Two childhood cases of pigmented dermatofibrosarcoma protuberans with atrophic change

The color of the skin is influenced by a number of pigments, including melanin, carotene, and hemoglobin. Recall that melanin is produced by cells called melanocytes, which are found scattered throughout the stratum basale of the epidermis. The melanin is transferred to the keratinocytes via melanosomes.
Melanin occurs in two primary forms: eumelanin that provides black and brown pigment and pheomelanin that provides red color. Dark-skinned individuals produce more melanin than those with pale...

Throughout its ~4.5 billion year history, the Earth has experienced periods of warming and cooling. However, the current drastic increase in global temperatures is well outside of the Earth’s cyclic norms, and evidence for human-caused global climate change is compelling. Paleoclimatology, the study of ancient climate conditions, provides ample evidence for human-caused global climate change by comparing recent conditions with those in the past.

The rate of change is a central concept in mathematics that quantifies how one variable varies in response to another. It serves as a foundational tool in modeling dynamic systems across disciplines such as physics, biology, economics, and engineering. Understanding both average and instantaneous rates of change enables the analysis of behavior in functions that describe real-world phenomena.Average Rate of ChangeFor a function f(x) defined over an interval [x1,x2], the average rate of change...

In mechanics, work is done on an object when the force acting on it displaces the object. In thermodynamics, work done on a system can be estimated when the system's volume changes during any thermodynamic process.
Consider a gas confined to a cylinder fitted with a movable piston at one end. If the gas expands from volume V1 to volume V2, it exerts a force on the piston, such that the piston moves by a distance dr.
The work done by the gas on the piston can be expressed as

The Net Change Theorem is a fundamental principle in calculus that establishes a direct relationship between a function’s rate of change and its accumulated change over an interval. Mathematically, it states that the definite integral of a function's derivative over a given interval [a,b] yields the net change in the original function:This theorem has significant applications in various real-world scenarios, including physics, economics, and engineering. A particularly useful application...

Erik Erikson, a stage theorist, adapted Freud's theory to emphasize social factors in personality development throughout life, a concept known as psychosocial development. Unlike Freud, who focused on early childhood, Erikson believed that personality evolves across eight life stages, each marked by a specific challenge or "crisis." Successful resolution of each stage fosters competence, while failure may lead to feelings of inadequacy.
The first four of Erikson's eight...