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Rate (mathematics)

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In mathematics, a rate is the quotient of two quantities, often represented as a fraction. If the divisor (or fraction denominator) in the rate is equal to one expressed as a single unit, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the dividend (the fraction numerator) of the rate expresses the corresponding rate of change in the other (dependent) variable.

SpeedSpeedIn kinematics, the speed of a moving object is the rate at which the distance travelled by the object changes with time. The average speed of an object in an interval of time is the distance travelled by the object divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero. Speed is the magnitude of velocity (a vector), which indicates additionally the direction of motion.FractionFractionRatio of two numbersA cake with one quarter (one fourth) removed. The remaining three fourths are shown by dotted lines and labeled by the fraction 1⁄4.A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.QuantityQuantity or amount is a property that includes numbers and quantifiable phenomena such as mass, time, distance, heat, angle, and information. Quantities can commonly be compared in terms of "more", "less", or "equal", or by assigning a numerical value multiple of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation.Heart rateHeart rateSpeed of the heartbeat, measured in beats per minuteA medical monitoring device displaying a normal human heart rateHeart rate is the frequency of the heartbeat measured by the number of contractions of the heart per minute (beats per minute or bpm). The heart rate varies according to the body's physical needs, including the need to absorb oxygen and excrete carbon dioxide.QuotientQuotientIn arithmetic, a quotient (from Latin: quotiens 'how many times', pronounced ) is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics. It has two definitions: either the integer part of a division (in the case of Euclidean division) or a fraction or ratio (in the case of a general division).MathematicsMathematicsMathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical reasoning and proof to study and establish their properties, often expressed as theorems, formulas, and equations. Mathematics is used to model and solve problems in science, engineering, technology, economics, and everyday life.RhythmRhythmRhythm (from Greekῥυθμός, rhythmos, "any regular recurring motion, symmetry") generally means a "movement marked by the regulated succession of strong and weak elements, or of opposite or different conditions".Dependent and independent variablesDependent and independent variablesA variable is considered dependent if it depends on (or is hypothesized to depend on) an independent variable. Dependent variables are the outcome of the test they depend on, by some law or rule (e.g., by a mathematical function). Independent variables, on the other hand, are not seen as depending on any other variable in the scope of the experiment in question. Rather, they are controlled by the experimenter.Division (mathematics)Division (mathematics)Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.FluxFlux describes any effect that appears to pass or travel (whether it actually moves or not) through a surface or substance. Flux is a concept in applied mathematics and vector calculus which has many applications in physics. For transport phenomena, flux is a vector quantity, describing the magnitude and direction of the flow of a substance or property.DivisorDivisorIn mathematics, a divisor of an integern,{\displaystyle n,} also called a factor of n,{\displaystyle n,} is an integer m{\displaystyle m} that may be multiplied by some integer to produce n.{\displaystyle n.} In this case, one also says that n{\displaystyle n} is a multiple of m.{\displaystyle m.} An integer n{\displaystyle n} is divisible or evenly divisible by another integer m{\displaystyle m} if m{\displaystyle m} is a divisor of n{\displaystyle n}; this implies dividing n{\displaystyle n} by m{\displaystyle m} leaves no remainder.

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