convert string column to int numpy

given by dtype, order. For instance, a salary column may be imported as a string but we have to convert it into float to do operations. Is lock-free synchronization always superior to synchronization using locks? Now that you have some foundational knowledge about how to represent integers using str and int, youll learn how to convert a Python string to an int. What are examples of software that may be seriously affected by a time jump? For instance, check the data type of int_col: If we would like to explore data, the info() method may be more useful as it provides RangeIndex, total columns, non-null count, dtypes, and memory usage. Syntax: Series.astype (dtype, copy=True, errors='raise') Parameters: This method will take following parameters: dtype: Data type to convert the series into. How can I remove a specific item from an array in JavaScript? How to check whether a string contains a substring in JavaScript? As of Pandas 0.20.0, this error can be suppressed by setting the argument errors='ignore', but your original data will be returned untouched. In some cases, you dont want to output to be float values you want it to be integers, for instance converting an ID column. All integer prefixes are in the form 0?, in which you replace ? For instance. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. If, however, you pass a hexadecimal string to int(), then youll see a ValueError: The error message says that the string is not a valid decimal integer. By using the options Commenting Tips: The most useful comments are those written with the goal of learning from or helping out other students. NumPy arrays. Why does Jesus turn to the Father to forgive in Luke 23:34? Start with a Series of strings and missing data represented by np.nan. By default, convert_dtypes will attempt to convert a Series (or each Alternatively, we can replace Numpy NaN with another value (for example replacing NaN with 0) and call astype('int'). For binary input data, the data must be in exactly this format. The output is left-padded by the length of the prefix string, and wrapping is forced at the column max_line_width - len (suffix) . How to increase the number of CPUs in my computer? Notes. one should use a.real.astype(t). How to convert pandas DataFrame into JSON in Python? rev2023.3.1.43269. bytes using utf-8, which will not produce sane results. Convert the DataFrame to use best possible dtypes. I have a list of numbers in string format. Although this approach is suitable for straight-in landing minimums in every sense, why are circle-to-land minimums given? The problem is that if we are using the method above were going to get all NaN or NA values because they are all strings with symbols and ,, and they cant be converted to numbers. dtypes) Yields below output. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Can the Spiritual Weapon spell be used as cover? Parameters: dtypestr or dtype Typecode or data-type to which the array is cast. length of the data. (X=='y').astype(int) Should do the trick. to the nullable floating extension type. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. 5. integer/float value converted. It raises this error ValueError: Unable to parse string , the error parameter of to_numeric() method is used to handle this error. To avoid this, By default, astype always returns a newly allocated array. no means the data types should not be cast at all. A scalar string or int should be used where transformer expects X to be a 1d array-like (vector), otherwise a 2d array will be passed to the transformer. Another solution by comment of Boud - use to_numeric with dropna and last convert to int by astype: df.b = pd.to_numeric (df.b, errors='coerce') df = df.dropna (subset= ['b']) df.b = df.b.astype (int) print (df) a b 0 1 26190 2 5 580 If need check all rows with bad data use isnull - filter all data where after applying function to_numeric get NaN: The Pandas to_numeric() function can handle these values more gracefully. How to convert numpy array elements from string to int, The open-source game engine youve been waiting for: Godot (Ep. Converting string of hex values to numpy array of specific shape, The open-source game engine youve been waiting for: Godot (Ep. We can change the NAN values to 0 by using the replace() method as we have done in the below example. How to choose voltage value of capacitors. What this does is change Numpys NaN to Pandas NA and this allows it to be an integer. For example, if you wanted to convert the string '123' to an integer, you would use the following query: This query would return the result 123. As you see in this example we are using numpy.int64 . is there a chinese version of ex. Not the answer you're looking for? Using apply (np.int64) to Cast to Integer. The purpose of origin='unix' is to convert an integer timestamp to datetime, not the other way. (for example str, float, int). How can I add new array elements at the beginning of an array in JavaScript? We are using a Python dictionary to change multiple columns datatype Where keys specify the column and values specify a new datatype. If you have a decimal integer represented as a string and you want to convert the Python string to an int, then you just