fundamental

(noun)

A leading or primary principle, rule, law, or article, which serves as the groundwork of a system; essential part, as, the fundamentals of linear algebra.

Related Terms

Examples of fundamental in the following topics:

  • The Fundamental Theorem of Calculus

    • The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function to the concept of the integral.
    • The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function to the concept of the integral.
    • The first published statement and proof of a restricted version of the fundamental theorem was by James Gregory (1638–1675).
    • We can see from this picture that the Fundamental Theorem of Calculus works.
    • Taking the limit as $h$ tends to zero completes the proof of the Fundamental Theorem of Calculus.

  • Fundamental Concepts in Accounting

    • In order to prepare the financial statements, it is important to adhere to certain fundamental accounting concepts.
    • In order to prepare the financial statements, it is important to adhere to certain fundamental accounting concepts.

  • Christian Fundamentalism

    • Christian Fundamentalism, also known as Fundamentalist Christianity, or Fundamentalism, arose out of British and American Protestantism in the late 19th and early 20th centuries among Evangelical Christians.
    • Fundamentalism has roots in British and American theology of the 19th century.
    • A third school of thought grew out of the release of a 12-volume set of 90 essays called, The Fundamentals: A Testimony to the Truth.
    • Riley created, at a large conference in Philadelphia in 1919, the World's Christian Fundamentals Association (WCFA).
    • Analyze the origins of Christian Fundamentalism in late 19th- and early 20th-century America

  • The Fundamental Theorem of Algebra

    • The fundamental theorem states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.
    • The fundamental theorem of algebra says that every non-constant polynomial in a single variable $z$, so any polynomial of the form
    • There are lots of proofs of the fundamental theorem of algebra.
    • For a general polynomial $f(x)$ of degree $n$, the fundamental theorem of algebra says that we can find one root $x_0$ of $f(x)$.
    • So an alternative statement of the fundamental theorem of algebra is:

  • Standing Waves in Air Columns

    • All resonant frequencies are integral multiples of the fundamental, and they are collectively called harmonics.
    • The fundamental is the first harmonic, the first overtone is the second harmonic, and so on. shows hows the fundamental and the first three overtones (the first four harmonics) in a tube closed at one end.
    • Here, f1 is the fundamental, f3 is the first overtone, and so on.
    • The fundamental and overtones can be present simultaneously in a variety of combinations.
    • The fundamental and three lowest overtones for a tube closed at one end.

  • The Accounting Equation

    • The fundamental accounting equation, which is also known as the balance sheet equation, looks like this: $\text{assets} = \text{liabilities} + \text{owner's equity}$.
    • The fundamental accounting equation is kept in balance after every business transaction because everything falls under these three elements in a business transaction.
    • Looking at the fundamental accounting equation, one can see how the equation stays is balance.

  • Fundamental Accounting Equation

    • The fundamental accounting equation can actually be expressed in two different ways.

  • The Future of Religion

    • Fundamentalism describes a movement to return to what is considered the defining or founding principles of a religion.
    • A full analysis of what constitutes religious fundamentalism is beyond the scope of this chapter.
    • However, the interested reader is encouraged to explore this topic further by reading the Wikipedia article on fundamentalism.
    • Kenneth Wald points out how religious fundamentalism can be detrimental to politics, specifically a democratic system.
    • What the future of religious fundamentalism holds for human society is unknown, but because of the impact of this particular religious approach on society today, religious fundamentalism warrants continued study.

  • Preface

    • Most of the notes were written during my first reinvention of the course, calling it "Fundamentals of Astrophysics" instead of the former "Non-Stellar Astrophysics. " The current edition is my second reinvention of the course corresponding to my second stint at teaching it.
    • Whereas "Fundamentals of Astrophysics" sounds more impressive, it actually does not mean much in particular, except giving the connotation that the course is going to be difficult; consequently, in the interest of giving this broad and challenging subject some context, this edition will attempt to focus on a particular object — the Crab Nebula.

  • Fundamental Theorem for Line Integrals

    • The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated by evaluating the original scalar field at the endpoints of the curve.
    • It is a generalization of the fundamental theorem of calculus to any curve in a plane or space (generally $n$-dimensional) rather than just the real line.
    • where the definition of the line integral is used in the first equality and the fundamental theorem of calculus is used in the third equality.