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UPDATE `aff_pdf_cache` SET `cache` = 'a:10:{i:0;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"270960\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:13:\"circleteam123\";s:9:\"author_id\";s:6:\"100235\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:22:\"Angle Between Two Line\";s:11:\"description\";s:756:\"The angle between two lines in a plane is defined to be\n<-- 0, if the lines are parallel;\n<-- the smaller angle having as sides the half-lines starting from the intersection\npoint of the lines and lying on those two lines, if the lines are not parallel.\nIf denotes the angle between two lines, it always satisfies the inequalities\nThis equation clicks in the case that m1m2=−1 , when the lines are perpendicular\nand equals to 2 .\nAlso, if one of the lines is parallel to y -axis, it has no slope; then the angle must\nbe deduced using the slope of the other line.\nIf one of the slopes is 0 , the angle between the two lines is just the angle between\none of the lines and the x -axis. Assume the other line has slope m , then formula\n(2) above becomes\n\";s:5:\"thumb\";s:40:\"images/t/2710/angle-between-two-line.jpg\";s:6:\"thumb2\";s:41:\"images/t2/2710/angle-between-two-line.jpg\";s:9:\"permalink\";s:22:\"angle-between-two-line\";s:5:\"pages\";s:1:\"4\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:1;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"273152\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:13:\"circleteam123\";s:9:\"author_id\";s:6:\"100235\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:27:\"Distance Between Two Points\";s:11:\"description\";s:1044:\"Why is it that point-to-point integration has such a bad reputation and negative\nconnotation? We’ve all seen the infamous hairball (or spaghetti) picture of\ninformation exchanges between systems that looks something like this:\nBut point-to-point is not the problem – variation is. When different teams develop\npoint interfaces without standards or re-useable components and without shared\ngovernance and controls, the result is a tangled hairball every time.\nA million integration points is not a problem if they have been implemented using\ncommon patterns and are monitored, managed and updated using data-driven\nautomated tools.\nAirlines keep track of millions of reservations, retailers sell millions of products and\nweb search engines keep track of millions (if not billions) of web pages because\nthey have standardized the process and turned it into an automated data-driven\nself-service system. We can do the same for data integration.\nIn fact we have. It’s called Informatica Cloud. Cloud services allow end-users (not\n\";s:5:\"thumb\";s:45:\"images/t/2732/distance-between-two-points.jpg\";s:6:\"thumb2\";s:46:\"images/t2/2732/distance-between-two-points.jpg\";s:9:\"permalink\";s:27:\"distance-between-two-points\";s:5:\"pages\";s:1:\"4\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:2;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"528726\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:7:\"nikolos\";s:9:\"author_id\";s:6:\"615325\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:38:\"Zbigniew Brzezinski - Between Two Ages\";s:11:\"description\";s:22:\"You should read this..\";s:5:\"thumb\";s:54:\"images/t/5288/zbigniew-brzezinski-between-two-ages.jpg\";s:6:\"thumb2\";s:55:\"images/t2/5288/zbigniew-brzezinski-between-two-ages.jpg\";s:9:\"permalink\";s:36:\"zbigniew-brzezinski-between-two-ages\";s:5:\"pages\";s:3:\"123\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:3;O:8:\"stdClass\":13:{s:2:\"id\";s:5:\"28713\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:5:\"elias\";s:9:\"author_id\";s:4:\"4441\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:26:\"Hung Up Between Two Sticks\";s:11:\"description\";s:26:\"Hung Up Between Two Sticks\";s:5:\"thumb\";s:43:\"images/t/288/hung-up-between-two-sticks.jpg\";s:6:\"thumb2\";s:44:\"images/t2/288/hung-up-between-two-sticks.jpg\";s:9:\"permalink\";s:26:\"hung-up-between-two-sticks\";s:5:\"pages\";s:1:\"5\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:4;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"119531\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:7:\"kriszta\";s:9:\"author_id\";s:1:\"0\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:36:\"11 X1 T05 07 Angle Between Two Lines\";s:11:\"description\";s:210:\"\n

  1. Angle Between Two Lines
  2. Angle Between Two Lines y x
  3. Angle Between Two Lines y x
  4. Angle Between Two Lines y x
  5. Angle Between Two Lines y x
  6. Angle Between…\";s:5:\"thumb\";s:76:\"data/thumb/11-X1-T05-07-Angle-Between-Two-Lines-Webinar-Transcript-12973.jpg\";s:6:\"thumb2\";s:77:\"data/thumb2/11-X1-T05-07-Angle-Between-Two-Lines-Webinar-Transcript-12973.jpg\";s:9:\"permalink\";s:36:\"11-x1-t05-07-angle-between-two-lines\";s:5:\"pages\";s:2:\"31\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:5;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"250530\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:15:\"tutorciecleteam\";s:9:\"author_id\";s:5:\"78247\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:16:\"Coordinate Point\";s:11:\"description\";s:917:\"A number pair which represents the location of a Point in two - dimensional space is\nknown as coordinates of a point. Suppose we have Coordinate of a Point R (5, -9)\nthen it defines the location of points.\nWhere ‘R’ is the name and the Numbers in the bracket is the ‘x’ and ‘y’ coordinates.\nThe first number or x – coordinate denotes how far the horizontal axis is and y-\ncoordinates denote how long up and down the axis is. The x – axis or horizontal is\nalso known as Abscissa of the points. The y – axis or vertical horizontal is also known\nas ‘ordinate’ of the points.