Outdated Drivers Are Slowing You Down
One free scan finds every outdated or missing driver and matches the right update for your exact hardware.Free scan · exact hardware matchPC Slower Than It Used to Be?
A free scan shows the junk files, broken settings and background clutter dragging Windows down - then fixes them in one click.Free scan · Windows 10 & 11In SciPy, scipy.special.gamma evaluates the mathematical gamma function Γ(z), while scipy.stats.gamma models a gamma-distributed random variable. Use the first to calculate a gamma-function value; use the second for distribution tasks such as densities, probabilities, quantiles, or random samples. The APIs are related through the distribution’s density, but they are not interchangeable.
Choose the SciPy gamma API for your task
| What you need | Use | Example result |
|---|---|---|
| Evaluate Γ(z), including generalized factorial calculations | scipy.special.gamma |
A gamma-function value |
| Calculate a gamma distribution’s density, CDF, quantile, or random variate | scipy.stats.gamma |
A probability, density, quantile, or sample |
| Calculate a gamma distribution’s CDF or survival probability directly | scipy.special.gdtr or scipy.special.gdtrc |
A CDF or upper-tail probability |
Calculate the mathematical gamma function
Import gamma from scipy.special. It accepts scalar or array-like inputs:
from scipy.special import gamma
values = gamma([0, 0.5, 1, 5])The gamma function is defined by Γ(z) = ∫₀∞ tz−1e−tdt for Re(z) > 0 and extended elsewhere by analytic continuation. It generalizes the factorial: Γ(n + 1) = n! for natural numbers n, and it follows the recurrence Γ(z + 1) = zΓ(z). See the SciPy special.gamma reference.
Select a related function when the expression calls for it
For log-domain work, gammaln returns the logarithm of the absolute gamma value, while loggamma is the principal branch of the complex logarithm. gammasgn gives the sign. These functions are not interchangeable; choose the one matching the quantity in your formula. SciPy also provides reciprocal gamma, rgamma, and regularized incomplete gamma functions and their inverses. The SciPy special-function index lists these related functions.
What’s actually slowing this PC down?
Pick the symptom - the matching free tool is one click away.
#1 Best Overall
- Read Before You Buy — No Video Output: These adapters support charging and USB 2.0 data transfer, but cannot transmit video signals. Except for standard USB webcams (which use USB data only), they are not compatible with HDMI/DisplayPort cables, video-capable USB-C hubs, or docking stations with video output.
- Convert USB-A Ports to USB-C: Designed to connect USB-C earphones, cables, flash drives, card readers, and other USB-C accessories to standard USB-A ports. Plug-and-play with no drivers or software required.
- Aluminum Alloy Housing: Built with a sturdy aluminum alloy shell that aids in heat dissipation and protects against daily wear and scratches. Designed to maintain a stable and secure connection.
- Compact & Travel-Friendly: The ultra-compact design allows the adapter to stay plugged into your device without blocking adjacent ports or adding bulk, reducing wear and tear on your original USB ports.
- 12-Month Warranty: Backed by a 12-month manufacturer warranty for peace of mind. Designed to meet strict quality control standards for reliable everyday performance.
Account for poles and SciPy version
In current SciPy documentation, gamma returns NaN at negative integer poles. At zero, signed zero affects the result: gamma(-0.0) is negative infinity, while gamma(+0.0) is positive infinity. SciPy documents this behavior as fixed in version 1.15; before 1.15, the function returned positive infinity at each pole. If a reciprocal-gamma factor appears in a formula, prefer rgamma rather than relying on a pole in a denominator, because pole behavior can affect the result. Check the documentation and release notes for the SciPy version you use before treating this as a migration guarantee. See the versioned behavior notes.
Use the gamma probability distribution
For distribution calculations, import gamma from scipy.stats. SciPy parameterizes the distribution with shape a and scale scale. If your formula uses a rate λ, convert it with scale=1/λ:
Rank #2
- 5-in-1 USB-C Hub: Experience comprehensive connectivity featuring a Power Delivery input, two USB-A 2.0 ports, a USB-A 3.0 port, and an HDMI port. (Note: The USB-C power delivery input port is only for connecting an external wall charger to power your laptop and cannot power peripheral devices.)
- 90W Pass-Through Charging: Achieve optimal charging with 90W pass-through power to your laptop, supported by a total input of 100W, with the hub reserving 10W for operational efficiency. (Note: Wall charger not included.)
- Quick Data Transfers: Accelerate your productivity with rapid data transfers using a high-speed 5Gbps USB 3.0 port and two 480Mbps USB 2.0 ports.
- 4K HDMI Display: Enhance your visual experience with a hub capable of delivering 4K resolution at 30Hz in both mirror and extend modes. Please note that this hub is compatible with MacBook (macOS 12 and newer), Windows 10 and 11, ChromeOS, and laptops equipped with DP Alt Mode and Power Delivery. Note: This device is not compatible with Linux.
- What You Get: Anker USB-C Hub (5-in-1, 4K HDMI), welcome guide, 18-month warranty, and our friendly customer service.
from scipy.stats import gamma
shape = 2.0
rate = 3.0
distribution = gamma(a=shape, scale=1 / rate)
probability = distribution.cdf(1.0)The resulting probability is the probability that a variable from this distribution is at or below 1.0. The standardized density for positive shape a and nonnegative x is xa−1e−x/Γ(a); the general distribution API also applies loc and scale. SciPy’s gamma-distribution tutorial and probability-distribution tutorial describe the model and parameter conventions.
