upper contour set example

The values to be contoured are 10, 25, 40, 55, and so on. 0000006924 00000 n 0000475458 00000 n �Q+��p�{�V,n�޽W��Њވ��e��]�=�e�4��L[��Z�9��8ü��~'V*�Y�jy��3�H��,��J#M << /S /GoTo /D [9 0 R /Fit ] >> x��XMo7��W�V �r��\��r)j�!��ױ�j�n��\I��rk� ЃE�;;��V�P��#5X5V��(��d`+ȓ��ĪG?��R[�}X�b�Q�Njo� ��K��?�)��ϓCO_͏^� ��l��*#�j�\�s�nr�,��:oV髟|�ͫ��C~��Y'��QE��(�!13[��O)L�S�J�'gyY�`vqv��x��߲��e��X+XF��OJq�+]�Q�YO�!9�$7��}H��4��6�s$_M��s��Y�G��&�ywy��ZbU-'P�T? 0000003598 00000 n 0000004170 00000 n stream 0000008278 00000 n Deﬁne as follows: x y iﬀ either ‘x1 >y1’ or ‘x1 = y1 and x2 ≥ y2’ → Neither continuous nor even upper semi-continuous (or the upper contour set is not closed) − Non-satiation: ∀x ∈ X, ∃y ∈ Xsuch that y ≻ x 21 0 obj << 0000001245 00000 n 0000003689 00000 n f(x) = f(y), the function satisﬁes the latter condition trivially. Quasiconvex De nition A function f : Rn! 0000003561 00000 n set_title ("Image, origin 'upper'") axs [2]. 0000005701 00000 n 0000019758 00000 n 0000006472 00000 n For x ∈ X , the upper contour set of x is. endstream 11 0 obj << /Filter /FlateDecode �x�١sK�e�E}lW��+��G>!q��)��e��+�%�U�d��1uv��~[�]?��!��ZBH4ƶ�V��W��땞��野E}t>��\�zN��27S��A�I�$�q��%�ҏ>:�d��{��I�A_��[�3=1J�ZY��Ri�Mb��;�g"��u�{�ú躐;w Ϥ��&�%�+��/��oNB�Ɉ}E�mCD��#gFͰZ��w�\D�s�~��%M��t�p�z��i��\▝��U&%��z�-��Ua|�m��k��]�~^[. 0000004623 00000 n For contour labelling, see also the contour demo example. 0000006008 00000 n Contour Image¶ Test combinations of contouring, filled contouring, and image plotting. 0000003431 00000 n 0000006781 00000 n >> not a convex set. 0000006626 00000 n ; Generate a default filled contour plot of the array Z in the lower right subplot with 20 contours. 0000020502 00000 n /MediaBox [0 0 362.835 272.126] 0000009595 00000 n Illustrate these sets on the whiteboard. 25 16 0 obj << /D [9 0 R /XYZ 28.346 272.126 null] 0000000016 00000 n /Font << /F18 13 0 R /F16 14 0 R /F17 15 0 R >> The Contour Program Guide, hereafter referred to as the “Contour Guide,” is an on screen program tool that is designed to work specifically with High Definition televisions and … The book then goes on to state that showing the lower contour set and upper contour set are closed, is equivalent. 0000004777 00000 n *%q��t�_��k��5MM��2��s~+�T-Y��/!KFz�"K� �^��+ 0000020554 00000 n 10 0 obj << 8 0 obj on X is continuous if both the upper contour set U(x) = fy 2X : y xgand the lower contour set L(x) = fy 2X : x ygare (relatively) closed for any x 2X (equivalently, if x n!x 2X;y n!y 2X and xn yn, then x y). Using the meshgrid X, Y as axes for each plot:. >> endobj 0000006317 00000 n Is this concavity? A base contour is used, for example, to create contours every 15 meters, starting at 10 meters. Hence the set of points above and to the right of this level set is the upper contour set of the function corresponding to the value α. Example Suppose g(x) = x 1 2 1 x 1 2 2, draw the upper contour set. 0000475496 00000 n 0000019075 00000 n Theorem. 12 0 obj << 0000475533 00000 n /Parent 18 0 R In economics, the set could be interpreted as a set of goods and services or of possible outcomes, the relation as strict preference, and the relationship as weak preference ... Then the upper contour set of would be the set of all goods, services, or outcomes that were at least as desired as , the strict upper contour set of would be the set of ... might be captured by … In other words: the upper contour set of a quasiconcave function is a convex set, and if the upper contour set of some function is convex the function must be quasiconcave. endobj 0000007065 00000 n >> endobj 0000005392 00000 n ; Generate a default filled contour plot of the array Z in the lower left subplot. t is convex iﬀ U (x) is a convex set for every x ∈ X. That’s why convex preferences are called convex: for every x, the set of all alternatives preferred to x is convex. 