain constant or does it change?

Homework Statement the question asks to determine if the equilibrium is greater, equal or less than 1. one of the equation is the following: [CuI4]2- (aq) + [CuCl4]3- (aq) ↔ [CuCl4]2-(aq) + [CuI4]3- (aq) Homework Equations The Attempt at a Solution the solution given was...

I am curious to know what would be the benefits of a Lunar Base? I know that some benefits include the harvesting and possible use of Helium 3 for nuclear fusion energy. In addition it would help further the progress for space travel that will sometime in the future lead to traveling to other...

I wonder why bases are called so? In other languages they are named according to the same principles, but I don't get what are they. So why would scientists give a name like 'base' to the respective substance?

Homework Statement Identify the following species as a Bronsted acid, base, or both a) HI b) CH3HOOH c) H2PO4- d) HSO4- I don't need the answers-- those are in the back of the book. I just don't understand how to classify each species. Thanks in advance for any help!

1) Analogy in F = ma From experiment, we find that F = k m a and we deliberately choose k = 1 (dimensionaless) and thus we define the unit Newton, a derived unit. 2) In the definition of ampere, it is in terms of the force per unit length between two straight parallel conductors...

Hey all, I am majoring in math and taking this c++ which I am having some trouble with. [Im into paper and pencils ] So my assignment is to have a number saved in a string then convert it from a string to an integer (have that done) and finally convert that number to a decimal number from...

Hey guys so I have to make a code for my class that you input a number..then you input the base..and it will print the decimal representation I haven't seen this in math so I am a bit confused, just wanted to know what this was called so I can read up on a tutorial. thanks!

Homework Statement The base is the semicircle y = \sqrt{9-x2}(Square root of 9-x2.. i don't know why the formatting isn't showing up) where -3 <= x <= 3. The cross section perpendicular to the x-axis are squares. Homework Equations -3\int3 = A(y)dy A(y) = area of cross section...

I have a question in my environmental engineering class that goes like this: if 100mg H2SO4 is added to 1 Liter of water, how many milligrams of NaOH (strong base) must be added to neutralize the acid? the answer is 81.6mg, but how do i get to the answer? i tried writing a reaction of...

Homework Statement I have a function, y = 6*e^0.4x. How would I convert the regular form, y=a*e^bt to the form y= at^b? Homework Equations y = 6*e^0.4x The Attempt at a Solution I've tried to take the log of both sides, but if I do that, then "y" becomes a log, and I can't...

Why is the kilogram the base unit of mass, instead of the gram? http://en.wikipedia.org/wiki/Cgs_system_of_units" explains the replacement of the cgs- (centimeter-gram-second) by the mks-system (meter-kilogram-second) by: "The values (by order of magnitude) of many cgs units turned out to be...

For example: If they gave you KClO and asked you to name it... The answer is Potassium Hypochlorite, because you base it off of the loss of two oxygen atoms from the most common chlorine ion (ClO3). My question is, why can't I base it off of Clorite (ClO2), so that the name of KClO would then...