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It's the Law Too — the Laws of Logarithms
Feb 6, 2012 . Do you know why you can change log(x)+log(y) to a different form, but not log(x+ y)? . Multiply the Logarithm; Raising Numbers to Any Power; Divide Numbers, Subtract Their Logarithms . equation, and vice versa, just by interchanging the x and y in this way. . b ^ log_b(x) = x, where ^ means 'raised to the .
http://oakroadsystems.com/math/loglaws.htm

R Library: Advanced functions
y2 <- sapply(mat1.df, function(x, y) sum(x) + y, y = 5) y2 X1 X2 X3 X4 15 15 15 15 . #subtract column means from each column #centering each column around .
http://www.ats.ucla.edu/stat/r/library/advanced_function_r.htm

UserPost
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5:05 pm
February 15, 2005


Othello

New Member

posts -1

Tcl Built-In Commands - expr manual page
+ -: Add and subtract. . x?y:z: If-then-else, as in C. If x evaluates to non-zero, then the result is the value of y. . operators have ``lazy evaluation'', just as in C, which means that operands are not evaluated if they are not needed to . Arg may be either integer or floating-point, and the result is returned in the same form.
http://www.tcl.tk/man/tcl8.4/TclCmd/expr.htm

Algebra Quandry
1) x = y 2) x^2 = xy (multiply both sides by x) 3) x^2 - y^2 = xy - y^2 (subtract y^2 from each side) . Now, here is my philosophical quandary: I had taken algebra to be a means of . The operation of multiplication is a shorthand form of addition.
http://newton.dep.anl.gov/askasci/math99/math99112.htm

How to Add and Subtract Algebraic Fractions | eHow.com
In arithmetic, adding and subtracting fractions is a relatively straightforward . You can see this by multiplying the first expression x/(x - y) by (x + y)/(x+ y) to get x(x . A mixed fraction is written in the form of a whole number plus a fraction: 5 3/ 4.
http://www.ehow.com/how_4578526_add-subtract-algebraic-fractions.html

Random Variable Combinations
Often, it is necessary to combine random variables (i.e., to add or subtract . Suppose you have two variables: X with a mean of ?x and Y with a mean of ?y. Then .
http://stattrek.com/random-variable/combination.aspx

Euclid's Elements, Common Notions
If equals are subtracted from equals, then the remainders are equal. . In modern mathematics, axioms such as these would form the basis of an abstract algebra. . And let greater than just have the opposite order, that is, x > y means y < x.
http://aleph0.clarku.edu/~djoyce/java/elements/bookI/cn.html

Linear equations
By 'elementary operation' we mean (1) adding, subtracting, multiplying, or dividing by a . we can show the relationship between x and y in the form of a graph.
http://www.oup.com/uk/orc/bin/9780199236817/9780199236817_ch03.pdf

PHP Operators
x - y, Subtraction, Difference of x and y, 5 - 2, 3. x * y, Multiplication . It means that the left operand gets set to the value of the expression on the right. That is, the .
http://www.w3schools.com/php/php_operators.asp

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6:05 pm
February 15, 2005


tracylyn

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Othello ~

Matrix Addition, Matrix Subtraction - Precalculus | WyzAnt Tutoring
Addition of Matrices is commutative, meaning that given two matrices A and B: The best way to . Example 3: Solve for x,y,z given that matrix A = matrix B. Step 1 .
http://www.wyzant.com/Help/Math/Precalculus/Matrices/Matrix_Addition_and_Subtraction.aspx

CHAPTER 4 Direct Proof
theorem has form “Suppose P. Then Q,” but this means the same thing as “If P, then . we define addition, multiplication, subtraction and division, though we will use . “5 < 7,” and “x < y implies ?x > ?y,” do not need to be justified. In addition .
http://www.people.vcu.edu/~rhammack/BookOfProof/Direct.pdf

Logarithms
multiplication and division problems into addition and subtraction ones. Let's take a closer . (x and y above), their sum must be the exponent of the product (log( 1234)(5678) = x + y above). . These are by no means proofs, nor are these manipulations confined to base 10 logarithms. In the . then find ap in simplest form.
http://www.artofproblemsolving.com/Store/products/ps-aops2/exc1.pdf

