slope

Japanese: slope

… borderland continental borderland — an area adjacent to a continent, usually in the area occupied by or adjacent to the continental shelf, that is much deeper than a typical continental shelf and has a highly irregular relief. slope continental slope — island slope — the slope from the outer edge of the continental shelf to the point where the continental rise begins or where there is a general decrease in slope. shelf continental shelf — island shelf — insular shelf — the area adjacent to a continent (or around an island) that begins at the low water mark and ends where there is a significant increase in slope toward ocean depths. …

From [gradient (gradient)]

...In mathematics, gradient is defined and used as follows:
[Slope of a line]
If Cartesian coordinates ( x , y ) are defined on a plane, a straight line on this plane that is not parallel to the y- axis can be expressed by a linear equation, y = ax + b , and if the angle this line makes with the x- axis is α, then a = tan α, so a is called the slope, inclination, or directional coefficient of this line. When a curve expressed by a differentiable function y = f ( x ) is given, the tangent to the curve at the point ( a , f ( a )) on that curve can be expressed as y - f ( a ) = f '( a )( x - a ), so the slope of the tangent is f '( a )....

*Some terminology explanations that mention "slope" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…　大陸境界地borderlandcontinental borderland―大陸に隣接する地域で，ふつうは大陸棚が占める地域か大陸棚に隣接する地域にあり，典型的な大陸棚よりはかなり深く，非常に不規則な起伏を有するもの。　大陸斜面slopecontinental slope―island slope―大陸棚外縁からコンチネンタルライズの始まるところまで，あるいは傾斜の一般的減少が起こる地点までの斜面。　大陸棚shelfcontinental shelf―island shelf―insular shelf―大陸に隣接する(あるいは島の周囲)地帯で，低潮線から始まり，大洋の深所に向かって傾斜の著しい増加が起こる所までをいう。…

【こう配(勾配)】より

…数学においては〈こう配〉を次のように定義して用いる。
［直線のこう配］
　平面上に直交座標(x,y)を定めると，この平面上のy軸に平行でない直線はy＝ax＋bと一次式で表され，この直線がx軸となす角をαとするとa＝tanαであるから，aをこの直線のこう配，傾き(slope,inclination)，または方向係数という。微分可能な関数y＝f(x)で表される曲線が与えられたとき，その上の点(a,f(a))における曲線の接線はy－f(a)＝f’(a)(x－a)で表されるから，その接線のこう配はf’(a)である。…