pass the string to int(), which returns a decimal integer: By default, int() assumes that the string argument represents a decimal integer. Method 1: Dummy Variable Encoding We will be using pandas.get_dummies function to convert the categorical string data into numeric. Controls the memory layout order of the result. The method is supported by both Pandas DataFrame and Series. ), use it to downcast to a smaller or upcast to a larger byte size. Almost there! If the dtype is integer, convert to an appropriate integer extension type. order the array elements appear in memory as possible. for further details on to_numeric() function one can refer this documentation. How to Convert Integer to Datetime in Pandas DataFrame? astype() function converts character column (is_promoted) to numeric column as shown below. It only takes a minute to sign up. Why did the Soviets not shoot down US spy satellites during the Cold War? import numpy as np nums_str = ['1','23','345'] nums_str_np = np.asarray (nums_str) nums_int_np = nums_str_np.astype ('int') nums_int_np - is now np array of integers. By displaying the DataFrame, we can see that the column gets converted to integers but rounded all the values down. Now that you know so much about str and int, you can learn more about representing numerical types using float(), hex(), oct(), and bin()! All Rights Reserved. Rename .gz files according to names in separate txt-file. C order otherwise, and K means as close to the Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Easiest way to remove 3/16" drive rivets from a lower screen door hinge? It is time-saving when you have a bunch of columns you want to change. is set to false, and the dtype, order, and subok Now, the number 4.7 gets rounded up to 5. More specifically, you will learn how to use the Pandas built-in methods astype() and to_numeric() to deal with the following common problems: For demonstration, we create a dataset and will load it with a function: Please check out the Github repo for the source code. (X_train.to_numpy(), y_train, epochs=3) >> ValueError: Failed to convert a NumPy array to a Tensor (Unsupported object type float). To get around the error, we can call astype('Int64') as we did above (Note it is captial I, same as mentioned in the last section). Learn more about Stack Overflow the company, and our products. The most common way to convert a string to a numeric value is to use the CAST () function. Whether, if possible, conversion can be done to floating extension types. Making statements based on opinion; back them up with references or personal experience. This is how the DataFrame would look like in Python: Why are non-Western countries siding with China in the UN? Connect and share knowledge within a single location that is structured and easy to search. Program Example import pandas as pd Student_dict = { 'StudID': ['12', '13', '14'], 'Marks': ['100','100', '100'], 'Fee': ['100','200','300'] } When doing data analysis, it is important to ensure correct data types. I am working on a project that needs to take a .bdf font file and turn it into a Numpy array. interprets string as binary bytes, rather than ASCII text with If you are familiar with regular expression, we can also replace those symbols with a regular expression. int assumes the literal integer to be decimal: The string representation of an integer is more flexible because a string holds arbitrary text data: Each of these strings represent the same integer. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The error shows its the problem with the value 'a' as it cannot be converted to an integer. How can I recognize one? convert to StringDtype, BooleanDtype or an appropriate integer What this does is change Numpys NaN to Pandas NA and this allows it to be an integer. The string separating numbers in the data; extra whitespace between import numpy as np In [2]: import pandas as pd . Dealing with hard questions during a software developer interview. DataFrame.to_numpy(dtype=None, copy=False, na_value=_NoDefault.no_default) [source] #. Making statements based on opinion; back them up with references or personal experience. SpType csv can t convert np.ndarray of type numpy.object . Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. Complete this form and click the button below to gain instantaccess: No spam. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. I converted that list into numpy array using np.asarray(). Syntax: pandas.get_dummies (data, prefix=None, prefix_sep='_', dummy_na=False, columns=None, sparse=False, drop_first=False, dtype=None) Parameters : data : Pandas Series, or DataFrame This is actually very simple, you can just call astype('int'): So far, we have been converting data type one column at a time. In the future, as new dtypes are added that support pd.NA, the results By the end of this tutorial, youll understand: Python Pit Stop: This tutorial is a quick and practical way to find the info you need, so youll be back to your project in no time! for unsafe casting. Each tutorial at Real Python is created by a team of developers so that it meets our high quality standards. How do I convert the string elements to ints? We can call astype('Int64'). Despite how well pandas works, at some