Wikibooks

User:Dark Mage/New Pages

< User:Dark Mage

23 November 2024

22 November 2024

  • 16:1916:19, 22 November 2024 Algebra/Contributors/Book Order (hist | edit) [2,792 bytes] GoreyCat (discuss | contribs) (Created page with "This section is to explain the reasoning for the ordering of the sections. ==Chapter 1 - Elementary Arithmetic== First, numbers as a whole are covered, which is then followed by mathematical operations in the scope of whole numbers. Afterwards, these same ideas are then explained through the scope of integers, fractions and decimals. This knowledge can then be applied further with PEMDAS.")
  • 15:4715:47, 22 November 2024 Algebra/Chapter 2/Glossary (hist | edit) [60 bytes] GoreyCat (discuss | contribs) (Created page with "*'''expression''': *'''sentence''': *'''set''':")
  • 15:4115:41, 22 November 2024 Algebra/Chapter 2/Review (hist | edit) [821 bytes] GoreyCat (discuss | contribs) (Created page with "==Section 2.4: Properties of Real Numbers== All numbers that we will be working with for the majority of Algebra are called Real Numbers. They consist of Rational and Irrational Numbers. Irrational Numbers are numbers that have infinite, non-repeating decimals, such as pi. Rational Numbers are all numbers that can be expressed as a fraction of integers, which include Natural Numbers, Whole Numbers, Integers, and Rational Numbers. For all Real Numbers, there are a few pro...")

21 November 2024

20 November 2024

  • 17:1817:18, 20 November 2024 Cascading Style Sheets/Color/Relative colors (hist | edit) [5,881 bytes] Xeverything11 (discuss | contribs) (Created page with "Consider the following color palettes: red, olive, teal and violet, as respective variables --base-color. You can set the following colors for the user interface: * <code>--background-color: oklch(from var(--base-color) 98% 0.02 h)</code> * <code>--foreground-color: oklch(from var(--base-color) 20% 0.1 h)</code> * <code>--button-color: oklch(from var(--base-color) 40% 0.2 h)</code> * <code>--inverse-color: oklch(from var(--base-color) 99% 0.01 h)</code> * <code>--notice-...") Tags: Mobile edit Mobile web edit Advanced mobile edit