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1:09 am
February 16, 2005


Othello

New Member

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Inequality Proofs
As usual, x<y means y>x, x ? y means x>y or x = y, and x ? y means y ? x. . Plainly, the same proof works if addition is replaced with subtraction. . The “· ? · ? ·” form of the inequality and the presence of the sin x in the middle remind me of .
http://www.millersville.edu/~bikenaga/math-proof/inequalities/inequalities.pdf

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8:50 am
February 16, 2005


CAMER

Member

posts 100

Tutorial for Systems of Linear Equations & Matrices
A First, a linear equation in two unknowns x and y is an equation of the form . To solve a system of linear equations means to find a solution (or solutions) (x, y) that . subtracting) the equations does not result in either x or y being eliminated.
http://people.hofstra.edu/stefan_waner/realworld/tutorialsf1/frames2_1.html

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10:32 am
February 16, 2005


Worried_Dad

Member

posts 38

expr - Linux Command - Unix Command
+ -: Add and subtract. . operators have ``lazy evaluation'', just as in C, which means that operands are not evaluated if they are not needed to determine the outcome . Arg may be either integer or floating-point, and the result is returned in the same form. . If y is 0, an error is returned. hypot(x, y): Computes the length of the .
http://linux.about.com/library/cmd/blcmdln_expr.htm

Algebra Help - Straight Lines
The two variables are usually (but of course don't have to be) x and y. . Any real number term may be added (or subtracted, of course); Nothing else is permitted! This means that any equation containing things like x2, y2, 1/x, xy, square roots, or any . This is not a coincidence, but is due to the standard form in which the .
http://www.helpalgebra.com/onlinebook/straightlines.htm

Graphing Linear Equations - Algebra | WyzAnt Tutoring
This is because x is the independent variable, which means that it is the variable being changed. . We will explore this as we start to graph equations in terms of x and y. . These equations do not form a point, but rather a horizontal or vertical line. . Then we subtract 2x from both sides to get the x and y on the same side .
http://www.wyzant.com/Help/Math/Algebra/Graphing_Linear_Equations.aspx

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11:13 am
February 16, 2005


tracylyn

New Member

posts -1

Worried Dad ~

A-level Mathematics/OCR/FP1/Matrices - Wikibooks, open books for ...
A matrix is an array of numbers (elements) presented in a standard form such . and we can also say column matrix to mean a matrix with only one column, and . Subtracting matrices is also as you would expect and is the exact opposite of . To find the matrix corresponding to the reflection in the x-axis, the point (x,y) will .
http://en.wikibooks.org/wiki/A-level_Mathematics/OCR/FP1/Matrices

Converting to slope-intercept form | Linear functions | Khan Academy
U04_L1_T4_we1 : Converting to slope-intercept form. . Exploring linear relationships · Plotting (x,y) relationships · Plot ordered pairs · Application . left- hand side, and the best way to do that is to subtract; 4x from both sides of this equation. . So that means that if I change x by positive 1 that y goes; down by negative 2.
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/v/converting-to-slope-intercept-form

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2:34 pm
February 17, 2005


kathygy

New Member

posts -1

Honors Compilers
OP X Y Z 8-bits 8-bits 8-bits 8-bits. Some instructions combine YZ. OP X YZ . is 33; The notation $Z/Z means that an operand can be either a register or immediate . SUB/SUBU (Subtract, subtract unsigned); NEG/NEGU $X,Y,$Z/Z . Same set except register is zeroed if condition is false rather than nop (all other forms too) .
http://cs.nyu.edu/courses/spring02/G22.3130-001/mmix.ppt

Vectors
When we write the <> we mean that the vector has initial point at the origin and terminal point at (-3,1). This notation is called the component form of the vector. The length of the vector <x,y> is called the norm or magnitude. We can find it by the formula: . Properties of Vector Addition and Subtraction. We have the following .
http://ltcconline.net/greenl/courses/107/vectors/vect.htm

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4:29 pm
February 17, 2005


Othello

New Member

posts -1

Regression
The general form of a simple linear function is this equation (Y = a + bX). . In this example, regardless of what value you put in for X, Y will always equal 3. . To find the variance of Y, you subtract each Y score from the mean of Y (Y - My), .
http://www.psych.utah.edu/stat/introstats/web-text/Regression/index.html