point in your data analysis process you will likely need to explicitly convert data from one type to another. Checking data types. Default is K. C means C order, F means Fortran order, A Thanks for contributing an answer to Stack Overflow! I am using the code below to turn the bitmap for the font into a numpy array. Get tips for asking good questions and get answers to common questions in our support portal. For example, if the dtypes are float16 and float32, the results dtype will be float32 . Not the answer you're looking for? Why does Jesus turn to the Father to forgive in Luke 23:34? Code Review Stack Exchange is a question and answer site for peer programmer code reviews. How does a fan in a turbofan engine suck air in? requirements are satisfied, the input array is returned instead Here you have to pass your float array with the dtype="int" as an argument inside the function. How do I read / convert an InputStream into a String in Java? No spam ever. Thanks for contributing an answer to Code Review Stack Exchange! Lets move on to a column of mixed strings and numbers. Then, if possible, astype() is the simplest way and offers more possibility in the way of conversion, while to_numeric() has more powerful functions for error handling. Changed in version 1.17.0: Casting between a simple data type and a structured one is possible only To subscribe to this RSS feed, copy and paste this URL into your RSS reader. astype() function converts or Typecasts string column to integer column in pandas. Did the residents of Aneyoshi survive the 2011 tsunami thanks to the warnings of a stone marker? pd.to_datetime(1.547559e+09, unit='s', origin='unix') . Hes an avid Pythonista who is also passionate about writing and game development. How can I change a sentence based upon input to a command? 542), How Intuit democratizes AI development across teams through reusability, We've added a "Necessary cookies only" option to the cookie consent popup. By using the options convert_string, convert_integer, convert_boolean and convert_boolean, it is possible to turn off individual conversions to StringDtype, the integer extension types, BooleanDtype or floating . A Medium publication sharing concepts, ideas and codes. In this, We can use both numeric or non-numeric values. However, there is a bit of a gotcha. compatible with that passed in via this argument. An integer can be stored using different types. In the case of Pandas, it will correctly infer data types in many cases and you can move on with your analysis without any further thought on the topic. Help with navigating a publication related conversation with my PI. The simplest way to convert a Pandas column to a different type is to use the Series method astype(). Image.fromarray(numpy_array[:,:,::-1].astype('uint8')) Numpy array to PIL image format. There is a DataFrame method also called astype() allows us to convert multiple column data types at once. elements is also ignored. We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development. {"No_Of_Units": int} - List of columns to be cast into another format. How to filter and remove using pandas in python? These types offer flexibility for working with integers in different circumstances. One good safeguard for this behavior is to always define your string representations using explicit bases: Here, you get a ValueError because int() doesnt know how to parse the binary string as a decimal integer. Your code isn't idiomatic, as Python uses snake_case not camelCase. The team members who worked on this tutorial are: Master Real-World Python Skills With Unlimited Access to RealPython. Copy of the array, cast to a specified type. Partner is not responding when their writing is needed in European project application. Share Improve this answer Follow edited Dec 24, 2020 at 10:01 thepunitsingh 693 1 12 30 answered Dec 22, 2020 at 13:58 Devi Khositashvili 546 2 12 Add a comment Your Answer However, there are several other number systems, such as binary and hexadecimal, which use different bases to represent an integer. Youve learned so much about integers and how to represent and convert them between Python string and int data types. These methods are also used to convert string to float. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. Parameters: This method will take following parameters: One of the most effective approaches is Pandas astype(). When and how was it discovered that Jupiter and Saturn are made out of gas? Typecode or data-type to which the array is cast. Pandas Dataframe.to_numpy() - Convert dataframe to Numpy array, Convert the column type from string to datetime format in Pandas dataframe, Python | Pandas DataFrame.fillna() to replace Null values in dataframe, Difference Between Spark DataFrame and Pandas DataFrame, Replace values of a DataFrame with the value of another DataFrame in Pandas, Python | Convert list of nested dictionary into Pandas dataframe. Find centralized, trusted content and collaborate around the technologies you use most. Replacing strings with numbers in Python for Data Analysis, Python | Pandas Series.str.replace() to replace text in a series, Python program to find number of days between two given dates, Python | Difference between two dates (in minutes) using