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Algebra

Algebra
"Algebraist" redirects here. For the novel by Iain M. Banks, see The Algebraist. The quadratic formula expresses the solution of the degree two equation in terms of its coefficients , where is not equal to Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[6] For example, in the letter is unknown, but the law of inverses can be used to discover its value: . , the letters and are variables, and the letter The word algebra is also used in certain specialized ways. A mathematician who does research in algebra is called an algebraist. How to distinguish between different meanings of "algebra" For historical reasons, the word "algebra" has several related meanings in mathematics, as a single word or with qualifiers. Algebra as a branch of mathematics can be any numbers whatsoever (except that cannot be Etymology History Early history of algebra History of algebra

Subtraction "5 − 2 = 3" (verbally, "five minus two equals three") An example problem Subtraction of numbers 0–10. Line labels = minuend. X axis = subtrahend. Performing subtraction is one of the simplest numerical tasks. Basic subtraction: integers[edit] Imagine a line segment of length b with the left end labeled a and the right end labeled c. a + b = c. From c, it takes b steps to the left to get back to a. c − b = a. To subtract arbitrary natural numbers, one begins with a line containing every natural number (0, 1, 2, 3, 4, 5, 6, ...). The solution is to consider the integer number line (..., −3, −2, −1, 0, 1, 2, 3, ...). Subtraction as addition[edit] Algorithms for subtraction[edit] There are various algorithms for subtraction, and they differ in their suitability for various applications. For machine calculation, the method of complements is preferred, whereby the subtraction is replaced by an addition in a modular arithmetic. The teaching of subtraction in schools[edit] sj sj−1 ... s1 from minuend

Algebra Calculator - MathPapa Algebra Calculator is a calculator that gives step-by-step help on algebra problems. Disclaimer: This calculator is not perfect. Please use at your own risk, and please alert us if something isn't working. Thank you. Type your algebra problem into the text box. For example, enter 3x+2=14 into the text box to get a step-by-step explanation of how to solve 3x+2=14. More Examples Trying the examples on the Examples page is the quickest way to learn how to use the calculator. Math Symbols If you would like to create your own math expressions, here are some symbols that the calculator understands: + (Addition) - (Subtraction) * (Multiplication) / (Division) ^ (Exponent: "raised to the power") sqrt (Square Root) (Example: sqrt(9)) More Math Symbols Tutorial Read the full tutorial to learn how to graph equations and check your algebra homework. Mobile App Get the MathPapa mobile app! Feedback (For students 13+) Need more practice problems?

untitled Addition 3 + 2 =5 with apples, a popular choice in textbooks[1] Addition of numbers 0-10. Line labels = addend. X axis = addend. Y axis = sum. Performing addition is one of the simplest numerical tasks. Notation and terminology[edit] The plus sign Addition is written using the plus sign "+" between the terms; that is, in infix notation. (verbally, "one plus one equals two") (verbally, "two plus two equals four") (verbally, "three plus three equals six") (see "associativity" below) (see "multiplication" below) There are also situations where addition is "understood" even though no symbol appears: Columnar addition: 5 + 12 = 17 The numbers or the objects to be added in general addition are called the terms, the addends, or the summands; this terminology carries over to the summation of multiple terms. Redrawn illustration from The Art of Nombryng, one of the first English arithmetic texts, in the 15th century[5] Interpretations[edit] Addition is used to model countless physical processes. Combining sets[edit]

untitled Multiplication Multiplication can also be thought of as scaling. In the above animation, we see 2 being multiplied by 3, giving 6 as a result 4 × 5 = 20, the rectangle is composed of 20 squares, having dimensions of 4 by 5. Area of a cloth 4.5m × 2.5m = 11.25m2; 4½ × 2½ = 11¼ The multiplication of two whole numbers is equivalent to the addition of one of them with itself as many times as the value of the other one; for example, 3 multiplied by 4 (often said as "3 times 4") can be calculated by adding 4 copies of 3 together: Here 3 and 4 are the "factors" and 12 is the "product". One of the main properties of multiplication is that the result does not depend on the place of the factor that is repeatedly added to itself (commutative property). 3 multiplied by 4 can also be calculated by adding 3 copies of 4 together: The multiplication of integers (including negative numbers), rational numbers (fractions) and real numbers is defined by a systematic generalization of this basic definition. Computation[edit]

The Writing Notebook Checklist for character development.Created by myself, compiled from questions gleaned from several sources, and some of my own additions.It should be noted, that not every character will check every one of these things off. It is not REQUIRED to have all this information, but this checklist is, rather, a guideline for helping you think of your character as an entire, three dimentional being with thoughts, feelings, possessions, contradictions and background.A character is 20% revealed to the reader, 80% writer/author/Mun knowledge. What the Reader sees is just the tip of the iceburg, but without the other 80% the character can’t help but come off feeling shallow. I think this is the most beautiful thing I have ever seen.

Mathematics Field of study Mathematics (from Greek: μάθημα, máthēma, 'knowledge, study, learning') includes the study of such topics as quantity (number theory),[1] structure (algebra),[2] space (geometry),[1] and change (analysis).[3][4][5] It has no generally accepted definition.[6][7] Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements.[10] Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day. History The Babylonian mathematical tablet Plimpton 322, dated to 1800 BC. Etymology ). from . .

55 Types of Poetry Forms This article contains the many different poem types. These include all known (at least to my research) forms that poems may take. If you wish to read more about poetry, these articles might interest you: poetry technique and poetry definition. A poem that has five lines and creates a mood, picture, or feeling. Lines 1 through 4 are made up of words, phrases or clauses while the first word of each line is in alphabetical order. Acrostic Poetry that certain letters, usually the first in each line form a word or message when read in a sequence. Article continues below... Ballad A poem that tells a story similar to a folk tale or legend which often has a repeated refrain. Ballade Poetry which has three stanzas of seven, eight or ten lines and a shorter final stanza of four or five. Blank verse A poem written in unrhymed iambic pentameter and is often unobtrusive. Bio A poem written about one self's life, personality traits, and ambitions. Burlesque Poetry that treats a serious subject as humor. Lay

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