MathSteps: Grade 7: Linear Equations: What Is It?
In a linear equation in x and y, x is called x is the independent variable and y . To find how fast x is changing, subtract the x value of the second point from the x . The equation of a line can be written in a form that gives away the slope and . This means that a positive change in y is associated with a positive change in x.
http://www.eduplace.com/math/mathsteps/7/d/index.html


Linear Regression
Units of Measurement and Functional Form . (y,x) are observable (we can sample observations on them) . Can combine with zero mean assumption to get zero conditional . ?¯x. Population analogues. Slope = Cov(x,y). Var(x). = Corr(x, y). SD(y). SD(x). Intercept . Can standardize y and x's (i.e., subtract sample avg.
http://finance.wharton.upenn.edu/~mrrobert/teaching_files/fin926/Lecture%20Slides/Linear%20Regression%20Slides.pdf

Perpendicular Regression Of A Line
When we perform a regression fit of a straight line to a set of (x,y) data points we . significance, because the notion of "perpendicular" has an absolute meaning. . Then we can subtract X from each of the x values, and Y from each of the y . namely xy and x^2 - y^2, are both hyperbolic conic forms, and they constitute the .
http://mathpages.com/home/kmath110.htm


Review of Vectors
In three dimensions a vector is a triple of numbers ?x, y, z?. Quantities like the . what we mean by the x component of the velocity since the x axis now points in a different . A vector cannot be added to or subtracted from a scalar. A vector . We will usually use the ?x, y, z? form rather than the?jˆk form in this book, because .
http://www.matterandinteractions.org/VectorAppendix.pdf

Primitive recursive function - Wikipedia, the free encyclopedia
2.1 Addition; 2.2 Subtraction; 2.3 Operations on integers and rational numbers . This means that there is a single computable function f(e,n) such that: For every . The operator ?yy<z R(x, y) is a bounded form of the so-called minimization- or .
http://en.wikipedia.org/wiki/Primitive_recursive_function

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6:04 pm
February 17, 2005


GullyFoyle

New Member

posts -1

Linear Algebra: Vectors
The subscripted a, x and y quantities that appear in this set of relations may be formally arranged . Putting A next to x means “matrix product of A times x”, which is a generalization of the . Clearly (A.3) is a more compact, “short hand” form of ( A.1). . For vector subtraction, replace + by ? in the foregoing expressions. A–6 .
http://www.colorado.edu/engineering/cas/courses.d/IFEM.d/IFEM.AppA.d/IFEM.AppA.pdf

Calculus, Applications and Theory
6.8 Mean Value Theorem . . about using calculators or any other form of technology. . subtraction are defined in the usual way by x?y ? x+(?y) and x/y ? x .
http://www.math.byu.edu/~klkuttle/calcbookA.pdf

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6:56 pm
February 17, 2005


Worried_Dad

Member

posts 38

tracylyn and kathygy

y
. replace y and each x variable with a standardized version – i.e. subtract mean and . OLS can be used for relationships that are not strictly linear in x and y by using . of x, y or both; Can use quadratic forms of x; Can use interactions of x variables . the standard error will be smallest when the c's equal the means of the x's .
http://www.swlearning.com/economics/wooldridge/wooldridge2e/ppt/ch06.ppt

GRASS GIS manual: r.mapcalc
Some characters have special meaning to the command shell. . multiplication Arithmetic 10 + addition Arithmetic 9 - subtraction Arithmetic 9 << left shift Bitwise . This is done by specifying the raster map layer name in the form: . mode value of those listed * not(x) 1 if x is zero, 0 otherwise pow(x,y) x to the power y * rand(a .
http://grass.fbk.eu/gdp/html_grass64/r.mapcalc.html

Reference for all built-in template language functions — calibre User ...
add(x, y); divide(x, y); multiply(x, y); subtract(x, y). Boolean . cmp(x, y, lt, eq, gt); strcmp(x, y, lt, eq, gt) . The separator has the same meaning as in the count function. . swap_around_comma(val) – given a value of the form “B, A”, return “ A B”.
http://manual.calibre-ebook.com/template_ref.html