datetime.timedelta() method, Python | Convert string to DateTime and vice-versa, Adding new column to existing DataFrame in Pandas, Create a new column in Pandas DataFrame based on the existing columns, Python | Creating a Pandas dataframe column based on a given condition, Selecting rows in pandas DataFrame based on conditions, Get all rows in a Pandas DataFrame containing given substring, Python | Find position of a character in given string, replace() in Python to replace a substring, Python | Replace substring in list of strings, Python Replace Substrings from String List, How to get column names in Pandas dataframe. Integers are whole numbers. If we want to convert a float column to integers, we can try using the astype() we used above. How can I explain to my manager that a project he wishes to undertake cannot be performed by the team? Use the downcast parameter to obtain other dtypes. To convert an entire dataframe columns string to int we just need to call the astype() method by specifying the datatype in which we want to convert using the dataframe object. 20122023 RealPython Newsletter Podcast YouTube Twitter Facebook Instagram PythonTutorials Search Privacy Policy Energy Policy Advertise Contact Happy Pythoning! for backwards compatibility. same_kind means only safe casts or casts within a kind, invalid literal for int() with base 10: '0x12F', # Using the default base of 10, instead of 2, invalid literal for int() with base 10: '0b11010010', get answers to common questions in our support portal, How to specify an explicit number system for an integer representation. Its important to recognize the difference between two types of failed results of passing a string to int(): In this example, you meant for the result to be 210, which is the decimal representation of the binary string. Convert numeric column to character in pandas python, Convert column to categorical in pandas python, Append a character or numeric value to column in pandas, Typecast character to numeric - INPUT() and numeric to, Typecast string or character to integer in Postgresql, Typecast Integer to string and String to integer in Pyspark, Get the data type of column in pandas python, Check and Count Missing values in pandas python, Convert numeric column to character in pandas python (integer to string), Extract first n characters from left of column in pandas python, Extract last n characters from right of the column in pandas python, Replace a substring of a column in pandas python, Typecast or convert character column to numeric in pandas python with to_numeric() function, Typecast character column to numeric column in pandas python with astype() function. If you want to set the data type for each column when reading a CSV file, you can use the argument dtype when loading data with read_csv(): The dtype argument takes a dictionary with the key representing the column and the value representing the data type. © 2023 pandas via NumFOCUS, Inc. We chain 2 replace() calls, one for and the other for ,, to replace them with an empty string. The data type of the array; default: float. If you already have a numeric data type (int8, int16, int32, int64, float16, float32, float64, float128, and boolean) you can also use astype() to: However, astype() wont work for a column of mixed types. Rather than fail, we can set the argument errors='coerce' to coerce invalid values to NaN: We have seen how we can convert a Pandas data column to a numeric type with astype() and to_numeric(). with a character that refers to the number system: Technical Detail: The prefix is not required in either an integer or string representation when it can be inferred. Need help convert numpy array image to image with full color. If you have x = np.matrix, where each element is '1.0' (as str) and you want to convert it to int or float: nums_int_np - is now np array of integers. Get a short & sweet Python Trick delivered to your inbox every couple of days. This returns a string of 1's and 0's; Then I use list() to break the string of binary into a list of single 1's and 0's; Then I convert that all to a numpy array with dtype=int; The process feels really messy and it takes a millisecond which I feel like is pretty long for a (15, 9) numpy array. safe means only casts which can preserve values are allowed. Do EMC test houses typically accept copper foil in EUT? Lets see methods to convert string to an integer in Pandas DataFrame: Syntax: Series.astype(dtype, copy=True, errors=raise). Returns: numeric if parsing succeeded. Before we diving into change data types, lets take a quick look at how to check data types. If the string is not the correct size to satisfy the requested casting from multiple fields is not. Would the reflected sun's radiation melt ice in LEO? As a human who has used the decimal number system for your whole life, it may be obvious that you mean the number one hundred and ten. It might be okay, but in most cases, I would imagine that is not. To view the purposes they believe they have legitimate interest for, or to object to this data processing use the vendor list link below. rev2023.3.1.43269. Watch it together with the written tutorial to deepen your understanding: Convert a Python String to int. I recommend you to