Use the distribution methods for common tasks
The frozen distribution object in the example keeps the chosen parameters together. Its continuous-distribution interface provides methods for density, cumulative probability, quantiles, and random variates. For an upper-tail probability, use its sf method rather than subtracting a CDF from 1; the survival function directly represents the probability of exceeding a threshold.
Quick wins for a faster PC:
Fix the driver behind crashes, sound loss and screen glitchesFind Drivers →Clear out junk files and repair common Windows errorsFree Scan →Scan for outdated or missing drivers - takes under a minuteDriver Scan →Rank #3
- Sleek 7-in-1 USB-C Hub: Features an HDMI port, two USB-A 3.0 ports, and a USB-C data port, each providing 5Gbps transfer speeds. It also includes a USB-C PD input port for charging up to 100W and dual SD and TF card slots, all in a compact design.
- Flawless 4K@60Hz Video with HDMI: Delivers exceptional clarity and smoothness with its 4K@60Hz HDMI port, making it ideal for high-definition presentations and entertainment. (Note: Only the HDMI port supports video projection; the USB-C port is for data transfer only.)
- Double Up on Efficiency: The two USB-A 3.0 ports and a USB-C port support a fast 5Gbps data rate, significantly boosting your transfer speeds and improving productivity.
- Fast and Reliable 85W Charging: Offers high-capacity, speedy charging for laptops up to 85W, so you spend less time tethered to an outlet and more time being productive.
- What You Get: Anker USB-C Hub (7-in-1), welcome guide, 18-month warranty, and our friendly customer service.
Calculate a gamma CDF or upper tail with special functions
SciPy also provides direct CDF and survival-function calls. Their arguments are ordered as rate, shape, x, unlike stats.gamma, where shape is the named parameter and rate must be converted to scale:
from scipy.special import gdtr, gdtrc
cdf_value = gdtr(rate, shape, x)
tail_probability = gdtrc(rate, shape, x)For rate λ, shape a, and threshold x, SciPy documents these equivalences:
Rank #4
- Dual Converters, Infinite Potential：Includes 2× USB C male to USB A female adapters and 2× USB A male to USB C female adapters. Perfect for a wide range of uses—tablets with Bluetooth keyboards, expand USB ports on macbook, and more. Two different converters for all your daily needs
- Next-Level 10Gbps & 3A Charging: No more slow 480Mbps, this usb to usb c adapter has a transfer speed of up to 10Gbps, allowing you to do more transferring in less time. This usb adapter fits both USB A and USB C charger, supporting up to 3A fast charging
- Upgraded Exquisite Craftsmanship: With an aluminum alloy housing and metal connector, the usbc to usb adapter is extremely durable and sturdy. Rigorously tested to withstand more than 10,000 times of plugging and unplugging, ensuring long-lasting performance
- Broad Compatible: The usb c to usb adapter widely supports all USB C/ USB A devices like laptops, tablets, cellphones, car chargers, and phone chargers. Such as compatible with MacBook Pro/Air 2023/2022, Thunderbolt 4/3 Devices,Apple MagSafe Watch 9/8/7/SE/Ultra, iPad Pro 2022/2021, Samsung Galaxy S23/S20/S10, and iPhone 17/16/15 Pro. Plug and play
- Please Note: To reach 10Gbps speed, keep the cable under 3.3 ft. For USB A Male to USB C adapters, try flipping the USB C connector. USB C Male to USB A adapters support bidirectional 10Gbps transfer within 3.3 ft
gdtr(rate, shape, x)corresponds togamma(shape, scale=1/rate).cdf(x).gdtrc(rate, shape, x)corresponds togamma(shape, scale=1/rate).sf(x).
SciPy notes that these direct functions can often be faster for small arrays or individual values; that is a documentation qualification, not a guarantee for every workload. See the gdtr reference and gdtrc reference.
Quick Recap
Best Value
- 5-in-1 Connectivity: Equipped with a 4K HDMI port, a 5 Gbps USB-C data port, two 5 Gbps USB-A ports, and a USB C 100W PD-IN port. Note: The USB C 100W PD-IN port supports only charging and does not support data transfer devices such as headphones or speakers.
- Powerful Pass-Through Charging: Supports up to 85W pass-through charging so you can power up your laptop while you use the hub. Note: Pass-through charging requires a charger (not included). Note: To achieve full power for iPad, we recommend using a 45W wall charger.
- Transfer Files in Seconds: Move files to and from your laptop at speeds of up to 5 Gbps via the USB-C and USB-A data ports. Note: The USB C 5Gbps Data port does not support video output.
- HD Display: Connect to the HDMI port to stream or mirror content to an external monitor in resolutions of up to 4K@30Hz. Note: The USB-C ports do not support video output.
- What You Get: Anker 332 USB-C Hub (5-in-1), welcome guide, our worry-free 18-month warranty, and friendly customer service.
Avoid shape, scale, and rate mix-ups
- In
scipy.stats.gamma, pass the shape asa. If your model is expressed with rate λ, usescale=1/λ. - In
gdtrandgdtrc, the first positional argument is rate and the second is shape. - When translating a textbook or another library’s parameterization, identify whether its second parameter is scale or rate before writing the SciPy call.
Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on Amazon at the time of purchase will apply.