Algebraic Fractions | Math@TutorVista.com
We can add, subtract, multiply and divide fractions in algebra in the same way that we do in simple . (2) Fractions using variable in the denominator are in the form, . $\frac{5}{xy}$, x $\neq$ 0 and y $\neq$ 0 . Where x and y are variables. . Simplification of fraction means to make the fraction as simple as possible.
http://math.tutorvista.com/number-system/algebraic-fractions.html

Can adders subtract?
which also accounts for that intrusive 1 that we got at the beginning of our result. In fact, the 1 acts as a useful signal: if it's not there, then it means that X - Y is .
http://www.nugae.com/encryption/fap4/subtract.htm

Principles in analysis
When there are a set of samples, it is common to compare the means (averages). . X, X - x-bar, (X - x-bar)^2, Y, X - Y, (X - Y)^2 . This form is calculated as: .
http://changingminds.org/explanations/research/analysis/principles_analysis.htm

Multiplying and Dividing with Exponents
right (in superscript form) of a variable or number. . example, 65 means 6 · 6 · 6 · 6 · 6 and x3 means x · x · x. The base is the number . You can only subtract the . It is important to note in the example above that x·y and y·x are the same thing.
http://www.uhv.edu/ac/mathsci/pdf/exponents.pdf

Operators - Adobe ActionScript® 3 (AS3) API Reference
x. Symbolic operators are characters that specify how to combine, compare, or modify . subtraction assignment, Assigns expression1 the value of expression1 .
http://help.adobe.com/en_US/FlashPlatform/reference/actionscript/3/operators.html

Linear or Nonlinear Differential Equation?
Assume that y' means dy/dx. . It seems to me that squaring both sides and subtracting 2x2 from both sides renders a . an(x)y(n) + an-1(x)y(n-1) + ... a0(x)y= g(x) . differential operator) in the form f(y) and then see if f is linear in that sense, i.e., .
http://www.physicsforums.com/showthread.php?t=632590

Binomial theorem - Wikipedia, the free encyclopedia
The coefficient a in the term of xbyc is known as the binomial coefficient \tbinom nb . These coefficients for varying n and b can be arranged to form Pascal's triangle. . For a binomial involving subtraction, the theorem can be applied as long as the . quotient and taking limits means that the higher order terms – (\ Delta x)^2 .
http://en.wikipedia.org/wiki/Binomial_theorem

8.3 Addition and Subtraction of Radicals
Of course we need to define what it means for two radicals to be like . Of course, in order to tell if two radicals are like, they first need to be in simplest form. . 383. 3. 27. 4. 3. 82. 24. 3. 81. 4. 242 y xy y xy y xy y xy yxy yy x yyx yx y y x yx. = .
http://infinity.cos.edu/algebra/Blakely%20Text/Chapter%208/8.3.pdf

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1:13 pm
December 16, 2005


Matteo

New Member

posts 2

LoL!

Worried Dad,

Graphing Quadratic Functions
The term quadratic comes from the word quadrate meaning square or rectangular. . The second form is called the vertex-form or the a-h-k form, y = a(x - h)2 + k. . line of symmetry, it will always be y = c, where c is always the x-value of the vertex (x, y). . Also, it tells us to subtract 3 from x and then square that to get p(x).
http://jwilson.coe.uga.edu/emt668/EMAT6680.Folders/Barron/unit/Lesson%206/6.html


Binomials | MathCaptain.com
A Binomial is a polynomial containing two terms, bi meaning two. In terms of . 3xyz has three variables namely x, y and z but it is a single term or a monomial.
http://www.mathcaptain.com/algebra/binomials.html

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2:58 pm
December 16, 2005


kathygy

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Chapter 4. Point operations
. 0 end end function threshold_get_value(x,y,level) value = get_value(x,y) return . This is equivalent to shifting the contents of the histogram left (subtraction) or . The levels tool found in many image processing packages is in it's simplest form . The view is a plot of the function f(x) of the transform applied, this means that .
http://pippin.gimp.org/image_processing/chap_point.html

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An Xmgrace Tutorial
Choose the columns for the x- and y- coordinates using the drop down menus. . which means you use both X and Y from the source set but also the Y .
http://mintaka.sdsu.edu/reu/grace.printout.html


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