## You can cite it as: Landers, R.N

### Courses of Study | IIT Gandhinagar

The module provides a first introduction to abstract ideas of differential geometry of curves and surfaces, with some elements of knot theory and hyperbolic geometry. Building on experience with vectors in three dimensions and elementary calculus, the modules asks what one can say of mathematical interest about an arbitrary curve or surfaces. The module starts with the problem of how to tell if a curve or piece of string is knotted (other than by pulling it about, ie. mathematically) before moving on to differential geometric (calculus based) methods of measuring properties such as 'torsion' and 'curvature' of a curve or surface. The module ends with exposure to more abstract hyperbolic surfaces and higher-dimensional spaces defined by identifications and symmetries. There will be some proofs.

### Tools for the Microbiome: Nano and Beyond - ACS …

measure and maximise them. It should include:
a) An explanation of revenue/yield management (ref. 4.1).
b) An analysis of sales techniques used to promote and maximise revenue (ref. 4.2).
c) An evaluation of the usage of forecasting and statistical data in the room division (ref 4.3).
d) A description with calculation of performance indicators used to measure the success of accommodation sales (ref 4.4).
The case scenario is as follow:
The Five Seasons hotel located in Winchester has the following room breakdown for May
Rooms Beds Occupancy
75 single rooms = 75 55 occupied
60 Twin rooms = 120 50 occupied by two people, 5 occupied by one person
80 Double rooms = 160 30 occupied by two people, 40 occupied by one person
Total 215 Rooms 355 180 rooms let (260 sleepers)

Fredrickson advances a new theory describing the form and function of joy, interest, contentment, and love. In her new approach, she rejects two former common assumptions about emotion: "I propose discarding two key presumptions. The first is the presumption that emotions must necessarily yield specific action tendencies" . . . and "that emotions must necessarily spark tendencies for action. Some positive emotions seem instead to spark changes primarily in cognitive activity, with changes in physical activity (if any) following from these cognitive changes" (Fredrickson, 1998, p. 303). "So, in place of action tendencies, I propose speaking of " (Fredrickson, 1998, p. 303). Whereas negative emotions narrow a person's momentary thought–action repertoire, positive emotions broaden this repertoire. Thus, positive emotions "prompt individuals to discard time–tested or automatic (everyday) behavioral scripts and to pursue novel, creative, and often unscripted paths of thought and action" (Fredrickson, 1998, p. 304). Fredrickson's new paradigm also may explain how positive emotions may act to regulate negative emotions.