\nWhen we have two pairs in a plane and we want to find the Distance between two\npoints then we can find the distance between two points.\nExample 1 :- The diagram shows the line segment AB, where A = (2,4) and B =\n(8,9). What is the coordinate of the midpoint of the line segment?\n\";s:5:\"thumb\";s:34:\"images/t/2506/coordinate-point.jpg\";s:6:\"thumb2\";s:35:\"images/t2/2506/coordinate-point.jpg\";s:9:\"permalink\";s:16:\"coordinate-point\";s:5:\"pages\";s:1:\"4\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:6;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"273158\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:13:\"circleteam123\";s:9:\"author_id\";s:6:\"100235\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:18:\"Tangent And Normal\";s:11:\"description\";s:944:\"Tangents and Normal is the introducing part in the Application of Derivatives. The\nchapter starts with basic concepts of equations of tangent and normal to general\ncurves, angle of intersection between two curves and goes on to discuss more\nfundamental concepts such as the monotonocity of functions.\nThe illustrations are so chosen that you will get a complete insight. The analytical\nand graphical methods have been used to make you have the feel of the things.\n\"Tangents and Normal\" is one of the scoring chapters of Differential Calculus in\nthe Mathematics syllabus of IIT JEE, AIEEE and other engineering examinations.\nIt requires a good understanding of graphs and further helps in the portion of\nCoordinate Geometry, another important unit in the syllabus.\nThe chapter is important not only because it fetches 2-3 questions in most of the\nengineering examination but also because it is a helping hand in the unit of\nCoordinate Geometry.\n\";s:5:\"thumb\";s:36:\"images/t/2732/tangent-and-normal.jpg\";s:6:\"thumb2\";s:37:\"images/t2/2732/tangent-and-normal.jpg\";s:9:\"permalink\";s:18:\"tangent-and-normal\";s:5:\"pages\";s:1:\"4\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:7;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"239917\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:20:\"womenswimwearbikinis\";s:9:\"author_id\";s:5:\"65661\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:19:\" Two piece swimsuit\";s:11:\"description\";s:235:\"we have the best bikinis ever in many different styles and many different material as well you can buy the one which you like the most and sexy two piece swimsuit makes you look hot and make you look great and very comfortable as well.\";s:5:\"thumb\";s:36:\"images/t/2400/two-piece-swimsuit.jpg\";s:6:\"thumb2\";s:37:\"images/t2/2400/two-piece-swimsuit.jpg\";s:9:\"permalink\";s:18:\"two-piece-swimsuit\";s:5:\"pages\";s:1:\"1\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:8;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"250529\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:15:\"tutorciecleteam\";s:9:\"author_id\";s:5:\"78247\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:19:\"Composite Functions\";s:11:\"description\";s:773:\"To understand about the concept of composite functions, first we must know that\nwhat is a function.\nThe study of function is the study of mathematics, which help us to solve many\nequations with single variable or more than one variable.\nWe say that the function is any mathematical expression which helps to change the\nvalue of one variable into another. It gives us the set pattern which helps us to\nchange the value of the number in the same way.\nNow let us say that the composite function is the combination of any two functions,\nwhere we will apply the first function and get the solution for the first function.\nThis value of the first function will help us to get the value of the second function, by\nsimply putting the value of first function into another function.\n\";s:5:\"thumb\";s:37:\"images/t/2506/composite-functions.jpg\";s:6:\"thumb2\";s:38:\"images/t2/2506/composite-functions.jpg\";s:9:\"permalink\";s:19:\"composite-functions\";s:5:\"pages\";s:1:\"4\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}i:9;O:8:\"stdClass\":13:{s:2:\"id\";s:6:\"250531\";s:6:\"status\";s:8:\"verified\";s:11:\"author_name\";s:15:\"tutorciecleteam\";s:9:\"author_id\";s:5:\"78247\";s:14:\"author_website\";s:0:\"\";s:5:\"title\";s:14:\"Graph Coloring\";s:11:\"description\";s:1099:\"n graph theory, graph coloring is a special case of graph labeling; it is an assignment\nof labels traditionally called \"colors\" to elements of a graph subject to certain\nconstraints. In its simplest form, it is a way of coloring the vertices of a graph such\nthat no two adjacent vertices share the same color; this is called a vertex coloring.\nSimilarly, an edge coloring assigns a color to each edge so that no two adjacent\nedges share the same color, and a face coloring of a planar graph assigns a color to\neach face or region so that no two faces that share a boundary have the same color.\nVertex coloring is the starting point of the subject, and other coloring problems can be\ntransformed into a vertex version. For example, an edge coloring of a graph is just a\nvertex coloring of its line graph, and a face coloring of a planar graph is just a vertex\ncoloring of its planar dual.\nHowever, non-vertex coloring problems are often stated and studied as is. That is\npartly for perspective, and partly because some problems are best studied in non-\nvertex form, as for instance is edge coloring.\n\";s:5:\"thumb\";s:32:\"images/t/2506/graph-coloring.jpg\";s:6:\"thumb2\";s:33:\"images/t2/2506/graph-coloring.jpg\";s:9:\"permalink\";s:14:\"graph-coloring\";s:5:\"pages\";s:1:\"4\";s:6:\"rating\";s:1:\"0\";s:5:\"voter\";s:1:\"0\";}}', `cache_on` = '2015-02-27 19:33:40' WHERE `aff_id` = '479057'