意味 | 例文 (10件) |
Monotone functionとは 意味・読み方・使い方
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「Monotone function」の部分一致の例文検索結果
該当件数 : 10件
The function f_0 is a monotone decreasing exponential function.例文帳に追加
関数f_0は、単調減少の指数関数である。 - 特許庁
Also, a smooth monotone attenuation function f(t) is calculated based on the changing curve α.例文帳に追加
又、この変化曲線αに基づき、滑らかな単調減衰関数f(t)を算出する。 - 特許庁
This deceleration function monotonously decreases itself and its derived function becomes a monotone function or a constant.例文帳に追加
この減速関数は、それ自体が単調減少するものであって、且つ、その導関数が単調関数若しくは定数となるような関数である。 - 特許庁
To provide a travelling toy with steering function, securely preventing the toy from stopping by falling down and collision with simple constitution and preventing movement becoming monotone.例文帳に追加
簡単な構成で確実に転落や衝突による停止を防ぎ、動作も単調になりにくくした操舵機能付走行玩具を提供することにある。 - 特許庁
The monotone function is used as an activation function of a first neuron group N1 and 2r pieces of neurons 11-1r and 21-2R structuring a second neuron group N2 included in an input layer 1 of the recurrent neural network.例文帳に追加
このリカレントニューラルネットワークの入力層1に含まれる第1のニューロン群N1と第2のニューロン群N2とを構成する2r個のニューロン11〜1rと21〜2Rの活性化関数として単調関数を用いる。 - 特許庁
This hearing aid has a function of continuously varying the frequency characteristics from monotone high frequency emphasis is proportion to frequency to monotone low frequency emphasis in inverse proportion to frequency with a reference frequency fo as the center without changing the level of this point and further has a function of setting the reference frequency fo to an arbitrary point independently of the variation of the frequency characteristics.例文帳に追加
周波数特性を基準周波数foを中心にして、この点のレベルを変えることなく、周波数比例の単調高域増強から、周波数逆比例の単調低域増強まで、連続して可変出来る機能を有し更に周波数特性の可変とは独立して基準周波数foを任意の点に設定することが出来る機能を備えることとした。 - 特許庁
The fluctuating components of the DC leakage currents Id whose current values are changing in a relatively long period being a difference between the changing curve α and the monotone attenuation function f(t) are observed.例文帳に追加
そして、これら変化曲線αと単調減衰関数f(t)との差であり、比較的長い周期で電流値が変化する、上記直流漏れ電流I_d の揺らぎ成分を観察する。 - 特許庁
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Wiktionary英語版での「Monotone function」の意味 |
monotone function
別の表記
名詞
monotone function (複数形 monotone functions)
- (calculus) A function f : X→R (where X is a subset of R, possibly a discrete set) that either never decreases or never increases as its independent variable increases; that is, either x ≤ y implies f(x) ≤ f(y) or x ≤ y implies f(y) ≤ f(x).
- 2005, Anthony W. Knapp, Basic Real Analysis, Springer, page 357,
- Section 1 contains Lebesgue's main tool, a theorem saying that monotone functions on the line are differentiable almost everywhere.
- 2011, Saminathan Ponnusamy, Foundations of Mathematical Analysis, Springer, page 469,
- Monotone functions on have nice properties. For example, they are integrable on and have only a countable number of jump discontinuities. In this section, we shall also show that every monotone function is a function of bounded variation, and hence the class contains the class of monotone functions on .
- 2013, Donald Yau, A First Course in Analysis, World Scientific, page 104,
- We saw in the previous section that monotone functions have some nice properties. For example, a monotone function is continuous except possibly on a countable set. They are also closed under scalar multiplication, and the sum of two increasing functions is increasing. (Exercise (4) on page 103). However, the difference and product of two monotone functions are not necessarily monotone (Exercise (5) on page 103).
- (order theory, analysis) A function f : X→Y (where X かつ Y are posets with partial order "≤") with either: (1) the property that x ≤ y implies f(x) ≤ f(y), or (2) the property that x ≤ y implies f(y) ≤ f(x).
- (Boolean algebra) A Boolean function with the property that switching any one input variable from 0 to 1 results either in no change in output or a change from 0 to 1.
使用する際の注意点
- The order theory definition avoids reference to the concepts increasing and decreasing, making it somewhat more generally applicable. Strictly speaking, the partial orders for X and Y need not be related (the notation "≤" is conventional). This case encompasses the possibility that X and Y are multidimensional spaces (e.g. Rn) and f is a mapping between them.
- In the Boolean algebra case, there is implicit in the definition an intuitively natural partial order "≤" (see product order on Wikipedia) such that, given two input tuples a = (a1, a2,... an) and b = (b1, b2,... bn), a ≤ b means that b can be obtained from a via a series of (zero または more) steps each switching an input from 0 to 1. With this partial order in mind, (only) property (1) of the order theory definition applies.
上位語
下位語
- (calculus):
- (function that never decreases as its independent variable increases):
- nondecreasing function, monotone nondecreasing function, monotonic nondecreasing function, monotonically nondecreasing function
- increasing function, monotone increasing function, monotonic increasing function, monotonically increasing function
- (function that never increases as its independent variable increases):
- nonincreasing function, monotone nonincreasing function, monotonic nonincreasing function, monotonically nonincreasing function
- decreasing function, monotone decreasing function, monotonic decreasing function, monotonically decreasing function
- (function that never decreases as its independent variable increases):
- (order theory):
Further reading
- Monotonic function on Wikipedia.
- Bernstein's theorem on monotone functions on Wikipedia.
- Monotone cubic interpolation on Wikipedia.
- Monotone function on Encyclopedia of Mathematics
- Monotonic Function on Wolfram MathWorld
「Monotone function」の部分一致の例文検索結果
該当件数 : 10件
The priority is provided to cooling headers of cooling devices, thereafter opening/closing patterns of the cooling headers are formulated by a control code such that the relation of the winding temperature and the opening/closing patterns becomes a monotone function.例文帳に追加
冷却装置の冷却ヘッダーに優先順位を付与した上で,冷却ヘッダーの開閉パターンを巻取り温度との関係が単調関数となるような制御コードで定式化する。 - 特許庁
When the differential rotation number ΔN is being converged to 0 (at the time of dΔN≤0), time constant τ (∝T) is determined based on a monotone increasing function f1 (m) in accordance with this degree of need.例文帳に追加
差動回転数ΔNが0に収束しつつある場合(dΔN≦0の時)には、この必要度に応じて時定数τ(∝T)を単調増加関数f1(m)にて決定する。 - 特許庁
When distortion slope is calculated at the processing block 103, a monotone decreasing function is introduced and such a distortion slope as lowering the significance of a code of high order bit plane relatively is employed so that truncation amount of a code block including a coefficient of large absolute value is increased but truncation amount of other code block is decreased thus attaining rate control of good subjective image quality.例文帳に追加
処理ブロック103におけるディストーションスロープの計算の際に単調減少の関数を導入し、上位ビットブレーンの符号の重要度を相対的に下げるようなディストーションスロープとすることにより、絶対値大きい係数が含まれるコードブロックのトランケーション量を増加させ、そうでないコードブロックのトランケーション量を減少させることにより、主観画質の良好なレート制御を可能とする。 - 特許庁
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