19 November 2024

18 November 2024

  • 17:5817:58, 18 November 2024 Math for Non-Geeks/Mathematical induction (hist | edit) [14,707 bytes] Sascha Lill 95 (discuss | contribs) (Article translated from https://de.wikibooks.org/wiki/Mathe_f%C3%BCr_Nicht-Freaks:_Vollst%C3%A4ndige_Induktion. See https://de.wikibooks.org/w/index.php?title=Mathe_f%C3%BCr_Nicht-Freaks:_Vollst%C3%A4ndige_Induktion&action=history for list of authors)
  • 17:4217:42, 18 November 2024 Math for Non-Geeks/Introduction and motivation (hist | edit) [18,816 bytes] Sascha Lill 95 (discuss | contribs) (Article translated from https://de.wikibooks.org/wiki/Mathe_f%C3%BCr_Nicht-Freaks:_Komplexe_Zahlen:_Einleitung_und_Motivation. See https://de.wikibooks.org/w/index.php?title=Mathe_f%C3%BCr_Nicht-Freaks:_Einleitung_und_Motivation&action=history for list of authors)
  • 17:3417:34, 18 November 2024 Math for Non-Geeks/Real numbers (hist | edit) [15,302 bytes] Sascha Lill 95 (discuss | contribs) (Article translated from https://de.wikibooks.org/wiki/Mathe_f%C3%BCr_Nicht-Freaks:_Reelle_Zahlen. See https://de.wikibooks.org/w/index.php?title=Mathe_f%C3%BCr_Nicht-Freaks:_Reelle_Zahlen&action=history for list of authors)
  • 17:2317:23, 18 November 2024 Math for Non-Geeks/Propositional logic (hist | edit) [9,841 bytes] Sascha Lill 95 (discuss | contribs) (Article translated from https://de.wikibooks.org/wiki/Mathe_f%C3%BCr_Nicht-Freaks:_Aussagenlogik. See https://de.wikibooks.org/w/index.php?title=Mathe_f%C3%BCr_Nicht-Freaks:_Aussagenlogik&action=history for list of authors)
  • 16:1716:17, 18 November 2024 Algebra/Chapter 15/Arithmetic Progression (AP) (hist | edit) [1,733 bytes] GoreyCat (discuss | contribs) (Created page with "'''In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.''' Example 1: <br /> A frog jumps every 2 seconds. If we start from the very first second the frog jump we take it as <math>t = 0</math>. The next jump will be on <math>t = 2</math>. As the frog jumps every 2 seconds so; <math>t = 0 + 2 \rightarrow t = 2</math> So can you tell when the next jump will be? I...")
  • 16:1516:15, 18 November 2024 Algebra/Chapter 9/Polynomials (hist | edit) [6,756 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Factoring Polynomials |previous=Polynomials |next=Completing the Square }}</noinclude> =Formulas= Computing factors of polynomials requires knowledge of different formulas and some experience to find out which formula to be applied. Below, we give some important formulas: <math>{x^2-y^2=(x+y)(x-y)}</math> <math>{x^2+2xy+y^2=(x+y)^2}</math> <math>{x^2-2xy+y^2=(x-y)^2}</math> <math>{x^3-y^3=(x-y)(...")
  • 16:1316:13, 18 November 2024 Algebra/Chapter 9/Quadratic Equation (hist | edit) [2,141 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Quadratic Equation |previous=Completing the Square |next=Binomial Theorem }}</noinclude> ==Derivation== The solutions to the general-form quadratic function <math>ax^2+bx+c=0</math> can be given by a simple equation called the quadratic equation. To solve this equation, recall the ''completed square form'' of the quadratic equation derived in the previous section: :<math>y=a\left(x+\frac{b}{2a}\right...")
  • 16:1316:13, 18 November 2024 Algebra/Chapter 9/Graphing (hist | edit) [1,532 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} A Quadratic function is a polynomial where the highest power is two. The basic form of this function is: F(X) = ax² + bx + c. Where, ax² is the ''quadratic term'', bx is the ''linear term'' and c is the ''independent term'' or "constant", which does not depend on the variable, x. The letters a and b are called "coefficients", a being the "leading coefficient". The standard form is F(X) = ax² + bx + c. The x-intercepts...")
  • 16:1116:11, 18 November 2024 Algebra/Chapter 6/Linear Equations and Functions (hist | edit) [9,034 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Linear Equations and Functions |previous=The Coordinate (Cartesian) Plane |next=Intercepts }}</noinclude> == What are Linear Equations? == In the functions section we talked about how a function is like a box that takes an independent input value and uses a rule defined mathematically to create a unique output value. The value for the output is dependent on the value that is p...")
  • 16:0916:09, 18 November 2024 Algebra/Chapter 6/Standard Form and Solving Slope (hist | edit) [2,086 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Standard Form and Solving Slope |previous=Slope |next= }}</noinclude> == Standard Form == Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C where A, B, C are all integers. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side...")
  • 16:0416:04, 18 November 2024 Algebra/Chapter 10/Graphing Polynomials (hist | edit) [1,757 bytes] GoreyCat (discuss | contribs) (Created page with "The graph of an equation represents all the points for which that equation are valid. The points where the different graphs intersect show the points that are valid for more than one equation in a system. For instance figure 1 shows a graph for the parabola <math>y=-x^2 +9</math>. 450px|right|Figure 1 {| cellspacing=0 align=center cellpadding=5px width=30% style="background: lightyellow; border: 1px solid gray; text-align:center;" |+ Tabl...")
