Relation & Function - STREE-KM
... Well, it has to be an integer ... ... and it has to be less than (or maybe equal to) 2.31, right? 2 is less than 2.31 ... but 1 is also less than 2.31, and so is 0, and -1, -2, -3, etc. Oh no! There are lots of integers less than 2.31. So which one do we choose? Choose the greatest one (which is 2 i ...
... Well, it has to be an integer ... ... and it has to be less than (or maybe equal to) 2.31, right? 2 is less than 2.31 ... but 1 is also less than 2.31, and so is 0, and -1, -2, -3, etc. Oh no! There are lots of integers less than 2.31. So which one do we choose? Choose the greatest one (which is 2 i ...
Series - The Maths Orchard
... You need to be able to use all you have learnt to calculate the sum of a more complex series, made up of several terms As you saw in section 5C, you can take out a coefficient of a term in order to sum it. You can also do this with the sums for r2 and r3. ...
... You need to be able to use all you have learnt to calculate the sum of a more complex series, made up of several terms As you saw in section 5C, you can take out a coefficient of a term in order to sum it. You can also do this with the sums for r2 and r3. ...
The exponential function
... exponent. There are various cases to consider: If m, n are positive integers • an = a × a × · · · × a with n factors • a1/n means the nth root of a. That is, a1/n is that positive number which satisfies (a1/n ) × (a1/n ) × · · · × (a1/n ) = a where there are n factors on the left hand side. • am/n = ...
... exponent. There are various cases to consider: If m, n are positive integers • an = a × a × · · · × a with n factors • a1/n means the nth root of a. That is, a1/n is that positive number which satisfies (a1/n ) × (a1/n ) × · · · × (a1/n ) = a where there are n factors on the left hand side. • am/n = ...
Functional decomposition
Functional decomposition refers broadly to the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed (i.e., recomposed) from those parts by function composition. In general, this process of decomposition is undertaken either for the purpose of gaining insight into the identity of the constituent components (which may reflect individual physical processes of interest, for example), or for the purpose of obtaining a compressed representation of the global function, a task which is feasible only when the constituent processes possess a certain level of modularity (i.e., independence or non-interaction). Interactions between the components are critical to the function of the collection. All interactions may not be observable, but possibly deduced through repetitive perception, synthesis, validation and verification of composite behavior.