"Asymptotic" Pronounce,Meaning And Examples
"Asymptotic" Natural Recordings by Native Speakers
"Asymptotic" Meaning
Asymptotic refers to a trend or relationship that approaches a certain value, limit, or curve but never quite reaches it. In mathematics, it often describes the behavior of functions or series as they get closer and closer to a specific value or infinity, without actually attaining it. In other contexts, asymptotic can signify something that is indefinitely close or nearly equivalent but not identical.
"Asymptotic" Examples
1. The growth rate of the population in this region is asymptotic, approaching but never reaching a maximum limit.
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>The population growth rate is asymptotic, tending towards an upper bound without actually attaining it.
2. In mathematics, an asymptote is a line that a function approaches but never touches as it heads towards infinity.
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>Asymptotes in math are lines that a curve gets arbitrarily close to but never intersects, especially at large values.
3. The efficiency of the algorithm improves asymptotically as the input size increases, making it suitable for large data sets.
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>The algorithm's efficiency exhibits asymptotic improvement with growing input size, ensuring optimal performance for big data.
4. Despite continuous economic development, the poverty rate reduction seems to be asymptotic, leaving a persistent segment of the population struggling.
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>Economic progress has led to an asymptotic decline in poverty rates, yet a considerable portion still faces financial hardships.
5. The graph of the function f(x) = 1/x^2 shows an asymptote along the x-axis because the function approaches zero but never reaches it.
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>The function f(x) = 1/x^2 demonstrates an asymptotic behavior, with the x-axis serving as a horizontal asymptote as the function value approaches zero without touching it.
"Asymptotic" Similar Words
Asymmetrically
The word "asymmetrically" refers to something that is not symmetrical or does not have balanced or equal parts on both sides. It indicates a lack of symmetry or a difference in shape, size, or arrangement when compared to its opposite side.
Asymmetries
Asymmetries refer to a lack of balance or equivalence between two or more things. This term can be used in various contexts, such as:<br><br>1. <strong>Geometry</strong>: In shapes or designs, asymmetry occurs when the parts on one side do not correspond exactly to those on the other side.<br><br>2. <strong>Economics</strong>: Economic asymmetries can exist when different parties in a transaction have unequal access to information, resources, or power.<br><br>3. <strong>Physics</strong>: In physics, asymmetries might describe imbalances in forces, energy, or distribution of matter.<br><br>4. <strong>Biology</strong>: Asymmetries in the human body, for example, can refer to differences between the left and right sides, like a person's dominant hand.<br><br>5. <strong>Politics</strong>: Political asymmetries occur when different regions or groups within a country have varying levels of autonomy, rights, or representation.<br><br>6. <strong>Social Dynamics</strong>: In social situations, asymmetries can manifest in power dynamics, where one individual or group holds more influence than another.<br><br>Overall, asymmetries imply a disparity or imbalance that exists between elements, which can have consequences depending on the context in which it is found.
Asymmetrous
The word "asymmetrous" is an adjective that refers to something that lacks symmetry or has unequal parts. It describes a condition where one side of an object or structure is different from the other, resulting in a lack of balance or symmetry.
Asymmetry
Asymmetry refers to a lack of balance or equality between two sides or parts of something. It can be a difference in size, shape, position, or other characteristics that make them unequal or not corresponding to each other. This term is often used in various fields such as art, biology, physics, and economics to describe an imbalanced or uneven state.
Asymptomatic
Asymptomatic refers to a person who has a disease or medical condition but does not show any symptoms or signs of it. They may be infected or carry a pathogen, but their body does not exhibit the typical indicators of illness that would normally be observed.
Asymptomatics
Asymptomatics refers to individuals who have a disease or infection but do not show any noticeable symptoms. They may be carriers of the illness but do not experience any discomfort or signs of being unwell.
Asymptote
An asymptote is a line or curve that approaches a given function无限接近）but never intersects or meets it, either as it extends towards infinity in one or both directions. In mathematics, asymptotes are used to describe the behavior of a function near its limits or to represent a trend that the function follows closely but does not reach. There are three main types of asymptotes: horizontal, vertical, and oblique.
Asymptotes
Asymptotes are lines or curves that a function or graph approaches but never touches or crosses. In mathematics, they are important in understanding the behavior of a function, particularly at infinity or in certain limits. There are three main types of asymptotes:<br><br>1. Horizontal Asymptote: A line parallel to the x-axis that a function approaches as its y-values get closer and closer to a constant value without reaching it. This occurs when the degree of the numerator is less than or equal to the degree of the denominator in a rational function.<br><br>2. Vertical Asymptote: A vertical line at a specific x-value where the function's values become unbounded or undefined. This typically occurs when the denominator of a rational function becomes zero at that point.<br><br>3. Oblique (Slant) Asymptote: A diagonal line that a function approaches as x values increase or decrease without bound. This happens when the degree of the numerator is exactly one more than the degree of the denominator. The equation of an oblique asymptote can be found by long division or synthetic division.<br><br>In summary, asymptotes help define the limits and behavior of a function, especially at the edges of its domain or as its inputs become very large or very small.
Asymptotical
Asymptotically
Asymptotics
Asynapsis
Asynartesia
Asynartete
Asynartetic
Asynchronic