  • 16:0216:02, 18 November 2024 Algebra/Chapter 5/Solutions (hist | edit) [529 bytes] GoreyCat (discuss | contribs) (Created page with "<!--The functions in exercises 1-4 use the variable and a constant. The functions in exercise 5-8 depend on the value of the variable x. All of these examples are functions because each input is mapped to at most one output, although notice that in the case of m(x) it is not defined for x=0 x+x shows the relationship between addition and multiplication. x*x shows a similar relationship between multiplication and exponentiation. x-x and x/x show the identity property of s...")
  • 16:0116:01, 18 November 2024 Algebra/Chapter 5/Functions (hist | edit) [16,853 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} :''See also: Calculus/Functions, Discrete Mathematics/Functions and relations'' <noinclude>{{navigation|Book=Algebra |current=Functions |previous=Inequalities |next=Function Graphing }}</noinclude> ---- ==Function as Box== Functions are another way of describing certain things mathematically. They are often described as a machine in a box open on two ends; you put something in one end, something happens to it in the middle, and somethi...")
  • 15:5515:55, 18 November 2024 Algebra/Chapter 6/Slope (hist | edit) [5,216 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Slope |previous=Intercepts |next=Standard Form and Solving Slope }}</noinclude> ==Slope== Slope is the measure of how much a line moves up or down related to how much it moves left to right. <center> Image:slope.gifImage:points.gif </center> In this image, the slope of the line is <math> \frac{y_2 - y_1}{x_2 - x_1} </math>. Parallel lines are those that have the same slope and do not touch....")
  • 15:5215:52, 18 November 2024 Algebra/Chapter 7/Graphing Systems of Inequalities (hist | edit) [2,412 bytes] GoreyCat (discuss | contribs) (Created page with "<sup>Superscript text</sup>{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Inequalities |previous=Interval Notation |next=Functions }}</noinclude> ==Inequalities in 2 variables== right|thumb|A graph of an inequality in 2 variables. Linear inequalities in 2 variables are typically in the form of <math>y<mx+b \!\ </math>, where ''m'' is the slope of the line and ''b'' is the y-intercept. Graphing an inequality is...")
  • 15:4815:48, 18 November 2024 Algebra/Chapter 17/Parabolas (hist | edit) [3,821 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Parabola |previous=Complex Numbers |next=Circle }}</noinclude> right|300px == Geometric Definition == A parabola is the set of points that is the same distance away from a single point called the '''focus''' and a line called the '''directrix'''. The distance to the line is taken as the perpendicular distance. One important point on the parabola itse...")
  • 15:4515:45, 18 November 2024 Algebra/Chapter 7/Systems of Equations (hist | edit) [21,836 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Systems of Equations |previous=Function_Graphing |next=Compound and Absolute Value Inequalities }}</noinclude> == Systems of Simultaneous Equations == In a previous chapter, solving for a single unknown in one equation was already covered. However, there are situations when more than one unknown variable is present in more than one equation. When in a given problem, more than one algebraic equation...")
  • 04:2104:21, 18 November 2024 Algebra/Chapter 12/Logarithms (hist | edit) [6,767 bytes] GoreyCat (discuss | contribs) (Created page with "Logarithms (commonly called "logs") are a specific instance of a function being used for everyday use. Logarithms are used commonly to measure earthquakes, distances of stars, economics, and throughout the scientific world. It basically answers the question: what power do I have to raise this base to, to get this result. ==Logarithms== In order to understand logs, we need to review exponential equations. Answer the following problems: <quiz display=simple points="1/1">...")
  • 04:1704:17, 18 November 2024 Algebra/Chapter 17/Ellipses (hist | edit) [1,227 bytes] GoreyCat (discuss | contribs) (Created page with "{{{{BOOKTEMPLATE}}/Page}} <noinclude>{{navigation|Book=Algebra |current=Ellipse |previous=Circle |next=Hyperbola }}</noinclude> right right An ellipse is the collection of points that are equidistant from two points, called ''foci'' (singular ''focus''). The foci are found on the '''major axis''', which has a length of 2a. The '''minor axis''' is 2b, and is smaller. The "roundness" or "longness" of an ell...")
  • 04:1504:15, 18 November 2024 Algebra/Chapter 20/Complex Numbers (hist | edit) [23,462 bytes] GoreyCat (discuss | contribs) (This will be broken down into smaller chunks.)
Retrieved from "https://en.wikibooks.org/w/index.php?title=User:Dark_Mage/New_Pages&oldid=4409902"