check out the documentation for the astypes() and to_numeric() API and to know about other things you can do. The difference between this and above is that this method does the converting during the reading process and can be time-saving and more memory efficient. Deprecated since version 1.14: Passing sep='', the default, is deprecated since it will pandas.to_numeric pandas 1.5.3 documentation pandas.to_numeric # pandas.to_numeric(arg, errors='raise', downcast=None) [source] # Convert argument to a numeric type. Does Cast a Spell make you a spellcaster? unsafe means any data conversions may be done. How do I replace all occurrences of a string in JavaScript? Two data types you can use to store an integer in Python are int and str. @zipa I have tried 'map' to convert but it's completing my purpose. Start with a DataFrame with default dtypes. For instance, the mixed_col has a and missing_col has NaN. If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page.. numpy.ndarray.astype # method ndarray.astype(dtype, order='K', casting='unsafe', subok=True, copy=True) # Copy of the array, cast to a specified type. We have True/False, but you can imagine a case in which need these as 0 and 1 , for instance, if you are building a machine learning model and this is one of your input features, youd need it to be numeric and you would use 0 and 1 to represent False and True. Jesus turn to the Father to forgive in Luke 23:34 data-type to which the array elements the! A float column to integer column in Pandas DataFrame into JSON in Python to Datetime in DataFrame... Have a bunch of columns to be an integer in Python: why are non-Western countries siding with China the... To take a.bdf font file and turn it into float to do.... China in the data types, lets take a.bdf font file turn! Around the technologies you use most { & quot ; No_Of_Units & ;... Copy=True, errors=raise ) landing minimums in every sense, why are non-Western countries siding with China in UN. Answer site for peer programmer code reviews lets take a quick look at to. Help with navigating a publication related conversation with my PI, in which you replace use the cast ( function... Multiple fields is not the correct size to satisfy the requested casting from fields. Spiritual Weapon spell be used as cover seriously affected by a time jump snake_case not camelCase before we diving change... To code Review Stack Exchange method also called astype ( ) we above. Check whether a string in JavaScript Reach developers & technologists share private with..., audience insights and product development get tips for asking good questions and get answers to common in! Import numpy as np in [ 2 ]: import Pandas as pd substring in JavaScript simplest to... Do operations for Personalised ads and content, ad and content, ad content! Performed by the team members who worked on this tutorial are: Master Python. The trick means C order, and our partners use data for ads! This documentation str, float, int ) Should do the trick upcast to a smaller or upcast to column... Pandas in Python size to satisfy the requested casting from multiple fields not! Support portal China in the below example imported as a part of legitimate. The string elements to ints replace all occurrences of a stone marker means Fortran order and. Column to a specified type which will not produce sane results with hard questions a! For asking good questions and get answers to common questions in our support portal related., why are circle-to-land minimums given upon input to a column of mixed strings and missing data by. Integers in different circumstances with coworkers, Reach developers & technologists worldwide, copy and this. Out of gas we will be using pandas.get_dummies function to convert numpy array time jump youve been for... Am working on a project he wishes to undertake can not be converted integers. Watch it together with the value ' a ' as it can not be by... Be imported as a string contains a substring in JavaScript to integer a column of mixed and! Waiting for: Godot ( Ep approaches is Pandas astype ( ) function converts character column ( is_promoted to! A different type is to use the Series method astype ( ) function converts or string. In EUT convert a Python string and int data types the trick I convert categorical... Python: why are circle-to-land minimums given a newly allocated array the below! Pandas column to integer column in Pandas DataFrame: Syntax: Series.astype ( dtype, order, means! At how to check whether a string in Java the Father to forgive Luke! In Python insights and product development Policy Energy Policy Advertise Contact Happy Pythoning inbox every of... Also called astype ( ) for: Godot ( Ep dataframe.to_numpy ( dtype=None, copy=False, na_value=_NoDefault.no_default ) [ ]! Pandas in Python non-Western countries siding with China in the UN displaying DataFrame. Array, cast to integer column in Pandas DataFrame new datatype, in which you replace with! Interest without asking for consent column data types at once specify the column converted. Do the trick and missing data represented by np.nan in Luke 23:34 the open-source game engine youve been for. Where keys specify the column and values specify a new datatype its the problem with the written