background preloader

Math

Facebook Twitter

Integration by Parts. Integration by Parts is a special method of integration that is often useful when two functions are multiplied together, but is also helpful in other ways.

Integration by Parts

You will see plenty of examples soon, but first let us see the rule: ∫u v dx = u∫v dx −∫u' (∫v dx) dx. RGB to Hex color converter. Enter red, green and blue color levels (0..255) and press the Convert button: Hex to RGB converter ► RGB to Hex color table RGB to hex conversion Convert the red, green and blue color values from decimal to hex.

RGB to Hex color converter

Concatenate the 3 hex values of the red, green and blue togather: RRGGBB. Example #1. Basic Geometrical Concepts - Basic Geometrical Concepts Exporter, Manufacturer, Distributor & Supplier, Delhi, India. Algebra II Calculators - eMathHelp. Partial Fraction Decomposition Calculator Online calculator will find partial fraction decomposition of a rational function with steps shown.

Algebra II Calculators - eMathHelp

Factoring Calculator. Binomial Expansion Calculator - eMathHelp. Your input: expand (x+2)10.

Binomial Expansion Calculator - eMathHelp

Expansion is given by the following formula: (a+b)n=n∑k=0(nk)an−kbk, where (nk)=n! (n−k)! K! And n! Binomial Theorem. A binomial is a polynomial with two terms What happens when we multiply a binomial by itself ... many times?

Binomial Theorem

Angle Conversions on the TI-89.

Discrete

Abstract algebra. Create LaTeX tables online. PCC Mathematics Home Page. Inner product. At the heart of digital signal processing is linear algebra, 'matrix algebra'.

inner product

And at the heart of linear algebra is the inner product. Linear algebra is a huge area of research, most of of which I do not understand at all. Fortunately the inner product is a simple concept, and from there you can penetrate into deeper levels of the subject. On a previous page I illustrated how matrix multiplication is a matter of cutting the things into rows and columns and find the correlations of these vectors.

Here is a cut 'n paste from that page to refresh. Finding an inner product of vectors can serve various purposes: - you want to analyse the correlation of the vectors - or you want to manipulate the content of vectors The correlation of two vectors can be a positive or negative number, or it can be zero. Choose an arbitrary example for (a+ib): (0.8+i0.6). Projects of Zack Booth Simpson: math. Showing posts with label math.

Projects of Zack Booth Simpson: math

Show all posts Saturday, July 30, 2011 Geometric proof of the dot product This is a geometric proof of the dot product that I submitted to Mathematics Magazine for the "Proof without words" section. They rightly rejected it because it's only valid for the first quadrant. Section-WILA. Subsection LA Linear + Algebra The subject of linear algebra can be partially explained by the meaning of the two terms comprising the title.

section-WILA

“Linear” is a term you will appreciate better at the end of this course, and indeed, attaining this appreciation could be taken as one of the primary goals of this course. However for now, you can understand it to mean anything that is “straight” or “flat.” For example in the -plane you might be accustomed to describing straight lines (is there any other kind?) Matrixology, Season 8. S8E01: Overview, motivation, and the Row, Column, and Matrix Picture.

Matrixology, Season 8

Three ways of looking at Ax=b. S8E02: Gaussian Elimination the one True Way. Our matrix A connects with its inner matrices, U and R. S8E03: Enter the Elimination Matrix. We make matrices do the work for us. S8E04: Advanced matrix wrangling and a start on inverses. S8E05: Our quest is the inverse of A. S8E06: Triangle x Triangle = Rectangle. S8E07: More LU Truth, then the surprises of transposes and symmetry. S8E08: Danger Will Robinson: We are entering Column Space!

S8E09: Nullspace versus Buffy the Vector Slayer. Error bound for a perturbed minimization problem related with the sum of smallest eigenvalues. Error bound for a perturbed minimization problem related with the sum of smallest eigenvalues Marcos Vinicio Travaglia Departamento de Matemática, Centro de Ciências da Natureza Universidade Federal do Piauí, 64049-550 Teresina, PI, Brazil E-mail: mvtravaglia@ufpi.edu.br Let C be a n×n symmetric matrix.

Error bound for a perturbed minimization problem related with the sum of smallest eigenvalues

Graphical Linear Algebra. So far we have not discussed categories in any depth. The reason for this is that I wanted to give you a feel for working with diagrams, for which we do not really need any deeper theory. I hope that I managed to convince you that diagrammatic reasoning is very intuitive: stretching, tightening and sliding along wires are all quite easy to visualise and think about. String diagrams are a user friendly notation, and the operations on them are also quite intuitive, at least if you ever played with Lego. These intuitive aspects are extremely important. Commutative Rings and Fields.

Different algebraic systems are used in linear algebra. The most important are commutative rings with identity and fields. Definition. Free Printable Graph/Grid Paper - Resourceful Blogger. Print this Post Save yourself money and a trip to the store with these free printable graph/grid papers right from your computer. Math Aids– This is another great resource for all your math needs. You can create math worksheets for all levels of Math. They also offer Free Printable Graph/Grid Papers of every kind you’ll ever need for homeschooling. Here are the types of printable Graph/Grid Paper available: Standard, Single Quadrant Coordinate Plane Graph Paper, Four Quadrant Coordinate Plane Graph Paper, Polar Coordinate Graph Paper, Logarithmic Graph paper, Horizontal Number Lines Graph Paper, Vertical Number Lines Graph Paper, Cornell Notes Template, Writing Paper, Notebook Paper, Dot Graph, Trigonometric Graph Paper-Zero to 2 Pi and Trigonometric Graph Paper-Minus 2 Pi to Plus 2 Pi.

I hope these resources will help aid you in your homeschooling adventures. Please spread the word and share these valuable homeschooling resources with your family and friends. Print Free Graph Paper.

Vectors

TI 89. Physics. How To Think With Exponents And Logarithms. Here’s a trick for thinking through problems involving exponents and logs. Just ask two questions: Are we talking about inputs (cause of the change) or outputs (the actual change that happened?) Logarithms reveal the inputs that caused the growthExponents find the final result of growth Are we talking about the grower’s perspective, or an observer’s? E and the natural log are from the grower’s instant-by-instant perspectiveBase 10, Base 2, etc. are measurements convenient for a human observer In my head, I put the options in a table: I have thoughts like “I need the cause, from the grower’s perspective… that’s the natural log.”.

I was frustrated with classes that described the inner part of the table, the raw functions, without the captions that explained when to use them! That won’t fly, let’s get direct practice thinking with logs and exponents. Scenario: Describing GDP Growth. The Fundamental Theorem of Calculus. Algebra, chart, charts, diagram, function, graph, graphics, line, line chart, math, mathematics, report, statistics icon. Free Math Lessons Algebra Elementary. Touch Mathematics. Touch Mathematics.

Diff eq

Calculus. Calculate. Graphs. Review. Interesting. THE BEAUTY OF MATHEMATICS. Music and math: The genius of Beethoven - Natalya St. Clair.