They are basic functions on which other functions depend. for ex. x^2 is a parent function for 2x^2.
leadership as a managerial function drives all other functions.
yes yes No, vertical lines are not functions
yes yes No, vertical lines are not functions
All functions are relations but all relations are not functions.
No, heat and work are not path functions. Heat and work are energy interactions between a system and its surroundings that depend on the process taken, not just the initial and final states. Path functions are properties whose values depend on the path followed to reach that state, such as change in temperature.
The function of a switch is to open or close a path for electricity.
Network Layer - Does path determination and logical addressing.
quadratic
The function of a motor neuron is to be a path of transport. It is a path that transmits impulses to the effector tissues like muscles and glands from the central nervous system.
Alignment group is a structured group that functions along the fixed path of any plan or ideology to induce the non aligned group to fall in the path of action.
Heat and work are path functions because they depend on the process taken to reach a particular state, not just the initial and final states themselves. The amount of heat and work transferred can vary based on the specific path taken during a thermodynamic process, making them path-dependent quantities. This is in contrast to state functions like temperature and pressure, which only depend on the current state of the system.
A path function in thermodynamics depends on the path taken to reach a particular state, such as work and heat, while a point function depends only on the state of the system, like temperature, pressure, and internal energy. Path functions are not uniquely determined by the initial and final states, while point functions are determined by the state variables of the system at a specific moment regardless of how the system reached that state.
A path function in thermodynamics is a function whose value depends on the path taken to reach a particular state. Examples include work and heat. These functions are not solely determined by the initial and final states but also by the process followed.
Distance traveled is a path function, as it depends on the specific path taken between two points. State functions, on the other hand, depend only on the initial and final states of a system, such as temperature, pressure, or internal energy.
If you hold a chain at both ends and let it hang loosely, the path of the chain follows the path of the hyperbolic cosine. (This is also the shape of the St. Lois Arch.) Also, the integrals of many useful functions. For example, if an object is falling in a constant gravitational field with air resistance, the velocity of the object as a function of time involves the inverse hyperbolic tangent.
Heat capacity is NOT a path function. It is a STATE function. It depends on the phase of the material, the temperature and the pressure. Usually heat capacity is known at some particular condition and then a calculation is required to estimate it at the condition of interest. Performing these calculations should always result in the same final value no matter the path you took to get to the value - hence it is a STATE function rather than PATH. Path functions would be things like WORK and HEAT (for which the state function "heat capacity" might be used in the calculations)