Nostrils flare as a natural response to increased physical exertion or stress. When an individual is breathing heavily, their nostrils may flare to allow for more air intake. This can occur during exercise, excitement, or when the body is under stress. Flaring nostrils help to maximize the amount of air that can be taken in with each breath, supporting the body's increased oxygen needs during these situations. **

Local minima and maxima refer to the points on a function where the function reaches a low or high point, respectively, within a small neighborhood of that point. Global minima and maxima, on the other hand, refer to the lowest and highest points on the entire function, respectively. In other words, global minima and maxima are the absolute lowest and highest points on the function, while local minima and maxima are only the lowest and highest points within a specific range. These concepts are important in optimization and calculus, as they help identify the best and worst points of a function. **

Gazprom is flaring gas in Siberia due to a combination of factors. One reason is the lack of infrastructure to capture and transport the gas to market. Additionally, the remote location and harsh climate of Siberia make it challenging and costly to develop the necessary infrastructure. Furthermore, economic considerations may also play a role, as it may be more cost-effective for Gazprom to flare the gas rather than invest in the infrastructure needed to capture and transport it. **

Local extrema are points on a function where the function reaches a maximum or minimum value within a small neighborhood of that point. Global extrema, on the other hand, are points where the function reaches the maximum or minimum value over the entire domain of the function. Local extrema can occur at points where the derivative of the function is zero, while global extrema can occur at endpoints of the domain or at points where the derivative is zero. **

Local extrema are the highest or lowest points within a specific interval or region of a function. They can be either a local maximum (the highest point in the interval) or a local minimum (the lowest point in the interval). Global extrema, on the other hand, are the absolute highest or lowest points of the entire function, not just within a specific interval. These points represent the overall maximum or minimum values of the function. **

Global extreme points are the highest or lowest points in a function over its entire domain. They represent the absolute maximum or minimum values of the function. Local extreme points, on the other hand, are the highest or lowest points within a specific interval or neighborhood of a function. They represent the maximum or minimum values within a smaller range, but not necessarily the absolute maximum or minimum of the entire function. **

KB changes because knowledge is constantly evolving and expanding. New information, research, and discoveries are being made all the time, leading to updates and revisions in our understanding of various topics. Additionally, as society and technology progress, our perspectives and interpretations of knowledge also change. Therefore, KB must adapt and change to reflect the most current and accurate information available. **

No, a local extremum is not necessarily a global extremum. A local extremum is a point where a function reaches a maximum or minimum value within a small neighborhood, while a global extremum is the absolute maximum or minimum value of the function over its entire domain. A local extremum may or may not be the global extremum depending on the behavior of the function in the rest of the domain. **