to... Are also used to convert string to float, ideas and codes navigating a publication related conversation with PI... This form and click the button below to turn the bitmap for the font into a numpy.. China in the form 0?, in which you replace np.asarray )! This documentation you can use both numeric or non-numeric values string and int data.! Will be using pandas.get_dummies function to convert string to int are: Master Real-World Python Skills Unlimited... Open-Source game engine youve been waiting for: Godot ( Ep files according to names in separate txt-file,. Try using the code below to gain instantaccess: no spam elements from string to a or... We used above following parameters: dtypestr or dtype Typecode or data-type to the... ( X== & # x27 ; y & # x27 ; y #. Convert multiple column data types you can use to store an integer Pandas... And numbers which can preserve values are allowed see in this example we using... Performed by the team n't idiomatic, as Python uses snake_case not.! Real-World Python Skills with Unlimited Access to RealPython at all, astype returns. For example str, float, int ) Should do the trick I converted that into... With integers in different circumstances represent and convert them between Python string and data. Foil in EUT our partners may process your data as a part of legitimate. The team method as we have to convert a Python dictionary to change this URL into your reader... With the written tutorial to deepen your understanding: convert a string contains a in!, convert to an appropriate integer extension type Pandas as pd Python uses snake_case not camelCase of the array cast... This tutorial are: Master Real-World Python Skills with Unlimited Access to RealPython may. Waiting for: Godot ( Ep input data, the open-source game engine youve waiting. Float to do operations is created by a time jump 'map ' to convert Pandas DataFrame dtype be. Displaying the DataFrame would look like in Python are int and str a ' as it can not be at. Convert integer to Datetime in Pandas Newsletter Podcast YouTube Twitter Facebook Instagram search. Unlimited Access to RealPython without asking for consent and str can I change a sentence based upon input to column. Columns to be cast into another format names in separate txt-file values to 0 by using the code below turn. Sharing concepts, ideas and codes change data types into float to do.... Easy to search about Stack Overflow the company, and the dtype, order, F means Fortran order and! All occurrences of a stone marker in EUT ) function converts character column ( is_promoted ) to cast integer! / convert an InputStream into a numpy array a float column to a smaller or upcast to a different is. Example we are using a Python string and int data types, lets take a.bdf file. Learn more about Stack Overflow the company, and our partners may process your data as a part their... Separate txt-file InputStream into a numpy array of specific shape, the data types, lets take a look... Part of their legitimate business interest without asking for consent not the correct size to the... To common questions in our support portal bitmap for the font into a numpy array using (... To avoid this, by default, astype always returns a newly allocated array extra whitespace import! Numeric column as shown below and convert them between Python string to.. Of gas working on a project he wishes to undertake can not be cast into another format Python trick to! As pd can I change a sentence based upon input to a smaller or upcast to a different type to... In which you replace a larger byte size my purpose allows US to convert it into a numpy array at! Tagged, Where developers & technologists worldwide with hard questions during a software developer interview to... Separating numbers in the UN into a numpy array using np.asarray ( ) function can. Code below to gain instantaccess: no spam InputStream into a numpy array image image.: this method will take following parameters: dtypestr or dtype Typecode data-type! Converting string of hex values to 0 by using the code below to turn the bitmap for font! Easy to search beginning of an array in JavaScript InputStream into a string but we done. An avid Pythonista who is also passionate about writing and game development converts or Typecasts string to! Should do the trick is suitable for straight-in landing minimums in every,... Browse other questions tagged, Where developers & technologists worldwide image to image with color... Much about integers and how was it discovered that Jupiter and Saturn are out! The button below to gain instantaccess: no spam like in Python forgive in Luke 23:34 as. ' as it can not be converted to an integer in Python is Pandas astype ( ) Python snake_case! Convert multiple column convert string column to int numpy types Should not be cast into another format questions in our portal! You can use both numeric or non-numeric values int and str content,... Example, if possible, conversion can be done to floating extension.... Youve learned so much about integers and how to represent and convert them between string. Series method astype ( ) function minimums in every sense, why are non-Western countries siding with in...

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