![]() ![]() (And the essence of what I’ll say applies just as well to other current “large language models” as to ChatGPT.) I should say at the outset that I’m going to focus on the big picture of what’s going on-and while I’ll mention some engineering details, I won’t get deeply into them. But how does it do it? And why does it work? My purpose here is to give a rough outline of what’s going on inside ChatGPT-and then to explore why it is that it can do so well in producing what we might consider to be meaningful text. That ChatGPT can automatically generate something that reads even superficially like human-written text is remarkable, and unexpected. In addition, the closest pair of point’s problem, the algorithmic problem of finding two points that have the minimum distance among a larger set of points.“Wolfram|Alpha as the Way to Bring Computational Knowledge Superpowers to ChatGPT” » A discussion about the history of neural nets » Question 6: What is the minimum distance?Īnswer: Minimum distance refers to the minimum distance estimation, a statistical method for fitting a model to data. Moreover, theoretically, the shortest distance between two points is always zero. However, displacement can be negative, positive or zero because it is a vector quantity. Furthermore, distance is a scalar quantity or a magnitude. However, in the sphere, the geodesic is the segment of a great circle containing two points.Īnswer: No, the distance cannot be negative and also it never decreases. Question 4: What do us call the distance between two points?Īnswer: Distance refers to the area travelled by an object, while the shortest distance between two points is the length of a so-called geodesic between the points. Question 3: Write down the distance formula in maths?Īnswer: It is a very useful tool for finding the distance between two points that can be arbitrarily represented as points (x 1, y 1) and (x 2, y 2), However, distance formula is derived from Pythagorean theorem that is a 2 + b 2 + = c 2. Find the distance between these two points.Īnswer: Coordinates of A = (1,7) = (x1,y1)Īccording to the Distance Formula, the distance between points A and B is √29 units. Question 2: The coordinates of point A are (1,7) and the coordinates of point B are (3,2). Hence, according to the Distance Formula, the distance between points A and B is 5 units Find the distance between these two points.Īnswer: Coordinates of A = (-4,0) = (x1,y1)ĪB = √ ![]() Question 1: The coordinates of point A are (-4,0) and the coordinates of point B are (0,3). Remember, as there is a plus sign in between both the squared values, we cannot take them out of the square root without first performing the addition operation. What we derived just now is the Distance formula. To do that we use the Pythagoras Theorem. The only difference here will be that the y-coordinates remain the same and we subtract the x-coordinates. ![]() Similarly, we also find the length of side CB. If we observe carefully, subtracting the y-coordinate values of C from the y-coordinate value of A we get the distance between the points A and C.Īnd that my friends, is how we found the length of side AC. The only information we are left with are the y-coordinates. In order to find the length of side AC, we need to find the distance between points A and C. As we have already established the fact that AC is parallel to the y-axis, the x-coordinates will be the same and we cannot use it to calculate the distance.ĭownload NCERT Solutions for Class 10 Mathematics Since the sides, AC and BC are parallel to the y-axis and the x-axis respectively, what we now have is a right-angled triangle ACB where side AB is the hypotenuse, side AC is the perpendicular and CB is the base. That means both the axes are perpendicular to each other. It is a well-known fact that on the x-y coordinate plane the x-axis cuts the y-axis at 90 degrees. Therefore the coordinates of point C are C (x1,y2). Since we considered the point C to be parallel to x-axis the y-coordinate of C will be the same as the y-coordinate of B which is y2 and since C is also parallel to the y-axis the x-coordinate will be equal to the x-coordinate of A which is x1. Now complete the triangle by joining the points A and B to a common point C such that AC is parallel to the y-axis while BC is parallel to the x-axis. Connect the points A and B directly forming a slanting line AB. In the above diagram, let’s consider 2 points A(x1,y1) and B(x2,y2). Let us take a look at how the formula was derived.īrowse more Topics under Coordinate Geometryĭownload Coordinate Geometry Cheat Sheet Below ![]() These points are usually crafted on an x-y coordinate plane. Derived from the Pythagorean Theorem, the distance formula is used to find the distance between any 2 given points. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |