what is connected region ?

-
A region is said to be connected region if any two points of region D can be connected by a curve which lies completely within the region.
what is connected region ?
It is of two types
(i) Simply connected region
(ii) multi connected region 

(i)Simply connected region
A connected region is said to be a Simply connected if all the interior points of a closed curve C drawn in the region D are the points of the region D.
e.g
(ii) multi connected region
A domain or range which is not simply connected is called multi connected region.
e.g






Comments

Post a Comment

Popular posts from this blog

angle of contact.

-
It is defined as the angle between the tangent to the liquid surface at the point of contact and solid surface inside the liquid is called as angle of contact  The value of angle of contact depends upon  (i) Nature of solid and liquid in contact  (ii) Cleanliness of the surface in contact  (iii) Medium above the free surface of liquid 
Read more

what do we mean by electrophoresis & electroosmosis?

-
Image
Electrophoresis:- To determine charge on colloidal particles we study electrophoresis experiment. Definition: The movement of colloidal particles under an applied electric potential is called electrophoresis . In this experiment positively charged colloidal particles move towards cathode and negativity charged colloidal particles move towards anode and we can easily determine which colloidal particles are positively or negativity charged. Electroosmosis:- When electrophoresis i.e movement of particles is prevented by some suitable means, it is observed that the dispersion medium begins to move in the direction of electric field (anode to cathode).this phenomenon is called electroosmosis.
Read more

Difference between electrochemical & electrolytic cell

-
Answer:- ELECTROCHEMICAL            ELECTROLYTIC           CELL                                       CELL • Chemical energy          • Electrical energy converted into elec-       converted into c- -trical energy.                   -hemical energy. • Chemical reaction      • Chemical reactio is spontaneous.              -n is non-spontan-                                           eous. • Anode is negative.      • Anode is positive and cathode is               and cathode is positive.                ...
Read more