Oracle数值型函数之EXP(y)函数详解

EXP(y)

SELECT EXP(3), EXP(0), EXP(-3) FROM dual;

SELECT EXP(1) AS 自然常数e FROM dual;

SELECT 
    EXP(0.5) AS 半次幂,
    EXP(1.5) AS 一点五次幂,
    EXP(2.302585) AS 特殊验证  -- e^ln(10) ≈ 10
FROM dual;

-- 连续复利计算
SELECT 
    principal,
    rate,
    years,
    principal * EXP(rate * years) AS 连续复利终值
FROM investments;

-- 正态分布密度函数计算
SELECT 
    x,
    (1/SQRT(2*3.1415926)) * EXP(-0.5*POWER(x,2)) AS 标准正态密度
FROM statistical_data;

-- 放射性衰减计算
SELECT 
    initial_amount,
    decay_constant,
    time,
    initial_amount * EXP(-decay_constant * time) AS 剩余量
FROM radioactive_samples;

-- Sigmoid函数实现
SELECT 
    1/(1+EXP(-x)) AS sigmoid
FROM neuron_inputs;

SELECT 
    EXP(2) AS exp方式,
    POWER(2.718281828459, 2) AS power方式
FROM dual;

SELECT 
    EXP(LN(10)) AS 验证1,  -- 返回10
    LN(EXP(5)) AS 验证2    -- 返回5
FROM dual;

SELECT 
    EXP(1) AS e,
    LN(10) AS 自然对数,
    LOG(10, 100) AS 常用对数
FROM dual;

SELECT 
    EXP(NULL) AS 空输入,      -- 返回NULL
    EXP(1000) AS 大数测试,    -- 可能溢出
    EXP(-1000) AS 小数测试    -- 可能下溢
FROM dual;

SELECT 
    EXP(BINARY_FLOAT '1.5') AS 浮点计算,
    EXP(TO_NUMBER('2.0')) AS 转换计算
FROM dual;