Definition, Meaning, Synonyms & Anagrams | English word GRADIENT

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Definitions of GRADIENT

1. A slope or incline.
2. A rate of inclination or declination of a slope.
3. Moving by steps; walking.
4. Rising or descending by regular degrees of inclination.
5. Adapted for walking, as the feet of certain birds.
6. A gradual change in color; a color gradient; gradation.
7. (calculus, of a function) The ratio of the rates of change of a dependent variable and an independent variable, the slope of a curve's tangent.
8. (science) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
9. (, calculus) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field φ: ∇φ

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Examples of Using GRADIENT in a Sentence

• Conjugate gradient method, an algorithm for the numerical solution of particular systems of linear equations.
• Being passive, facilitated transport does not directly require chemical energy from ATP hydrolysis in the transport step itself; rather, molecules and ions move down their concentration gradient according to the principles of diffusion.
• The gradient thus plays a fundamental role in optimization theory, where it is used to minimize a function by gradient descent.
• A specific implementation with termination criteria for a given iterative method like gradient descent, hill climbing, Newton's method, or quasi-Newton methods like BFGS, is an algorithm of an iterative method or a method of successive approximation.
• Rapids are sections of a river where the river bed has a relatively steep gradient, causing an increase in water velocity and turbulence.
• A thermometer is a device that measures temperature (the hotness or coldness of an object) or temperature gradient (the rates of change of temperature in space).
• Electromagnetic waves can also propagate as "surface waves" in that they can be guided along with a refractive index gradient or along an interface between two media having different dielectric constants.
• Trophospheric waves are propagated from a place of abrupt change in the dielectric constant, or its gradient.
• Cumulus clouds are often precursors of other types of clouds, such as cumulonimbus, when influenced by weather factors such as instability, humidity, and temperature gradient.
• They arise from applying Isaac Newton's second law to fluid motion, together with the assumption that the stress in the fluid is the sum of a diffusing viscous term (proportional to the gradient of velocity) and a pressure term—hence describing viscous flow.
• It is defined to be the ratio of the rate of advection of a physical quantity by the flow to the rate of diffusion of the same quantity driven by an appropriate gradient.
• The irrotationality of a potential flow is due to the curl of the gradient of a scalar always being equal to zero.
• The barn is also the unit of area used in nuclear quadrupole resonance and nuclear magnetic resonance to quantify the interaction of a nucleus with an electric field gradient.
• In its upper section, known as the Katzensteig, the Breg valley is clearly a result of glaciation, with a strikingly low gradient and landscape characterized by large Black Forest houses.
• Oftentimes it is helpful to show with the graph, the gradient of the function and several level curves.
• During his experiments, he observed that a junction of dissimilar metals produces a deflexion on a magnetic needle (compass) when exposed to a temperature gradient.
• where m is often called the slope or gradient, and b the y-intercept, which gives the point of intersection between the graph of the function and the y-axis.
• The energy from the redox reactions creates an electrochemical proton gradient that drives the synthesis of adenosine triphosphate (ATP).
• Built between December 1838 and June 1841 for the Great Western Railway (GWR) under the direction of Isambard Kingdom Brunel, the straight tunnel descends on a 1 in 100 gradient from its eastern end.
• The railroad needed an engine terminal for helper locomotives, near to the western foot of the steep gradient toward Cumbres Pass.

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