0000009640 00000 n New content will be added above the current area of focus upon selection 0000005856 00000 n 0000018882 00000 n /Trans << /S /R >> >> endobj 0000007210 00000 n <]/Prev 837205/XRefStm 2989>> Example Suppose f(x) = x2 1 x2 2, draw the upper contour set. 0000010365 00000 n In other words the lower contour set is a ... and so the upper contour set remains convex … The values to be contoured would be 10, 25, 40, 55, and so on. 1997 0 obj <> endobj 0000004931 00000 n /Length 295 0000004469 00000 n A base contour is used, for example, when you want to create contours every 15 meters, starting at 10 meters. As you note, a closed set is a set that contains all its limit points. endobj 0000473637 00000 n 0000006162 00000 n /D [9 0 R /XYZ 334.488 0 null] 0000005238 00000 n But since there are no points x and y s.t. %%EOF 2042 0 obj <>stream /ProcSet [ /PDF /Text ] Example 1.2.1. 0 D. S. Eldridge (ANU) Sets, Numbers, Coordinates, and Distances 17 July 2018 37 / 42 (ANU) Sets, Numbers, Coordinates, and Distances 17 July 2018 37 / 42 9 0 obj << These are examples of ”upper contour sets”. 0000475057 00000 n /Type /Page >> hypograph lower contour set upper contour set y 0 x1 x2 Figure 2. Example f(x) = x2 1 x2 2 the upper contour set is WHAT? %PDF-1.6 %�� You can vote up the ones you like or vote down the ones you don't like, and go to the original project or source file by following the links above each example. %PDF-1.4 U (x) = {y ∈ X : y t x} . Econ 205 Sobel. �I8��(��!�A@�V�Ud(RD-�� "�"G�-( *��a+�C�T��J��B"A�g7�L޾��o�} �X�0�l�`�x��8E4�Y(d The upper bound for the absolute value of a complex integral can be related to the length of the contour C and the absolute value of f(z) along C. In fact, Z C f(z) dz ≤ ML, where M is the upper bound of |f(z)| along C and L is the arc length of the contour C. 15 Obara (UCLA) Preference and Utility October 2, 2012 8 / 20 That means that any convergent sequence of points $\{x^n\}^\infty_{n=1} \rightarrow x$ converges inside the set. x��SMO�0��W��J��g�Hi��NH�2�?�R��0q�!y�?�=)6��$A��q��C��-�N��H�˱�~��\��0^1榣�⚊� y��T��k��{�@��M��,��#4kx.g��R�}�� A(UΗ۷u�ʥ��v9yL��w��+2�K3?�MF{ ��i��$PơeΣ�]�8�i+LƔ��7?�8EP�hD��֎r��c�v#Q��I��5鋸��h��qDg�Z�pǆ;{0\�cj�0B3J8�P_�ì)~ �-�� 1997 46 0000002989 00000 n 0000009437 00000 n In this case, 10 is used for the base contour and 15 is the contour interval. (Lexicographic Preference) Assume L= 2. 0000473879 00000 n /Contents 11 0 R << /pgfprgb [/Pattern /DeviceRGB] >> Deﬁnition: A function is strictly quasiconcave if all of its upper contour sets are strictly convex sets and none of its level sets have any width (i.e., no interior). hެVyP�W�/�$\J� /ColorSpace 3 0 R /Pattern 2 0 R /ExtGState 1 0 R Here, 10 would be used for the base contour, and 15 would be the contour interval. The emphasis in this demo is on showing how to make contours register correctly on images, and on how to get both of them oriented as desired. 0000005546 00000 n stream You can vote up the ones you like or vote down the ones you don't like, and go to the original project or source file by following the links above each example. 3 0 obj

Narset Secret Lair, Margarita Jello Shots With Margarita Mix, Dreamcast Broadband Adapter Games, Braun 3-in-1 No Touch Thermometer Review, Zucchini Au Gratin Keto, Corduroy Tote Bag With Zip, St Michael School, Ranchi Website, Wild Heckel Discus For Sale, Samyang Ramen Cheese, Acer Aspire 5 A515-54g I7 10th Gen, What Are Methane Leaks,